%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG137+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n003.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 05:24:22 PM UTC 2025
% Result : Unsatisfiable 27.52s 16.07s
% Output : CNFRefutation 63.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 29
% Syntax : Number of formulae : 16784 (12265 unt; 0 typ; 0 def)
% Number of atoms : 27123 (25214 equ)
% Maximal formula atoms : 128 ( 1 avg)
% Number of connectives : 15270 (4931 ~;10181 |; 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/sandbox/benchmark/theBenchmark.p',ax4) ).
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/sandbox/benchmark/theBenchmark.p',ax1) ).
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/sandbox/benchmark/theBenchmark.p',ax3) ).
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/sandbox/benchmark/theBenchmark.p',ax2) ).
tff(f_598,axiom,
( ( ( op(op(e0,e0),op(e0,e0)) = e0 )
& ( op(op(e1,e0),op(e1,e0)) = e1 )
& ( op(op(e2,e0),op(e2,e0)) = e2 )
& ( op(op(e3,e0),op(e3,e0)) = e3 ) )
| ( ( op(op(e0,e1),op(e0,e1)) = e0 )
& ( op(op(e1,e1),op(e1,e1)) = e1 )
& ( op(op(e2,e1),op(e2,e1)) = e2 )
& ( op(op(e3,e1),op(e3,e1)) = e3 ) )
| ( ( op(op(e0,e2),op(e0,e2)) = e0 )
& ( op(op(e1,e2),op(e1,e2)) = e1 )
& ( op(op(e2,e2),op(e2,e2)) = e2 )
& ( op(op(e3,e2),op(e3,e2)) = e3 ) )
| ( ( op(op(e0,e3),op(e0,e3)) = e0 )
& ( op(op(e1,e3),op(e1,e3)) = e1 )
& ( op(op(e2,e3),op(e2,e3)) = e2 )
& ( op(op(e3,e3),op(e3,e3)) = e3 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax5) ).
tff(f_616,axiom,
~ ( ( e0 = op(op(e2,e2),e2) )
& ( e1 = op(e2,e2) )
& ( e3 = op(e2,op(op(e2,e2),e2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
tff(f_676,axiom,
~ ( ( e2 = op(op(e0,e0),e0) )
& ( e1 = op(e0,e0) )
& ( e3 = op(e0,op(op(e0,e0),e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
tff(f_694,axiom,
~ ( ( e2 = op(op(e1,e1),e1) )
& ( e3 = op(e1,e1) )
& ( e0 = op(e1,op(op(e1,e1),e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
tff(f_718,axiom,
~ ( ( e3 = op(op(e0,e0),e0) )
& ( e2 = op(e0,e0) )
& ( e1 = op(e0,op(op(e0,e0),e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax25) ).
tff(f_724,axiom,
~ ( ( e3 = op(op(e1,e1),e1) )
& ( e0 = op(e1,e1) )
& ( e2 = op(e1,op(op(e1,e1),e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
tff(f_736,axiom,
~ ( ( e3 = op(op(e2,e2),e2) )
& ( e0 = op(e2,e2) )
& ( e1 = op(e2,op(op(e2,e2),e2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
tff(f_742,axiom,
~ ( ( e3 = op(op(e2,e2),e2) )
& ( e1 = op(e2,e2) )
& ( e0 = op(e2,op(op(e2,e2),e2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
tff(f_688,axiom,
~ ( ( e2 = op(op(e1,e1),e1) )
& ( e0 = op(e1,e1) )
& ( e3 = op(e1,op(op(e1,e1),e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
tff(f_640,axiom,
~ ( ( e1 = op(op(e0,e0),e0) )
& ( e2 = op(e0,e0) )
& ( e3 = op(e0,op(op(e0,e0),e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
tff(f_730,axiom,
~ ( ( e3 = op(op(e1,e1),e1) )
& ( e2 = op(e1,e1) )
& ( e0 = op(e1,op(op(e1,e1),e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
tff(f_604,axiom,
~ ( ( e0 = op(op(e1,e1),e1) )
& ( e2 = op(e1,e1) )
& ( e3 = op(e1,op(op(e1,e1),e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(f_652,axiom,
~ ( ( e1 = op(op(e2,e2),e2) )
& ( e0 = op(e2,e2) )
& ( e3 = op(e2,op(op(e2,e2),e2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
tff(f_658,axiom,
~ ( ( e1 = op(op(e2,e2),e2) )
& ( e3 = op(e2,e2) )
& ( e0 = op(e2,op(op(e2,e2),e2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
tff(f_712,axiom,
~ ( ( e3 = op(op(e0,e0),e0) )
& ( e1 = op(e0,e0) )
& ( e2 = op(e0,op(op(e0,e0),e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
tff(f_670,axiom,
~ ( ( e1 = op(op(e3,e3),e3) )
& ( e2 = op(e3,e3) )
& ( e0 = op(e3,op(op(e3,e3),e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
tff(f_610,axiom,
~ ( ( e0 = op(op(e1,e1),e1) )
& ( e3 = op(e1,e1) )
& ( e2 = op(e1,op(op(e1,e1),e1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
tff(f_664,axiom,
~ ( ( e1 = op(op(e3,e3),e3) )
& ( e0 = op(e3,e3) )
& ( e2 = op(e3,op(op(e3,e3),e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
tff(f_700,axiom,
~ ( ( e2 = op(op(e3,e3),e3) )
& ( e0 = op(e3,e3) )
& ( e1 = op(e3,op(op(e3,e3),e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
tff(f_706,axiom,
~ ( ( e2 = op(op(e3,e3),e3) )
& ( e1 = op(e3,e3) )
& ( e0 = op(e3,op(op(e3,e3),e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
tff(f_622,axiom,
~ ( ( e0 = op(op(e2,e2),e2) )
& ( e3 = op(e2,e2) )
& ( e1 = op(e2,op(op(e2,e2),e2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax9) ).
tff(f_634,axiom,
~ ( ( e0 = op(op(e3,e3),e3) )
& ( e2 = op(e3,e3) )
& ( e1 = op(e3,op(op(e3,e3),e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
tff(f_646,axiom,
~ ( ( e1 = op(op(e0,e0),e0) )
& ( e3 = op(e0,e0) )
& ( e2 = op(e0,op(op(e0,e0),e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
tff(f_628,axiom,
~ ( ( e0 = op(op(e3,e3),e3) )
& ( e1 = op(e3,e3) )
& ( e2 = op(e3,op(op(e3,e3),e3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
tff(f_682,axiom,
~ ( ( e2 = op(op(e0,e0),e0) )
& ( e3 = op(e0,e0) )
& ( e1 = op(e0,op(op(e0,e0),e0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
tff(c_200,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_202,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
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_196,plain,
e3 != e1,
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_198,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
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_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_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_120,plain,
op(e2,e1) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_7488,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_120]) ).
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_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_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_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_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_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_190,plain,
op(e2,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_787,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_190]) ).
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_2945,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_22]) ).
tff(c_2946,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_2945]) ).
tff(c_132,plain,
op(e1,e1) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2948,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2946,c_132]) ).
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_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_2796,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_793,c_784,c_10]) ).
tff(c_2797,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_2796]) ).
tff(c_154,plain,
op(e2,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2812,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2797,c_154]) ).
tff(c_110,plain,
op(e2,e3) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2813,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2797,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_3065,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_796,c_2813,c_783,c_12]) ).
tff(c_172,plain,
op(e3,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2951,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2946,c_172]) ).
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_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_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_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_180,plain,
op(e1,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_823,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_815,c_180]) ).
tff(c_152,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_807,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_152]) ).
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_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_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_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_838,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
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_100,plain,
op(e3,e3) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_808,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_100]) ).
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_849,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_6]) ).
tff(c_850,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_849]) ).
tff(c_176,plain,
op(e3,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_853,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_850,c_176]) ).
tff(c_872,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_873,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_823,c_204,c_807,c_872]) ).
tff(c_905,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_873,c_817,c_88]) ).
tff(c_906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_853,c_202,c_843,c_905]) ).
tff(c_907,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_849]) ).
tff(c_692,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_1094,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_803,c_969,c_969,c_932,c_817,c_817,c_803,c_907,c_907,c_815,c_932,c_932,c_692]) ).
tff(c_1095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_204,c_1094]) ).
tff(c_1096,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_1574,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1096,c_156]) ).
tff(c_1104,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_815,c_180]) ).
tff(c_1146,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_6]) ).
tff(c_1147,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_1146]) ).
tff(c_1150,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1147,c_176]) ).
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_1098,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_1135,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1096,c_156]) ).
tff(c_148,plain,
op(e3,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_805,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_803,c_148]) ).
tff(c_128,plain,
op(e1,e3) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1111,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_128]) ).
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_1156,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_1135,c_805,c_1111,c_18]) ).
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_1177,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_815,c_1156,c_80]) ).
tff(c_1178,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_1177]) ).
tff(c_1097,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_816]) ).
tff(c_1119,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1104,c_807,c_92]) ).
tff(c_1120,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_1119]) ).
tff(c_142,plain,
op(e0,e2) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1125,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_142]) ).
tff(c_1166,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1120,c_1096,c_84]) ).
tff(c_1167,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_1166]) ).
tff(c_1168,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_1167]) ).
tff(c_138,plain,
op(e0,e2) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1172,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1168,c_138]) ).
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_1197,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_1097,c_1125,c_1172,c_28]) ).
tff(c_166,plain,
op(e2,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1201,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1197,c_166]) ).
tff(c_1219,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_796,c_1201,c_783,c_12]) ).
tff(c_722,plain,
( ( op(e2,op(op(e2,e2),e2)) != e3 )
| ( op(e2,e2) != e1 )
| ( op(op(e2,e2),e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_616]) ).
tff(c_1318,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1178,c_1219,c_1219,c_780,c_1178,c_1219,c_722]) ).
tff(c_1320,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_1167]) ).
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_1362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_795,c_1104,c_1150,c_1320,c_30]) ).
tff(c_1363,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_1146]) ).
tff(c_1367,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1363,c_176]) ).
tff(c_1374,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_795,c_1104,c_30]) ).
tff(c_1375,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_1374]) ).
tff(c_1378,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1375,c_138]) ).
tff(c_1419,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_1097,c_1125,c_1378,c_28]) ).
tff(c_742,plain,
( ( op(e0,op(op(e0,e0),e0)) != e3 )
| ( op(e0,e0) != e1 )
| ( op(op(e0,e0),e0) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_1516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_1120,c_1120,c_1419,c_1098,c_1120,c_742]) ).
tff(c_1517,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_1374]) ).
tff(c_1519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1367,c_1517]) ).
tff(c_1521,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_1119]) ).
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_1555,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1098,c_780,c_765,c_90]) ).
tff(c_1556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1521,c_198,c_196,c_204,c_1555]) ).
tff(c_1557,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_1591,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_815,c_1557]) ).
tff(c_1592,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_1591]) ).
tff(c_1593,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_1592]) ).
tff(c_150,plain,
op(e2,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1597,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1593,c_150]) ).
tff(c_1627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_1597,c_784,c_10]) ).
tff(c_1628,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_1592]) ).
tff(c_1709,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_815,c_1628,c_80]) ).
tff(c_1710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_202,c_1574,c_1709]) ).
tff(c_1711,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_814]) ).
tff(c_1713,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_1711]) ).
tff(c_1719,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1713,c_172]) ).
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_1737,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_787,c_32]) ).
tff(c_1738,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_1737]) ).
tff(c_192,plain,
op(e1,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1743,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1738,c_192]) ).
tff(c_1725,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_96]) ).
tff(c_1726,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_1725]) ).
tff(c_168,plain,
op(e1,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1731,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1726,c_168]) ).
tff(c_126,plain,
op(e1,e2) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1718,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1713,c_126]) ).
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_1750,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1731,c_1718,c_20]) ).
tff(c_1751,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_1750]) ).
tff(c_162,plain,
op(e2,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1768,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1751,c_162]) ).
tff(c_1752,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
tff(c_1758,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1752,c_110]) ).
tff(c_1794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_796,c_1768,c_1758,c_783,c_12]) ).
tff(c_1795,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_1750]) ).
tff(c_130,plain,
op(e1,e2) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1800,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1795,c_130]) ).
tff(c_186,plain,
op(e2,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
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_1808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_1743,c_1800,c_786,c_24]) ).
tff(c_1809,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_1737]) ).
tff(c_1815,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1809,c_192]) ).
tff(c_1857,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_1815,c_786,c_24]) ).
tff(c_1861,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1857,c_130]) ).
tff(c_1879,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_796,c_783,c_12]) ).
tff(c_1880,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_1879]) ).
tff(c_1893,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
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_1820,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_803,c_40]) ).
tff(c_1821,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_1820]) ).
tff(c_1822,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_1821]) ).
tff(c_1826,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1822,c_176]) ).
tff(c_1720,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1713,c_180]) ).
tff(c_1911,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_795,c_1826,c_1720,c_30]) ).
tff(c_458,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_2015,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1880,c_1893,c_1893,c_1809,c_1726,c_1726,c_1713,c_1911,c_1911,c_1713,c_1857,c_1857,c_458]) ).
tff(c_2016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_200,c_196,c_2015]) ).
tff(c_2017,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_1879]) ).
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_102,plain,
op(e3,e2) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1827,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1822,c_102]) ).
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_1835,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_809,c_1827,c_4]) ).
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_2030,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1726,c_2017,c_1835,c_58]) ).
tff(c_2031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_1861,c_198,c_196,c_2030]) ).
tff(c_2032,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_1821]) ).
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_2085,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_2032,c_803,c_36]) ).
tff(c_2086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_1719,c_194,c_196,c_2085]) ).
tff(c_2087,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_1725]) ).
tff(c_2094,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2087,c_156]) ).
tff(c_124,plain,
op(e1,e3) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1717,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1713,c_124]) ).
tff(c_2157,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_2094,c_805,c_1717,c_18]) ).
tff(c_2161,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2157,c_150]) ).
tff(c_2200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_2161,c_784,c_10]) ).
tff(c_2201,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_1711]) ).
tff(c_2207,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2201,c_126]) ).
tff(c_2214,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_2226,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
tff(c_2232,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2226,c_110]) ).
tff(c_2279,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_796,c_2232,c_783,c_12]) ).
tff(c_2413,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2214,c_2279,c_2279,c_780,c_2214,c_2279,c_722]) ).
tff(c_2414,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_2428,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_2207,c_2414]) ).
tff(c_2429,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_2428]) ).
tff(c_2436,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2429,c_168]) ).
tff(c_2209,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2201,c_180]) ).
tff(c_2208,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2201,c_172]) ).
tff(c_2441,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_803,c_40]) ).
tff(c_2442,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_2208,c_198,c_2441]) ).
tff(c_164,plain,
op(e3,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2447,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2442,c_164]) ).
tff(c_2417,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_793,c_806,c_784,c_10]) ).
tff(c_2422,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2417,c_154]) ).
tff(c_2453,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_807,c_92]) ).
tff(c_2454,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_2453]) ).
tff(c_2465,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2454,c_88]) ).
tff(c_2466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_2209,c_2447,c_2422,c_2465]) ).
tff(c_2468,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_2453]) ).
tff(c_2469,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_2468,c_787,c_32]) ).
tff(c_2467,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_2453]) ).
tff(c_2481,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_2467]) ).
tff(c_2485,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2481,c_138]) ).
tff(c_2509,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2469,c_2481,c_84]) ).
tff(c_2510,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_2509]) ).
tff(c_2511,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_2510]) ).
tff(c_2516,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2511,c_176]) ).
tff(c_2521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_808,c_2208,c_2516,c_6]) ).
tff(c_2523,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_2510]) ).
tff(c_2532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_795,c_2485,c_2209,c_2523,c_30]) ).
tff(c_2533,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_2467]) ).
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_2623,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_781,c_2417,c_60]) ).
tff(c_2624,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_2623]) ).
tff(c_2548,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2469,c_2533,c_96]) ).
tff(c_2549,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_2548]) ).
tff(c_2550,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_2549]) ).
tff(c_2600,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_2442,c_803,c_36]) ).
tff(c_2601,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_2600]) ).
tff(c_436,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_2703,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2624,c_2417,c_2417,c_2469,c_2550,c_2550,c_803,c_2601,c_2601,c_2624,c_2469,c_2469,c_436]) ).
tff(c_2704,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_196,c_204,c_2703]) ).
tff(c_2705,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_2549]) ).
tff(c_2721,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2469,c_2533,c_2705,c_84]) ).
tff(c_2722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_2436,c_200,c_2721]) ).
tff(c_2723,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_2428]) ).
tff(c_2727,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2723,c_130]) ).
tff(c_2205,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2201,c_132]) ).
tff(c_2792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_2727,c_2205,c_786,c_24]) ).
tff(c_2793,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_802]) ).
tff(c_2795,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_2793]) ).
tff(c_2803,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_100]) ).
tff(c_2972,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_2951,c_2803,c_6]) ).
tff(c_2976,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2972,c_176]) ).
tff(c_2982,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_787,c_32]) ).
tff(c_2983,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_2982]) ).
tff(c_2818,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_96]) ).
tff(c_2819,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_2818]) ).
tff(c_3053,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2983,c_2819,c_88]) ).
tff(c_3054,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_2976,c_202,c_3053]) ).
tff(c_2977,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2972,c_102]) ).
tff(c_2804,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_98]) ).
tff(c_3013,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_2977,c_2804,c_4]) ).
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_3075,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2946,c_781,c_2972,c_66]) ).
tff(c_3076,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_3075]) ).
tff(c_2824,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2819,c_168]) ).
tff(c_2830,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_2824,c_20]) ).
tff(c_2831,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_2830]) ).
tff(c_160,plain,
op(e3,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2835,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2831,c_160]) ).
tff(c_2844,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_2835,c_2804,c_4]) ).
tff(c_158,plain,
op(e3,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2848,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2844,c_158]) ).
tff(c_2942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_796,c_2813,c_2848,c_783,c_12]) ).
tff(c_2943,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_2830]) ).
tff(c_2957,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_2943]) ).
tff(c_2811,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2797,c_150]) ).
tff(c_2800,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_148]) ).
tff(c_3001,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_2811,c_2800,c_18]) ).
tff(c_3002,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_3001]) ).
tff(c_3034,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2946,c_2957,c_3002,c_72]) ).
tff(c_3035,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_3034]) ).
tff(c_618,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_3135,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3065,c_3054,c_3054,c_2946,c_3013,c_3013,c_2795,c_3076,c_3076,c_3065,c_3035,c_3035,c_618]) ).
tff(c_3136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_200,c_198,c_3135]) ).
tff(c_3137,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_3001]) ).
tff(c_3141,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3137,c_128]) ).
tff(c_3150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_2948,c_3141,c_786,c_24]) ).
tff(c_3151,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_2982]) ).
tff(c_2802,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_152]) ).
tff(c_3163,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3151,c_2819,c_84]) ).
tff(c_3164,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_2802,c_3163]) ).
tff(c_3195,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3151,c_3164,c_2819,c_92]) ).
tff(c_3196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_2812,c_3195]) ).
tff(c_3197,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_2943]) ).
tff(c_3201,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3197,c_130]) ).
tff(c_3253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_2948,c_3201,c_786,c_24]) ).
tff(c_3254,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_2945]) ).
tff(c_3256,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_3254]) ).
tff(c_3263,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3256,c_180]) ).
tff(c_3297,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2819,c_84]) ).
tff(c_3298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_787,c_3263,c_200,c_2802,c_3297]) ).
tff(c_3299,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_3254]) ).
tff(c_3307,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3299,c_172]) ).
tff(c_3327,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_3307,c_2803,c_6]) ).
tff(c_3332,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3327,c_102]) ).
tff(c_3394,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_796,c_2813,c_783,c_12]) ).
tff(c_3398,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3394,c_158]) ).
tff(c_3403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_3332,c_3398,c_2804,c_4]) ).
tff(c_3404,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_2818]) ).
tff(c_3535,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3404,c_156]) ).
tff(c_3405,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_2818]) ).
tff(c_3406,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_2812,c_92]) ).
tff(c_3407,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_3406]) ).
tff(c_3413,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3407,c_192]) ).
tff(c_3422,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3404,c_156]) ).
tff(c_3428,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_3422,c_2811,c_2800,c_18]) ).
tff(c_3432,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3428,c_128]) ).
tff(c_3527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_3413,c_3432,c_786,c_24]) ).
tff(c_3528,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_3406]) ).
tff(c_3540,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_3528]) ).
tff(c_3546,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3540,c_164]) ).
tff(c_3553,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_2803,c_6]) ).
tff(c_3554,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_3553]) ).
tff(c_3557,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3554,c_172]) ).
tff(c_3564,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_3557,c_22]) ).
tff(c_3565,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_3564]) ).
tff(c_3569,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3565,c_124]) ).
tff(c_3606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3535,c_2811,c_3569,c_2800,c_18]) ).
tff(c_3607,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_3564]) ).
tff(c_3615,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3607,c_180]) ).
tff(c_3622,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3540,c_3404,c_84]) ).
tff(c_3623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_787,c_3615,c_196,c_200,c_3622]) ).
tff(c_3624,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_3553]) ).
tff(c_3630,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3624,c_102]) ).
tff(c_3695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_3546,c_3630,c_2804,c_4]) ).
tff(c_3697,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_3528]) ).
tff(c_3529,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_3406]) ).
tff(c_3889,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_3529,c_787,c_32]) ).
tff(c_3893,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3889,c_142]) ).
tff(c_3696,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_3528]) ).
tff(c_3701,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3696,c_176]) ).
tff(c_3709,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_3701,c_2803,c_6]) ).
tff(c_3702,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3696,c_180]) ).
tff(c_3713,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_172]) ).
tff(c_3743,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_792,c_3702,c_3713,c_22]) ).
tff(c_3719,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_748,plain,
( ( op(e1,op(op(e1,e1),e1)) != e0 )
| ( op(e1,e1) != e3 )
| ( op(op(e1,e1),e1) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_694]) ).
tff(c_3872,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_3743,c_3743,c_3719,c_3709,c_3743,c_748]) ).
tff(c_3873,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_3877,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_3873]) ).
tff(c_3884,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3877,c_168]) ).
tff(c_3934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3405,c_3697,c_3893,c_3884,c_28]) ).
tff(c_3935,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_3873]) ).
tff(c_3937,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_3935]) ).
tff(c_3942,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3937,c_160]) ).
tff(c_3714,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3709,c_102]) ).
tff(c_3985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_3942,c_3714,c_2804,c_4]) ).
tff(c_3986,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_3935]) ).
tff(c_122,plain,
op(e1,e3) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3991,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3986,c_122]) ).
tff(c_4066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3535,c_2811,c_3991,c_2800,c_18]) ).
tff(c_4067,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_2796]) ).
tff(c_4337,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4067,c_110]) ).
tff(c_4795,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_796,c_4337,c_783,c_12]) ).
tff(c_4799,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4795,c_158]) ).
tff(c_4080,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_22]) ).
tff(c_4081,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_4080]) ).
tff(c_4086,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4081,c_172]) ).
tff(c_4074,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_100]) ).
tff(c_4319,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_4086,c_4074,c_6]) ).
tff(c_4075,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_98]) ).
tff(c_4101,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4075,c_4]) ).
tff(c_4102,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_4101]) ).
tff(c_4105,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4102,c_158]) ).
tff(c_4193,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_781,c_4067,c_60]) ).
tff(c_4194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_4105,c_198,c_4193]) ).
tff(c_4195,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_4101]) ).
tff(c_4313,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4195,c_102]) ).
tff(c_4329,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4319,c_4313]) ).
tff(c_4330,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_4080]) ).
tff(c_4599,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_4330]) ).
tff(c_4335,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4067,c_150]) ).
tff(c_4342,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_4335,c_72]) ).
tff(c_4343,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_4342]) ).
tff(c_4349,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4343,c_192]) ).
tff(c_4366,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_4349,c_787,c_32]) ).
tff(c_144,plain,
op(e0,e1) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4372,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4366,c_144]) ).
tff(c_4346,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4343,c_132]) ).
tff(c_4354,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_4346,c_4330]) ).
tff(c_4361,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4354,c_180]) ).
tff(c_4486,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_795,c_4372,c_4361,c_30]) ).
tff(c_140,plain,
op(e0,e3) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4370,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4366,c_140]) ).
tff(c_4336,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4067,c_154]) ).
tff(c_4073,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_152]) ).
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_4462,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_4370,c_4336,c_4073,c_26]) ).
tff(c_4524,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4366,c_4486,c_4462,c_84]) ).
tff(c_4525,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_4524]) ).
tff(c_4596,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4343,c_4366,c_4366,c_4525,c_4343,c_4366,c_742]) ).
tff(c_4597,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_4342]) ).
tff(c_4611,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4599,c_4597]) ).
tff(c_4612,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_4611]) ).
tff(c_4616,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4612,c_160]) ).
tff(c_4812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_4799,c_4616,c_4075,c_4]) ).
tff(c_4813,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_4330]) ).
tff(c_4826,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4813,c_80]) ).
tff(c_4827,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_4826]) ).
tff(c_4828,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_4827]) ).
tff(c_4830,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4828,c_122]) ).
tff(c_4598,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_4342]) ).
tff(c_4852,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_4598,c_786,c_24]) ).
tff(c_4856,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4852,c_128]) ).
tff(c_4071,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2795,c_148]) ).
tff(c_4915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4830,c_4856,c_4335,c_4071,c_18]) ).
tff(c_4916,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_4827]) ).
tff(c_5014,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4916,c_156]) ).
tff(c_4821,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4813,c_180]) ).
tff(c_4918,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4075,c_4]) ).
tff(c_4919,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_4918]) ).
tff(c_4925,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4919,c_102]) ).
tff(c_4820,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4813,c_172]) ).
tff(c_5007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_4925,c_4820,c_4074,c_6]) ).
tff(c_5008,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_4918]) ).
tff(c_5024,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5008,c_164]) ).
tff(c_5138,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_4820,c_4074,c_6]) ).
tff(c_5142,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5138,c_176]) ).
tff(c_5147,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_5142,c_92]) ).
tff(c_5148,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_5147]) ).
tff(c_4917,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_4827]) ).
tff(c_4819,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4813,c_126]) ).
tff(c_5033,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4917,c_4819,c_20]) ).
tff(c_5034,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_5033]) ).
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_5124,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4813,c_5034,c_4916,c_68]) ).
tff(c_5125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_786,c_194,c_196,c_200,c_5124]) ).
tff(c_5126,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_5033]) ).
tff(c_5132,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5126,c_168]) ).
tff(c_5163,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5148,c_84]) ).
tff(c_5164,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_5132,c_4073,c_5163]) ).
tff(c_5176,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5148,c_5164,c_88]) ).
tff(c_5177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_5024,c_4336,c_5176]) ).
tff(c_5178,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_5147]) ).
tff(c_5180,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_5178]) ).
tff(c_5209,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5180,c_88]) ).
tff(c_5210,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_4821,c_5024,c_198,c_5209]) ).
tff(c_756,plain,
( ( op(e0,op(op(e0,e0),e0)) != e1 )
| ( op(e0,e0) != e2 )
| ( op(op(e0,e0),e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_718]) ).
tff(c_5330,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_5210,c_5210,c_5180,c_780,c_5210,c_756]) ).
tff(c_5331,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_5178]) ).
tff(c_5343,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5331,c_96]) ).
tff(c_5344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_204,c_5014,c_5343]) ).
tff(c_5345,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_2793]) ).
tff(c_5351,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_152]) ).
tff(c_5352,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_100]) ).
tff(c_5370,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_787,c_32]) ).
tff(c_5371,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_5370]) ).
tff(c_5377,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5371,c_192]) ).
tff(c_5359,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_6]) ).
tff(c_5360,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_5359]) ).
tff(c_5362,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5360,c_172]) ).
tff(c_5349,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_148]) ).
tff(c_5382,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_5349,c_72]) ).
tff(c_5383,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_5382]) ).
tff(c_5387,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5383,c_132]) ).
tff(c_5673,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_792,c_5362,c_5387,c_22]) ).
tff(c_5677,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5673,c_126]) ).
tff(c_5396,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5383,c_80]) ).
tff(c_5397,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_792,c_5396]) ).
tff(c_5398,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_5397]) ).
tff(c_5400,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5398,c_122]) ).
tff(c_5409,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_5400,c_5349,c_18]) ).
tff(c_5410,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_5409]) ).
tff(c_5413,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5410,c_150]) ).
tff(c_5350,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_146]) ).
tff(c_5462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_793,c_5413,c_5350,c_784,c_10]) ).
tff(c_5463,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_5409]) ).
tff(c_5471,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5463,c_124]) ).
tff(c_5481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_792,c_5362,c_5387,c_5471,c_22]) ).
tff(c_5482,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_5397]) ).
tff(c_5488,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5482,c_156]) ).
tff(c_5374,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5371,c_140]) ).
tff(c_5518,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_5488,c_5374,c_5351,c_26]) ).
tff(c_5375,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5371,c_142]) ).
tff(c_5483,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_5397]) ).
tff(c_5389,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5383,c_130]) ).
tff(c_5495,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_5483,c_5389,c_20]) ).
tff(c_5496,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_5495]) ).
tff(c_5500,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5496,c_162]) ).
tff(c_5507,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_796,c_5500,c_783,c_12]) ).
tff(c_5512,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5507,c_166]) ).
tff(c_134,plain,
op(e0,e3) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_5522,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5518,c_134]) ).
tff(c_5581,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_5375,c_5512,c_5522,c_28]) ).
tff(c_5552,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_792,c_5362,c_5387,c_22]) ).
tff(c_706,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_5669,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_5518,c_5518,c_5371,c_5581,c_5581,c_5345,c_5552,c_5552,c_5507,c_5383,c_5383,c_706]) ).
tff(c_5670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_198,c_5669]) ).
tff(c_5671,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_5495]) ).
tff(c_5683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5677,c_5671]) ).
tff(c_5685,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_5382]) ).
tff(c_5813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_5377,c_5685,c_786,c_24]) ).
tff(c_5814,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_5370]) ).
tff(c_5363,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5360,c_176]) ).
tff(c_5820,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_144]) ).
tff(c_6136,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_795,c_5363,c_5820,c_30]) ).
tff(c_6113,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_92]) ).
tff(c_6114,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_5363,c_6113]) ).
tff(c_6115,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_6114]) ).
tff(c_6198,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_6136,c_6115,c_96]) ).
tff(c_6199,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_6198]) ).
tff(c_5855,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_92]) ).
tff(c_5856,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_5363,c_5855]) ).
tff(c_5857,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_5856]) ).
tff(c_5827,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_5349,c_72]) ).
tff(c_5828,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_5827]) ).
tff(c_5821,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_192]) ).
tff(c_5839,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5828,c_5821]) ).
tff(c_5841,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_5827]) ).
tff(c_5867,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_5841,c_786,c_24]) ).
tff(c_5840,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_5827]) ).
tff(c_5842,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_5840]) ).
tff(c_5903,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5867,c_5842,c_80]) ).
tff(c_5904,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_792,c_202,c_5903]) ).
tff(c_5909,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5904,c_156]) ).
tff(c_5879,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_5857,c_84]) ).
tff(c_5880,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_5879]) ).
tff(c_5881,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_5880]) ).
tff(c_5927,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_5881,c_5857,c_96]) ).
tff(c_5928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_5909,c_5927]) ).
tff(c_5929,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_5880]) ).
tff(c_5997,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_5857,c_5929,c_96]) ).
tff(c_5998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_795,c_204,c_200,c_5997]) ).
tff(c_5999,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_5856]) ).
tff(c_6004,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5999,c_154]) ).
tff(c_6096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_793,c_6004,c_5350,c_784,c_10]) ).
tff(c_6097,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_5840]) ).
tff(c_6126,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_5841,c_786,c_24]) ).
tff(c_690,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_6311,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5814,c_6199,c_6199,c_6097,c_6115,c_6115,c_6097,c_5360,c_5360,c_6097,c_6126,c_6126,c_690]) ).
tff(c_6312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_194,c_198,c_6311]) ).
tff(c_6313,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_6114]) ).
tff(c_6318,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6313,c_154]) ).
tff(c_6397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_793,c_6318,c_5350,c_784,c_10]) ).
tff(c_6398,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_5359]) ).
tff(c_6400,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_5352,c_6398]) ).
tff(c_6405,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6400,c_176]) ).
tff(c_6425,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_786,c_24]) ).
tff(c_6426,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_6425]) ).
tff(c_6429,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6426,c_132]) ).
tff(c_5353,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5345,c_98]) ).
tff(c_6406,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6400,c_102]) ).
tff(c_6458,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_5353,c_6406,c_4]) ).
tff(c_6462,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6458,c_158]) ).
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_6436,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_781,c_6400,c_74]) ).
tff(c_6437,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_6436]) ).
tff(c_6438,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_6437]) ).
tff(c_6411,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_5349,c_18]) ).
tff(c_6412,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_6411]) ).
tff(c_6418,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6412,c_156]) ).
tff(c_6469,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6438,c_84]) ).
tff(c_6470,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_787,c_196,c_6469]) ).
tff(c_6471,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_6470]) ).
tff(c_6481,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6438,c_6471,c_96]) ).
tff(c_6482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_200,c_6418,c_6481]) ).
tff(c_6483,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_6470]) ).
tff(c_6495,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6438,c_6483,c_88]) ).
tff(c_6496,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_6495]) ).
tff(c_6497,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_6496]) ).
tff(c_6404,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6400,c_172]) ).
tff(c_6449,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_792,c_6429,c_6404,c_22]) ).
tff(c_490,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_6643,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6497,c_6412,c_6412,c_6449,c_6458,c_6458,c_6449,c_6438,c_6438,c_6449,c_6426,c_6426,c_490]) ).
tff(c_6644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_198,c_6643]) ).
tff(c_6645,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_6496]) ).
tff(c_6650,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6645,c_166]) ).
tff(c_6660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_796,c_6462,c_6650,c_783,c_12]) ).
tff(c_6661,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_6437]) ).
tff(c_6673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6429,c_6661]) ).
tff(c_6674,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_6425]) ).
tff(c_6680,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6674,c_192]) ).
tff(c_6686,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_781,c_6400,c_74]) ).
tff(c_6687,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_6686]) ).
tff(c_6688,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_6687]) ).
tff(c_6701,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6688,c_96]) ).
tff(c_6702,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_6418,c_6701]) ).
tff(c_6727,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6688,c_6702,c_88]) ).
tff(c_6728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6680,c_198,c_202,c_5351,c_6727]) ).
tff(c_6729,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_6687]) ).
tff(c_6807,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_793,c_5350,c_784,c_10]) ).
tff(c_6845,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_6680,c_787,c_32]) ).
tff(c_6731,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_795,c_6418,c_96]) ).
tff(c_430,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_6915,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6729,c_6807,c_6807,c_6845,c_6731,c_6731,c_5345,c_6400,c_6400,c_6845,c_765,c_765,c_430]) ).
tff(c_6916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_196,c_6915]) ).
tff(c_6917,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6411]) ).
tff(c_6919,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_6917]) ).
tff(c_6926,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6919,c_156]) ).
tff(c_6931,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_787,c_6405,c_6926,c_84]) ).
tff(c_7143,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6931,c_88]) ).
tff(c_7144,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_5351,c_7143]) ).
tff(c_7145,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_7144]) ).
tff(c_7149,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7145,c_144]) ).
tff(c_7157,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_795,c_7149,c_6405,c_30]) ).
tff(c_7162,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7157,c_180]) ).
tff(c_6952,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6919,c_72]) ).
tff(c_6953,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_6952]) ).
tff(c_6954,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_6953]) ).
tff(c_6959,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6954,c_192]) ).
tff(c_7014,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_6959,c_787,c_32]) ).
tff(c_7128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6954,c_7014,c_7014,c_6931,c_6954,c_7014,c_742]) ).
tff(c_7129,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_6953]) ).
tff(c_7133,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_7129]) ).
tff(c_7138,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7133,c_126]) ).
tff(c_7218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_792,c_7162,c_7138,c_6404,c_22]) ).
tff(c_7219,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_7144]) ).
tff(c_7232,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7219,c_781,c_6400,c_74]) ).
tff(c_7233,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_7232]) ).
tff(c_7237,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7233,c_132]) ).
tff(c_7130,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_6953]) ).
tff(c_7264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_7237,c_7130,c_786,c_24]) ).
tff(c_7265,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_7129]) ).
tff(c_7271,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7265,c_180]) ).
tff(c_7276,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_795,c_7271,c_6405,c_30]) ).
tff(c_7286,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7276,c_6931,c_96]) ).
tff(c_7287,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_200,c_7286]) ).
tff(c_7310,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7276,c_6931,c_7287,c_88]) ).
tff(c_7311,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_7310]) ).
tff(c_6942,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_793,c_5350,c_784,c_10]) ).
tff(c_6947,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6942,c_110]) ).
tff(c_7352,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_796,c_6947,c_783,c_12]) ).
tff(c_7300,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_7130,c_786,c_24]) ).
tff(c_7438,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7311,c_7287,c_7287,c_5345,c_6931,c_6931,c_7352,c_7265,c_7265,c_7265,c_7300,c_7300,c_706]) ).
tff(c_7439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_198,c_198,c_7438]) ).
tff(c_7440,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_6917]) ).
tff(c_7459,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7440,c_128]) ).
tff(c_7442,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_792,c_6404,c_22]) ).
tff(c_7443,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_7442]) ).
tff(c_7447,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7443,c_124]) ).
tff(c_7454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7447,c_7440]) ).
tff(c_7455,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_7442]) ).
tff(c_7471,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7455,c_132]) ).
tff(c_7482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_7459,c_7471,c_786,c_24]) ).
tff(c_7483,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_7495,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7488,c_7483]) ).
tff(c_7496,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_7495]) ).
tff(c_7503,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7496,c_114]) ).
tff(c_7490,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_190]) ).
tff(c_8659,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_8660,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_8659]) ).
tff(c_8665,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8660,c_192]) ).
tff(c_7499,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7496,c_174]) ).
tff(c_7531,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_7499,c_22]) ).
tff(c_7532,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_7531]) ).
tff(c_7538,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7532,c_180]) ).
tff(c_7486,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_118]) ).
tff(c_7508,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_7486,c_12]) ).
tff(c_7509,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_7508]) ).
tff(c_7514,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7509,c_166]) ).
tff(c_7515,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7509,c_110]) ).
tff(c_7500,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7496,c_112]) ).
tff(c_7487,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_116]) ).
tff(c_7520,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_7515,c_7500,c_7487,c_10]) ).
tff(c_7524,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7520,c_146]) ).
tff(c_7489,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_186]) ).
tff(c_8316,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_7489,c_24]) ).
tff(c_8317,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_8316]) ).
tff(c_7535,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7532,c_124]) ).
tff(c_7525,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7520,c_150]) ).
tff(c_7513,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7509,c_162]) ).
tff(c_8332,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8317,c_130]) ).
tff(c_8340,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7513,c_8332,c_20]) ).
tff(c_8341,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_8340]) ).
tff(c_8344,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8341,c_122]) ).
tff(c_170,plain,
op(e3,e1) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_7501,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7496,c_170]) ).
tff(c_7555,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40]) ).
tff(c_7556,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_7501,c_7555]) ).
tff(c_7557,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_7556]) ).
tff(c_7562,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7557,c_98]) ).
tff(c_7567,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7535,c_7525,c_18]) ).
tff(c_7568,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_7567]) ).
tff(c_7572,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7568,c_128]) ).
tff(c_7578,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_770,c_7572,c_7489,c_24]) ).
tff(c_7583,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7578,c_192]) ).
tff(c_7729,plain,
( ( op(e3,e1) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7532,c_7496,c_74]) ).
tff(c_7730,plain,
( ( op(e3,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_7729]) ).
tff(c_7731,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_7730]) ).
tff(c_7736,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7731,c_176]) ).
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_7741,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_7557,c_44]) ).
tff(c_7742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_7736,c_198,c_7524,c_7741]) ).
tff(c_7744,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_7730]) ).
tff(c_7526,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7520,c_154]) ).
tff(c_7543,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_7526,c_26]) ).
tff(c_7544,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_7543]) ).
tff(c_7590,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7544,c_84]) ).
tff(c_7591,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_7490,c_200,c_7590]) ).
tff(c_7592,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_7591]) ).
tff(c_758,plain,
( ( op(e1,op(op(e1,e1),e1)) != e2 )
| ( op(e1,e1) != e0 )
| ( op(op(e1,e1),e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_724]) ).
tff(c_7715,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7592,c_7532,c_7532,c_7568,c_7592,c_7532,c_758]) ).
tff(c_7716,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_7591]) ).
tff(c_7762,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7716,c_7544,c_92]) ).
tff(c_7763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7583,c_7744,c_196,c_204,c_7762]) ).
tff(c_7764,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_7567]) ).
tff(c_7768,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7764,c_148]) ).
tff(c_7778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_7524,c_7562,c_7768,c_2]) ).
tff(c_7779,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_7556]) ).
tff(c_7783,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7779,c_148]) ).
tff(c_7812,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_7535,c_7525,c_7783,c_18]) ).
tff(c_7790,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_7489,c_24]) ).
tff(c_7791,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_7790]) ).
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_7842,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7791,c_780,c_765,c_86]) ).
tff(c_7843,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_7842]) ).
tff(c_7826,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7544,c_84]) ).
tff(c_7827,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_7490,c_200,c_7826]) ).
tff(c_7828,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_7827]) ).
tff(c_7876,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7843,c_7828,c_7544,c_92]) ).
tff(c_7877,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_7876]) ).
tff(c_7801,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7791,c_7532,c_72]) ).
tff(c_7802,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_7783,c_7801]) ).
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_7890,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7877,c_7802,c_7509,c_50]) ).
tff(c_7891,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_7890]) ).
tff(c_7977,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7779,c_7812,c_7812,c_7779,c_7891,c_7891,c_7779,c_7828,c_7828,c_7532,c_7791,c_7791,c_490]) ).
tff(c_7978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_204,c_7977]) ).
tff(c_7979,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_7827]) ).
tff(c_762,plain,
( ( op(e2,op(op(e2,e2),e2)) != e1 )
| ( op(e2,e2) != e0 )
| ( op(op(e2,e2),e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_736]) ).
tff(c_8102,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_7979,c_7509,c_7509,c_7520,c_7979,c_7509,c_762]) ).
tff(c_8103,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_7790]) ).
tff(c_8109,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8103,c_192]) ).
tff(c_8128,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_8109,c_7490,c_32]) ).
tff(c_8133,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8128,c_144]) ).
tff(c_7502,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7496,c_178]) ).
tff(c_8108,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8103,c_130]) ).
tff(c_8115,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_7535,c_7525,c_7783,c_18]) ).
tff(c_8119,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8115,c_122]) ).
tff(c_8142,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_7513,c_8108,c_8119,c_20]) ).
tff(c_8172,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8142,c_7509,c_50]) ).
tff(c_8173,plain,
( ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_8172]) ).
tff(c_8174,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_8173]) ).
tff(c_8177,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8174,c_138]) ).
tff(c_8193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7538,c_8133,c_7502,c_8177,c_30]) ).
tff(c_8195,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_8173]) ).
tff(c_8210,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8128,c_7544,c_84]) ).
tff(c_8211,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_8195,c_200,c_8210]) ).
tff(c_646,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_8311,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8128,c_7544,c_7544,c_8128,c_7509,c_7509,c_7779,c_8211,c_8211,c_8128,c_765,c_765,c_646]) ).
tff(c_8312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_202,c_196,c_8311]) ).
tff(c_8313,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_7543]) ).
tff(c_8315,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_8313]) ).
tff(c_8324,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_156]) ).
tff(c_8364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7535,c_7525,c_8344,c_8324,c_18]) ).
tff(c_8365,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_8340]) ).
tff(c_8377,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8317,c_7532,c_8365,c_72]) ).
tff(c_8378,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_8377]) ).
tff(c_8382,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8378,c_148]) ).
tff(c_8323,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_152]) ).
tff(c_8387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_7524,c_8382,c_8323,c_2]) ).
tff(c_8388,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_8316]) ).
tff(c_8511,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8388,c_192]) ).
tff(c_8540,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_8511,c_7490,c_32]) ).
tff(c_8545,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8540,c_144]) ).
tff(c_136,plain,
op(e0,e3) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_8393,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8315,c_136]) ).
tff(c_8579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7538,c_8545,c_7502,c_8393,c_30]) ).
tff(c_8580,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_8313]) ).
tff(c_8631,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8580,c_96]) ).
tff(c_8632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_7538,c_7514,c_202,c_8631]) ).
tff(c_8633,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_7531]) ).
tff(c_8635,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_8633]) ).
tff(c_8670,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_80]) ).
tff(c_8671,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_7513,c_8670]) ).
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_8708,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8671,c_7520,c_34]) ).
tff(c_8709,plain,
( ( op(e3,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_8708]) ).
tff(c_8710,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_8709]) ).
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_8762,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8710,c_8671,c_7520,c_38]) ).
tff(c_8763,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_8762]) ).
tff(c_8713,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8710,c_134]) ).
tff(c_8640,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_126]) ).
tff(c_8684,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_7513,c_8640,c_20]) ).
tff(c_8685,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_8684]) ).
tff(c_8730,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8685,c_7509,c_50]) ).
tff(c_8731,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_8713,c_196,c_200,c_8730]) ).
tff(c_8647,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7514,c_96]) ).
tff(c_8648,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_8647]) ).
tff(c_8719,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_8685,c_8671,c_72]) ).
tff(c_8720,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_8719]) ).
tff(c_8867,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8763,c_8710,c_8710,c_8763,c_8731,c_8731,c_8660,c_8648,c_8648,c_7509,c_8720,c_8720,c_618]) ).
tff(c_8868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_204,c_8867]) ).
tff(c_8870,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_8709]) ).
tff(c_8881,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8660,c_8648,c_84]) ).
tff(c_8882,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_8870,c_8881]) ).
tff(c_8984,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8882,c_7509,c_7509,c_7520,c_8882,c_7509,c_762]) ).
tff(c_8985,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_8684]) ).
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_9009,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_8985,c_8671,c_76]) ).
tff(c_9010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8665,c_196,c_198,c_204,c_9009]) ).
tff(c_9011,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_8659]) ).
tff(c_9017,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9011,c_192]) ).
tff(c_9023,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_7489,c_24]) ).
tff(c_9024,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_9023]) ).
tff(c_9028,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9024,c_130]) ).
tff(c_9095,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_7513,c_9028,c_8640,c_20]) ).
tff(c_9099,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9095,c_122]) ).
tff(c_8639,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_124]) ).
tff(c_9139,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_7525,c_9099,c_8639,c_18]) ).
tff(c_9016,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9011,c_142]) ).
tff(c_8651,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8648,c_136]) ).
tff(c_9015,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9011,c_140]) ).
tff(c_9034,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9011,c_8648,c_84]) ).
tff(c_9035,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_9034]) ).
tff(c_9036,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_9035]) ).
tff(c_9039,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9036,c_134]) ).
tff(c_9082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8651,c_7526,c_9015,c_9039,c_26]) ).
tff(c_9084,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_9035]) ).
tff(c_9166,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_7514,c_9016,c_9084,c_28]) ).
tff(c_566,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_9263,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9011,c_9139,c_9139,c_8635,c_9166,c_9166,c_7509,c_7496,c_7496,c_9011,c_765,c_765,c_566]) ).
tff(c_9264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_194,c_9263]) ).
tff(c_9265,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_9023]) ).
tff(c_9279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9017,c_9265]) ).
tff(c_9281,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_8647]) ).
tff(c_8641,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_172]) ).
tff(c_9318,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_7501,c_8641,c_6]) ).
tff(c_9322,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9318,c_176]) ).
tff(c_8642,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8635,c_180]) ).
tff(c_9392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9281,c_9322,c_7502,c_8642,c_30]) ).
tff(c_9393,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_8633]) ).
tff(c_9397,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9393,c_132]) ).
tff(c_9399,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9393,c_126]) ).
tff(c_9420,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_9397,c_7489,c_24]) ).
tff(c_9424,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9420,c_130]) ).
tff(c_9418,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_9419,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_9418]) ).
tff(c_9440,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9419,c_84]) ).
tff(c_9441,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_9440]) ).
tff(c_9442,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_9441]) ).
tff(c_9407,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9393,c_80]) ).
tff(c_9408,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_7513,c_9407]) ).
tff(c_9413,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9408,c_156]) ).
tff(c_9445,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9442,c_136]) ).
tff(c_9500,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_9413,c_7526,c_9445,c_26]) ).
tff(c_9540,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9419,c_9442,c_9500,c_96]) ).
tff(c_9541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_7514,c_202,c_9540]) ).
tff(c_9542,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_9441]) ).
tff(c_9544,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_9542]) ).
tff(c_9549,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9544,c_152]) ).
tff(c_9595,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_768,c_7524,c_9549,c_2]) ).
tff(c_630,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_9713,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9595,c_9544,c_9544,c_9419,c_7509,c_7509,c_7509,c_7496,c_7496,c_9419,c_765,c_765,c_630]) ).
tff(c_9714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_202,c_196,c_9713]) ).
tff(c_9715,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_9542]) ).
tff(c_9721,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9715,c_168]) ).
tff(c_9785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7513,c_9399,c_9424,c_9721,c_20]) ).
tff(c_9786,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_9418]) ).
tff(c_9805,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9786,c_192]) ).
tff(c_9876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_9397,c_9805,c_7489,c_24]) ).
tff(c_9877,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_7508]) ).
tff(c_10093,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_7503,c_9877]) ).
tff(c_10097,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10093,c_158]) ).
tff(c_9879,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_9882,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9879,c_150]) ).
tff(c_9902,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_7503,c_9877]) ).
tff(c_9909,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9902,c_110]) ).
tff(c_10078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9882,c_9909,c_7500,c_7487,c_10]) ).
tff(c_10080,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_10081,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_10080,c_80]) ).
tff(c_10082,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_10081]) ).
tff(c_10086,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10082,c_126]) ).
tff(c_10098,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10093,c_162]) ).
tff(c_10516,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40]) ).
tff(c_10517,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_7501,c_10516]) ).
tff(c_10518,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_10517]) ).
tff(c_10521,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10518,c_160]) ).
tff(c_10629,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_10086,c_10098,c_10521,c_20]) ).
tff(c_10100,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10093,c_110]) ).
tff(c_10551,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_10100,c_7500,c_7487,c_10]) ).
tff(c_764,plain,
( ( op(e2,op(op(e2,e2),e2)) != e0 )
| ( op(e2,e2) != e1 )
| ( op(op(e2,e2),e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_742]) ).
tff(c_10701,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10629,c_10093,c_10093,c_10551,c_10629,c_10093,c_764]) ).
tff(c_10703,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_10517]) ).
tff(c_10799,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_10100,c_7500,c_7487,c_10]) ).
tff(c_10803,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10799,c_154]) ).
tff(c_10702,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10517]) ).
tff(c_10705,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10702,c_148]) ).
tff(c_10088,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10082,c_180]) ).
tff(c_10079,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_10107,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_10079]) ).
tff(c_10112,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10107,c_122]) ).
tff(c_10202,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_10086,c_10098,c_10112,c_20]) ).
tff(c_10206,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10202,c_130]) ).
tff(c_10187,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_10188,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_10187]) ).
tff(c_10237,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10188,c_780,c_765,c_86]) ).
tff(c_10238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_10206,c_194,c_202,c_10237]) ).
tff(c_10239,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_10187]) ).
tff(c_10099,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10093,c_166]) ).
tff(c_10113,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10107,c_156]) ).
tff(c_10118,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_7490,c_10113,c_84]) ).
tff(c_10119,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_10118]) ).
tff(c_10266,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10239,c_10119,c_92]) ).
tff(c_10267,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_10099,c_10266]) ).
tff(c_10398,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_10239,c_10239,c_10267,c_780,c_10239,c_756]) ).
tff(c_10399,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_10118]) ).
tff(c_10413,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10399,c_96]) ).
tff(c_10414,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_10088,c_200,c_10413]) ).
tff(c_10419,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10414,c_154]) ).
tff(c_10513,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10419,c_10100,c_7500,c_7487,c_10]) ).
tff(c_10514,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_10079]) ).
tff(c_10714,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_10705,c_10514]) ).
tff(c_10721,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10714,c_156]) ).
tff(c_10707,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10702,c_152]) ).
tff(c_10810,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_10803,c_10721,c_10707,c_26]) ).
tff(c_10815,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10810,c_136]) ).
tff(c_10779,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_7501,c_6]) ).
tff(c_10780,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_10779]) ).
tff(c_10847,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10082,c_7496,c_10780,c_66]) ).
tff(c_10848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10815,c_200,c_194,c_196,c_10847]) ).
tff(c_10849,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_10779]) ).
tff(c_10864,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10849,c_102]) ).
tff(c_10913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_10097,c_10703,c_10864,c_4]) ).
tff(c_10914,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_10081]) ).
tff(c_10950,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_7503,c_9877]) ).
tff(c_11384,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10914,c_10950,c_10950,c_780,c_10914,c_10950,c_722]) ).
tff(c_11385,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_7495]) ).
tff(c_11389,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11385,c_174]) ).
tff(c_16623,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11389,c_22]) ).
tff(c_16624,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_16623]) ).
tff(c_16627,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16624,c_124]) ).
tff(c_11390,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11385,c_112]) ).
tff(c_14558,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11390,c_7487,c_10]) ).
tff(c_14559,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_14558]) ).
tff(c_14564,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14559,c_154]) ).
tff(c_16441,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_16442,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_16441]) ).
tff(c_16445,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16442,c_140]) ).
tff(c_11391,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11385,c_170]) ).
tff(c_14563,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14559,c_150]) ).
tff(c_11392,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11385,c_178]) ).
tff(c_13780,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_13781,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_13780]) ).
tff(c_13782,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_13781]) ).
tff(c_13788,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13782,c_192]) ).
tff(c_11399,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_11400,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_11399]) ).
tff(c_11402,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_148]) ).
tff(c_13539,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_96]) ).
tff(c_13540,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_13539]) ).
tff(c_13553,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13540,c_136]) ).
tff(c_11404,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_152]) ).
tff(c_12108,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11390,c_7487,c_10]) ).
tff(c_12109,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_12108]) ).
tff(c_12114,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12109,c_110]) ).
tff(c_11393,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11385,c_114]) ).
tff(c_12112,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12109,c_150]) ).
tff(c_11406,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_98]) ).
tff(c_12131,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_11400,c_40]) ).
tff(c_12132,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_12131]) ).
tff(c_12133,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_12132]) ).
tff(c_12138,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_102]) ).
tff(c_11411,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_11440,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11411,c_162]) ).
tff(c_11412,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11402,c_18]) ).
tff(c_11413,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_11412]) ).
tff(c_11415,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11411,c_122]) ).
tff(c_11434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11413,c_11415]) ).
tff(c_11435,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_11412]) ).
tff(c_11577,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_11435]) ).
tff(c_11441,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11411,c_126]) ).
tff(c_11447,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11411,c_72]) ).
tff(c_11448,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_11447]) ).
tff(c_11449,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_11448]) ).
tff(c_11452,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11449,c_132]) ).
tff(c_11453,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11449,c_128]) ).
tff(c_11459,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_11453,c_11435]) ).
tff(c_11464,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11459,c_124]) ).
tff(c_11574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11441,c_11389,c_11452,c_11464,c_22]) ).
tff(c_11575,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_11448]) ).
tff(c_11590,plain,
( ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11577,c_11575]) ).
tff(c_11591,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_11590]) ).
tff(c_11596,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11591,c_172]) ).
tff(c_11604,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_11400,c_40]) ).
tff(c_11605,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_11596,c_198,c_11604]) ).
tff(c_11608,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11605,c_158]) ).
tff(c_11703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11440,c_11393,c_11608,c_7486,c_12]) ).
tff(c_11704,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_11435]) ).
tff(c_11957,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11411,c_11704,c_68]) ).
tff(c_11958,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_7489,c_200,c_194,c_11957]) ).
tff(c_11963,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11958,c_172]) ).
tff(c_11733,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_11400,c_40]) ).
tff(c_11734,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_11733]) ).
tff(c_11735,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_11734]) ).
tff(c_11756,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11411,c_11704,c_68]) ).
tff(c_11757,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_7489,c_200,c_194,c_11756]) ).
tff(c_11945,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11735,c_11757,c_11757,c_11411,c_11735,c_11757,c_748]) ).
tff(c_11946,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_11734]) ).
tff(c_12104,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_11946,c_11400,c_36]) ).
tff(c_12105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_11963,c_194,c_196,c_12104]) ).
tff(c_12106,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_12119,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_12106]) ).
tff(c_12123,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12119,c_160]) ).
tff(c_12143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_11406,c_12138,c_12123,c_4]) ).
tff(c_12144,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_12132]) ).
tff(c_12149,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12144,c_158]) ).
tff(c_12271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12114,c_11393,c_12149,c_7486,c_12]) ).
tff(c_12272,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_12106]) ).
tff(c_12274,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_12272]) ).
tff(c_12299,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12274,c_80]) ).
tff(c_12300,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_12112,c_12299]) ).
tff(c_12287,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_11400,c_40]) ).
tff(c_12288,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_12287]) ).
tff(c_12289,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_12288]) ).
tff(c_12294,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12289,c_102]) ).
tff(c_12312,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_11406,c_12294,c_4]) ).
tff(c_12402,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_12114,c_11393,c_7486,c_12]) ).
tff(c_12277,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12274,c_130]) ).
tff(c_12322,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_12112,c_11402,c_18]) ).
tff(c_12323,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_12322]) ).
tff(c_12326,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12323,c_128]) ).
tff(c_12348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_12277,c_12326,c_7489,c_24]) ).
tff(c_12349,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_12322]) ).
tff(c_12376,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12300,c_12274,c_12349,c_72]) ).
tff(c_12377,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_12376]) ).
tff(c_210,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_12516,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12300,c_11400,c_11400,c_11400,c_12312,c_12312,c_12402,c_12289,c_12289,c_12402,c_12377,c_12377,c_210]) ).
tff(c_12517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_198,c_12516]) ).
tff(c_12518,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_12288]) ).
tff(c_12522,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12518,c_158]) ).
tff(c_12617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12114,c_11393,c_12522,c_7486,c_12]) ).
tff(c_12618,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_12272]) ).
tff(c_12625,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12618,c_162]) ).
tff(c_12685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12114,c_11393,c_12625,c_7486,c_12]) ).
tff(c_12686,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_12108]) ).
tff(c_12691,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12686,c_154]) ).
tff(c_13620,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_13553,c_11404,c_12691,c_26]) ).
tff(c_13556,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13540,c_180]) ).
tff(c_12698,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_11406,c_4]) ).
tff(c_12699,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_12698]) ).
tff(c_12703,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12699,c_160]) ).
tff(c_12710,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_12703,c_12106]) ).
tff(c_12711,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_12710]) ).
tff(c_12732,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12711,c_80]) ).
tff(c_12733,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_12732]) ).
tff(c_12734,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_12733]) ).
tff(c_12738,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12734,c_124]) ).
tff(c_12690,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12686,c_150]) ).
tff(c_12715,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12711,c_122]) ).
tff(c_12805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12738,c_11402,c_12690,c_12715,c_18]) ).
tff(c_12807,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_12733]) ).
tff(c_12806,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_12733]) ).
tff(c_12820,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12711,c_12806,c_72]) ).
tff(c_12821,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_12820]) ).
tff(c_12822,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_12821]) ).
tff(c_12825,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12822,c_132]) ).
tff(c_12717,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12711,c_126]) ).
tff(c_12835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12807,c_11389,c_12825,c_12717,c_22]) ).
tff(c_12836,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12821]) ).
tff(c_12843,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12836,c_180]) ).
tff(c_12704,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12699,c_164]) ).
tff(c_12863,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_12864,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_12863]) ).
tff(c_12865,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_12864]) ).
tff(c_12876,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12806,c_12686,c_11400,c_34]) ).
tff(c_12877,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_12876]) ).
tff(c_12895,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12865,c_12877,c_88]) ).
tff(c_12896,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_12843,c_12704,c_194,c_12895]) ).
tff(c_12898,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_12864]) ).
tff(c_12907,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12806,c_12686,c_11400,c_34]) ).
tff(c_12908,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_12907]) ).
tff(c_12927,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12908,c_92]) ).
tff(c_12928,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_12898,c_11392,c_196,c_12927]) ).
tff(c_12942,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12928,c_12908,c_88]) ).
tff(c_12943,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_12843,c_198,c_194,c_12942]) ).
tff(c_12702,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12699,c_158]) ).
tff(c_12723,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_11393,c_12702,c_7486,c_12]) ).
tff(c_11405,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_100]) ).
tff(c_12705,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12699,c_102]) ).
tff(c_12852,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_11405,c_12705,c_6]) ).
tff(c_462,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_13048,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12943,c_12806,c_12806,c_12723,c_12699,c_12699,c_11400,c_12852,c_12852,c_12943,c_765,c_765,c_462]) ).
tff(c_13049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_194,c_13048]) ).
tff(c_13050,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_12710]) ).
tff(c_13054,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_130]) ).
tff(c_13270,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_13271,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_13270]) ).
tff(c_13291,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_11393,c_12702,c_7486,c_12]) ).
tff(c_13295,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13291,c_166]) ).
tff(c_13064,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13050,c_80]) ).
tff(c_13065,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_13064]) ).
tff(c_13066,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_13065]) ).
tff(c_13129,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13066,c_13050,c_72]) ).
tff(c_13130,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_12690,c_13129]) ).
tff(c_13091,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_13092,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_13054,c_196,c_204,c_13091]) ).
tff(c_13071,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13066,c_180]) ).
tff(c_13076,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_13071,c_96]) ).
tff(c_13077,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_13076]) ).
tff(c_13083,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13077,c_166]) ).
tff(c_13088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13083,c_11393,c_12702,c_7486,c_12]) ).
tff(c_13089,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_13076]) ).
tff(c_13139,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13092,c_13089,c_84]) ).
tff(c_13140,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_13139]) ).
tff(c_13141,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_13140]) ).
tff(c_13145,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13141,c_176]) ).
tff(c_13152,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_12699,c_11400,c_36]) ).
tff(c_13153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_13145,c_194,c_196,c_13152]) ).
tff(c_13154,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_13140]) ).
tff(c_13267,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13130,c_13092,c_13092,c_13154,c_13130,c_13092,c_742]) ).
tff(c_13268,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_13065]) ).
tff(c_13286,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13268,c_156]) ).
tff(c_13300,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13271,c_96]) ).
tff(c_13301,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_13295,c_13286,c_13300]) ).
tff(c_13370,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13271,c_13301,c_84]) ).
tff(c_13371,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_13370]) ).
tff(c_13372,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_13371]) ).
tff(c_13373,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_13286,c_11404,c_12691,c_26]) ).
tff(c_13377,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13373,c_134]) ).
tff(c_13390,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13372,c_13377]) ).
tff(c_13391,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_13371]) ).
tff(c_13413,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13271,c_13301,c_13391,c_88]) ).
tff(c_13414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_12704,c_194,c_13413]) ).
tff(c_13415,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_13270]) ).
tff(c_13431,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13415,c_192]) ).
tff(c_13501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_13054,c_13431,c_7489,c_24]) ).
tff(c_13502,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_12698]) ).
tff(c_13515,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_13502,c_11400,c_40]) ).
tff(c_13516,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_13515]) ).
tff(c_13519,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13516,c_172]) ).
tff(c_13640,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_13556,c_11389,c_13519,c_22]) ).
tff(c_13554,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13540,c_138]) ).
tff(c_13561,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13540,c_92]) ).
tff(c_13562,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_11404,c_13561]) ).
tff(c_13563,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_13562]) ).
tff(c_13567,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13563,c_142]) ).
tff(c_13508,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13502,c_160]) ).
tff(c_13526,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_13508,c_12106]) ).
tff(c_13527,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_13526]) ).
tff(c_13534,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13527,c_168]) ).
tff(c_13509,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13502,c_164]) ).
tff(c_13608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13554,c_13567,c_13534,c_13509,c_28]) ).
tff(c_13609,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_13562]) ).
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_13541,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_11385,c_12686,c_64]) ).
tff(c_13542,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_13541]) ).
tff(c_13610,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_13562]) ).
tff(c_13652,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_13653,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_13610,c_196,c_204,c_13652]) ).
tff(c_13776,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_13620,c_13620,c_13640,c_13609,c_13609,c_13542,c_13516,c_13516,c_13640,c_13653,c_13653,c_690]) ).
tff(c_13777,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_196,c_13776]) ).
tff(c_13778,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_13539]) ).
tff(c_13793,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_13778]) ).
tff(c_13798,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13793,c_156]) ).
tff(c_13805,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13527,c_80]) ).
tff(c_13806,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_13798,c_13805]) ).
tff(c_13828,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13806,c_13527,c_76]) ).
tff(c_13829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13788,c_204,c_198,c_11402,c_13828]) ).
tff(c_13830,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_13778]) ).
tff(c_13837,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13830,c_166]) ).
tff(c_12692,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12686,c_110]) ).
tff(c_13866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13837,c_11393,c_12692,c_7486,c_12]) ).
tff(c_13868,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_13781]) ).
tff(c_13954,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_13868,c_7490,c_32]) ).
tff(c_13890,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_13778]) ).
tff(c_13923,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_11385,c_12686,c_64]) ).
tff(c_13924,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_13923]) ).
tff(c_13867,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_13781]) ).
tff(c_13879,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13867,c_13527,c_80]) ).
tff(c_13880,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_13879]) ).
tff(c_13881,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_13880]) ).
tff(c_13963,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13881,c_11385,c_13516,c_66]) ).
tff(c_13964,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_13963]) ).
tff(c_678,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_14071,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13954,c_13890,c_13890,c_13924,c_13527,c_13527,c_11400,c_13964,c_13964,c_13954,c_765,c_765,c_678]) ).
tff(c_14072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_194,c_14071]) ).
tff(c_14073,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_13778]) ).
tff(c_14089,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14073,c_92]) ).
tff(c_14090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13868,c_11392,c_204,c_11404,c_14089]) ).
tff(c_14091,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_13880]) ).
tff(c_14096,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14091,c_156]) ).
tff(c_14101,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_14096,c_13778]) ).
tff(c_14107,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14101,c_166]) ).
tff(c_14130,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_11385,c_12686,c_64]) ).
tff(c_14131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_14107,c_202,c_14130]) ).
tff(c_14132,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_13526]) ).
tff(c_14140,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14132,c_168]) ).
tff(c_14185,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_11385,c_12686,c_64]) ).
tff(c_14186,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_14185]) ).
tff(c_14146,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11389,c_13519,c_22]) ).
tff(c_14147,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_14146]) ).
tff(c_14157,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_14158,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_14157]) ).
tff(c_14151,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14147,c_124]) ).
tff(c_14175,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_14151,c_11402,c_12690,c_18]) ).
tff(c_14180,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14175,c_156]) ).
tff(c_14208,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_11404,c_12691,c_14180,c_26]) ).
tff(c_14220,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14158,c_14208,c_84]) ).
tff(c_14221,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_13509,c_200,c_14220]) ).
tff(c_14195,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14158,c_780,c_765,c_86]) ).
tff(c_14196,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_14195]) ).
tff(c_426,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_14332,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14186,c_12686,c_12686,c_14147,c_14132,c_14132,c_11400,c_14221,c_14221,c_14186,c_14196,c_14196,c_426]) ).
tff(c_14333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_204,c_14332]) ).
tff(c_14334,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_14157]) ).
tff(c_14347,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14334,c_92]) ).
tff(c_14348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_11392,c_14140,c_11404,c_14347]) ).
tff(c_14349,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_14146]) ).
tff(c_14375,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14349,c_14132,c_80]) ).
tff(c_14376,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_204,c_14375]) ).
tff(c_14381,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14376,c_156]) ).
tff(c_14408,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_14381,c_11404,c_12691,c_26]) ).
tff(c_14399,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_11393,c_12692,c_7486,c_12]) ).
tff(c_14360,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_14361,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_14360]) ).
tff(c_590,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_14538,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11400,c_14408,c_14408,c_11400,c_13502,c_13502,c_14399,c_13516,c_13516,c_14361,c_765,c_765,c_590]) ).
tff(c_14539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_196,c_14538]) ).
tff(c_14540,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_14360]) ).
tff(c_14554,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14540,c_92]) ).
tff(c_14555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_11392,c_14140,c_11404,c_14554]) ).
tff(c_14556,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_11399]) ).
tff(c_14570,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_14556]) ).
tff(c_15154,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14570,c_100]) ).
tff(c_15470,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_15154,c_6]) ).
tff(c_14571,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_11389,c_22]) ).
tff(c_14572,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_14571]) ).
tff(c_14588,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14572,c_180]) ).
tff(c_14906,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_14907,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_14906]) ).
tff(c_14915,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14907,c_192]) ).
tff(c_14575,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14570,c_148]) ).
tff(c_14593,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14563,c_14575,c_18]) ).
tff(c_14594,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_14593]) ).
tff(c_14599,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14594,c_128]) ).
tff(c_14565,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14559,c_110]) ).
tff(c_14792,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_14565,c_11393,c_7486,c_12]) ).
tff(c_14576,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14570,c_152]) ).
tff(c_14606,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_14607,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_14606]) ).
tff(c_14618,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14607,c_96]) ).
tff(c_14619,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_14588,c_14564,c_14618]) ).
tff(c_14665,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14607,c_14619,c_88]) ).
tff(c_14666,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_14665]) ).
tff(c_14667,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_14666]) ).
tff(c_14705,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14607,c_14667,c_14619,c_84]) ).
tff(c_14706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_14576,c_14705]) ).
tff(c_14707,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_14666]) ).
tff(c_14732,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14607,c_14619,c_14707,c_84]) ).
tff(c_14733,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_14732]) ).
tff(c_14586,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14572,c_126]) ).
tff(c_14600,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14594,c_122]) ).
tff(c_14630,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_14586,c_14600,c_20]) ).
tff(c_14631,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_14630]) ).
tff(c_14636,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14631,c_130]) ).
tff(c_14643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_14599,c_14636,c_7489,c_24]) ).
tff(c_14644,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_14630]) ).
tff(c_14656,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14572,c_14644,c_14594,c_72]) ).
tff(c_14657,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_14656]) ).
tff(c_714,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_14846,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14792,c_14707,c_14707,c_14607,c_14619,c_14619,c_14570,c_14733,c_14733,c_14792,c_14657,c_14657,c_714]) ).
tff(c_14847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_198,c_14846]) ).
tff(c_14848,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_14606]) ).
tff(c_14892,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14848,c_780,c_765,c_90]) ).
tff(c_14893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_14599,c_196,c_204,c_14892]) ).
tff(c_14894,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_14593]) ).
tff(c_14898,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14894,c_128]) ).
tff(c_14943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_14915,c_14898,c_7489,c_24]) ).
tff(c_14944,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_14906]) ).
tff(c_14950,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14944,c_144]) ).
tff(c_15064,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_14588,c_11392,c_14950,c_30]) ).
tff(c_15147,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15064,c_14572,c_14572,c_14894,c_15064,c_14572,c_758]) ).
tff(c_15148,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14571]) ).
tff(c_15160,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_15148]) ).
tff(c_15155,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14570,c_98]) ).
tff(c_15418,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_15155,c_4]) ).
tff(c_15419,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_15418]) ).
tff(c_15423,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15419,c_160]) ).
tff(c_15243,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_15154,c_6]) ).
tff(c_15196,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_15155,c_4]) ).
tff(c_15197,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_15196]) ).
tff(c_15201,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15197,c_160]) ).
tff(c_15184,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15160,c_72]) ).
tff(c_15185,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_15184]) ).
tff(c_15186,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_15185]) ).
tff(c_15190,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15186,c_130]) ).
tff(c_15167,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15160,c_126]) ).
tff(c_15229,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_15201,c_15190,c_15167,c_20]) ).
tff(c_15350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15243,c_15160,c_15160,c_15229,c_15243,c_15160,c_748]) ).
tff(c_15351,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_15196]) ).
tff(c_15355,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15351,c_158]) ).
tff(c_15403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14565,c_11393,c_15355,c_7486,c_12]) ).
tff(c_15404,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_15185]) ).
tff(c_15406,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_15404]) ).
tff(c_15410,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15406,c_122]) ).
tff(c_15478,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_15423,c_15410,c_15167,c_20]) ).
tff(c_15577,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15470,c_15160,c_15160,c_15478,c_15470,c_15160,c_748]) ).
tff(c_15578,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_15418]) ).
tff(c_15596,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15578,c_102]) ).
tff(c_15602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_15596,c_15154,c_6]) ).
tff(c_15604,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_15404]) ).
tff(c_15152,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14570,c_148]) ).
tff(c_15617,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_14563,c_15604,c_15152,c_18]) ).
tff(c_15621,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15617,c_128]) ).
tff(c_15405,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_15185]) ).
tff(c_15642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_15621,c_15405,c_7489,c_24]) ).
tff(c_15643,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_15148]) ).
tff(c_15650,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15643,c_172]) ).
tff(c_15785,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_15650,c_15154,c_6]) ).
tff(c_15786,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_14556]) ).
tff(c_15791,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15786,c_152]) ).
tff(c_15790,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15786,c_148]) ).
tff(c_16202,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14563,c_15790,c_18]) ).
tff(c_16203,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_16202]) ).
tff(c_16206,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16203,c_128]) ).
tff(c_15799,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_14563,c_80]) ).
tff(c_15800,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_15799]) ).
tff(c_15806,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_15800,c_180]) ).
tff(c_15792,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15786,c_100]) ).
tff(c_15811,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_15792,c_6]) ).
tff(c_15815,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15811,c_176]) ).
tff(c_15903,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_15806,c_11392,c_15815,c_30]) ).
tff(c_15821,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15800,c_72]) ).
tff(c_15822,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_15790,c_15821]) ).
tff(c_15823,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_15822]) ).
tff(c_15833,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15823,c_780,c_765,c_90]) ).
tff(c_15834,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_15833]) ).
tff(c_15864,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_15806,c_11392,c_15815,c_30]) ).
tff(c_15845,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15834,c_84]) ).
tff(c_15846,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_15815,c_15845]) ).
tff(c_15847,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_15846]) ).
tff(c_15883,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15834,c_15864,c_15847,c_96]) ).
tff(c_15884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_14564,c_15883]) ).
tff(c_15885,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_15846]) ).
tff(c_15927,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15834,c_15903,c_15885,c_96]) ).
tff(c_15928,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_15927]) ).
tff(c_15793,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15786,c_98]) ).
tff(c_15816,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15811,c_102]) ).
tff(c_15939,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_15793,c_15816,c_4]) ).
tff(c_15951,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15928,c_15939,c_50]) ).
tff(c_15952,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_7486,c_196,c_15951]) ).
tff(c_746,plain,
( ( op(e1,op(op(e1,e1),e1)) != e3 )
| ( op(e1,e1) != e0 )
| ( op(op(e1,e1),e1) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_688]) ).
tff(c_16051,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15903,c_15800,c_15800,c_15952,c_15903,c_15800,c_746]) ).
tff(c_16052,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_15822]) ).
tff(c_16058,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16052,c_162]) ).
tff(c_16189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14565,c_11393,c_16058,c_7486,c_12]) ).
tff(c_16190,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_15799]) ).
tff(c_16213,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16190,c_16203,c_72]) ).
tff(c_16214,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_16213]) ).
tff(c_16215,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_16214]) ).
tff(c_16219,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16215,c_132]) ).
tff(c_16197,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16190,c_168]) ).
tff(c_16236,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16215,c_780,c_765,c_90]) ).
tff(c_16237,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_16236]) ).
tff(c_16252,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16237,c_96]) ).
tff(c_16253,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_16197,c_14564,c_16252]) ).
tff(c_16225,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_15792,c_6]) ).
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_16290,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16253,c_11385,c_16225,c_70]) ).
tff(c_16291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_16219,c_198,c_194,c_16290]) ).
tff(c_16293,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_16214]) ).
tff(c_16344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_16206,c_16293,c_7489,c_24]) ).
tff(c_16345,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_16202]) ).
tff(c_16351,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16345,c_156]) ).
tff(c_16463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14564,c_16445,c_15791,c_16351,c_26]) ).
tff(c_16464,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_16441]) ).
tff(c_16478,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_14564,c_15791,c_16351,c_26]) ).
tff(c_16609,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_16464,c_16464,c_16478,c_780,c_16464,c_756]) ).
tff(c_16610,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_14558]) ).
tff(c_16616,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16610,c_150]) ).
tff(c_16965,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_16627,c_16616,c_18]) ).
tff(c_16966,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_16965]) ).
tff(c_16970,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16966,c_128]) ).
tff(c_16615,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16610,c_146]) ).
tff(c_16647,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_16615,c_14556]) ).
tff(c_16654,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16647,c_98]) ).
tff(c_16635,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_16636,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_16635]) ).
tff(c_16630,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16624,c_180]) ).
tff(c_16671,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16636,c_96]) ).
tff(c_16672,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_16630,c_16671]) ).
tff(c_16673,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_16672]) ).
tff(c_16677,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16673,c_166]) ).
tff(c_16704,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_780,c_11385,c_16610,c_64]) ).
tff(c_16705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_16677,c_202,c_16704]) ).
tff(c_16706,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_16672]) ).
tff(c_16659,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4]) ).
tff(c_16660,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_16659]) ).
tff(c_16618,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16610,c_110]) ).
tff(c_16739,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_11393,c_16618,c_7486,c_12]) ).
tff(c_16653,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16647,c_100]) ).
tff(c_16720,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_16653,c_6]) ).
tff(c_16642,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16636,c_192]) ).
tff(c_16729,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_16642,c_7489,c_24]) ).
tff(c_594,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_16884,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16636,c_16706,c_16706,c_16624,c_16660,c_16660,c_16739,c_16720,c_16720,c_16739,c_16729,c_16729,c_594]) ).
tff(c_16885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_204,c_16884]) ).
tff(c_16886,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_16659]) ).
tff(c_16888,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_16654,c_16886]) ).
tff(c_16895,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16888,c_102]) ).
tff(c_16936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_11391,c_16895,c_16653,c_6]) ).
tff(c_16937,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_16635]) ).
tff(c_16959,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16937,c_192]) ).
tff(c_16998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_16970,c_16959,c_7489,c_24]) ).
tff(c_16999,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_16965]) ).
tff(c_17013,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16999,c_148]) ).
tff(c_17021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17013,c_16615,c_14556]) ).
tff(c_17023,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_16623]) ).
tff(c_17550,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_17553,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17550,c_162]) ).
tff(c_17615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17553,c_11393,c_16618,c_7486,c_12]) ).
tff(c_17617,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_17526,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_16615,c_14556]) ).
tff(c_17530,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17526,c_148]) ).
tff(c_17329,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_7490,c_32]) ).
tff(c_17330,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_17329]) ).
tff(c_17336,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17330,c_140]) ).
tff(c_17260,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_16616,c_18]) ).
tff(c_17261,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_17260]) ).
tff(c_17272,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_16615,c_14556]) ).
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_17373,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17261,c_16610,c_17272,c_42]) ).
tff(c_17374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17336,c_204,c_198,c_196,c_17373]) ).
tff(c_17375,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_17329]) ).
tff(c_17417,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17261,c_16610,c_17272,c_42]) ).
tff(c_17418,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_17417]) ).
tff(c_17523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_780,c_17375,c_17375,c_17418,c_780,c_17375,c_756]) ).
tff(c_17524,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17260]) ).
tff(c_17538,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_17530,c_17524]) ).
tff(c_17618,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17538,c_80]) ).
tff(c_17619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17023,c_17617,c_204,c_17618]) ).
tff(c_17620,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_778]) ).
tff(c_17622,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_17620]) ).
tff(c_17626,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_116]) ).
tff(c_17629,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_190]) ).
tff(c_17628,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_186]) ).
tff(c_23813,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_23819,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23813,c_156]) ).
tff(c_17634,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_6]) ).
tff(c_17635,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_17634]) ).
tff(c_19449,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_100]) ).
tff(c_17642,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_102]) ).
tff(c_17643,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_100]) ).
tff(c_17636,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17626,c_10]) ).
tff(c_17637,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_17636]) ).
tff(c_17650,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17637,c_150]) ).
tff(c_17653,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17637,c_110]) ).
tff(c_17625,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_118]) ).
tff(c_17658,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_17653,c_17625,c_12]) ).
tff(c_17659,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_17658]) ).
tff(c_17662,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17659,c_158]) ).
tff(c_17670,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_17642,c_17662,c_4]) ).
tff(c_18223,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17635,c_17670,c_40]) ).
tff(c_18224,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_18223]) ).
tff(c_17652,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17637,c_112]) ).
tff(c_17627,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_120]) ).
tff(c_17665,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17659,c_114]) ).
tff(c_18073,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_17652,c_17627,c_17665,c_14]) ).
tff(c_17651,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17637,c_154]) ).
tff(c_17675,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17670,c_164]) ).
tff(c_17693,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_17675,c_84]) ).
tff(c_17694,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_17693]) ).
tff(c_17697,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17694,c_140]) ).
tff(c_17743,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17651,c_17697,c_26]) ).
tff(c_17744,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_17743]) ).
tff(c_17757,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17744,c_134]) ).
tff(c_17663,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17659,c_162]) ).
tff(c_17674,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17670,c_160]) ).
tff(c_17681,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17663,c_17674,c_20]) ).
tff(c_17682,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_17681]) ).
tff(c_17766,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17682,c_17659,c_17670,c_58]) ).
tff(c_17767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17757,c_204,c_198,c_196,c_17766]) ).
tff(c_17768,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_17743]) ).
tff(c_17775,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17768,c_152]) ).
tff(c_17780,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17635,c_17670,c_40]) ).
tff(c_17781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_17775,c_17780]) ).
tff(c_17783,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_17693]) ).
tff(c_17797,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17682,c_72]) ).
tff(c_17798,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_17797]) ).
tff(c_17799,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_17798]) ).
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_17866,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17799,c_17622,c_765,c_82]) ).
tff(c_17867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17783,c_194,c_196,c_200,c_17866]) ).
tff(c_17868,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_17798]) ).
tff(c_17870,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_17868]) ).
tff(c_17873,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17870,c_148]) ).
tff(c_17676,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17670,c_98]) ).
tff(c_17884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_17643,c_17873,c_17676,c_2]) ).
tff(c_17885,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_17868]) ).
tff(c_17886,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_17868]) ).
tff(c_17782,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17693]) ).
tff(c_17784,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_17782]) ).
tff(c_17790,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17784,c_156]) ).
tff(c_17967,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_17650,c_17886,c_17790,c_18]) ).
tff(c_17901,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_768,c_17643,c_17676,c_2]) ).
tff(c_17993,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_17783,c_32]) ).
tff(c_18059,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17885,c_17967,c_17967,c_17901,c_17670,c_17670,c_17885,c_17635,c_17635,c_17993,c_765,c_765,c_462]) ).
tff(c_18060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_194,c_194,c_18059]) ).
tff(c_18061,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_17782]) ).
tff(c_18067,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18061,c_178]) ).
tff(c_18083,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18073,c_18067]) ).
tff(c_18084,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_17681]) ).
tff(c_18089,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18084,c_122]) ).
tff(c_18099,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18084,c_72]) ).
tff(c_18100,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_18099]) ).
tff(c_18101,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_18100]) ).
tff(c_18105,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18101,c_128]) ).
tff(c_18111,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_17650,c_18089,c_18105,c_18]) ).
tff(c_17639,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_172]) ).
tff(c_18104,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18101,c_132]) ).
tff(c_18116,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18111,c_124]) ).
tff(c_18161,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_17639,c_18104,c_18116,c_22]) ).
tff(c_18136,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_17652,c_17627,c_17665,c_14]) ).
tff(c_18174,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18161,c_18136,c_17635,c_70]) ).
tff(c_18175,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_18174]) ).
tff(c_18291,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18224,c_18111,c_18111,c_18224,c_17670,c_17670,c_17659,c_18175,c_18175,c_17659,c_18101,c_18101,c_490]) ).
tff(c_18292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_198,c_18291]) ).
tff(c_18293,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_18100]) ).
tff(c_18295,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_18293]) ).
tff(c_18298,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18295,c_148]) ).
tff(c_18333,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17635,c_17670,c_40]) ).
tff(c_18334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_18298,c_18333]) ).
tff(c_18335,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_18293]) ).
tff(c_18474,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18335,c_18084,c_80]) ).
tff(c_18475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_204,c_17650,c_18474]) ).
tff(c_18476,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_17658]) ).
tff(c_18484,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18476,c_166]) ).
tff(c_18491,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_18484,c_84]) ).
tff(c_18492,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_18491]) ).
tff(c_18503,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18492,c_96]) ).
tff(c_18504,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_17651,c_18503]) ).
tff(c_18505,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_18504]) ).
tff(c_18511,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_18505,c_180]) ).
tff(c_18485,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18476,c_114]) ).
tff(c_18611,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_17652,c_17627,c_18485,c_14]) ).
tff(c_18615,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18611,c_174]) ).
tff(c_18685,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_18511,c_17639,c_18615,c_22]) ).
tff(c_18539,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_17652,c_17627,c_18485,c_14]) ).
tff(c_18543,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18539,c_174]) ).
tff(c_18495,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18492,c_140]) ).
tff(c_18527,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17637,c_34]) ).
tff(c_18528,plain,
( ( op(e3,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_18495,c_200,c_18527]) ).
tff(c_18529,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_18528]) ).
tff(c_18533,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18529,c_124]) ).
tff(c_18595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18511,c_17639,c_18543,c_18533,c_22]) ).
tff(c_18597,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_18528]) ).
tff(c_18620,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17650,c_18597,c_18]) ).
tff(c_18621,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_18620]) ).
tff(c_18626,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_18621,c_156]) ).
tff(c_18645,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18492,c_18505,c_92]) ).
tff(c_18646,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_18626,c_18645]) ).
tff(c_18596,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_18528]) ).
tff(c_460,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_18771,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18492,c_17637,c_17637,c_18685,c_18646,c_18646,c_18492,c_18505,c_18505,c_18596,c_18492,c_18492,c_460]) ).
tff(c_18772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_200,c_200,c_18771]) ).
tff(c_18773,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_18620]) ).
tff(c_18777,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18773,c_128]) ).
tff(c_18831,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18492,c_17622,c_765,c_86]) ).
tff(c_18832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_18777,c_198,c_202,c_18831]) ).
tff(c_18833,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_18504]) ).
tff(c_18837,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_18833,c_138]) ).
tff(c_17641,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_176]) ).
tff(c_18968,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_17652,c_17627,c_18485,c_14]) ).
tff(c_18972,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18968,c_178]) ).
tff(c_18497,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18492,c_144]) ).
tff(c_19013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18837,c_17641,c_18972,c_18497,c_30]) ).
tff(c_19014,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18491]) ).
tff(c_19248,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_19014]) ).
tff(c_19254,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19248,c_152]) ).
tff(c_19297,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_768,c_17643,c_19254,c_2]) ).
tff(c_19301,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19297,c_98]) ).
tff(c_18482,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18476,c_158]) ).
tff(c_19308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_17642,c_19301,c_18482,c_4]) ).
tff(c_19310,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_19014]) ).
tff(c_19039,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_17642,c_18482,c_4]) ).
tff(c_19045,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19039,c_98]) ).
tff(c_19016,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17651,c_26]) ).
tff(c_19017,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_19016]) ).
tff(c_19028,plain,
( ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19017,c_19014]) ).
tff(c_19029,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_19028]) ).
tff(c_19050,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_17650,c_80]) ).
tff(c_19051,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_19050]) ).
tff(c_19023,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19017,c_156]) ).
tff(c_19081,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_17650,c_19023,c_18]) ).
tff(c_19082,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_19081]) ).
tff(c_19194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_19029,c_19051,c_19051,c_19082,c_19029,c_19051,c_758]) ).
tff(c_19195,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_19081]) ).
tff(c_19199,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19195,c_148]) ).
tff(c_19206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_17643,c_19045,c_19199,c_2]) ).
tff(c_19207,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_19050]) ).
tff(c_19214,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19207,c_168]) ).
tff(c_19019,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19017,c_134]) ).
tff(c_19044,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19039,c_164]) ).
tff(c_19245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19214,c_19019,c_19044,c_18484,c_28]) ).
tff(c_19246,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_19016]) ).
tff(c_19321,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_19310,c_19246]) ).
tff(c_19326,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19321,c_140]) ).
tff(c_19333,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_17650,c_80]) ).
tff(c_19334,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_19333]) ).
tff(c_19339,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19334,c_126]) ).
tff(c_18483,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18476,c_162]) ).
tff(c_19355,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19339,c_18483,c_20]) ).
tff(c_19356,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_19355]) ).
tff(c_19371,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_19356,c_122]) ).
tff(c_19328,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19321,c_156]) ).
tff(c_19327,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19321,c_152]) ).
tff(c_19345,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_768,c_17643,c_19327,c_2]) ).
tff(c_19349,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19345,c_148]) ).
tff(c_19387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17650,c_19371,c_19328,c_19349,c_18]) ).
tff(c_19388,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_19355]) ).
tff(c_19393,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_130]) ).
tff(c_19403,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_86]) ).
tff(c_19404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19326,c_19393,c_198,c_202,c_19403]) ).
tff(c_19405,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_19333]) ).
tff(c_19412,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19405,c_168]) ).
tff(c_19309,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_19014]) ).
tff(c_19440,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19309,c_19321,c_96]) ).
tff(c_19441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_200,c_19412,c_202,c_19440]) ).
tff(c_19442,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17636]) ).
tff(c_22643,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_19442]) ).
tff(c_22647,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22643,c_150]) ).
tff(c_19448,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_102]) ).
tff(c_21216,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_21220,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21216,c_162]) ).
tff(c_21227,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_19442]) ).
tff(c_21231,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21227,c_150]) ).
tff(c_21234,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21227,c_110]) ).
tff(c_21857,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_21220,c_17625,c_21234,c_12]) ).
tff(c_21861,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21857,c_158]) ).
tff(c_21221,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21216,c_126]) ).
tff(c_19445,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_172]) ).
tff(c_21232,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21227,c_154]) ).
tff(c_21239,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_21232,c_26]) ).
tff(c_21240,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_21239]) ).
tff(c_19454,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_19458,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19454,c_124]) ).
tff(c_19476,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_19458,c_19445,c_22]) ).
tff(c_19477,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_19476]) ).
tff(c_19482,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19477,c_174]) ).
tff(c_19465,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_19442]) ).
tff(c_19470,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_112]) ).
tff(c_19539,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_17627,c_19482,c_19470,c_14]) ).
tff(c_19544,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19539,c_114]) ).
tff(c_19471,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_110]) ).
tff(c_19551,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_19544,c_17625,c_19471,c_12]) ).
tff(c_19555,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19551,c_166]) ).
tff(c_19483,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19477,c_180]) ).
tff(c_19504,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_19448,c_4]) ).
tff(c_19505,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_19504]) ).
tff(c_19510,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19505,c_98]) ).
tff(c_19468,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_146]) ).
tff(c_19515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_19510,c_19468,c_2]) ).
tff(c_19516,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_19504]) ).
tff(c_19521,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19516,c_164]) ).
tff(c_19460,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19454,c_156]) ).
tff(c_19528,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_19468,c_2]) ).
tff(c_19532,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19528,c_152]) ).
tff(c_19469,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19465,c_154]) ).
tff(c_19560,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_19460,c_19532,c_19469,c_26]) ).
tff(c_19571,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19560,c_84]) ).
tff(c_19572,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_19521,c_196,c_19571]) ).
tff(c_19573,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_19572]) ).
tff(c_19603,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19573,c_19560,c_88]) ).
tff(c_19604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_19483,c_19555,c_198,c_19603]) ).
tff(c_19605,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_19572]) ).
tff(c_19630,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19605,c_19560,c_88]) ).
tff(c_19631,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_19555,c_198,c_19630]) ).
tff(c_730,plain,
( ( op(e0,op(op(e0,e0),e0)) != e3 )
| ( op(e0,e0) != e2 )
| ( op(op(e0,e0),e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_640]) ).
tff(c_19717,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_19631,c_19631,c_19605,c_17622,c_19631,c_730]) ).
tff(c_19718,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_19476]) ).
tff(c_19733,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_19471,c_12]) ).
tff(c_19734,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_19733]) ).
tff(c_19782,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_19468,c_2]) ).
tff(c_19748,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19734,c_166]) ).
tff(c_19768,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19460,c_19469,c_26]) ).
tff(c_19769,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_19768]) ).
tff(c_19793,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19769,c_96]) ).
tff(c_19794,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_19748,c_204,c_19793]) ).
tff(c_19810,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19794,c_19769,c_84]) ).
tff(c_19811,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_19810]) ).
tff(c_19812,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_19811]) ).
tff(c_19749,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19734,c_114]) ).
tff(c_19825,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_19749,c_17627,c_19470,c_14]) ).
tff(c_19459,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19454,c_122]) ).
tff(c_19723,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19718,c_126]) ).
tff(c_19731,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19459,c_19723,c_20]) ).
tff(c_19732,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_19731]) ).
tff(c_19756,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19718,c_19732,c_19454,c_72]) ).
tff(c_19757,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_19756]) ).
tff(c_250,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_19949,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19734,c_19782,c_19782,c_19812,c_19734,c_19734,c_19734,c_19825,c_19825,c_19734,c_19757,c_19757,c_250]) ).
tff(c_19950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_202,c_204,c_19949]) ).
tff(c_19952,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_19811]) ).
tff(c_19963,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19757,c_17622,c_765,c_82]) ).
tff(c_19964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19952,c_194,c_196,c_200,c_19963]) ).
tff(c_19965,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_19733]) ).
tff(c_19979,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19965,c_158]) ).
tff(c_20089,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17635,c_40]) ).
tff(c_20090,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_19979,c_20089]) ).
tff(c_20094,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20090,c_152]) ).
tff(c_20100,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_19460,c_20094,c_19469,c_26]) ).
tff(c_19986,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_19460,c_96]) ).
tff(c_19987,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_19986]) ).
tff(c_19993,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19987,c_178]) ).
tff(c_19981,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19965,c_114]) ).
tff(c_20061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19993,c_17627,c_19981,c_19470,c_14]) ).
tff(c_20062,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_19986]) ).
tff(c_20155,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20062,c_19732,c_19965,c_50]) ).
tff(c_20156,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_20155]) ).
tff(c_20063,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_19986]) ).
tff(c_19447,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_176]) ).
tff(c_19725,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19718,c_180]) ).
tff(c_20126,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_20063,c_19447,c_19725,c_30]) ).
tff(c_20077,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19718,c_19732,c_19454,c_72]) ).
tff(c_20078,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_20077]) ).
tff(c_20110,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20078,c_17622,c_765,c_82]) ).
tff(c_20111,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_20110]) ).
tff(c_620,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_20242,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19718,c_20100,c_20100,c_20090,c_20156,c_20156,c_19965,c_20126,c_20126,c_20090,c_20111,c_20111,c_620]) ).
tff(c_20243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_202,c_202,c_20242]) ).
tff(c_20244,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_19731]) ).
tff(c_20248,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20244,c_130]) ).
tff(c_19722,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19718,c_132]) ).
tff(c_20342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_20248,c_19722,c_24]) ).
tff(c_20343,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_19442]) ).
tff(c_20347,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20343,c_146]) ).
tff(c_20350,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20343,c_110]) ).
tff(c_20356,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_19448,c_4]) ).
tff(c_20357,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_20356]) ).
tff(c_20361,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20357,c_160]) ).
tff(c_20382,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19454,c_72]) ).
tff(c_20383,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_20361,c_202,c_20382]) ).
tff(c_20384,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_20383]) ).
tff(c_20387,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_132]) ).
tff(c_20349,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20343,c_112]) ).
tff(c_20430,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17635,c_70]) ).
tff(c_20431,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_20387,c_20349,c_198,c_20430]) ).
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_20445,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20431,c_17635,c_78]) ).
tff(c_20446,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_19458,c_204,c_20445]) ).
tff(c_20450,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20446,c_114]) ).
tff(c_20471,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_20450,c_17625,c_20350,c_12]) ).
tff(c_20348,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20343,c_154]) ).
tff(c_20368,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_19460,c_20348,c_26]) ).
tff(c_20369,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_20368]) ).
tff(c_20416,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20369,c_84]) ).
tff(c_20417,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_20416]) ).
tff(c_20418,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_20417]) ).
tff(c_20461,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20418,c_20431,c_20369,c_96]) ).
tff(c_20462,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_20461]) ).
tff(c_20571,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20471,c_20343,c_20343,c_20418,c_20462,c_20462,c_20471,c_20431,c_20431,c_20471,c_20384,c_20384,c_458]) ).
tff(c_20572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_200,c_196,c_20571]) ).
tff(c_20574,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_20417]) ).
tff(c_20598,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20384,c_17622,c_765,c_82]) ).
tff(c_20599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20574,c_194,c_196,c_200,c_20598]) ).
tff(c_20601,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_20383]) ).
tff(c_20602,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20369,c_84]) ).
tff(c_20603,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_20602]) ).
tff(c_20604,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_20603]) ).
tff(c_20609,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20604,c_192]) ).
tff(c_20658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_20601,c_20609,c_24]) ).
tff(c_20659,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20603]) ).
tff(c_20673,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_20659]) ).
tff(c_20678,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20673,c_166]) ).
tff(c_20709,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_17625,c_20350,c_20678,c_12]) ).
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_20753,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_20709,c_20343,c_52]) ).
tff(c_20754,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_20753]) ).
tff(c_20600,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_20383]) ).
tff(c_760,plain,
( ( op(e1,op(op(e1,e1),e1)) != e0 )
| ( op(e1,e1) != e2 )
| ( op(op(e1,e1),e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_20825,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20754,c_20600,c_20600,c_19454,c_20754,c_20600,c_760]) ).
tff(c_20826,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_20659]) ).
tff(c_20372,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20369,c_134]) ).
tff(c_20362,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20357,c_164]) ).
tff(c_20827,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_20659]) ).
tff(c_20874,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_20372,c_20362,c_20827,c_28]) ).
tff(c_20903,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20826,c_20874,c_20369,c_88]) ).
tff(c_20904,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_20903]) ).
tff(c_20979,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_20904,c_20904,c_20826,c_17622,c_20904,c_730]) ).
tff(c_20980,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_20368]) ).
tff(c_20987,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20980,c_152]) ).
tff(c_21174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_20347,c_20987,c_2]) ).
tff(c_21175,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_20356]) ).
tff(c_21212,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17635,c_21175,c_40]) ).
tff(c_21213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_20347,c_21212]) ).
tff(c_21214,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_21251,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_21231,c_21214]) ).
tff(c_21252,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_21251]) ).
tff(c_21375,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21240,c_21252,c_21227,c_42]) ).
tff(c_21376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_19449,c_21375]) ).
tff(c_21377,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_21251]) ).
tff(c_21391,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21216,c_21377,c_72]) ).
tff(c_21392,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_21391]) ).
tff(c_21393,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_21392]) ).
tff(c_21396,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21393,c_132]) ).
tff(c_21493,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_21221,c_19445,c_21396,c_22]) ).
tff(c_21230,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21227,c_146]) ).
tff(c_21462,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_21230,c_2]) ).
tff(c_21415,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_19448,c_4]) ).
tff(c_21416,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_21415]) ).
tff(c_21419,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21416,c_158]) ).
tff(c_21459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21220,c_17625,c_21419,c_21234,c_12]) ).
tff(c_21460,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_21415]) ).
tff(c_21511,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_21220,c_17625,c_21234,c_12]) ).
tff(c_21243,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21240,c_136]) ).
tff(c_21497,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21493,c_180]) ).
tff(c_21502,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_21243,c_19447,c_21497,c_30]) ).
tff(c_21624,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21493,c_21377,c_21377,c_21462,c_21460,c_21460,c_21511,c_21502,c_21502,c_21511,c_21393,c_21393,c_490]) ).
tff(c_21625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_202,c_198,c_21624]) ).
tff(c_21627,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_21392]) ).
tff(c_21700,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21240,c_92]) ).
tff(c_21701,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_17629,c_19447,c_204,c_21700]) ).
tff(c_21723,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21701,c_21240,c_84]) ).
tff(c_21724,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_21723]) ).
tff(c_21725,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_21724]) ).
tff(c_21729,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21725,c_192]) ).
tff(c_21738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_21627,c_21729,c_24]) ).
tff(c_21739,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_21724]) ).
tff(c_21744,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21739,c_144]) ).
tff(c_21777,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_21744,c_32]) ).
tff(c_21842,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_21777,c_21777,c_21739,c_17622,c_21777,c_730]) ).
tff(c_21843,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_21239]) ).
tff(c_21845,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_21843]) ).
tff(c_21851,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21845,c_152]) ).
tff(c_21879,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_17635,c_40]) ).
tff(c_21880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_21861,c_21851,c_21879]) ).
tff(c_21881,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_21843]) ).
tff(c_21889,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_21881,c_156]) ).
tff(c_21974,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_21231,c_21889,c_21214]) ).
tff(c_21978,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21974,c_148]) ).
tff(c_22023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_21978,c_21230,c_2]) ).
tff(c_22024,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_19442]) ).
tff(c_22032,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22024,c_110]) ).
tff(c_22031,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22024,c_112]) ).
tff(c_22128,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_22031,c_14]) ).
tff(c_22129,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_22128]) ).
tff(c_22202,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_21220,c_17625,c_22032,c_12]) ).
tff(c_22030,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22024,c_154]) ).
tff(c_22038,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_22030,c_26]) ).
tff(c_22039,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_22038]) ).
tff(c_22139,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22039,c_84]) ).
tff(c_22140,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_22139]) ).
tff(c_22141,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_22140]) ).
tff(c_22146,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22141,c_192]) ).
tff(c_22194,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_22146,c_24]) ).
tff(c_410,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_22355,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22202,c_22024,c_22024,c_22141,c_21216,c_21216,c_22141,c_22129,c_22129,c_22202,c_22194,c_22194,c_410]) ).
tff(c_22356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_194,c_196,c_22355]) ).
tff(c_22358,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_22140]) ).
tff(c_22418,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_82]) ).
tff(c_22419,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_22358,c_196,c_200,c_22418]) ).
tff(c_22029,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22024,c_150]) ).
tff(c_22050,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_22029,c_21214]) ).
tff(c_22051,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_22050]) ).
tff(c_22055,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22051,c_128]) ).
tff(c_22090,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_22055,c_24]) ).
tff(c_22094,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22090,c_132]) ).
tff(c_22056,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22051,c_124]) ).
tff(c_22115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21221,c_19445,c_22094,c_22056,c_22]) ).
tff(c_22116,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_22050]) ).
tff(c_22478,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22419,c_21216,c_22116,c_72]) ).
tff(c_22479,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_22478]) ).
tff(c_718,plain,
( ( op(e1,op(op(e1,e1),e1)) != e3 )
| ( op(e1,e1) != e2 )
| ( op(op(e1,e1),e1) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_604]) ).
tff(c_22559,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22129,c_22479,c_22479,c_22419,c_22129,c_22479,c_718]) ).
tff(c_22560,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_22128]) ).
tff(c_22566,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22560,c_114]) ).
tff(c_22640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21220,c_17625,c_22032,c_22566,c_12]) ).
tff(c_22641,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_22657,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_22641]) ).
tff(c_22661,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22657,c_160]) ).
tff(c_22863,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_19448,c_22661,c_4]) ).
tff(c_22869,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22863,c_98]) ).
tff(c_22646,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22643,c_146]) ).
tff(c_22916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_22869,c_22646,c_2]) ).
tff(c_22917,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_22641]) ).
tff(c_22930,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_22917]) ).
tff(c_22934,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22930,c_122]) ).
tff(c_22942,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_22647,c_22934,c_21214]) ).
tff(c_22946,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22942,c_148]) ).
tff(c_23009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_22946,c_22646,c_2]) ).
tff(c_23010,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_22917]) ).
tff(c_23015,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23010,c_122]) ).
tff(c_23024,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_22647,c_23015,c_21214]) ).
tff(c_23030,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23024,c_156]) ).
tff(c_23014,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23010,c_130]) ).
tff(c_22648,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22643,c_154]) ).
tff(c_23035,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_22648,c_26]) ).
tff(c_23036,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_23035]) ).
tff(c_23060,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23036,c_84]) ).
tff(c_23061,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_23060]) ).
tff(c_23062,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_23061]) ).
tff(c_23067,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23062,c_192]) ).
tff(c_23097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_23014,c_23067,c_24]) ).
tff(c_23099,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_23061]) ).
tff(c_23199,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_23099,c_32]) ).
tff(c_22642,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_21215,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_22919,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_22642,c_21215,c_80]) ).
tff(c_22925,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22919,c_180]) ).
tff(c_23017,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23010,c_162]) ).
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_23122,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_22643,c_56]) ).
tff(c_23123,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_23017,c_194,c_23122]) ).
tff(c_23127,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23123,c_178]) ).
tff(c_23098,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_23061]) ).
tff(c_23100,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_23098]) ).
tff(c_23105,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23100,c_138]) ).
tff(c_23172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22925,c_19447,c_23127,c_23105,c_30]) ).
tff(c_23173,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_23098]) ).
tff(c_23321,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_23199,c_23199,c_23173,c_17622,c_23199,c_730]) ).
tff(c_23322,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_23035]) ).
tff(c_23324,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_23030,c_23322]) ).
tff(c_23331,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23324,c_152]) ).
tff(c_23418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_23331,c_22646,c_2]) ).
tff(c_23419,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_19442]) ).
tff(c_23423,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23419,c_146]) ).
tff(c_23432,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_19448,c_4]) ).
tff(c_23433,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_23432]) ).
tff(c_23439,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23433,c_98]) ).
tff(c_23424,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23419,c_150]) ).
tff(c_23437,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23433,c_160]) ).
tff(c_23456,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_23437,c_22641]) ).
tff(c_23457,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_23456]) ).
tff(c_23460,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23457,c_130]) ).
tff(c_23654,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_23460,c_24]) ).
tff(c_23658,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23654,c_192]) ).
tff(c_23445,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_22642,c_21215,c_80]) ).
tff(c_23450,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23445,c_174]) ).
tff(c_23426,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23419,c_112]) ).
tff(c_23509,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_23450,c_17627,c_23426,c_14]) ).
tff(c_23513,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23509,c_178]) ).
tff(c_23463,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23457,c_168]) ).
tff(c_23461,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23457,c_122]) ).
tff(c_23470,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_23461,c_23424,c_21214]) ).
tff(c_23476,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23470,c_156]) ).
tff(c_23425,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23419,c_154]) ).
tff(c_23481,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_23476,c_23425,c_26]) ).
tff(c_23482,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_23481]) ).
tff(c_23522,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23482,c_84]) ).
tff(c_23523,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_23513,c_23463,c_200,c_23522]) ).
tff(c_23537,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23523,c_23482,c_92]) ).
tff(c_23538,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_19447,c_204,c_23537]) ).
tff(c_23436,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23433,c_158]) ).
tff(c_23462,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23457,c_162]) ).
tff(c_23497,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_17625,c_23436,c_23462,c_12]) ).
tff(c_734,plain,
( ( op(e2,op(op(e2,e2),e2)) != e3 )
| ( op(e2,e2) != e0 )
| ( op(op(e2,e2),e2) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_652]) ).
tff(c_23625,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23538,c_23497,c_23497,c_23509,c_23538,c_23497,c_734]) ).
tff(c_23626,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_23481]) ).
tff(c_23632,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23626,c_140]) ).
tff(c_23663,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_23658,c_23632,c_32]) ).
tff(c_23664,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_23456]) ).
tff(c_23681,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23664,c_122]) ).
tff(c_23689,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_23424,c_23681,c_21214]) ).
tff(c_23693,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23689,c_148]) ).
tff(c_23701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_23439,c_23693,c_2]) ).
tff(c_23702,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_23432]) ).
tff(c_23710,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23702,c_98]) ).
tff(c_23798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_19449,c_23423,c_23710,c_2]) ).
tff(c_23799,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_17634]) ).
tff(c_23801,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_23799]) ).
tff(c_23806,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_176]) ).
tff(c_24694,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23813,c_84]) ).
tff(c_24695,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_23806,c_200,c_24694]) ).
tff(c_24696,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_24695]) ).
tff(c_23805,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_170]) ).
tff(c_24263,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_23805,c_14]) ).
tff(c_24264,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_24263]) ).
tff(c_24267,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24264,c_174]) ).
tff(c_24527,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24264,c_23801,c_74]) ).
tff(c_24528,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_24527]) ).
tff(c_24529,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_24528]) ).
tff(c_24533,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24529,c_180]) ).
tff(c_23804,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_172]) ).
tff(c_24551,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_24267,c_24533,c_23804,c_22]) ).
tff(c_24269,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24264,c_114]) ).
tff(c_23808,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_100]) ).
tff(c_24285,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_23808,c_2]) ).
tff(c_24286,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_24285]) ).
tff(c_24378,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_24286,c_40]) ).
tff(c_24379,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_24378]) ).
tff(c_24383,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24379,c_158]) ).
tff(c_23850,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23813,c_84]) ).
tff(c_23851,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_23806,c_200,c_23850]) ).
tff(c_23852,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_23851]) ).
tff(c_23824,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23813,c_34]) ).
tff(c_23825,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_23808,c_23824]) ).
tff(c_23826,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_23825]) ).
tff(c_23924,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23826,c_80]) ).
tff(c_23925,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_23924]) ).
tff(c_23926,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_23925]) ).
tff(c_23931,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23926,c_174]) ).
tff(c_23818,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23813,c_154]) ).
tff(c_23830,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23826,c_150]) ).
tff(c_23839,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_23818,c_17626,c_23830,c_10]) ).
tff(c_23844,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23839,c_112]) ).
tff(c_23962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23931,c_17627,c_23844,c_23805,c_14]) ).
tff(c_23964,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_23925]) ).
tff(c_23862,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_74]) ).
tff(c_23863,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_196,c_23862]) ).
tff(c_23864,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_23863]) ).
tff(c_23869,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23864,c_180]) ).
tff(c_23829,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23826,c_128]) ).
tff(c_23999,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_23829,c_24]) ).
tff(c_24003,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23999,c_132]) ).
tff(c_24021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23964,c_23869,c_24003,c_23804,c_22]) ).
tff(c_24022,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_23863]) ).
tff(c_24023,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_23863]) ).
tff(c_24070,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23852,c_23813,c_92]) ).
tff(c_24071,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_24023,c_204,c_24070]) ).
tff(c_24082,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_17627,c_23844,c_23805,c_14]) ).
tff(c_24094,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_24082,c_23839,c_52]) ).
tff(c_24095,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_24094]) ).
tff(c_24121,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23852,c_24071,c_23813,c_88]) ).
tff(c_24122,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_24121]) ).
tff(c_24057,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_23829,c_24]) ).
tff(c_24220,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23852,c_23813,c_23813,c_24022,c_24071,c_24071,c_24095,c_24122,c_24122,c_24095,c_24057,c_24057,c_714]) ).
tff(c_24221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_200,c_196,c_24220]) ).
tff(c_24223,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_23851]) ).
tff(c_24245,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_82]) ).
tff(c_24246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24223,c_23829,c_196,c_200,c_24245]) ).
tff(c_24247,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_23825]) ).
tff(c_24254,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24247,c_110]) ).
tff(c_24407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24269,c_17625,c_24383,c_24254,c_12]) ).
tff(c_24408,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_24285]) ).
tff(c_24424,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24408,c_148]) ).
tff(c_24248,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_23825]) ).
tff(c_24445,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_23819,c_24424,c_24248,c_18]) ).
tff(c_24450,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24445,c_124]) ).
tff(c_24476,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_24267,c_24450,c_23804,c_22]) ).
tff(c_24480,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24476,c_132]) ).
tff(c_24410,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_82]) ).
tff(c_24411,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_24410]) ).
tff(c_24412,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_24411]) ).
tff(c_24417,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24412,c_192]) ).
tff(c_24495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_24480,c_24417,c_24]) ).
tff(c_24496,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_24411]) ).
tff(c_24650,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_24264,c_24551,c_24551,c_24496,c_24264,c_24551,c_718]) ).
tff(c_24651,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_24528]) ).
tff(c_24655,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24651,c_124]) ).
tff(c_24500,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24408,c_148]) ).
tff(c_24681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23819,c_24655,c_24500,c_24248,c_18]) ).
tff(c_24682,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_24263]) ).
tff(c_24686,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24682,c_174]) ).
tff(c_24706,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24686,c_23804,c_22]) ).
tff(c_24707,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_24706]) ).
tff(c_23814,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_23813,c_134]) ).
tff(c_24731,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24707,c_24682,c_23801,c_74]) ).
tff(c_24732,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_24731]) ).
tff(c_24736,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24732,c_138]) ).
tff(c_24699,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24696,c_142]) ).
tff(c_24752,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_23814,c_24736,c_24699,c_28]) ).
tff(c_24758,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24752,c_164]) ).
tff(c_23807,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_102]) ).
tff(c_24811,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_24758,c_23807,c_4]) ).
tff(c_24785,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_40]) ).
tff(c_24786,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_24758,c_24785]) ).
tff(c_612,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_24903,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24696,c_23813,c_23813,c_24707,c_24811,c_24811,c_24696,c_24707,c_24707,c_24786,c_24696,c_24696,c_612]) ).
tff(c_24904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_202,c_24903]) ).
tff(c_24905,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_24706]) ).
tff(c_24910,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_24905,c_124]) ).
tff(c_24940,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_23819,c_24910,c_24248,c_18]) ).
tff(c_24945,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24940,c_128]) ).
tff(c_24701,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24696,c_192]) ).
tff(c_24964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_24945,c_24701,c_24]) ).
tff(c_24966,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_24695]) ).
tff(c_25286,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_24966,c_32]) ).
tff(c_24977,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_23819,c_80]) ).
tff(c_24978,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_24977]) ).
tff(c_24688,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24682,c_114]) ).
tff(c_25087,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_17625,c_24688,c_24254,c_12]) ).
tff(c_24687,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24682,c_178]) ).
tff(c_24965,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_24695]) ).
tff(c_25013,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24965,c_23813,c_88]) ).
tff(c_25014,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_24687,c_194,c_202,c_25013]) ).
tff(c_25019,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25014,c_192]) ).
tff(c_24983,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24978,c_126]) ).
tff(c_24971,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24965,c_168]) ).
tff(c_25001,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_24983,c_24971,c_20]) ).
tff(c_25002,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_25001]) ).
tff(c_25051,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24978,c_25002,c_72]) ).
tff(c_25052,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_25019,c_202,c_198,c_25051]) ).
tff(c_24989,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_23808,c_2]) ).
tff(c_24990,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_24989]) ).
tff(c_25024,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_24990,c_40]) ).
tff(c_25025,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_25024]) ).
tff(c_470,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_25173,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25087,c_25052,c_25052,c_25087,c_25025,c_25025,c_25087,c_24682,c_24682,c_25014,c_765,c_765,c_470]) ).
tff(c_25174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_194,c_25173]) ).
tff(c_25175,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_25001]) ).
tff(c_25181,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25175,c_160]) ).
tff(c_25208,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_24990,c_40]) ).
tff(c_25209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_25181,c_198,c_25208]) ).
tff(c_25210,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_24989]) ).
tff(c_25215,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25210,c_98]) ).
tff(c_25275,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_25215,c_23807,c_4]) ).
tff(c_25421,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25286,c_23813,c_23813,c_24978,c_25275,c_25275,c_25210,c_23801,c_23801,c_25286,c_765,c_765,c_590]) ).
tff(c_25422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_194,c_194,c_25421]) ).
tff(c_25423,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_24977]) ).
tff(c_25492,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25423,c_162]) ).
tff(c_25576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25492,c_17625,c_24688,c_24254,c_12]) ).
tff(c_25577,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_25579,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_25577]) ).
tff(c_27025,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_42]) ).
tff(c_27026,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_17626,c_27025]) ).
tff(c_27027,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_27026]) ).
tff(c_27029,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27027,c_148]) ).
tff(c_25591,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_23807,c_4]) ).
tff(c_25592,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_25591]) ).
tff(c_25615,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_25592,c_40]) ).
tff(c_25616,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_25615]) ).
tff(c_25620,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25616,c_146]) ).
tff(c_25585,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_154]) ).
tff(c_25946,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_17626,c_25620,c_25585,c_10]) ).
tff(c_25950,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25946,c_110]) ).
tff(c_25631,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_23805,c_14]) ).
tff(c_25632,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_25631]) ).
tff(c_25635,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25632,c_174]) ).
tff(c_25643,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_24]) ).
tff(c_25644,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_25643]) ).
tff(c_25649,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25644,c_192]) ).
tff(c_25583,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_140]) ).
tff(c_25697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_25649,c_25583,c_32]) ).
tff(c_25698,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_25643]) ).
tff(c_25596,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25592,c_160]) ).
tff(c_25598,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25592,c_98]) ).
tff(c_25603,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_42]) ).
tff(c_25604,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_17626,c_25598,c_25603]) ).
tff(c_25609,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25604,c_124]) ).
tff(c_25700,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25604,c_72]) ).
tff(c_25701,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_25700]) ).
tff(c_25702,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_25701]) ).
tff(c_25712,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_25702,c_25698]) ).
tff(c_25713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_25712]) ).
tff(c_25714,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_25701]) ).
tff(c_25737,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_25714]) ).
tff(c_25741,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25737,c_126]) ).
tff(c_25749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25635,c_25609,c_25741,c_23804,c_22]) ).
tff(c_25751,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_25714]) ).
tff(c_25731,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25698,c_130]) ).
tff(c_25762,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_25596,c_25751,c_25731,c_20]) ).
tff(c_25767,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25762,c_168]) ).
tff(c_25778,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25698,c_17622,c_765,c_86]) ).
tff(c_25779,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_25778]) ).
tff(c_25637,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25632,c_178]) ).
tff(c_25716,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_25637,c_23806,c_30]) ).
tff(c_25717,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_25716]) ).
tff(c_25804,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25779,c_25717,c_25579,c_96]) ).
tff(c_25805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_25767,c_200,c_25804]) ).
tff(c_25806,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_25716]) ).
tff(c_25825,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25806,c_180]) ).
tff(c_25830,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_25825,c_25714]) ).
tff(c_25840,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25698,c_25830,c_25604,c_80]) ).
tff(c_25841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_25635,c_202,c_204,c_25840]) ).
tff(c_25842,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_25631]) ).
tff(c_25849,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25842,c_114]) ).
tff(c_25581,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_134]) ).
tff(c_25910,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25592,c_50]) ).
tff(c_25911,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_25581,c_196,c_25910]) ).
tff(c_25912,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_25911]) ).
tff(c_25915,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25912,c_162]) ).
tff(c_25975,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25950,c_17625,c_25849,c_25915,c_12]) ).
tff(c_25976,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_25911]) ).
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_25999,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25976,c_25592,c_62]) ).
tff(c_26000,plain,
( ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_25999]) ).
tff(c_26001,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_26000]) ).
tff(c_26005,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26001,c_168]) ).
tff(c_26010,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25604,c_80]) ).
tff(c_26011,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_26005,c_204,c_26010]) ).
tff(c_25987,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_86]) ).
tff(c_25988,plain,
( ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_25987]) ).
tff(c_25989,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_25988]) ).
tff(c_26147,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25616,c_25579,c_25579,c_26011,c_25592,c_25592,c_25616,c_23801,c_23801,c_25989,c_765,c_765,c_590]) ).
tff(c_26148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_194,c_194,c_26147]) ).
tff(c_26150,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_26000]) ).
tff(c_25848,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25842,c_178]) ).
tff(c_25855,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_25848,c_23806,c_30]) ).
tff(c_25856,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_25855]) ).
tff(c_25894,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25856,c_25842,c_23801,c_74]) ).
tff(c_25895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_25609,c_198,c_196,c_25894]) ).
tff(c_25896,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_25855]) ).
tff(c_26181,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25989,c_25896,c_25579,c_96]) ).
tff(c_26182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_26150,c_200,c_26181]) ).
tff(c_26184,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_25988]) ).
tff(c_26212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_26184,c_25583,c_32]) ).
tff(c_26213,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_25591]) ).
tff(c_27044,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26213,c_98]) ).
tff(c_27114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_27029,c_27044,c_23808,c_2]) ).
tff(c_27115,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_27026]) ).
tff(c_26215,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_23805,c_14]) ).
tff(c_26216,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_26215]) ).
tff(c_26221,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26216,c_178]) ).
tff(c_26222,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26216,c_114]) ).
tff(c_26237,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_26222,c_17625,c_12]) ).
tff(c_26238,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_26237]) ).
tff(c_26229,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26213,c_158]) ).
tff(c_26249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26238,c_26229]) ).
tff(c_26250,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_26237]) ).
tff(c_26439,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_26216,c_26250,c_56]) ).
tff(c_26440,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_26439]) ).
tff(c_26445,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26440,c_150]) ).
tff(c_26253,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_24]) ).
tff(c_26254,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_26253]) ).
tff(c_26394,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26254,c_17622,c_765,c_82]) ).
tff(c_26395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25583,c_194,c_196,c_200,c_26394]) ).
tff(c_26396,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_26253]) ).
tff(c_26219,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26216,c_174]) ).
tff(c_26423,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26396,c_80]) ).
tff(c_26424,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_26219,c_26423]) ).
tff(c_26425,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_26424]) ).
tff(c_26450,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26396,c_26425,c_72]) ).
tff(c_26451,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_26445,c_26450]) ).
tff(c_26455,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26451,c_180]) ).
tff(c_26469,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_26221,c_26455,c_23806,c_30]) ).
tff(c_26473,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26469,c_138]) ).
tff(c_26481,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26425,c_26250,c_26213,c_58]) ).
tff(c_26482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26473,c_204,c_196,c_198,c_26481]) ).
tff(c_26483,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_26424]) ).
tff(c_26230,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26213,c_160]) ).
tff(c_26485,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26396,c_72]) ).
tff(c_26486,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_26230,c_26485]) ).
tff(c_26487,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_26486]) ).
tff(c_26644,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_26216,c_26487,c_26487,c_26396,c_26216,c_26487,c_718]) ).
tff(c_26645,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_26486]) ).
tff(c_26667,plain,
e2 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_26483,c_26645]) ).
tff(c_26668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_26667]) ).
tff(c_26669,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_26215]) ).
tff(c_26682,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_26683,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_26682]) ).
tff(c_26687,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26683,c_126]) ).
tff(c_26750,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_42]) ).
tff(c_26751,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_17626,c_26750]) ).
tff(c_26752,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_26751]) ).
tff(c_26758,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26752,c_122]) ).
tff(c_26698,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26213,c_160]) ).
tff(c_26677,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26669,c_114]) ).
tff(c_26705,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_26677,c_12]) ).
tff(c_26706,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_26705]) ).
tff(c_26711,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26706,c_110]) ).
tff(c_26675,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26669,c_112]) ).
tff(c_26747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26711,c_17626,c_26675,c_25585,c_10]) ).
tff(c_26748,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_26705]) ).
tff(c_26766,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26748,c_162]) ).
tff(c_26795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26687,c_26758,c_26698,c_26766,c_20]) ).
tff(c_26796,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_26751]) ).
tff(c_26802,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26748,c_162]) ).
tff(c_26910,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_26687,c_26698,c_26802,c_20]) ).
tff(c_26686,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26683,c_124]) ).
tff(c_26797,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_26751]) ).
tff(c_26819,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26683,c_72]) ).
tff(c_26820,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_26698,c_26819]) ).
tff(c_26821,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_26820]) ).
tff(c_26824,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26821,c_128]) ).
tff(c_25586,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_156]) ).
tff(c_26846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26686,c_26797,c_26824,c_25586,c_18]) ).
tff(c_26848,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_26820]) ).
tff(c_26876,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_26848,c_24]) ).
tff(c_26895,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26876,c_17622,c_765,c_86]) ).
tff(c_26896,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_26895]) ).
tff(c_662,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_27021,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26796,c_25579,c_25579,c_26683,c_26910,c_26910,c_26748,c_26669,c_26669,c_26896,c_765,c_765,c_662]) ).
tff(c_27022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_194,c_194,c_27021]) ).
tff(c_27023,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_26682]) ).
tff(c_27139,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_27023]) ).
tff(c_27143,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27139,c_150]) ).
tff(c_27225,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_26669,c_64]) ).
tff(c_27226,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_27143,c_27225]) ).
tff(c_27237,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_26669,c_27226,c_52]) ).
tff(c_27238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_25585,c_27237]) ).
tff(c_27239,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_27023]) ).
tff(c_27248,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27239,c_168]) ).
tff(c_27292,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25579,c_96]) ).
tff(c_27293,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_27248,c_200,c_27292]) ).
tff(c_27329,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27293,c_26669,c_23801,c_74]) ).
tff(c_27330,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_27329]) ).
tff(c_27246,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27239,c_162]) ).
tff(c_27253,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_27246,c_17625,c_26677,c_12]) ).
tff(c_27307,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27239,c_27253,c_26213,c_58]) ).
tff(c_27308,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_27307]) ).
tff(c_688,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_27446,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27115,c_25579,c_25579,c_27330,c_27308,c_27308,c_27115,c_23801,c_23801,c_27330,c_17622,c_17622,c_688]) ).
tff(c_27447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_198,c_27446]) ).
tff(c_27448,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_25577]) ).
tff(c_27450,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_27448]) ).
tff(c_27456,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27450,c_136]) ).
tff(c_27621,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23801,c_74]) ).
tff(c_27622,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_27456,c_17627,c_196,c_27621]) ).
tff(c_27458,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27450,c_152]) ).
tff(c_27881,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_44]) ).
tff(c_27882,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_27458,c_27881]) ).
tff(c_27914,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_27882,c_40]) ).
tff(c_27915,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_27914]) ).
tff(c_592,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_28029,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27622,c_27450,c_27450,c_27622,c_27882,c_27882,c_27915,c_23801,c_23801,c_27622,c_17622,c_17622,c_592]) ).
tff(c_28030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_194,c_198,c_28029]) ).
tff(c_28031,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_27448]) ).
tff(c_28038,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_152]) ).
tff(c_28045,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_28046,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_28045]) ).
tff(c_28052,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28046,c_180]) ).
tff(c_28146,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_96]) ).
tff(c_28147,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_28052,c_202,c_28146]) ).
tff(c_28151,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28147,c_166]) ).
tff(c_28057,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_40]) ).
tff(c_28058,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_28038,c_28057]) ).
tff(c_28061,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28058,c_158]) ).
tff(c_28178,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_28151,c_17625,c_28061,c_12]) ).
tff(c_28168,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28147,c_28031,c_84]) ).
tff(c_28169,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_23806,c_200,c_194,c_28168]) ).
tff(c_704,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_28329,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28178,c_28031,c_28031,c_28169,c_28147,c_28147,c_28169,c_28046,c_28046,c_28046,c_17622,c_17622,c_704]) ).
tff(c_28330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_202,c_28329]) ).
tff(c_28332,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_28045]) ).
tff(c_28374,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_23805,c_14]) ).
tff(c_28375,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_28374]) ).
tff(c_28381,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28375,c_114]) ).
tff(c_28334,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_23801,c_40]) ).
tff(c_28335,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_28334]) ).
tff(c_28336,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_28335]) ).
tff(c_28339,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28336,c_158]) ).
tff(c_28331,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_28045]) ).
tff(c_28347,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_28331]) ).
tff(c_28353,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28347,c_122]) ).
tff(c_28340,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28336,c_160]) ).
tff(c_28358,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28340,c_20]) ).
tff(c_28359,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_28358]) ).
tff(c_28360,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28353,c_28359]) ).
tff(c_28361,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_28358]) ).
tff(c_28363,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_28361]) ).
tff(c_28367,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28363,c_162]) ).
tff(c_28416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28381,c_17625,c_28339,c_28367,c_12]) ).
tff(c_28417,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_28374]) ).
tff(c_28422,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28417,c_174]) ).
tff(c_28470,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_28332,c_28422,c_23804,c_22]) ).
tff(c_28491,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_28347,c_42]) ).
tff(c_28492,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_17626,c_28491]) ).
tff(c_28369,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28363,c_168]) ).
tff(c_28434,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_84]) ).
tff(c_28435,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_23806,c_28369,c_194,c_28434]) ).
tff(c_28460,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_17625,c_28339,c_28367,c_12]) ).
tff(c_28450,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28435,c_17622,c_765,c_86]) ).
tff(c_28451,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_28450]) ).
tff(c_242,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_28647,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28470,c_28492,c_28492,c_28435,c_28460,c_28460,c_28492,c_23801,c_23801,c_28460,c_28451,c_28451,c_242]) ).
tff(c_28648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_196,c_204,c_28647]) ).
tff(c_28649,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_28361]) ).
tff(c_28655,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28649,c_126]) ).
tff(c_28672,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_23805,c_14]) ).
tff(c_28673,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_28672]) ).
tff(c_28679,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28673,c_114]) ).
tff(c_28734,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_28679,c_17625,c_28339,c_12]) ).
tff(c_28738,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28734,c_110]) ).
tff(c_28662,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_28347,c_42]) ).
tff(c_28663,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_17626,c_28662]) ).
tff(c_28756,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_28347,c_28663,c_34]) ).
tff(c_28757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_28738,c_196,c_28756]) ).
tff(c_28758,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_28672]) ).
tff(c_28874,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28758,c_23801,c_74]) ).
tff(c_28875,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_28655,c_198,c_196,c_28874]) ).
tff(c_28891,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28875,c_28758,c_23801,c_78]) ).
tff(c_28892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_28332,c_202,c_200,c_28891]) ).
tff(c_28893,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_28331]) ).
tff(c_28898,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28893,c_162]) ).
tff(c_28998,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_84]) ).
tff(c_28999,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_23806,c_194,c_28998]) ).
tff(c_29000,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_28999]) ).
tff(c_28039,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_154]) ).
tff(c_29022,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_28898,c_17625,c_28339,c_12]) ).
tff(c_29027,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29022,c_110]) ).
tff(c_29136,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_17626,c_28039,c_29027,c_10]) ).
tff(c_28905,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_23805,c_14]) ).
tff(c_28906,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_28905]) ).
tff(c_28928,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_84]) ).
tff(c_28929,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_23806,c_194,c_28928]) ).
tff(c_28930,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_28929]) ).
tff(c_28934,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28930,c_142]) ).
tff(c_28956,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28893,c_28336,c_50]) ).
tff(c_28957,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_28934,c_200,c_194,c_28956]) ).
tff(c_28971,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_28906,c_28957,c_56]) ).
tff(c_28972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_28039,c_28971]) ).
tff(c_28973,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_28929]) ).
tff(c_28979,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28973,c_166]) ).
tff(c_28984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28898,c_17625,c_28339,c_28979,c_12]) ).
tff(c_28985,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_28905]) ).
tff(c_29082,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28985,c_23801,c_74]) ).
tff(c_29083,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_29082]) ).
tff(c_29084,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_29083]) ).
tff(c_29087,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29084,c_138]) ).
tff(c_29099,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28893,c_29022,c_28336,c_58]) ).
tff(c_29100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29087,c_204,c_196,c_198,c_29099]) ).
tff(c_29101,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_29083]) ).
tff(c_29171,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28893,c_29022,c_28336,c_58]) ).
tff(c_29172,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_29171]) ).
tff(c_29102,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_29083]) ).
tff(c_28036,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28031,c_136]) ).
tff(c_29148,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_29102,c_28036,c_23806,c_30]) ).
tff(c_456,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_29264,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29000,c_29136,c_29136,c_29101,c_29172,c_29172,c_29000,c_29148,c_29148,c_29101,c_17622,c_17622,c_456]) ).
tff(c_29265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_198,c_29264]) ).
tff(c_29266,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_28999]) ).
tff(c_29272,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29266,c_166]) ).
tff(c_29300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28898,c_17625,c_28339,c_29272,c_12]) ).
tff(c_29301,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_28335]) ).
tff(c_29303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28038,c_29301]) ).
tff(c_29304,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_23799]) ).
tff(c_29311,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_102]) ).
tff(c_32101,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_32102,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_198,c_32101]) ).
tff(c_32103,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_32102]) ).
tff(c_32106,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32103,c_138]) ).
tff(c_29308,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_172]) ).
tff(c_29359,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_29360,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_198,c_29359]) ).
tff(c_29361,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_29360]) ).
tff(c_29369,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29361,c_180]) ).
tff(c_29320,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_29326,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29320,c_156]) ).
tff(c_29331,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_29332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29326,c_29331]) ).
tff(c_29333,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_29335,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_29333]) ).
tff(c_29342,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29335,c_124]) ).
tff(c_29309,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_170]) ).
tff(c_29325,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29320,c_154]) ).
tff(c_29341,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29335,c_150]) ).
tff(c_29348,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_29325,c_17626,c_29341,c_10]) ).
tff(c_29354,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29348,c_110]) ).
tff(c_29389,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_29354,c_12]) ).
tff(c_29390,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_29389]) ).
tff(c_29459,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29390,c_162]) ).
tff(c_29376,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29335,c_72]) ).
tff(c_29377,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_29308,c_194,c_29376]) ).
tff(c_29378,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_29377]) ).
tff(c_29487,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29378,c_29335,c_80]) ).
tff(c_29488,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_29459,c_200,c_29487]) ).
tff(c_29391,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_44]) ).
tff(c_29392,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_29391]) ).
tff(c_29393,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_29392]) ).
tff(c_29408,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29393,c_98]) ).
tff(c_29312,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_100]) ).
tff(c_29339,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29335,c_148]) ).
tff(c_29453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_29408,c_29312,c_29339,c_2]) ).
tff(c_29454,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_29392]) ).
tff(c_29384,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29378,c_192]) ).
tff(c_29478,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_29384,c_32]) ).
tff(c_29627,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29488,c_29454,c_29454,c_29478,c_29390,c_29390,c_29390,c_29304,c_29304,c_29390,c_29378,c_29378,c_242]) ).
tff(c_29628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_200,c_204,c_29627]) ).
tff(c_29629,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_29389]) ).
tff(c_29637,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29629,c_114]) ).
tff(c_29665,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_17627,c_29309,c_29637,c_14]) ).
tff(c_29705,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29361,c_29665,c_29304,c_66]) ).
tff(c_29706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_29342,c_200,c_194,c_29705]) ).
tff(c_29707,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_29377]) ).
tff(c_29743,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29707,c_29335,c_76]) ).
tff(c_29744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17628,c_29369,c_198,c_196,c_29743]) ).
tff(c_29745,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_29360]) ).
tff(c_29757,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29745,c_29335,c_72]) ).
tff(c_29758,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_29757]) ).
tff(c_29759,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_29758]) ).
tff(c_29765,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29759,c_130]) ).
tff(c_29750,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29745,c_126]) ).
tff(c_29322,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29320,c_136]) ).
tff(c_29771,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_29354,c_12]) ).
tff(c_29772,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_29771]) ).
tff(c_29778,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29772,c_114]) ).
tff(c_29797,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29745,c_29304,c_78]) ).
tff(c_29798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29322,c_204,c_29778,c_202,c_29797]) ).
tff(c_29799,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_29771]) ).
tff(c_29812,plain,
( ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29799,c_58]) ).
tff(c_29813,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29750,c_196,c_29812]) ).
tff(c_29814,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_29813]) ).
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_29835,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29814,c_29799,c_54]) ).
tff(c_29836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_29765,c_194,c_29311,c_29835]) ).
tff(c_29837,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_29813]) ).
tff(c_29844,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29837,c_98]) ).
tff(c_29899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_29844,c_29312,c_29339,c_2]) ).
tff(c_29900,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_29758]) ).
tff(c_29904,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29900,c_130]) ).
tff(c_29340,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29335,c_128]) ).
tff(c_30033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_29904,c_29340,c_24]) ).
tff(c_30034,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_29333]) ).
tff(c_30049,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_30034]) ).
tff(c_30052,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30049,c_148]) ).
tff(c_30056,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30049,c_122]) ).
tff(c_30061,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_30056,c_20]) ).
tff(c_30062,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_30061]) ).
tff(c_30289,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30062,c_162]) ).
tff(c_30121,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_44]) ).
tff(c_30122,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_30052,c_30121]) ).
tff(c_30135,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_30122,c_36]) ).
tff(c_30136,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_30135]) ).
tff(c_30140,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30136,c_146]) ).
tff(c_30063,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_29309,c_14]) ).
tff(c_30064,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_30063]) ).
tff(c_30068,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30062,c_162]) ).
tff(c_30110,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_30068,c_17625,c_12]) ).
tff(c_30111,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_30110]) ).
tff(c_30151,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_30064,c_30111,c_52]) ).
tff(c_30152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_30140,c_30151]) ).
tff(c_30153,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_30110]) ).
tff(c_30158,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30153,c_158]) ).
tff(c_30209,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_30158,c_4]) ).
tff(c_736,plain,
( ( op(e2,op(op(e2,e2),e2)) != e0 )
| ( op(e2,e2) != e3 )
| ( op(op(e2,e2),e2) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_658]) ).
tff(c_30283,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_30209,c_30153,c_30153,c_30064,c_30209,c_30153,c_736]) ).
tff(c_30284,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_30063]) ).
tff(c_30299,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30284,c_112]) ).
tff(c_30310,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_29325,c_17626,c_30299,c_10]) ).
tff(c_30315,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30310,c_110]) ).
tff(c_30300,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30284,c_114]) ).
tff(c_30320,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30289,c_17625,c_30315,c_30300,c_12]) ).
tff(c_30321,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_30061]) ).
tff(c_30323,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_30321]) ).
tff(c_30326,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30323,c_130]) ).
tff(c_30367,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_30326,c_24]) ).
tff(c_30376,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30367,c_30323,c_30049,c_80]) ).
tff(c_30377,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_30376]) ).
tff(c_30388,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_44]) ).
tff(c_30389,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_30052,c_30388]) ).
tff(c_30335,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_29325,c_17626,c_10]) ).
tff(c_30336,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_30335]) ).
tff(c_30341,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30336,c_110]) ).
tff(c_30328,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30323,c_162]) ).
tff(c_30346,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_17625,c_30341,c_30328,c_12]) ).
tff(c_466,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_30520,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30377,c_30049,c_30049,c_30377,c_30389,c_30389,c_30346,c_29304,c_29304,c_30346,c_30367,c_30367,c_466]) ).
tff(c_30521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_204,c_30520]) ).
tff(c_30522,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_30335]) ).
tff(c_30527,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30522,c_146]) ).
tff(c_30590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_30052,c_29312,c_30527,c_2]) ).
tff(c_30591,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_30321]) ).
tff(c_30595,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30591,c_130]) ).
tff(c_30661,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_82]) ).
tff(c_30662,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_30661]) ).
tff(c_30663,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_30662]) ).
tff(c_30710,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30663,c_17622,c_765,c_86]) ).
tff(c_30711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_30595,c_198,c_202,c_30710]) ).
tff(c_30712,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_30662]) ).
tff(c_30769,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30712,c_17622,c_765,c_86]) ).
tff(c_30770,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_30769]) ).
tff(c_30627,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_44]) ).
tff(c_30628,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_30052,c_30627]) ).
tff(c_30748,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_30628,c_36]) ).
tff(c_30749,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_30748]) ).
tff(c_30713,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_30662]) ).
tff(c_30036,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_30037,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_198,c_30036]) ).
tff(c_30038,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_30037]) ).
tff(c_30736,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30038,c_29320,c_84]) ).
tff(c_30737,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_30713,c_196,c_200,c_30736]) ).
tff(c_30649,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30591,c_30049,c_80]) ).
tff(c_30650,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_204,c_30649]) ).
tff(c_702,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_30843,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30770,c_29320,c_29320,c_30749,c_30737,c_30737,c_30770,c_30650,c_30650,c_30770,c_765,c_765,c_702]) ).
tff(c_30844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_198,c_194,c_30843]) ).
tff(c_30845,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_30034]) ).
tff(c_30850,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30845,c_128]) ).
tff(c_30861,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_30850,c_24]) ).
tff(c_30867,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30861,c_192]) ).
tff(c_30887,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30038,c_29320,c_84]) ).
tff(c_30888,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_30867,c_196,c_200,c_30887]) ).
tff(c_30894,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30888,c_164]) ).
tff(c_30925,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_30894,c_4]) ).
tff(c_30930,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30925,c_98]) ).
tff(c_30851,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30845,c_150]) ).
tff(c_30876,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_29325,c_17626,c_30851,c_10]) ).
tff(c_30880,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30876,c_146]) ).
tff(c_30966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_30930,c_29312,c_30880,c_2]) ).
tff(c_30967,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_30037]) ).
tff(c_30971,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30967,c_124]) ).
tff(c_31063,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_30971,c_30034]) ).
tff(c_31068,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31063,c_128]) ).
tff(c_31088,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_31068,c_24]) ).
tff(c_31175,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31088,c_17622,c_765,c_86]) ).
tff(c_31176,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_31175]) ).
tff(c_30968,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_30037]) ).
tff(c_29310,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_176]) ).
tff(c_31199,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_29322,c_30968,c_29310,c_30]) ).
tff(c_31292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_31176,c_31176,c_31199,c_17622,c_31176,c_730]) ).
tff(c_31293,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_31295,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_31293]) ).
tff(c_31302,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_156]) ).
tff(c_31307,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_31302,c_18]) ).
tff(c_31308,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_31307]) ).
tff(c_31325,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31308,c_72]) ).
tff(c_31326,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_29308,c_202,c_31325]) ).
tff(c_31327,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_31326]) ).
tff(c_31323,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_12]) ).
tff(c_31324,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_31323]) ).
tff(c_31331,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31324,c_166]) ).
tff(c_31347,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_31348,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_198,c_31347]) ).
tff(c_31349,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_31348]) ).
tff(c_31360,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31349,c_31295,c_96]) ).
tff(c_31361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_31331,c_200,c_31360]) ).
tff(c_31362,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_31348]) ).
tff(c_31403,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31327,c_31362,c_31308,c_68]) ).
tff(c_31404,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_31403]) ).
tff(c_31408,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_160]) ).
tff(c_31418,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_31408,c_4]) ).
tff(c_31423,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31418,c_98]) ).
tff(c_31312,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31308,c_150]) ).
tff(c_31301,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_154]) ).
tff(c_31383,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_31312,c_17626,c_31301,c_10]) ).
tff(c_31442,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_31308,c_31383,c_42]) ).
tff(c_31443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_31423,c_31442]) ).
tff(c_31444,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_31326]) ).
tff(c_31542,plain,
( ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31444,c_31324,c_58]) ).
tff(c_31543,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_31542]) ).
tff(c_31544,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_31543]) ).
tff(c_31298,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_136]) ).
tff(c_31449,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31324,c_166]) ).
tff(c_31467,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_31468,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_198,c_31467]) ).
tff(c_31469,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_31468]) ).
tff(c_31506,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31469,c_31295,c_96]) ).
tff(c_31507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_31449,c_200,c_31506]) ).
tff(c_31508,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_31468]) ).
tff(c_31519,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31508,c_29304,c_66]) ).
tff(c_31520,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_31298,c_196,c_194,c_31519]) ).
tff(c_31656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31544,c_31324,c_31324,c_31520,c_31544,c_31324,c_734]) ).
tff(c_31658,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_31543]) ).
tff(c_31299,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_140]) ).
tff(c_31680,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_31299,c_32]) ).
tff(c_31509,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_31468]) ).
tff(c_31698,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_31509,c_29310,c_31298,c_30]) ).
tff(c_31709,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31680,c_31698,c_31295,c_92]) ).
tff(c_31710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_31658,c_196,c_31709]) ).
tff(c_31711,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_31323]) ).
tff(c_31928,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_31711]) ).
tff(c_31931,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31928,c_158]) ).
tff(c_31940,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_31931,c_4]) ).
tff(c_31946,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31940,c_98]) ).
tff(c_31959,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_31928,c_56]) ).
tff(c_31960,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_29309,c_194,c_31959]) ).
tff(c_31986,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_31308,c_31960,c_42]) ).
tff(c_31987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_31946,c_31986]) ).
tff(c_31988,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_31711]) ).
tff(c_31993,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31988,c_162]) ).
tff(c_31713,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_24]) ).
tff(c_31714,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_31713]) ).
tff(c_31719,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31714,c_192]) ).
tff(c_31314,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31308,c_122]) ).
tff(c_31736,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_44]) ).
tff(c_31737,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_31736]) ).
tff(c_31738,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_31737]) ).
tff(c_31742,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31738,c_160]) ).
tff(c_31718,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31714,c_130]) ).
tff(c_31724,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_31711]) ).
tff(c_31728,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31724,c_162]) ).
tff(c_31764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31314,c_31742,c_31718,c_31728,c_20]) ).
tff(c_31766,plain,
op(e3,e2) != e1,
inference(splitRight,[status(thm)],[c_31737]) ).
tff(c_31778,plain,
( ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31724,c_58]) ).
tff(c_31779,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_31766,c_31778]) ).
tff(c_31780,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_31779]) ).
tff(c_31784,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31780,c_168]) ).
tff(c_31790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31314,c_31784,c_31718,c_31728,c_20]) ).
tff(c_31792,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_31779]) ).
tff(c_31805,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_92]) ).
tff(c_31806,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_17629,c_31792,c_196,c_31805]) ).
tff(c_31825,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31806,c_31295,c_96]) ).
tff(c_31826,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_200,c_31825]) ).
tff(c_31859,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31806,c_31826,c_31295,c_88]) ).
tff(c_31860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31719,c_198,c_202,c_194,c_31859]) ).
tff(c_31861,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_31711]) ).
tff(c_31869,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31861,c_110]) ).
tff(c_31902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31312,c_17626,c_31869,c_31301,c_10]) ).
tff(c_31903,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_31713]) ).
tff(c_32066,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31903,c_31308,c_72]) ).
tff(c_32067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_29308,c_31993,c_202,c_32066]) ).
tff(c_32068,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_31307]) ).
tff(c_32070,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_32068]) ).
tff(c_32074,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32070,c_128]) ).
tff(c_32082,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_24]) ).
tff(c_32083,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_32082]) ).
tff(c_32084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32074,c_32083]) ).
tff(c_32085,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_32082]) ).
tff(c_32211,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_17622,c_765,c_86]) ).
tff(c_32212,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_32211]) ).
tff(c_32216,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32212,c_142]) ).
tff(c_31297,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_134]) ).
tff(c_32221,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_32106,c_32216,c_31297,c_28]) ).
tff(c_32225,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32221,c_166]) ).
tff(c_32077,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32070,c_122]) ).
tff(c_32132,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_17622,c_765,c_86]) ).
tff(c_32133,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_32132]) ).
tff(c_32137,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32133,c_142]) ).
tff(c_32142,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_32106,c_32137,c_31297,c_28]) ).
tff(c_32091,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_130]) ).
tff(c_32118,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_31297,c_32091,c_50]) ).
tff(c_32119,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_32118]) ).
tff(c_32195,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32142,c_32119,c_54]) ).
tff(c_32196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_32077,c_194,c_29311,c_32195]) ).
tff(c_32198,plain,
op(e2,e2) != e3,
inference(splitRight,[status(thm)],[c_32118]) ).
tff(c_32261,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_32225,c_17625,c_32198,c_12]) ).
tff(c_32231,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_32070,c_42]) ).
tff(c_32232,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_17626,c_32231]) ).
tff(c_32241,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_52]) ).
tff(c_32242,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_32198,c_31301,c_32241]) ).
tff(c_32226,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32221,c_168]) ).
tff(c_32272,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_32070,c_80]) ).
tff(c_32273,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_32226,c_202,c_32272]) ).
tff(c_568,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_32381,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32261,c_32070,c_32070,c_32212,c_32221,c_32221,c_32232,c_32242,c_32242,c_32273,c_17622,c_17622,c_568]) ).
tff(c_32382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_198,c_202,c_32381]) ).
tff(c_32383,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_32102]) ).
tff(c_32409,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_32070,c_42]) ).
tff(c_32410,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_17626,c_32409]) ).
tff(c_32415,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_98]) ).
tff(c_32443,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_31299,c_32]) ).
tff(c_32447,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32443,c_142]) ).
tff(c_32420,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_12]) ).
tff(c_32421,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_32420]) ).
tff(c_32432,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32421,c_50]) ).
tff(c_32433,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_31297,c_32091,c_200,c_32432]) ).
tff(c_32464,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32421,c_32433,c_54]) ).
tff(c_32465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32447,c_32077,c_202,c_194,c_32464]) ).
tff(c_32466,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_32420]) ).
tff(c_32468,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_32466]) ).
tff(c_32471,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32468,c_158]) ).
tff(c_32515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_32415,c_29311,c_32471,c_4]) ).
tff(c_32516,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_32466]) ).
tff(c_32530,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32516,c_50]) ).
tff(c_32531,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_31297,c_32091,c_194,c_32530]) ).
tff(c_32541,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32085,c_17622,c_765,c_86]) ).
tff(c_32542,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_32541]) ).
tff(c_32384,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_32102]) ).
tff(c_32396,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_32384,c_29310,c_31298,c_30]) ).
tff(c_230,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_32672,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32383,c_32410,c_32410,c_32410,c_32531,c_32531,c_32542,c_32396,c_32396,c_32542,c_765,c_765,c_230]) ).
tff(c_32673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_202,c_194,c_32672]) ).
tff(c_32674,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_32068]) ).
tff(c_32678,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32674,c_148]) ).
tff(c_31300,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31295,c_152]) ).
tff(c_32758,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_32678,c_29312,c_31300,c_2]) ).
tff(c_32759,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_31293]) ).
tff(c_32761,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_32759]) ).
tff(c_32765,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_136]) ).
tff(c_32774,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_32780,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32774,c_168]) ).
tff(c_32888,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_32889,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_32765,c_17627,c_198,c_32888]) ).
tff(c_32767,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_152]) ).
tff(c_32776,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32774,c_122]) ).
tff(c_32769,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_156]) ).
tff(c_32785,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_32769,c_18]) ).
tff(c_32786,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_32785]) ).
tff(c_32787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32776,c_32786]) ).
tff(c_32788,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_32785]) ).
tff(c_32792,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_32788]) ).
tff(c_32795,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32792,c_148]) ).
tff(c_32874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_32767,c_29312,c_32795,c_2]) ).
tff(c_32875,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_32788]) ).
tff(c_32882,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32875,c_150]) ).
tff(c_32955,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_29309,c_14]) ).
tff(c_32956,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_32955]) ).
tff(c_32960,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32956,c_178]) ).
tff(c_32881,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32875,c_128]) ).
tff(c_32899,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_84]) ).
tff(c_32900,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_32899]) ).
tff(c_32901,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_32900]) ).
tff(c_32938,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32901,c_17622,c_765,c_86]) ).
tff(c_32939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_32881,c_198,c_202,c_32938]) ).
tff(c_32941,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_32900]) ).
tff(c_32980,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_771,c_17629,c_32941,c_32]) ).
tff(c_32940,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_32900]) ).
tff(c_32942,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_32940]) ).
tff(c_32992,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32980,c_32942,c_32761,c_96]) ).
tff(c_32993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_32960,c_200,c_204,c_32992]) ).
tff(c_32994,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_32955]) ).
tff(c_32998,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32994,c_112]) ).
tff(c_33006,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_17626,c_32882,c_32998,c_10]) ).
tff(c_33036,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_32875,c_33006,c_34]) ).
tff(c_33037,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_33036]) ).
tff(c_32778,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32774,c_162]) ).
tff(c_32947,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32942,c_166]) ).
tff(c_33079,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_32778,c_17625,c_32947,c_12]) ).
tff(c_33028,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_32881,c_24]) ).
tff(c_33168,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32889,c_32761,c_32761,c_33037,c_32942,c_32942,c_33079,c_29304,c_29304,c_33037,c_33028,c_33028,c_690]) ).
tff(c_33169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_194,c_196,c_33168]) ).
tff(c_33170,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_32940]) ).
tff(c_33193,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33170,c_32761,c_96]) ).
tff(c_33194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_200,c_32780,c_204,c_33193]) ).
tff(c_33195,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_33197,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_33195]) ).
tff(c_33200,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33197,c_122]) ).
tff(c_33209,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_32769,c_33200,c_18]) ).
tff(c_33210,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_33209]) ).
tff(c_33215,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33210,c_150]) ).
tff(c_33202,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33197,c_162]) ).
tff(c_33257,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_33202,c_12]) ).
tff(c_33258,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_33257]) ).
tff(c_33263,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33258,c_114]) ).
tff(c_33269,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_33263,c_17627,c_29309,c_14]) ).
tff(c_33274,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33269,c_112]) ).
tff(c_33294,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_33215,c_17626,c_33274,c_10]) ).
tff(c_33201,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33197,c_160]) ).
tff(c_33305,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_36]) ).
tff(c_33306,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_33201,c_33305]) ).
tff(c_33204,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33197,c_168]) ).
tff(c_33227,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_84]) ).
tff(c_33228,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_33204,c_196,c_33227]) ).
tff(c_33229,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_33228]) ).
tff(c_412,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_33429,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33258,c_33294,c_33294,c_33306,c_33197,c_33197,c_33306,c_33269,c_33269,c_33306,c_33229,c_33229,c_412]) ).
tff(c_33430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_200,c_33429]) ).
tff(c_33431,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_33257]) ).
tff(c_33438,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33431,c_110]) ).
tff(c_33444,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_768,c_32767,c_29312,c_2]) ).
tff(c_33480,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_33210,c_33444,c_38]) ).
tff(c_33481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_33438,c_194,c_33480]) ).
tff(c_33482,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_33228]) ).
tff(c_33488,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33482,c_178]) ).
tff(c_33498,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_17627,c_29309,c_33488,c_14]) ).
tff(c_33504,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33498,c_114]) ).
tff(c_33511,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_33504,c_17625,c_33202,c_12]) ).
tff(c_33517,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33511,c_110]) ).
tff(c_33533,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_768,c_32767,c_29312,c_2]) ).
tff(c_33537,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33533,c_146]) ).
tff(c_33545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33215,c_17626,c_33517,c_33537,c_10]) ).
tff(c_33546,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_33209]) ).
tff(c_33559,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33197,c_33546,c_80]) ).
tff(c_33560,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_200,c_202,c_33559]) ).
tff(c_33614,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33560,c_29304,c_74]) ).
tff(c_33615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32765,c_204,c_17627,c_198,c_33614]) ).
tff(c_33616,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_33195]) ).
tff(c_33618,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_33616]) ).
tff(c_33625,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33618,c_126]) ).
tff(c_33643,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_33644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32765,c_33625,c_17627,c_198,c_33643]) ).
tff(c_33645,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_33616]) ).
tff(c_33649,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33645,c_130]) ).
tff(c_33850,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_33649,c_24]) ).
tff(c_33863,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33850,c_17622,c_765,c_86]) ).
tff(c_33864,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_33863]) ).
tff(c_33660,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_33661,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_32765,c_17627,c_198,c_33660]) ).
tff(c_33791,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33661,c_33645,c_80]) ).
tff(c_33792,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_202,c_33791]) ).
tff(c_33673,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_84]) ).
tff(c_33674,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_33673]) ).
tff(c_33675,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_33674]) ).
tff(c_33680,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33675,c_192]) ).
tff(c_33685,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33661,c_33645,c_80]) ).
tff(c_33686,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_202,c_33685]) ).
tff(c_33753,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33661,c_33645,c_33686,c_68]) ).
tff(c_33754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33680,c_196,c_194,c_200,c_33753]) ).
tff(c_33755,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_33674]) ).
tff(c_33757,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_33755]) ).
tff(c_33763,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33757,c_164]) ).
tff(c_33779,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_33763,c_4]) ).
tff(c_33652,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33645,c_162]) ).
tff(c_33762,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33757,c_166]) ).
tff(c_33802,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_17625,c_33652,c_33762,c_12]) ).
tff(c_33818,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32761,c_33792,c_34]) ).
tff(c_33819,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_33818]) ).
tff(c_33820,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_33819]) ).
tff(c_33823,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33820,c_146]) ).
tff(c_33837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_32767,c_29312,c_33823,c_2]) ).
tff(c_33838,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_33819]) ).
tff(c_33967,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33864,c_33792,c_33792,c_33661,c_33779,c_33779,c_33802,c_29304,c_29304,c_33838,c_33850,c_33850,c_466]) ).
tff(c_33968,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_200,c_196,c_33967]) ).
tff(c_33969,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_33755]) ).
tff(c_33980,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33969,c_32761,c_96]) ).
tff(c_33981,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_200,c_204,c_33980]) ).
tff(c_33985,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33981,c_166]) ).
tff(c_33993,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_4]) ).
tff(c_33994,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_33993]) ).
tff(c_34013,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_33985,c_17625,c_33652,c_12]) ).
tff(c_33975,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33969,c_178]) ).
tff(c_34003,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_17627,c_29309,c_33975,c_14]) ).
tff(c_34129,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33994,c_34013,c_34013,c_34003,c_33994,c_34013,c_736]) ).
tff(c_34130,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_33993]) ).
tff(c_34134,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34130,c_158]) ).
tff(c_34141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33985,c_17625,c_33652,c_34134,c_12]) ).
tff(c_34142,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_32759]) ).
tff(c_34157,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34142,c_96]) ).
tff(c_34158,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_771,c_202,c_34157]) ).
tff(c_34159,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_34158]) ).
tff(c_34164,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_180]) ).
tff(c_34353,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34164,c_29308,c_22]) ).
tff(c_34354,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_34353]) ).
tff(c_34161,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_138]) ).
tff(c_34358,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34354,c_124]) ).
tff(c_34151,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34142,c_156]) ).
tff(c_34367,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_34358,c_34151,c_18]) ).
tff(c_34368,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_34367]) ).
tff(c_34384,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34368,c_122]) ).
tff(c_34359,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34354,c_126]) ).
tff(c_34163,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_178]) ).
tff(c_34183,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17625,c_12]) ).
tff(c_34184,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_34183]) ).
tff(c_34190,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34184,c_110]) ).
tff(c_34150,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34142,c_154]) ).
tff(c_34234,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34142,c_34]) ).
tff(c_34235,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_34234]) ).
tff(c_34236,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_34235]) ).
tff(c_34240,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34236,c_150]) ).
tff(c_34263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34190,c_17626,c_34150,c_34240,c_10]) ).
tff(c_34264,plain,
( ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_34235]) ).
tff(c_34266,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_34264]) ).
tff(c_34270,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34266,c_146]) ).
tff(c_34294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34190,c_17626,c_34150,c_34270,c_10]) ).
tff(c_34295,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_34264]) ).
tff(c_34302,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34295,c_112]) ).
tff(c_34321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34163,c_17627,c_29309,c_34302,c_14]) ).
tff(c_34322,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_34183]) ).
tff(c_34324,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_34322]) ).
tff(c_34330,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34324,c_114]) ).
tff(c_34338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34163,c_17627,c_29309,c_34330,c_14]) ).
tff(c_34339,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_34322]) ).
tff(c_34344,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34339,c_162]) ).
tff(c_34389,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_34384,c_34359,c_34344,c_20]) ).
tff(c_34393,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34389,c_160]) ).
tff(c_34401,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_34393,c_4]) ).
tff(c_34427,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34389,c_34339,c_34401,c_62]) ).
tff(c_34428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34161,c_200,c_202,c_204,c_34427]) ).
tff(c_34429,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_34367]) ).
tff(c_34433,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34429,c_148]) ).
tff(c_34522,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_768,c_29312,c_34433,c_2]) ).
tff(c_34169,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_34142,c_84]) ).
tff(c_34170,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_34169]) ).
tff(c_34171,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_34170]) ).
tff(c_34175,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34171,c_142]) ).
tff(c_34436,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34429,c_122]) ).
tff(c_34454,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34339,c_50]) ).
tff(c_34455,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_34175,c_34436,c_194,c_34454]) ).
tff(c_34442,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34354,c_34429,c_72]) ).
tff(c_34443,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_34344,c_194,c_34442]) ).
tff(c_34598,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34354,c_34522,c_34522,c_34522,c_34455,c_34455,c_34339,c_29304,c_29304,c_34339,c_34443,c_34443,c_210]) ).
tff(c_34599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_194,c_198,c_34598]) ).
tff(c_34600,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_34353]) ).
tff(c_34613,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_34600,c_29304,c_74]) ).
tff(c_34614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_17627,c_198,c_34613]) ).
tff(c_34615,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_34170]) ).
tff(c_34634,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34615,c_164]) ).
tff(c_34641,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_29311,c_34634,c_4]) ).
tff(c_34647,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34641,c_98]) ).
tff(c_34617,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34159,c_29304,c_74]) ).
tff(c_34618,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_17627,c_198,c_34617]) ).
tff(c_34621,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34618,c_124]) ).
tff(c_34652,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_34621,c_34151,c_18]) ).
tff(c_34653,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_34652]) ).
tff(c_34658,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34653,c_150]) ).
tff(c_34664,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_34658,c_17626,c_34150,c_10]) ).
tff(c_34668,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34664,c_146]) ).
tff(c_34685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_34647,c_29312,c_34668,c_2]) ).
tff(c_34686,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_34652]) ).
tff(c_34690,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34686,c_148]) ).
tff(c_34749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_34647,c_29312,c_34690,c_2]) ).
tff(c_34750,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_34158]) ).
tff(c_34756,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34750,c_168]) ).
tff(c_34776,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_29309,c_14]) ).
tff(c_34777,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_34776]) ).
tff(c_34780,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34777,c_174]) ).
tff(c_34764,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29304,c_74]) ).
tff(c_34765,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_17627,c_198,c_34764]) ).
tff(c_34766,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_34765]) ).
tff(c_34771,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34766,c_180]) ).
tff(c_34800,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34766,c_34750,c_34142,c_84]) ).
tff(c_34801,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_34800]) ).
tff(c_34805,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34801,c_192]) ).
tff(c_34983,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_770,c_17628,c_34805,c_24]) ).
tff(c_34988,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34983,c_130]) ).
tff(c_34810,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34756,c_20]) ).
tff(c_34811,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_34810]) ).
tff(c_34823,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34811,c_160]) ).
tff(c_34862,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_44]) ).
tff(c_34863,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_34823,c_34862]) ).
tff(c_34781,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34777,c_112]) ).
tff(c_34853,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_34781,c_17626,c_34150,c_10]) ).
tff(c_34833,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_34780,c_34771,c_29308,c_22]) ).
tff(c_408,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_34979,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34863,c_34853,c_34853,c_34833,c_34811,c_34811,c_34801,c_34777,c_34777,c_34833,c_17622,c_17622,c_408]) ).
tff(c_34980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_194,c_34979]) ).
tff(c_34981,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_34810]) ).
tff(c_34993,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_34988,c_34981]) ).
tff(c_34999,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34993,c_126]) ).
tff(c_35042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34780,c_34771,c_29308,c_34999,c_22]) ).
tff(c_35043,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_34776]) ).
tff(c_35048,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35043,c_112]) ).
tff(c_35392,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_17626,c_34150,c_35048,c_10]) ).
tff(c_35414,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_35043,c_35392,c_56]) ).
tff(c_35415,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_35414]) ).
tff(c_34755,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34750,c_166]) ).
tff(c_35049,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35043,c_114]) ).
tff(c_35164,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_34755,c_17625,c_35049,c_12]) ).
tff(c_35055,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_34151,c_18]) ).
tff(c_35056,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_35055]) ).
tff(c_35060,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35056,c_150]) ).
tff(c_35073,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_34755,c_17625,c_35049,c_12]) ).
tff(c_35123,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_35043,c_35073,c_64]) ).
tff(c_35124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_35060,c_35123]) ).
tff(c_35125,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_35055]) ).
tff(c_35137,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_35125]) ).
tff(c_35140,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35137,c_148]) ).
tff(c_35187,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_768,c_29312,c_35140,c_2]) ).
tff(c_35169,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35164,c_162]) ).
tff(c_35144,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35137,c_122]) ).
tff(c_35175,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_34756,c_35169,c_35144,c_20]) ).
tff(c_35180,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35175,c_160]) ).
tff(c_35233,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_767,c_35180,c_29311,c_4]) ).
tff(c_35153,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35137,c_80]) ).
tff(c_35154,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_34756,c_200,c_35153]) ).
tff(c_35197,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35154,c_35175,c_35137,c_72]) ).
tff(c_35198,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_35197]) ).
tff(c_35323,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35164,c_34142,c_34142,c_35187,c_35233,c_35233,c_35164,c_29304,c_29304,c_35164,c_35198,c_35198,c_594]) ).
tff(c_35324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_198,c_35323]) ).
tff(c_35325,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_35125]) ).
tff(c_35352,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35325,c_80]) ).
tff(c_35353,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_34756,c_204,c_35352]) ).
tff(c_35338,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34142,c_35325,c_34]) ).
tff(c_35339,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_35048,c_35338]) ).
tff(c_35424,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_29304,c_35339,c_44]) ).
tff(c_35425,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_35424]) ).
tff(c_35127,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34766,c_34750,c_34142,c_84]) ).
tff(c_35128,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_35127]) ).
tff(c_608,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_35517,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35415,c_34142,c_34142,c_35353,c_35425,c_35425,c_35128,c_35353,c_35353,c_35353,c_17622,c_17622,c_608]) ).
tff(c_35518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_196,c_202,c_35517]) ).
tff(c_35519,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_34765]) ).
tff(c_35567,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35519,c_80]) ).
tff(c_35568,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_204,c_34756,c_35567]) ).
tff(c_35573,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35568,c_150]) ).
tff(c_35533,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34750,c_34142,c_84]) ).
tff(c_35534,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_35533]) ).
tff(c_35535,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_35534]) ).
tff(c_35541,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35535,c_144]) ).
tff(c_35581,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35519,c_29304,c_66]) ).
tff(c_35582,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_35541,c_196,c_194,c_35581]) ).
tff(c_35585,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35582,c_112]) ).
tff(c_35625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35573,c_17626,c_34150,c_35585,c_10]) ).
tff(c_35627,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_35534]) ).
tff(c_34148,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34142,c_140]) ).
tff(c_35744,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17622,c_765,c_86]) ).
tff(c_35745,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_34148,c_198,c_202,c_35744]) ).
tff(c_35786,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35745,c_17622,c_765,c_82]) ).
tff(c_35787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35627,c_194,c_196,c_200,c_35786]) ).
tff(c_35788,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_17620]) ).
tff(c_40722,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_40723,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_40722]) ).
tff(c_40724,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_40723]) ).
tff(c_40727,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_140]) ).
tff(c_35794,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_120]) ).
tff(c_40735,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35794,c_70]) ).
tff(c_40736,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_40735]) ).
tff(c_40738,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40736,c_136]) ).
tff(c_40773,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40727,c_40738,c_26]) ).
tff(c_40774,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_40773]) ).
tff(c_40780,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40774,c_156]) ).
tff(c_40800,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_40780,c_80]) ).
tff(c_40801,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_40800]) ).
tff(c_40807,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40801,c_174]) ).
tff(c_40740,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40736,c_176]) ).
tff(c_40762,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_40740,c_6]) ).
tff(c_40763,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_40762]) ).
tff(c_40767,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40763,c_170]) ).
tff(c_35792,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_118]) ).
tff(c_35802,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_35792,c_12]) ).
tff(c_35803,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_35802]) ).
tff(c_35807,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35803,c_166]) ).
tff(c_35796,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_190]) ).
tff(c_35809,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35803,c_110]) ).
tff(c_35814,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_82]) ).
tff(c_35815,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_35814]) ).
tff(c_35816,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_35815]) ).
tff(c_38323,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_92]) ).
tff(c_38324,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_38323]) ).
tff(c_38325,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_38324]) ).
tff(c_35806,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35803,c_162]) ).
tff(c_35827,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_35806,c_80]) ).
tff(c_35828,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_35827]) ).
tff(c_35830,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35828,c_124]) ).
tff(c_36777,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35788,c_765,c_90]) ).
tff(c_36778,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_36777]) ).
tff(c_36782,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36778,c_128]) ).
tff(c_35834,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35828,c_180]) ).
tff(c_35839,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_96]) ).
tff(c_35840,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_35834,c_35807,c_35839]) ).
tff(c_35851,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_35852,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_35851]) ).
tff(c_35857,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35852,c_98]) ).
tff(c_35874,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35806,c_20]) ).
tff(c_35875,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_35874]) ).
tff(c_35877,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35875,c_130]) ).
tff(c_35906,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35788,c_765,c_90]) ).
tff(c_35907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_35877,c_198,c_204,c_35906]) ).
tff(c_35908,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_35874]) ).
tff(c_35910,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_35908]) ).
tff(c_35915,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35910,c_160]) ).
tff(c_35974,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_35857,c_35915,c_4]) ).
tff(c_35978,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35974,c_164]) ).
tff(c_35862,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35840,c_92]) ).
tff(c_35863,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_35862]) ).
tff(c_35864,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_35863]) ).
tff(c_35996,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35864,c_35840,c_88]) ).
tff(c_35997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_35978,c_202,c_35996]) ).
tff(c_35998,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_35908]) ).
tff(c_36005,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35998,c_168]) ).
tff(c_36063,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35864,c_35840,c_88]) ).
tff(c_36064,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_36005,c_202,c_36063]) ).
tff(c_36065,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_35863]) ).
tff(c_36243,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_36065,c_35840,c_88]) ).
tff(c_36244,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_36243]) ).
tff(c_35856,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35852,c_100]) ).
tff(c_36098,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_35856,c_6]) ).
tff(c_36099,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_36098]) ).
tff(c_36102,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36099,c_176]) ).
tff(c_36160,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_36065,c_35840,c_88]) ).
tff(c_36161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_36102,c_198,c_202,c_36160]) ).
tff(c_36162,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_36098]) ).
tff(c_36167,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36162,c_102]) ).
tff(c_36217,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_767,c_35857,c_36167,c_4]) ).
tff(c_36256,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36065,c_35803,c_36217,c_50]) ).
tff(c_36257,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_36256]) ).
tff(c_36332,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36244,c_35828,c_35828,c_36257,c_36244,c_35828,c_746]) ).
tff(c_36333,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_35851]) ).
tff(c_36335,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_36333]) ).
tff(c_36490,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_36335,c_40]) ).
tff(c_36491,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_36490]) ).
tff(c_36492,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_36491]) ).
tff(c_36565,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_36492,c_36335,c_44]) ).
tff(c_36566,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_36565]) ).
tff(c_36650,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35840,c_35840,c_35828,c_36566,c_36566,c_35816,c_35828,c_35828,c_35803,c_35788,c_35788,c_608]) ).
tff(c_36651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_202,c_36650]) ).
tff(c_36652,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_36491]) ).
tff(c_36656,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36652,c_164]) ).
tff(c_35820,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_142]) ).
tff(c_36662,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_35807,c_36656,c_35820,c_28]) ).
tff(c_36339,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36335,c_146]) ).
tff(c_35808,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35803,c_114]) ).
tff(c_36437,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35808,c_35794,c_14]) ).
tff(c_36438,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_36437]) ).
tff(c_36474,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_36438,c_35803,c_52]) ).
tff(c_36475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_36339,c_36474]) ).
tff(c_36476,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_36437]) ).
tff(c_36750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36662,c_35803,c_35803,c_36476,c_36662,c_35803,c_734]) ).
tff(c_36751,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_36333]) ).
tff(c_36755,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36751,c_148]) ).
tff(c_35795,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_186]) ).
tff(c_36764,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35828,c_72]) ).
tff(c_36765,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_35795,c_202,c_36755,c_36764]) ).
tff(c_36770,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36765,c_168]) ).
tff(c_36851,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_35807,c_36770,c_35820,c_28]) ).
tff(c_36789,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35840,c_36751,c_34]) ).
tff(c_36790,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_36789]) ).
tff(c_36791,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_36790]) ).
tff(c_36797,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36791,c_150]) ).
tff(c_36817,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_35803,c_52]) ).
tff(c_36818,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_36797,c_36817]) ).
tff(c_36918,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36851,c_35803,c_35803,c_36818,c_36851,c_35803,c_734]) ).
tff(c_36920,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_36790]) ).
tff(c_36929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35830,c_36782,c_36755,c_36920,c_18]) ).
tff(c_36930,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_35827]) ).
tff(c_36937,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36930,c_156]) ).
tff(c_38328,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38325,c_136]) ).
tff(c_35819,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_140]) ).
tff(c_38337,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_36937,c_38328,c_35819,c_26]) ).
tff(c_38352,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_38325,c_38337,c_96]) ).
tff(c_38353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_35807,c_202,c_38352]) ).
tff(c_38354,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_38324]) ).
tff(c_38358,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_38354]) ).
tff(c_38364,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38358,c_154]) ).
tff(c_35793,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_116]) ).
tff(c_38000,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36930,c_72]) ).
tff(c_38001,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35795,c_202,c_38000]) ).
tff(c_38002,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_38001]) ).
tff(c_36942,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_6]) ).
tff(c_36943,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_36942]) ).
tff(c_36947,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36943,c_176]) ).
tff(c_36965,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_92]) ).
tff(c_36966,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_36947,c_36965]) ).
tff(c_36967,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_36966]) ).
tff(c_36970,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36967,c_134]) ).
tff(c_36949,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36943,c_100]) ).
tff(c_36978,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_36949,c_2]) ).
tff(c_36979,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_36978]) ).
tff(c_36983,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36979,c_152]) ).
tff(c_37051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36937,c_36970,c_36983,c_35819,c_26]) ).
tff(c_37052,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_36978]) ).
tff(c_37057,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37052,c_146]) ).
tff(c_37108,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_35803,c_52]) ).
tff(c_37109,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_37057,c_37108]) ).
tff(c_37195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_36967,c_35803,c_35803,c_37109,c_36967,c_35803,c_734]) ).
tff(c_37196,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_36966]) ).
tff(c_36946,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36943,c_170]) ).
tff(c_37210,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37196,c_36930,c_34]) ).
tff(c_37211,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_37210]) ).
tff(c_37212,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_37211]) ).
tff(c_37307,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_35803,c_37212,c_60]) ).
tff(c_37308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_36946,c_204,c_196,c_37307]) ).
tff(c_37309,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_37211]) ).
tff(c_37347,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37196,c_36930,c_37309,c_38]) ).
tff(c_37348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_35793,c_194,c_37347]) ).
tff(c_37349,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_36942]) ).
tff(c_37351,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_37349]) ).
tff(c_37357,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37351,c_102]) ).
tff(c_37363,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_37357,c_4]) ).
tff(c_37364,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_37363]) ).
tff(c_37368,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37364,c_164]) ).
tff(c_37367,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37364,c_160]) ).
tff(c_37403,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35806,c_37367,c_20]) ).
tff(c_37404,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_37403]) ).
tff(c_37441,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37404,c_35803,c_37364,c_50]) ).
tff(c_37442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35820,c_194,c_200,c_196,c_37441]) ).
tff(c_37443,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_37403]) ).
tff(c_37457,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37443,c_36930,c_72]) ).
tff(c_37458,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_35795,c_194,c_202,c_37457]) ).
tff(c_37376,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_36937,c_35819,c_26]) ).
tff(c_37377,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_37376]) ).
tff(c_37381,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37377,c_136]) ).
tff(c_37463,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37458,c_180]) ).
tff(c_35821,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_144]) ).
tff(c_37494,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_37381,c_37463,c_35821,c_30]) ).
tff(c_488,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_37611,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_36930,c_36930,c_37458,c_37364,c_37364,c_35816,c_37494,c_37494,c_35803,c_35788,c_35788,c_488]) ).
tff(c_37612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_202,c_37611]) ).
tff(c_37613,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_37376]) ).
tff(c_37637,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_37613,c_92]) ).
tff(c_37638,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_37368,c_198,c_37637]) ).
tff(c_37648,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_37638,c_37613,c_96]) ).
tff(c_37649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_35807,c_202,c_37648]) ).
tff(c_37650,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_37363]) ).
tff(c_37662,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_36937,c_35819,c_26]) ).
tff(c_37663,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_37662]) ).
tff(c_37668,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37663,c_152]) ).
tff(c_37657,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37650,c_98]) ).
tff(c_37358,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37351,c_100]) ).
tff(c_37706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_37668,c_37657,c_37358,c_2]) ).
tff(c_37707,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_37662]) ).
tff(c_37712,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37707,c_136]) ).
tff(c_37770,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37712,c_35821,c_30]) ).
tff(c_37771,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_37770]) ).
tff(c_37655,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37650,c_160]) ).
tff(c_37720,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36930,c_72]) ).
tff(c_37721,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_35795,c_37655,c_202,c_37720]) ).
tff(c_37795,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_37771,c_37707,c_92]) ).
tff(c_37796,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_37795]) ).
tff(c_37805,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37796,c_35803,c_37650,c_50]) ).
tff(c_37806,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_37805]) ).
tff(c_37832,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37721,c_37806,c_36930,c_76]) ).
tff(c_37833,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_37832]) ).
tff(c_37931,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_36930,c_36930,c_35803,c_37650,c_37650,c_35816,c_37771,c_37771,c_37721,c_37833,c_37833,c_490]) ).
tff(c_37932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_200,c_198,c_37931]) ).
tff(c_37933,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_37770]) ).
tff(c_37985,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37933,c_37721,c_37351,c_78]) ).
tff(c_37986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_35808,c_200,c_37985]) ).
tff(c_37987,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_37349]) ).
tff(c_37991,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37987,c_172]) ).
tff(c_38013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38002,c_37991]) ).
tff(c_38014,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_38001]) ).
tff(c_38300,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_35803,c_50]) ).
tff(c_38301,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_35820,c_194,c_200,c_38300]) ).
tff(c_38084,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_35788,c_765,c_90]) ).
tff(c_38085,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_38084]) ).
tff(c_38115,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38085,c_38014,c_36930,c_68]) ).
tff(c_38116,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_38115]) ).
tff(c_38026,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35808,c_35794,c_14]) ).
tff(c_38027,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_38026]) ).
tff(c_38032,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_178]) ).
tff(c_38039,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_92]) ).
tff(c_38040,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_38032,c_38039]) ).
tff(c_38041,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_38040]) ).
tff(c_38045,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38041,c_134]) ).
tff(c_38031,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_112]) ).
tff(c_38052,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36930,c_42]) ).
tff(c_38053,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_38045,c_204,c_38031,c_38052]) ).
tff(c_572,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_38232,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35816,c_36930,c_36930,c_38116,c_38041,c_38041,c_38116,c_38027,c_38027,c_38053,c_35816,c_35816,c_572]) ).
tff(c_38233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_204,c_38232]) ).
tff(c_38234,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_38040]) ).
tff(c_38240,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38234,c_152]) ).
tff(c_37995,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37987,c_100]) ).
tff(c_38273,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38234,c_36930,c_34]) ).
tff(c_38274,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_38273]) ).
tff(c_38275,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_38274]) ).
tff(c_38279,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38275,c_146]) ).
tff(c_38288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_38240,c_37995,c_38279,c_2]) ).
tff(c_38289,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_38274]) ).
tff(c_38295,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38289,c_98]) ).
tff(c_38310,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38301,c_38295]) ).
tff(c_38311,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_38026]) ).
tff(c_38316,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38311,c_112]) ).
tff(c_38409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35809,c_38364,c_35793,c_38316,c_10]) ).
tff(c_38410,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_38354]) ).
tff(c_38417,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38410,c_164]) ).
tff(c_38018,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_160]) ).
tff(c_38411,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_38354]) ).
tff(c_38422,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_36937,c_38411,c_35819,c_26]) ).
tff(c_38445,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38422,c_36930,c_34]) ).
tff(c_38446,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_38316,c_38445]) ).
tff(c_38450,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38446,c_98]) ).
tff(c_38466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_38417,c_38018,c_38450,c_4]) ).
tff(c_38467,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_35815]) ).
tff(c_38474,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_192]) ).
tff(c_40483,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_35796,c_38474,c_32]) ).
tff(c_40488,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40483,c_142]) ).
tff(c_38479,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_80]) ).
tff(c_38480,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_35806,c_38479]) ).
tff(c_38481,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_38480]) ).
tff(c_38482,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38481,c_124]) ).
tff(c_38503,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_2]) ).
tff(c_38504,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_38503]) ).
tff(c_38506,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38504,c_148]) ).
tff(c_38705,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_35788,c_765,c_90]) ).
tff(c_38706,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_38705]) ).
tff(c_38486,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38481,c_180]) ).
tff(c_38492,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_771,c_38486,c_35807,c_96]) ).
tff(c_38473,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_130]) ).
tff(c_38514,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35806,c_38473,c_20]) ).
tff(c_38515,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_38514]) ).
tff(c_38509,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38504,c_98]) ).
tff(c_38508,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38504,c_100]) ).
tff(c_38535,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_38508,c_6]) ).
tff(c_38536,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_38535]) ).
tff(c_38541,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38536,c_102]) ).
tff(c_38546,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38492,c_84]) ).
tff(c_38547,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_38474,c_200,c_38546]) ).
tff(c_38548,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_38547]) ).
tff(c_38525,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_38481,c_38515,c_72]) ).
tff(c_38526,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_38525]) ).
tff(c_38676,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38548,c_38481,c_38481,c_38526,c_38548,c_38481,c_758]) ).
tff(c_38677,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_38547]) ).
tff(c_38685,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38677,c_164]) ).
tff(c_38692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_38509,c_38541,c_38685,c_4]) ).
tff(c_38693,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_38535]) ).
tff(c_656,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_38878,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38706,c_38492,c_38492,c_38481,c_38515,c_38515,c_38504,c_38693,c_38693,c_35803,c_35788,c_35788,c_656]) ).
tff(c_38879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_202,c_38878]) ).
tff(c_38880,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_38514]) ).
tff(c_38884,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38880,c_122]) ).
tff(c_38472,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_128]) ).
tff(c_38984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38482,c_38506,c_38884,c_38472,c_18]) ).
tff(c_38985,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_38503]) ).
tff(c_38987,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_38985]) ).
tff(c_38993,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38987,c_98]) ).
tff(c_39090,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_35796,c_38474,c_32]) ).
tff(c_39095,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39090,c_144]) ).
tff(c_38998,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4]) ).
tff(c_38999,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_38998]) ).
tff(c_39003,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38999,c_164]) ).
tff(c_39009,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38492,c_84]) ).
tff(c_39010,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_38474,c_200,c_39009]) ).
tff(c_39011,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_39010]) ).
tff(c_39013,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39011,c_138]) ).
tff(c_39074,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_35807,c_39003,c_39013,c_28]) ).
tff(c_39086,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39074,c_35803,c_38999,c_50]) ).
tff(c_39087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_38473,c_200,c_196,c_39086]) ).
tff(c_39089,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_39010]) ).
tff(c_39139,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35808,c_35794,c_14]) ).
tff(c_39140,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_39139]) ).
tff(c_39119,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_38999,c_38987,c_40]) ).
tff(c_39120,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_39119]) ).
tff(c_39159,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38481,c_39140,c_39120,c_66]) ).
tff(c_39160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39089,c_200,c_196,c_194,c_39159]) ).
tff(c_39161,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_39139]) ).
tff(c_39192,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38481,c_39161,c_39120,c_74]) ).
tff(c_39193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39095,c_204,c_196,c_198,c_39192]) ).
tff(c_39194,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_38998]) ).
tff(c_39196,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_38993,c_39194]) ).
tff(c_39200,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39196,c_160]) ).
tff(c_39209,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_35806,c_39200,c_38473,c_20]) ).
tff(c_39214,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39209,c_168]) ).
tff(c_39201,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39196,c_164]) ).
tff(c_39266,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_35807,c_39214,c_39201,c_28]) ).
tff(c_39213,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39209,c_122]) ).
tff(c_39229,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_38482,c_39213,c_38472,c_18]) ).
tff(c_39289,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38492,c_39229,c_38987,c_42]) ).
tff(c_39290,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_39289]) ).
tff(c_39363,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_39266,c_35803,c_35803,c_39290,c_39266,c_35803,c_762]) ).
tff(c_39364,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_38985]) ).
tff(c_39370,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39364,c_100]) ).
tff(c_39725,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_39370,c_6]) ).
tff(c_39726,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_39725]) ).
tff(c_39729,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39726,c_170]) ).
tff(c_39371,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39364,c_98]) ).
tff(c_39442,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_35796,c_38474,c_32]) ).
tff(c_39377,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4]) ).
tff(c_39378,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_39377]) ).
tff(c_39466,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_39378,c_39364,c_36]) ).
tff(c_39467,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_39466]) ).
tff(c_39471,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39467,c_170]) ).
tff(c_39478,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_35808,c_35794,c_39471,c_14]) ).
tff(c_632,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_39600,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39442,c_38492,c_38492,c_39442,c_35803,c_35803,c_38481,c_39478,c_39478,c_35803,c_35788,c_35788,c_632]) ).
tff(c_39601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_202,c_202,c_39600]) ).
tff(c_39602,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_39377]) ).
tff(c_39736,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_39371,c_39602]) ).
tff(c_39740,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39736,c_164]) ).
tff(c_39745,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38492,c_84]) ).
tff(c_39746,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_38474,c_39740,c_200,c_39745]) ).
tff(c_39751,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39746,c_178]) ).
tff(c_39767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35808,c_39729,c_35794,c_39751,c_14]) ).
tff(c_39768,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_39725]) ).
tff(c_39774,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39768,c_102]) ).
tff(c_39780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39774,c_39371,c_39602]) ).
tff(c_39781,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_38480]) ).
tff(c_40117,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39781,c_156]) ).
tff(c_40133,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_35796,c_38474,c_32]) ).
tff(c_40137,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40133,c_140]) ).
tff(c_39783,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4]) ).
tff(c_39784,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_39783]) ).
tff(c_39787,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39784,c_164]) ).
tff(c_39955,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39787,c_92]) ).
tff(c_39956,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_39955]) ).
tff(c_39799,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39781,c_156]) ).
tff(c_39960,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39956,c_140]) ).
tff(c_39788,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39784,c_102]) ).
tff(c_39789,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39784,c_98]) ).
tff(c_39919,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_39789,c_2]) ).
tff(c_39920,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_39919]) ).
tff(c_39925,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39920,c_100]) ).
tff(c_39782,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_38480]) ).
tff(c_39804,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35808,c_35794,c_14]) ).
tff(c_39805,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_39804]) ).
tff(c_39808,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39805,c_174]) ).
tff(c_39786,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39784,c_160]) ).
tff(c_39816,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_35806,c_39786,c_38473,c_20]) ).
tff(c_39820,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39816,c_126]) ).
tff(c_38471,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_132]) ).
tff(c_39893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39782,c_39808,c_39820,c_38471,c_22]) ).
tff(c_39894,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_39804]) ).
tff(c_39900,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39894,c_170]) ).
tff(c_39932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_39788,c_39925,c_39900,c_6]) ).
tff(c_39933,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_39919]) ).
tff(c_39938,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39933,c_152]) ).
tff(c_39997,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_39799,c_39960,c_39938,c_26]) ).
tff(c_754,plain,
( ( op(e0,op(op(e0,e0),e0)) != e2 )
| ( op(e0,e0) != e1 )
| ( op(op(e0,e0),e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_712]) ).
tff(c_40095,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_39956,c_39956,c_39997,c_38467,c_39956,c_754]) ).
tff(c_40097,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_39955]) ).
tff(c_40109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_40097,c_35796,c_38474,c_32]) ).
tff(c_40110,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_39783]) ).
tff(c_40122,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_40110]) ).
tff(c_40126,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40122,c_164]) ).
tff(c_40128,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40122,c_98]) ).
tff(c_40144,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_768,c_40128,c_2]) ).
tff(c_40145,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_40144]) ).
tff(c_40148,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40145,c_146]) ).
tff(c_40169,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_35809,c_40148,c_35793,c_10]) ).
tff(c_40173,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40169,c_154]) ).
tff(c_40191,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40133,c_96]) ).
tff(c_40192,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_35807,c_40117,c_40191]) ).
tff(c_40204,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40133,c_40192,c_84]) ).
tff(c_40205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_40126,c_40173,c_40204]) ).
tff(c_40206,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_40144]) ).
tff(c_40211,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40206,c_152]) ).
tff(c_40218,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39781,c_40206,c_34]) ).
tff(c_40219,plain,
( ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_40218]) ).
tff(c_40220,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_40219]) ).
tff(c_40226,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40220,c_154]) ).
tff(c_40272,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_35809,c_35793,c_40226,c_10]) ).
tff(c_40276,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40272,c_112]) ).
tff(c_40297,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_35808,c_40276,c_35794,c_14]) ).
tff(c_40233,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39782,c_38471,c_22]) ).
tff(c_40234,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_40233]) ).
tff(c_40239,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40234,c_172]) ).
tff(c_40212,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40206,c_100]) ).
tff(c_40127,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40122,c_102]) ).
tff(c_40258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_766,c_40239,c_40212,c_40127,c_6]) ).
tff(c_40259,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_40233]) ).
tff(c_40414,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40297,c_40259,c_40259,c_39781,c_40297,c_40259,c_760]) ).
tff(c_40416,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_40219]) ).
tff(c_40469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40117,c_40137,c_40211,c_40416,c_26]) ).
tff(c_40470,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_40110]) ).
tff(c_40475,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40470,c_164]) ).
tff(c_40696,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_35807,c_40488,c_40475,c_28]) ).
tff(c_40487,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40483,c_140]) ).
tff(c_40523,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_40117,c_40487,c_26]) ).
tff(c_40524,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_40523]) ).
tff(c_40683,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38467,c_40483,c_40483,c_40524,c_38467,c_40483,c_754]) ).
tff(c_40684,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_40523]) ).
tff(c_40688,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40684,c_134]) ).
tff(c_40707,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40696,c_40688]) ).
tff(c_40708,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_35802]) ).
tff(c_40710,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_40708]) ).
tff(c_40716,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40710,c_114]) ).
tff(c_40812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40807,c_40767,c_35794,c_40716,c_14]) ).
tff(c_40814,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_40800]) ).
tff(c_40766,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40763,c_172]) ).
tff(c_40742,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40736,c_180]) ).
tff(c_40863,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_35788,c_765,c_82]) ).
tff(c_40864,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_40863]) ).
tff(c_40868,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40864,c_132]) ).
tff(c_40884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40814,c_40766,c_40742,c_40868,c_22]) ).
tff(c_40885,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_40762]) ).
tff(c_40749,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40]) ).
tff(c_40750,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_40740,c_40749]) ).
tff(c_40751,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_40750]) ).
tff(c_41018,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40885,c_40751,c_44]) ).
tff(c_41019,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_41018]) ).
tff(c_40715,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40710,c_166]) ).
tff(c_40909,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_40736,c_84]) ).
tff(c_40910,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_40715,c_40909]) ).
tff(c_40896,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_40897,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_40896]) ).
tff(c_40901,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40897,c_126]) ).
tff(c_40754,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40751,c_160]) ).
tff(c_40714,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40710,c_162]) ).
tff(c_41049,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_40901,c_40754,c_40714,c_20]) ).
tff(c_41134,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41019,c_40910,c_40910,c_40897,c_41049,c_41049,c_40710,c_40736,c_40736,c_40724,c_765,c_765,c_678]) ).
tff(c_41135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_196,c_41134]) ).
tff(c_41137,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_40896]) ).
tff(c_41136,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_40896]) ).
tff(c_41139,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_41136]) ).
tff(c_41144,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41139,c_122]) ).
tff(c_41162,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_41144,c_40754,c_40714,c_20]) ).
tff(c_41167,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41162,c_126]) ).
tff(c_40889,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40885,c_172]) ).
tff(c_41197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41137,c_41167,c_40742,c_40889,c_22]) ).
tff(c_41198,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_41136]) ).
tff(c_41200,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40754,c_40714,c_20]) ).
tff(c_41201,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_41200]) ).
tff(c_41207,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41201,c_168]) ).
tff(c_41226,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_40736,c_84]) ).
tff(c_41227,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_40715,c_41226]) ).
tff(c_41238,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_40736,c_41227,c_96]) ).
tff(c_41239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_41207,c_200,c_41238]) ).
tff(c_41240,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_41200]) ).
tff(c_41253,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_41198,c_41240]) ).
tff(c_41255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_41253]) ).
tff(c_41257,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_40750]) ).
tff(c_40713,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40710,c_158]) ).
tff(c_41270,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_41257,c_40713,c_4]) ).
tff(c_41293,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_41294,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_41293]) ).
tff(c_40717,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40710,c_110]) ).
tff(c_41256,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_40750]) ).
tff(c_41281,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41256,c_34]) ).
tff(c_41282,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40717,c_194,c_41281]) ).
tff(c_41283,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_41282]) ).
tff(c_41307,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_40710,c_60]) ).
tff(c_41308,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_41307]) ).
tff(c_41309,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_41308]) ).
tff(c_41330,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_41309,c_40710,c_64]) ).
tff(c_41331,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_41330]) ).
tff(c_41340,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41283,c_41331,c_41256,c_42]) ).
tff(c_41341,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_41340]) ).
tff(c_41362,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_35788,c_765,c_82]) ).
tff(c_41363,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_41362]) ).
tff(c_474,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_41481,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41294,c_41341,c_41341,c_41294,c_41270,c_41270,c_41294,c_41309,c_41309,c_41256,c_41363,c_41363,c_474]) ).
tff(c_41482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_198,c_41481]) ).
tff(c_41484,plain,
op(e2,e1) != e1,
inference(splitRight,[status(thm)],[c_41308]) ).
tff(c_41276,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_41270,c_102]) ).
tff(c_41514,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40736,c_41294,c_74]) ).
tff(c_41515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_41484,c_41276,c_41514]) ).
tff(c_41516,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_41293]) ).
tff(c_41518,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_41516]) ).
tff(c_41522,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41518,c_150]) ).
tff(c_41529,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_40710,c_60]) ).
tff(c_41530,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_41529]) ).
tff(c_41531,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_41530]) ).
tff(c_41552,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_41531,c_40710,c_64]) ).
tff(c_41553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_41522,c_41552]) ).
tff(c_41554,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_41530]) ).
tff(c_41564,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_40710,c_41554,c_64]) ).
tff(c_41565,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_41564]) ).
tff(c_41682,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41270,c_40710,c_40710,c_41565,c_41270,c_40710,c_736]) ).
tff(c_41683,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_41516]) ).
tff(c_41690,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41683,c_168]) ).
tff(c_40728,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_142]) ).
tff(c_40739,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40736,c_138]) ).
tff(c_41707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41690,c_40728,c_40739,c_40715,c_28]) ).
tff(c_41708,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_41282]) ).
tff(c_41711,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41708,c_128]) ).
tff(c_41720,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_35788,c_765,c_82]) ).
tff(c_41721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_41711,c_194,c_200,c_41720]) ).
tff(c_41722,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_40735]) ).
tff(c_41724,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_41722]) ).
tff(c_41729,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41724,c_102]) ).
tff(c_42245,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_40713,c_4]) ).
tff(c_42246,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_42245]) ).
tff(c_42252,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42246,c_98]) ).
tff(c_41730,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41724,c_100]) ).
tff(c_42098,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_41729,c_40713,c_4]) ).
tff(c_40730,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_192]) ).
tff(c_41903,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_40730,c_35795,c_24]) ).
tff(c_41748,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_35793,c_40717,c_10]) ).
tff(c_41749,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_41748]) ).
tff(c_41754,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41749,c_154]) ).
tff(c_41735,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_84]) ).
tff(c_41736,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_40715,c_41735]) ).
tff(c_41737,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_41736]) ).
tff(c_41740,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41737,c_136]) ).
tff(c_41949,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_41754,c_40727,c_41740,c_26]) ).
tff(c_42059,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_41903,c_40724,c_40724,c_41949,c_41903,c_40724,c_754]) ).
tff(c_42060,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_41748]) ).
tff(c_42068,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42060,c_112]) ).
tff(c_42197,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_42068,c_35794,c_40716,c_14]) ).
tff(c_42242,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42098,c_40710,c_40710,c_42197,c_42098,c_40710,c_736]) ).
tff(c_42243,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_41736]) ).
tff(c_42260,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42243,c_152]) ).
tff(c_42431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_42252,c_41730,c_42260,c_2]) ).
tff(c_42432,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_42245]) ).
tff(c_42434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41729,c_42432]) ).
tff(c_42435,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_41722]) ).
tff(c_43099,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42435,c_126]) ).
tff(c_42437,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40714,c_20]) ).
tff(c_42438,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_42437]) ).
tff(c_42444,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42438,c_168]) ).
tff(c_41723,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_40735]) ).
tff(c_42436,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_41722]) ).
tff(c_42674,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40]) ).
tff(c_42675,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_42436,c_42674]) ).
tff(c_42676,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_42675]) ).
tff(c_42688,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42676,c_164]) ).
tff(c_40729,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_144]) ).
tff(c_42459,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40727,c_26]) ).
tff(c_42460,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_42459]) ).
tff(c_42488,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42460,c_136]) ).
tff(c_42523,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42435,c_78]) ).
tff(c_42524,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_42488,c_202,c_766,c_42523]) ).
tff(c_42508,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_40713,c_4]) ).
tff(c_42509,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_42508]) ).
tff(c_42513,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42509,c_102]) ).
tff(c_42534,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_42513,c_42436,c_6]) ).
tff(c_42544,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42435,c_42524,c_42534,c_74]) ).
tff(c_42545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40729,c_198,c_204,c_196,c_42544]) ).
tff(c_42546,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_42508]) ).
tff(c_42550,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42546,c_164]) ).
tff(c_42657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42444,c_40728,c_42550,c_40715,c_28]) ).
tff(c_42658,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_42459]) ).
tff(c_42660,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_42658]) ).
tff(c_42736,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_42660,c_88]) ).
tff(c_42737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_41723,c_42688,c_194,c_42736]) ).
tff(c_42738,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_42675]) ).
tff(c_42760,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_42738,c_44]) ).
tff(c_42761,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_42760]) ).
tff(c_42762,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_42761]) ).
tff(c_42767,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42762,c_102]) ).
tff(c_42739,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_42675]) ).
tff(c_42772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_42767,c_42739,c_40713,c_4]) ).
tff(c_42773,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_42761]) ).
tff(c_42947,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42738,c_42660,c_42660,c_42435,c_42773,c_42773,c_40710,c_42435,c_42435,c_42435,c_40724,c_40724,c_612]) ).
tff(c_42948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_196,c_202,c_42947]) ).
tff(c_42949,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_42658]) ).
tff(c_42954,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42949,c_134]) ).
tff(c_43094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42444,c_40728,c_42954,c_40715,c_28]) ).
tff(c_43095,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_42437]) ).
tff(c_43358,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_43099,c_43095]) ).
tff(c_43363,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43358,c_122]) ).
tff(c_43098,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42435,c_124]) ).
tff(c_43101,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42435,c_172]) ).
tff(c_43107,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_84]) ).
tff(c_43108,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_40715,c_43107]) ).
tff(c_43109,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_43108]) ).
tff(c_43114,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43109,c_176]) ).
tff(c_43171,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_766,c_43101,c_43114,c_6]) ).
tff(c_43175,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43171,c_170]) ).
tff(c_43217,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_43175,c_35794,c_40716,c_14]) ).
tff(c_43193,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40724,c_35788,c_765,c_82]) ).
tff(c_43194,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_43193]) ).
tff(c_43313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43217,c_42435,c_42435,c_43194,c_43217,c_42435,c_718]) ).
tff(c_43314,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_43108]) ).
tff(c_43351,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43314,c_156]) ).
tff(c_43437,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_43363,c_43098,c_43351,c_18]) ).
tff(c_43441,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43437,c_150]) ).
tff(c_43381,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42435,c_74]) ).
tff(c_43382,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_40729,c_198,c_43381]) ).
tff(c_43383,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_43382]) ).
tff(c_43386,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43383,c_112]) ).
tff(c_43456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43441,c_43386,c_35793,c_40717,c_10]) ).
tff(c_43457,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_43382]) ).
tff(c_43463,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43457,c_100]) ).
tff(c_43332,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40]) ).
tff(c_43333,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_43101,c_43332]) ).
tff(c_43334,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_43333]) ).
tff(c_43340,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43334,c_98]) ).
tff(c_43349,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43314,c_152]) ).
tff(c_43554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_43463,c_43340,c_43349,c_2]) ).
tff(c_43556,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_43333]) ).
tff(c_43579,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_767,c_43556,c_40713,c_4]) ).
tff(c_43583,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43579,c_160]) ).
tff(c_43601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43099,c_43583,c_43095]) ).
tff(c_43602,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_40723]) ).
tff(c_46440,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_35788,c_765,c_82]) ).
tff(c_46441,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_46440]) ).
tff(c_46447,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46441,c_144]) ).
tff(c_46434,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_130]) ).
tff(c_45037,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_35788,c_765,c_82]) ).
tff(c_45038,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_45037]) ).
tff(c_44106,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35794,c_70]) ).
tff(c_44107,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_44106]) ).
tff(c_44111,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44107,c_176]) ).
tff(c_44108,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44107,c_136]) ).
tff(c_44128,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44107,c_84]) ).
tff(c_44129,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_40715,c_44128]) ).
tff(c_44130,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_44129]) ).
tff(c_44133,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44130,c_140]) ).
tff(c_44143,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44108,c_44133,c_26]) ).
tff(c_44144,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_44143]) ).
tff(c_44160,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44144,c_154]) ).
tff(c_44120,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_132]) ).
tff(c_44165,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_44111,c_6]) ).
tff(c_44166,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_44165]) ).
tff(c_44121,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_128]) ).
tff(c_43604,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_43607,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43604,c_150]) ).
tff(c_43610,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43604,c_156]) ).
tff(c_43639,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43610,c_26]) ).
tff(c_43640,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_43639]) ).
tff(c_43646,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43640,c_154]) ).
tff(c_43702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43607,c_43646,c_35793,c_40717,c_10]) ).
tff(c_43703,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_43639]) ).
tff(c_43981,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_43703]) ).
tff(c_43986,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43981,c_140]) ).
tff(c_44003,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_35788,c_765,c_82]) ).
tff(c_44004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43986,c_196,c_194,c_200,c_44003]) ).
tff(c_44005,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_43703]) ).
tff(c_44013,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44005,c_152]) ).
tff(c_43705,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_40713,c_4]) ).
tff(c_43706,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_43705]) ).
tff(c_43617,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_132]) ).
tff(c_43711,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43706,c_102]) ).
tff(c_43726,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_43711,c_6]) ).
tff(c_43727,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_43726]) ).
tff(c_43808,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43727,c_74]) ).
tff(c_43809,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43617,c_198,c_43808]) ).
tff(c_43810,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_43809]) ).
tff(c_43814,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43810,c_178]) ).
tff(c_43820,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_43814,c_35794,c_40716,c_14]) ).
tff(c_43929,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43706,c_40710,c_40710,c_43820,c_43706,c_40710,c_736]) ).
tff(c_43930,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_43809]) ).
tff(c_43935,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43930,c_112]) ).
tff(c_43738,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_43703]) ).
tff(c_43743,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43738,c_140]) ).
tff(c_43777,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_35788,c_765,c_82]) ).
tff(c_43778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43743,c_196,c_194,c_200,c_43777]) ).
tff(c_43779,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_43703]) ).
tff(c_43954,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43779,c_43604,c_34]) ).
tff(c_43955,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_40717,c_43954]) ).
tff(c_43966,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43779,c_43604,c_43955,c_42]) ).
tff(c_43967,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_43935,c_196,c_43966]) ).
tff(c_43968,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_43726]) ).
tff(c_44041,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_43968,c_43706,c_40]) ).
tff(c_44042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_44013,c_44041]) ).
tff(c_44043,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_43705]) ).
tff(c_43609,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43604,c_122]) ).
tff(c_43624,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_43609,c_40714,c_20]) ).
tff(c_43625,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_43624]) ).
tff(c_43618,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_130]) ).
tff(c_43636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_43625,c_43618]) ).
tff(c_43637,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_43624]) ).
tff(c_44086,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43637,c_160]) ).
tff(c_44103,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44043,c_44086]) ).
tff(c_44104,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_44141,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44121,c_44104]) ).
tff(c_44142,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_44141]) ).
tff(c_44147,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44142,c_148]) ).
tff(c_44179,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44166,c_40]) ).
tff(c_44180,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_44179]) ).
tff(c_44181,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_44180]) ).
tff(c_44192,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44166,c_44181,c_36]) ).
tff(c_44193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_44147,c_44192]) ).
tff(c_44194,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_44180]) ).
tff(c_44216,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44166,c_44194,c_36]) ).
tff(c_44217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_40713,c_194,c_44216]) ).
tff(c_44218,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_44165]) ).
tff(c_44258,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44107,c_44218,c_74]) ).
tff(c_44259,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_44120,c_196,c_44258]) ).
tff(c_44263,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44259,c_112]) ).
tff(c_44268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44160,c_44263,c_35793,c_40717,c_10]) ).
tff(c_44269,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_44143]) ).
tff(c_44382,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44269,c_152]) ).
tff(c_44282,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_44111,c_6]) ).
tff(c_44283,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_44282]) ).
tff(c_44288,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44283,c_102]) ).
tff(c_44113,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44107,c_180]) ).
tff(c_44306,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_44142,c_72]) ).
tff(c_44307,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_44113,c_194,c_44306]) ).
tff(c_44310,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44307,c_160]) ).
tff(c_44354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_44288,c_44310,c_40713,c_4]) ).
tff(c_44355,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_44282]) ).
tff(c_44388,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44355,c_40]) ).
tff(c_44389,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_44388]) ).
tff(c_44390,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_44389]) ).
tff(c_44399,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44355,c_44390,c_44]) ).
tff(c_44400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_44382,c_44399]) ).
tff(c_44401,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_44389]) ).
tff(c_44270,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_44143]) ).
tff(c_44367,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44130,c_44107,c_96]) ).
tff(c_44368,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_44270,c_44367]) ).
tff(c_44440,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_44142,c_72]) ).
tff(c_44441,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_44113,c_194,c_44440]) ).
tff(c_44454,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_44441,c_44142,c_80]) ).
tff(c_44455,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_44454]) ).
tff(c_578,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_44568,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44401,c_44142,c_44142,c_44130,c_44368,c_44368,c_44130,c_44455,c_44455,c_44455,c_43602,c_43602,c_578]) ).
tff(c_44569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_204,c_44568]) ).
tff(c_44570,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_44141]) ).
tff(c_44574,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44570,c_148]) ).
tff(c_44577,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44570,c_122]) ).
tff(c_44584,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44130,c_44107,c_96]) ).
tff(c_44585,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_44584]) ).
tff(c_44586,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_44585]) ).
tff(c_44122,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_130]) ).
tff(c_44660,plain,
( ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44586,c_40710,c_58]) ).
tff(c_44661,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_44122,c_196,c_44660]) ).
tff(c_44698,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44586,c_40710,c_44661,c_54]) ).
tff(c_44699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_44577,c_194,c_198,c_44698]) ).
tff(c_44700,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_44585]) ).
tff(c_44711,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44]) ).
tff(c_44712,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_44711]) ).
tff(c_44713,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_44712]) ).
tff(c_44717,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44713,c_170]) ).
tff(c_44777,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_44717,c_35794,c_40716,c_14]) ).
tff(c_44788,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44107,c_44777,c_44713,c_66]) ).
tff(c_44789,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_44788]) ).
tff(c_44726,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_44122,c_44577,c_40714,c_20]) ).
tff(c_44737,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44713,c_40]) ).
tff(c_44738,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_44574,c_44737]) ).
tff(c_44766,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44726,c_40710,c_44738,c_58]) ).
tff(c_44767,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_44766]) ).
tff(c_44892,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44130,c_44700,c_44700,c_44789,c_44767,c_44767,c_40710,c_44107,c_44107,c_44789,c_43602,c_43602,c_714]) ).
tff(c_44893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_200,c_196,c_44892]) ).
tff(c_44894,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_44712]) ).
tff(c_44896,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_44894]) ).
tff(c_44932,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44700,c_44570,c_44896,c_34]) ).
tff(c_44933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_40717,c_196,c_44932]) ).
tff(c_44934,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_44894]) ).
tff(c_44962,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_44934,c_40]) ).
tff(c_44963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_44111,c_198,c_44574,c_44962]) ).
tff(c_44965,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_44129]) ).
tff(c_45012,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_35788,c_765,c_82]) ).
tff(c_45013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44965,c_196,c_194,c_200,c_45012]) ).
tff(c_45014,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_44106]) ).
tff(c_45050,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_45014]) ).
tff(c_45016,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_40714,c_20]) ).
tff(c_45017,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_45016]) ).
tff(c_45022,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45017,c_126]) ).
tff(c_45030,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_132]) ).
tff(c_45052,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45050,c_172]) ).
tff(c_45540,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_45022,c_45030,c_45052,c_22]) ).
tff(c_45617,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45050,c_45540,c_45540,c_45017,c_45050,c_45540,c_748]) ).
tff(c_45618,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_45014]) ).
tff(c_46086,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45618,c_74]) ).
tff(c_46087,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_46086]) ).
tff(c_46088,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_46087]) ).
tff(c_46092,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46088,c_138]) ).
tff(c_45630,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_40]) ).
tff(c_45631,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_45630]) ).
tff(c_45632,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_45631]) ).
tff(c_45624,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45618,c_172]) ).
tff(c_45643,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45632,c_45624]) ).
tff(c_45644,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_45631]) ).
tff(c_45648,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_45644]) ).
tff(c_45622,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45618,c_124]) ).
tff(c_45031,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_128]) ).
tff(c_45659,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_45622,c_45031,c_44104]) ).
tff(c_45023,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45017,c_168]) ).
tff(c_45890,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45038,c_96]) ).
tff(c_45891,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_45023,c_45890]) ).
tff(c_45892,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_45891]) ).
tff(c_45905,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45038,c_45892,c_92]) ).
tff(c_45906,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_45905]) ).
tff(c_45907,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_45906]) ).
tff(c_45911,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45907,c_164]) ).
tff(c_45654,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45648,c_98]) ).
tff(c_45916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_767,c_45911,c_45654,c_40713,c_4]) ).
tff(c_45918,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_45906]) ).
tff(c_45966,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_45023,c_45918,c_40715,c_28]) ).
tff(c_46056,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45648,c_45659,c_45659,c_40710,c_45966,c_45966,c_40710,c_45618,c_45618,c_45618,c_43602,c_43602,c_578]) ).
tff(c_46057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_198,c_46056]) ).
tff(c_46058,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_45644]) ).
tff(c_46138,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45017,c_40710,c_46058,c_58]) ).
tff(c_46139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46092,c_204,c_196,c_198,c_46138]) ).
tff(c_46140,plain,
( ( op(e2,e1) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_46087]) ).
tff(c_46154,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_46140]) ).
tff(c_46159,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46154,c_100]) ).
tff(c_46064,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46058,c_98]) ).
tff(c_46071,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_45622,c_45031,c_44104]) ).
tff(c_46075,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46071,c_148]) ).
tff(c_46209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_46159,c_46064,c_46075,c_2]) ).
tff(c_46210,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_46140]) ).
tff(c_46280,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_46210,c_40710,c_64]) ).
tff(c_46281,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_46280]) ).
tff(c_46211,plain,
op(e3,e1) != e1,
inference(splitRight,[status(thm)],[c_46140]) ).
tff(c_46305,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_46058,c_44]) ).
tff(c_46306,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_46211,c_198,c_46305]) ).
tff(c_45645,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_45631]) ).
tff(c_46319,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_766,c_46211,c_45645,c_6]) ).
tff(c_402,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_46426,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45038,c_46281,c_46281,c_45038,c_45017,c_45017,c_46306,c_46319,c_46319,c_45618,c_43602,c_43602,c_402]) ).
tff(c_46427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_196,c_198,c_46426]) ).
tff(c_46428,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_45016]) ).
tff(c_46474,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_46434,c_46428]) ).
tff(c_46478,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46474,c_122]) ).
tff(c_46433,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_128]) ).
tff(c_46485,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_46478,c_46433,c_44104]) ).
tff(c_46491,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46485,c_124]) ).
tff(c_46432,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43602,c_132]) ).
tff(c_46452,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_45014]) ).
tff(c_46499,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46452,c_74]) ).
tff(c_46500,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_46432,c_198,c_46499]) ).
tff(c_46501,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_46500]) ).
tff(c_46523,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46501,c_46452,c_66]) ).
tff(c_46524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46491,c_40716,c_194,c_46523]) ).
tff(c_46525,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_46500]) ).
tff(c_46538,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46525,c_46452,c_66]) ).
tff(c_46539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46447,c_46491,c_196,c_194,c_46538]) ).
tff(c_46540,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_45014]) ).
tff(c_46544,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46540,c_126]) ).
tff(c_46552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46544,c_46434,c_46428]) ).
tff(c_46553,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_40708]) ).
tff(c_49675,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_114]) ).
tff(c_49676,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_110]) ).
tff(c_51879,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49676,c_35793,c_10]) ).
tff(c_51880,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_51879]) ).
tff(c_51886,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51880,c_112]) ).
tff(c_51903,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_51886,c_49675,c_35794,c_14]) ).
tff(c_50317,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49676,c_35793,c_10]) ).
tff(c_50318,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_50317]) ).
tff(c_50322,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50318,c_150]) ).
tff(c_49681,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_49682,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_49681]) ).
tff(c_49686,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49682,c_174]) ).
tff(c_46559,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_158]) ).
tff(c_48094,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_46559,c_4]) ).
tff(c_48095,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_48094]) ).
tff(c_48100,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48095,c_98]) ).
tff(c_46555,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_766,c_6]) ).
tff(c_46556,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_46555]) ).
tff(c_46571,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46556,c_170]) ).
tff(c_46563,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_110]) ).
tff(c_47654,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_46563,c_35793,c_10]) ).
tff(c_47655,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_47654]) ).
tff(c_47659,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47655,c_150]) ).
tff(c_47061,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_47062,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_47061]) ).
tff(c_47066,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47062,c_126]) ).
tff(c_46560,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_162]) ).
tff(c_46579,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_46556,c_40]) ).
tff(c_46580,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_46579]) ).
tff(c_46581,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_46580]) ).
tff(c_46584,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46581,c_160]) ).
tff(c_47107,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_47066,c_46560,c_46584,c_20]) ).
tff(c_47067,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47062,c_174]) ).
tff(c_47086,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_47067,c_46571,c_35794,c_14]) ).
tff(c_47090,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47086,c_112]) ).
tff(c_47130,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_46563,c_35793,c_47090,c_10]) ).
tff(c_47235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47107,c_46553,c_46553,c_47130,c_47107,c_46553,c_764]) ).
tff(c_47237,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_47061]) ).
tff(c_46570,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46556,c_172]) ).
tff(c_46574,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46556,c_100]) ).
tff(c_46586,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46581,c_98]) ).
tff(c_46591,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_46657,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_46591,c_154]) ).
tff(c_46748,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_46657,c_46563,c_35793,c_10]) ).
tff(c_46752,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46748,c_146]) ).
tff(c_46817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_46574,c_46586,c_46752,c_2]) ).
tff(c_46818,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_46820,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_46818]) ).
tff(c_46828,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46820,c_152]) ).
tff(c_47043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_46574,c_46586,c_46828,c_2]) ).
tff(c_47044,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_46818]) ).
tff(c_47048,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_47044]) ).
tff(c_47056,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47048,c_156]) ).
tff(c_47413,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_47056,c_18]) ).
tff(c_47414,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_47413]) ).
tff(c_47053,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47048,c_140]) ).
tff(c_47269,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46556,c_70]) ).
tff(c_47270,plain,
( ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35794,c_198,c_47269]) ).
tff(c_47271,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_47270]) ).
tff(c_47276,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47271,c_180]) ).
tff(c_47236,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_47061]) ).
tff(c_47238,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_47236]) ).
tff(c_47347,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47238,c_72]) ).
tff(c_47348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35795,c_47276,c_46584,c_202,c_47347]) ).
tff(c_47350,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_47270]) ).
tff(c_46585,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46581,c_164]) ).
tff(c_47363,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47048,c_84]) ).
tff(c_47364,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_47363]) ).
tff(c_47365,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_47364]) ).
tff(c_47376,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47365,c_47048,c_88]) ).
tff(c_47377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_47350,c_46585,c_198,c_47376]) ).
tff(c_47379,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_47364]) ).
tff(c_47410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_47053,c_35796,c_47379,c_32]) ).
tff(c_47412,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_47236]) ).
tff(c_47426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47414,c_47412]) ).
tff(c_47427,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_47413]) ).
tff(c_47439,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_47427]) ).
tff(c_47444,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47439,c_148]) ).
tff(c_47478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_46574,c_46586,c_47444,c_2]) ).
tff(c_47479,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_47427]) ).
tff(c_47487,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47479,c_124]) ).
tff(c_47531,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_47237,c_46570,c_47487,c_22]) ).
tff(c_47535,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47531,c_174]) ).
tff(c_47492,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_768,c_46574,c_46586,c_2]) ).
tff(c_47496,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47492,c_146]) ).
tff(c_47543,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_46553,c_52]) ).
tff(c_47544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_47535,c_196,c_47496,c_47543]) ).
tff(c_47545,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_47044]) ).
tff(c_47554,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47545,c_156]) ).
tff(c_47690,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_47659,c_47554,c_18]) ).
tff(c_47691,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_47690]) ).
tff(c_47695,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47691,c_128]) ).
tff(c_47793,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_770,c_47695,c_35795,c_24]) ).
tff(c_46572,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46556,c_176]) ).
tff(c_46561,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_166]) ).
tff(c_47700,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47545,c_84]) ).
tff(c_47701,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_47700]) ).
tff(c_47702,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_47701]) ).
tff(c_47729,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47702,c_47545,c_92]) ).
tff(c_47730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46572,c_46561,c_198,c_47729]) ).
tff(c_47731,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_47701]) ).
tff(c_47733,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_47731]) ).
tff(c_47758,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47733,c_47545,c_92]) ).
tff(c_47759,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_46572,c_196,c_198,c_47758]) ).
tff(c_47868,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_47793,c_47759,c_47759,c_47545,c_47793,c_47759,c_754]) ).
tff(c_47869,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_47731]) ).
tff(c_47875,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47869,c_178]) ).
tff(c_47923,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_46553,c_47655,c_52]) ).
tff(c_47924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_47875,c_196,c_200,c_47923]) ).
tff(c_47925,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_47690]) ).
tff(c_47941,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47925,c_128]) ).
tff(c_47927,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47545,c_92]) ).
tff(c_47928,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_46572,c_46561,c_198,c_47927]) ).
tff(c_47959,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47928,c_35788,c_765,c_82]) ).
tff(c_47960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_47941,c_194,c_200,c_47959]) ).
tff(c_47961,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_47654]) ).
tff(c_47967,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47961,c_112]) ).
tff(c_48081,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_46571,c_35794,c_47967,c_14]) ).
tff(c_48085,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48081,c_178]) ).
tff(c_47560,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_770,c_80]) ).
tff(c_47561,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_47560]) ).
tff(c_47564,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47561,c_124]) ).
tff(c_47565,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47561,c_126]) ).
tff(c_47574,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_47565,c_46560,c_46584,c_20]) ).
tff(c_47579,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47574,c_122]) ).
tff(c_47605,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_47564,c_47554,c_47579,c_18]) ).
tff(c_47610,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_47605,c_128]) ).
tff(c_47566,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47561,c_174]) ).
tff(c_47596,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_47566,c_46571,c_35794,c_14]) ).
tff(c_47600,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47596,c_178]) ).
tff(c_47580,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47574,c_168]) ).
tff(c_47617,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47545,c_84]) ).
tff(c_47618,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_47600,c_47580,c_194,c_47617]) ).
tff(c_47650,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47618,c_35788,c_765,c_90]) ).
tff(c_47651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_47610,c_198,c_204,c_47650]) ).
tff(c_47652,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_47560]) ).
tff(c_47973,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_47652]) ).
tff(c_48030,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47545,c_47973,c_47961,c_42]) ).
tff(c_48031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_46574,c_48030]) ).
tff(c_48032,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_47652]) ).
tff(c_48039,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48032,c_168]) ).
tff(c_48033,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_47652]) ).
tff(c_47966,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47961,c_150]) ).
tff(c_48058,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_48033,c_47554,c_47966,c_18]) ).
tff(c_48063,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48058,c_128]) ).
tff(c_48068,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_48069,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_48063,c_198,c_204,c_48068]) ).
tff(c_48090,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48069,c_47545,c_96]) ).
tff(c_48091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_48085,c_48039,c_202,c_48090]) ).
tff(c_48092,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_46580]) ).
tff(c_48105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48100,c_48092]) ).
tff(c_48106,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_48094]) ).
tff(c_49242,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48106,c_164]) ).
tff(c_48373,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_46563,c_35793,c_10]) ).
tff(c_48374,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_48373]) ).
tff(c_48380,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48374,c_112]) ).
tff(c_49037,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_48380,c_46571,c_35794,c_14]) ).
tff(c_49042,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49037,c_178]) ).
tff(c_48398,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48106,c_164]) ).
tff(c_48388,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48092,c_152]) ).
tff(c_48403,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_46572,c_46561,c_92]) ).
tff(c_48404,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_48403]) ).
tff(c_48407,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48404,c_140]) ).
tff(c_48123,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48106,c_164]) ).
tff(c_48108,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_48129,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48108,c_84]) ).
tff(c_48130,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_48129]) ).
tff(c_48131,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_48130]) ).
tff(c_48185,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48131,c_48108,c_92]) ).
tff(c_48186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46572,c_46561,c_204,c_48185]) ).
tff(c_48187,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_48130]) ).
tff(c_48199,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_48123,c_48187]) ).
tff(c_48204,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48199,c_178]) ).
tff(c_48242,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_46571,c_35794,c_48204,c_14]) ).
tff(c_48275,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48199,c_48242,c_46556,c_70]) ).
tff(c_48276,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_48275]) ).
tff(c_48188,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_48130]) ).
tff(c_48251,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_771,c_35796,c_48188,c_32]) ).
tff(c_48261,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48251,c_35788,c_765,c_82]) ).
tff(c_48262,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_48261]) ).
tff(c_48370,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_48242,c_48276,c_48276,c_48262,c_48242,c_48276,c_718]) ).
tff(c_48371,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_48415,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_48388,c_48407,c_48371]) ).
tff(c_48428,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48404,c_48415,c_96]) ).
tff(c_48429,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_48428]) ).
tff(c_48430,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_48429]) ).
tff(c_48598,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_48092,c_48092,c_48092,c_48106,c_48106,c_48404,c_48430,c_48430,c_48404,c_765,c_765,c_230]) ).
tff(c_48599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_196,c_48598]) ).
tff(c_48600,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_48429]) ).
tff(c_48607,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48600,c_168]) ).
tff(c_48387,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48092,c_148]) ).
tff(c_48612,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35795,c_48387,c_72]) ).
tff(c_48613,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_48612]) ).
tff(c_48617,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48613,c_126]) ).
tff(c_48397,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48106,c_160]) ).
tff(c_48639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48607,c_46560,c_48617,c_48397,c_20]) ).
tff(c_48641,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_48612]) ).
tff(c_48672,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_48380,c_46571,c_35794,c_14]) ).
tff(c_48686,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48672,c_46556,c_70]) ).
tff(c_48687,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_48641,c_194,c_198,c_48686]) ).
tff(c_614,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_48809,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48092,c_48415,c_48415,c_48092,c_48106,c_48106,c_46553,c_48687,c_48687,c_48404,c_765,c_765,c_614]) ).
tff(c_48810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_196,c_48809]) ).
tff(c_48811,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_48403]) ).
tff(c_49082,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48811,c_84]) ).
tff(c_49083,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_49042,c_48398,c_196,c_49082]) ).
tff(c_48378,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48374,c_150]) ).
tff(c_48896,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48811,c_48374,c_48092,c_34]) ).
tff(c_48897,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_48896]) ).
tff(c_48812,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_48403]) ).
tff(c_48930,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_771,c_48812,c_35796,c_32]) ).
tff(c_48823,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_46560,c_48397,c_20]) ).
tff(c_48824,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_48823]) ).
tff(c_48911,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48824,c_46553,c_48106,c_54]) ).
tff(c_48912,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_48911]) ).
tff(c_48959,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48930,c_48912,c_48811,c_96]) ).
tff(c_48960,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_48959]) ).
tff(c_49033,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48092,c_48897,c_48897,c_48092,c_48106,c_48106,c_48930,c_48960,c_48960,c_46553,c_35788,c_35788,c_488]) ).
tff(c_49034,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_200,c_198,c_49033]) ).
tff(c_49035,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_48823]) ).
tff(c_49060,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49035,c_80]) ).
tff(c_49061,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_770,c_202,c_48378,c_49060]) ).
tff(c_384,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_49224,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49083,c_48374,c_48374,c_49061,c_46553,c_46553,c_49083,c_49061,c_49061,c_46553,c_35788,c_35788,c_384]) ).
tff(c_49225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_198,c_49224]) ).
tff(c_49226,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_48373]) ).
tff(c_49263,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49226,c_154]) ).
tff(c_49232,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48092,c_152]) ).
tff(c_49247,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_46572,c_46561,c_92]) ).
tff(c_49248,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_49247]) ).
tff(c_49251,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49248,c_140]) ).
tff(c_49281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49263,c_49232,c_49251,c_48371]) ).
tff(c_49282,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_49247]) ).
tff(c_49402,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49282,c_84]) ).
tff(c_49403,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_49242,c_196,c_49402]) ).
tff(c_49404,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_49403]) ).
tff(c_49299,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49226,c_112]) ).
tff(c_49465,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_46571,c_35794,c_49299,c_14]) ).
tff(c_49469,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49465,c_174]) ).
tff(c_49450,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49404,c_35788,c_765,c_90]) ).
tff(c_49451,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_49450]) ).
tff(c_49241,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48106,c_160]) ).
tff(c_49304,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_46560,c_49241,c_20]) ).
tff(c_49305,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_49304]) ).
tff(c_49309,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49305,c_122]) ).
tff(c_49290,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49282,c_156]) ).
tff(c_49230,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48092,c_148]) ).
tff(c_49298,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49226,c_150]) ).
tff(c_49388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49309,c_49290,c_49230,c_49298,c_18]) ).
tff(c_49389,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_49304]) ).
tff(c_49477,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49451,c_49389,c_80]) ).
tff(c_49478,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_49469,c_202,c_49477]) ).
tff(c_49396,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49389,c_126]) ).
tff(c_49501,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49465,c_46556,c_70]) ).
tff(c_49502,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_49396,c_202,c_198,c_49501]) ).
tff(c_492,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_49603,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49404,c_49478,c_49478,c_48092,c_48106,c_48106,c_46553,c_49502,c_49502,c_48092,c_49404,c_49404,c_492]) ).
tff(c_49604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_202,c_49603]) ).
tff(c_49606,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_49403]) ).
tff(c_49283,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_49247]) ).
tff(c_49607,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_49608,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_49283,c_198,c_204,c_49607]) ).
tff(c_49638,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49608,c_35788,c_765,c_82]) ).
tff(c_49639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49606,c_196,c_194,c_200,c_49638]) ).
tff(c_49640,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_46555]) ).
tff(c_49705,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_49640]) ).
tff(c_49786,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49682,c_49705,c_70]) ).
tff(c_49787,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_35794,c_194,c_49786]) ).
tff(c_49797,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49787,c_49682,c_49705,c_74]) ).
tff(c_49798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_49675,c_196,c_49797]) ).
tff(c_49799,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_49640]) ).
tff(c_49907,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49682,c_49799,c_74]) ).
tff(c_49908,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_49675,c_198,c_49907]) ).
tff(c_49913,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49908,c_144]) ).
tff(c_49693,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49676,c_35793,c_10]) ).
tff(c_49694,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_49693]) ).
tff(c_49699,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49694,c_154]) ).
tff(c_49823,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_49699,c_26]) ).
tff(c_49824,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_49823]) ).
tff(c_49828,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49824,c_140]) ).
tff(c_49688,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49682,c_180]) ).
tff(c_49827,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49824,c_136]) ).
tff(c_49804,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49799,c_176]) ).
tff(c_49848,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_82]) ).
tff(c_49849,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_49848]) ).
tff(c_49850,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_49849]) ).
tff(c_49855,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49850,c_144]) ).
tff(c_49867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49688,c_49827,c_49804,c_49855,c_30]) ).
tff(c_49868,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_49849]) ).
tff(c_49891,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49868,c_35788,c_765,c_90]) ).
tff(c_49892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49828,c_196,c_198,c_204,c_49891]) ).
tff(c_49893,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_49823]) ).
tff(c_49895,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_49893]) ).
tff(c_49900,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49895,c_140]) ).
tff(c_49956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_49913,c_35796,c_49900,c_32]) ).
tff(c_49957,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_49893]) ).
tff(c_49971,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_49686,c_49675,c_35794,c_14]) ).
tff(c_49975,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49971,c_178]) ).
tff(c_49805,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49799,c_102]) ).
tff(c_49642,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_767,c_4]) ).
tff(c_49643,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_49642]) ).
tff(c_49646,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_158]) ).
tff(c_49666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_49643,c_49646]) ).
tff(c_49667,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_49642]) ).
tff(c_49812,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_49805,c_49667]) ).
tff(c_49817,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49812,c_164]) ).
tff(c_50003,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_50004,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_50003]) ).
tff(c_50005,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_50004]) ).
tff(c_50015,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50005,c_49957,c_84]) ).
tff(c_50016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_49975,c_49817,c_194,c_50015]) ).
tff(c_50017,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_50004]) ).
tff(c_50055,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50017,c_35788,c_765,c_82]) ).
tff(c_50056,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_50055]) ).
tff(c_50027,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49682,c_49971,c_49799,c_74]) ).
tff(c_50028,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_50027]) ).
tff(c_50069,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50056,c_50028,c_49957,c_96]) ).
tff(c_50070,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_50069]) ).
tff(c_50040,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_49799,c_49812,c_44]) ).
tff(c_50041,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_50040]) ).
tff(c_50184,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_49957,c_49957,c_50056,c_50070,c_50070,c_46553,c_49799,c_49799,c_50041,c_50056,c_50056,c_692]) ).
tff(c_50185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_196,c_204,c_50184]) ).
tff(c_50186,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_49693]) ).
tff(c_50193,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50186,c_112]) ).
tff(c_50303,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49686,c_49675,c_35794,c_50193,c_14]) ).
tff(c_50304,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_49681]) ).
tff(c_50329,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_50322,c_50304]) ).
tff(c_50335,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50329,c_168]) ).
tff(c_50306,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_49667]) ).
tff(c_50311,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50306,c_102]) ).
tff(c_50340,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_50311,c_49640]) ).
tff(c_50519,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_50340,c_50306,c_44]) ).
tff(c_50520,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_50519]) ).
tff(c_50312,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50306,c_98]) ).
tff(c_50422,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50318,c_34]) ).
tff(c_50423,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_50312,c_50422]) ).
tff(c_50424,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_50423]) ).
tff(c_49674,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_166]) ).
tff(c_50452,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50424,c_92]) ).
tff(c_50453,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_49674,c_196,c_50452]) ).
tff(c_50454,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_50453]) ).
tff(c_50497,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50454,c_50424,c_96]) ).
tff(c_50498,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_50335,c_200,c_50497]) ).
tff(c_50611,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50520,c_50424,c_50424,c_50520,c_50306,c_50306,c_50454,c_50498,c_50498,c_50454,c_765,c_765,c_614]) ).
tff(c_50612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_50611]) ).
tff(c_50613,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_50453]) ).
tff(c_50627,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50613,c_50424,c_96]) ).
tff(c_50628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_771,c_204,c_50335,c_200,c_50627]) ).
tff(c_50629,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_50423]) ).
tff(c_50305,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_49681]) ).
tff(c_50344,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50340,c_172]) ).
tff(c_50352,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_82]) ).
tff(c_50353,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_50352]) ).
tff(c_50354,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_50353]) ).
tff(c_50357,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50354,c_140]) ).
tff(c_50365,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50318,c_34]) ).
tff(c_50366,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_50357,c_200,c_50312,c_50365]) ).
tff(c_50370,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50366,c_124]) ).
tff(c_50380,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_50305,c_50344,c_50370,c_22]) ).
tff(c_50403,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50380,c_50329,c_50366,c_72]) ).
tff(c_50404,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35795,c_198,c_202,c_194,c_50403]) ).
tff(c_50405,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_50353]) ).
tff(c_50634,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50405,c_128]) ).
tff(c_50649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50629,c_50634]) ).
tff(c_50650,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_50317]) ).
tff(c_51796,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50650,c_154]) ).
tff(c_51152,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_49674,c_92]) ).
tff(c_51153,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_51152]) ).
tff(c_51314,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51153,c_35788,c_765,c_82]) ).
tff(c_51315,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_51314]) ).
tff(c_51169,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50650,c_154]) ).
tff(c_51156,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51153,c_140]) ).
tff(c_50697,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_50311,c_49640]) ).
tff(c_50668,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50650,c_112]) ).
tff(c_50763,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_49675,c_35794,c_50668,c_14]) ).
tff(c_50773,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50763,c_50697,c_74]) ).
tff(c_50774,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_50773]) ).
tff(c_50775,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_50774]) ).
tff(c_50780,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50775,c_180]) ).
tff(c_50701,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50697,c_172]) ).
tff(c_50821,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_50305,c_50780,c_50701,c_22]) ).
tff(c_50652,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_50658,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50652,c_156]) ).
tff(c_50686,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_50658,c_50304]) ).
tff(c_50898,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_50697,c_50821,c_50821,c_50686,c_50697,c_50821,c_748]) ).
tff(c_50899,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_50774]) ).
tff(c_50903,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50899,c_132]) ).
tff(c_50310,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50306,c_164]) ).
tff(c_50674,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50652,c_84]) ).
tff(c_50675,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_50310,c_200,c_50674]) ).
tff(c_50676,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_50675]) ).
tff(c_50931,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50676,c_35788,c_765,c_90]) ).
tff(c_50932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_50903,c_198,c_204,c_50931]) ).
tff(c_50934,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_50675]) ).
tff(c_50978,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_50979,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_50978]) ).
tff(c_50980,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_50979]) ).
tff(c_50955,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_50311,c_49640]) ).
tff(c_51002,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_50955,c_50306,c_44]) ).
tff(c_51003,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_51002]) ).
tff(c_50933,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_50675]) ).
tff(c_51131,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50980,c_50652,c_50652,c_51003,c_50306,c_50306,c_51003,c_50933,c_50933,c_50980,c_765,c_765,c_614]) ).
tff(c_51132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_51131]) ).
tff(c_51133,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_50979]) ).
tff(c_51148,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51133,c_35788,c_765,c_82]) ).
tff(c_51149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50934,c_196,c_194,c_200,c_51148]) ).
tff(c_51150,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_51280,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_51169,c_51156,c_51150]) ).
tff(c_51425,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51315,c_51153,c_51153,c_51280,c_51315,c_51153,c_754]) ).
tff(c_51426,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_51152]) ).
tff(c_51827,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_51426]) ).
tff(c_51427,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_51152]) ).
tff(c_51802,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_51803,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_51427,c_198,c_204,c_51802]) ).
tff(c_51806,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51803,c_132]) ).
tff(c_51813,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_50311,c_49640]) ).
tff(c_51828,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51813,c_74]) ).
tff(c_51829,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_51806,c_49675,c_198,c_51828]) ).
tff(c_51831,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51829,c_136]) ).
tff(c_51851,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51827,c_51831]) ).
tff(c_51852,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_51426]) ).
tff(c_51446,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50650,c_112]) ).
tff(c_51428,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_50310,c_84]) ).
tff(c_51429,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_51428]) ).
tff(c_51464,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_50304]) ).
tff(c_51475,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_50311,c_49640]) ).
tff(c_51545,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_51475,c_50306,c_44]) ).
tff(c_51546,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_51545]) ).
tff(c_51488,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_51426]) ).
tff(c_51493,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51488,c_152]) ).
tff(c_51504,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_765,c_51475,c_50306,c_44]) ).
tff(c_51505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_51493,c_51504]) ).
tff(c_51506,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_51426]) ).
tff(c_51513,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51506,c_180]) ).
tff(c_51479,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51475,c_172]) ).
tff(c_51586,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_50305,c_51513,c_51479,c_22]) ).
tff(c_51680,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51429,c_51464,c_51464,c_51546,c_50306,c_50306,c_51586,c_51506,c_51506,c_51546,c_51429,c_51429,c_492]) ).
tff(c_51681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_200,c_204,c_51680]) ).
tff(c_51682,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_50304]) ).
tff(c_51687,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51682,c_122]) ).
tff(c_51432,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51429,c_140]) ).
tff(c_51452,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49675,c_35794,c_14]) ).
tff(c_51453,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_51452]) ).
tff(c_51458,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51453,c_178]) ).
tff(c_51689,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51682,c_168]) ).
tff(c_51707,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_51426]) ).
tff(c_51733,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51429,c_51707,c_96]) ).
tff(c_51734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_51458,c_51689,c_204,c_51733]) ).
tff(c_51736,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_51426]) ).
tff(c_51747,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_51432,c_51736,c_51150]) ).
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_51760,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51747,c_50650,c_46]) ).
tff(c_51761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_51687,c_200,c_768,c_51760]) ).
tff(c_51762,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_51452]) ).
tff(c_51776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51446,c_51762]) ).
tff(c_51777,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_51428]) ).
tff(c_51864,plain,
( ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51852,c_51777]) ).
tff(c_51865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51796,c_196,c_51864]) ).
tff(c_51866,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_49667]) ).
tff(c_51872,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51866,c_102]) ).
tff(c_51891,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_51872,c_49640]) ).
tff(c_51896,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51891,c_170]) ).
tff(c_51914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51903,c_51896]) ).
tff(c_51915,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_51879]) ).
tff(c_51923,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51915,c_112]) ).
tff(c_51940,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_49675,c_35794,c_51923,c_14]) ).
tff(c_51946,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51940,c_178]) ).
tff(c_51928,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_49674,c_92]) ).
tff(c_51929,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_51928]) ).
tff(c_52008,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_51872,c_49640]) ).
tff(c_52013,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52008,c_176]) ).
tff(c_51922,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51915,c_154]) ).
tff(c_52032,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51929,c_84]) ).
tff(c_52033,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_52013,c_51922,c_52032]) ).
tff(c_51934,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51929,c_144]) ).
tff(c_51932,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51929,c_140]) ).
tff(c_52043,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_51932,c_51922,c_26]) ).
tff(c_52044,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_52043]) ).
tff(c_52012,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52008,c_172]) ).
tff(c_52056,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50305,c_52012,c_22]) ).
tff(c_52057,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_52056]) ).
tff(c_52085,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52057,c_51940,c_52008,c_70]) ).
tff(c_52086,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_52085]) ).
tff(c_52186,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51929,c_52044,c_52044,c_46553,c_51866,c_51866,c_46553,c_52086,c_52086,c_51929,c_765,c_765,c_614]) ).
tff(c_52187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_52186]) ).
tff(c_52188,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_52056]) ).
tff(c_52205,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52188,c_51940,c_52008,c_74]) ).
tff(c_52206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51934,c_198,c_204,c_196,c_52205]) ).
tff(c_52207,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_52043]) ).
tff(c_52241,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51929,c_52033,c_52207,c_96]) ).
tff(c_52242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_51946,c_200,c_202,c_52241]) ).
tff(c_52244,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_51928]) ).
tff(c_52243,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_51928]) ).
tff(c_52256,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_52243]) ).
tff(c_52259,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52256,c_136]) ).
tff(c_52387,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_82]) ).
tff(c_52388,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_52387]) ).
tff(c_52389,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_52388]) ).
tff(c_52423,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52389,c_35788,c_765,c_90]) ).
tff(c_52424,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_52423]) ).
tff(c_52428,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52424,c_132]) ).
tff(c_52245,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_49675,c_35794,c_51923,c_14]) ).
tff(c_52410,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_51872,c_49640]) ).
tff(c_52438,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52245,c_52410,c_74]) ).
tff(c_52439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52259,c_52428,c_204,c_196,c_52438]) ).
tff(c_52440,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_52388]) ).
tff(c_52502,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52440,c_35788,c_765,c_90]) ).
tff(c_52503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52244,c_196,c_198,c_204,c_52502]) ).
tff(c_52504,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_52243]) ).
tff(c_52539,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_51872,c_49640]) ).
tff(c_52654,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52504,c_52245,c_52539,c_70]) ).
tff(c_52655,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_52654]) ).
tff(c_52505,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_52243]) ).
tff(c_52516,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_52505,c_51922,c_26]) ).
tff(c_52517,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_52516]) ).
tff(c_52523,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52517,c_156]) ).
tff(c_52594,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52517,c_51915,c_42]) ).
tff(c_52595,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_52594]) ).
tff(c_52596,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_52595]) ).
tff(c_52599,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52596,c_148]) ).
tff(c_51873,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51866,c_98]) ).
tff(c_51920,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51915,c_146]) ).
tff(c_52633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_768,c_52599,c_51873,c_51920,c_2]) ).
tff(c_52635,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_52595]) ).
tff(c_51921,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51915,c_150]) ).
tff(c_52644,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_52523,c_52635,c_51921,c_18]) ).
tff(c_52649,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52644,c_124]) ).
tff(c_52665,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_52655,c_52649]) ).
tff(c_52666,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_52516]) ).
tff(c_52690,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52504,c_52666,c_84]) ).
tff(c_52691,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_52690]) ).
tff(c_52692,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_52691]) ).
tff(c_52689,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_50304]) ).
tff(c_51870,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51866,c_160]) ).
tff(c_52712,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52689,c_72]) ).
tff(c_52713,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_35795,c_51870,c_202,c_52712]) ).
tff(c_52735,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52666,c_52689,c_51915,c_42]) ).
tff(c_52736,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_52735]) ).
tff(c_52865,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52692,c_52689,c_52689,c_46553,c_51866,c_51866,c_52713,c_52504,c_52504,c_52736,c_52692,c_52692,c_492]) ).
tff(c_52866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_202,c_204,c_52865]) ).
tff(c_52867,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_52691]) ).
tff(c_52887,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52867,c_168]) ).
tff(c_52874,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52689,c_122]) ).
tff(c_49673,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46553,c_162]) ).
tff(c_52879,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_49673,c_51870,c_20]) ).
tff(c_52880,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_52879]) ).
tff(c_52881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52874,c_52880]) ).
tff(c_52882,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_52879]) ).
tff(c_52892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52887,c_52882]) ).
tff(c_52894,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_50304]) ).
tff(c_52977,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35788,c_765,c_90]) ).
tff(c_52978,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_52244,c_198,c_204,c_52977]) ).
tff(c_52982,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_52978,c_128]) ).
tff(c_52673,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52666,c_156]) ).
tff(c_53004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52894,c_52982,c_52673,c_51921,c_18]) ).
tff(c_53005,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_8]) ).
tff(c_53007,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_53005]) ).
tff(c_53009,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_108]) ).
tff(c_72084,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53009,c_6]) ).
tff(c_72085,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_72084]) ).
tff(c_72089,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_176]) ).
tff(c_72087,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_172]) ).
tff(c_72091,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_100]) ).
tff(c_72098,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_72122,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_96]) ).
tff(c_72123,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_72089,c_72122]) ).
tff(c_72124,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_72123]) ).
tff(c_72129,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72124,c_168]) ).
tff(c_72128,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72124,c_166]) ).
tff(c_72088,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_170]) ).
tff(c_53012,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_182]) ).
tff(c_53019,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_53024,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_186]) ).
tff(c_53025,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_190]) ).
tff(c_53023,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_120]) ).
tff(c_53021,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_118]) ).
tff(c_53030,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53021,c_12]) ).
tff(c_53031,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_53030]) ).
tff(c_53034,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_162]) ).
tff(c_53022,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_116]) ).
tff(c_53037,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_110]) ).
tff(c_53035,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_166]) ).
tff(c_53014,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_188]) ).
tff(c_55959,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53025,c_53014,c_32]) ).
tff(c_55960,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_55959]) ).
tff(c_55964,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55960,c_192]) ).
tff(c_54242,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53025,c_53014,c_32]) ).
tff(c_54243,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_54242]) ).
tff(c_54248,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54243,c_192]) ).
tff(c_53043,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53009,c_6]) ).
tff(c_53044,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_53043]) ).
tff(c_53059,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53044,c_102]) ).
tff(c_53033,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_158]) ).
tff(c_53010,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_106]) ).
tff(c_53634,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_53059,c_53033,c_53010,c_4]) ).
tff(c_53254,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_53007,c_90]) ).
tff(c_53255,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_53254]) ).
tff(c_53256,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_53255]) ).
tff(c_53260,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53256,c_192]) ).
tff(c_53013,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_184]) ).
tff(c_53269,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53024,c_53260,c_53013,c_24]) ).
tff(c_53036,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_114]) ).
tff(c_53205,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_14]) ).
tff(c_53206,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_53205]) ).
tff(c_53210,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53206,c_112]) ).
tff(c_53042,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_26]) ).
tff(c_53048,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_152]) ).
tff(c_53050,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_156]) ).
tff(c_53065,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53050,c_18]) ).
tff(c_53066,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_53065]) ).
tff(c_53068,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53066,c_148]) ).
tff(c_53142,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_53059,c_53033,c_53010,c_4]) ).
tff(c_53147,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53142,c_98]) ).
tff(c_53011,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_104]) ).
tff(c_53180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53048,c_53068,c_53147,c_53011,c_2]) ).
tff(c_53181,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_53065]) ).
tff(c_53183,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_53181]) ).
tff(c_53188,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53183,c_150]) ).
tff(c_53218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_53210,c_53188,c_10]) ).
tff(c_53219,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_53205]) ).
tff(c_53225,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53219,c_178]) ).
tff(c_53243,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_84]) ).
tff(c_53244,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_53014,c_53225,c_200,c_53243]) ).
tff(c_53401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53269,c_53256,c_53256,c_53244,c_53269,c_53256,c_742]) ).
tff(c_53402,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_53255]) ).
tff(c_53406,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53402,c_132]) ).
tff(c_53573,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53219,c_53044,c_74]) ).
tff(c_53574,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_53406,c_196,c_204,c_53573]) ).
tff(c_53465,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_53188,c_10]) ).
tff(c_53429,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53244,c_53042,c_88]) ).
tff(c_53430,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_53429]) ).
tff(c_53431,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_53430]) ).
tff(c_53190,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53183,c_122]) ).
tff(c_53231,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53034,c_53190,c_20]) ).
tff(c_53232,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_53231]) ).
tff(c_53440,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53219,c_53044,c_74]) ).
tff(c_53441,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_53406,c_196,c_204,c_53440]) ).
tff(c_53452,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53441,c_53219,c_53044,c_70]) ).
tff(c_53453,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_53452]) ).
tff(c_428,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_53569,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_53465,c_53465,c_53431,c_53232,c_53232,c_53453,c_53441,c_53441,c_53031,c_53431,c_53431,c_428]) ).
tff(c_53570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_202,c_204,c_53569]) ).
tff(c_53571,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_53430]) ).
tff(c_53583,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_53574,c_53571]) ).
tff(c_53584,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_53583]) ).
tff(c_53585,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_53231]) ).
tff(c_53590,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53585,c_160]) ).
tff(c_53195,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53048,c_53011,c_2]) ).
tff(c_53196,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_53195]) ).
tff(c_53621,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_53044,c_53196,c_40]) ).
tff(c_53622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_53590,c_198,c_53621]) ).
tff(c_53623,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_53195]) ).
tff(c_53629,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53623,c_98]) ).
tff(c_53645,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53634,c_53629]) ).
tff(c_53646,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_53181]) ).
tff(c_53652,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53646,c_150]) ).
tff(c_53046,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_136]) ).
tff(c_53809,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_53007,c_90]) ).
tff(c_53810,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_53809]) ).
tff(c_53811,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_53810]) ).
tff(c_53814,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53811,c_144]) ).
tff(c_53796,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_14]) ).
tff(c_53797,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_53796]) ).
tff(c_53804,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53797,c_178]) ).
tff(c_53709,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_53059,c_53033,c_53010,c_4]) ).
tff(c_53714,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53709,c_164]) ).
tff(c_53698,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_53007,c_90]) ).
tff(c_53699,plain,
( ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_53698]) ).
tff(c_53700,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_53699]) ).
tff(c_53672,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_84]) ).
tff(c_53673,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_53014,c_200,c_53672]) ).
tff(c_53674,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_53673]) ).
tff(c_53753,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53700,c_53674,c_53042,c_88]) ).
tff(c_53754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_53714,c_202,c_53753]) ).
tff(c_53755,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_53699]) ).
tff(c_53760,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53755,c_132]) ).
tff(c_53678,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53674,c_178]) ).
tff(c_53688,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_53678,c_14]) ).
tff(c_53778,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53674,c_53688,c_53044,c_74]) ).
tff(c_53779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_53760,c_198,c_204,c_53778]) ).
tff(c_53781,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_53673]) ).
tff(c_53832,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53046,c_53814,c_53804,c_53781,c_30]) ).
tff(c_53834,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_53810]) ).
tff(c_53880,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_53834,c_53014,c_32]) ).
tff(c_53056,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53044,c_172]) ).
tff(c_53653,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53646,c_124]) ).
tff(c_53835,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53056,c_53653,c_22]) ).
tff(c_53836,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_53835]) ).
tff(c_53839,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53836,c_132]) ).
tff(c_53833,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_53810]) ).
tff(c_53846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53839,c_53833]) ).
tff(c_53847,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_53835]) ).
tff(c_628,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_54010,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53880,c_53042,c_53042,c_53847,c_53031,c_53031,c_53880,c_53044,c_53044,c_53031,c_53880,c_53880,c_628]) ).
tff(c_54011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_194,c_204,c_54010]) ).
tff(c_54012,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_53796]) ).
tff(c_54041,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_54012,c_53031,c_56]) ).
tff(c_54042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_53652,c_54041]) ).
tff(c_54043,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_53043]) ).
tff(c_54055,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_54043]) ).
tff(c_54060,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54055,c_176]) ).
tff(c_54048,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_152]) ).
tff(c_54050,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_156]) ).
tff(c_54156,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_54050,c_18]) ).
tff(c_54157,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_54156]) ).
tff(c_54159,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54157,c_148]) ).
tff(c_54062,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54055,c_100]) ).
tff(c_54239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54048,c_54159,c_54062,c_53011,c_2]) ).
tff(c_54240,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_54156]) ).
tff(c_54253,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_54240]) ).
tff(c_54270,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54253,c_122]) ).
tff(c_54067,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53034,c_20]) ).
tff(c_54068,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_54067]) ).
tff(c_54072,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54068,c_160]) ).
tff(c_54141,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_54048,c_54062,c_53011,c_2]) ).
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_54152,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_54055,c_54141,c_48]) ).
tff(c_54153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_54072,c_204,c_54152]) ).
tff(c_54154,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_54067]) ).
tff(c_54275,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_54270,c_54154]) ).
tff(c_54282,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54275,c_168]) ).
tff(c_54329,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54243,c_53042,c_88]) ).
tff(c_54330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_54060,c_54282,c_202,c_54329]) ).
tff(c_54331,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_54240]) ).
tff(c_54346,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54331,c_128]) ).
tff(c_54402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_54248,c_54346,c_53013,c_24]) ).
tff(c_54403,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_54242]) ).
tff(c_54473,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_54048,c_54062,c_53011,c_2]) ).
tff(c_54059,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54055,c_170]) ).
tff(c_54405,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_54059,c_14]) ).
tff(c_54411,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54405,c_178]) ).
tff(c_54500,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54403,c_53042,c_84]) ).
tff(c_54501,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_54411,c_200,c_54500]) ).
tff(c_54463,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54403,c_53019,c_53007,c_90]) ).
tff(c_54464,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_54463]) ).
tff(c_54428,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_54240]) ).
tff(c_54435,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54428,c_122]) ).
tff(c_54440,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_54435,c_54154]) ).
tff(c_54490,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54464,c_54440,c_54428,c_80]) ).
tff(c_54491,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_54490]) ).
tff(c_54625,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54403,c_53042,c_53042,c_54473,c_54501,c_54501,c_54403,c_54491,c_54491,c_54473,c_53007,c_53007,c_702]) ).
tff(c_54626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_196,c_54625]) ).
tff(c_54627,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_54240]) ).
tff(c_54633,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54627,c_150]) ).
tff(c_54410,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54405,c_112]) ).
tff(c_54676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_54633,c_54410,c_10]) ).
tff(c_54677,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_54043]) ).
tff(c_54681,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54677,c_172]) ).
tff(c_54691,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_14]) ).
tff(c_54692,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_54691]) ).
tff(c_54696,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54692,c_112]) ).
tff(c_54685,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54677,c_100]) ).
tff(c_55095,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_54677,c_40]) ).
tff(c_55096,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_55095]) ).
tff(c_55097,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_55096]) ).
tff(c_55102,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55097,c_98]) ).
tff(c_55119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54048,c_54685,c_55102,c_53011,c_2]) ).
tff(c_55120,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_55096]) ).
tff(c_55125,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55120,c_148]) ).
tff(c_54046,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_136]) ).
tff(c_54683,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54677,c_176]) ).
tff(c_54697,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54692,c_178]) ).
tff(c_54045,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_134]) ).
tff(c_54714,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_54677,c_40]) ).
tff(c_54715,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_54714]) ).
tff(c_54716,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_54715]) ).
tff(c_54721,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54716,c_98]) ).
tff(c_54760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54048,c_54685,c_54721,c_53011,c_2]) ).
tff(c_54762,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_54715]) ).
tff(c_54787,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_53033,c_54762,c_53010,c_4]) ).
tff(c_54791,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54787,c_160]) ).
tff(c_54695,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54692,c_174]) ).
tff(c_54702,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_54050,c_18]) ).
tff(c_54703,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_54702]) ).
tff(c_54774,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54703,c_72]) ).
tff(c_54775,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54695,c_198,c_54774]) ).
tff(c_54776,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_54775]) ).
tff(c_54781,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54776,c_130]) ).
tff(c_54782,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54776,c_192]) ).
tff(c_54805,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_54782,c_53014,c_32]) ).
tff(c_54819,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54805,c_53042,c_84]) ).
tff(c_54820,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_54819]) ).
tff(c_54821,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_54820]) ).
tff(c_54878,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54805,c_54821,c_53042,c_88]) ).
tff(c_54879,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_54878]) ).
tff(c_54845,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54821,c_54692,c_54677,c_78]) ).
tff(c_54846,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_54845]) ).
tff(c_54968,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54805,c_53042,c_53042,c_53031,c_54879,c_54879,c_54846,c_54677,c_54677,c_54805,c_53019,c_53019,c_688]) ).
tff(c_54969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_198,c_54968]) ).
tff(c_54970,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_54820]) ).
tff(c_54975,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54970,c_168]) ).
tff(c_55000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54791,c_53034,c_54781,c_54975,c_20]) ).
tff(c_55001,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_54775]) ).
tff(c_55007,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55001,c_168]) ).
tff(c_55020,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_92]) ).
tff(c_55021,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_54683,c_53035,c_204,c_55020]) ).
tff(c_55062,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55021,c_53042,c_84]) ).
tff(c_55063,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_55062]) ).
tff(c_55064,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_55063]) ).
tff(c_55068,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55064,c_138]) ).
tff(c_55081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54045,c_53035,c_55007,c_55068,c_28]) ).
tff(c_55083,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_55063]) ).
tff(c_55092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54046,c_54683,c_54697,c_55083,c_30]) ).
tff(c_55093,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_54702]) ).
tff(c_55132,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_55125,c_55093]) ).
tff(c_55137,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55132,c_150]) ).
tff(c_55290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_54696,c_55137,c_10]) ).
tff(c_55291,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_54691]) ).
tff(c_55297,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55291,c_178]) ).
tff(c_55303,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53042,c_88]) ).
tff(c_55304,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_55303]) ).
tff(c_55305,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_55304]) ).
tff(c_55338,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55305,c_53042,c_84]) ).
tff(c_55339,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_55297,c_200,c_55338]) ).
tff(c_55375,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55305,c_55339,c_53042,c_92]) ).
tff(c_55376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_54683,c_196,c_204,c_55375]) ).
tff(c_55377,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_55304]) ).
tff(c_55379,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_55377]) ).
tff(c_55450,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55379,c_53042,c_92]) ).
tff(c_55451,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_54683,c_198,c_204,c_55450]) ).
tff(c_55460,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55451,c_55379,c_53042,c_84]) ).
tff(c_55461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_55297,c_194,c_200,c_55460]) ).
tff(c_55462,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_55377]) ).
tff(c_55469,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55462,c_180]) ).
tff(c_55295,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55291,c_174]) ).
tff(c_55591,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_54681,c_55469,c_55295,c_22]) ).
tff(c_55596,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55591,c_126]) ).
tff(c_55474,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53024,c_53013,c_24]) ).
tff(c_55475,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_55474]) ).
tff(c_55481,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_55475,c_192]) ).
tff(c_55378,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_55304]) ).
tff(c_55552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53025,c_55481,c_55378,c_53014,c_32]) ).
tff(c_55553,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_55474]) ).
tff(c_55559,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55553,c_130]) ).
tff(c_55619,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55553,c_53019,c_53007,c_90]) ).
tff(c_55620,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_55619]) ).
tff(c_55648,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55620,c_55462,c_53042,c_84]) ).
tff(c_55649,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_55648]) ).
tff(c_55653,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55649,c_168]) ).
tff(c_55658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55596,c_53034,c_55559,c_55653,c_20]) ).
tff(c_55659,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_26]) ).
tff(c_55661,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_55659]) ).
tff(c_55667,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55661,c_154]) ).
tff(c_55686,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_55667,c_10]) ).
tff(c_55691,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55686,c_150]) ).
tff(c_55699,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_55691,c_72]) ).
tff(c_55700,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_55699]) ).
tff(c_55706,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55700,c_192]) ).
tff(c_55711,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_55706,c_53014,c_32]) ).
tff(c_55673,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55661,c_96]) ).
tff(c_55674,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53025,c_200,c_55673]) ).
tff(c_55675,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_55674]) ).
tff(c_55768,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55711,c_55675,c_55661,c_88]) ).
tff(c_55769,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_55768]) ).
tff(c_55933,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_55686,c_55686,c_53031,c_55769,c_55769,c_55711,c_55675,c_55675,c_55711,c_53019,c_53019,c_456]) ).
tff(c_55934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_204,c_198,c_55933]) ).
tff(c_55936,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_55699]) ).
tff(c_56002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_55964,c_55936,c_53013,c_24]) ).
tff(c_56003,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_55959]) ).
tff(c_56024,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56003,c_55675,c_55661,c_92]) ).
tff(c_56025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_53035,c_196,c_56024]) ).
tff(c_56026,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_55674]) ).
tff(c_56033,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56026,c_164]) ).
tff(c_56844,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_56033,c_53033,c_53010,c_4]) ).
tff(c_56032,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56026,c_168]) ).
tff(c_56038,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_55667,c_10]) ).
tff(c_56042,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56038,c_146]) ).
tff(c_56049,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56042,c_53011,c_2]) ).
tff(c_56050,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_56049]) ).
tff(c_56053,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56050,c_148]) ).
tff(c_56043,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56038,c_150]) ).
tff(c_56074,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56043,c_72]) ).
tff(c_56075,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_56074]) ).
tff(c_56081,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56075,c_192]) ).
tff(c_56088,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_56081,c_53014,c_32]) ).
tff(c_56153,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56088,c_56026,c_55661,c_88]) ).
tff(c_56154,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_56153]) ).
tff(c_56123,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55661,c_56038,c_56050,c_42]) ).
tff(c_56124,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_56123]) ).
tff(c_56134,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56075,c_56124,c_80]) ).
tff(c_56135,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_56032,c_204,c_56134]) ).
tff(c_56080,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56075,c_130]) ).
tff(c_56166,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_56032,c_53034,c_56080,c_20]) ).
tff(c_56249,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56154,c_56135,c_56135,c_56166,c_56154,c_56135,c_746]) ).
tff(c_56250,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_56074]) ).
tff(c_56252,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_56250]) ).
tff(c_56257,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56252,c_160]) ).
tff(c_56307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56033,c_53033,c_56257,c_53010,c_4]) ).
tff(c_56308,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_56250]) ).
tff(c_56344,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56308,c_80]) ).
tff(c_56345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_202,c_56032,c_56053,c_56344]) ).
tff(c_56346,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_56049]) ).
tff(c_56826,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56346,c_100]) ).
tff(c_56044,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56038,c_112]) ).
tff(c_56687,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_56044,c_14]) ).
tff(c_56571,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_56044,c_14]) ).
tff(c_56575,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56571,c_174]) ).
tff(c_55668,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55661,c_156]) ).
tff(c_56369,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56043,c_72]) ).
tff(c_56370,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_56369]) ).
tff(c_56405,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56370,c_53019,c_53007,c_90]) ).
tff(c_56406,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_56405]) ).
tff(c_56348,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53009,c_6]) ).
tff(c_56349,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_56348]) ).
tff(c_56351,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56349,c_172]) ).
tff(c_56373,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56370,c_132]) ).
tff(c_56383,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_56044,c_14]) ).
tff(c_56387,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56383,c_174]) ).
tff(c_56475,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_56351,c_56373,c_56387,c_22]) ).
tff(c_56554,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56346,c_55661,c_55661,c_56406,c_56026,c_56026,c_56406,c_56349,c_56349,c_56475,c_56406,c_56406,c_692]) ).
tff(c_56555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_204,c_56554]) ).
tff(c_56556,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_56369]) ).
tff(c_56558,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_56556]) ).
tff(c_56636,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56558,c_68]) ).
tff(c_56637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53013,c_56575,c_194,c_55668,c_56636]) ).
tff(c_56638,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_56556]) ).
tff(c_56363,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56346,c_148]) ).
tff(c_56735,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_56363,c_56043,c_55668,c_18]) ).
tff(c_56819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56687,c_56638,c_56638,c_56735,c_56687,c_56638,c_760]) ).
tff(c_56820,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_56348]) ).
tff(c_56832,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_56826,c_56820]) ).
tff(c_56839,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56832,c_102]) ).
tff(c_56854,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56844,c_56839]) ).
tff(c_56855,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_55659]) ).
tff(c_56857,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_56855]) ).
tff(c_56863,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56857,c_152]) ).
tff(c_56870,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56863,c_53011,c_2]) ).
tff(c_56871,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_56870]) ).
tff(c_56902,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56871,c_98]) ).
tff(c_56862,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56857,c_140]) ).
tff(c_56908,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_53007,c_90]) ).
tff(c_56909,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_56862,c_204,c_196,c_56908]) ).
tff(c_56865,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56857,c_156]) ).
tff(c_56872,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56865,c_18]) ).
tff(c_56873,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_56872]) ).
tff(c_56876,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56871,c_148]) ).
tff(c_56894,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_56873,c_56876]) ).
tff(c_56895,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_56872]) ).
tff(c_56907,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_56895]) ).
tff(c_56931,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56909,c_56907,c_72]) ).
tff(c_56932,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_56931]) ).
tff(c_56933,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_56932]) ).
tff(c_57021,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_56902,c_53033,c_53010,c_4]) ).
tff(c_57066,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_56862,c_53014,c_32]) ).
tff(c_56937,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56933,c_174]) ).
tff(c_56944,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56857,c_84]) ).
tff(c_56945,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_53014,c_196,c_56944]) ).
tff(c_56946,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_56945]) ).
tff(c_56952,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56946,c_178]) ).
tff(c_56998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_56937,c_56952,c_14]) ).
tff(c_56999,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_56945]) ).
tff(c_57030,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56999,c_56857,c_96]) ).
tff(c_57031,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_53025,c_200,c_204,c_57030]) ).
tff(c_57177,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56933,c_56857,c_56857,c_53031,c_57021,c_57021,c_57066,c_57031,c_57031,c_56933,c_56909,c_56909,c_618]) ).
tff(c_57178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_202,c_198,c_57177]) ).
tff(c_57179,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_56932]) ).
tff(c_57183,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57179,c_160]) ).
tff(c_57190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56902,c_53033,c_57183,c_53010,c_4]) ).
tff(c_57191,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_56895]) ).
tff(c_57196,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57191,c_150]) ).
tff(c_57204,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_56862,c_53014,c_32]) ).
tff(c_57215,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57204,c_56857,c_96]) ).
tff(c_57216,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_57215]) ).
tff(c_57217,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_57216]) ).
tff(c_57220,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57217,c_138]) ).
tff(c_57208,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57204,c_142]) ).
tff(c_57230,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_14]) ).
tff(c_57231,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_57230]) ).
tff(c_57236,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57231,c_170]) ).
tff(c_57277,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_56871,c_40]) ).
tff(c_57278,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_57236,c_202,c_57277]) ).
tff(c_57195,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57191,c_128]) ).
tff(c_57255,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53024,c_57195,c_53013,c_24]) ).
tff(c_57265,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57255,c_57191,c_68]) ).
tff(c_57266,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_57265]) ).
tff(c_57267,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_57266]) ).
tff(c_218,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_57410,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57204,c_56871,c_56871,c_53031,c_57278,c_57278,c_53031,c_57231,c_57231,c_57267,c_57255,c_57255,c_218]) ).
tff(c_57411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_198,c_196,c_57410]) ).
tff(c_57412,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_57266]) ).
tff(c_57429,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57412,c_168]) ).
tff(c_57434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57220,c_53035,c_57208,c_57429,c_28]) ).
tff(c_57435,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_57230]) ).
tff(c_57440,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57435,c_112]) ).
tff(c_57451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_57196,c_57440,c_10]) ).
tff(c_57453,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_57216]) ).
tff(c_56861,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56857,c_136]) ).
tff(c_57209,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57204,c_144]) ).
tff(c_57485,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_57453,c_56861,c_57209,c_30]) ).
tff(c_56901,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56871,c_100]) ).
tff(c_57463,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_14]) ).
tff(c_57464,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_57463]) ).
tff(c_57495,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57485,c_57464,c_78]) ).
tff(c_57496,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_56901,c_57495]) ).
tff(c_57617,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57485,c_57496,c_57496,c_57191,c_57485,c_57496,c_758]) ).
tff(c_57618,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_57463]) ).
tff(c_57625,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57618,c_178]) ).
tff(c_57676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57453,c_56861,c_57209,c_57625,c_30]) ).
tff(c_57677,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_56870]) ).
tff(c_57682,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57677,c_146]) ).
tff(c_57832,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_56862,c_53014,c_32]) ).
tff(c_57684,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57677,c_98]) ).
tff(c_57929,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_53033,c_57684,c_53010,c_4]) ).
tff(c_57900,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57832,c_53019,c_53007,c_90]) ).
tff(c_57901,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_57900]) ).
tff(c_57681,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57677,c_148]) ).
tff(c_57690,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_57681,c_72]) ).
tff(c_57691,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_57690]) ).
tff(c_57697,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57691,c_192]) ).
tff(c_57736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53025,c_56862,c_57697,c_53014,c_32]) ).
tff(c_57737,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_57690]) ).
tff(c_57739,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_57737]) ).
tff(c_57898,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56865,c_57681,c_18]) ).
tff(c_57899,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_57898]) ).
tff(c_57965,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57901,c_57739,c_57899,c_68]) ).
tff(c_57966,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_57965]) ).
tff(c_222,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_58062,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_57677,c_57677,c_57832,c_57929,c_57929,c_57677,c_57966,c_57966,c_57677,c_53007,c_53007,c_222]) ).
tff(c_58063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_194,c_58062]) ).
tff(c_58064,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_57898]) ).
tff(c_58069,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58064,c_150]) ).
tff(c_58110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_57682,c_58069,c_10]) ).
tff(c_58112,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_57737]) ).
tff(c_58111,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_57737]) ).
tff(c_58116,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58111,c_174]) ).
tff(c_58199,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_58116,c_14]) ).
tff(c_58203,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58199,c_112]) ).
tff(c_58211,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56865,c_57681,c_18]) ).
tff(c_58212,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_58211]) ).
tff(c_58248,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56857,c_58212,c_57677,c_34]) ).
tff(c_58249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_58203,c_194,c_58248]) ).
tff(c_58250,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_58211]) ).
tff(c_58256,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58250,c_122]) ).
tff(c_58262,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_53034,c_58112,c_58256,c_20]) ).
tff(c_58267,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58262,c_160]) ).
tff(c_58134,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_58116,c_14]) ).
tff(c_57683,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57677,c_100]) ).
tff(c_58123,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_57683,c_53009,c_6]) ).
tff(c_58124,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_58123]) ).
tff(c_58185,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58111,c_58134,c_58124,c_74]) ).
tff(c_58186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56861,c_198,c_196,c_204,c_58185]) ).
tff(c_58187,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_58123]) ).
tff(c_58282,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_58187,c_57677,c_48]) ).
tff(c_58283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_58267,c_202,c_58282]) ).
tff(c_58284,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_56855]) ).
tff(c_58290,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58284,c_140]) ).
tff(c_59147,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_58290,c_53014,c_32]) ).
tff(c_59153,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59147,c_192]) ).
tff(c_58292,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58284,c_154]) ).
tff(c_58853,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58284,c_92]) ).
tff(c_58854,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53035,c_198,c_58853]) ).
tff(c_58855,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_58854]) ).
tff(c_58293,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58284,c_156]) ).
tff(c_58299,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_58293,c_72]) ).
tff(c_58300,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_58299]) ).
tff(c_58323,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58300,c_53019,c_53007,c_90]) ).
tff(c_58324,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_58323]) ).
tff(c_58291,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58284,c_152]) ).
tff(c_58301,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_58291,c_53011,c_2]) ).
tff(c_58302,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_58301]) ).
tff(c_58346,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_58292,c_10]) ).
tff(c_58370,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58324,c_58284,c_84]) ).
tff(c_58371,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_58370]) ).
tff(c_58372,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_58371]) ).
tff(c_58426,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58324,c_58372,c_58284,c_96]) ).
tff(c_58427,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_58426]) ).
tff(c_58351,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58346,c_112]) ).
tff(c_58358,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_58351,c_14]) ).
tff(c_440,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_58568,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58302,c_58346,c_58346,c_58324,c_58427,c_58427,c_53031,c_58358,c_58358,c_58324,c_53019,c_53019,c_440]) ).
tff(c_58569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_198,c_58568]) ).
tff(c_58570,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_58371]) ).
tff(c_58711,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58300,c_58324,c_58324,c_58570,c_58300,c_58324,c_742]) ).
tff(c_58712,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_58301]) ).
tff(c_58728,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58712,c_100]) ).
tff(c_58821,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_58728,c_53009,c_6]) ).
tff(c_58822,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_58821]) ).
tff(c_58827,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58822,c_176]) ).
tff(c_58865,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58855,c_58284,c_96]) ).
tff(c_58866,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_58827,c_202,c_58865]) ).
tff(c_59030,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53031,c_58284,c_58284,c_58855,c_58866,c_58866,c_58855,c_58822,c_58822,c_58855,c_53019,c_53019,c_688]) ).
tff(c_59031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_198,c_59030]) ).
tff(c_59032,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_58854]) ).
tff(c_59052,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59032,c_58284,c_96]) ).
tff(c_59053,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_53025,c_204,c_202,c_59052]) ).
tff(c_59081,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59032,c_59053,c_58284,c_84]) ).
tff(c_59082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53014,c_196,c_200,c_194,c_59081]) ).
tff(c_59083,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_58821]) ).
tff(c_59089,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59083,c_170]) ).
tff(c_59130,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_53036,c_59089,c_14]) ).
tff(c_59135,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59130,c_112]) ).
tff(c_59144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_53037,c_58292,c_59135,c_10]) ).
tff(c_59146,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_58299]) ).
tff(c_59381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_59153,c_59146,c_53013,c_24]) ).
tff(c_59382,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_53030]) ).
tff(c_59384,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_59382]) ).
tff(c_59391,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_110]) ).
tff(c_59410,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_59411,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_59410]) ).
tff(c_59396,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53009,c_6]) ).
tff(c_59397,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_59396]) ).
tff(c_59403,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59397,c_100]) ).
tff(c_59414,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59411,c_146]) ).
tff(c_59625,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_59403,c_59414,c_53011,c_2]) ).
tff(c_740,plain,
( ( op(e3,op(op(e3,e3),e3)) != e0 )
| ( op(e3,e3) != e2 )
| ( op(op(e3,e3),e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_670]) ).
tff(c_59852,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59411,c_59625,c_59625,c_59397,c_59411,c_59625,c_740]) ).
tff(c_59853,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_59410]) ).
tff(c_59866,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59853,c_34]) ).
tff(c_59867,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_53011,c_59866]) ).
tff(c_59868,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_59867]) ).
tff(c_59870,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59868,c_136]) ).
tff(c_59402,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59397,c_102]) ).
tff(c_59858,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59853,c_146]) ).
tff(c_60111,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_59403,c_59858,c_53011,c_2]) ).
tff(c_60115,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60111,c_98]) ).
tff(c_59399,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59397,c_172]) ).
tff(c_59861,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59853,c_112]) ).
tff(c_59390,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_114]) ).
tff(c_59881,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_53023,c_59861,c_59390,c_14]) ).
tff(c_59885,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59881,c_174]) ).
tff(c_59859,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59853,c_150]) ).
tff(c_59893,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59859,c_72]) ).
tff(c_59894,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_59893]) ).
tff(c_59897,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59894,c_132]) ).
tff(c_59907,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_59399,c_59885,c_59897,c_22]) ).
tff(c_720,plain,
( ( op(e1,op(op(e1,e1),e1)) != e2 )
| ( op(e1,e1) != e3 )
| ( op(op(e1,e1),e1) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_610]) ).
tff(c_60082,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_59397,c_59907,c_59907,c_59894,c_59397,c_59907,c_720]) ).
tff(c_60083,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_59893]) ).
tff(c_60085,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_60083]) ).
tff(c_60089,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60085,c_160]) ).
tff(c_60144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59402,c_60115,c_60089,c_53010,c_4]) ).
tff(c_60145,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_60083]) ).
tff(c_60181,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60145,c_59881,c_59397,c_66]) ).
tff(c_60182,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59870,c_194,c_196,c_200,c_60181]) ).
tff(c_60183,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_59867]) ).
tff(c_60216,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_59853,c_42]) ).
tff(c_60217,plain,
( ( op(e3,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_60216]) ).
tff(c_60218,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_60217]) ).
tff(c_60223,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60218,c_152]) ).
tff(c_60277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59403,c_60223,c_59858,c_53011,c_2]) ).
tff(c_60278,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_60217]) ).
tff(c_60284,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60278,c_98]) ).
tff(c_60305,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_59402,c_60284,c_53010,c_4]) ).
tff(c_60310,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60305,c_164]) ).
tff(c_60315,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53025,c_53014,c_32]) ).
tff(c_60316,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_60315]) ).
tff(c_59389,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_166]) ).
tff(c_60184,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_59867]) ).
tff(c_60205,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53014,c_59389,c_60184,c_84]) ).
tff(c_60279,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_60217]) ).
tff(c_59860,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59853,c_154]) ).
tff(c_60293,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_60279,c_59860,c_60184,c_26]) ).
tff(c_60329,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60316,c_60205,c_60293,c_88]) ).
tff(c_60330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_60310,c_202,c_60329]) ).
tff(c_60331,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_60315]) ).
tff(c_60336,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60331,c_192]) ).
tff(c_60309,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60305,c_160]) ).
tff(c_60342,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60183,c_72]) ).
tff(c_60343,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_60336,c_60309,c_194,c_60342]) ).
tff(c_60389,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53024,c_60336,c_53013,c_24]) ).
tff(c_386,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_60478,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_59853,c_59853,c_60278,c_59384,c_59384,c_59384,c_60343,c_60343,c_60343,c_60389,c_60389,c_386]) ).
tff(c_60479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_198,c_60478]) ).
tff(c_60480,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_59396]) ).
tff(c_60493,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_60480]) ).
tff(c_60482,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_88]) ).
tff(c_61055,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_92]) ).
tff(c_61056,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_61055]) ).
tff(c_61057,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_61056]) ).
tff(c_61061,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61057,c_178]) ).
tff(c_60523,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60493,c_170]) ).
tff(c_61109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_61061,c_60523,c_59390,c_14]) ).
tff(c_61110,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_61056]) ).
tff(c_61112,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_61110]) ).
tff(c_61117,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61112,c_152]) ).
tff(c_61042,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_60493,c_48]) ).
tff(c_61043,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_61042]) ).
tff(c_61044,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_61043]) ).
tff(c_61161,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_60493,c_61044,c_44]) ).
tff(c_61162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_61117,c_61161]) ).
tff(c_61164,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_61110]) ).
tff(c_60485,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_140]) ).
tff(c_60732,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_60493,c_48]) ).
tff(c_60733,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_60732]) ).
tff(c_60734,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_60733]) ).
tff(c_60738,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60734,c_98]) ).
tff(c_60526,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60493,c_100]) ).
tff(c_60754,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_60738,c_60526,c_53011,c_2]) ).
tff(c_60531,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_60532,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_60531]) ).
tff(c_60538,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60532,c_112]) ).
tff(c_60695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_60538,c_60523,c_59390,c_14]) ).
tff(c_60696,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_60531]) ).
tff(c_60720,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60696,c_34]) ).
tff(c_60721,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_53011,c_60720]) ).
tff(c_60722,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_60721]) ).
tff(c_60701,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60696,c_150]) ).
tff(c_60727,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60722,c_156]) ).
tff(c_60743,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_60701,c_60727,c_18]) ).
tff(c_60744,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_60743]) ).
tff(c_60749,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60744,c_124]) ).
tff(c_60766,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60493,c_78]) ).
tff(c_60767,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_60749,c_53023,c_202,c_60766]) ).
tff(c_60488,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_192]) ).
tff(c_60494,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_60488,c_72]) ).
tff(c_60495,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_60494]) ).
tff(c_60498,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60493,c_172]) ).
tff(c_60517,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60495,c_60498]) ).
tff(c_60518,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_60494]) ).
tff(c_60709,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_60701,c_60518]) ).
tff(c_60777,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60709,c_60744,c_68]) ).
tff(c_60778,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53013,c_194,c_200,c_60777]) ).
tff(c_60808,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_53019,c_53007,c_90]) ).
tff(c_60809,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_60808]) ).
tff(c_650,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_60914,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60754,c_60722,c_60722,c_60754,c_59384,c_59384,c_60482,c_60767,c_60767,c_60778,c_60809,c_60809,c_650]) ).
tff(c_60915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_202,c_196,c_60914]) ).
tff(c_60916,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_60743]) ).
tff(c_60920,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60916,c_148]) ).
tff(c_60978,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_60493,c_60734,c_44]) ).
tff(c_60979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_60920,c_60978]) ).
tff(c_60980,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_60733]) ).
tff(c_60984,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60980,c_148]) ).
tff(c_61014,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60709,c_68]) ).
tff(c_61015,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53013,c_194,c_60727,c_61014]) ).
tff(c_61029,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61015,c_60709,c_80]) ).
tff(c_61030,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_200,c_202,c_60984,c_61029]) ).
tff(c_61032,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_60721]) ).
tff(c_61174,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_61164,c_60485,c_61032,c_26]) ).
tff(c_61048,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61044,c_98]) ).
tff(c_61223,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_61048,c_60526,c_53011,c_2]) ).
tff(c_61178,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61174,c_136]) ).
tff(c_61111,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_61056]) ).
tff(c_60487,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_144]) ).
tff(c_61239,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_61178,c_61111,c_60487,c_30]) ).
tff(c_61331,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_61174,c_61174,c_60482,c_61044,c_61044,c_61223,c_61239,c_61239,c_59384,c_60482,c_60482,c_620]) ).
tff(c_61332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_200,c_61331]) ).
tff(c_61333,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_61043]) ).
tff(c_61423,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_60493,c_61333,c_44]) ).
tff(c_61424,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_61423]) ).
tff(c_61428,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61424,c_164]) ).
tff(c_61446,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_92]) ).
tff(c_61447,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_61428,c_61446]) ).
tff(c_61448,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_61447]) ).
tff(c_61453,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61448,c_178]) ).
tff(c_61458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_61453,c_60523,c_59390,c_14]) ).
tff(c_61459,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_61447]) ).
tff(c_738,plain,
( ( op(e3,op(op(e3,e3),e3)) != e2 )
| ( op(e3,e3) != e0 )
| ( op(op(e3,e3),e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_61569,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61459,c_61333,c_61333,c_60493,c_61459,c_61333,c_738]) ).
tff(c_61570,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_60480]) ).
tff(c_61575,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61570,c_170]) ).
tff(c_61584,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_61585,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_61584]) ).
tff(c_61591,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61585,c_112]) ).
tff(c_61609,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61570,c_78]) ).
tff(c_61610,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_204,c_61609]) ).
tff(c_61611,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_61610]) ).
tff(c_61617,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61611,c_180]) ).
tff(c_61596,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61585,c_34]) ).
tff(c_61597,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_53011,c_61596]) ).
tff(c_61598,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_61597]) ).
tff(c_61604,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61598,c_156]) ).
tff(c_59388,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_162]) ).
tff(c_61622,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59388,c_20]) ).
tff(c_61623,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_61622]) ).
tff(c_61636,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61623,c_72]) ).
tff(c_61637,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_60488,c_202,c_61636]) ).
tff(c_61638,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_61637]) ).
tff(c_61650,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61638,c_61623,c_68]) ).
tff(c_61651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53013,c_194,c_200,c_61604,c_61650]) ).
tff(c_61652,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_61637]) ).
tff(c_61679,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_53019,c_53007,c_90]) ).
tff(c_61680,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_61679]) ).
tff(c_61717,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61680,c_61623,c_61652,c_68]) ).
tff(c_61718,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_61717]) ).
tff(c_61702,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_61611,c_61598,c_92]) ).
tff(c_61703,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_61702]) ).
tff(c_61654,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_53023,c_61591,c_59390,c_14]) ).
tff(c_61588,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61585,c_146]) ).
tff(c_61666,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61652,c_148]) ).
tff(c_61728,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_61588,c_61666,c_53011,c_2]) ).
tff(c_61837,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_61652,c_61652,c_61718,c_61703,c_61703,c_59384,c_61654,c_61654,c_61728,c_53007,c_53007,c_566]) ).
tff(c_61838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_200,c_61837]) ).
tff(c_61839,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_61622]) ).
tff(c_61841,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_61839]) ).
tff(c_61846,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61841,c_160]) ).
tff(c_61853,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_61588,c_53011,c_2]) ).
tff(c_61854,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_61853]) ).
tff(c_61875,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_61570,c_61854,c_40]) ).
tff(c_61876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_61846,c_202,c_61875]) ).
tff(c_61877,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_61853]) ).
tff(c_61589,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61585,c_150]) ).
tff(c_61845,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61841,c_122]) ).
tff(c_61912,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_61589,c_61845,c_61604,c_18]) ).
tff(c_61951,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61841,c_61912,c_68]) ).
tff(c_61952,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53013,c_194,c_200,c_61951]) ).
tff(c_61892,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_61611,c_61598,c_92]) ).
tff(c_61893,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_61892]) ).
tff(c_62048,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61877,c_61598,c_61598,c_61952,c_61893,c_61893,c_61877,c_61952,c_61952,c_61877,c_53007,c_53007,c_702]) ).
tff(c_62049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_198,c_194,c_62048]) ).
tff(c_62050,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_61839]) ).
tff(c_62064,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_61570,c_40]) ).
tff(c_62065,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_62064]) ).
tff(c_62066,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_62065]) ).
tff(c_62070,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62066,c_98]) ).
tff(c_62077,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62050,c_72]) ).
tff(c_62078,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_60488,c_198,c_62077]) ).
tff(c_62079,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_62078]) ).
tff(c_62083,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62079,c_124]) ).
tff(c_62089,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_61589,c_62083,c_61604,c_18]) ).
tff(c_62103,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61598,c_62089,c_61585,c_38]) ).
tff(c_62104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_62070,c_62103]) ).
tff(c_62105,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_62078]) ).
tff(c_62126,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62050,c_62105,c_80]) ).
tff(c_62127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_61617,c_204,c_202,c_62126]) ).
tff(c_62128,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_62065]) ).
tff(c_62132,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62128,c_148]) ).
tff(c_62138,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62050,c_72]) ).
tff(c_62139,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_60488,c_198,c_62132,c_62138]) ).
tff(c_62144,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62139,c_174]) ).
tff(c_62171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_61591,c_62144,c_59390,c_14]) ).
tff(c_62172,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_61610]) ).
tff(c_62177,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62172,c_126]) ).
tff(c_62197,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_53019,c_53007,c_90]) ).
tff(c_62198,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_62197]) ).
tff(c_62202,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62198,c_130]) ).
tff(c_62176,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62172,c_124]) ).
tff(c_62186,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_62176,c_61589,c_61604,c_18]) ).
tff(c_62192,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62186,c_122]) ).
tff(c_62266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62177,c_62202,c_62192,c_59388,c_20]) ).
tff(c_62267,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_61597]) ).
tff(c_62279,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61570,c_78]) ).
tff(c_62280,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_204,c_62279]) ).
tff(c_62281,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_62280]) ).
tff(c_62284,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62281,c_136]) ).
tff(c_61590,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61585,c_154]) ).
tff(c_62268,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_61597]) ).
tff(c_62306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62284,c_61590,c_60485,c_62268,c_26]) ).
tff(c_62308,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_62280]) ).
tff(c_62321,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_61588,c_53011,c_2]) ).
tff(c_62322,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_62321]) ).
tff(c_62325,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62322,c_152]) ).
tff(c_61576,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61570,c_176]) ).
tff(c_62333,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_92]) ).
tff(c_62334,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_61576,c_61590,c_62333]) ).
tff(c_62372,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_62334,c_96]) ).
tff(c_62373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_62308,c_204,c_62325,c_62372]) ).
tff(c_62374,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_62321]) ).
tff(c_62413,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62267,c_61585,c_62374,c_46]) ).
tff(c_62414,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_62413]) ).
tff(c_62307,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_62280]) ).
tff(c_62312,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62307,c_126]) ).
tff(c_62387,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_92]) ).
tff(c_62388,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_61576,c_61590,c_62387]) ).
tff(c_62393,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62388,c_168]) ).
tff(c_62401,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_62312,c_62393,c_59388,c_20]) ).
tff(c_62450,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53024,c_60488,c_53013,c_24]) ).
tff(c_658,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_62552,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60482,c_62414,c_62414,c_59384,c_62401,c_62401,c_62307,c_61570,c_61570,c_62307,c_62450,c_62450,c_658]) ).
tff(c_62553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_200,c_204,c_62552]) ).
tff(c_62554,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_61584]) ).
tff(c_62573,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62554,c_112]) ).
tff(c_62750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_61575,c_62573,c_59390,c_14]) ).
tff(c_62752,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_65963,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_62752,c_53014,c_32]) ).
tff(c_65970,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65963,c_192]) ).
tff(c_64820,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_65551,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64820,c_53019,c_53007,c_90]) ).
tff(c_65552,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_65551]) ).
tff(c_65556,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65552,c_140]) ).
tff(c_62751,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_88]) ).
tff(c_65349,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_62751]) ).
tff(c_63825,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_62752,c_53014,c_32]) ).
tff(c_63832,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63825,c_192]) ).
tff(c_63308,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_63309,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_63308]) ).
tff(c_63315,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63309,c_112]) ).
tff(c_62753,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_60480]) ).
tff(c_63264,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_170]) ).
tff(c_63375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_63315,c_63264,c_59390,c_14]) ).
tff(c_63376,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_63308]) ).
tff(c_63392,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63376,c_154]) ).
tff(c_62754,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59388,c_20]) ).
tff(c_62755,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_62754]) ).
tff(c_62771,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62755,c_126]) ).
tff(c_62777,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_62778,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_62777]) ).
tff(c_62784,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62778,c_112]) ).
tff(c_62759,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_170]) ).
tff(c_62889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_62784,c_62759,c_59390,c_14]) ).
tff(c_62890,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_62777]) ).
tff(c_62896,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62890,c_154]) ).
tff(c_62760,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_176]) ).
tff(c_62903,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_62896,c_62760,c_62751]) ).
tff(c_63119,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_78]) ).
tff(c_63120,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_62771,c_53023,c_202,c_63119]) ).
tff(c_63123,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63120,c_136]) ).
tff(c_63093,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62903,c_92]) ).
tff(c_63094,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_63093]) ).
tff(c_63095,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_63094]) ).
tff(c_63099,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63095,c_140]) ).
tff(c_62769,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62755,c_122]) ).
tff(c_62895,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62890,c_150]) ).
tff(c_62914,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_62769,c_62895,c_18]) ).
tff(c_62915,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_62914]) ).
tff(c_62978,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62755,c_62915,c_68]) ).
tff(c_62979,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53013,c_200,c_196,c_62978]) ).
tff(c_63090,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_62979,c_62979,c_62755,c_62753,c_62979,c_748]) ).
tff(c_63091,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_62914]) ).
tff(c_63112,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63091,c_156]) ).
tff(c_63170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63123,c_63099,c_62896,c_63112,c_26]) ).
tff(c_63171,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_63094]) ).
tff(c_63184,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_63171]) ).
tff(c_63204,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62903,c_63184,c_96]) ).
tff(c_63205,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_53025,c_202,c_204,c_63204]) ).
tff(c_63234,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63205,c_62903,c_63184,c_84]) ).
tff(c_63235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53014,c_200,c_194,c_196,c_63234]) ).
tff(c_63236,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_63171]) ).
tff(c_63257,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63236,c_62753,c_78]) ).
tff(c_63258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_62771,c_53023,c_202,c_63257]) ).
tff(c_63259,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_62754]) ).
tff(c_63296,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_63259]) ).
tff(c_63303,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63296,c_168]) ).
tff(c_63272,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_78]) ).
tff(c_63273,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_202,c_63272]) ).
tff(c_63274,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_63273]) ).
tff(c_63399,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63274,c_62751]) ).
tff(c_63400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63392,c_63303,c_202,c_63399]) ).
tff(c_63401,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_63259]) ).
tff(c_63407,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63401,c_160]) ).
tff(c_63266,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_102]) ).
tff(c_63696,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_63407,c_63266,c_53010,c_4]) ).
tff(c_63701,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63696,c_98]) ).
tff(c_63267,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_100]) ).
tff(c_63798,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_63701,c_63267,c_53011,c_2]) ).
tff(c_63802,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63798,c_146]) ).
tff(c_63276,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63274,c_136]) ).
tff(c_63285,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_62752,c_53014,c_32]) ).
tff(c_63289,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63285,c_140]) ).
tff(c_63718,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63274,c_62751]) ).
tff(c_63719,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_63718]) ).
tff(c_63720,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_63719]) ).
tff(c_63475,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_63476,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_63475]) ).
tff(c_63511,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_59384,c_63476,c_56]) ).
tff(c_63512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_63264,c_194,c_198,c_63511]) ).
tff(c_63513,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_63475]) ).
tff(c_63263,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_172]) ).
tff(c_63406,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63401,c_122]) ).
tff(c_63415,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_63406,c_18]) ).
tff(c_63416,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_63415]) ).
tff(c_63549,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63401,c_63416,c_72]) ).
tff(c_63550,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_63263,c_198,c_202,c_63549]) ).
tff(c_63583,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63550,c_63401,c_63416,c_68]) ).
tff(c_63584,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_63583]) ).
tff(c_63574,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_53023,c_63264,c_59390,c_14]) ).
tff(c_63692,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_63513,c_63513,c_63584,c_63401,c_63401,c_63584,c_63574,c_63574,c_63285,c_53019,c_53019,c_408]) ).
tff(c_63693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_194,c_198,c_63692]) ).
tff(c_63694,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_63415]) ).
tff(c_63706,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_63694]) ).
tff(c_63735,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63720,c_63706,c_46]) ).
tff(c_63736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_53022,c_63701,c_63735]) ).
tff(c_63738,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_63719]) ).
tff(c_63713,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63706,c_156]) ).
tff(c_63773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63276,c_63289,c_63738,c_63713,c_26]) ).
tff(c_63774,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_63694]) ).
tff(c_63780,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63774,c_150]) ).
tff(c_63822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_63802,c_63780,c_59391,c_10]) ).
tff(c_63823,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_63273]) ).
tff(c_63839,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63823,c_124]) ).
tff(c_63884,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_63885,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_63884]) ).
tff(c_63938,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_59384,c_63885,c_56]) ).
tff(c_63939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_63264,c_194,c_198,c_63938]) ).
tff(c_63940,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_63884]) ).
tff(c_63946,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63940,c_154]) ).
tff(c_63847,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_63259]) ).
tff(c_63879,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63847,c_168]) ).
tff(c_63265,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62753,c_176]) ).
tff(c_63964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63946,c_63879,c_63265,c_62751]) ).
tff(c_63965,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_63259]) ).
tff(c_63970,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63965,c_122]) ).
tff(c_63829,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63825,c_140]) ).
tff(c_64054,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_53023,c_63264,c_59390,c_14]) ).
tff(c_64058,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64054,c_112]) ).
tff(c_63978,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_63265,c_62751]) ).
tff(c_63979,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_63978]) ).
tff(c_63992,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63979,c_34]) ).
tff(c_63993,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_59391,c_53011,c_63992]) ).
tff(c_63824,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_63273]) ).
tff(c_64004,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_62753,c_48]) ).
tff(c_64005,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_64004]) ).
tff(c_64006,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_64005]) ).
tff(c_64010,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64006,c_164]) ).
tff(c_64018,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63825,c_63979,c_96]) ).
tff(c_64019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_63824,c_64010,c_202,c_64018]) ).
tff(c_64020,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_64005]) ).
tff(c_64084,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63979,c_63993,c_64020,c_42]) ).
tff(c_64085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_64058,c_204,c_64084]) ).
tff(c_64087,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_63978]) ).
tff(c_64097,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_63829,c_64087,c_26]) ).
tff(c_64098,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_64097]) ).
tff(c_63971,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63965,c_160]) ).
tff(c_64197,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_63971,c_63266,c_53010,c_4]) ).
tff(c_64110,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_64111,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_64110]) ).
tff(c_64116,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64111,c_112]) ).
tff(c_64163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_64116,c_63264,c_59390,c_14]) ).
tff(c_64164,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_64110]) ).
tff(c_64187,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64098,c_64164,c_34]) ).
tff(c_64188,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_53011,c_64187]) ).
tff(c_64210,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64098,c_64188,c_64164,c_42]) ).
tff(c_64211,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_64210]) ).
tff(c_64086,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_63978]) ).
tff(c_64223,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63825,c_64086,c_64098,c_84]) ).
tff(c_64224,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_64223]) ).
tff(c_64347,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63825,c_64098,c_64098,c_63825,c_64197,c_64197,c_64211,c_64224,c_64224,c_64211,c_53007,c_53007,c_614]) ).
tff(c_64348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_64347]) ).
tff(c_64349,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_64097]) ).
tff(c_64356,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64349,c_156]) ).
tff(c_64375,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_63839,c_63970,c_64356,c_18]) ).
tff(c_64380,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64375,c_128]) ).
tff(c_64394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_63832,c_64380,c_53013,c_24]) ).
tff(c_64395,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_60480]) ).
tff(c_64400,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64395,c_170]) ).
tff(c_64831,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64395,c_78]) ).
tff(c_64832,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_204,c_64831]) ).
tff(c_64833,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_64832]) ).
tff(c_64835,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64833,c_136]) ).
tff(c_64942,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_64943,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_64942]) ).
tff(c_64948,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64943,c_154]) ).
tff(c_64918,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64820,c_53019,c_53007,c_90]) ).
tff(c_64919,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_64918]) ).
tff(c_64856,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64833,c_62751]) ).
tff(c_64857,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_64856]) ).
tff(c_64858,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_64857]) ).
tff(c_64928,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64919,c_64833,c_64858,c_84]) ).
tff(c_64929,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_59389,c_194,c_64928]) ).
tff(c_64931,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_64857]) ).
tff(c_64839,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64833,c_180]) ).
tff(c_64399,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64395,c_172]) ).
tff(c_64823,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64820,c_132]) ).
tff(c_65019,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_64839,c_64399,c_64823,c_22]) ).
tff(c_64930,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_64857]) ).
tff(c_64978,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53025,c_62752,c_53014,c_32]) ).
tff(c_64967,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_64395,c_48]) ).
tff(c_64968,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_64967]) ).
tff(c_64969,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_64968]) ).
tff(c_65033,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_64395,c_64969,c_40]) ).
tff(c_65034,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_65033]) ).
tff(c_454,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_65136,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65019,c_64943,c_64943,c_59384,c_64930,c_64930,c_64978,c_64833,c_64833,c_65034,c_53007,c_53007,c_454]) ).
tff(c_65137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_204,c_194,c_65136]) ).
tff(c_65138,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_64968]) ).
tff(c_65142,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65138,c_148]) ).
tff(c_64825,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64820,c_130]) ).
tff(c_64409,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59388,c_20]) ).
tff(c_64410,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_64409]) ).
tff(c_64414,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64410,c_160]) ).
tff(c_64402,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64395,c_102]) ).
tff(c_64415,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64410,c_126]) ).
tff(c_64492,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_53023,c_64400,c_59390,c_14]) ).
tff(c_64496,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64492,c_174]) ).
tff(c_64413,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64410,c_122]) ).
tff(c_64421,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_64422,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_64421]) ).
tff(c_64426,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64422,c_150]) ).
tff(c_64433,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_62751]) ).
tff(c_64439,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64433,c_156]) ).
tff(c_64470,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_64413,c_64426,c_64439,c_18]) ).
tff(c_64476,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64470,c_124]) ).
tff(c_64519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64415,c_64399,c_64496,c_64476,c_22]) ).
tff(c_64520,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_62751]) ).
tff(c_64522,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_64520]) ).
tff(c_64558,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64522,c_64395,c_78]) ).
tff(c_64559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_64415,c_53023,c_204,c_64558]) ).
tff(c_64560,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_64520]) ).
tff(c_64567,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64560,c_164]) ).
tff(c_64736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64414,c_64402,c_64567,c_53010,c_4]) ).
tff(c_64737,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_64421]) ).
tff(c_64755,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64737,c_154]) ).
tff(c_64739,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64395,c_78]) ).
tff(c_64740,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_64415,c_53023,c_204,c_64739]) ).
tff(c_64762,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64740,c_62751]) ).
tff(c_64763,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_64755,c_202,c_64762]) ).
tff(c_64768,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64763,c_164]) ).
tff(c_64817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64414,c_64402,c_64768,c_53010,c_4]) ).
tff(c_64818,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_64409]) ).
tff(c_64844,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_64825,c_64818]) ).
tff(c_64848,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64844,c_122]) ).
tff(c_64824,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64820,c_128]) ).
tff(c_64954,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64943,c_34]) ).
tff(c_64955,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_53011,c_64954]) ).
tff(c_64956,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_64955]) ).
tff(c_64962,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64956,c_156]) ).
tff(c_65157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65142,c_64848,c_64824,c_64962,c_18]) ).
tff(c_65159,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_64955]) ).
tff(c_65169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64835,c_64948,c_64931,c_65159,c_26]) ).
tff(c_65170,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_64942]) ).
tff(c_65264,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_59384,c_65170,c_60]) ).
tff(c_65265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_64400,c_196,c_198,c_65264]) ).
tff(c_65266,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_64832]) ).
tff(c_65278,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_64825,c_64818]) ).
tff(c_64403,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64395,c_100]) ).
tff(c_65356,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65349,c_152]) ).
tff(c_65391,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_64403,c_65356,c_53011,c_2]) ).
tff(c_654,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_65536,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59384,c_65349,c_65349,c_65266,c_65278,c_65278,c_65266,c_64395,c_64395,c_65391,c_53007,c_53007,c_654]) ).
tff(c_65537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_200,c_200,c_65536]) ).
tff(c_65539,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_62751]) ).
tff(c_65270,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65266,c_124]) ).
tff(c_65282,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65278,c_122]) ).
tff(c_65289,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_59391,c_53011,c_34]) ).
tff(c_65290,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_65289]) ).
tff(c_65296,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65290,c_156]) ).
tff(c_65336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65270,c_65282,c_64824,c_65296,c_18]) ).
tff(c_65338,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_65289]) ).
tff(c_65593,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_65556,c_65539,c_65338,c_26]) ).
tff(c_65598,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65593,c_152]) ).
tff(c_65538,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_62751]) ).
tff(c_65540,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_65538]) ).
tff(c_65544,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65540,c_138]) ).
tff(c_65575,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65278,c_59384,c_54]) ).
tff(c_65576,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_65544,c_198,c_194,c_65575]) ).
tff(c_65580,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65576,c_98]) ).
tff(c_65615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65598,c_64403,c_65580,c_53011,c_2]) ).
tff(c_65616,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_65538]) ).
tff(c_65623,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65616,c_164]) ).
tff(c_65630,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64820,c_53019,c_53007,c_90]) ).
tff(c_65631,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_65630]) ).
tff(c_65635,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65631,c_140]) ).
tff(c_65684,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_65635,c_65539,c_65338,c_26]) ).
tff(c_65641,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_59391,c_10]) ).
tff(c_65642,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_65641]) ).
tff(c_65692,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_59384,c_65642,c_56]) ).
tff(c_65693,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_65692]) ).
tff(c_666,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_65807,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65631,c_65684,c_65684,c_65266,c_65278,c_65278,c_59384,c_65693,c_65693,c_59384,c_64820,c_64820,c_666]) ).
tff(c_65808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_194,c_196,c_65807]) ).
tff(c_65809,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_65641]) ).
tff(c_65813,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65809,c_146]) ).
tff(c_65821,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_64395,c_40]) ).
tff(c_65822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_65623,c_65813,c_65821]) ).
tff(c_65824,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_66033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_65970,c_65824,c_53013,c_24]) ).
tff(c_66034,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_59382]) ).
tff(c_71508,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_66034,c_52]) ).
tff(c_71509,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_71508]) ).
tff(c_71510,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_71509]) ).
tff(c_71295,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_78]) ).
tff(c_71296,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_71295]) ).
tff(c_71301,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71296,c_180]) ).
tff(c_66040,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_166]) ).
tff(c_66048,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_66038,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_158]) ).
tff(c_67032,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66038,c_53010,c_4]) ).
tff(c_67033,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_67032]) ).
tff(c_67038,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67033,c_102]) ).
tff(c_67039,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67033,c_98]) ).
tff(c_66042,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_110]) ).
tff(c_67879,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_53022,c_66042,c_10]) ).
tff(c_67880,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_67879]) ).
tff(c_67883,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67880,c_146]) ).
tff(c_67589,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53023,c_67038,c_78]) ).
tff(c_67590,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_67589]) ).
tff(c_67024,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_140]) ).
tff(c_67044,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_67024,c_26]) ).
tff(c_67045,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_67044]) ).
tff(c_67177,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_67045,c_88]) ).
tff(c_67178,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_66040,c_202,c_67177]) ).
tff(c_67189,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67178,c_78]) ).
tff(c_67190,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_53023,c_67038,c_67189]) ).
tff(c_67037,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_67033,c_164]) ).
tff(c_67025,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_142]) ).
tff(c_66039,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_162]) ).
tff(c_66049,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66039,c_20]) ).
tff(c_66050,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_66049]) ).
tff(c_66064,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66050,c_160]) ).
tff(c_66506,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_66064,c_66038,c_53010,c_4]) ).
tff(c_66511,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66506,c_102]) ).
tff(c_66482,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_88]) ).
tff(c_66483,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_66040,c_66482]) ).
tff(c_66484,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_66483]) ).
tff(c_66498,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66484,c_176]) ).
tff(c_66541,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_66511,c_66498,c_53009,c_6]) ).
tff(c_66547,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66541,c_100]) ).
tff(c_66512,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66506,c_98]) ).
tff(c_66063,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66050,c_122]) ).
tff(c_66065,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66050,c_126]) ).
tff(c_66109,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_66065,c_22]) ).
tff(c_66110,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_66109]) ).
tff(c_66114,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66110,c_174]) ).
tff(c_66140,plain,
( ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_66034,c_60]) ).
tff(c_66141,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_66114,c_198,c_66140]) ).
tff(c_66053,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_140]) ).
tff(c_66073,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66053,c_26]) ).
tff(c_66074,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_66073]) ).
tff(c_66078,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66074,c_152]) ).
tff(c_66087,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_66064,c_66038,c_53010,c_4]) ).
tff(c_66093,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66087,c_98]) ).
tff(c_66183,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66078,c_66093,c_53011,c_2]) ).
tff(c_66077,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66074,c_136]) ).
tff(c_66098,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_66077,c_66065,c_53023,c_78]) ).
tff(c_66259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66141,c_66183,c_66183,c_66098,c_66141,c_66183,c_740]) ).
tff(c_66260,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_66109]) ).
tff(c_66262,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_66260]) ).
tff(c_66308,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66262,c_66050,c_72]) ).
tff(c_66309,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_66308]) ).
tff(c_66310,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_66309]) ).
tff(c_66268,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66262,c_180]) ).
tff(c_66311,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_66074,c_84]) ).
tff(c_66312,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_66268,c_200,c_66311]) ).
tff(c_66412,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66310,c_66048,c_66048,c_66312,c_66310,c_66048,c_742]) ).
tff(c_66413,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_66309]) ).
tff(c_66417,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66413,c_148]) ).
tff(c_66423,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_66098,c_66087,c_40]) ).
tff(c_66424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_66417,c_66423]) ).
tff(c_66425,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_66260]) ).
tff(c_66432,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66425,c_180]) ).
tff(c_66477,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_66074,c_88]) ).
tff(c_66478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_66432,c_66040,c_202,c_66477]) ).
tff(c_66479,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_66073]) ).
tff(c_66481,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_66479]) ).
tff(c_66490,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66481,c_154]) ).
tff(c_66517,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_53022,c_66042,c_66490,c_10]) ).
tff(c_66522,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66517,c_150]) ).
tff(c_66491,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66481,c_156]) ).
tff(c_66528,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_66063,c_66522,c_66491,c_18]) ).
tff(c_66532,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66528,c_148]) ).
tff(c_66566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66547,c_66512,c_66532,c_53011,c_2]) ).
tff(c_66567,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_66483]) ).
tff(c_66592,plain,
e3 = e2,
inference(demodulation,[status(thm),theory(equality)],[c_66567,c_66481]) ).
tff(c_66594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_66592]) ).
tff(c_66595,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_66479]) ).
tff(c_66827,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66595,c_46]) ).
tff(c_66828,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_66063,c_53022,c_66827]) ).
tff(c_66054,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_142]) ).
tff(c_66931,plain,
( ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66050,c_66034,c_58]) ).
tff(c_66932,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_66054,c_204,c_198,c_66931]) ).
tff(c_750,plain,
( ( op(e3,op(op(e3,e3),e3)) != e1 )
| ( op(e3,e3) != e0 )
| ( op(op(e3,e3),e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_700]) ).
tff(c_67019,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_66595,c_66828,c_66828,c_66932,c_66595,c_66828,c_750]) ).
tff(c_67020,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_66049]) ).
tff(c_67056,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_67020]) ).
tff(c_67062,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_67056,c_168]) ).
tff(c_67163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67037,c_67025,c_66040,c_67062,c_28]) ).
tff(c_67164,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_67020]) ).
tff(c_67212,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67190,c_67164,c_68]) ).
tff(c_67213,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53013,c_200,c_196,c_67212]) ).
tff(c_67261,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67190,c_67164,c_67213,c_72]) ).
tff(c_67262,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_67261]) ).
tff(c_67203,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_67178,c_67045,c_84]) ).
tff(c_67204,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_67203]) ).
tff(c_67360,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67262,c_66048,c_66048,c_67204,c_67262,c_66048,c_742]) ).
tff(c_67361,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_67044]) ).
tff(c_67601,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_67361]) ).
tff(c_67651,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_67590,c_67601,c_88]) ).
tff(c_67652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_66040,c_194,c_67651]) ).
tff(c_67653,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_67361]) ).
tff(c_67659,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67653,c_152]) ).
tff(c_67923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67039,c_67883,c_67659,c_53011,c_2]) ).
tff(c_67924,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_67879]) ).
tff(c_67936,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_66034,c_67924,c_60]) ).
tff(c_67937,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_67936]) ).
tff(c_67941,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67937,c_170]) ).
tff(c_67661,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67653,c_156]) ).
tff(c_67365,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_67020]) ).
tff(c_67574,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67365,c_66034,c_67033,c_58]) ).
tff(c_67575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67025,c_196,c_198,c_204,c_67574]) ).
tff(c_67576,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_67020]) ).
tff(c_67666,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67576,c_72]) ).
tff(c_67667,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_67661,c_67666]) ).
tff(c_67668,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_67667]) ).
tff(c_67795,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67576,c_66034,c_67033,c_50]) ).
tff(c_67796,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_67795]) ).
tff(c_67864,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67668,c_66048,c_66048,c_67796,c_67668,c_66048,c_742]) ).
tff(c_67865,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_67667]) ).
tff(c_67872,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67865,c_172]) ).
tff(c_67948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_67038,c_67941,c_67872,c_53009,c_6]) ).
tff(c_67950,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_67589]) ).
tff(c_67961,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_67361]) ).
tff(c_68012,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_67961,c_96]) ).
tff(c_68013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_67950,c_67037,c_200,c_68012]) ).
tff(c_68014,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_67361]) ).
tff(c_68064,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_68014,c_96]) ).
tff(c_68065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_67950,c_67037,c_202,c_68064]) ).
tff(c_68066,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_67032]) ).
tff(c_68083,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68066,c_160]) ).
tff(c_68103,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_68083,c_67020]) ).
tff(c_68110,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68103,c_168]) ).
tff(c_68068,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_67024,c_26]) ).
tff(c_68069,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_68068]) ).
tff(c_68226,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_68069,c_84]) ).
tff(c_68227,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_68110,c_200,c_68226]) ).
tff(c_68278,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_68227,c_68069,c_88]) ).
tff(c_68279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_66040,c_202,c_68278]) ).
tff(c_68280,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_68068]) ).
tff(c_68309,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_68280]) ).
tff(c_68609,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_68309,c_88]) ).
tff(c_68610,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_66040,c_194,c_68609]) ).
tff(c_68615,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68610,c_176]) ).
tff(c_68315,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68309,c_154]) ).
tff(c_68346,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_53022,c_66042,c_68315,c_10]) ).
tff(c_68287,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68066,c_160]) ).
tff(c_68295,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_68287,c_67020]) ).
tff(c_68300,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68295,c_122]) ).
tff(c_68321,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68300,c_18]) ).
tff(c_68322,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_68321]) ).
tff(c_68324,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68322,c_148]) ).
tff(c_68290,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68066,c_98]) ).
tff(c_68382,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_68324,c_68290,c_53011,c_2]) ).
tff(c_68327,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68322,c_124]) ).
tff(c_68334,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_68309,c_88]) ).
tff(c_68335,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_66040,c_194,c_68334]) ).
tff(c_68356,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68335,c_78]) ).
tff(c_68357,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_68327,c_53023,c_68356]) ).
tff(c_68475,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68346,c_68382,c_68382,c_68357,c_68346,c_68382,c_740]) ).
tff(c_68476,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_68321]) ).
tff(c_68478,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_68476]) ).
tff(c_68481,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68478,c_148]) ).
tff(c_68627,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_68066,c_40]) ).
tff(c_68628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_68615,c_198,c_68481,c_68627]) ).
tff(c_68629,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_68476]) ).
tff(c_68635,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68629,c_150]) ).
tff(c_68642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_68635,c_66042,c_68315,c_10]) ).
tff(c_68643,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_68280]) ).
tff(c_68289,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68066,c_102]) ).
tff(c_68645,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68289,c_53009,c_6]) ).
tff(c_68646,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_68645]) ).
tff(c_68652,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68646,c_100]) ).
tff(c_68661,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68643,c_152]) ).
tff(c_68691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68652,c_68290,c_68661,c_53011,c_2]) ).
tff(c_68692,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_68645]) ).
tff(c_68817,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_68692,c_68066,c_48]) ).
tff(c_68818,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_68817]) ).
tff(c_68899,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68643,c_68818,c_68818,c_68066,c_68643,c_68818,c_750]) ).
tff(c_68901,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_68900,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_68902,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_68900]) ).
tff(c_69020,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68902,c_88]) ).
tff(c_69021,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_66040,c_198,c_69020]) ).
tff(c_69022,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_69021]) ).
tff(c_68913,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_48]) ).
tff(c_68914,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_68913]) ).
tff(c_68915,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_68914]) ).
tff(c_68917,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68915,c_172]) ).
tff(c_69028,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69022,c_192]) ).
tff(c_69078,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53024,c_69028,c_53013,c_24]) ).
tff(c_68920,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68915,c_102]) ).
tff(c_68937,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_68920,c_66038,c_53010,c_4]) ).
tff(c_68941,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68937,c_160]) ).
tff(c_68948,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68941,c_66039,c_20]) ).
tff(c_68949,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_68948]) ).
tff(c_68953,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68949,c_122]) ).
tff(c_68908,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68902,c_156]) ).
tff(c_68907,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68902,c_154]) ).
tff(c_68926,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53022,c_68907,c_66042,c_10]) ).
tff(c_68931,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68926,c_150]) ).
tff(c_68990,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_68953,c_68908,c_68931,c_18]) ).
tff(c_68994,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68990,c_148]) ).
tff(c_69003,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_68915,c_68937,c_40]) ).
tff(c_69004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_68994,c_69003]) ).
tff(c_69005,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_68948]) ).
tff(c_69096,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69078,c_69005,c_80]) ).
tff(c_69097,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_68917,c_200,c_69096]) ).
tff(c_69012,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69005,c_168]) ).
tff(c_69033,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69022,c_68902,c_84]) ).
tff(c_69034,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_69012,c_196,c_69033]) ).
tff(c_69054,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69022,c_69034,c_68902,c_96]) ).
tff(c_69055,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_69054]) ).
tff(c_68921,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68915,c_100]) ).
tff(c_68906,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68902,c_152]) ).
tff(c_69045,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_68921,c_68906,c_53011,c_2]) ).
tff(c_69063,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69034,c_68915,c_74]) ).
tff(c_69064,plain,
( ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_69063]) ).
tff(c_69065,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_69064]) ).
tff(c_69068,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69065,c_132]) ).
tff(c_69075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_69068,c_69028,c_53013,c_24]) ).
tff(c_69077,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_69064]) ).
tff(c_69011,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69005,c_126]) ).
tff(c_69130,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_68917,c_69077,c_69011,c_22]) ).
tff(c_586,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_69212,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69022,c_69097,c_69097,c_69022,c_69055,c_69055,c_69045,c_69034,c_69034,c_69130,c_69078,c_69078,c_586]) ).
tff(c_69213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_202,c_198,c_69212]) ).
tff(c_69215,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_69021]) ).
tff(c_69259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53025,c_68901,c_69215,c_53014,c_32]) ).
tff(c_69260,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_68914]) ).
tff(c_69262,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_69260]) ).
tff(c_69261,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_68914]) ).
tff(c_69268,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69262,c_98]) ).
tff(c_69275,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_69268,c_66038,c_53010,c_4]) ).
tff(c_69281,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69275,c_102]) ).
tff(c_69495,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_69261,c_69281,c_53009,c_6]) ).
tff(c_69630,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68902,c_69262,c_69262,c_69495,c_68902,c_69262,c_738]) ).
tff(c_69632,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_69260]) ).
tff(c_69657,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69261,c_53009,c_6]) ).
tff(c_69658,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_69657]) ).
tff(c_69662,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69658,c_170]) ).
tff(c_66041,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_114]) ).
tff(c_69704,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53022,c_68907,c_66042,c_10]) ).
tff(c_69709,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69704,c_112]) ).
tff(c_69780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_69662,c_66041,c_69709,c_14]) ).
tff(c_69781,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_69657]) ).
tff(c_69788,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69781,c_100]) ).
tff(c_69926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_69632,c_68906,c_69788,c_53011,c_2]) ).
tff(c_69928,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_68900]) ).
tff(c_69930,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_69928,c_26]) ).
tff(c_69931,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_69930]) ).
tff(c_69947,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69931,c_156]) ).
tff(c_69927,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_68900]) ).
tff(c_69929,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_69927]) ).
tff(c_69936,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_178]) ).
tff(c_69945,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69931,c_152]) ).
tff(c_69977,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69945,c_53011,c_2]) ).
tff(c_69978,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_69977]) ).
tff(c_69982,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69978,c_146]) ).
tff(c_69988,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_53022,c_69982,c_66042,c_10]) ).
tff(c_70027,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53019,c_66034,c_69988,c_60]) ).
tff(c_70028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_69936,c_198,c_196,c_70027]) ).
tff(c_70029,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_69977]) ).
tff(c_70034,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70029,c_148]) ).
tff(c_70043,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69947,c_70034,c_18]) ).
tff(c_70044,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_70043]) ).
tff(c_70056,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70044,c_128]) ).
tff(c_70068,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_68901,c_53014,c_32]) ).
tff(c_70104,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70068,c_53019,c_53007,c_90]) ).
tff(c_70105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_70056,c_204,c_196,c_70104]) ).
tff(c_70106,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_70043]) ).
tff(c_70123,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70106,c_150]) ).
tff(c_70130,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_53022,c_66042,c_70123,c_10]) ).
tff(c_69952,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_48]) ).
tff(c_69953,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_69945,c_69952]) ).
tff(c_69954,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_69953]) ).
tff(c_70252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70130,c_70029,c_70029,c_69954,c_70130,c_70029,c_740]) ).
tff(c_70253,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_69953]) ).
tff(c_70257,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70253,c_160]) ).
tff(c_70461,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70257,c_66039,c_20]) ).
tff(c_70462,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_70461]) ).
tff(c_70465,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70462,c_130]) ).
tff(c_70254,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_69953]) ).
tff(c_69935,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_176]) ).
tff(c_70337,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_70254,c_69935,c_53009,c_6]) ).
tff(c_70343,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70337,c_100]) ).
tff(c_70348,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_69945,c_70343,c_53011,c_2]) ).
tff(c_70352,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70348,c_146]) ).
tff(c_70265,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_69947,c_18]) ).
tff(c_70266,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_70265]) ).
tff(c_70272,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70266,c_122]) ).
tff(c_70298,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_70257,c_70272,c_66039,c_20]) ).
tff(c_70303,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70298,c_168]) ).
tff(c_70308,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_69931,c_88]) ).
tff(c_70309,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_66040,c_202,c_70308]) ).
tff(c_70321,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70309,c_69929,c_69931,c_84]) ).
tff(c_70322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_70303,c_200,c_70321]) ).
tff(c_70323,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_70265]) ).
tff(c_70325,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_70323]) ).
tff(c_70330,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70325,c_150]) ).
tff(c_70357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_70352,c_66042,c_70330,c_10]) ).
tff(c_70358,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_70323]) ).
tff(c_70363,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70358,c_128]) ).
tff(c_70471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_70465,c_70363,c_53013,c_24]) ).
tff(c_70472,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_70461]) ).
tff(c_70477,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70472,c_168]) ).
tff(c_70437,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_68901,c_53014,c_32]) ).
tff(c_70517,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70437,c_69929,c_69931,c_84]) ).
tff(c_70518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_70477,c_200,c_70517]) ).
tff(c_70519,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_69930]) ).
tff(c_70531,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_70519]) ).
tff(c_70540,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70531,c_154]) ).
tff(c_70580,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_53022,c_66042,c_70540,c_10]) ).
tff(c_70532,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_48]) ).
tff(c_70533,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_70532]) ).
tff(c_70534,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_70533]) ).
tff(c_70551,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70534,c_100]) ).
tff(c_70584,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70580,c_146]) ).
tff(c_70611,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_70551,c_70584,c_53011,c_2]) ).
tff(c_70730,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70580,c_70611,c_70611,c_70534,c_70580,c_70611,c_740]) ).
tff(c_70732,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_70533]) ).
tff(c_70800,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_78]) ).
tff(c_70801,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_53023,c_70732,c_70800]) ).
tff(c_70738,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70531,c_154]) ).
tff(c_70823,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_53022,c_66042,c_70738,c_10]) ).
tff(c_70812,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_70531,c_88]) ).
tff(c_70813,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_66040,c_194,c_70812]) ).
tff(c_70863,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70813,c_69929,c_70531,c_96]) ).
tff(c_70864,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_70863]) ).
tff(c_70731,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_70533]) ).
tff(c_70744,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_70731]) ).
tff(c_70525,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_178]) ).
tff(c_70850,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53023,c_70525,c_66041,c_14]) ).
tff(c_438,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_70994,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70801,c_70823,c_70823,c_70813,c_70864,c_70864,c_70744,c_70850,c_70850,c_70744,c_53007,c_53007,c_438]) ).
tff(c_70995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_202,c_200,c_70994]) ).
tff(c_70997,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_70731]) ).
tff(c_70524,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_69929,c_176]) ).
tff(c_71106,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_70732,c_70524,c_53009,c_6]) ).
tff(c_71112,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71106,c_100]) ).
tff(c_71208,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_70997,c_71112,c_53011,c_2]) ).
tff(c_71212,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71208,c_146]) ).
tff(c_71217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53022,c_71212,c_66042,c_70738,c_10]) ).
tff(c_71218,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_70519]) ).
tff(c_71223,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71218,c_140]) ).
tff(c_71271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53025,c_68901,c_71223,c_53014,c_32]) ).
tff(c_71272,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_69927]) ).
tff(c_71278,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71272,c_168]) ).
tff(c_71307,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_71278,c_66039,c_20]) ).
tff(c_71308,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_71307]) ).
tff(c_71382,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71272,c_71308,c_66034,c_50]) ).
tff(c_71383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_53010,c_71382]) ).
tff(c_71384,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_71307]) ).
tff(c_71391,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71384,c_126]) ).
tff(c_71399,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_71301,c_71391,c_22]) ).
tff(c_71400,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_71399]) ).
tff(c_71403,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71400,c_132]) ).
tff(c_71284,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53025,c_68901,c_53014,c_32]) ).
tff(c_71290,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71284,c_192]) ).
tff(c_71465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_71403,c_71290,c_53013,c_24]) ).
tff(c_71466,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_71399]) ).
tff(c_71479,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71284,c_53019,c_53007,c_90]) ).
tff(c_71480,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_71479]) ).
tff(c_71484,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71480,c_128]) ).
tff(c_71472,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71466,c_124]) ).
tff(c_71389,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71384,c_122]) ).
tff(c_71491,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_71484,c_71472,c_71389,c_18]) ).
tff(c_71655,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71510,c_71466,c_71466,c_71491,c_71510,c_71466,c_760]) ).
tff(c_71656,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_71509]) ).
tff(c_71661,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71656,c_154]) ).
tff(c_71700,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71284,c_71296,c_71272,c_84]) ).
tff(c_71701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_71661,c_71700]) ).
tff(c_71703,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_71295]) ).
tff(c_71792,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53024,c_71290,c_53013,c_24]) ).
tff(c_71702,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_71295]) ).
tff(c_71704,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_71702]) ).
tff(c_71709,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71704,c_102]) ).
tff(c_71279,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71272,c_164]) ).
tff(c_71728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71709,c_71279,c_66038,c_53010,c_4]) ).
tff(c_71729,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_71702]) ).
tff(c_71732,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71729,c_124]) ).
tff(c_71754,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_71732,c_18]) ).
tff(c_71755,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_71754]) ).
tff(c_71758,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71755,c_128]) ).
tff(c_71766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53024,c_71758,c_71290,c_53013,c_24]) ).
tff(c_71767,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_71754]) ).
tff(c_71769,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_71767]) ).
tff(c_71816,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71792,c_71729,c_71769,c_72]) ).
tff(c_71817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_66039,c_194,c_71816]) ).
tff(c_71818,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_71767]) ).
tff(c_71730,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_71702]) ).
tff(c_71845,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_71730,c_53009,c_6]) ).
tff(c_71846,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_71845]) ).
tff(c_71849,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71846,c_170]) ).
tff(c_71741,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71284,c_71272,c_84]) ).
tff(c_71742,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_71741]) ).
tff(c_71743,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_71742]) ).
tff(c_71749,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71743,c_178]) ).
tff(c_71880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53023,c_71849,c_66041,c_71749,c_14]) ).
tff(c_71881,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_71845]) ).
tff(c_71834,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71284,c_71743,c_71272,c_96]) ).
tff(c_71835,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_71834]) ).
tff(c_71839,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71835,c_152]) ).
tff(c_71939,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_71881,c_48]) ).
tff(c_71940,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_71839,c_71939]) ).
tff(c_71951,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_71881,c_71940,c_44]) ).
tff(c_71952,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_71951]) ).
tff(c_752,plain,
( ( op(e3,op(op(e3,e3),e3)) != e0 )
| ( op(e3,e3) != e1 )
| ( op(op(e3,e3),e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_706]) ).
tff(c_72017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71818,c_71952,c_71952,c_71940,c_71818,c_71952,c_752]) ).
tff(c_72018,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_71742]) ).
tff(c_72080,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71284,c_71272,c_72018,c_96]) ).
tff(c_72081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_71703,c_204,c_200,c_72080]) ).
tff(c_72082,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_72096,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53012,c_72082]) ).
tff(c_72097,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_72096]) ).
tff(c_72103,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_120]) ).
tff(c_72174,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72088,c_72103,c_14]) ).
tff(c_72175,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_72174]) ).
tff(c_72181,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72175,c_114]) ).
tff(c_72101,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_118]) ).
tff(c_72367,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_72128,c_72181,c_72101,c_12]) ).
tff(c_72135,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_72138,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72135,c_150]) ).
tff(c_72158,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_64]) ).
tff(c_72159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_72088,c_72128,c_72138,c_72158]) ).
tff(c_72160,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_72162,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_72160]) ).
tff(c_72169,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72162,c_156]) ).
tff(c_72186,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72124,c_88]) ).
tff(c_72187,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_72186]) ).
tff(c_72188,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_72187]) ).
tff(c_72262,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72188,c_72124,c_84]) ).
tff(c_72263,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_72169,c_72262]) ).
tff(c_72264,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_72187]) ).
tff(c_72270,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72264,c_152]) ).
tff(c_72298,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_40]) ).
tff(c_72299,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_72270,c_72298]) ).
tff(c_72303,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72299,c_160]) ).
tff(c_72114,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_192]) ).
tff(c_72104,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_186]) ).
tff(c_72276,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_72114,c_72104,c_53013,c_24]) ).
tff(c_72326,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72276,c_72162,c_72]) ).
tff(c_72327,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_72303,c_194,c_72326]) ).
tff(c_72351,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_72270,c_53011,c_2]) ).
tff(c_72453,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72367,c_72264,c_72264,c_72098,c_72124,c_72124,c_72367,c_72327,c_72327,c_72351,c_53007,c_53007,c_702]) ).
tff(c_72454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_196,c_196,c_72453]) ).
tff(c_72455,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_72174]) ).
tff(c_72473,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72455,c_178]) ).
tff(c_72126,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72124,c_134]) ).
tff(c_72111,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_140]) ).
tff(c_72492,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72124,c_88]) ).
tff(c_72493,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_72492]) ).
tff(c_72494,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_72493]) ).
tff(c_72500,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72494,c_136]) ).
tff(c_72518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72126,c_72111,c_72500,c_72169,c_26]) ).
tff(c_72519,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_72493]) ).
tff(c_72543,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72124,c_72519,c_84]) ).
tff(c_72544,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_72473,c_200,c_194,c_72543]) ).
tff(c_72545,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_72160]) ).
tff(c_72547,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_72545]) ).
tff(c_72552,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72547,c_148]) ).
tff(c_72846,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_72091,c_72552,c_53011,c_2]) ).
tff(c_72850,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72846,c_152]) ).
tff(c_72554,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72547,c_150]) ).
tff(c_72102,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_116]) ).
tff(c_72562,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72554,c_72102,c_10]) ).
tff(c_72563,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_72562]) ).
tff(c_72090,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_102]) ).
tff(c_72574,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72090,c_53010,c_4]) ).
tff(c_72575,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_72574]) ).
tff(c_72578,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72575,c_158]) ).
tff(c_72685,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_72128,c_72578,c_72101,c_12]) ).
tff(c_72598,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_72575,c_40]) ).
tff(c_72599,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_72598]) ).
tff(c_72603,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72599,c_152]) ).
tff(c_72113,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_144]) ).
tff(c_72585,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72547,c_72]) ).
tff(c_72586,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72104,c_198,c_72585]) ).
tff(c_72587,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_72586]) ).
tff(c_72593,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72587,c_180]) ).
tff(c_72610,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72089,c_72113,c_72593,c_30]) ).
tff(c_72620,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72610,c_72124,c_88]) ).
tff(c_72621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_72603,c_72620]) ).
tff(c_72622,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_72586]) ).
tff(c_72633,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_72091,c_72552,c_53011,c_2]) ).
tff(c_398,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_72796,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72563,c_72563,c_72685,c_72622,c_72622,c_72098,c_72085,c_72085,c_72633,c_53007,c_53007,c_398]) ).
tff(c_72797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_196,c_194,c_72796]) ).
tff(c_72798,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_72574]) ).
tff(c_72804,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72798,c_98]) ).
tff(c_72821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_72552,c_72804,c_53011,c_2]) ).
tff(c_72822,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_72562]) ).
tff(c_72827,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72822,c_154]) ).
tff(c_72858,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72124,c_84]) ).
tff(c_72859,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_72827,c_72858]) ).
tff(c_72869,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_72859,c_72124,c_88]) ).
tff(c_72870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_72850,c_72869]) ).
tff(c_72871,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_72545]) ).
tff(c_72880,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72871,c_124]) ).
tff(c_72909,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72088,c_72103,c_14]) ).
tff(c_72910,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_72909]) ).
tff(c_72913,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72910,c_174]) ).
tff(c_72920,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72871,c_80]) ).
tff(c_72921,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_72087,c_72129,c_202,c_72920]) ).
tff(c_73095,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72921,c_72871,c_76]) ).
tff(c_73096,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_72913,c_198,c_73095]) ).
tff(c_72877,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72871,c_148]) ).
tff(c_72899,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_72877,c_53011,c_2]) ).
tff(c_72882,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72871,c_156]) ).
tff(c_72994,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_72126,c_72111,c_72882,c_26]) ).
tff(c_72881,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72871,c_122]) ).
tff(c_72960,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72129,c_72881,c_20]) ).
tff(c_72961,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_72960]) ).
tff(c_73010,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72921,c_72961,c_72871,c_68]) ).
tff(c_73011,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_73010]) ).
tff(c_660,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_73091,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72899,c_72994,c_72994,c_73011,c_72961,c_72961,c_72098,c_72085,c_72085,c_73011,c_72098,c_72098,c_660]) ).
tff(c_73092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196,c_200,c_73091]) ).
tff(c_73093,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_72960]) ).
tff(c_73105,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_73096,c_73093]) ).
tff(c_73106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_73105]) ).
tff(c_73107,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_72909]) ).
tff(c_73111,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73107,c_174]) ).
tff(c_73142,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72087,c_72880,c_73111,c_22]) ).
tff(c_73147,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73142,c_126]) ).
tff(c_73191,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_72129,c_73147,c_72881,c_20]) ).
tff(c_73113,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73107,c_114]) ).
tff(c_73168,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72128,c_72101,c_73113,c_12]) ).
tff(c_72888,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_64]) ).
tff(c_72889,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_72088,c_72128,c_72888]) ).
tff(c_73259,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73191,c_73168,c_73168,c_72889,c_73191,c_73168,c_764]) ).
tff(c_73260,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_72123]) ).
tff(c_73266,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73260,c_154]) ).
tff(c_73272,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_73266,c_72102,c_10]) ).
tff(c_73273,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_73272]) ).
tff(c_73301,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73273,c_146]) ).
tff(c_73309,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72091,c_53011,c_2]) ).
tff(c_73310,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_73309]) ).
tff(c_73311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73301,c_73310]) ).
tff(c_73312,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_73309]) ).
tff(c_73318,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73312,c_98]) ).
tff(c_73346,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72090,c_73318,c_53010,c_4]) ).
tff(c_73351,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73346,c_160]) ).
tff(c_73317,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73312,c_148]) ).
tff(c_73267,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73260,c_156]) ).
tff(c_73274,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_73267,c_18]) ).
tff(c_73275,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_73274]) ).
tff(c_73279,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73273,c_150]) ).
tff(c_73296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73275,c_73279]) ).
tff(c_73297,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_73274]) ).
tff(c_73323,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_73317,c_73297]) ).
tff(c_73334,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73323,c_80]) ).
tff(c_73335,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72087,c_200,c_73334]) ).
tff(c_73336,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_73335]) ).
tff(c_73379,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73336,c_73323,c_72]) ).
tff(c_73380,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_73379]) ).
tff(c_73381,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_73380]) ).
tff(c_73410,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73336,c_73381,c_73323,c_76]) ).
tff(c_73411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_73351,c_196,c_73410]) ).
tff(c_73412,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_73380]) ).
tff(c_73418,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73412,c_168]) ).
tff(c_73453,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_73260,c_88]) ).
tff(c_73454,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_73418,c_202,c_73453]) ).
tff(c_73485,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_73454,c_73260,c_84]) ).
tff(c_73486,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_73485]) ).
tff(c_73303,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73273,c_112]) ).
tff(c_73357,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72088,c_73303,c_72103,c_14]) ).
tff(c_73368,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_73357,c_73273,c_64]) ).
tff(c_73369,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_73368]) ).
tff(c_73524,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73486,c_73369,c_73369,c_73273,c_73486,c_73369,c_762]) ).
tff(c_73525,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_73335]) ).
tff(c_73530,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73525,c_162]) ).
tff(c_73547,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_73273,c_64]) ).
tff(c_73548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_72088,c_73530,c_204,c_73547]) ).
tff(c_73549,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_73272]) ).
tff(c_73562,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_73549,c_64]) ).
tff(c_73563,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_72088,c_200,c_73562]) ).
tff(c_73261,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_72123]) ).
tff(c_72112,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_142]) ).
tff(c_73574,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_40]) ).
tff(c_73575,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_73574]) ).
tff(c_73576,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_73575]) ).
tff(c_73580,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73576,c_164]) ).
tff(c_73581,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73576,c_98]) ).
tff(c_73670,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_73581,c_53011,c_2]) ).
tff(c_73555,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73549,c_112]) ).
tff(c_73588,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72088,c_72103,c_73555,c_14]) ).
tff(c_73592,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73588,c_174]) ).
tff(c_73579,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73576,c_160]) ).
tff(c_73600,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72104,c_73579,c_72]) ).
tff(c_73601,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_73600]) ).
tff(c_73607,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73601,c_180]) ).
tff(c_73624,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_73260,c_88]) ).
tff(c_73625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_73607,c_73580,c_202,c_73624]) ).
tff(c_73627,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_73600]) ).
tff(c_73706,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72087,c_73592,c_73627,c_22]) ).
tff(c_73567,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73563,c_162]) ).
tff(c_73660,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_73567,c_73579,c_20]) ).
tff(c_73661,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_73660]) ).
tff(c_73790,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73670,c_73549,c_73549,c_73706,c_73661,c_73661,c_72098,c_72085,c_72085,c_73670,c_53007,c_53007,c_398]) ).
tff(c_73791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_196,c_196,c_73790]) ).
tff(c_73792,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_73660]) ).
tff(c_73797,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73792,c_168]) ).
tff(c_73803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73261,c_72112,c_73580,c_73797,c_28]) ).
tff(c_73804,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_73575]) ).
tff(c_73808,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73804,c_148]) ).
tff(c_73824,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72104,c_73808,c_72]) ).
tff(c_73825,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_73824]) ).
tff(c_73805,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_73575]) ).
tff(c_73888,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72090,c_73805,c_53010,c_4]) ).
tff(c_596,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_74013,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_73260,c_73260,c_73825,c_73888,c_73888,c_72098,c_72085,c_72085,c_73825,c_72098,c_72098,c_596]) ).
tff(c_74014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_196,c_202,c_74013]) ).
tff(c_74015,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_73824]) ).
tff(c_74021,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74015,c_126]) ).
tff(c_73814,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72088,c_72103,c_73555,c_14]) ).
tff(c_74051,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73814,c_72085,c_66]) ).
tff(c_74052,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_74051]) ).
tff(c_74053,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_74052]) ).
tff(c_74071,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74053,c_73814,c_72085,c_70]) ).
tff(c_74072,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_74021,c_198,c_202,c_74071]) ).
tff(c_74073,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_74052]) ).
tff(c_644,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_74213,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72098,c_73260,c_73260,c_72098,c_73563,c_73563,c_73804,c_74073,c_74073,c_74073,c_72098,c_72098,c_644]) ).
tff(c_74214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_198,c_200,c_74213]) ).
tff(c_74215,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_75298,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_74215]) ).
tff(c_75302,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75298,c_152]) ).
tff(c_74216,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_75309,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_53007,c_90]) ).
tff(c_75310,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_74216,c_198,c_196,c_75309]) ).
tff(c_75368,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_72091,c_75302,c_53011,c_2]) ).
tff(c_75304,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75298,c_156]) ).
tff(c_74228,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_74231,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74228,c_150]) ).
tff(c_74220,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_116]) ).
tff(c_74239,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_74215]) ).
tff(c_74244,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74239,c_152]) ).
tff(c_74276,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72090,c_53010,c_4]) ).
tff(c_74277,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_74276]) ).
tff(c_74280,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74277,c_158]) ).
tff(c_74219,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_118]) ).
tff(c_74245,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74239,c_154]) ).
tff(c_74250,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74231,c_74220,c_10]) ).
tff(c_74251,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_74250]) ).
tff(c_74252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74245,c_74251]) ).
tff(c_74253,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_74250]) ).
tff(c_74271,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74253,c_110]) ).
tff(c_74330,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_74280,c_74219,c_74271,c_12]) ).
tff(c_74290,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_74277,c_40]) ).
tff(c_74291,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_74290]) ).
tff(c_74230,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74228,c_128]) ).
tff(c_74222,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_186]) ).
tff(c_74255,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_74230,c_74222,c_53013,c_24]) ).
tff(c_74259,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74255,c_132]) ).
tff(c_74223,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_190]) ).
tff(c_74303,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_74216,c_74223,c_53014,c_32]) ).
tff(c_74307,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74303,c_142]) ).
tff(c_74241,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74239,c_134]) ).
tff(c_74242,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74239,c_136]) ).
tff(c_74342,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72089,c_74242,c_30]) ).
tff(c_74343,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_74342]) ).
tff(c_74346,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74343,c_138]) ).
tff(c_74376,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_74307,c_74241,c_74346,c_28]) ).
tff(c_74347,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74343,c_180]) ).
tff(c_74386,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72087,c_74259,c_74347,c_22]) ).
tff(c_74469,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74303,c_74228,c_74228,c_74291,c_74376,c_74376,c_74291,c_74386,c_74386,c_74386,c_74255,c_74255,c_578]) ).
tff(c_74470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_198,c_196,c_74469]) ).
tff(c_74471,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_74342]) ).
tff(c_74476,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74471,c_180]) ).
tff(c_74516,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72087,c_74259,c_74476,c_22]) ).
tff(c_74596,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74330,c_74291,c_74291,c_74516,c_74277,c_74277,c_74303,c_72085,c_72085,c_74516,c_74255,c_74255,c_210]) ).
tff(c_74597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_200,c_198,c_74596]) ).
tff(c_74598,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_74276]) ).
tff(c_74617,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74598,c_98]) ).
tff(c_74625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_74244,c_74617,c_53011,c_2]) ).
tff(c_74626,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_74215]) ).
tff(c_74640,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_74626]) ).
tff(c_74645,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74640,c_178]) ).
tff(c_74221,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_120]) ).
tff(c_74663,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72088,c_74645,c_74221,c_14]) ).
tff(c_74668,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74663,c_112]) ).
tff(c_74763,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_74231,c_74220,c_74668,c_10]) ).
tff(c_74651,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72090,c_53010,c_4]) ).
tff(c_74652,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_74651]) ).
tff(c_74674,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_74652,c_40]) ).
tff(c_74675,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_74674]) ).
tff(c_74834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_74763,c_74675,c_74675,c_72085,c_74763,c_74675,c_740]) ).
tff(c_74835,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_74651]) ).
tff(c_74842,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74835,c_98]) ).
tff(c_74861,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_74842,c_53011,c_2]) ).
tff(c_74865,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74861,c_146]) ).
tff(c_74848,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72088,c_74645,c_74221,c_14]) ).
tff(c_74853,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74848,c_112]) ).
tff(c_74891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74231,c_74865,c_74220,c_74853,c_10]) ).
tff(c_74892,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_74626]) ).
tff(c_74899,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74892,c_164]) ).
tff(c_74233,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74228,c_122]) ).
tff(c_74628,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_53007,c_90]) ).
tff(c_74629,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_74216,c_198,c_196,c_74628]) ).
tff(c_74634,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74629,c_130]) ).
tff(c_74904,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_40]) ).
tff(c_74905,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_74904]) ).
tff(c_74906,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_74905]) ).
tff(c_74910,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74906,c_160]) ).
tff(c_75179,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_74233,c_74634,c_74910,c_20]) ).
tff(c_75037,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_74906,c_44]) ).
tff(c_75038,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_75037]) ).
tff(c_74893,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_74626]) ).
tff(c_74949,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_74231,c_74220,c_10]) ).
tff(c_74950,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_74949]) ).
tff(c_74955,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74950,c_112]) ).
tff(c_74633,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74629,c_132]) ).
tff(c_74940,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_74233,c_74634,c_74910,c_20]) ).
tff(c_74944,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74940,c_126]) ).
tff(c_74960,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72087,c_74633,c_74944,c_22]) ).
tff(c_74970,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74960,c_72085,c_74]) ).
tff(c_74971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74893,c_198,c_74955,c_204,c_74970]) ).
tff(c_74972,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_74949]) ).
tff(c_74919,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_74216,c_74223,c_53014,c_32]) ).
tff(c_74897,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74892,c_166]) ).
tff(c_74929,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74897,c_74219,c_12]) ).
tff(c_74930,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_74929]) ).
tff(c_74988,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_70]) ).
tff(c_74989,plain,
( ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74221,c_202,c_74988]) ).
tff(c_74990,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_74989]) ).
tff(c_74995,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74990,c_180]) ).
tff(c_75012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72087,c_74633,c_74995,c_74944,c_22]) ).
tff(c_75013,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_74989]) ).
tff(c_75165,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75038,c_74972,c_74972,c_74919,c_74930,c_74930,c_74930,c_75013,c_75013,c_74930,c_72097,c_72097,c_384]) ).
tff(c_75166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_204,c_202,c_75165]) ).
tff(c_75167,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_74929]) ).
tff(c_75171,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75167,c_162]) ).
tff(c_75189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_75179,c_75171]) ).
tff(c_75191,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_74905]) ).
tff(c_75295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72090,c_74899,c_75191,c_53010,c_4]) ).
tff(c_75296,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_75321,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_75304,c_75296]) ).
tff(c_75322,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_75321]) ).
tff(c_75333,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75310,c_75322,c_72]) ).
tff(c_75334,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_75333]) ).
tff(c_75335,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_75334]) ).
tff(c_75356,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75310,c_75335,c_75322,c_80]) ).
tff(c_75357,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_75356]) ).
tff(c_75362,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75357,c_162]) ).
tff(c_75303,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75298,c_154]) ).
tff(c_75326,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75322,c_150]) ).
tff(c_75380,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_75303,c_74220,c_75326,c_10]) ).
tff(c_75412,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_75380,c_60]) ).
tff(c_75413,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_75412]) ).
tff(c_75414,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_75413]) ).
tff(c_75420,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75414,c_114]) ).
tff(c_75427,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_75362,c_75420,c_74219,c_12]) ).
tff(c_75346,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_74216,c_74223,c_53014,c_32]) ).
tff(c_75350,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75346,c_142]) ).
tff(c_75299,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75298,c_134]) ).
tff(c_75300,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75298,c_136]) ).
tff(c_75341,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75335,c_180]) ).
tff(c_75390,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72089,c_75300,c_75341,c_30]) ).
tff(c_75394,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75390,c_138]) ).
tff(c_75400,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_75350,c_75299,c_75394,c_28]) ).
tff(c_75540,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75368,c_75322,c_75322,c_75427,c_75400,c_75400,c_75427,c_75335,c_75335,c_75335,c_75310,c_75310,c_578]) ).
tff(c_75541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_198,c_75540]) ).
tff(c_75542,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_75413]) ).
tff(c_75546,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75542,c_158]) ).
tff(c_75558,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_75368,c_44]) ).
tff(c_75559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_75546,c_198,c_75558]) ).
tff(c_75560,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_75334]) ).
tff(c_75629,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75310,c_75560,c_75322,c_80]) ).
tff(c_75630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_72087,c_202,c_200,c_75629]) ).
tff(c_75631,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_75321]) ).
tff(c_75635,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75631,c_148]) ).
tff(c_75646,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_75302,c_75635,c_53011,c_2]) ).
tff(c_75647,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_74215]) ).
tff(c_75649,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_75647]) ).
tff(c_75655,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75649,c_180]) ).
tff(c_76178,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_74216,c_74223,c_53014,c_32]) ).
tff(c_76184,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76178,c_192]) ).
tff(c_75654,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75649,c_178]) ).
tff(c_75660,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72088,c_75654,c_74221,c_14]) ).
tff(c_75665,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75660,c_112]) ).
tff(c_75941,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74220,c_75665,c_10]) ).
tff(c_75942,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_75941]) ).
tff(c_75947,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75942,c_110]) ).
tff(c_75666,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75660,c_114]) ).
tff(c_76035,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_75947,c_74219,c_75666,c_12]) ).
tff(c_76039,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76035,c_158]) ).
tff(c_75652,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75649,c_138]) ).
tff(c_75685,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_74216,c_74223,c_53014,c_32]) ).
tff(c_75689,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75685,c_140]) ).
tff(c_75648,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_74215]) ).
tff(c_75706,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75685,c_75649,c_88]) ).
tff(c_75707,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_75706]) ).
tff(c_75708,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_75707]) ).
tff(c_75711,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75708,c_134]) ).
tff(c_75671,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_75296]) ).
tff(c_75678,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75671,c_156]) ).
tff(c_75742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75689,c_75648,c_75711,c_75678,c_26]) ).
tff(c_75743,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_75707]) ).
tff(c_75751,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75743,c_152]) ).
tff(c_75757,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_75751,c_53011,c_2]) ).
tff(c_75762,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75757,c_98]) ).
tff(c_75677,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75671,c_122]) ).
tff(c_75683,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_75677,c_20]) ).
tff(c_75684,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_75683]) ).
tff(c_75769,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75684,c_58]) ).
tff(c_75770,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_75652,c_204,c_75762,c_75769]) ).
tff(c_75701,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75684,c_168]) ).
tff(c_75744,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_75707]) ).
tff(c_75850,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_75701,c_75652,c_75744,c_28]) ).
tff(c_75697,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75684,c_130]) ).
tff(c_75806,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_75697,c_74222,c_53013,c_24]) ).
tff(c_75825,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75806,c_75684,c_75671,c_72]) ).
tff(c_75826,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_75825]) ).
tff(c_75925,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75770,c_75743,c_75743,c_75757,c_75850,c_75850,c_75685,c_72085,c_72085,c_75826,c_75806,c_75806,c_690]) ).
tff(c_75926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_198,c_75925]) ).
tff(c_75927,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_75683]) ).
tff(c_75929,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_75927]) ).
tff(c_75933,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75929,c_160]) ).
tff(c_76055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72090,c_76039,c_75933,c_53010,c_4]) ).
tff(c_76056,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_75941]) ).
tff(c_76060,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76056,c_146]) ).
tff(c_76128,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75649,c_84]) ).
tff(c_76129,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_53014,c_196,c_75678,c_76128]) ).
tff(c_76151,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75649,c_76129,c_88]) ).
tff(c_76152,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_74223,c_198,c_194,c_76151]) ).
tff(c_76156,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76152,c_152]) ).
tff(c_76163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_76060,c_76156,c_53011,c_2]) ).
tff(c_76164,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_75927]) ).
tff(c_76168,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76164,c_130]) ).
tff(c_76212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76184,c_76168,c_74222,c_53013,c_24]) ).
tff(c_76213,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_75296]) ).
tff(c_76293,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_76213]) ).
tff(c_76296,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76293,c_148]) ).
tff(c_76215,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72090,c_53010,c_4]) ).
tff(c_76216,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_76215]) ).
tff(c_76219,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76216,c_158]) ).
tff(c_76251,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_76219,c_74219,c_75666,c_12]) ).
tff(c_76257,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76251,c_110]) ).
tff(c_76227,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_76213]) ).
tff(c_76232,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76227,c_150]) ).
tff(c_76262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76257,c_76232,c_74220,c_75665,c_10]) ).
tff(c_76263,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_76213]) ).
tff(c_76268,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76263,c_148]) ).
tff(c_76278,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_76216,c_40]) ).
tff(c_76279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_76268,c_76278]) ).
tff(c_76280,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_76215]) ).
tff(c_76287,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76280,c_98]) ).
tff(c_76330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_76296,c_76287,c_53011,c_2]) ).
tff(c_76331,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_76213]) ).
tff(c_76340,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76331,c_124]) ).
tff(c_75664,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_75660,c_174]) ).
tff(c_76403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72087,c_75655,c_76340,c_75664,c_22]) ).
tff(c_76404,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_75647]) ).
tff(c_76798,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76404,c_96]) ).
tff(c_76799,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72089,c_204,c_76798]) ).
tff(c_76800,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_76799]) ).
tff(c_76409,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76404,c_166]) ).
tff(c_76835,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_76409,c_74219,c_12]) ).
tff(c_76836,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_76835]) ).
tff(c_76841,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_110]) ).
tff(c_76411,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76404,c_164]) ).
tff(c_76464,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_76409,c_74219,c_12]) ).
tff(c_76465,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_76464]) ).
tff(c_76468,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76465,c_162]) ).
tff(c_76410,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76404,c_168]) ).
tff(c_76452,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_72090,c_76411,c_53010,c_4]) ).
tff(c_76457,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76452,c_160]) ).
tff(c_76416,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_75296]) ).
tff(c_76424,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76416,c_122]) ).
tff(c_76487,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76468,c_76410,c_76457,c_76424,c_20]) ).
tff(c_76488,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_76464]) ).
tff(c_76439,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76404,c_96]) ).
tff(c_76440,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72089,c_204,c_76439]) ).
tff(c_76441,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_76440]) ).
tff(c_76445,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76441,c_140]) ).
tff(c_76425,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76416,c_156]) ).
tff(c_76519,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_76445,c_75648,c_76425,c_26]) ).
tff(c_76447,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76441,c_192]) ).
tff(c_76500,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_76447,c_74222,c_53013,c_24]) ).
tff(c_76510,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_76410,c_76457,c_76424,c_20]) ).
tff(c_76556,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76500,c_76510,c_76416,c_72]) ).
tff(c_76557,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_76556]) ).
tff(c_76417,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72091,c_53011,c_2]) ).
tff(c_76418,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_76417]) ).
tff(c_76670,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76488,c_76519,c_76519,c_76557,c_76404,c_76404,c_76488,c_76557,c_76557,c_76418,c_53007,c_53007,c_702]) ).
tff(c_76671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_196,c_196,c_76670]) ).
tff(c_76673,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_76440]) ).
tff(c_76683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76673,c_74216,c_74223,c_53014,c_32]) ).
tff(c_76684,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_76417]) ).
tff(c_76714,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76684,c_98]) ).
tff(c_76744,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72090,c_76411,c_76714,c_53010,c_4]) ).
tff(c_76745,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_75296]) ).
tff(c_76747,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_76745]) ).
tff(c_76750,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76747,c_148]) ).
tff(c_76760,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_72091,c_76750,c_53011,c_2]) ).
tff(c_76766,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76760,c_98]) ).
tff(c_76795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72090,c_76411,c_76766,c_53010,c_4]) ).
tff(c_76796,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_76745]) ).
tff(c_76813,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76796,c_148]) ).
tff(c_76863,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_76813,c_53011,c_2]) ).
tff(c_76867,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76863,c_146]) ).
tff(c_76804,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76800,c_140]) ).
tff(c_76818,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76796,c_156]) ).
tff(c_76886,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_76804,c_75648,c_76818,c_26]) ).
tff(c_76891,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76886,c_154]) ).
tff(c_76901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76841,c_76867,c_74220,c_76891,c_10]) ).
tff(c_76902,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_76835]) ).
tff(c_76907,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76902,c_114]) ).
tff(c_76935,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72088,c_74221,c_76907,c_14]) ).
tff(c_76972,plain,
( ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72097,c_76935,c_76902,c_64]) ).
tff(c_76973,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_76972]) ).
tff(c_76817,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76796,c_122]) ).
tff(c_76906,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_76902,c_162]) ).
tff(c_77011,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_76410,c_76817,c_76906,c_20]) ).
tff(c_76948,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76800,c_76404,c_88]) ).
tff(c_76949,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_76818,c_76948]) ).
tff(c_76925,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_76813,c_53011,c_2]) ).
tff(c_422,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_77098,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76800,c_76973,c_76973,c_76800,c_77011,c_77011,c_76902,c_76949,c_76949,c_76925,c_53007,c_53007,c_422]) ).
tff(c_77099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_196,c_77098]) ).
tff(c_77101,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_76799]) ).
tff(c_77173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77101,c_74216,c_74223,c_53014,c_32]) ).
tff(c_77174,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_72096]) ).
tff(c_77182,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_190]) ).
tff(c_80278,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_77182,c_92]) ).
tff(c_80279,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_80278]) ).
tff(c_80281,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80279,c_136]) ).
tff(c_77179,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_116]) ).
tff(c_81805,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72090,c_53010,c_4]) ).
tff(c_81806,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_81805]) ).
tff(c_81812,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81806,c_98]) ).
tff(c_77181,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_186]) ).
tff(c_78320,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77182,c_53014,c_32]) ).
tff(c_78321,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_78320]) ).
tff(c_78327,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_192]) ).
tff(c_77180,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_120]) ).
tff(c_77188,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_77190,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77188,c_128]) ).
tff(c_77199,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53014,c_32]) ).
tff(c_77200,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_77199]) ).
tff(c_77203,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_142]) ).
tff(c_77191,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77188,c_150]) ).
tff(c_77330,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_77191,c_77179,c_10]) ).
tff(c_77331,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_77330]) ).
tff(c_77334,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77331,c_146]) ).
tff(c_77211,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72090,c_53010,c_4]) ).
tff(c_77212,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_77211]) ).
tff(c_77377,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_77212,c_40]) ).
tff(c_77378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_77334,c_77377]) ).
tff(c_77379,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_77330]) ).
tff(c_77385,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77379,c_112]) ).
tff(c_77401,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_77385,c_14]) ).
tff(c_77427,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_77401,c_77379,c_64]) ).
tff(c_77428,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_77427]) ).
tff(c_77476,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_77212,c_40]) ).
tff(c_77477,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_77476]) ).
tff(c_77217,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77212,c_164]) ).
tff(c_77223,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_92]) ).
tff(c_77224,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_77217,c_77223]) ).
tff(c_77225,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_77224]) ).
tff(c_77229,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77225,c_136]) ).
tff(c_77253,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_77212,c_40]) ).
tff(c_77254,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_77253]) ).
tff(c_77258,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77254,c_146]) ).
tff(c_77286,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_77191,c_77179,c_77258,c_10]) ).
tff(c_77315,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77188,c_77286,c_77254,c_42]) ).
tff(c_77316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77229,c_204,c_196,c_198,c_77315]) ).
tff(c_77318,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_77224]) ).
tff(c_77406,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77401,c_178]) ).
tff(c_77439,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72089,c_77318,c_77406,c_30]) ).
tff(c_77467,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77439,c_77401,c_72085,c_74]) ).
tff(c_77468,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_77467]) ).
tff(c_214,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_77563,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77428,c_77477,c_77477,c_77468,c_77212,c_77212,c_77428,c_77401,c_77401,c_77477,c_53007,c_53007,c_214]) ).
tff(c_77564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_202,c_194,c_77563]) ).
tff(c_77565,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_77211]) ).
tff(c_77571,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77565,c_164]) ).
tff(c_77193,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77188,c_122]) ).
tff(c_77570,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77565,c_160]) ).
tff(c_77955,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_77193,c_77570,c_20]) ).
tff(c_77956,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_77955]) ).
tff(c_77961,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77956,c_126]) ).
tff(c_77178,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_118]) ).
tff(c_77569,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77565,c_158]) ).
tff(c_77578,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_14]) ).
tff(c_77579,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_77578]) ).
tff(c_77583,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77579,c_112]) ).
tff(c_77590,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_77191,c_77179,c_10]) ).
tff(c_77591,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_77590]) ).
tff(c_77592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77583,c_77591]) ).
tff(c_77593,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_77590]) ).
tff(c_77600,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77593,c_110]) ).
tff(c_77688,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_77178,c_77569,c_77600,c_12]) ).
tff(c_77582,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77579,c_174]) ).
tff(c_77599,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77593,c_154]) ).
tff(c_77616,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_84]) ).
tff(c_77617,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_77599,c_77616]) ).
tff(c_77618,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_77617]) ).
tff(c_77623,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77618,c_180]) ).
tff(c_77700,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72087,c_77582,c_77623,c_22]) ).
tff(c_504,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_77790,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_77188,c_77188,c_77200,c_77688,c_77688,c_77688,c_77579,c_77579,c_77700,c_77174,c_77174,c_504]) ).
tff(c_77791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_202,c_198,c_77790]) ).
tff(c_77792,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_77617]) ).
tff(c_77584,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77579,c_178]) ).
tff(c_77817,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_77792,c_88]) ).
tff(c_77818,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_77584,c_194,c_77817]) ).
tff(c_77827,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_77792,c_77818,c_92]) ).
tff(c_77828,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_77827]) ).
tff(c_77832,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77828,c_180]) ).
tff(c_77855,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72087,c_77832,c_77582,c_22]) ).
tff(c_77799,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77792,c_168]) ).
tff(c_77845,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_77193,c_77570,c_77799,c_20]) ).
tff(c_77878,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77855,c_77845,c_77188,c_72]) ).
tff(c_77879,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_77878]) ).
tff(c_77952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_77855,c_77855,c_77879,c_72085,c_77855,c_720]) ).
tff(c_77953,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_77578]) ).
tff(c_77969,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77953,c_174]) ).
tff(c_78048,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72087,c_77961,c_77969,c_22]) ).
tff(c_78053,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78048,c_180]) ).
tff(c_77194,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77188,c_156]) ).
tff(c_77970,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77953,c_112]) ).
tff(c_77978,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_77191,c_77179,c_77970,c_10]) ).
tff(c_77983,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77978,c_154]) ).
tff(c_77989,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_77194,c_77983,c_26]) ).
tff(c_77990,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_77989]) ).
tff(c_77995,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77990,c_152]) ).
tff(c_77572,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77565,c_98]) ).
tff(c_78016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_77995,c_77572,c_53011,c_2]) ).
tff(c_78017,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_77989]) ).
tff(c_78068,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77200,c_78017,c_88]) ).
tff(c_78069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_78053,c_77571,c_194,c_78068]) ).
tff(c_78070,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_77955]) ).
tff(c_78088,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78070,c_168]) ).
tff(c_78143,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_77203,c_77571,c_78088,c_28]) ).
tff(c_78086,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78070,c_162]) ).
tff(c_78165,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_77178,c_77569,c_78086,c_12]) ).
tff(c_78252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78143,c_78165,c_78165,c_77953,c_78143,c_78165,c_734]) ).
tff(c_78253,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_77199]) ).
tff(c_78255,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_77182,c_78253]) ).
tff(c_78262,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78255,c_192]) ).
tff(c_78317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77190,c_77181,c_78262,c_53013,c_24]) ).
tff(c_78318,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_78332,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_78318]) ).
tff(c_78338,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78332,c_122]) ).
tff(c_78690,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_14]) ).
tff(c_78691,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_78690]) ).
tff(c_78695,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78691,c_112]) ).
tff(c_78336,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78332,c_150]) ).
tff(c_78713,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_77179,c_78695,c_78336,c_10]) ).
tff(c_78344,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_78348,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78344,c_162]) ).
tff(c_78697,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78691,c_114]) ).
tff(c_78702,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_78348,c_77178,c_78697,c_12]) ).
tff(c_78359,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72091,c_53011,c_2]) ).
tff(c_78360,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_78359]) ).
tff(c_78365,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78360,c_98]) ).
tff(c_78647,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_72090,c_78365,c_53010,c_4]) ).
tff(c_78651,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78647,c_158]) ).
tff(c_78370,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_14]) ).
tff(c_78371,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_78370]) ).
tff(c_78375,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78371,c_112]) ).
tff(c_78382,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_77179,c_78375,c_78336,c_10]) ).
tff(c_78374,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78371,c_174]) ).
tff(c_78337,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78332,c_124]) ).
tff(c_78392,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72087,c_78374,c_78337,c_22]) ).
tff(c_78397,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78392,c_180]) ).
tff(c_78364,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78360,c_152]) ).
tff(c_78402,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_92]) ).
tff(c_78403,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_78397,c_78364,c_78402]) ).
tff(c_78556,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_78382,c_78382,c_78392,c_78403,c_78403,c_78321,c_72085,c_72085,c_78360,c_53007,c_53007,c_430]) ).
tff(c_78557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_196,c_78556]) ).
tff(c_78558,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_78370]) ).
tff(c_78565,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78558,c_114]) ).
tff(c_78677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78348,c_77178,c_78651,c_78565,c_12]) ).
tff(c_78678,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_78359]) ).
tff(c_78683,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78678,c_152]) ).
tff(c_78707,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78702,c_166]) ).
tff(c_78339,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78332,c_156]) ).
tff(c_78722,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_84]) ).
tff(c_78723,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_78707,c_78339,c_78722]) ).
tff(c_78757,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_78723,c_88]) ).
tff(c_78758,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_78683,c_78757]) ).
tff(c_78694,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78691,c_174]) ).
tff(c_78733,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72087,c_78694,c_78337,c_22]) ).
tff(c_78875,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_78713,c_78713,c_78702,c_78758,c_78758,c_78702,c_78691,c_78691,c_78733,c_77174,c_77174,c_440]) ).
tff(c_78876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_194,c_198,c_78875]) ).
tff(c_78877,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_78690]) ).
tff(c_78885,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78877,c_114]) ).
tff(c_78890,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_78348,c_77178,c_12]) ).
tff(c_78891,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_78890]) ).
tff(c_78895,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78891,c_166]) ).
tff(c_78902,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78877,c_72085,c_74]) ).
tff(c_78903,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_78902]) ).
tff(c_78904,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_78903]) ).
tff(c_78936,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_78904,c_88]) ).
tff(c_78937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_78895,c_78683,c_78936]) ).
tff(c_78938,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_78903]) ).
tff(c_78894,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78891,c_158]) ).
tff(c_78988,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72090,c_78894,c_53010,c_4]) ).
tff(c_79004,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_78327,c_77181,c_53013,c_24]) ).
tff(c_79089,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78891,c_78678,c_78678,c_78938,c_78988,c_78988,c_78321,c_72085,c_72085,c_78891,c_79004,c_79004,c_210]) ).
tff(c_79090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_198,c_79089]) ).
tff(c_79091,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_78890]) ).
tff(c_79093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78885,c_79091]) ).
tff(c_79094,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_79098,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_78338,c_79094]) ).
tff(c_79099,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_79098]) ).
tff(c_79195,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79099,c_78332,c_80]) ).
tff(c_79196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78327,c_72087,c_202,c_200,c_79195]) ).
tff(c_79197,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_79098]) ).
tff(c_79205,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79197,c_126]) ).
tff(c_79225,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77179,c_78336,c_10]) ).
tff(c_79226,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_79225]) ).
tff(c_79232,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79226,c_110]) ).
tff(c_79211,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_74]) ).
tff(c_79212,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_77180,c_204,c_79211]) ).
tff(c_79213,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_79212]) ).
tff(c_79247,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_79213,c_84]) ).
tff(c_79248,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_78339,c_79247]) ).
tff(c_79271,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79248,c_79197,c_54]) ).
tff(c_79272,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_79271]) ).
tff(c_79273,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_79272]) ).
tff(c_79203,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79197,c_160]) ).
tff(c_79274,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_72090,c_79203,c_53010,c_4]) ).
tff(c_79278,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79274,c_158]) ).
tff(c_79292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_79273,c_79278]) ).
tff(c_79294,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_79272]) ).
tff(c_79252,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79248,c_166]) ).
tff(c_79334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79232,c_77178,c_79294,c_79252,c_12]) ).
tff(c_79335,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_79225]) ).
tff(c_79340,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79335,c_154]) ).
tff(c_79348,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_79213,c_84]) ).
tff(c_79349,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_78339,c_79348]) ).
tff(c_79370,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_79213,c_79349,c_88]) ).
tff(c_79371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_79340,c_79370]) ).
tff(c_79372,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_79212]) ).
tff(c_79374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79205,c_79372]) ).
tff(c_79375,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_78318]) ).
tff(c_79733,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_79375]) ).
tff(c_79741,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79733,c_124]) ).
tff(c_79760,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72087,c_79741,c_22]) ).
tff(c_79761,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_79760]) ).
tff(c_79742,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79733,c_122]) ).
tff(c_79765,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79761,c_126]) ).
tff(c_79377,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77178,c_12]) ).
tff(c_79378,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_79377]) ).
tff(c_79381,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79378,c_162]) ).
tff(c_79389,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_79375]) ).
tff(c_79392,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79389,c_148]) ).
tff(c_79397,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79389,c_156]) ).
tff(c_79395,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79389,c_124]) ).
tff(c_79402,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_84]) ).
tff(c_79403,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_79402]) ).
tff(c_79404,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_79403]) ).
tff(c_79408,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79404,c_178]) ).
tff(c_79414,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_79408,c_14]) ).
tff(c_79418,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79414,c_174]) ).
tff(c_79409,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79404,c_180]) ).
tff(c_79437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72087,c_79395,c_79418,c_79409,c_22]) ).
tff(c_79438,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_79403]) ).
tff(c_79440,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_79438]) ).
tff(c_79446,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79440,c_154]) ).
tff(c_79384,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79378,c_110]) ).
tff(c_79451,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_79384,c_77179,c_10]) ).
tff(c_79452,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_79451]) ).
tff(c_79456,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79452,c_146]) ).
tff(c_79532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_79392,c_79456,c_53011,c_2]) ).
tff(c_79533,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_79451]) ).
tff(c_79535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79446,c_79533]) ).
tff(c_79536,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_79438]) ).
tff(c_79547,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_79536,c_92]) ).
tff(c_79548,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_79397,c_79547]) ).
tff(c_79582,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_79548,c_79536,c_88]) ).
tff(c_79583,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_79582]) ).
tff(c_79587,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79583,c_152]) ).
tff(c_79618,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72091,c_79392,c_79587,c_53011,c_2]) ).
tff(c_79619,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_79375]) ).
tff(c_79627,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79619,c_122]) ).
tff(c_79625,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79619,c_150]) ).
tff(c_79628,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79619,c_156]) ).
tff(c_79645,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_84]) ).
tff(c_79646,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_79645]) ).
tff(c_79647,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_79646]) ).
tff(c_79657,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78321,c_79647,c_88]) ).
tff(c_79658,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_79628,c_79657]) ).
tff(c_79662,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79658,c_164]) ).
tff(c_79623,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79619,c_148]) ).
tff(c_79634,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_79623,c_53011,c_2]) ).
tff(c_79670,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_79634,c_40]) ).
tff(c_79671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_79662,c_198,c_79670]) ).
tff(c_79672,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_79646]) ).
tff(c_79674,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_79672]) ).
tff(c_79680,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79674,c_154]) ).
tff(c_79687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79384,c_77179,c_79625,c_79680,c_10]) ).
tff(c_79688,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_79672]) ).
tff(c_79693,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79688,c_168]) ).
tff(c_79707,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_79381,c_79627,c_79693,c_20]) ).
tff(c_79729,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79707,c_79619,c_80]) ).
tff(c_79730,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78327,c_72087,c_204,c_202,c_79729]) ).
tff(c_79731,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_79377]) ).
tff(c_79748,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_79731]) ).
tff(c_79752,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79748,c_162]) ).
tff(c_79776,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_79742,c_79765,c_79752,c_20]) ).
tff(c_79810,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79761,c_79776,c_79733,c_68]) ).
tff(c_79811,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53013,c_194,c_200,c_196,c_79810]) ).
tff(c_79812,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_79760]) ).
tff(c_79852,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_78327,c_77181,c_53013,c_24]) ).
tff(c_80017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_72085,c_79812,c_79812,c_79852,c_72085,c_79812,c_720]) ).
tff(c_80018,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_79731]) ).
tff(c_80025,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80018,c_114]) ).
tff(c_80032,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72087,c_79741,c_22]) ).
tff(c_80033,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_80032]) ).
tff(c_80036,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80033,c_132]) ).
tff(c_80183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78327,c_77181,c_80036,c_53013,c_24]) ).
tff(c_80184,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_80032]) ).
tff(c_80203,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80184,c_174]) ).
tff(c_80231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_80025,c_80203,c_14]) ).
tff(c_80232,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_79375]) ).
tff(c_80237,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80232,c_128]) ).
tff(c_80275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78327,c_77181,c_80237,c_53013,c_24]) ).
tff(c_80276,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_78320]) ).
tff(c_80294,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_192]) ).
tff(c_81074,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_77181,c_80294,c_53013,c_24]) ).
tff(c_81078,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81074,c_130]) ).
tff(c_80302,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_78318]) ).
tff(c_80306,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80302,c_150]) ).
tff(c_80363,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77179,c_80306,c_10]) ).
tff(c_80364,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_80363]) ).
tff(c_80309,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80302,c_156]) ).
tff(c_80314,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_96]) ).
tff(c_80315,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_80314]) ).
tff(c_80316,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_80315]) ).
tff(c_80349,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_80316,c_84]) ).
tff(c_80350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_80309,c_80349]) ).
tff(c_80351,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_80315]) ).
tff(c_80358,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80351,c_154]) ).
tff(c_80375,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80364,c_80358]) ).
tff(c_80376,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_80363]) ).
tff(c_80382,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80376,c_112]) ).
tff(c_80402,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_80382,c_14]) ).
tff(c_80485,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_80402,c_80376,c_64]) ).
tff(c_80486,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_80485]) ).
tff(c_80381,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80376,c_146]) ).
tff(c_80494,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72091,c_80381,c_53011,c_2]) ).
tff(c_80390,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_80351,c_84]) ).
tff(c_80391,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_80390]) ).
tff(c_80285,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80279,c_180]) ).
tff(c_80307,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80302,c_124]) ).
tff(c_80429,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72087,c_80285,c_80307,c_22]) ).
tff(c_80477,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_77181,c_80294,c_53013,c_24]) ).
tff(c_450,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_80601,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80486,c_80376,c_80376,c_80494,c_80391,c_80391,c_80486,c_80429,c_80429,c_80276,c_80477,c_80477,c_450]) ).
tff(c_80602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_198,c_80601]) ).
tff(c_80603,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_78318]) ).
tff(c_80605,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_80603]) ).
tff(c_80612,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80605,c_122]) ).
tff(c_81051,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80605,c_72]) ).
tff(c_81052,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_80294,c_198,c_81051]) ).
tff(c_81053,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_81052]) ).
tff(c_81057,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81053,c_126]) ).
tff(c_80608,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80605,c_148]) ).
tff(c_80631,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_72091,c_80608,c_53011,c_2]) ).
tff(c_80618,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_96]) ).
tff(c_80619,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_80618]) ).
tff(c_80620,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_80619]) ).
tff(c_80625,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80620,c_168]) ).
tff(c_80652,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80605,c_72]) ).
tff(c_80653,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_80294,c_198,c_80652]) ).
tff(c_80654,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_80653]) ).
tff(c_80658,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80654,c_126]) ).
tff(c_80637,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80631,c_98]) ).
tff(c_80642,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72090,c_80637,c_53010,c_4]) ).
tff(c_80675,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80620,c_80642,c_50]) ).
tff(c_80676,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_80675]) ).
tff(c_80677,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_80676]) ).
tff(c_80759,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80620,c_80677,c_80642,c_54]) ).
tff(c_80760,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_80759]) ).
tff(c_80696,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_77181,c_80294,c_53013,c_24]) ).
tff(c_80818,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80760,c_80631,c_80631,c_80654,c_80642,c_80642,c_80276,c_72085,c_72085,c_80276,c_80696,c_80696,c_210]) ).
tff(c_80819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_194,c_198,c_80818]) ).
tff(c_80821,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_80676]) ).
tff(c_80850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80625,c_80612,c_80658,c_80821,c_20]) ).
tff(c_80851,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_80653]) ).
tff(c_80862,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80620,c_80851,c_80642,c_50]) ).
tff(c_80863,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_80862]) ).
tff(c_80868,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80863,c_110]) ).
tff(c_80875,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80605,c_80631,c_34]) ).
tff(c_80876,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_80868,c_194,c_80875]) ).
tff(c_80852,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_80653]) ).
tff(c_80924,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72087,c_80285,c_80852,c_22]) ).
tff(c_680,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_81026,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80631,c_80876,c_80876,c_80863,c_80851,c_80851,c_80924,c_80279,c_80279,c_80924,c_77174,c_77174,c_680]) ).
tff(c_81027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_200,c_194,c_81026]) ).
tff(c_81028,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_80619]) ).
tff(c_81039,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_81028,c_84]) ).
tff(c_81040,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_81039]) ).
tff(c_81045,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81040,c_168]) ).
tff(c_81113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81078,c_80612,c_81057,c_81045,c_20]) ).
tff(c_81114,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_81052]) ).
tff(c_81159,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81114,c_80605,c_80]) ).
tff(c_81160,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_72087,c_202,c_204,c_81159]) ).
tff(c_81216,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81160,c_81114,c_80605,c_68]) ).
tff(c_81217,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_81216]) ).
tff(c_81119,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81114,c_160]) ).
tff(c_81126,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_72090,c_81119,c_53010,c_4]) ).
tff(c_81147,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_81126,c_40]) ).
tff(c_81148,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_81147]) ).
tff(c_560,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_81299,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81217,c_80605,c_80605,c_81148,c_81040,c_81040,c_80276,c_72085,c_72085,c_81217,c_77174,c_77174,c_560]) ).
tff(c_81300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_194,c_194,c_81299]) ).
tff(c_81301,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_80603]) ).
tff(c_81902,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81301,c_42]) ).
tff(c_81903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80281,c_198,c_77179,c_81812,c_81902]) ).
tff(c_81904,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_81805]) ).
tff(c_81908,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81904,c_158]) ).
tff(c_81307,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81301,c_150]) ).
tff(c_81316,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_14]) ).
tff(c_81317,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_81316]) ).
tff(c_81322,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81317,c_114]) ).
tff(c_81339,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77179,c_81307,c_10]) ).
tff(c_81340,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_81339]) ).
tff(c_81429,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_81317,c_81340,c_52]) ).
tff(c_81430,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_81429]) ).
tff(c_81327,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_77181,c_80294,c_53013,c_24]) ).
tff(c_81332,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81327,c_130]) ).
tff(c_81350,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_44]) ).
tff(c_81351,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_81350]) ).
tff(c_81352,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_81351]) ).
tff(c_81356,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81352,c_160]) ).
tff(c_81309,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81301,c_122]) ).
tff(c_81363,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_81317,c_81340,c_52]) ).
tff(c_81364,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_81363]) ).
tff(c_81368,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81364,c_162]) ).
tff(c_81387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81332,c_81356,c_81309,c_81368,c_20]) ).
tff(c_81388,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_81351]) ).
tff(c_500,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_81559,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81430,c_81301,c_81301,c_81388,c_81430,c_81430,c_80276,c_72085,c_72085,c_81430,c_80276,c_80276,c_500]) ).
tff(c_81560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_194,c_200,c_81559]) ).
tff(c_81561,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_81339]) ).
tff(c_81579,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81561,c_110]) ).
tff(c_81656,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_77178,c_81322,c_81579,c_12]) ).
tff(c_81563,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_81332,c_81309,c_20]) ).
tff(c_81564,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_81563]) ).
tff(c_81567,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81564,c_160]) ).
tff(c_81608,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_72090,c_81567,c_53010,c_4]) ).
tff(c_81647,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_72085,c_81608,c_44]) ).
tff(c_81648,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_81647]) ).
tff(c_81597,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81301,c_81561,c_46]) ).
tff(c_81598,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_72091,c_81597]) ).
tff(c_81619,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_81598,c_84]) ).
tff(c_81620,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_81619]) ).
tff(c_81308,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81301,c_124]) ).
tff(c_81589,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72087,c_80285,c_81308,c_22]) ).
tff(c_582,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_81746,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81656,c_81301,c_81301,c_81648,c_81620,c_81620,c_81589,c_80279,c_80279,c_81648,c_53007,c_53007,c_582]) ).
tff(c_81747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_196,c_81746]) ).
tff(c_81748,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_81563]) ).
tff(c_81765,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81748,c_168]) ).
tff(c_81753,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81561,c_154]) ).
tff(c_81787,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_80279,c_84]) ).
tff(c_81788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_81765,c_81753,c_81787]) ).
tff(c_81789,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_81316]) ).
tff(c_81963,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_81789,c_56]) ).
tff(c_81964,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_81908,c_81307,c_81963]) ).
tff(c_81966,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_80278]) ).
tff(c_81971,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_144]) ).
tff(c_81978,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77179,c_10]) ).
tff(c_81979,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_81978]) ).
tff(c_81983,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81979,c_154]) ).
tff(c_81965,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_80278]) ).
tff(c_81990,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_81965]) ).
tff(c_82040,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_81990,c_96]) ).
tff(c_82041,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_72089,c_204,c_82040]) ).
tff(c_82069,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_82041,c_81990,c_84]) ).
tff(c_82070,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_82069]) ).
tff(c_82183,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_80276,c_80276,c_82070,c_77174,c_80276,c_730]) ).
tff(c_82184,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_81965]) ).
tff(c_82288,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_82184,c_96]) ).
tff(c_82289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_72089,c_204,c_81983,c_82288]) ).
tff(c_82290,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_81978]) ).
tff(c_82294,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_82290]) ).
tff(c_82299,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82294,c_154]) ).
tff(c_82474,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_81965]) ).
tff(c_82298,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82294,c_150]) ).
tff(c_82491,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82474,c_156]) ).
tff(c_82496,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_82298,c_82491,c_78318]) ).
tff(c_82520,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82474,c_82496,c_82294,c_46]) ).
tff(c_82521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_72091,c_82520]) ).
tff(c_82522,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_81965]) ).
tff(c_82609,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80276,c_82522,c_84]) ).
tff(c_82610,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_82299,c_82609]) ).
tff(c_82735,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77174,c_80276,c_80276,c_82610,c_77174,c_80276,c_730]) ).
tff(c_82736,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_82290]) ).
tff(c_82743,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82736,c_112]) ).
tff(c_83022,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_72088,c_77180,c_82743,c_14]) ).
tff(c_83026,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83022,c_178]) ).
tff(c_83043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72089,c_81966,c_81971,c_83026,c_30]) ).
tff(c_83044,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_72084]) ).
tff(c_83046,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_83044]) ).
tff(c_83052,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_102]) ).
tff(c_94164,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83052,c_53010,c_4]) ).
tff(c_94165,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_94164]) ).
tff(c_94171,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94165,c_98]) ).
tff(c_86910,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53012,c_72082]) ).
tff(c_86911,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_86910]) ).
tff(c_86918,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_190]) ).
tff(c_91108,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_91109,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_91108]) ).
tff(c_91110,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_91109]) ).
tff(c_91115,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91110,c_164]) ).
tff(c_87952,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_87953,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_87952]) ).
tff(c_87954,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_87953]) ).
tff(c_87957,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87954,c_158]) ).
tff(c_87960,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87954,c_98]) ).
tff(c_87594,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83052,c_53010,c_4]) ).
tff(c_87595,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_87594]) ).
tff(c_87599,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87595,c_160]) ).
tff(c_86923,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53014,c_32]) ).
tff(c_86924,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_86923]) ).
tff(c_87809,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_87810,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_87809]) ).
tff(c_87814,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87810,c_130]) ).
tff(c_86927,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_140]) ).
tff(c_87570,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_92]) ).
tff(c_87571,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_87570]) ).
tff(c_87572,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_87571]) ).
tff(c_87586,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87572,c_136]) ).
tff(c_86915,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_116]) ).
tff(c_83058,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_83060,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83058,c_150]) ).
tff(c_83062,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83058,c_112]) ).
tff(c_83130,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53012,c_72082]) ).
tff(c_83131,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_83130]) ).
tff(c_83137,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83131,c_190]) ).
tff(c_83051,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_176]) ).
tff(c_83142,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53014,c_32]) ).
tff(c_83143,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_83142]) ).
tff(c_83059,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83058,c_146]) ).
tff(c_83560,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_83131,c_53007,c_90]) ).
tff(c_83561,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_83560]) ).
tff(c_83149,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_192]) ).
tff(c_83136,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83131,c_186]) ).
tff(c_83049,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_172]) ).
tff(c_83069,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_83072,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83069,c_160]) ).
tff(c_83115,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_83072,c_83052,c_53010,c_4]) ).
tff(c_83126,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_83115,c_48]) ).
tff(c_83127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_83059,c_83126]) ).
tff(c_83128,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_83154,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_83128]) ).
tff(c_83177,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83154,c_72]) ).
tff(c_83178,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_83136,c_83049,c_194,c_83177]) ).
tff(c_83053,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_100]) ).
tff(c_83279,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83053,c_53011,c_2]) ).
tff(c_83166,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83052,c_53010,c_4]) ).
tff(c_83167,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_83166]) ).
tff(c_83388,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83178,c_83279,c_83279,c_83167,c_83178,c_83279,c_752]) ).
tff(c_83389,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_83166]) ).
tff(c_83408,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83389,c_98]) ).
tff(c_83391,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83154,c_72]) ).
tff(c_83392,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_83136,c_83049,c_194,c_83391]) ).
tff(c_83423,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83392,c_83058,c_42]) ).
tff(c_83424,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_83408,c_83423]) ).
tff(c_83445,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83424,c_83392,c_83058,c_34]) ).
tff(c_83446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_53011,c_83445]) ).
tff(c_83447,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_83128]) ).
tff(c_83449,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_83447]) ).
tff(c_83452,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83449,c_130]) ).
tff(c_83500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83149,c_83452,c_83136,c_53013,c_24]) ).
tff(c_83501,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_83447]) ).
tff(c_83507,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83501,c_122]) ).
tff(c_83531,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_83060,c_83507,c_18]) ).
tff(c_83532,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_83531]) ).
tff(c_83536,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83532,c_128]) ).
tff(c_83545,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_83131,c_53007,c_90]) ).
tff(c_83546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_83536,c_198,c_196,c_83545]) ).
tff(c_83547,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_83531]) ).
tff(c_83599,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83561,c_83501,c_83547,c_80]) ).
tff(c_83600,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_83599]) ).
tff(c_83609,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83053,c_53011,c_2]) ).
tff(c_83584,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_83585,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_83059,c_83584]) ).
tff(c_83516,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_92]) ).
tff(c_83517,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_83516]) ).
tff(c_83518,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_83517]) ).
tff(c_83523,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83518,c_178]) ).
tff(c_83050,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_170]) ).
tff(c_83645,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_83062,c_83523,c_83050,c_14]) ).
tff(c_83735,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83600,c_83609,c_83609,c_83143,c_83585,c_83585,c_83609,c_83645,c_83645,c_83600,c_83561,c_83561,c_218]) ).
tff(c_83736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_198,c_204,c_83735]) ).
tff(c_83737,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_83517]) ).
tff(c_83739,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_83737]) ).
tff(c_83743,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83739,c_152]) ).
tff(c_83817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83743,c_83053,c_53011,c_2]) ).
tff(c_83818,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_83737]) ).
tff(c_83061,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83058,c_154]) ).
tff(c_83819,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_83737]) ).
tff(c_83830,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83061,c_83819,c_26]) ).
tff(c_83831,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_83830]) ).
tff(c_83856,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83831,c_83058,c_42]) ).
tff(c_83857,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_83856]) ).
tff(c_83858,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_83857]) ).
tff(c_83861,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83858,c_148]) ).
tff(c_83889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83861,c_83053,c_53011,c_2]) ).
tff(c_83890,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_83857]) ).
tff(c_83911,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_83890,c_48]) ).
tff(c_83912,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_83911]) ).
tff(c_83921,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83818,c_83501,c_83912,c_50]) ).
tff(c_83922,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_83921]) ).
tff(c_83958,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_83818,c_83831,c_84]) ).
tff(c_83959,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_83958]) ).
tff(c_83148,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_144]) ).
tff(c_83845,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_78]) ).
tff(c_83846,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_83148,c_83062,c_202,c_83845]) ).
tff(c_83933,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_83131,c_53007,c_90]) ).
tff(c_83934,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_83933]) ).
tff(c_84060,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83922,c_83831,c_83831,c_83890,c_83922,c_83922,c_83890,c_83959,c_83959,c_83846,c_83934,c_83934,c_650]) ).
tff(c_84061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_204,c_204,c_84060]) ).
tff(c_84062,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_83830]) ).
tff(c_84099,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83143,c_83818,c_84062,c_88]) ).
tff(c_84100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_83051,c_198,c_194,c_84099]) ).
tff(c_84101,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_83142]) ).
tff(c_84532,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_83137,c_84101]) ).
tff(c_84536,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84532,c_140]) ).
tff(c_84103,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_83060,c_18]) ).
tff(c_84104,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_84103]) ).
tff(c_84109,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84104,c_122]) ).
tff(c_84138,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_84109,c_83128]) ).
tff(c_84139,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_84138]) ).
tff(c_84151,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84139,c_84104,c_72]) ).
tff(c_84152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83136,c_83049,c_194,c_198,c_84151]) ).
tff(c_84153,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_84138]) ).
tff(c_84162,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84153,c_168]) ).
tff(c_84115,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_83137,c_84101]) ).
tff(c_84127,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84104,c_83058,c_34]) ).
tff(c_84128,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_53011,c_84127]) ).
tff(c_84182,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84115,c_84128,c_88]) ).
tff(c_84183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_83051,c_84162,c_194,c_84182]) ).
tff(c_84184,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_84103]) ).
tff(c_84186,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_84184]) ).
tff(c_84191,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84186,c_124]) ).
tff(c_84268,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83049,c_84191,c_22]) ).
tff(c_84269,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_84268]) ).
tff(c_84274,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84269,c_180]) ).
tff(c_84213,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83052,c_53010,c_4]) ).
tff(c_84214,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_84213]) ).
tff(c_84219,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84214,c_164]) ).
tff(c_84237,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_83137,c_84101]) ).
tff(c_84193,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84186,c_156]) ).
tff(c_84198,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_83061,c_26]) ).
tff(c_84199,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_84198]) ).
tff(c_84204,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84199,c_140]) ).
tff(c_84210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83137,c_84204,c_84101]) ).
tff(c_84211,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_84198]) ).
tff(c_84225,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_84193,c_84211]) ).
tff(c_84292,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84237,c_84225,c_96]) ).
tff(c_84293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_84274,c_84219,c_202,c_84292]) ).
tff(c_84294,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_84268]) ).
tff(c_84299,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84294,c_174]) ).
tff(c_84316,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83131,c_83058,c_60]) ).
tff(c_84317,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_84299,c_204,c_84316]) ).
tff(c_84365,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84225,c_84186,c_83058,c_42]) ).
tff(c_84366,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_84365]) ).
tff(c_84326,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83131,c_84317,c_83058,c_52]) ).
tff(c_84327,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_84326]) ).
tff(c_84454,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84317,c_84225,c_84225,c_84294,c_84317,c_84317,c_84366,c_84327,c_84327,c_84317,c_83131,c_83131,c_632]) ).
tff(c_84455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_198,c_198,c_84454]) ).
tff(c_84456,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_84213]) ).
tff(c_84516,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_84456,c_48]) ).
tff(c_84517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_83059,c_84516]) ).
tff(c_84518,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_84184]) ).
tff(c_84568,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84518,c_83058,c_34]) ).
tff(c_84569,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_53011,c_84568]) ).
tff(c_84594,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84569,c_84518,c_83058,c_42]) ).
tff(c_84595,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_84594]) ).
tff(c_84544,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83052,c_53010,c_4]) ).
tff(c_84545,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_84544]) ).
tff(c_84777,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84518,c_84595,c_84595,c_84545,c_84518,c_84595,c_752]) ).
tff(c_84778,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_84544]) ).
tff(c_84785,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84778,c_98]) ).
tff(c_84805,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84518,c_83058,c_42]) ).
tff(c_84806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84536,c_198,c_204,c_84785,c_84805]) ).
tff(c_84807,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_83130]) ).
tff(c_84812,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84807,c_120]) ).
tff(c_83064,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83058,c_110]) ).
tff(c_84811,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84807,c_118]) ).
tff(c_86128,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83053,c_53011,c_2]) ).
tff(c_86133,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86128,c_152]) ).
tff(c_86056,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83051,c_88]) ).
tff(c_86057,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_86056]) ).
tff(c_86060,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86057,c_140]) ).
tff(c_84822,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_83128]) ).
tff(c_85419,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84822,c_80]) ).
tff(c_85420,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_83060,c_85419]) ).
tff(c_85421,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_85420]) ).
tff(c_85424,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85421,c_132]) ).
tff(c_84825,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84822,c_122]) ).
tff(c_85434,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_83060,c_84825,c_18]) ).
tff(c_85435,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_85434]) ).
tff(c_85439,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85435,c_124]) ).
tff(c_84828,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84822,c_126]) ).
tff(c_85481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85424,c_85439,c_83049,c_84828,c_22]) ).
tff(c_85482,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_85434]) ).
tff(c_85540,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83053,c_53011,c_2]) ).
tff(c_85484,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_85485,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_83059,c_85484]) ).
tff(c_85631,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_85482,c_85540,c_85540,c_85485,c_85482,c_85540,c_752]) ).
tff(c_85632,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_85420]) ).
tff(c_85716,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85632,c_180]) ).
tff(c_84836,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83052,c_53010,c_4]) ).
tff(c_84837,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_84836]) ).
tff(c_84851,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84837,c_164]) ).
tff(c_84814,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84807,c_190]) ).
tff(c_84834,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_84814,c_92]) ).
tff(c_84835,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_84834]) ).
tff(c_84840,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84835,c_138]) ).
tff(c_84827,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84822,c_162]) ).
tff(c_84857,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_83064,c_84811,c_84827,c_12]) ).
tff(c_84861,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84857,c_166]) ).
tff(c_84829,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84822,c_168]) ).
tff(c_84992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84851,c_84840,c_84861,c_84829,c_28]) ).
tff(c_84993,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_84836]) ).
tff(c_85253,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_84993,c_48]) ).
tff(c_85254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_83059,c_85253]) ).
tff(c_85256,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_84834]) ).
tff(c_85255,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_84834]) ).
tff(c_85257,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_85255]) ).
tff(c_85294,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85257,c_83058,c_34]) ).
tff(c_85295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_84825,c_200,c_53011,c_85294]) ).
tff(c_85297,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_85255]) ).
tff(c_85298,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83061,c_85297,c_26]) ).
tff(c_85299,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_85298]) ).
tff(c_85306,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85299,c_156]) ).
tff(c_85321,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83060,c_85306,c_84825,c_18]) ).
tff(c_85325,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85321,c_148]) ).
tff(c_85396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83059,c_85325,c_83053,c_53011,c_2]) ).
tff(c_85397,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_85298]) ).
tff(c_85411,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85397,c_136]) ).
tff(c_85776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85716,c_85256,c_83051,c_85411,c_30]) ).
tff(c_85777,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_83128]) ).
tff(c_85779,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_85777]) ).
tff(c_85787,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85779,c_168]) ).
tff(c_86061,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86057,c_142]) ).
tff(c_86068,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_85787,c_86061,c_28]) ).
tff(c_86069,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_86068]) ).
tff(c_86075,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86069,c_164]) ).
tff(c_85784,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85779,c_160]) ).
tff(c_86091,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86075,c_85784,c_83052,c_53010,c_4]) ).
tff(c_86092,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_86068]) ).
tff(c_86109,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86092,c_134]) ).
tff(c_86172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83061,c_86133,c_86060,c_86109,c_26]) ).
tff(c_86173,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_86056]) ).
tff(c_86175,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_86173]) ).
tff(c_86177,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86175,c_134]) ).
tff(c_86208,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84807,c_83058,c_52]) ).
tff(c_86209,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_86208]) ).
tff(c_86210,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_86209]) ).
tff(c_86214,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86210,c_114]) ).
tff(c_86219,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83064,c_84811,c_12]) ).
tff(c_86220,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_86219]) ).
tff(c_86230,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83059,c_83053,c_53011,c_2]) ).
tff(c_86242,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_86230,c_48]) ).
tff(c_86243,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_86242]) ).
tff(c_86289,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85779,c_86220,c_86243,c_50]) ).
tff(c_86290,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_86289]) ).
tff(c_86247,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86243,c_164]) ).
tff(c_86186,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86175,c_92]) ).
tff(c_86187,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_84814,c_85787,c_198,c_86186]) ).
tff(c_86254,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86187,c_86175,c_96]) ).
tff(c_86255,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_86247,c_202,c_86254]) ).
tff(c_85792,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85779,c_80]) ).
tff(c_85793,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_83060,c_85792]) ).
tff(c_85794,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_85793]) ).
tff(c_85799,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85794,c_192]) ).
tff(c_85797,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85794,c_132]) ).
tff(c_85804,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83051,c_88]) ).
tff(c_85805,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_85804]) ).
tff(c_85844,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85805,c_92]) ).
tff(c_85845,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_85787,c_85844]) ).
tff(c_85846,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_85845]) ).
tff(c_85865,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85846,c_83046,c_78]) ).
tff(c_85866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_85797,c_83062,c_202,c_85865]) ).
tff(c_85867,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_85845]) ).
tff(c_85809,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85805,c_140]) ).
tff(c_85827,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_83061,c_85809,c_26]) ).
tff(c_85828,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_85827]) ).
tff(c_85832,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85828,c_136]) ).
tff(c_85786,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85779,c_126]) ).
tff(c_85840,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83046,c_74]) ).
tff(c_85841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85832,c_85786,c_84812,c_198,c_85840]) ).
tff(c_85842,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_85827]) ).
tff(c_85890,plain,
e3 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_85867,c_85842]) ).
tff(c_85892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_85890]) ).
tff(c_85894,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_85804]) ).
tff(c_86043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85799,c_84814,c_85894,c_53014,c_32]) ).
tff(c_86044,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_85793]) ).
tff(c_86378,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86220,c_86175,c_86175,c_86230,c_86290,c_86290,c_86255,c_86044,c_86044,c_86230,c_53007,c_53007,c_702]) ).
tff(c_86379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_196,c_86378]) ).
tff(c_86380,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_86219]) ).
tff(c_86382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86214,c_86380]) ).
tff(c_86383,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_86209]) ).
tff(c_86420,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85779,c_86383,c_54]) ).
tff(c_86421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86177,c_198,c_194,c_83052,c_86420]) ).
tff(c_86422,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_86173]) ).
tff(c_86428,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86422,c_166]) ).
tff(c_86457,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84807,c_83058,c_52]) ).
tff(c_86458,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_86457]) ).
tff(c_86459,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_86458]) ).
tff(c_86465,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86459,c_114]) ).
tff(c_86528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83064,c_84811,c_86428,c_86465,c_12]) ).
tff(c_86529,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_86458]) ).
tff(c_86534,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86529,c_114]) ).
tff(c_86605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83062,c_84812,c_83050,c_86534,c_14]) ).
tff(c_86606,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_85777]) ).
tff(c_86823,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86606,c_80]) ).
tff(c_86824,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_83060,c_86823]) ).
tff(c_86825,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_86824]) ).
tff(c_86831,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86825,c_192]) ).
tff(c_86611,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86606,c_122]) ).
tff(c_86621,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_83061,c_26]) ).
tff(c_86622,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_86621]) ).
tff(c_86624,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86622,c_134]) ).
tff(c_86691,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86606,c_58]) ).
tff(c_86692,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_86624,c_198,c_84811,c_86691]) ).
tff(c_86704,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_86692,c_48]) ).
tff(c_86705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_83059,c_86704]) ).
tff(c_86706,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_86621]) ).
tff(c_86708,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_86706]) ).
tff(c_86715,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86708,c_156]) ).
tff(c_86754,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_83060,c_86611,c_86715,c_18]) ).
tff(c_86758,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86754,c_148]) ).
tff(c_86808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83059,c_86758,c_83053,c_53011,c_2]) ).
tff(c_86809,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_86706]) ).
tff(c_86815,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86809,c_140]) ).
tff(c_86863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86831,c_84814,c_86815,c_53014,c_32]) ).
tff(c_86865,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_86824]) ).
tff(c_84813,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84807,c_186]) ).
tff(c_86610,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86606,c_130]) ).
tff(c_86907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86865,c_84813,c_86610,c_53013,c_24]) ).
tff(c_86908,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_86935,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_86915,c_86908]) ).
tff(c_86936,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_86935]) ).
tff(c_87577,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_154]) ).
tff(c_87650,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_86927,c_87586,c_87577,c_26]) ).
tff(c_86930,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_192]) ).
tff(c_87589,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87572,c_180]) ).
tff(c_86937,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83049,c_22]) ).
tff(c_86938,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_86937]) ).
tff(c_86952,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86938,c_124]) ).
tff(c_87426,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_87427,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_87426]) ).
tff(c_87431,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87427,c_128]) ).
tff(c_86917,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_186]) ).
tff(c_86953,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86938,c_126]) ).
tff(c_86960,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_86953,c_20]) ).
tff(c_86961,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_86960]) ).
tff(c_86963,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86961,c_130]) ).
tff(c_87010,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_87011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_86963,c_198,c_196,c_87010]) ).
tff(c_87012,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_86960]) ).
tff(c_87014,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_87012]) ).
tff(c_87021,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87014,c_168]) ).
tff(c_86943,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_154]) ).
tff(c_87243,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_84]) ).
tff(c_87244,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_87021,c_86943,c_87243]) ).
tff(c_87037,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_92]) ).
tff(c_87038,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_87037]) ).
tff(c_87039,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_87038]) ).
tff(c_87062,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_87039,c_88]) ).
tff(c_87063,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_87062]) ).
tff(c_87064,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_87063]) ).
tff(c_87076,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_87039,c_87064,c_84]) ).
tff(c_87077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_86943,c_87076]) ).
tff(c_87078,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_87063]) ).
tff(c_87089,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_87039,c_87078,c_84]) ).
tff(c_87090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_87021,c_194,c_87089]) ).
tff(c_87091,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_87038]) ).
tff(c_87093,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_87091]) ).
tff(c_86914,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_118]) ).
tff(c_86945,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_110]) ).
tff(c_87026,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_86914,c_86945,c_12]) ).
tff(c_87027,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_87026]) ).
tff(c_87030,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87027,c_158]) ).
tff(c_87114,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_87115,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_87030,c_87114]) ).
tff(c_87240,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_87093,c_87115,c_87115,c_83046,c_87093,c_87115,c_738]) ).
tff(c_87241,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_87091]) ).
tff(c_87263,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_87244,c_87241,c_88]) ).
tff(c_87264,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_87263]) ).
tff(c_87269,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87264,c_156]) ).
tff(c_87298,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86938,c_87014,c_72]) ).
tff(c_87299,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86917,c_202,c_194,c_87269,c_87298]) ).
tff(c_87300,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_87026]) ).
tff(c_87306,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87300,c_114]) ).
tff(c_87312,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_84]) ).
tff(c_87313,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_87021,c_86943,c_87312]) ).
tff(c_87422,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87313,c_86938,c_83046,c_74]) ).
tff(c_87423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_87306,c_198,c_87422]) ).
tff(c_87424,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_87012]) ).
tff(c_87439,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87424,c_122]) ).
tff(c_86942,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_150]) ).
tff(c_87567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86952,c_87431,c_87439,c_86942,c_18]) ).
tff(c_87568,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_86937]) ).
tff(c_87606,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_87589,c_87568]) ).
tff(c_87624,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87606,c_72]) ).
tff(c_87625,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_86917,c_194,c_87624]) ).
tff(c_87626,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_87625]) ).
tff(c_87637,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87606,c_87626,c_80]) ).
tff(c_87638,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_86930,c_200,c_202,c_87637]) ).
tff(c_87671,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87650,c_87638,c_86936,c_42]) ).
tff(c_87672,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_87671]) ).
tff(c_86928,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_142]) ).
tff(c_87587,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87572,c_138]) ).
tff(c_87632,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87626,c_168]) ).
tff(c_87660,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_86928,c_87587,c_87632,c_28]) ).
tff(c_87736,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87660,c_87626,c_87595,c_58]) ).
tff(c_87737,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_87736]) ).
tff(c_392,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_87796,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87672,c_86936,c_86936,c_87606,c_87737,c_87737,c_87606,c_87572,c_87572,c_87737,c_86911,c_86911,c_392]) ).
tff(c_87797,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_200,c_198,c_87796]) ).
tff(c_87799,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_87625]) ).
tff(c_87612,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87606,c_126]) ).
tff(c_87850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87599,c_87814,c_87799,c_87612,c_20]) ).
tff(c_87851,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_87594]) ).
tff(c_87878,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_87851,c_48]) ).
tff(c_87879,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_87878]) ).
tff(c_87883,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87879,c_148]) ).
tff(c_87901,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_87902,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_87901]) ).
tff(c_87906,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87902,c_128]) ).
tff(c_87889,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_86927,c_87586,c_87577,c_26]) ).
tff(c_87894,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87889,c_156]) ).
tff(c_87576,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_150]) ).
tff(c_87938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87883,c_87906,c_87894,c_87576,c_18]) ).
tff(c_87939,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_87571]) ).
tff(c_87965,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_87939]) ).
tff(c_87981,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87965,c_152]) ).
tff(c_88010,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87960,c_87981,c_83053,c_53011,c_2]) ).
tff(c_88011,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_87939]) ).
tff(c_88016,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88011,c_166]) ).
tff(c_87947,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_110]) ).
tff(c_88082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87957,c_88016,c_86914,c_87947,c_12]) ).
tff(c_88084,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_87953]) ).
tff(c_88083,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_87953]) ).
tff(c_88087,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88083,c_148]) ).
tff(c_87945,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_154]) ).
tff(c_88094,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_86927,c_87945,c_26]) ).
tff(c_88095,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_88094]) ).
tff(c_88100,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88095,c_156]) ).
tff(c_88121,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_86914,c_87947,c_12]) ).
tff(c_88122,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_88121]) ).
tff(c_88107,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_87568]) ).
tff(c_88112,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88107,c_126]) ).
tff(c_88119,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88112,c_20]) ).
tff(c_88120,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_88119]) ).
tff(c_88127,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88120,c_162]) ).
tff(c_88143,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88122,c_88127]) ).
tff(c_88144,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_88121]) ).
tff(c_88159,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88144,c_158]) ).
tff(c_88182,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_88083,c_44]) ).
tff(c_88183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_88159,c_204,c_88182]) ).
tff(c_88184,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_88119]) ).
tff(c_88186,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_88184]) ).
tff(c_88190,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88186,c_122]) ).
tff(c_87944,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86936,c_150]) ).
tff(c_88215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88087,c_88100,c_88190,c_87944,c_18]) ).
tff(c_88216,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_88184]) ).
tff(c_88221,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88216,c_130]) ).
tff(c_88279,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_88280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_88221,c_198,c_196,c_88279]) ).
tff(c_88281,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_87568]) ).
tff(c_88285,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88281,c_132]) ).
tff(c_88354,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_88355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_88285,c_198,c_196,c_88354]) ).
tff(c_88356,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_88094]) ).
tff(c_88382,plain,
( ( op(e0,e2) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88356,c_87939]) ).
tff(c_88383,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_88382]) ).
tff(c_88389,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88383,c_164]) ).
tff(c_88405,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88084,c_88389,c_83052,c_53010,c_4]) ).
tff(c_88406,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_86935]) ).
tff(c_88410,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_146]) ).
tff(c_88420,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_88421,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_88420]) ).
tff(c_88422,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_88421]) ).
tff(c_88510,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_88422,c_44]) ).
tff(c_88511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_88410,c_88510]) ).
tff(c_88513,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_88421]) ).
tff(c_89159,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_88513,c_83052,c_53010,c_4]) ).
tff(c_88412,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_154]) ).
tff(c_88414,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_110]) ).
tff(c_88537,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88414,c_86914,c_12]) ).
tff(c_88538,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_88537]) ).
tff(c_88542,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88538,c_162]) ).
tff(c_88622,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_86911,c_53007,c_90]) ).
tff(c_88623,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_88622]) ).
tff(c_88514,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86924,c_92]) ).
tff(c_88515,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_88412,c_88514]) ).
tff(c_88516,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_88515]) ).
tff(c_88522,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88516,c_180]) ).
tff(c_88637,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88522,c_83049,c_22]) ).
tff(c_88638,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_88637]) ).
tff(c_88512,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_88421]) ).
tff(c_88628,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88623,c_130]) ).
tff(c_88530,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88512,c_148]) ).
tff(c_88411,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_150]) ).
tff(c_88560,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_86917,c_83049,c_72]) ).
tff(c_88561,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_88560]) ).
tff(c_88564,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88561,c_122]) ).
tff(c_88549,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88406,c_88512,c_34]) ).
tff(c_88550,plain,
( ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_88549]) ).
tff(c_88551,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_88550]) ).
tff(c_88555,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88551,c_156]) ).
tff(c_88609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88530,c_88411,c_88564,c_88555,c_18]) ).
tff(c_88610,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_88560]) ).
tff(c_88617,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88610,c_122]) ).
tff(c_88672,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_88542,c_88628,c_88617,c_20]) ).
tff(c_416,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_88792,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88638,c_88406,c_88406,c_88512,c_88672,c_88672,c_86924,c_88638,c_88638,c_88538,c_86911,c_86911,c_416]) ).
tff(c_88793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_202,c_88792]) ).
tff(c_88794,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_88637]) ).
tff(c_88825,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88623,c_88794,c_88610,c_80]) ).
tff(c_88826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_88542,c_202,c_88825]) ).
tff(c_88828,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_88550]) ).
tff(c_88867,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_86927,c_88412,c_88828,c_26]) ).
tff(c_88897,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_88512,c_44]) ).
tff(c_88898,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_88897]) ).
tff(c_88974,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88867,c_88512,c_88512,c_88898,c_88867,c_88512,c_750]) ).
tff(c_88975,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_88537]) ).
tff(c_89225,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_88975,c_88406,c_64]) ).
tff(c_89226,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_89225]) ).
tff(c_89293,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89159,c_88975,c_88975,c_89226,c_89159,c_88975,c_736]) ).
tff(c_89294,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_88515]) ).
tff(c_89311,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89294,c_164]) ).
tff(c_89327,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88513,c_89311,c_83052,c_53010,c_4]) ).
tff(c_89328,plain,
( ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_86923]) ).
tff(c_91121,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_86918,c_89328]) ).
tff(c_91126,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91121,c_142]) ).
tff(c_91125,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91121,c_140]) ).
tff(c_91133,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91125,c_26]) ).
tff(c_91134,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91133]) ).
tff(c_91140,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91134,c_156]) ).
tff(c_91114,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91110,c_160]) ).
tff(c_90208,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_86918,c_89328]) ).
tff(c_90212,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90208,c_140]) ).
tff(c_90196,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_86914,c_12]) ).
tff(c_90197,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_90196]) ).
tff(c_90199,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90197,c_158]) ).
tff(c_90328,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_90329,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_90199,c_90328]) ).
tff(c_90333,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90329,c_152]) ).
tff(c_90316,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_86915,c_86908]) ).
tff(c_90317,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_90316]) ).
tff(c_90322,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90317,c_154]) ).
tff(c_90341,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_90333,c_90212,c_90322,c_26]) ).
tff(c_90392,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_90199,c_83052,c_53010,c_4]) ).
tff(c_90477,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90341,c_90329,c_90329,c_90392,c_90341,c_90329,c_750]) ).
tff(c_90478,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_90316]) ).
tff(c_90482,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90478,c_146]) ).
tff(c_90491,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83053,c_53011,c_2]) ).
tff(c_90492,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_90491]) ).
tff(c_90495,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90492,c_148]) ).
tff(c_90483,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90478,c_150]) ).
tff(c_89330,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83049,c_22]) ).
tff(c_89331,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_89330]) ).
tff(c_89333,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89331,c_132]) ).
tff(c_89342,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_86918,c_89328]) ).
tff(c_89349,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89342,c_192]) ).
tff(c_90193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89333,c_89349,c_86917,c_53013,c_24]) ).
tff(c_90194,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_89330]) ).
tff(c_90290,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_90194]) ).
tff(c_90295,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90290,c_126]) ).
tff(c_90200,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90197,c_162]) ).
tff(c_90220,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_90200,c_20]) ).
tff(c_90221,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_90220]) ).
tff(c_90225,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90221,c_160]) ).
tff(c_90287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90199,c_90225,c_83052,c_53010,c_4]) ).
tff(c_90288,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_90220]) ).
tff(c_90304,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_90295,c_90288]) ).
tff(c_90309,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90304,c_122]) ).
tff(c_90294,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90290,c_124]) ).
tff(c_90503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90495,c_90483,c_90309,c_90294,c_18]) ).
tff(c_90504,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_90491]) ).
tff(c_90517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90482,c_90504]) ).
tff(c_90518,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_90194]) ).
tff(c_90523,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90518,c_124]) ).
tff(c_90534,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_90288]) ).
tff(c_90538,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90534,c_122]) ).
tff(c_90559,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90523,c_90538,c_18]) ).
tff(c_90560,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_90559]) ).
tff(c_90563,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90560,c_148]) ).
tff(c_90584,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_90563,c_83053,c_53011,c_2]) ).
tff(c_90588,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90584,c_98]) ).
tff(c_90593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90199,c_90588,c_83052,c_53010,c_4]) ).
tff(c_90594,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_90559]) ).
tff(c_90545,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_86915,c_86908]) ).
tff(c_90546,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_90545]) ).
tff(c_90619,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83053,c_53011,c_2]) ).
tff(c_90620,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_90619]) ).
tff(c_90661,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90594,c_90546,c_90620,c_42]) ).
tff(c_90662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90212,c_198,c_196,c_204,c_90661]) ).
tff(c_90663,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_90619]) ).
tff(c_90668,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90663,c_98]) ).
tff(c_90692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90199,c_90668,c_83052,c_53010,c_4]) ).
tff(c_90693,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_90545]) ).
tff(c_90202,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90197,c_114]) ).
tff(c_90778,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90518,c_83046,c_78]) ).
tff(c_90779,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_90202,c_202,c_90778]) ).
tff(c_90717,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_90718,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_90199,c_90717]) ).
tff(c_390,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_90881,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90518,c_90693,c_90693,c_90208,c_90197,c_90197,c_90208,c_90779,c_90779,c_90718,c_53007,c_53007,c_390]) ).
tff(c_90882,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_204,c_200,c_90881]) ).
tff(c_90883,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_90288]) ).
tff(c_90888,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90883,c_122]) ).
tff(c_90896,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90523,c_90888,c_18]) ).
tff(c_90897,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_90896]) ).
tff(c_90900,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90897,c_148]) ).
tff(c_90921,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_48]) ).
tff(c_90922,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_90199,c_90900,c_90921]) ).
tff(c_90923,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_90896]) ).
tff(c_90931,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90923,c_156]) ).
tff(c_90947,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_90212,c_90931,c_26]) ).
tff(c_90948,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_90947]) ).
tff(c_90930,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90923,c_150]) ).
tff(c_90936,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_90930,c_86915,c_86908]) ).
tff(c_90940,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90936,c_146]) ).
tff(c_90949,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_90940,c_83053,c_53011,c_2]) ).
tff(c_90953,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90949,c_152]) ).
tff(c_90968,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90948,c_90953]) ).
tff(c_90969,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_90947]) ).
tff(c_90981,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_90940,c_83053,c_53011,c_2]) ).
tff(c_91036,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_90199,c_83052,c_53010,c_4]) ).
tff(c_91105,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_90969,c_90981,c_90981,c_91036,c_90969,c_90981,c_750]) ).
tff(c_91106,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_90196]) ).
tff(c_91159,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91106]) ).
tff(c_91165,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91159,c_110]) ).
tff(c_91170,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_91165,c_86915,c_86908]) ).
tff(c_91175,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91170,c_150]) ).
tff(c_91145,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_90194]) ).
tff(c_91183,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91145,c_72]) ).
tff(c_91184,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_86917,c_194,c_91183]) ).
tff(c_91185,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_91184]) ).
tff(c_91189,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91185,c_122]) ).
tff(c_91149,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91145,c_124]) ).
tff(c_91195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91140,c_91175,c_91189,c_91149,c_18]) ).
tff(c_91196,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_91184]) ).
tff(c_91255,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91134,c_91196,c_91170,c_34]) ).
tff(c_91256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_53011,c_91255]) ).
tff(c_91257,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91106]) ).
tff(c_91261,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91257,c_162]) ).
tff(c_91116,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91110,c_98]) ).
tff(c_91270,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91145,c_72]) ).
tff(c_91271,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_86917,c_194,c_91270]) ).
tff(c_91272,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_91271]) ).
tff(c_91277,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91272,c_122]) ).
tff(c_91294,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_91140,c_91277,c_91149,c_18]) ).
tff(c_91298,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91294,c_148]) ).
tff(c_91329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91116,c_91298,c_83053,c_53011,c_2]) ).
tff(c_91331,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_91271]) ).
tff(c_91150,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91145,c_126]) ).
tff(c_91358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91114,c_91261,c_91331,c_91150,c_20]) ).
tff(c_91359,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_90194]) ).
tff(c_91364,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91359,c_124]) ).
tff(c_91373,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_91114,c_20]) ).
tff(c_91374,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_91373]) ).
tff(c_91365,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91359,c_126]) ).
tff(c_91385,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91374,c_91365]) ).
tff(c_91386,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_91373]) ).
tff(c_91478,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_91386]) ).
tff(c_91482,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91478,c_122]) ).
tff(c_91499,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_91140,c_91364,c_91482,c_18]) ).
tff(c_91523,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_91110,c_44]) ).
tff(c_91524,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_91523]) ).
tff(c_91632,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_91499,c_91524,c_91524,c_91110,c_91499,c_91524,c_752]) ).
tff(c_91633,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_91386]) ).
tff(c_91639,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91633,c_168]) ).
tff(c_91668,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91121,c_91134,c_88]) ).
tff(c_91669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_83051,c_91639,c_202,c_91668]) ).
tff(c_91670,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_91133]) ).
tff(c_92042,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_91670]) ).
tff(c_92048,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92042,c_154]) ).
tff(c_91968,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91106]) ).
tff(c_91974,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91968,c_110]) ).
tff(c_92004,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_91974,c_86915,c_86908]) ).
tff(c_92008,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92004,c_146]) ).
tff(c_92015,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_91110,c_44]) ).
tff(c_92016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_92008,c_92015]) ).
tff(c_92017,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91106]) ).
tff(c_92026,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92017,c_110]) ).
tff(c_92056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92048,c_86915,c_92026,c_86908]) ).
tff(c_92057,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_91670]) ).
tff(c_92061,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92057,c_134]) ).
tff(c_91939,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_91114,c_20]) ).
tff(c_91940,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_91939]) ).
tff(c_91945,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91940,c_126]) ).
tff(c_91127,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91121,c_144]) ).
tff(c_91672,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_90194]) ).
tff(c_91740,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91672,c_126]) ).
tff(c_91673,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_91114,c_20]) ).
tff(c_91674,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_91673]) ).
tff(c_91689,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91674,c_162]) ).
tff(c_91696,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_91689,c_91106]) ).
tff(c_91702,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91696,c_110]) ).
tff(c_91721,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_91702,c_86915,c_86908]) ).
tff(c_91725,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91721,c_146]) ).
tff(c_91732,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_91110,c_44]) ).
tff(c_91733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_91725,c_91732]) ).
tff(c_91734,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_91673]) ).
tff(c_91774,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_91740,c_91734]) ).
tff(c_91780,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91774,c_168]) ).
tff(c_91749,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91106]) ).
tff(c_91753,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91749,c_166]) ).
tff(c_91808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91115,c_91126,c_91780,c_91753,c_28]) ).
tff(c_91809,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91106]) ).
tff(c_91816,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91809,c_110]) ).
tff(c_91862,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_86915,c_91816,c_86908]) ).
tff(c_91907,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_91809,c_91862,c_64]) ).
tff(c_91908,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_91907]) ).
tff(c_91935,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91672,c_91908,c_83046,c_74]) ).
tff(c_91936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91127,c_196,c_204,c_198,c_91935]) ).
tff(c_91937,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_90194]) ).
tff(c_91951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91945,c_91937]) ).
tff(c_91952,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_91939]) ).
tff(c_92032,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_91952]) ).
tff(c_92037,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92032,c_168]) ).
tff(c_92131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91115,c_91126,c_92061,c_92037,c_28]) ).
tff(c_92132,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_91952]) ).
tff(c_92138,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92132,c_168]) ).
tff(c_92184,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_86915,c_92026,c_86908]) ).
tff(c_92189,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92184,c_112]) ).
tff(c_92210,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91937,c_83046,c_66]) ).
tff(c_92211,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_92189,c_194,c_92210]) ).
tff(c_92214,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92211,c_138]) ).
tff(c_92226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91115,c_91126,c_92138,c_92214,c_28]) ).
tff(c_92228,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_91109]) ).
tff(c_92760,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_92228,c_83052,c_53010,c_4]) ).
tff(c_92692,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91106]) ).
tff(c_92770,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_90194]) ).
tff(c_92777,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92770,c_180]) ).
tff(c_92697,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92692,c_166]) ).
tff(c_92227,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_91109]) ).
tff(c_92233,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92227,c_152]) ).
tff(c_92239,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_92233,c_26]) ).
tff(c_92240,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_92239]) ).
tff(c_92244,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92240,c_140]) ).
tff(c_92265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86918,c_92244,c_89328]) ).
tff(c_92266,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_92239]) ).
tff(c_92268,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_92266]) ).
tff(c_92280,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92268,c_92]) ).
tff(c_92281,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_92280]) ).
tff(c_92282,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92281]) ).
tff(c_92286,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92282,c_142]) ).
tff(c_92497,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91106]) ).
tff(c_92501,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92497,c_162]) ).
tff(c_92295,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_92301,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92295,c_168]) ).
tff(c_92461,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92282,c_92268,c_96]) ).
tff(c_92462,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_92301,c_200,c_92461]) ).
tff(c_92467,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92462,c_178]) ).
tff(c_92274,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92268,c_154]) ).
tff(c_92287,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92282,c_144]) ).
tff(c_92306,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_90194]) ).
tff(c_92317,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_91106]) ).
tff(c_92328,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_92274,c_86915,c_86908]) ).
tff(c_92348,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86911,c_92317,c_92328,c_64]) ).
tff(c_92349,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_92348]) ).
tff(c_92381,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92306,c_92349,c_83046,c_74]) ).
tff(c_92382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92287,c_196,c_204,c_198,c_92381]) ).
tff(c_92383,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91106]) ).
tff(c_92390,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92383,c_110]) ).
tff(c_92396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92274,c_86915,c_92390,c_86908]) ).
tff(c_92397,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_90194]) ).
tff(c_92413,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92397,c_174]) ).
tff(c_92399,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_92228,c_83052,c_53010,c_4]) ).
tff(c_92403,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92399,c_158]) ).
tff(c_92420,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_92403,c_91106]) ).
tff(c_92425,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92420,c_114]) ).
tff(c_92494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92467,c_92413,c_83050,c_92425,c_14]) ).
tff(c_92495,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_92533,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_92501,c_92495]) ).
tff(c_92534,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_92533]) ).
tff(c_92540,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92534,c_168]) ).
tff(c_92271,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92268,c_134]) ).
tff(c_92565,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_92286,c_92540,c_92271,c_28]) ).
tff(c_92589,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92282,c_92565,c_92268,c_88]) ).
tff(c_92590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_83051,c_202,c_194,c_92589]) ).
tff(c_92591,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_92533]) ).
tff(c_92600,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92591,c_160]) ).
tff(c_92634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92228,c_92600,c_83052,c_53010,c_4]) ).
tff(c_92635,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91106]) ).
tff(c_92639,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92635,c_158]) ).
tff(c_92661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92228,c_92639,c_83052,c_53010,c_4]) ).
tff(c_92663,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92281]) ).
tff(c_92664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86918,c_92663,c_89328]) ).
tff(c_92665,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_92266]) ).
tff(c_92679,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92665,c_92]) ).
tff(c_92680,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_92679]) ).
tff(c_92681,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92680]) ).
tff(c_92807,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92681,c_92665,c_84]) ).
tff(c_92808,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_92777,c_92697,c_194,c_92807]) ).
tff(c_92809,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_90194]) ).
tff(c_92816,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92809,c_174]) ).
tff(c_92698,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92692,c_114]) ).
tff(c_92899,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_92816,c_83050,c_92698,c_14]) ).
tff(c_92960,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_92760,c_92692,c_92692,c_92899,c_92760,c_92692,c_736]) ).
tff(c_92961,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_91106]) ).
tff(c_92965,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92961,c_158]) ).
tff(c_93009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92228,c_92965,c_83052,c_53010,c_4]) ).
tff(c_93011,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92680]) ).
tff(c_93067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86918,c_93011,c_89328]) ).
tff(c_93068,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_86910]) ).
tff(c_93076,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93068,c_190]) ).
tff(c_94168,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94165,c_158]) ).
tff(c_93072,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93068,c_118]) ).
tff(c_94176,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_94168,c_93072,c_12]) ).
tff(c_94177,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_94176]) ).
tff(c_94180,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94177,c_162]) ).
tff(c_93082,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_93083,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93082,c_130]) ).
tff(c_93075,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93068,c_186]) ).
tff(c_93085,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93082,c_160]) ).
tff(c_93086,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93082,c_162]) ).
tff(c_93073,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93068,c_116]) ).
tff(c_93105,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_93073,c_86908]) ).
tff(c_93106,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_93105]) ).
tff(c_93113,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93106,c_110]) ).
tff(c_93334,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_93086,c_93072,c_93113,c_12]) ).
tff(c_93338,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93334,c_166]) ).
tff(c_93093,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93076,c_53014,c_32]) ).
tff(c_93094,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_93093]) ).
tff(c_93294,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_93085,c_83052,c_53010,c_4]) ).
tff(c_93299,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93294,c_164]) ).
tff(c_93097,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93094,c_140]) ).
tff(c_93129,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93094,c_92]) ).
tff(c_93130,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_93129]) ).
tff(c_93131,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_93130]) ).
tff(c_93134,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93131,c_136]) ).
tff(c_93111,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93106,c_154]) ).
tff(c_93183,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_93097,c_93134,c_93111,c_26]) ).
tff(c_93118,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83053,c_53011,c_2]) ).
tff(c_93119,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_93118]) ).
tff(c_93158,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_93085,c_83052,c_53010,c_4]) ).
tff(c_93291,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_93183,c_93119,c_93119,c_93158,c_93183,c_93119,c_750]) ).
tff(c_93292,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_93130]) ).
tff(c_93304,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_93299,c_93292]) ).
tff(c_93352,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93094,c_93304,c_88]) ).
tff(c_93353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_83051,c_93338,c_198,c_93352]) ).
tff(c_93354,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_93118]) ).
tff(c_93373,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93354,c_98]) ).
tff(c_93406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93085,c_93373,c_83052,c_53010,c_4]) ).
tff(c_93407,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_93105]) ).
tff(c_93413,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93407,c_154]) ).
tff(c_93483,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_93085,c_83052,c_53010,c_4]) ).
tff(c_93415,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93407,c_110]) ).
tff(c_93470,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_93086,c_93072,c_93415,c_12]) ).
tff(c_93432,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93094,c_92]) ).
tff(c_93433,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_93432]) ).
tff(c_93434,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_93433]) ).
tff(c_93087,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93082,c_126]) ).
tff(c_93440,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93434,c_180]) ).
tff(c_93515,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_93087,c_93440,c_83049,c_22]) ).
tff(c_93538,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93434,c_93515,c_83046,c_78]) ).
tff(c_93539,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_93538]) ).
tff(c_93594,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_93483,c_93470,c_93470,c_93539,c_93483,c_93470,c_736]) ).
tff(c_93595,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_93433]) ).
tff(c_93597,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_93595]) ).
tff(c_93421,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83053,c_53011,c_2]) ).
tff(c_93422,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_93421]) ).
tff(c_93756,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_93597,c_93422,c_93422,c_83046,c_93597,c_93422,c_738]) ).
tff(c_93757,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_93595]) ).
tff(c_93886,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93094,c_93757,c_88]) ).
tff(c_93887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_83051,c_198,c_93413,c_93886]) ).
tff(c_93888,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_93421]) ).
tff(c_93940,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_93888,c_48]) ).
tff(c_93941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_93085,c_204,c_93940]) ).
tff(c_93942,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_93093]) ).
tff(c_93950,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93942,c_192]) ).
tff(c_94161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93083,c_93075,c_93950,c_53013,c_24]) ).
tff(c_94162,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_94188,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_94180,c_94162]) ).
tff(c_94189,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_94188]) ).
tff(c_94200,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94189,c_72]) ).
tff(c_94201,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83049,c_194,c_94200]) ).
tff(c_94202,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_94201]) ).
tff(c_94206,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94202,c_128]) ).
tff(c_94183,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94177,c_110]) ).
tff(c_94212,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_94183,c_93073,c_86908]) ).
tff(c_94292,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94212,c_38]) ).
tff(c_94293,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_94206,c_194,c_83053,c_94292]) ).
tff(c_94207,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94202,c_192]) ).
tff(c_94226,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_93076,c_94207,c_53014,c_32]) ).
tff(c_94352,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_94165,c_44]) ).
tff(c_94353,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_94352]) ).
tff(c_94195,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94189,c_168]) ).
tff(c_94218,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94212,c_154]) ).
tff(c_94237,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94226,c_84]) ).
tff(c_94238,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_94195,c_94218,c_94237]) ).
tff(c_94438,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94177,c_94293,c_94293,c_94226,c_94165,c_94165,c_94353,c_94238,c_94238,c_94353,c_53007,c_53007,c_614]) ).
tff(c_94439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_196,c_94438]) ).
tff(c_94440,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_94201]) ).
tff(c_94528,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_94171,c_83053,c_53011,c_2]) ).
tff(c_94616,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94440,c_94528,c_94528,c_94165,c_94440,c_94528,c_752]) ).
tff(c_94617,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_94188]) ).
tff(c_94656,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94617,c_72]) ).
tff(c_94657,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83049,c_198,c_94656]) ).
tff(c_94658,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_94657]) ).
tff(c_94663,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94658,c_192]) ).
tff(c_94668,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_93076,c_94663,c_53014,c_32]) ).
tff(c_94672,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94668,c_140]) ).
tff(c_94688,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94658,c_94617,c_80]) ).
tff(c_94689,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_94688]) ).
tff(c_94690,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_94689]) ).
tff(c_94693,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94690,c_124]) ).
tff(c_94630,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_94183,c_93073,c_86908]) ).
tff(c_94678,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_94171,c_83053,c_53011,c_2]) ).
tff(c_94701,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94630,c_94678,c_46]) ).
tff(c_94702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94672,c_94693,c_200,c_204,c_94701]) ).
tff(c_94703,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_94689]) ).
tff(c_94624,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94617,c_168]) ).
tff(c_94642,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_93076,c_94624,c_92]) ).
tff(c_94643,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_94642]) ).
tff(c_94645,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94643,c_136]) ).
tff(c_94636,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94630,c_154]) ).
tff(c_94754,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_94672,c_94645,c_94636,c_26]) ).
tff(c_94765,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94668,c_94643,c_94754,c_84]) ).
tff(c_94766,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_94765]) ).
tff(c_562,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_94854,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94668,c_94703,c_94703,c_94678,c_94766,c_94766,c_94177,c_83046,c_83046,c_94177,c_94658,c_94658,c_562]) ).
tff(c_94855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_194,c_198,c_94854]) ).
tff(c_94856,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_94657]) ).
tff(c_94868,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_94171,c_83053,c_53011,c_2]) ).
tff(c_95017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94856,c_94868,c_94868,c_94165,c_94856,c_94868,c_752]) ).
tff(c_95018,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_94642]) ).
tff(c_95024,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95018,c_152]) ).
tff(c_95100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94171,c_95024,c_83053,c_53011,c_2]) ).
tff(c_95101,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_94176]) ).
tff(c_724,plain,
( ( op(e2,op(op(e2,e2),e2)) != e1 )
| ( op(e2,e2) != e3 )
| ( op(op(e2,e2),e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_622]) ).
tff(c_95605,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_94165,c_95101,c_95101,c_93068,c_94165,c_95101,c_724]) ).
tff(c_95606,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_94164]) ).
tff(c_95619,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93072,c_12]) ).
tff(c_95620,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_95619]) ).
tff(c_95623,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95620,c_166]) ).
tff(c_95613,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95606,c_164]) ).
tff(c_95624,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95620,c_114]) ).
tff(c_93074,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93068,c_120]) ).
tff(c_95654,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_93073,c_86908]) ).
tff(c_95655,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_95654]) ).
tff(c_95661,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95655,c_112]) ).
tff(c_95680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95624,c_93074,c_83050,c_95661,c_14]) ).
tff(c_95681,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_95654]) ).
tff(c_95751,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_95606,c_48]) ).
tff(c_95752,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_95751]) ).
tff(c_95612,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95606,c_160]) ).
tff(c_95630,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_95612,c_94162]) ).
tff(c_95631,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_95630]) ).
tff(c_95642,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95631,c_72]) ).
tff(c_95643,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_83049,c_194,c_95642]) ).
tff(c_95644,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_95643]) ).
tff(c_95649,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95644,c_192]) ).
tff(c_95694,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_93076,c_95649,c_53014,c_32]) ).
tff(c_95729,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95644,c_95631,c_80]) ).
tff(c_95730,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_95729]) ).
tff(c_95731,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_95730]) ).
tff(c_95884,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95620,c_95681,c_95681,c_95752,c_95631,c_95631,c_95694,c_95731,c_95731,c_95731,c_93068,c_93068,c_416]) ).
tff(c_95885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_202,c_95884]) ).
tff(c_95886,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_95730]) ).
tff(c_95890,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95886,c_148]) ).
tff(c_95900,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_95606,c_48]) ).
tff(c_95901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_95890,c_95900]) ).
tff(c_95902,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_95643]) ).
tff(c_95907,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95902,c_150]) ).
tff(c_95914,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_95907,c_93073,c_86908]) ).
tff(c_95920,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95914,c_112]) ).
tff(c_95948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95624,c_93074,c_83050,c_95920,c_14]) ).
tff(c_95949,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_95630]) ).
tff(c_95956,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95949,c_168]) ).
tff(c_95961,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_93076,c_95613,c_92]) ).
tff(c_95962,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_95961]) ).
tff(c_95964,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95962,c_136]) ).
tff(c_95974,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_93073,c_86908]) ).
tff(c_95975,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_95974]) ).
tff(c_95981,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95975,c_112]) ).
tff(c_96013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95624,c_93074,c_83050,c_95981,c_14]) ).
tff(c_96014,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_95974]) ).
tff(c_96020,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96014,c_154]) ).
tff(c_96040,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95962,c_84]) ).
tff(c_96041,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_53014,c_196,c_96040]) ).
tff(c_96042,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_96041]) ).
tff(c_96046,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96042,c_134]) ).
tff(c_96065,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_95964,c_96020,c_96046,c_26]) ).
tff(c_96070,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96065,c_152]) ).
tff(c_95614,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95606,c_98]) ).
tff(c_96087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96070,c_95614,c_83053,c_53011,c_2]) ).
tff(c_96089,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_96041]) ).
tff(c_96139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95623,c_95613,c_95956,c_96089,c_28]) ).
tff(c_96140,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_95961]) ).
tff(c_96390,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_95606,c_48]) ).
tff(c_96391,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_96390]) ).
tff(c_96536,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_96140,c_96391,c_96391,c_83046,c_96140,c_96391,c_738]) ).
tff(c_96537,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_95619]) ).
tff(c_96539,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_96537]) ).
tff(c_96544,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96539,c_114]) ).
tff(c_96902,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_93074,c_83050,c_96544,c_14]) ).
tff(c_96972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_95606,c_96539,c_96539,c_96902,c_95606,c_96539,c_736]) ).
tff(c_96973,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_96537]) ).
tff(c_97116,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96973,c_110]) ).
tff(c_97145,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_97116,c_93073,c_86908]) ).
tff(c_97150,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97145,c_154]) ).
tff(c_96975,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93076,c_53014,c_32]) ).
tff(c_96976,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96975]) ).
tff(c_96982,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96976,c_192]) ).
tff(c_96989,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96973,c_162]) ).
tff(c_97021,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_96989,c_95612,c_94162]) ).
tff(c_97028,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97021,c_168]) ).
tff(c_96992,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96973,c_110]) ).
tff(c_97010,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_96992,c_93073,c_86908]) ).
tff(c_97015,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97010,c_154]) ).
tff(c_97035,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96976,c_92]) ).
tff(c_97036,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_95613,c_97035]) ).
tff(c_97037,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_97036]) ).
tff(c_97048,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96976,c_97037,c_84]) ).
tff(c_97049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_97028,c_97015,c_97048]) ).
tff(c_97050,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_97036]) ).
tff(c_96998,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_95606,c_48]) ).
tff(c_96999,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_96998]) ).
tff(c_97094,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97050,c_97010,c_96999,c_38]) ).
tff(c_97095,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_97094]) ).
tff(c_97099,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97095,c_128]) ).
tff(c_97108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96982,c_93075,c_97099,c_53013,c_24]) ).
tff(c_97109,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_96975]) ).
tff(c_97170,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97109,c_92]) ).
tff(c_97171,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_95613,c_97170]) ).
tff(c_97172,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_97171]) ).
tff(c_97133,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_83046,c_95606,c_48]) ).
tff(c_97134,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_97133]) ).
tff(c_97140,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97134,c_152]) ).
tff(c_97204,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97109,c_97172,c_96]) ).
tff(c_97205,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_97140,c_97204]) ).
tff(c_97214,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97109,c_97172,c_97205,c_84]) ).
tff(c_97215,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_97150,c_97214]) ).
tff(c_97216,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_97171]) ).
tff(c_97369,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97216,c_97134,c_97134,c_83046,c_97216,c_97134,c_738]) ).
tff(c_97370,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_83044]) ).
tff(c_97378,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97370,c_100]) ).
tff(c_101469,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_40]) ).
tff(c_101470,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_101469]) ).
tff(c_101471,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_101470]) ).
tff(c_101478,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101471,c_98]) ).
tff(c_101483,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_97378,c_101478,c_53011,c_2]) ).
tff(c_101488,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_146]) ).
tff(c_101487,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_148]) ).
tff(c_97376,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97370,c_176]) ).
tff(c_97374,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97370,c_172]) ).
tff(c_97383,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_98951,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_48]) ).
tff(c_98952,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_98951]) ).
tff(c_98953,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_98952]) ).
tff(c_98958,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98953,c_98]) ).
tff(c_98809,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_48]) ).
tff(c_98810,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_98809]) ).
tff(c_98811,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_98810]) ).
tff(c_98815,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98811,c_164]) ).
tff(c_97387,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_142]) ).
tff(c_98814,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98811,c_160]) ).
tff(c_98221,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97378,c_53011,c_2]) ).
tff(c_98222,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_98221]) ).
tff(c_98067,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_18]) ).
tff(c_98164,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98067,c_148]) ).
tff(c_97375,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97370,c_170]) ).
tff(c_97390,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_190]) ).
tff(c_98040,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53012,c_97390,c_72082]) ).
tff(c_98046,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98040,c_120]) ).
tff(c_98044,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98040,c_118]) ).
tff(c_97395,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_97396,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97395,c_158]) ).
tff(c_97377,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97370,c_102]) ).
tff(c_97400,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97395,c_114]) ).
tff(c_97406,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53012,c_97390,c_72082]) ).
tff(c_97411,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97406,c_120]) ).
tff(c_97401,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97395,c_110]) ).
tff(c_97399,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97395,c_166]) ).
tff(c_97429,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_40]) ).
tff(c_97430,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_97429]) ).
tff(c_97431,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_97430]) ).
tff(c_97435,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97431,c_164]) ).
tff(c_97704,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_97399,c_97387,c_97435,c_28]) ).
tff(c_97441,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_96]) ).
tff(c_97442,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_97399,c_97441]) ).
tff(c_97443,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_97442]) ).
tff(c_97445,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97443,c_136]) ).
tff(c_97386,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_140]) ).
tff(c_97568,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_97399,c_97387,c_97435,c_28]) ).
tff(c_97410,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97406,c_116]) ).
tff(c_97398,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97395,c_162]) ).
tff(c_97417,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_97398,c_20]) ).
tff(c_97418,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_97417]) ).
tff(c_97421,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97418,c_122]) ).
tff(c_97453,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97421,c_18]) ).
tff(c_97454,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_97453]) ).
tff(c_97457,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97454,c_128]) ).
tff(c_97389,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_192]) ).
tff(c_97412,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97406,c_186]) ).
tff(c_97475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97457,c_97389,c_97412,c_53013,c_24]) ).
tff(c_97476,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_97453]) ).
tff(c_97478,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_97476]) ).
tff(c_97483,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97478,c_150]) ).
tff(c_97511,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_97401,c_97410,c_97483,c_10]) ).
tff(c_97633,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97568,c_97395,c_97395,c_97511,c_97568,c_97395,c_762]) ).
tff(c_97634,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_97476]) ).
tff(c_97643,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97634,c_156]) ).
tff(c_97695,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_97445,c_97386,c_97643,c_26]) ).
tff(c_97699,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97695,c_134]) ).
tff(c_97713,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97704,c_97699]) ).
tff(c_97714,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_97442]) ).
tff(c_97719,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97714,c_152]) ).
tff(c_97782,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_97431,c_48]) ).
tff(c_97783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_97719,c_97782]) ).
tff(c_97784,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_97430]) ).
tff(c_97808,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_97784,c_48]) ).
tff(c_97809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_97396,c_202,c_97808]) ).
tff(c_97810,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_97417]) ).
tff(c_97812,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_97810]) ).
tff(c_97816,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97812,c_122]) ).
tff(c_97824,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97816,c_18]) ).
tff(c_97825,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_97824]) ).
tff(c_97827,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97825,c_148]) ).
tff(c_97872,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_48]) ).
tff(c_97873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_97396,c_97827,c_97872]) ).
tff(c_97874,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_97824]) ).
tff(c_97876,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_97874]) ).
tff(c_97882,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97876,c_124]) ).
tff(c_97818,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97812,c_126]) ).
tff(c_97945,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97374,c_97882,c_97818,c_22]) ).
tff(c_97949,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97945,c_132]) ).
tff(c_97956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97949,c_97389,c_97412,c_53013,c_24]) ).
tff(c_97957,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_97874]) ).
tff(c_97964,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97957,c_150]) ).
tff(c_97971,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_97401,c_97964,c_97410,c_10]) ).
tff(c_97977,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97971,c_112]) ).
tff(c_98020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97400,c_97375,c_97411,c_97977,c_14]) ).
tff(c_98021,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_97810]) ).
tff(c_98027,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98021,c_160]) ).
tff(c_98037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97396,c_97377,c_98027,c_53010,c_4]) ).
tff(c_98038,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_98054,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_98044,c_98038]) ).
tff(c_98055,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_98054]) ).
tff(c_98061,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98055,c_114]) ).
tff(c_98090,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97375,c_98046,c_98061,c_14]) ).
tff(c_98096,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98090,c_178]) ).
tff(c_98068,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_48]) ).
tff(c_98069,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_98068]) ).
tff(c_98070,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_98069]) ).
tff(c_98084,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98070,c_164]) ).
tff(c_98076,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98067,c_156]) ).
tff(c_98060,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98055,c_166]) ).
tff(c_98101,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_84]) ).
tff(c_98102,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_98060,c_98101]) ).
tff(c_98103,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_98102]) ).
tff(c_98123,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_98103,c_96]) ).
tff(c_98124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_98084,c_98076,c_98123]) ).
tff(c_98125,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_98102]) ).
tff(c_98160,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_98125,c_96]) ).
tff(c_98161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_98096,c_98084,c_200,c_98160]) ).
tff(c_98162,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_98069]) ).
tff(c_98195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98164,c_98162]) ).
tff(c_98196,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_18]) ).
tff(c_98198,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_98196]) ).
tff(c_98205,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98198,c_156]) ).
tff(c_98210,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_84]) ).
tff(c_98211,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_98060,c_98205,c_98210]) ).
tff(c_98045,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98040,c_116]) ).
tff(c_98358,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98198,c_98222,c_38]) ).
tff(c_98359,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_98045,c_202,c_98358]) ).
tff(c_98377,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_98211,c_98359,c_96]) ).
tff(c_98378,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_98377]) ).
tff(c_98047,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98040,c_186]) ).
tff(c_98203,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98198,c_124]) ).
tff(c_98309,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97374,c_98203,c_22]) ).
tff(c_98310,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_98309]) ).
tff(c_98285,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_98222,c_40]) ).
tff(c_98286,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_98285]) ).
tff(c_98290,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98286,c_160]) ).
tff(c_98059,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98055,c_162]) ).
tff(c_98232,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98059,c_20]) ).
tff(c_98233,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_98232]) ).
tff(c_98238,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98233,c_168]) ).
tff(c_98226,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98222,c_152]) ).
tff(c_98281,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_98211,c_96]) ).
tff(c_98282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_98238,c_98226,c_98281]) ).
tff(c_98283,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_98232]) ).
tff(c_98296,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_98290,c_98283]) ).
tff(c_98334,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98310,c_98296,c_98198,c_72]) ).
tff(c_98335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98047,c_202,c_198,c_194,c_98334]) ).
tff(c_98336,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_98309]) ).
tff(c_574,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_98494,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98222,c_98198,c_98198,c_97383,c_98378,c_98378,c_98055,c_98336,c_98336,c_98222,c_53007,c_53007,c_574]) ).
tff(c_98495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_200,c_98494]) ).
tff(c_98496,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_98221]) ).
tff(c_98557,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97375,c_98046,c_98061,c_14]) ).
tff(c_98561,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98557,c_174]) ).
tff(c_98508,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98059,c_20]) ).
tff(c_98509,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_98508]) ).
tff(c_98512,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98509,c_160]) ).
tff(c_98531,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_98496,c_48]) ).
tff(c_98532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_98512,c_202,c_98531]) ).
tff(c_98533,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_98508]) ).
tff(c_98535,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_98533]) ).
tff(c_98540,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98535,c_126]) ).
tff(c_98611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98561,c_97374,c_98540,c_98203,c_22]) ).
tff(c_98612,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_98533]) ).
tff(c_98502,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98496,c_98]) ).
tff(c_98625,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_97377,c_98502,c_53010,c_4]) ).
tff(c_98665,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98612,c_98055,c_98625,c_54]) ).
tff(c_98666,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_98665]) ).
tff(c_98655,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98612,c_98198,c_72]) ).
tff(c_98656,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_98047,c_198,c_194,c_98655]) ).
tff(c_576,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_98792,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98496,c_98198,c_98198,c_98055,c_98666,c_98666,c_98055,c_98656,c_98656,c_98055,c_98040,c_98040,c_576]) ).
tff(c_98793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_194,c_98792]) ).
tff(c_98794,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_98196]) ).
tff(c_98796,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_98794]) ).
tff(c_98803,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98796,c_122]) ).
tff(c_98841,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_98814,c_98803,c_98059,c_20]) ).
tff(c_98847,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98841,c_168]) ).
tff(c_98911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98815,c_97387,c_98847,c_98060,c_28]) ).
tff(c_98912,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_98810]) ).
tff(c_98928,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98912,c_146]) ).
tff(c_98801,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98796,c_150]) ).
tff(c_98062,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98055,c_110]) ).
tff(c_98935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98928,c_98801,c_98045,c_98062,c_10]) ).
tff(c_98936,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_98794]) ).
tff(c_98940,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98936,c_148]) ).
tff(c_99202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98958,c_97378,c_98940,c_53011,c_2]) ).
tff(c_99203,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_98952]) ).
tff(c_99418,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97375,c_98046,c_98061,c_14]) ).
tff(c_248,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_99555,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_99203,c_99203,c_99203,c_98055,c_98055,c_97383,c_99418,c_99418,c_98055,c_98040,c_98040,c_248]) ).
tff(c_99556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_194,c_99555]) ).
tff(c_99557,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_98054]) ).
tff(c_99562,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99557,c_162]) ).
tff(c_99571,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_40]) ).
tff(c_99572,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_99571]) ).
tff(c_99573,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_99572]) ).
tff(c_99576,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99573,c_160]) ).
tff(c_99583,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_98047,c_99576,c_72]) ).
tff(c_99584,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_99583]) ).
tff(c_99590,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99584,c_180]) ).
tff(c_99577,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99573,c_164]) ).
tff(c_99578,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99573,c_98]) ).
tff(c_99595,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_97378,c_99578,c_53011,c_2]) ).
tff(c_99600,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99595,c_146]) ).
tff(c_99565,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99557,c_110]) ).
tff(c_99683,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_99600,c_99565,c_98045,c_10]) ).
tff(c_99606,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_84]) ).
tff(c_99607,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_99606]) ).
tff(c_99608,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_99607]) ).
tff(c_99601,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99595,c_152]) ).
tff(c_99666,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99608,c_136]) ).
tff(c_99708,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_99601,c_97386,c_99666,c_26]) ).
tff(c_99742,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_99608,c_99708,c_96]) ).
tff(c_99743,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_99742]) ).
tff(c_99668,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99608,c_178]) ).
tff(c_99700,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97375,c_98046,c_99668,c_14]) ).
tff(c_444,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_99857,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99595,c_99683,c_99683,c_97383,c_99743,c_99743,c_97383,c_99700,c_99700,c_99584,c_97383,c_97383,c_444]) ).
tff(c_99858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_198,c_202,c_99857]) ).
tff(c_99859,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_99607]) ).
tff(c_99861,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_99859]) ).
tff(c_99925,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_99861,c_88]) ).
tff(c_99926,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_99590,c_99577,c_194,c_99925]) ).
tff(c_99927,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_99859]) ).
tff(c_99933,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99927,c_168]) ).
tff(c_99951,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_99562,c_99576,c_99933,c_20]) ).
tff(c_99955,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99951,c_130]) ).
tff(c_99991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99955,c_97389,c_98047,c_53013,c_24]) ).
tff(c_99992,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_99583]) ).
tff(c_99997,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99992,c_124]) ).
tff(c_100125,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_99562,c_99576,c_20]) ).
tff(c_100126,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_100125]) ).
tff(c_100169,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100126,c_130]) ).
tff(c_100199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100169,c_97389,c_98047,c_53013,c_24]) ).
tff(c_100200,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_100125]) ).
tff(c_100235,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100200,c_126]) ).
tff(c_100262,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97374,c_99997,c_100235,c_22]) ).
tff(c_100267,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100262,c_174]) ).
tff(c_100006,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_99565,c_98045,c_10]) ).
tff(c_100007,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_100006]) ).
tff(c_100010,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100007,c_146]) ).
tff(c_100112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100010,c_97378,c_99578,c_53011,c_2]) ).
tff(c_100113,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_100006]) ).
tff(c_100120,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100113,c_112]) ).
tff(c_100285,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100267,c_97375,c_98046,c_100120,c_14]) ).
tff(c_100286,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_99572]) ).
tff(c_101139,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_100286,c_48]) ).
tff(c_101140,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_101139]) ).
tff(c_101144,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101140,c_164]) ).
tff(c_101366,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_96]) ).
tff(c_101367,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_101144,c_101366]) ).
tff(c_101368,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_101367]) ).
tff(c_101372,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101368,c_180]) ).
tff(c_100310,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_100286,c_48]) ).
tff(c_100311,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_100310]) ).
tff(c_100315,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100311,c_160]) ).
tff(c_100290,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100286,c_148]) ).
tff(c_100298,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_98047,c_100290,c_72]) ).
tff(c_100299,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_100298]) ).
tff(c_100303,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100299,c_126]) ).
tff(c_100907,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_100315,c_99562,c_100303,c_20]) ).
tff(c_100292,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100286,c_152]) ).
tff(c_100321,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_98046,c_14]) ).
tff(c_100322,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_100321]) ).
tff(c_100326,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100322,c_178]) ).
tff(c_100305,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100299,c_180]) ).
tff(c_100325,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100322,c_112]) ).
tff(c_100331,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100290,c_18]) ).
tff(c_100332,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_100331]) ).
tff(c_100334,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100332,c_128]) ).
tff(c_100369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100334,c_97389,c_98047,c_53013,c_24]) ).
tff(c_100370,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_100331]) ).
tff(c_100372,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_100370]) ).
tff(c_100376,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100372,c_150]) ).
tff(c_100442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100325,c_99565,c_98045,c_100376,c_10]) ).
tff(c_100443,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_100370]) ).
tff(c_100460,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100443,c_100286,c_34]) ).
tff(c_100461,plain,
( ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_100460]) ).
tff(c_100462,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_100461]) ).
tff(c_100466,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100462,c_136]) ).
tff(c_100515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100326,c_97376,c_100305,c_100466,c_30]) ).
tff(c_100517,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_100461]) ).
tff(c_100549,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_97386,c_100292,c_100517,c_26]) ).
tff(c_100526,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99557,c_100311,c_54]) ).
tff(c_100527,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_100303,c_198,c_202,c_100526]) ).
tff(c_100682,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_100549,c_100549,c_99557,c_100527,c_100527,c_100299,c_97370,c_97370,c_99557,c_98040,c_98040,c_688]) ).
tff(c_100683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_194,c_198,c_100682]) ).
tff(c_100684,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_100321]) ).
tff(c_100688,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_100684,c_112]) ).
tff(c_100929,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_99565,c_98045,c_100688,c_10]) ).
tff(c_100983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_100907,c_99557,c_99557,c_100929,c_100907,c_99557,c_764]) ).
tff(c_100985,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_100298]) ).
tff(c_101151,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_98046,c_14]) ).
tff(c_101152,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_101151]) ).
tff(c_101179,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101152,c_174]) ).
tff(c_101255,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_101179,c_97374,c_100985,c_22]) ).
tff(c_101080,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53007,c_97370,c_100286,c_48]) ).
tff(c_101081,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_101080]) ).
tff(c_101085,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101081,c_164]) ).
tff(c_101045,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97383,c_96]) ).
tff(c_101046,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_101045]) ).
tff(c_101047,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_101046]) ).
tff(c_101049,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101047,c_136]) ).
tff(c_100996,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100290,c_18]) ).
tff(c_100997,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_100996]) ).
tff(c_100999,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100997,c_128]) ).
tff(c_101031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100999,c_97389,c_98047,c_53013,c_24]) ).
tff(c_101032,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_100996]) ).
tff(c_101034,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_101032]) ).
tff(c_101040,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101034,c_156]) ).
tff(c_101077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101049,c_97386,c_100292,c_101040,c_26]) ).
tff(c_101078,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_101046]) ).
tff(c_101090,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_101085,c_101078]) ).
tff(c_101096,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101090,c_154]) ).
tff(c_101038,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101034,c_150]) ).
tff(c_101125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101096,c_99565,c_98045,c_101038,c_10]) ).
tff(c_101126,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_101032]) ).
tff(c_502,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_101353,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101255,c_101126,c_101126,c_101255,c_99557,c_99557,c_97383,c_101152,c_101152,c_100286,c_53007,c_53007,c_502]) ).
tff(c_101354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_194,c_101353]) ).
tff(c_101355,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_101151]) ).
tff(c_101359,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101355,c_174]) ).
tff(c_101421,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101372,c_97374,c_100985,c_101359,c_22]) ).
tff(c_101422,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_101367]) ).
tff(c_101430,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101422,c_154]) ).
tff(c_101465,plain,
( ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98040,c_101355,c_99557,c_64]) ).
tff(c_101466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_101430,c_101465]) ).
tff(c_101467,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_101494,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_97376,c_101467]) ).
tff(c_101495,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_101494]) ).
tff(c_101501,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101495,c_156]) ).
tff(c_101468,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_101500,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101495,c_154]) ).
tff(c_101506,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53012,c_72082]) ).
tff(c_101507,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_101506]) ).
tff(c_101513,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101507,c_116]) ).
tff(c_101842,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101488,c_101500,c_101513,c_10]) ).
tff(c_101846,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101842,c_112]) ).
tff(c_101533,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101495,c_96]) ).
tff(c_101534,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_101533]) ).
tff(c_101535,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_101534]) ).
tff(c_101729,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101535,c_192]) ).
tff(c_101514,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101507,c_120]) ).
tff(c_101734,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_101514,c_14]) ).
tff(c_101735,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_101734]) ).
tff(c_101738,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101735,c_174]) ).
tff(c_101521,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101487,c_101501,c_18]) ).
tff(c_101522,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_101521]) ).
tff(c_101527,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101522,c_124]) ).
tff(c_101819,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_101738,c_97374,c_101527,c_22]) ).
tff(c_101515,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101507,c_186]) ).
tff(c_101759,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_101729,c_101515,c_53013,c_24]) ).
tff(c_101557,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101488,c_101500,c_101513,c_10]) ).
tff(c_101476,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101471,c_160]) ).
tff(c_101536,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_101476,c_20]) ).
tff(c_101537,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_101536]) ).
tff(c_101551,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101537,c_126]) ).
tff(c_101629,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_101551,c_97374,c_101527,c_22]) ).
tff(c_101543,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101535,c_192]) ).
tff(c_101600,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_101543,c_101515,c_53013,c_24]) ).
tff(c_418,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_101720,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_101557,c_101557,c_101535,c_101537,c_101537,c_101483,c_101629,c_101629,c_101629,c_101600,c_101600,c_418]) ).
tff(c_101721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_196,c_101720]) ).
tff(c_101722,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_101536]) ).
tff(c_101746,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_101722]) ).
tff(c_101802,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101759,c_101746,c_101522,c_80]) ).
tff(c_101803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_101738,c_200,c_202,c_101802]) ).
tff(c_101804,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_101722]) ).
tff(c_101838,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101819,c_101804,c_101522,c_80]) ).
tff(c_101839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101729,c_200,c_204,c_202,c_101838]) ).
tff(c_101840,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_101734]) ).
tff(c_101852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101846,c_101840]) ).
tff(c_101854,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_101534]) ).
tff(c_101516,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101507,c_190]) ).
tff(c_101866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101854,c_101468,c_101516,c_53014,c_32]) ).
tff(c_101867,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_101521]) ).
tff(c_101872,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101867,c_150]) ).
tff(c_101955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101488,c_101500,c_101513,c_101872,c_10]) ).
tff(c_101956,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_101506]) ).
tff(c_102676,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97370,c_78]) ).
tff(c_102677,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_102676]) ).
tff(c_102678,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_102677]) ).
tff(c_102682,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102678,c_178]) ).
tff(c_101970,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101488,c_101500,c_10]) ).
tff(c_101971,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_101970]) ).
tff(c_101974,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101971,c_150]) ).
tff(c_102017,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101487,c_101501,c_101974,c_18]) ).
tff(c_101981,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_101468,c_53014,c_32]) ).
tff(c_101982,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_101981]) ).
tff(c_101985,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101982,c_142]) ).
tff(c_101477,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101471,c_164]) ).
tff(c_101992,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101982,c_101495,c_88]) ).
tff(c_101993,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_101477,c_198,c_101992]) ).
tff(c_101998,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101993,c_180]) ).
tff(c_102005,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97374,c_101998,c_22]) ).
tff(c_102006,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_102005]) ).
tff(c_102011,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102006,c_126]) ).
tff(c_102031,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101471,c_62]) ).
tff(c_102032,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_101985,c_102011,c_202,c_102031]) ).
tff(c_102171,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_102017,c_102017,c_102032,c_101471,c_101471,c_102006,c_97370,c_97370,c_101483,c_53007,c_53007,c_462]) ).
tff(c_102172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_200,c_102171]) ).
tff(c_102173,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_102005]) ).
tff(c_102178,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102173,c_124]) ).
tff(c_102186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101487,c_101501,c_101974,c_102178,c_18]) ).
tff(c_102187,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_101981]) ).
tff(c_102193,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102187,c_192]) ).
tff(c_102201,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101487,c_101501,c_101974,c_18]) ).
tff(c_102404,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102201,c_72]) ).
tff(c_102405,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_102193,c_101476,c_194,c_102404]) ).
tff(c_102423,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102405,c_102201,c_80]) ).
tff(c_102424,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_102423]) ).
tff(c_102425,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_102424]) ).
tff(c_102429,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102425,c_130]) ).
tff(c_102207,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102201,c_122]) ).
tff(c_102436,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_102429,c_101476,c_102207,c_20]) ).
tff(c_102192,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102187,c_144]) ).
tff(c_101975,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101971,c_112]) ).
tff(c_102212,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_101975,c_14]) ).
tff(c_102213,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_102212]) ).
tff(c_102217,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102213,c_178]) ).
tff(c_102235,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_102217,c_97376,c_102192,c_30]) ).
tff(c_102367,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_101956,c_102187,c_102187,c_102235,c_101956,c_102187,c_730]) ).
tff(c_102368,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_102212]) ).
tff(c_102373,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102368,c_178]) ).
tff(c_102380,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97376,c_102192,c_102373,c_30]) ).
tff(c_102546,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102405,c_101495,c_101495,c_102405,c_102436,c_102436,c_102187,c_102380,c_102380,c_101483,c_53007,c_53007,c_678]) ).
tff(c_102547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_202,c_200,c_102546]) ).
tff(c_102549,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_102424]) ).
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_102562,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102187,c_101956,c_53007,c_94]) ).
tff(c_102563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_102549,c_204,c_200,c_102562]) ).
tff(c_102564,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_101970]) ).
tff(c_102570,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102564,c_112]) ).
tff(c_102688,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_102682,c_97375,c_102570,c_14]) ).
tff(c_102767,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101956,c_102688,c_102564,c_64]) ).
tff(c_102768,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_102767]) ).
tff(c_102576,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101476,c_72]) ).
tff(c_102577,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_102576]) ).
tff(c_102581,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102577,c_128]) ).
tff(c_102569,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102564,c_150]) ).
tff(c_102648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101487,c_101501,c_102581,c_102569,c_18]) ).
tff(c_102649,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_102576]) ).
tff(c_102651,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_102649]) ).
tff(c_102662,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101495,c_88]) ).
tff(c_102663,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101477,c_198,c_102662]) ).
tff(c_102664,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_102663]) ).
tff(c_102683,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102678,c_180]) ).
tff(c_102698,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102651,c_80]) ).
tff(c_102699,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_102683,c_202,c_102698]) ).
tff(c_102700,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_102699]) ).
tff(c_102851,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102768,c_102651,c_102651,c_102768,c_101471,c_101471,c_102664,c_102678,c_102678,c_102664,c_102700,c_102700,c_490]) ).
tff(c_102852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_198,c_102851]) ).
tff(c_102854,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_102699]) ).
tff(c_102906,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102664,c_101956,c_53007,c_94]) ).
tff(c_102907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_102854,c_204,c_200,c_102906]) ).
tff(c_102908,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_102677]) ).
tff(c_102910,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_102908]) ).
tff(c_102915,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102910,c_114]) ).
tff(c_101960,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101956,c_118]) ).
tff(c_101475,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101471,c_158]) ).
tff(c_102571,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102564,c_110]) ).
tff(c_102974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102915,c_101960,c_101475,c_102571,c_12]) ).
tff(c_102975,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_102908]) ).
tff(c_102979,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102975,c_132]) ).
tff(c_101963,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101956,c_186]) ).
tff(c_102650,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_102576]) ).
tff(c_103044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102979,c_101963,c_102650,c_53013,c_24]) ).
tff(c_103046,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_102663]) ).
tff(c_103056,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_101468,c_103046,c_53014,c_32]) ).
tff(c_103061,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103056,c_192]) ).
tff(c_103104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103061,c_101963,c_102650,c_53013,c_24]) ).
tff(c_103106,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_102649]) ).
tff(c_103208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101487,c_101501,c_103106,c_102569,c_18]) ).
tff(c_103209,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_101494]) ).
tff(c_103215,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103209,c_166]) ).
tff(c_103944,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_103215,c_101475,c_12]) ).
tff(c_103945,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_103944]) ).
tff(c_103949,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103945,c_162]) ).
tff(c_103216,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103209,c_168]) ).
tff(c_104178,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_103949,c_103216,c_101476,c_20]) ).
tff(c_104184,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104178,c_126]) ).
tff(c_103221,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_14]) ).
tff(c_103222,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_103221]) ).
tff(c_103224,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103222,c_174]) ).
tff(c_103227,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103222,c_178]) ).
tff(c_101489,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_152]) ).
tff(c_103886,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103209,c_96]) ).
tff(c_103887,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_103227,c_204,c_101489,c_103886]) ).
tff(c_103892,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103887,c_192]) ).
tff(c_103228,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103222,c_114]) ).
tff(c_103233,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53012,c_72082]) ).
tff(c_103234,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_103233]) ).
tff(c_103268,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103234,c_53007,c_90]) ).
tff(c_103269,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_101468,c_198,c_196,c_103268]) ).
tff(c_103274,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103269,c_128]) ).
tff(c_103294,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101487,c_103274,c_18]) ).
tff(c_103295,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_103294]) ).
tff(c_103299,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103295,c_124]) ).
tff(c_103305,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_103224,c_97374,c_103299,c_22]) ).
tff(c_103210,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_101494]) ).
tff(c_103300,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103295,c_156]) ).
tff(c_103318,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_101489,c_103210,c_103300,c_26]) ).
tff(c_103330,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103318,c_103295,c_101483,c_42]) ).
tff(c_103331,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_103330]) ).
tff(c_103240,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103234,c_190]) ).
tff(c_103280,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_101468,c_103240,c_53014,c_32]) ).
tff(c_103247,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_103216,c_101476,c_20]) ).
tff(c_103248,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_103247]) ).
tff(c_103436,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103305,c_103331,c_103331,c_103280,c_103248,c_103248,c_101483,c_103305,c_103305,c_103305,c_103269,c_103269,c_418]) ).
tff(c_103437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_204,c_196,c_103436]) ).
tff(c_103438,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_103294]) ).
tff(c_103259,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_103228,c_103215,c_101475,c_12]) ).
tff(c_103450,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_103227,c_97376,c_30]) ).
tff(c_103451,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_103450]) ).
tff(c_103456,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103451,c_136]) ).
tff(c_103444,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103438,c_156]) ).
tff(c_103462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101489,c_103210,c_103456,c_103444,c_26]) ).
tff(c_103463,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_103450]) ).
tff(c_103521,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103463,c_103222,c_97370,c_70]) ).
tff(c_103522,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_103521]) ).
tff(c_498,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_103595,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101483,c_103438,c_103438,c_101483,c_103259,c_103259,c_103522,c_97370,c_97370,c_103522,c_103269,c_103269,c_498]) ).
tff(c_103596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_198,c_103595]) ).
tff(c_103597,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_103247]) ).
tff(c_103603,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103597,c_162]) ).
tff(c_103647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103228,c_103215,c_101475,c_103603,c_12]) ).
tff(c_103648,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_103233]) ).
tff(c_103654,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103648,c_186]) ).
tff(c_103897,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_103892,c_103654,c_53013,c_24]) ).
tff(c_103901,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103897,c_132]) ).
tff(c_103653,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_103648,c_116]) ).
tff(c_103675,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_103228,c_103215,c_101475,c_12]) ).
tff(c_103679,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103675,c_110]) ).
tff(c_103695,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_101488,c_103653,c_103679,c_10]) ).
tff(c_103700,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103695,c_154]) ).
tff(c_103663,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_103216,c_101476,c_20]) ).
tff(c_103664,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_103663]) ).
tff(c_103667,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103664,c_130]) ).
tff(c_103684,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_103667,c_103654,c_53013,c_24]) ).
tff(c_103772,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103684,c_103648,c_53007,c_94]) ).
tff(c_103773,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_103772]) ).
tff(c_103699,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103695,c_150]) ).
tff(c_103705,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_101487,c_103699,c_18]) ).
tff(c_103706,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_103705]) ).
tff(c_103751,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103684,c_103664,c_103706,c_68]) ).
tff(c_103752,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_103751]) ).
tff(c_103851,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103675,c_103695,c_103695,c_103773,c_103664,c_103664,c_101483,c_103752,c_103752,c_103675,c_103684,c_103684,c_418]) ).
tff(c_103852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_204,c_196,c_103851]) ).
tff(c_103853,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_103705]) ).
tff(c_103858,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103853,c_156]) ).
tff(c_103872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101489,c_103210,c_103700,c_103858,c_26]) ).
tff(c_103873,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_103663]) ).
tff(c_103880,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103873,c_126]) ).
tff(c_103941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103224,c_97374,c_103901,c_103880,c_22]) ).
tff(c_103942,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_103221]) ).
tff(c_103956,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_103942]) ).
tff(c_104164,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103209,c_103945,c_103945,c_103956,c_103209,c_103945,c_734]) ).
tff(c_104165,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_103942]) ).
tff(c_104169,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104165,c_174]) ).
tff(c_104214,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97374,c_104169,c_104184,c_22]) ).
tff(c_104202,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103209,c_96]) ).
tff(c_104203,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_101489,c_104202]) ).
tff(c_104204,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_104203]) ).
tff(c_104225,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104214,c_104165,c_97370,c_66]) ).
tff(c_104226,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_104225]) ).
tff(c_104235,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104204,c_104226,c_103209,c_88]) ).
tff(c_104236,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_104235]) ).
tff(c_104241,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104236,c_156]) ).
tff(c_104183,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104178,c_122]) ).
tff(c_104277,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_101487,c_104241,c_104183,c_18]) ).
tff(c_104265,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104214,c_104178,c_72]) ).
tff(c_104266,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_104241,c_104265]) ).
tff(c_482,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_104381,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104214,c_104277,c_104277,c_103945,c_101471,c_101471,c_104204,c_104214,c_104214,c_103945,c_104266,c_104266,c_482]) ).
tff(c_104382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_204,c_204,c_104381]) ).
tff(c_104383,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_104203]) ).
tff(c_104396,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104383,c_104165,c_97370,c_66]) ).
tff(c_104397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_104184,c_194,c_196,c_104396]) ).
tff(c_104398,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_103944]) ).
tff(c_104404,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104398,c_114]) ).
tff(c_104413,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_104404,c_103942]) ).
tff(c_104419,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104413,c_120]) ).
tff(c_104425,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53012,c_104419,c_72082]) ).
tff(c_104429,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104425,c_116]) ).
tff(c_104418,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104413,c_112]) ).
tff(c_104405,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104398,c_110]) ).
tff(c_104514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101488,c_104429,c_104418,c_104405,c_10]) ).
tff(c_104515,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_101470]) ).
tff(c_106086,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_146]) ).
tff(c_106168,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53012,c_72082]) ).
tff(c_106169,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_106168]) ).
tff(c_106176,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106169,c_190]) ).
tff(c_106577,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_101468,c_106176,c_53014,c_32]) ).
tff(c_104517,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_104555,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104517,c_154]) ).
tff(c_104554,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104517,c_150]) ).
tff(c_104520,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_148]) ).
tff(c_105008,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_104554,c_104520,c_18]) ).
tff(c_105009,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_105008]) ).
tff(c_105015,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105009,c_156]) ).
tff(c_104522,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_152]) ).
tff(c_105077,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_104555,c_105015,c_104522,c_26]) ).
tff(c_104516,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_101470]) ).
tff(c_104569,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_97377,c_104516,c_53010,c_4]) ).
tff(c_104574,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104569,c_160]) ).
tff(c_105014,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105009,c_122]) ).
tff(c_104556,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104517,c_112]) ).
tff(c_104563,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_14]) ).
tff(c_104564,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_104563]) ).
tff(c_104565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104556,c_104564]) ).
tff(c_104566,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_104563]) ).
tff(c_104568,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_104566]) ).
tff(c_104585,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104568,c_114]) ).
tff(c_104529,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_104535,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104517,c_110]) ).
tff(c_104550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104529,c_104535]) ).
tff(c_104551,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_104590,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_104585,c_104551]) ).
tff(c_104591,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_104590]) ).
tff(c_104595,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104591,c_162]) ).
tff(c_105063,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_104574,c_105014,c_104595,c_20]) ).
tff(c_105012,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105009,c_128]) ).
tff(c_104601,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_101468,c_53014,c_32]) ).
tff(c_104602,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_104601]) ).
tff(c_104608,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104602,c_192]) ).
tff(c_104594,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104591,c_118]) ).
tff(c_104808,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53012,c_104594,c_72082]) ).
tff(c_104812,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104808,c_186]) ).
tff(c_104614,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_97376,c_101467]) ).
tff(c_104615,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_104614]) ).
tff(c_104676,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104615,c_104517,c_104515,c_34]) ).
tff(c_104677,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_104676]) ).
tff(c_104607,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104602,c_144]) ).
tff(c_104584,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104568,c_178]) ).
tff(c_104699,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_104607,c_97376,c_104584,c_30]) ).
tff(c_104708,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104602,c_104699,c_104615,c_84]) ).
tff(c_104709,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_104708]) ).
tff(c_104793,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_104677,c_104677,c_104515,c_104709,c_104709,c_104591,c_104699,c_104699,c_104515,c_53007,c_53007,c_582]) ).
tff(c_104794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_202,c_194,c_104793]) ).
tff(c_104795,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_104614]) ).
tff(c_104853,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104602,c_104795,c_84]) ).
tff(c_104854,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_104584,c_196,c_104853]) ).
tff(c_104892,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104602,c_104795,c_104854,c_88]) ).
tff(c_104893,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_104892]) ).
tff(c_104817,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_104595,c_104520,c_72]) ).
tff(c_104818,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_104817]) ).
tff(c_104822,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104818,c_132]) ).
tff(c_104582,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104568,c_174]) ).
tff(c_104879,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97374,c_104822,c_104582,c_22]) ).
tff(c_104803,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104795,c_168]) ).
tff(c_104842,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_104574,c_104803,c_104595,c_20]) ).
tff(c_104969,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104893,c_104879,c_104879,c_104842,c_104893,c_104879,c_746]) ).
tff(c_104971,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_104817]) ).
tff(c_105005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104608,c_104812,c_104971,c_53013,c_24]) ).
tff(c_105006,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_104601]) ).
tff(c_105025,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105006,c_192]) ).
tff(c_105091,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_105012,c_105025,c_53013,c_24]) ).
tff(c_105100,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105091,c_105063,c_105009,c_72]) ).
tff(c_105101,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_105100]) ).
tff(c_105198,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_105077,c_105077,c_104515,c_105063,c_105063,c_105101,c_97370,c_97370,c_104591,c_105006,c_105006,c_660]) ).
tff(c_105199,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_202,c_105198]) ).
tff(c_105200,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_105008]) ).
tff(c_105202,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_104574,c_104595,c_20]) ).
tff(c_105203,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_105202]) ).
tff(c_105206,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105203,c_130]) ).
tff(c_105220,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105006,c_192]) ).
tff(c_105236,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_105206,c_105220,c_53013,c_24]) ).
tff(c_105275,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105236,c_105203,c_105200,c_72]) ).
tff(c_105276,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_105275]) ).
tff(c_105209,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105203,c_168]) ).
tff(c_105254,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_105209,c_97376,c_101467]) ).
tff(c_105391,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105276,c_105254,c_105254,c_105006,c_104569,c_104569,c_104591,c_105276,c_105276,c_104591,c_105006,c_105006,c_612]) ).
tff(c_105392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_202,c_105391]) ).
tff(c_105393,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_105202]) ).
tff(c_105413,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105393,c_122]) ).
tff(c_105431,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105200,c_105413]) ).
tff(c_105432,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_104590]) ).
tff(c_104575,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104569,c_164]) ).
tff(c_105438,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105432,c_166]) ).
tff(c_105444,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_105438,c_97376,c_101467]) ).
tff(c_105455,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105444,c_96]) ).
tff(c_105456,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_104575,c_204,c_105455]) ).
tff(c_105457,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_105456]) ).
tff(c_105461,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105457,c_144]) ).
tff(c_105490,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_105461,c_97376,c_104584,c_30]) ).
tff(c_105495,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105490,c_180]) ).
tff(c_105510,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97374,c_105495,c_104582,c_22]) ).
tff(c_105637,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105432,c_104515,c_104515,c_105457,c_104569,c_104569,c_105457,c_105510,c_105510,c_104515,c_53007,c_53007,c_222]) ).
tff(c_105638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_204,c_194,c_105637]) ).
tff(c_105640,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_105456]) ).
tff(c_105436,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105432,c_118]) ).
tff(c_105650,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_53012,c_105436,c_72082]) ).
tff(c_105655,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105650,c_190]) ).
tff(c_105671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105640,c_101468,c_105655,c_53014,c_32]) ).
tff(c_105672,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_104566]) ).
tff(c_105677,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105672,c_120]) ).
tff(c_105805,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_97377,c_104516,c_53010,c_4]) ).
tff(c_105679,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105672,c_114]) ).
tff(c_105748,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_105679,c_104551]) ).
tff(c_105749,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_105748]) ).
tff(c_105795,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_53012,c_105677,c_72082]) ).
tff(c_106002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105805,c_105749,c_105749,c_105795,c_105805,c_105749,c_724]) ).
tff(c_106003,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_105748]) ).
tff(c_106008,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106003,c_118]) ).
tff(c_106080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53012,c_105677,c_106008,c_72082]) ).
tff(c_106081,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_106660,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_106086,c_106081]) ).
tff(c_106661,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_106660]) ).
tff(c_106667,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106661,c_110]) ).
tff(c_106172,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106169,c_118]) ).
tff(c_106093,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_106095,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106093,c_158]) ).
tff(c_106164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106095,c_97377,c_104516,c_53010,c_4]) ).
tff(c_106165,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_106683,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106667,c_106172,c_106165]) ).
tff(c_106687,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106683,c_166]) ).
tff(c_106692,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106687,c_97376,c_101467]) ).
tff(c_106698,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106692,c_156]) ).
tff(c_106085,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_148]) ).
tff(c_106664,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106661,c_150]) ).
tff(c_106709,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106698,c_106085,c_106664,c_18]) ).
tff(c_106637,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_97377,c_104516,c_53010,c_4]) ).
tff(c_106583,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_144]) ).
tff(c_106345,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_101468,c_106176,c_53014,c_32]) ).
tff(c_106181,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_106184,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106181,c_160]) ).
tff(c_106330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106184,c_97377,c_104516,c_53010,c_4]) ).
tff(c_106331,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_106333,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_106331]) ).
tff(c_106338,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106333,c_162]) ).
tff(c_106379,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106338,c_106172,c_106165]) ).
tff(c_106383,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106379,c_166]) ).
tff(c_106389,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106383,c_97376,c_101467]) ).
tff(c_106395,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106389,c_156]) ).
tff(c_106336,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106333,c_122]) ).
tff(c_106435,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_106395,c_106085,c_106336,c_18]) ).
tff(c_106340,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106333,c_168]) ).
tff(c_106425,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106345,c_106389,c_84]) ).
tff(c_106426,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_106340,c_196,c_106425]) ).
tff(c_106450,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106345,c_106426,c_106389,c_88]) ).
tff(c_106451,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_106450]) ).
tff(c_106573,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106345,c_106435,c_106435,c_106379,c_106451,c_106451,c_104515,c_106426,c_106426,c_104515,c_53007,c_53007,c_582]) ).
tff(c_106574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_194,c_106573]) ).
tff(c_106575,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_106331]) ).
tff(c_106589,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_106575]) ).
tff(c_106595,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106589,c_162]) ).
tff(c_106612,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106172,c_106595,c_106165]) ).
tff(c_106618,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106612,c_110]) ).
tff(c_106623,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_106618,c_106086,c_106081]) ).
tff(c_106628,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106623,c_154]) ).
tff(c_106597,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106589,c_168]) ).
tff(c_106634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106628,c_106597,c_97376,c_101467]) ).
tff(c_106635,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_106575]) ).
tff(c_106654,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106635,c_168]) ).
tff(c_106719,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_106692,c_84]) ).
tff(c_106720,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_106719]) ).
tff(c_106721,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_106720]) ).
tff(c_106748,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_106721,c_106692,c_88]) ).
tff(c_106749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_106654,c_198,c_106748]) ).
tff(c_106751,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_106720]) ).
tff(c_106778,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_106583,c_97376,c_106751,c_30]) ).
tff(c_106174,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106169,c_120]) ).
tff(c_106666,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106661,c_112]) ).
tff(c_106672,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_97375,c_106174,c_106666,c_14]) ).
tff(c_106676,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106672,c_174]) ).
tff(c_106653,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106635,c_126]) ).
tff(c_106789,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106676,c_97374,c_106653,c_22]) ).
tff(c_106768,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_106169,c_53007,c_90]) ).
tff(c_106769,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_106768]) ).
tff(c_106885,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_106709,c_106709,c_106577,c_106637,c_106637,c_106683,c_106778,c_106778,c_106789,c_106769,c_106769,c_490]) ).
tff(c_106886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_204,c_196,c_106885]) ).
tff(c_106887,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_106660]) ).
tff(c_106891,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106887,c_150]) ).
tff(c_106921,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_106891,c_106085,c_18]) ).
tff(c_106922,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_106921]) ).
tff(c_106926,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106922,c_124]) ).
tff(c_106974,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_106926,c_97374,c_106653,c_22]) ).
tff(c_106892,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106887,c_154]) ).
tff(c_106900,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_106892,c_97376,c_101467]) ).
tff(c_106894,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106887,c_110]) ).
tff(c_106910,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_106172,c_106894,c_106165]) ).
tff(c_107076,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_106922,c_106922,c_106974,c_106900,c_106900,c_104515,c_106974,c_106974,c_106910,c_106169,c_106169,c_576]) ).
tff(c_107077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_198,c_194,c_107076]) ).
tff(c_107078,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_106921]) ).
tff(c_107084,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107078,c_156]) ).
tff(c_106087,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104515,c_152]) ).
tff(c_107106,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_106900,c_88]) ).
tff(c_107107,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_106087,c_107106]) ).
tff(c_107116,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106577,c_107107,c_106900,c_84]) ).
tff(c_107117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_107084,c_107116]) ).
tff(c_107118,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_106168]) ).
tff(c_107123,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107118,c_116]) ).
tff(c_107819,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106086,c_107123,c_106081]) ).
tff(c_107824,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107819,c_110]) ).
tff(c_107132,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97375,c_14]) ).
tff(c_107133,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_107132]) ).
tff(c_107137,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107133,c_178]) ).
tff(c_107135,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107133,c_174]) ).
tff(c_107463,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_97377,c_104516,c_53010,c_4]) ).
tff(c_107468,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107463,c_160]) ).
tff(c_107155,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_97377,c_104516,c_53010,c_4]) ).
tff(c_107161,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107155,c_164]) ).
tff(c_107143,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_97376,c_101467]) ).
tff(c_107144,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_107143]) ).
tff(c_107188,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107144,c_96]) ).
tff(c_107189,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107137,c_107161,c_204,c_107188]) ).
tff(c_107194,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107189,c_192]) ).
tff(c_107125,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107118,c_186]) ).
tff(c_107166,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106086,c_107123,c_106081]) ).
tff(c_107295,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107144,c_107166,c_104515,c_46]) ).
tff(c_107296,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_107295]) ).
tff(c_107215,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107135,c_97374,c_22]) ).
tff(c_107216,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_107215]) ).
tff(c_107160,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107155,c_160]) ).
tff(c_107171,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107166,c_110]) ).
tff(c_107122,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107118,c_118]) ).
tff(c_107176,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_107171,c_107122,c_106165]) ).
tff(c_107180,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107176,c_162]) ).
tff(c_107201,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107160,c_107180,c_20]) ).
tff(c_107202,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_107201]) ).
tff(c_107228,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107144,c_107166,c_104515,c_46]) ).
tff(c_107229,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_107228]) ).
tff(c_107259,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107216,c_107202,c_107229,c_68]) ).
tff(c_107260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53013,c_194,c_196,c_200,c_107259]) ).
tff(c_107261,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_107215]) ).
tff(c_107268,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107261,c_180]) ).
tff(c_107285,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107189,c_107144,c_84]) ).
tff(c_107286,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_107268,c_196,c_107285]) ).
tff(c_107405,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107189,c_107296,c_107296,c_104515,c_107286,c_107286,c_104515,c_107261,c_107261,c_104515,c_53007,c_53007,c_574]) ).
tff(c_107406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_198,c_194,c_107405]) ).
tff(c_107407,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_107201]) ).
tff(c_107413,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107407,c_126]) ).
tff(c_107434,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_107135,c_97374,c_107413,c_22]) ).
tff(c_107438,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107434,c_132]) ).
tff(c_107450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107194,c_107125,c_107438,c_53013,c_24]) ).
tff(c_107451,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_107143]) ).
tff(c_107457,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107451,c_168]) ).
tff(c_107473,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107122,c_106165]) ).
tff(c_107474,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_107473]) ).
tff(c_107478,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107474,c_110]) ).
tff(c_107483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107478,c_106086,c_107123,c_106081]) ).
tff(c_107484,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_107473]) ).
tff(c_107488,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107484,c_162]) ).
tff(c_107594,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_107468,c_107457,c_107488,c_20]) ).
tff(c_107600,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107594,c_126]) ).
tff(c_107607,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_107135,c_97374,c_107600,c_22]) ).
tff(c_107613,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107607,c_180]) ).
tff(c_107646,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107137,c_97376,c_107613,c_30]) ).
tff(c_107507,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_106086,c_107123,c_106081]) ).
tff(c_107512,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107507,c_154]) ).
tff(c_107494,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107451,c_96]) ).
tff(c_107495,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107137,c_204,c_107494]) ).
tff(c_107496,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_107495]) ).
tff(c_107560,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107496,c_107451,c_88]) ).
tff(c_107561,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_106087,c_107560]) ).
tff(c_107570,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107496,c_107561,c_107451,c_84]) ).
tff(c_107571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_107512,c_107570]) ).
tff(c_107572,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_107495]) ).
tff(c_107661,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107646,c_107451,c_107572,c_88]) ).
tff(c_107662,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_107661]) ).
tff(c_107734,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107118,c_107662,c_107662,c_107646,c_107118,c_107662,c_730]) ).
tff(c_107735,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_107132]) ).
tff(c_107737,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_107735]) ).
tff(c_107752,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107737,c_112]) ).
tff(c_107782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107752,c_106086,c_107123,c_106081]) ).
tff(c_107783,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_107735]) ).
tff(c_107790,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107783,c_114]) ).
tff(c_107831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107824,c_107790,c_107122,c_106165]) ).
tff(c_107832,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_53005]) ).
tff(c_107834,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_107832]) ).
tff(c_107840,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_182]) ).
tff(c_107839,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_104]) ).
tff(c_147991,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_2]) ).
tff(c_147992,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_147991]) ).
tff(c_147994,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147992,c_148]) ).
tff(c_107837,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108]) ).
tff(c_132882,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_94]) ).
tff(c_132883,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_132882]) ).
tff(c_132884,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_132883]) ).
tff(c_132889,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_192]) ).
tff(c_118805,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_118829,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_118833,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118829,c_116]) ).
tff(c_118834,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118829,c_120]) ).
tff(c_120033,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_120034,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_120033]) ).
tff(c_120035,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_120034]) ).
tff(c_120038,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120035,c_170]) ).
tff(c_118807,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_132]) ).
tff(c_107848,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_107853,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_172]) ).
tff(c_118606,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_118607,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_118606]) ).
tff(c_118608,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_118607]) ).
tff(c_118614,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118608,c_100]) ).
tff(c_107849,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_132]) ).
tff(c_107841,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_184]) ).
tff(c_107851,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_126]) ).
tff(c_107850,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_124]) ).
tff(c_117786,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107850,c_18]) ).
tff(c_117787,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_117786]) ).
tff(c_117791,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117787,c_122]) ).
tff(c_107838,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_106]) ).
tff(c_116438,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_4]) ).
tff(c_116439,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_116438]) ).
tff(c_107854,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_180]) ).
tff(c_107859,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107854,c_96]) ).
tff(c_107860,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_107859]) ).
tff(c_107866,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_190]) ).
tff(c_107852,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_174]) ).
tff(c_107873,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_72]) ).
tff(c_107874,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_107873]) ).
tff(c_107875,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_107874]) ).
tff(c_107880,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107875,c_186]) ).
tff(c_107879,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107875,c_130]) ).
tff(c_109077,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_107879,c_20]) ).
tff(c_109078,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_109077]) ).
tff(c_109288,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109078,c_122]) ).
tff(c_107878,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107875,c_128]) ).
tff(c_108818,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_6]) ).
tff(c_108819,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_108818]) ).
tff(c_108822,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108819,c_170]) ).
tff(c_109052,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_108822,c_14]) ).
tff(c_109053,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_109052]) ).
tff(c_109059,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109053,c_114]) ).
tff(c_107863,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_142]) ).
tff(c_107887,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_107888,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107887,c_146]) ).
tff(c_108141,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_108142,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_108141]) ).
tff(c_108143,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_108142]) ).
tff(c_108149,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108143,c_100]) ).
tff(c_108355,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_107888,c_107839,c_108149,c_2]) ).
tff(c_107949,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107888,c_107839,c_2]) ).
tff(c_107950,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_107949]) ).
tff(c_728,plain,
( ( op(e3,op(op(e3,e3),e3)) != e1 )
| ( op(e3,e3) != e2 )
| ( op(op(e3,e3),e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_634]) ).
tff(c_108100,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107887,c_107950,c_107950,c_107834,c_107887,c_107950,c_728]) ).
tff(c_108101,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_107949]) ).
tff(c_108105,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108101,c_148]) ).
tff(c_107898,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_107879,c_20]) ).
tff(c_107899,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_107898]) ).
tff(c_108126,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107875,c_107848,c_107899,c_68]) ).
tff(c_108127,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_108105,c_108126]) ).
tff(c_108128,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_107898]) ).
tff(c_107893,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107887,c_110]) ).
tff(c_108134,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108128,c_162]) ).
tff(c_108156,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107893,c_108134,c_12]) ).
tff(c_108157,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_108156]) ).
tff(c_108172,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108157,c_166]) ).
tff(c_108188,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107887,c_38]) ).
tff(c_108189,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_107878,c_202,c_108149,c_108188]) ).
tff(c_108191,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108189,c_134]) ).
tff(c_108135,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108128,c_168]) ).
tff(c_108203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107863,c_108172,c_108191,c_108135,c_28]) ).
tff(c_108204,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_108156]) ).
tff(c_108448,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_107887,c_107887,c_108355,c_108128,c_108128,c_108204,c_108143,c_108143,c_108204,c_107875,c_107875,c_402]) ).
tff(c_108449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_198,c_108448]) ).
tff(c_108451,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_108142]) ).
tff(c_108450,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_108142]) ).
tff(c_108452,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_108450]) ).
tff(c_108635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107887,c_108452,c_108452,c_107834,c_107887,c_108452,c_728]) ).
tff(c_108636,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_108450]) ).
tff(c_108648,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_14]) ).
tff(c_108649,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_108648]) ).
tff(c_108671,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_108649,c_66]) ).
tff(c_108672,plain,
( ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_108671]) ).
tff(c_108673,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_108672]) ).
tff(c_108676,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108673,c_136]) ).
tff(c_108132,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108128,c_122]) ).
tff(c_108685,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107887,c_34]) ).
tff(c_108686,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_108676,c_108132,c_200,c_108685]) ).
tff(c_108723,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108636,c_108686,c_48]) ).
tff(c_108724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_107853,c_202,c_200,c_108723]) ).
tff(c_108725,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_108672]) ).
tff(c_108747,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108725,c_108636,c_48]) ).
tff(c_108748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_107888,c_108747]) ).
tff(c_108749,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_108648]) ).
tff(c_108751,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_108749]) ).
tff(c_108754,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108751,c_170]) ).
tff(c_108764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_108451,c_108754,c_6]) ).
tff(c_108765,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_108749]) ).
tff(c_108788,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108765,c_107887,c_60]) ).
tff(c_108789,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107840,c_198,c_204,c_108788]) ).
tff(c_108794,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108789,c_166]) ).
tff(c_108641,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108636,c_164]) ).
tff(c_108815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107863,c_108794,c_108641,c_108135,c_28]) ).
tff(c_108816,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_108830,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_108816]) ).
tff(c_108836,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108830,c_116]) ).
tff(c_108942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_107880,c_108836,c_16]) ).
tff(c_108943,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_108816]) ).
tff(c_108945,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_108943]) ).
tff(c_108951,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108945,c_112]) ).
tff(c_108998,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107852,c_108951,c_108822,c_14]) ).
tff(c_109002,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108998,c_120]) ).
tff(c_109049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_107880,c_109002,c_16]) ).
tff(c_109050,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_108943]) ).
tff(c_109071,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109050,c_110]) ).
tff(c_109079,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_109059,c_109071,c_12]) ).
tff(c_109080,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_109079]) ).
tff(c_109093,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109080,c_158]) ).
tff(c_107862,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_140]) ).
tff(c_109069,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109050,c_154]) ).
tff(c_109120,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_109053,c_108819,c_66]) ).
tff(c_109121,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_109120]) ).
tff(c_109125,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109121,c_136]) ).
tff(c_109174,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_107862,c_109069,c_109125,c_26]) ).
tff(c_108825,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108819,c_100]) ).
tff(c_109100,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_108825,c_2]) ).
tff(c_109101,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_109100]) ).
tff(c_109230,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109174,c_109101,c_109101,c_108819,c_109174,c_109101,c_738]) ).
tff(c_109231,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_109100]) ).
tff(c_109282,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108819,c_109231,c_48]) ).
tff(c_109283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_109093,c_200,c_109282]) ).
tff(c_109284,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_109079]) ).
tff(c_109299,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109284,c_158]) ).
tff(c_109308,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108819,c_36]) ).
tff(c_109309,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_109299,c_109308]) ).
tff(c_109312,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109309,c_148]) ).
tff(c_109319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107850,c_109288,c_107878,c_109312,c_18]) ).
tff(c_109320,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_109077]) ).
tff(c_109325,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109320,c_160]) ).
tff(c_109326,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109320,c_162]) ).
tff(c_109335,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_109059,c_109071,c_109326,c_12]) ).
tff(c_109339,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109335,c_158]) ).
tff(c_109346,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108819,c_48]) ).
tff(c_109347,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_109339,c_109346]) ).
tff(c_109357,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_108819,c_109347,c_36]) ).
tff(c_109358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_109325,c_200,c_109357]) ).
tff(c_109359,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_109052]) ).
tff(c_109376,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109359,c_120]) ).
tff(c_109491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_107880,c_109376,c_16]) ).
tff(c_109492,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_108818]) ).
tff(c_109622,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_107879,c_20]) ).
tff(c_109623,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_109622]) ).
tff(c_109498,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109492,c_102]) ).
tff(c_109569,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_109498,c_4]) ).
tff(c_109570,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_109569]) ).
tff(c_109585,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109570,c_158]) ).
tff(c_109505,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_108816]) ).
tff(c_109511,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109505,c_116]) ).
tff(c_109565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_107880,c_109511,c_16]) ).
tff(c_109566,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_108816]) ).
tff(c_109568,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_109566]) ).
tff(c_109595,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109568,c_64]) ).
tff(c_109596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107852,c_109585,c_204,c_109595]) ).
tff(c_109597,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_109569]) ).
tff(c_109710,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109623,c_109597,c_50]) ).
tff(c_109711,plain,
( ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_109710]) ).
tff(c_109712,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_109711]) ).
tff(c_109746,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_107880,c_16]) ).
tff(c_109616,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109597,c_164]) ).
tff(c_109655,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_88]) ).
tff(c_109656,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_109616,c_109655]) ).
tff(c_109657,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_109656]) ).
tff(c_109660,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109657,c_136]) ).
tff(c_109602,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109568,c_150]) ).
tff(c_109646,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_107850,c_109602,c_107878,c_18]) ).
tff(c_109633,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_109492,c_109597,c_48]) ).
tff(c_109634,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_109633]) ).
tff(c_109689,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109646,c_109568,c_109634,c_38]) ).
tff(c_109690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109660,c_194,c_198,c_202,c_109689]) ).
tff(c_109692,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_109656]) ).
tff(c_109497,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109492,c_176]) ).
tff(c_109722,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_107854,c_109692,c_109497,c_30]) ).
tff(c_109731,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109722,c_107848,c_109492,c_70]) ).
tff(c_109732,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_109731]) ).
tff(c_109769,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109746,c_109732,c_109568,c_64]) ).
tff(c_109770,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_109769]) ).
tff(c_109838,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109712,c_109770,c_109770,c_109568,c_109712,c_109770,c_762]) ).
tff(c_109840,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_109711]) ).
tff(c_109850,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_107854,c_109692,c_109497,c_30]) ).
tff(c_109691,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_109656]) ).
tff(c_109860,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_109850,c_109691,c_84]) ).
tff(c_109861,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_109840,c_194,c_109860]) ).
tff(c_109862,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_109566]) ).
tff(c_109871,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109862,c_110]) ).
tff(c_109879,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_109871,c_12]) ).
tff(c_109880,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_109879]) ).
tff(c_109877,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_109498,c_4]) ).
tff(c_109878,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_109877]) ).
tff(c_109883,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109878,c_158]) ).
tff(c_109901,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_109880,c_109883]) ).
tff(c_109902,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_109879]) ).
tff(c_109914,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_109902]) ).
tff(c_109917,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109914,c_118]) ).
tff(c_109937,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_107875,c_107834,c_82]) ).
tff(c_109938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_109917,c_196,c_109937]) ).
tff(c_109939,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_109902]) ).
tff(c_109947,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_109939,c_114]) ).
tff(c_109869,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109862,c_112]) ).
tff(c_109496,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109492,c_170]) ).
tff(c_110003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107852,c_109947,c_109869,c_109496,c_14]) ).
tff(c_110004,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_109877]) ).
tff(c_110021,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_109492,c_110004,c_48]) ).
tff(c_110022,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_110021]) ).
tff(c_110207,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107875,c_107848,c_76]) ).
tff(c_110208,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_110207]) ).
tff(c_110209,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_110208]) ).
tff(c_110213,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110209,c_122]) ).
tff(c_110311,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_107850,c_110213,c_107878,c_18]) ).
tff(c_110032,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_109871,c_12]) ).
tff(c_110033,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_110032]) ).
tff(c_110262,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_107880,c_16]) ).
tff(c_496,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_110382,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110022,c_110311,c_110311,c_107860,c_110033,c_110033,c_110022,c_109492,c_109492,c_110022,c_110262,c_110262,c_496]) ).
tff(c_110383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_202,c_110382]) ).
tff(c_110384,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_110208]) ).
tff(c_110389,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110384,c_156]) ).
tff(c_110400,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107854,c_109497,c_30]) ).
tff(c_110401,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_110400]) ).
tff(c_110405,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110401,c_178]) ).
tff(c_110412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107852,c_110405,c_109869,c_109496,c_14]) ).
tff(c_110413,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_110400]) ).
tff(c_110010,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110004,c_164]) ).
tff(c_110043,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107863,c_110010,c_28]) ).
tff(c_110044,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_110043]) ).
tff(c_110048,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110044,c_138]) ).
tff(c_110084,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_107854,c_110048,c_109497,c_30]) ).
tff(c_110118,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110044,c_110033,c_110004,c_50]) ).
tff(c_110119,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_110118]) ).
tff(c_110194,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110084,c_107848,c_107848,c_110119,c_110084,c_107848,c_746]) ).
tff(c_110195,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_110043]) ).
tff(c_110433,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_110413,c_110195,c_92]) ).
tff(c_110434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_110389,c_110433]) ).
tff(c_110435,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_110032]) ).
tff(c_110437,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_110435]) ).
tff(c_110472,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110437,c_109862,c_64]) ).
tff(c_110473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107852,c_200,c_202,c_110472]) ).
tff(c_110474,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_110435]) ).
tff(c_110479,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110474,c_162]) ).
tff(c_110487,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107863,c_110010,c_28]) ).
tff(c_110488,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_110487]) ).
tff(c_110480,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110474,c_166]) ).
tff(c_110499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110488,c_110480]) ).
tff(c_110500,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_110487]) ).
tff(c_110517,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110500,c_168]) ).
tff(c_110524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107851,c_110479,c_107879,c_110517,c_20]) ).
tff(c_110526,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_107874]) ).
tff(c_110525,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_107874]) ).
tff(c_110527,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_110525]) ).
tff(c_110529,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110527,c_148]) ).
tff(c_110538,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107866,c_107852,c_64]) ).
tff(c_110539,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_110538]) ).
tff(c_110545,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110539,c_110]) ).
tff(c_110531,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110527,c_150]) ).
tff(c_110550,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_110531,c_10]) ).
tff(c_110551,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_110550]) ).
tff(c_110552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110545,c_110551]) ).
tff(c_110553,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_110550]) ).
tff(c_110555,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_110553]) ).
tff(c_110558,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110555,c_146]) ).
tff(c_110905,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_107839,c_110529,c_110558,c_2]) ).
tff(c_110774,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_110526,c_24]) ).
tff(c_110828,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110774,c_107848,c_110527,c_76]) ).
tff(c_110829,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_110828]) ).
tff(c_110979,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110905,c_110555,c_110555,c_107848,c_110829,c_110829,c_107860,c_107848,c_107848,c_110905,c_110774,c_110774,c_418]) ).
tff(c_110980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_204,c_204,c_110979]) ).
tff(c_110981,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_110553]) ).
tff(c_110987,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110981,c_154]) ).
tff(c_110533,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110527,c_156]) ).
tff(c_111307,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_107862,c_110987,c_110533,c_26]) ).
tff(c_111311,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111307,c_134]) ).
tff(c_110532,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110527,c_122]) ).
tff(c_110994,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_107834,c_82]) ).
tff(c_110995,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_110994]) ).
tff(c_110996,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_110995]) ).
tff(c_111000,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110996,c_130]) ).
tff(c_111241,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107851,c_110532,c_111000,c_20]) ).
tff(c_111259,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111241,c_110539,c_54]) ).
tff(c_111260,plain,
( ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_111259]) ).
tff(c_111261,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_111260]) ).
tff(c_111265,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111261,c_138]) ).
tff(c_111001,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110996,c_186]) ).
tff(c_111232,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_107866,c_107840,c_111001,c_16]) ).
tff(c_111236,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111232,c_120]) ).
tff(c_110540,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110539,c_158]) ).
tff(c_111006,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_6]) ).
tff(c_111007,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_111006]) ).
tff(c_111030,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_111007,c_36]) ).
tff(c_111031,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_111030]) ).
tff(c_111032,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_111031]) ).
tff(c_111037,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111032,c_98]) ).
tff(c_111067,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_107839,c_110529,c_111037,c_2]) ).
tff(c_111205,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110539,c_110527,c_110527,c_111067,c_111032,c_111032,c_110539,c_111007,c_111007,c_111067,c_110996,c_110996,c_466]) ).
tff(c_111206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_204,c_111205]) ).
tff(c_111207,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_111031]) ).
tff(c_111217,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_111007,c_111207,c_48]) ).
tff(c_111218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_110540,c_200,c_111217]) ).
tff(c_111219,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_111006]) ).
tff(c_111271,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_111219,c_70]) ).
tff(c_111272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111265,c_202,c_111236,c_194,c_111271]) ).
tff(c_111273,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_111260]) ).
tff(c_111316,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111241,c_110539,c_111273,c_50]) ).
tff(c_111317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111311,c_196,c_200,c_194,c_111316]) ).
tff(c_111318,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_110995]) ).
tff(c_111323,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111318,c_186]) ).
tff(c_111340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_110526,c_111323,c_24]) ).
tff(c_111341,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_110538]) ).
tff(c_111344,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111341,c_146]) ).
tff(c_111355,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_111344,c_107839,c_110529,c_2]) ).
tff(c_111360,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111355,c_100]) ).
tff(c_111880,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_111360,c_6]) ).
tff(c_111885,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111880,c_176]) ).
tff(c_111348,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111341,c_110]) ).
tff(c_111370,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_111348,c_12]) ).
tff(c_111371,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_111370]) ).
tff(c_111375,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111371,c_162]) ).
tff(c_111405,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_110526,c_24]) ).
tff(c_111409,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111405,c_130]) ).
tff(c_111448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107851,c_111375,c_110532,c_111409,c_20]) ).
tff(c_111449,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_111370]) ).
tff(c_111451,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_111449]) ).
tff(c_111463,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_111355,c_40]) ).
tff(c_111464,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_111463]) ).
tff(c_111465,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_111464]) ).
tff(c_111655,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111465,c_170]) ).
tff(c_111458,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111451,c_114]) ).
tff(c_111466,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_111458,c_14]) ).
tff(c_111467,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_111466]) ).
tff(c_111481,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111467,c_178]) ).
tff(c_111472,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111465,c_176]) ).
tff(c_111551,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107854,c_111481,c_111472,c_30]) ).
tff(c_111649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_111551,c_107848,c_107848,c_110527,c_111551,c_107848,c_758]) ).
tff(c_111650,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_111466]) ).
tff(c_111689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111655,c_111650]) ).
tff(c_111690,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_111464]) ).
tff(c_111805,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111451,c_111690,c_62]) ).
tff(c_111806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107863,c_107851,c_200,c_202,c_111805]) ).
tff(c_111807,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_111449]) ).
tff(c_111823,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111807,c_62]) ).
tff(c_111824,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_107863,c_107851,c_202,c_111823]) ).
tff(c_111846,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_111824,c_111355,c_40]) ).
tff(c_111847,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_111846]) ).
tff(c_111852,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111847,c_176]) ).
tff(c_111816,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111807,c_166]) ).
tff(c_111835,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107863,c_111816,c_28]) ).
tff(c_111836,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_111835]) ).
tff(c_111866,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_111836,c_88]) ).
tff(c_111867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_111852,c_198,c_110533,c_111866]) ).
tff(c_111868,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_111835]) ).
tff(c_111904,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_111868,c_88]) ).
tff(c_111905,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_111885,c_194,c_110533,c_111904]) ).
tff(c_111906,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_110525]) ).
tff(c_111911,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111906,c_160]) ).
tff(c_111918,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_6]) ).
tff(c_111919,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_111918]) ).
tff(c_111925,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111919,c_100]) ).
tff(c_111922,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111919,c_170]) ).
tff(c_111934,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_111922,c_14]) ).
tff(c_111935,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_111934]) ).
tff(c_111941,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111935,c_114]) ).
tff(c_111912,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111906,c_162]) ).
tff(c_111946,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_111941,c_111912,c_12]) ).
tff(c_111947,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_111946]) ).
tff(c_111953,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_111947,c_110]) ).
tff(c_111938,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111935,c_112]) ).
tff(c_111958,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_111938,c_10]) ).
tff(c_111959,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_111958]) ).
tff(c_111960,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_111953,c_111959]) ).
tff(c_111961,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_111958]) ).
tff(c_111963,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_111961]) ).
tff(c_111966,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_111963,c_146]) ).
tff(c_111996,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_107839,c_111925,c_111966,c_2]) ).
tff(c_112007,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_111919,c_111996,c_36]) ).
tff(c_112008,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_112007]) ).
tff(c_112042,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_110526,c_24]) ).
tff(c_112140,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_111996,c_111996,c_111996,c_112008,c_112008,c_107848,c_111935,c_111935,c_111996,c_112042,c_112042,c_218]) ).
tff(c_112141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_202,c_204,c_112140]) ).
tff(c_112142,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_111961]) ).
tff(c_112150,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112142,c_116]) ).
tff(c_112183,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_107834,c_86]) ).
tff(c_112184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_110526,c_112150,c_198,c_112183]) ).
tff(c_112185,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_111946]) ).
tff(c_111940,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_111935,c_178]) ).
tff(c_111923,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111919,c_176]) ).
tff(c_112197,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107862,c_26]) ).
tff(c_112198,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_112197]) ).
tff(c_112200,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112198,c_134]) ).
tff(c_111913,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111906,c_168]) ).
tff(c_112191,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112185,c_166]) ).
tff(c_112212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107863,c_112200,c_111913,c_112191,c_28]) ).
tff(c_112213,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_112197]) ).
tff(c_112216,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_112213]) ).
tff(c_112220,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112216,c_136]) ).
tff(c_112232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107854,c_111940,c_111923,c_112220,c_30]) ).
tff(c_112233,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_112213]) ).
tff(c_112270,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_111925,c_2]) ).
tff(c_112271,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_112270]) ).
tff(c_112274,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_112271,c_146]) ).
tff(c_112241,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112233,c_154]) ).
tff(c_112192,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112185,c_110]) ).
tff(c_112284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_112274,c_111938,c_112241,c_112192,c_10]) ).
tff(c_112285,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_112270]) ).
tff(c_112249,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_112233,c_84]) ).
tff(c_112250,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_112191,c_194,c_112249]) ).
tff(c_112425,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112185,c_112233,c_112233,c_112185,c_111906,c_111906,c_112285,c_112250,c_112250,c_107848,c_107834,c_107834,c_678]) ).
tff(c_112426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_200,c_200,c_112425]) ).
tff(c_112427,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_111934]) ).
tff(c_112664,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_112427,c_111919,c_74]) ).
tff(c_112665,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_112664]) ).
tff(c_112669,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112665,c_138]) ).
tff(c_111924,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111919,c_102]) ).
tff(c_112440,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_111924,c_4]) ).
tff(c_112441,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_112440]) ).
tff(c_112444,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_112441,c_158]) ).
tff(c_112434,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112427,c_114]) ).
tff(c_112463,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_112444,c_111912,c_112434,c_12]) ).
tff(c_112473,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_88]) ).
tff(c_112474,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_111923,c_111913,c_112473]) ).
tff(c_112627,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_112463,c_112474,c_112474,c_107860,c_112441,c_112441,c_112463,c_111919,c_111919,c_107848,c_107834,c_107834,c_590]) ).
tff(c_112628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_196,c_200,c_112627]) ).
tff(c_112629,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_112440]) ).
tff(c_112635,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112629,c_164]) ).
tff(c_112709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107863,c_112669,c_111913,c_112635,c_28]) ).
tff(c_112710,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_111918]) ).
tff(c_112737,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_112710,c_40]) ).
tff(c_112738,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_111911,c_112737]) ).
tff(c_112743,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112738,c_152]) ).
tff(c_112717,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112710,c_170]) ).
tff(c_112725,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_112717,c_14]) ).
tff(c_112726,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_112725]) ).
tff(c_112729,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112726,c_112]) ).
tff(c_112742,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112738,c_146]) ).
tff(c_112773,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_112729,c_112742,c_10]) ).
tff(c_112774,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_112773]) ).
tff(c_112916,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112774,c_112738,c_112738,c_107834,c_112774,c_112738,c_728]) ).
tff(c_112917,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_112773]) ).
tff(c_112923,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112917,c_154]) ).
tff(c_112963,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_107862,c_112743,c_112923,c_26]) ).
tff(c_112967,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_112963,c_156]) ).
tff(c_111907,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_110525]) ).
tff(c_112922,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_112917,c_150]) ).
tff(c_112988,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107850,c_112967,c_111907,c_112922,c_18]) ).
tff(c_112989,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_112725]) ).
tff(c_112995,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_112989,c_178]) ).
tff(c_113002,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107860,c_88]) ).
tff(c_113003,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_112995,c_111913,c_113002]) ).
tff(c_113007,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113003,c_152]) ).
tff(c_113014,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_112710,c_40]) ).
tff(c_113015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_111911,c_113007,c_113014]) ).
tff(c_113016,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_107859]) ).
tff(c_113018,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_113016]) ).
tff(c_113023,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113018,c_154]) ).
tff(c_114548,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_14]) ).
tff(c_114549,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_114548]) ).
tff(c_114551,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114549,c_112]) ).
tff(c_114554,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114549,c_178]) ).
tff(c_113022,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113018,c_152]) ).
tff(c_114777,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113022,c_107839,c_2]) ).
tff(c_114778,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_114777]) ).
tff(c_114782,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114778,c_146]) ).
tff(c_114555,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114549,c_114]) ).
tff(c_114560,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_114555,c_12]) ).
tff(c_114561,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_114560]) ).
tff(c_114564,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114561,c_118]) ).
tff(c_113017,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_107859]) ).
tff(c_107842,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_188]) ).
tff(c_113029,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113017,c_107842,c_32]) ).
tff(c_113030,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_113029]) ).
tff(c_113035,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_192]) ).
tff(c_113041,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113022,c_107839,c_2]) ).
tff(c_113042,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_113041]) ).
tff(c_113047,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113042,c_100]) ).
tff(c_113053,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_6]) ).
tff(c_113054,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_113053]) ).
tff(c_113055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113047,c_113054]) ).
tff(c_113056,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_113053]) ).
tff(c_113062,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113056,c_176]) ).
tff(c_113406,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113018,c_84]) ).
tff(c_113407,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_113062,c_200,c_113406]) ).
tff(c_113045,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113042,c_148]) ).
tff(c_113080,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107850,c_113045,c_18]) ).
tff(c_113081,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_113080]) ).
tff(c_113068,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_113056,c_113042,c_48]) ).
tff(c_113069,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_113068]) ).
tff(c_113072,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113069,c_158]) ).
tff(c_113061,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113056,c_170]) ).
tff(c_113091,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_113061,c_14]) ).
tff(c_113092,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_113091]) ).
tff(c_113169,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113092,c_178]) ).
tff(c_113019,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113018,c_134]) ).
tff(c_113033,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_142]) ).
tff(c_113093,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_113019,c_113033,c_28]) ).
tff(c_113094,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_113093]) ).
tff(c_113161,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113094,c_113018,c_84]) ).
tff(c_113162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_113062,c_196,c_200,c_113161]) ).
tff(c_113163,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_113093]) ).
tff(c_113203,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113163,c_113018,c_92]) ).
tff(c_113204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_113169,c_196,c_204,c_113203]) ).
tff(c_113205,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_113091]) ).
tff(c_113212,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113205,c_114]) ).
tff(c_113218,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_113072,c_113212,c_12]) ).
tff(c_113219,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_113218]) ).
tff(c_113283,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_113035,c_24]) ).
tff(c_113391,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_113081,c_113081,c_107848,c_113219,c_113219,c_113042,c_113056,c_113056,c_113042,c_113283,c_113283,c_498]) ).
tff(c_113392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_198,c_113391]) ).
tff(c_113393,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_113218]) ).
tff(c_113400,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113393,c_166]) ).
tff(c_113417,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113407,c_113400]) ).
tff(c_113418,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_113080]) ).
tff(c_113422,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113418,c_128]) ).
tff(c_113554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_113035,c_113422,c_24]) ).
tff(c_113555,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_113041]) ).
tff(c_113562,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113555,c_98]) ).
tff(c_113933,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_113562,c_4]) ).
tff(c_113934,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_113933]) ).
tff(c_113937,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113934,c_158]) ).
tff(c_113957,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_20]) ).
tff(c_113958,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_113957]) ).
tff(c_113962,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113958,c_162]) ).
tff(c_113591,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_72]) ).
tff(c_113592,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113035,c_202,c_113591]) ).
tff(c_113593,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_113592]) ).
tff(c_113596,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113593,c_122]) ).
tff(c_113559,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113555,c_148]) ).
tff(c_113604,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_107850,c_113596,c_113559,c_18]) ).
tff(c_113570,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_113023,c_64]) ).
tff(c_113571,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_113570]) ).
tff(c_113584,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113571,c_118]) ).
tff(c_113568,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_14]) ).
tff(c_113569,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_113568]) ).
tff(c_113577,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113569,c_114]) ).
tff(c_113598,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113593,c_162]) ).
tff(c_113614,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_113584,c_113577,c_113598,c_12]) ).
tff(c_113777,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_113604,c_113604,c_113555,c_113614,c_113614,c_107848,c_113569,c_113569,c_107848,c_107834,c_107834,c_502]) ).
tff(c_113778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_202,c_200,c_113777]) ).
tff(c_113780,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_113592]) ).
tff(c_113804,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_113035,c_24]) ).
tff(c_113808,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113804,c_130]) ).
tff(c_113856,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107851,c_113780,c_113808,c_20]) ).
tff(c_113860,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113856,c_168]) ).
tff(c_113576,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113569,c_178]) ).
tff(c_113034,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_144]) ).
tff(c_113813,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107854,c_113576,c_113034,c_30]) ).
tff(c_113869,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113813,c_113018,c_92]) ).
tff(c_113870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_113860,c_204,c_113869]) ).
tff(c_113871,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_113570]) ).
tff(c_113884,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_113871,c_158]) ).
tff(c_113917,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_113555,c_48]) ).
tff(c_113918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_107853,c_113884,c_200,c_113917]) ).
tff(c_113919,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_113568]) ).
tff(c_113921,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_113919]) ).
tff(c_113928,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113921,c_114]) ).
tff(c_113986,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_113937,c_113962,c_113928,c_12]) ).
tff(c_113961,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_113958,c_122]) ).
tff(c_113998,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_107850,c_113961,c_113559,c_18]) ).
tff(c_113968,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_113934,c_113555,c_40]) ).
tff(c_113969,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_113968]) ).
tff(c_113945,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113921,c_64]) ).
tff(c_113946,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_113937,c_113023,c_113945]) ).
tff(c_114018,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113946,c_107834,c_82]) ).
tff(c_114019,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_114018]) ).
tff(c_114128,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113986,c_113998,c_113998,c_113030,c_113934,c_113934,c_113986,c_113969,c_113969,c_113555,c_114019,c_114019,c_466]) ).
tff(c_114129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_194,c_196,c_114128]) ).
tff(c_114130,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_113957]) ).
tff(c_114132,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_114130]) ).
tff(c_114135,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114132,c_130]) ).
tff(c_114158,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113946,c_107834,c_82]) ).
tff(c_114159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_114135,c_200,c_196,c_114158]) ).
tff(c_114160,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_114130]) ).
tff(c_114166,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114160,c_122]) ).
tff(c_114189,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_107850,c_114166,c_113559,c_18]) ).
tff(c_114167,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114160,c_162]) ).
tff(c_114175,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_113937,c_114167,c_113928,c_12]) ).
tff(c_114203,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_113921,c_70]) ).
tff(c_114204,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_113034,c_202,c_194,c_114203]) ).
tff(c_114241,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_113946,c_107834,c_82]) ).
tff(c_114242,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_114241]) ).
tff(c_114338,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_114189,c_114189,c_107848,c_114175,c_114175,c_114175,c_114204,c_114204,c_113555,c_114242,c_114242,c_498]) ).
tff(c_114339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_196,c_196,c_114338]) ).
tff(c_114340,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_113933]) ).
tff(c_114441,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114340,c_160]) ).
tff(c_114364,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_113921,c_64]) ).
tff(c_114365,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_113023,c_114364]) ).
tff(c_114366,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_114365]) ).
tff(c_114370,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_114366,c_118]) ).
tff(c_114342,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_20]) ).
tff(c_114343,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_114342]) ).
tff(c_114349,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_114343,c_168]) ).
tff(c_114388,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_113019,c_114349,c_113033,c_28]) ).
tff(c_114398,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114388,c_114343,c_114340,c_62]) ).
tff(c_114399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_114370,c_202,c_114398]) ).
tff(c_114401,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_114365]) ).
tff(c_113036,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_113030,c_190]) ).
tff(c_113926,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113921,c_120]) ).
tff(c_114423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_114401,c_107840,c_113036,c_113926,c_16]) ).
tff(c_114424,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_114342]) ).
tff(c_114448,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_114441,c_114424]) ).
tff(c_114452,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114448,c_130]) ).
tff(c_114472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_113035,c_114452,c_24]) ).
tff(c_114473,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_113919]) ).
tff(c_114478,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114473,c_170]) ).
tff(c_113561,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_113555,c_100]) ).
tff(c_114534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_114478,c_113561,c_6]) ).
tff(c_114535,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_113029]) ).
tff(c_114761,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_107834,c_94]) ).
tff(c_114762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_107849,c_114564,c_204,c_114761]) ).
tff(c_114763,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_114560]) ).
tff(c_114765,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_114763]) ).
tff(c_114772,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114765,c_110]) ).
tff(c_114812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113023,c_114551,c_114782,c_114772,c_10]) ).
tff(c_114814,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_114777]) ).
tff(c_114815,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_114816,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_114814,c_114815]) ).
tff(c_114817,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_114816]) ).
tff(c_114820,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114817,c_176]) ).
tff(c_114540,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_144]) ).
tff(c_114887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107854,c_114554,c_114820,c_114540,c_30]) ).
tff(c_114889,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_114816]) ).
tff(c_114813,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_114777]) ).
tff(c_114905,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114813,c_100]) ).
tff(c_114924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_114889,c_114905,c_6]) ).
tff(c_114925,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_114763]) ).
tff(c_114933,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114925,c_110]) ).
tff(c_114950,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113022,c_107839,c_2]) ).
tff(c_114951,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_114950]) ).
tff(c_114958,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_114951,c_100]) ).
tff(c_115025,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_114958,c_6]) ).
tff(c_115036,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_114549,c_115025,c_70]) ).
tff(c_115037,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_115036]) ).
tff(c_732,plain,
( ( op(e0,op(op(e0,e0),e0)) != e2 )
| ( op(e0,e0) != e3 )
| ( op(op(e0,e0),e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_115142,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_114535,c_114535,c_115037,c_107834,c_114535,c_732]) ).
tff(c_115143,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_114950]) ).
tff(c_115148,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115143,c_146]) ).
tff(c_115171,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_113023,c_114551,c_114933,c_115148,c_10]) ).
tff(c_115172,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_114548]) ).
tff(c_115174,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_115172]) ).
tff(c_115210,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115174,c_64]) ).
tff(c_115211,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_113023,c_115210]) ).
tff(c_115212,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_115211]) ).
tff(c_115215,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115212,c_118]) ).
tff(c_114539,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_142]) ).
tff(c_115261,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_113019,c_114539,c_28]) ).
tff(c_115262,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_115261]) ).
tff(c_115265,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115262,c_138]) ).
tff(c_115186,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_115187,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_115186]) ).
tff(c_115188,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_115187]) ).
tff(c_115192,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115188,c_176]) ).
tff(c_115276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107854,c_115265,c_115192,c_114540,c_30]) ).
tff(c_115277,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_115261]) ).
tff(c_115290,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115277,c_166]) ).
tff(c_115181,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115174,c_114]) ).
tff(c_115317,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_115215,c_115290,c_115181,c_12]) ).
tff(c_115235,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_72]) ).
tff(c_115236,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_115235]) ).
tff(c_115237,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_115236]) ).
tff(c_115241,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115237,c_128]) ).
tff(c_115194,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115188,c_100]) ).
tff(c_115199,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_113022,c_107839,c_115194,c_2]) ).
tff(c_115203,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115199,c_148]) ).
tff(c_115251,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_107850,c_115241,c_115203,c_18]) ).
tff(c_115255,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115251,c_150]) ).
tff(c_115177,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115174,c_112]) ).
tff(c_115300,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_113023,c_115255,c_115177,c_10]) ).
tff(c_115431,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115317,c_115300,c_115300,c_115317,c_115277,c_115277,c_115199,c_115174,c_115174,c_114535,c_115212,c_115212,c_440]) ).
tff(c_115432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_194,c_115431]) ).
tff(c_115434,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_115236]) ).
tff(c_114541,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_192]) ).
tff(c_115457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_115434,c_114541,c_24]) ).
tff(c_115459,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_115211]) ).
tff(c_115515,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_107834,c_94]) ).
tff(c_115516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_107849,c_115459,c_204,c_115515]) ).
tff(c_115518,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_115187]) ).
tff(c_115593,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_115174,c_70]) ).
tff(c_115594,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_115518,c_115593]) ).
tff(c_115637,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115594,c_107848,c_115174,c_74]) ).
tff(c_115638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_107837,c_115637]) ).
tff(c_115639,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_115172]) ).
tff(c_115646,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115639,c_178]) ).
tff(c_115644,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115639,c_170]) ).
tff(c_115652,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_72]) ).
tff(c_115653,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_115652]) ).
tff(c_115654,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_115653]) ).
tff(c_115659,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115654,c_130]) ).
tff(c_115666,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_115659,c_20]) ).
tff(c_115667,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_115666]) ).
tff(c_115672,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115667,c_162]) ).
tff(c_115647,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115639,c_114]) ).
tff(c_115688,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_115672,c_115647,c_12]) ).
tff(c_115689,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_115688]) ).
tff(c_115703,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115689,c_158]) ).
tff(c_115670,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115667,c_122]) ).
tff(c_115658,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115654,c_128]) ).
tff(c_115678,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_107850,c_115670,c_115658,c_18]) ).
tff(c_115682,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115678,c_148]) ).
tff(c_115710,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_113022,c_107839,c_115682,c_2]) ).
tff(c_115722,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_115710,c_48]) ).
tff(c_115723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_107853,c_115703,c_202,c_115722]) ).
tff(c_115724,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_115688]) ).
tff(c_115728,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115724,c_158]) ).
tff(c_115747,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_115728,c_4]) ).
tff(c_115748,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_115747]) ).
tff(c_115770,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_115748,c_40]) ).
tff(c_115771,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_115644,c_202,c_115770]) ).
tff(c_115673,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_115667,c_168]) ).
tff(c_115780,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_113019,c_115673,c_114539,c_28]) ).
tff(c_115903,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115771,c_115678,c_115678,c_115724,c_115780,c_115780,c_114535,c_107848,c_107848,c_115724,c_115654,c_115654,c_578]) ).
tff(c_115904,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_196,c_196,c_115903]) ).
tff(c_115905,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_115747]) ).
tff(c_115923,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_115905,c_48]) ).
tff(c_115924,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_107853,c_202,c_113022,c_115923]) ).
tff(c_115925,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_115666]) ).
tff(c_115930,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115925,c_160]) ).
tff(c_115948,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_115930,c_4]) ).
tff(c_115949,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_115948]) ).
tff(c_115952,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_115949,c_158]) ).
tff(c_115931,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_115925,c_162]) ).
tff(c_115995,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_115952,c_115647,c_115931,c_12]) ).
tff(c_116019,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_115644,c_6]) ).
tff(c_116038,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_116019,c_115949,c_40]) ).
tff(c_116039,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_116038]) ).
tff(c_115660,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115654,c_186]) ).
tff(c_114542,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_190]) ).
tff(c_115938,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107840,c_115660,c_114542,c_16]) ).
tff(c_240,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_116149,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_115995,c_116039,c_116039,c_107848,c_115995,c_115995,c_116039,c_116019,c_116019,c_114535,c_115938,c_115938,c_240]) ).
tff(c_116150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_194,c_194,c_116149]) ).
tff(c_116151,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_115948]) ).
tff(c_116166,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116151,c_164]) ).
tff(c_116207,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_113018,c_88]) ).
tff(c_116208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_115646,c_116166,c_202,c_116207]) ).
tff(c_116210,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_115653]) ).
tff(c_115645,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_115639,c_120]) ).
tff(c_116415,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107840,c_115645,c_114542,c_16]) ).
tff(c_116424,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_114535,c_116415,c_107834,c_86]) ).
tff(c_116425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_116210,c_202,c_198,c_116424]) ).
tff(c_116426,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_113016]) ).
tff(c_116433,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116426,c_164]) ).
tff(c_116450,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116439,c_116433]) ).
tff(c_116451,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_116438]) ).
tff(c_116465,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_116451]) ).
tff(c_116453,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_2]) ).
tff(c_116454,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_116453]) ).
tff(c_116486,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_116465,c_116454,c_40]) ).
tff(c_116487,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_116486]) ).
tff(c_116492,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116487,c_176]) ).
tff(c_116457,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116454,c_146]) ).
tff(c_116427,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_113016]) ).
tff(c_116514,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_113017,c_107842,c_32]) ).
tff(c_116515,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_116514]) ).
tff(c_116520,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116515,c_140]) ).
tff(c_116469,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116465,c_160]) ).
tff(c_116499,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_116469,c_20]) ).
tff(c_116500,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_116499]) ).
tff(c_116504,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116500,c_122]) ).
tff(c_116669,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_116500,c_68]) ).
tff(c_116670,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_116669]) ).
tff(c_116671,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_116670]) ).
tff(c_116675,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116671,c_128]) ).
tff(c_116680,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_107850,c_116504,c_116675,c_18]) ).
tff(c_116684,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116680,c_150]) ).
tff(c_116491,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116487,c_170]) ).
tff(c_116529,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_116491,c_14]) ).
tff(c_116530,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_116529]) ).
tff(c_116540,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_116530,c_116487,c_66]) ).
tff(c_116541,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_116540]) ).
tff(c_116545,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116541,c_136]) ).
tff(c_116584,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_116427,c_116520,c_116545,c_26]) ).
tff(c_116650,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_116584,c_116454,c_116454,c_116487,c_116584,c_116454,c_738]) ).
tff(c_116651,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_116529]) ).
tff(c_116655,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116651,c_112]) ).
tff(c_116724,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_116457,c_116684,c_116655,c_10]) ).
tff(c_116431,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_116426,c_166]) ).
tff(c_116505,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116500,c_162]) ).
tff(c_116468,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116465,c_158]) ).
tff(c_116760,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_116431,c_116505,c_116468,c_12]) ).
tff(c_116824,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_116724,c_116724,c_107848,c_116500,c_116500,c_116760,c_116487,c_116487,c_116454,c_116671,c_116671,c_402]) ).
tff(c_116825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_204,c_116824]) ).
tff(c_116826,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_116670]) ).
tff(c_116832,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116826,c_156]) ).
tff(c_116850,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_116427,c_116520,c_116832,c_26]) ).
tff(c_116855,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_116850,c_154]) ).
tff(c_116837,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_116431,c_116505,c_116468,c_12]) ).
tff(c_116841,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116837,c_110]) ).
tff(c_116860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116457,c_116855,c_116841,c_116655,c_10]) ).
tff(c_116861,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_116514]) ).
tff(c_116875,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116454,c_38]) ).
tff(c_116876,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_116875]) ).
tff(c_116877,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_116876]) ).
tff(c_116881,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_116877,c_154]) ).
tff(c_116868,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116861,c_144]) ).
tff(c_116901,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_116487,c_66]) ).
tff(c_116902,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_116868,c_200,c_194,c_116901]) ).
tff(c_116905,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116902,c_112]) ).
tff(c_116916,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_116457,c_116881,c_116905,c_10]) ).
tff(c_406,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_117038,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_116916,c_116916,c_107848,c_116500,c_116500,c_116454,c_116902,c_116902,c_107848,c_107834,c_107834,c_406]) ).
tff(c_117039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_200,c_117038]) ).
tff(c_117041,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_116876]) ).
tff(c_116867,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_116861,c_140]) ).
tff(c_117067,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_116427,c_117041,c_116867,c_26]) ).
tff(c_117083,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116861,c_116426,c_117067,c_88]) ).
tff(c_117084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_116492,c_202,c_198,c_117083]) ).
tff(c_117085,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_116499]) ).
tff(c_117089,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117085,c_130]) ).
tff(c_116475,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107852,c_116431,c_116457,c_64]) ).
tff(c_117145,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116475,c_107834,c_86]) ).
tff(c_117146,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_117089,c_202,c_198,c_117145]) ).
tff(c_117091,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117085,c_162]) ).
tff(c_117184,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_116431,c_117091,c_116468,c_12]) ).
tff(c_117129,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116475,c_107834,c_82]) ).
tff(c_117130,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_117129]) ).
tff(c_117131,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_117130]) ).
tff(c_117134,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117131,c_140]) ).
tff(c_117090,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117085,c_122]) ).
tff(c_117101,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107850,c_117090,c_18]) ).
tff(c_117102,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_117101]) ).
tff(c_117106,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117102,c_150]) ).
tff(c_117118,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_116457,c_117106,c_10]) ).
tff(c_117119,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_117118]) ).
tff(c_117141,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117102,c_117119,c_116454,c_34]) ).
tff(c_117142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117134,c_196,c_194,c_200,c_117141]) ).
tff(c_117143,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_117130]) ).
tff(c_117291,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117146,c_116454,c_116454,c_116454,c_116465,c_116465,c_117184,c_116487,c_116487,c_116454,c_117143,c_117143,c_210]) ).
tff(c_117292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_204,c_117291]) ).
tff(c_117293,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_117118]) ).
tff(c_117298,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117293,c_112]) ).
tff(c_117331,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_107852,c_116491,c_117298,c_14]) ).
tff(c_117336,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117331,c_114]) ).
tff(c_117343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116431,c_117336,c_117091,c_116468,c_12]) ).
tff(c_117344,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_117101]) ).
tff(c_117348,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117344,c_128]) ).
tff(c_117371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_117089,c_117348,c_24]) ).
tff(c_117372,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_116451]) ).
tff(c_117377,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117372,c_160]) ).
tff(c_117790,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117787,c_150]) ).
tff(c_117378,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117372,c_102]) ).
tff(c_117384,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107852,c_14]) ).
tff(c_117385,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_117384]) ).
tff(c_117391,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117385,c_114]) ).
tff(c_117376,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117372,c_158]) ).
tff(c_117387,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117385,c_112]) ).
tff(c_117396,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_117377,c_20]) ).
tff(c_117397,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_117396]) ).
tff(c_117401,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_117397,c_122]) ).
tff(c_117407,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107850,c_18]) ).
tff(c_117408,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_117407]) ).
tff(c_117409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_117401,c_117408]) ).
tff(c_117410,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_117407]) ).
tff(c_117412,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_117410]) ).
tff(c_117415,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117412,c_128]) ).
tff(c_117452,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_117415,c_24]) ).
tff(c_117456,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117452,c_192]) ).
tff(c_117504,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_113017,c_107842,c_117456,c_32]) ).
tff(c_117422,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_117378,c_6]) ).
tff(c_117474,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_117385,c_117422,c_70]) ).
tff(c_117475,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_117474]) ).
tff(c_117563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_117504,c_117504,c_117475,c_107834,c_117504,c_732]) ).
tff(c_117564,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_117410]) ).
tff(c_117570,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117564,c_150]) ).
tff(c_117604,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_116457,c_117387,c_117570,c_10]) ).
tff(c_117609,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117604,c_110]) ).
tff(c_117643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116431,c_117391,c_117376,c_117609,c_12]) ).
tff(c_117644,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_117396]) ).
tff(c_117727,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116426,c_117644,c_117372,c_58]) ).
tff(c_117728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_117391,c_198,c_117727]) ).
tff(c_117729,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_117384]) ).
tff(c_117733,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_117729]) ).
tff(c_117737,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117733,c_170]) ).
tff(c_117771,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_117378,c_117737,c_6]) ).
tff(c_117772,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_117729]) ).
tff(c_117776,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117772,c_112]) ).
tff(c_117835,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_107851,c_117791,c_117377,c_20]) ).
tff(c_117840,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_117835,c_162]) ).
tff(c_117871,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_116431,c_117376,c_117840,c_12]) ).
tff(c_117797,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_82]) ).
tff(c_117798,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_117797]) ).
tff(c_117799,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_117798]) ).
tff(c_117810,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_117799,c_107834,c_94]) ).
tff(c_117811,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_107849,c_204,c_117810]) ).
tff(c_480,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_117993,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_117787,c_117787,c_117871,c_117372,c_117372,c_117799,c_107848,c_107848,c_117799,c_117811,c_117811,c_480]) ).
tff(c_117994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196,c_194,c_117993]) ).
tff(c_117995,plain,
( ( op(e1,e0) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_117798]) ).
tff(c_118011,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_117995]) ).
tff(c_118015,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118011,c_116]) ).
tff(c_118043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_116457,c_117790,c_117776,c_118015,c_10]) ).
tff(c_118044,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_117995]) ).
tff(c_118049,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118044,c_130]) ).
tff(c_118055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107851,c_117791,c_117377,c_118049,c_20]) ).
tff(c_118056,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_117786]) ).
tff(c_118058,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_118056]) ).
tff(c_118263,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118058,c_150]) ).
tff(c_118059,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_116457,c_117776,c_10]) ).
tff(c_118060,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_118059]) ).
tff(c_118075,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118060,c_110]) ).
tff(c_118150,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_116431,c_118075,c_117376,c_12]) ).
tff(c_117779,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_117772,c_178]) ).
tff(c_118063,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118058,c_128]) ).
tff(c_118091,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_94]) ).
tff(c_118092,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_113017,c_107849,c_204,c_118091]) ).
tff(c_118104,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118092,c_107834,c_82]) ).
tff(c_118105,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_118063,c_200,c_196,c_118104]) ).
tff(c_118134,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118105,c_116426,c_88]) ).
tff(c_118135,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_117779,c_202,c_118134]) ).
tff(c_118125,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_117378,c_6]) ).
tff(c_118115,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_118063,c_24]) ).
tff(c_118256,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118150,c_118135,c_118135,c_118105,c_116426,c_116426,c_116454,c_118125,c_118125,c_118150,c_118115,c_118115,c_690]) ).
tff(c_118257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_200,c_196,c_118256]) ).
tff(c_118258,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_118059]) ).
tff(c_118270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118263,c_118258]) ).
tff(c_118271,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_118056]) ).
tff(c_118277,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118271,c_128]) ).
tff(c_118310,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_116426,c_84]) ).
tff(c_118311,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_118310]) ).
tff(c_118312,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_118311]) ).
tff(c_118317,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118312,c_192]) ).
tff(c_118335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_118277,c_118317,c_24]) ).
tff(c_118336,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_118311]) ).
tff(c_118362,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_118336]) ).
tff(c_118376,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118362,c_154]) ).
tff(c_118402,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_116457,c_117776,c_118376,c_10]) ).
tff(c_118286,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107851,c_117377,c_20]) ).
tff(c_118287,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_118286]) ).
tff(c_118291,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118287,c_162]) ).
tff(c_118363,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_116431,c_118291,c_117376,c_12]) ).
tff(c_118337,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_118311]) ).
tff(c_118410,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_113017,c_107842,c_118337,c_32]) ).
tff(c_118528,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107848,c_118402,c_118402,c_107848,c_118287,c_118287,c_118363,c_117772,c_117772,c_118363,c_118410,c_118410,c_412]) ).
tff(c_118529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_200,c_118528]) ).
tff(c_118530,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_118336]) ).
tff(c_118538,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118530,c_176]) ).
tff(c_118553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_117378,c_118538,c_6]) ).
tff(c_118554,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_118286]) ).
tff(c_118558,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118554,c_130]) ).
tff(c_118603,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107849,c_107841,c_118277,c_118558,c_24]) ).
tff(c_118604,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_116453]) ).
tff(c_118619,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_118614,c_118604]) ).
tff(c_118626,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118619,c_98]) ).
tff(c_118613,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118608,c_102]) ).
tff(c_118633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118626,c_118613,c_116451]) ).
tff(c_118635,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_118607]) ).
tff(c_118636,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_118604]) ).
tff(c_118642,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118636,c_100]) ).
tff(c_118726,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_118635,c_118642,c_6]) ).
tff(c_118727,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_118604]) ).
tff(c_118735,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118727,c_98]) ).
tff(c_118743,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_118735,c_116451]) ).
tff(c_118749,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118743,c_102]) ).
tff(c_118802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107853,c_107837,c_118635,c_118749,c_6]) ).
tff(c_118803,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_118816,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_118807,c_118803]) ).
tff(c_118817,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_118816]) ).
tff(c_118822,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118817,c_174]) ).
tff(c_120057,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_118834,c_120038,c_118822,c_14]) ).
tff(c_120061,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120057,c_112]) ).
tff(c_120102,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118829,c_107834,c_82]) ).
tff(c_120103,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_120102]) ).
tff(c_118835,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118829,c_190]) ).
tff(c_118811,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_192]) ).
tff(c_118824,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118817,c_180]) ).
tff(c_118809,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_130]) ).
tff(c_118821,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118817,c_126]) ).
tff(c_118842,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_118809,c_118821,c_20]) ).
tff(c_118843,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_118842]) ).
tff(c_118849,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118843,c_168]) ).
tff(c_118965,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_118966,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_118965]) ).
tff(c_118967,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_118966]) ).
tff(c_119244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_118967,c_118817,c_118817,c_118843,c_118967,c_118817,c_748]) ).
tff(c_119246,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_118966]) ).
tff(c_118823,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118817,c_172]) ).
tff(c_119645,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_119246,c_118823,c_6]) ).
tff(c_119651,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119645,c_100]) ).
tff(c_118847,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118843,c_160]) ).
tff(c_119245,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_118966]) ).
tff(c_119258,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_119245]) ).
tff(c_119280,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_119258,c_48]) ).
tff(c_119281,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_118847,c_202,c_119280]) ).
tff(c_119630,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_119281,c_118817,c_118817,c_118805,c_119281,c_118817,c_720]) ).
tff(c_119632,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_119245]) ).
tff(c_118846,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118843,c_122]) ).
tff(c_118854,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_118833,c_10]) ).
tff(c_118855,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_118854]) ).
tff(c_118858,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_118855,c_150]) ).
tff(c_118808,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_128]) ).
tff(c_118820,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118817,c_124]) ).
tff(c_118961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118846,c_118858,c_118808,c_118820,c_18]) ).
tff(c_118962,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_118854]) ).
tff(c_118964,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_118962]) ).
tff(c_119249,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_118964,c_146]) ).
tff(c_119686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119651,c_107839,c_119632,c_119249,c_2]) ).
tff(c_119687,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_118962]) ).
tff(c_119692,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119687,c_146]) ).
tff(c_119701,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_119702,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_118847,c_119701]) ).
tff(c_119703,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_119702]) ).
tff(c_119716,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_119703,c_40]) ).
tff(c_119717,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_119692,c_119716]) ).
tff(c_119721,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119717,c_164]) ).
tff(c_119733,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_118849,c_119721,c_28]) ).
tff(c_119734,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_119733]) ).
tff(c_119759,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119734,c_84]) ).
tff(c_119760,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_118824,c_196,c_119759]) ).
tff(c_119761,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_119760]) ).
tff(c_119695,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119687,c_112]) ).
tff(c_119747,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_118834,c_119695,c_118822,c_14]) ).
tff(c_119773,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118817,c_119747,c_119703,c_70]) ).
tff(c_119774,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_119773]) ).
tff(c_119869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_119761,c_119761,c_119774,c_107834,c_119761,c_732]) ).
tff(c_119871,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_119760]) ).
tff(c_119884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118835,c_107842,c_118811,c_119871,c_32]) ).
tff(c_119885,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_119702]) ).
tff(c_119890,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_119885,c_152]) ).
tff(c_119897,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_119885,c_40]) ).
tff(c_119898,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_119897]) ).
tff(c_119899,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_119898]) ).
tff(c_119904,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119899,c_176]) ).
tff(c_119694,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_119687,c_154]) ).
tff(c_119935,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_118811,c_119904,c_119694,c_88]) ).
tff(c_119948,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119935,c_96]) ).
tff(c_119949,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_118835,c_202,c_119890,c_119948]) ).
tff(c_119971,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119949,c_119935,c_84]) ).
tff(c_119972,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_119971]) ).
tff(c_119973,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_119972]) ).
tff(c_119979,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_119973,c_140]) ).
tff(c_119926,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_118846,c_118808,c_118820,c_18]) ).
tff(c_119992,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_119926,c_119687,c_119885,c_34]) ).
tff(c_119993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119979,c_196,c_194,c_200,c_119992]) ).
tff(c_119995,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_119972]) ).
tff(c_120006,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118829,c_107834,c_82]) ).
tff(c_120007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_119995,c_194,c_200,c_196,c_120006]) ).
tff(c_120008,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_118842]) ).
tff(c_120021,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118817,c_120008,c_80]) ).
tff(c_120022,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_120021]) ).
tff(c_120026,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_120022,c_148]) ).
tff(c_120041,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120035,c_100]) ).
tff(c_120046,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_120026,c_107839,c_120041,c_2]) ).
tff(c_118832,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_118829,c_118]) ).
tff(c_120014,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120008,c_162]) ).
tff(c_120062,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_120057,c_178]) ).
tff(c_120039,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120035,c_176]) ).
tff(c_120072,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_120062,c_120039,c_118824,c_30]) ).
tff(c_120083,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120072,c_88]) ).
tff(c_120084,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_118811,c_202,c_120083]) ).
tff(c_120085,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_120084]) ).
tff(c_120090,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120085,c_166]) ).
tff(c_120140,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_118832,c_120014,c_120090,c_12]) ).
tff(c_120238,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_120103,c_120022,c_120022,c_120046,c_120140,c_120140,c_118817,c_120057,c_120057,c_120103,c_118829,c_118829,c_504]) ).
tff(c_120239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_194,c_194,c_120238]) ).
tff(c_120240,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_120084]) ).
tff(c_120246,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_120240,c_154]) ).
tff(c_120050,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_120046,c_146]) ).
tff(c_120300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118833,c_120061,c_120246,c_120050,c_10]) ).
tff(c_120302,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_120034]) ).
tff(c_120898,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_120302,c_118823,c_6]) ).
tff(c_121069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120898,c_118817,c_118817,c_118805,c_120898,c_118817,c_720]) ).
tff(c_121071,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_121070,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_121084,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_121070]) ).
tff(c_121579,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121084,c_150]) ).
tff(c_121072,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_118811,c_32]) ).
tff(c_121073,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_121072]) ).
tff(c_121079,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_190]) ).
tff(c_118810,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_186]) ).
tff(c_121085,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_118809,c_118821,c_20]) ).
tff(c_121086,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_121085]) ).
tff(c_121092,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121084,c_110]) ).
tff(c_121088,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121084,c_150]) ).
tff(c_121090,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121084,c_112]) ).
tff(c_121107,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_121090,c_118822,c_14]) ).
tff(c_121108,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_121107]) ).
tff(c_121113,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121108,c_178]) ).
tff(c_121119,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_92]) ).
tff(c_121120,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_121113,c_121119]) ).
tff(c_121121,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_121120]) ).
tff(c_121143,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_121121,c_88]) ).
tff(c_121144,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_121143]) ).
tff(c_121145,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_121144]) ).
tff(c_121150,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121145,c_176]) ).
tff(c_121236,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_121150,c_118823,c_6]) ).
tff(c_121296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121236,c_118817,c_118817,c_118805,c_121236,c_118817,c_720]) ).
tff(c_121297,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_121144]) ).
tff(c_121312,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_121121,c_121297,c_84]) ).
tff(c_121313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_118824,c_196,c_194,c_121312]) ).
tff(c_121314,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_121120]) ).
tff(c_121320,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121314,c_156]) ).
tff(c_121331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121088,c_121320,c_118808,c_118820,c_18]) ).
tff(c_121332,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_121107]) ).
tff(c_121339,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121332,c_114]) ).
tff(c_121364,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_121092,c_121339,c_12]) ).
tff(c_121365,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_121364]) ).
tff(c_121457,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_121079,c_107840,c_118810,c_16]) ).
tff(c_121550,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121086,c_121365,c_121365,c_121457,c_121086,c_121365,c_722]) ).
tff(c_121551,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_121364]) ).
tff(c_121557,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121551,c_118]) ).
tff(c_121575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121079,c_107840,c_118810,c_121557,c_16]) ).
tff(c_121576,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_121085]) ).
tff(c_121648,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118817,c_121576,c_80]) ).
tff(c_121649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_121579,c_121648]) ).
tff(c_121650,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_121070]) ).
tff(c_121652,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_121650]) ).
tff(c_121655,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121652,c_170]) ).
tff(c_122249,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_121655,c_107837,c_118823,c_6]) ).
tff(c_121663,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_121664,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_121655,c_121663]) ).
tff(c_121665,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_121664]) ).
tff(c_121668,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121665,c_160]) ).
tff(c_122150,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_121655,c_107837,c_118823,c_6]) ).
tff(c_122173,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_122150,c_121665,c_36]) ).
tff(c_122174,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_122173]) ).
tff(c_122178,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122174,c_152]) ).
tff(c_121078,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_144]) ).
tff(c_121676,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_118808,c_118820,c_18]) ).
tff(c_121677,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_121676]) ).
tff(c_121671,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121665,c_98]) ).
tff(c_121748,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_121655,c_107837,c_118823,c_6]) ).
tff(c_121077,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_142]) ).
tff(c_121703,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_121668,c_118809,c_118821,c_20]) ).
tff(c_121708,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121703,c_168]) ).
tff(c_121658,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_121652,c_114]) ).
tff(c_121651,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_121070]) ).
tff(c_121692,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_121651,c_10]) ).
tff(c_121693,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_121692]) ).
tff(c_121698,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_121693,c_110]) ).
tff(c_121715,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_121658,c_121698,c_12]) ).
tff(c_121716,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_121715]) ).
tff(c_121720,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121716,c_166]) ).
tff(c_121727,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_121077,c_121708,c_121720,c_28]) ).
tff(c_121737,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_121727,c_88]) ).
tff(c_121738,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_121737]) ).
tff(c_121739,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_121738]) ).
tff(c_121743,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121739,c_176]) ).
tff(c_121758,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_121748,c_121743]) ).
tff(c_121759,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_121738]) ).
tff(c_121765,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121759,c_152]) ).
tff(c_121792,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_121671,c_107839,c_121765,c_2]) ).
tff(c_570,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_121894,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_121677,c_121677,c_121792,c_121727,c_121727,c_121073,c_121652,c_121652,c_121716,c_118805,c_118805,c_570]) ).
tff(c_121895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_198,c_121894]) ).
tff(c_121896,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_121715]) ).
tff(c_121901,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121896,c_118]) ).
tff(c_121940,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_118805,c_107834,c_82]) ).
tff(c_121941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_121901,c_196,c_121940]) ).
tff(c_121942,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_121692]) ).
tff(c_122007,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_121942]) ).
tff(c_122014,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122007,c_116]) ).
tff(c_122032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_121079,c_107840,c_118810,c_122014,c_16]) ).
tff(c_122033,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_121942]) ).
tff(c_122043,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122033,c_110]) ).
tff(c_121955,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_121942]) ).
tff(c_121960,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_121955,c_116]) ).
tff(c_121968,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_118805,c_107834,c_82]) ).
tff(c_121969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_121960,c_196,c_121968]) ).
tff(c_121970,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_121942]) ).
tff(c_121978,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_121970,c_110]) ).
tff(c_121944,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_121077,c_28]) ).
tff(c_121945,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_121944]) ).
tff(c_121992,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121945,c_121665,c_54]) ).
tff(c_121993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_118809,c_121978,c_202,c_121992]) ).
tff(c_121994,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_121944]) ).
tff(c_121996,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_121994]) ).
tff(c_122052,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121996,c_121665,c_54]) ).
tff(c_122053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_118809,c_122043,c_202,c_122052]) ).
tff(c_122054,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_121994]) ).
tff(c_122059,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_122054,c_138]) ).
tff(c_122164,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_121078,c_122059,c_118824,c_30]) ).
tff(c_122185,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_121073,c_122164,c_122054,c_84]) ).
tff(c_122186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_122178,c_122185]) ).
tff(c_122187,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_121676]) ).
tff(c_122224,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118817,c_122187,c_80]) ).
tff(c_122225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_121668,c_204,c_122224]) ).
tff(c_122226,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_121664]) ).
tff(c_122229,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122226,c_148]) ).
tff(c_122238,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_122229,c_118808,c_118820,c_18]) ).
tff(c_122288,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118817,c_122238,c_80]) ).
tff(c_122289,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_122288]) ).
tff(c_122438,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_122249,c_118817,c_118817,c_122289,c_122249,c_118817,c_748]) ).
tff(c_122439,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_121650]) ).
tff(c_122443,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122439,c_162]) ).
tff(c_122453,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_122443,c_118809,c_118821,c_20]) ).
tff(c_122847,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_118817,c_122453,c_80]) ).
tff(c_122848,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_122847]) ).
tff(c_122441,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122439,c_158]) ).
tff(c_122464,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_122465,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_122441,c_122464]) ).
tff(c_122466,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_122465]) ).
tff(c_122834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_122466,c_118817,c_118817,c_118805,c_122466,c_118817,c_720]) ).
tff(c_122835,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_122465]) ).
tff(c_122838,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122835,c_148]) ).
tff(c_122859,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_122848,c_122838]) ).
tff(c_122860,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_121072]) ).
tff(c_122946,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122860,c_118805,c_107834,c_94]) ).
tff(c_122947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_121071,c_204,c_122946]) ).
tff(c_122948,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_118816]) ).
tff(c_122953,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_126]) ).
tff(c_125181,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_122953,c_118809,c_20]) ).
tff(c_125182,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_125181]) ).
tff(c_125187,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125182,c_162]) ).
tff(c_122962,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_122963,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122962,c_112]) ).
tff(c_122967,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122962,c_114]) ).
tff(c_122965,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122962,c_120]) ).
tff(c_122976,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_122965,c_107840,c_118810,c_16]) ).
tff(c_122980,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122976,c_118]) ).
tff(c_123300,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_122967,c_122980,c_12]) ).
tff(c_123301,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_123300]) ).
tff(c_123305,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123301,c_110]) ).
tff(c_122997,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122976,c_107834,c_94]) ).
tff(c_122998,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_122997]) ).
tff(c_123002,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122998,c_140]) ).
tff(c_122964,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122962,c_170]) ).
tff(c_122973,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_122974,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_122964,c_122973]) ).
tff(c_122975,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_122974]) ).
tff(c_123009,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_122975,c_40]) ).
tff(c_123010,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_123009]) ).
tff(c_123011,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_123010]) ).
tff(c_123014,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123011,c_176]) ).
tff(c_123135,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122998,c_88]) ).
tff(c_123136,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_123014,c_123135]) ).
tff(c_123137,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_123136]) ).
tff(c_123140,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123137,c_134]) ).
tff(c_122981,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_122976,c_116]) ).
tff(c_122989,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_122975,c_160]) ).
tff(c_123024,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_122989,c_122953,c_118809,c_20]) ).
tff(c_123041,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_123024,c_80]) ).
tff(c_123042,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_123041]) ).
tff(c_123053,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123042,c_34]) ).
tff(c_123054,plain,
( ( op(e3,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_122981,c_123053]) ).
tff(c_123055,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_123054]) ).
tff(c_123059,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123055,c_152]) ).
tff(c_123122,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_123011,c_122975,c_36]) ).
tff(c_123123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_123059,c_123122]) ).
tff(c_123125,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_123054]) ).
tff(c_123182,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_123002,c_123140,c_123125,c_26]) ).
tff(c_123149,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122976,c_122962,c_60]) ).
tff(c_123150,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_123149]) ).
tff(c_123151,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_123150]) ).
tff(c_123124,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_123054]) ).
tff(c_123266,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_123182,c_123182,c_122948,c_123151,c_123151,c_122998,c_122962,c_122962,c_123124,c_122976,c_122976,c_632]) ).
tff(c_123267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_202,c_194,c_123266]) ).
tff(c_123269,plain,
op(e2,e2) != e1,
inference(splitRight,[status(thm)],[c_123150]) ).
tff(c_123142,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123137,c_166]) ).
tff(c_123286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122967,c_123269,c_123142,c_122980,c_12]) ).
tff(c_123287,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_123136]) ).
tff(c_123293,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123287,c_154]) ).
tff(c_123328,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122963,c_123305,c_123293,c_122981,c_10]) ).
tff(c_123329,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_123300]) ).
tff(c_123441,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123329,c_123287,c_123287,c_123124,c_123024,c_123024,c_123329,c_123011,c_123011,c_123329,c_118805,c_118805,c_658]) ).
tff(c_123442,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_194,c_198,c_123441]) ).
tff(c_123443,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_123010]) ).
tff(c_123449,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123443,c_152]) ).
tff(c_123496,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122998,c_88]) ).
tff(c_123497,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_123449,c_123496]) ).
tff(c_123498,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_123497]) ).
tff(c_123448,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123443,c_146]) ).
tff(c_123485,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_122963,c_123448,c_122981,c_10]) ).
tff(c_123490,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123485,c_154]) ).
tff(c_123521,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122998,c_123498,c_92]) ).
tff(c_123522,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_123490,c_123521]) ).
tff(c_123569,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122998,c_123498,c_123522,c_84]) ).
tff(c_123570,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_123569]) ).
tff(c_123491,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123485,c_110]) ).
tff(c_123550,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_122967,c_123491,c_122980,c_12]) ).
tff(c_123637,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123443,c_123570,c_123570,c_122948,c_123522,c_123522,c_123550,c_123498,c_123498,c_123550,c_118805,c_118805,c_714]) ).
tff(c_123638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_198,c_123637]) ).
tff(c_123640,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_123497]) ).
tff(c_123455,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_122964,c_107837,c_6]) ).
tff(c_123456,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_123455]) ).
tff(c_123450,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123443,c_100]) ).
tff(c_123465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123456,c_123450]) ).
tff(c_123466,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_123455]) ).
tff(c_123650,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_122962,c_123466,c_70]) ).
tff(c_123651,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123640,c_198,c_202,c_194,c_123650]) ).
tff(c_123652,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_122974]) ).
tff(c_123655,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123652,c_148]) ).
tff(c_124089,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_122953,c_118809,c_20]) ).
tff(c_124090,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_124089]) ).
tff(c_122952,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_124]) ).
tff(c_124102,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_123655,c_122952,c_118808,c_18]) ).
tff(c_124106,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124102,c_150]) ).
tff(c_124120,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_122963,c_124106,c_10]) ).
tff(c_124121,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_124120]) ).
tff(c_124126,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124121,c_110]) ).
tff(c_123679,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_118811,c_32]) ).
tff(c_123680,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_123679]) ).
tff(c_123684,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_123680,c_142]) ).
tff(c_122956,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_180]) ).
tff(c_123664,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_123652,c_40]) ).
tff(c_123665,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_123664]) ).
tff(c_123666,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_123665]) ).
tff(c_123669,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123666,c_176]) ).
tff(c_123691,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123680,c_88]) ).
tff(c_123692,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_123669,c_123691]) ).
tff(c_123693,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_123692]) ).
tff(c_123783,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123680,c_123693,c_92]) ).
tff(c_123784,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_122956,c_198,c_123783]) ).
tff(c_123845,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_123784,c_123652,c_123652,c_123666,c_123784,c_123652,c_738]) ).
tff(c_123847,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_123692]) ).
tff(c_123653,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_122974]) ).
tff(c_123670,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_123666,c_102]) ).
tff(c_123848,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_123653,c_107838,c_123670,c_4]) ).
tff(c_123854,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123848,c_164]) ).
tff(c_123900,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_123684,c_123847,c_123854,c_28]) ).
tff(c_123905,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_123900,c_166]) ).
tff(c_123852,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123848,c_158]) ).
tff(c_123918,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_122967,c_123905,c_123852,c_12]) ).
tff(c_123846,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_123692]) ).
tff(c_123853,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_123848,c_160]) ).
tff(c_123876,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_122953,c_118809,c_123853,c_20]) ).
tff(c_124021,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_123918,c_123846,c_123846,c_123680,c_123876,c_123876,c_123918,c_123666,c_123666,c_123918,c_118805,c_118805,c_658]) ).
tff(c_124022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_198,c_124021]) ).
tff(c_124023,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_123679]) ).
tff(c_124048,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124023,c_118805,c_107834,c_94]) ).
tff(c_124049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_122965,c_204,c_124048]) ).
tff(c_124050,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_123665]) ).
tff(c_124066,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124050,c_158]) ).
tff(c_124131,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_122965,c_107840,c_118810,c_16]) ).
tff(c_124135,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124131,c_118]) ).
tff(c_124161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_122967,c_124126,c_124066,c_124135,c_12]) ).
tff(c_124162,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_124120]) ).
tff(c_124176,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122962,c_124162,c_60]) ).
tff(c_124177,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107840,c_204,c_198,c_124176]) ).
tff(c_124052,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_107834,c_94]) ).
tff(c_124053,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_122965,c_204,c_124052]) ).
tff(c_124212,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124053,c_118805,c_107834,c_82]) ).
tff(c_124213,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_124212]) ).
tff(c_124296,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124090,c_124177,c_124177,c_124213,c_124090,c_124177,c_722]) ).
tff(c_124297,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_124089]) ).
tff(c_124311,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_124297,c_80]) ).
tff(c_124312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_123655,c_124311]) ).
tff(c_124314,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_125219,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_124314,c_125187,c_64]) ).
tff(c_125220,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_125219]) ).
tff(c_125224,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125220,c_116]) ).
tff(c_124315,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_124316,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_124315]) ).
tff(c_124317,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_124316]) ).
tff(c_124319,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124317,c_170]) ).
tff(c_122954,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_174]) ).
tff(c_124313,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_124327,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_124319,c_122954,c_124313]) ).
tff(c_124332,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124327,c_120]) ).
tff(c_124339,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107840,c_118810,c_124332,c_16]) ).
tff(c_124343,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_124339,c_118]) ).
tff(c_124345,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_124339,c_190]) ).
tff(c_124350,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_124345,c_96]) ).
tff(c_124351,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_124350]) ).
tff(c_124730,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124351,c_92]) ).
tff(c_124731,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_204,c_124730]) ).
tff(c_124732,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_124731]) ).
tff(c_124736,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124732,c_166]) ).
tff(c_124334,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124327,c_114]) ).
tff(c_124766,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_124343,c_124736,c_124334,c_12]) ).
tff(c_124745,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124351,c_124732,c_88]) ).
tff(c_124746,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_118811,c_202,c_198,c_124745]) ).
tff(c_124410,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_124345,c_107842,c_118811,c_32]) ).
tff(c_124437,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124410,c_124351,c_92]) ).
tff(c_124438,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_124437]) ).
tff(c_124439,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_124438]) ).
tff(c_124454,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124439,c_166]) ).
tff(c_124461,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_124343,c_124454,c_124334,c_12]) ).
tff(c_124355,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_124351,c_136]) ).
tff(c_124453,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_124439,c_134]) ).
tff(c_124322,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124317,c_100]) ).
tff(c_124365,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_124322,c_2]) ).
tff(c_124366,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_124365]) ).
tff(c_124362,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_124317,c_48]) ).
tff(c_124363,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_124362]) ).
tff(c_124364,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_124363]) ).
tff(c_124372,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_124364,c_98]) ).
tff(c_124387,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124366,c_124372]) ).
tff(c_124388,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_124365]) ).
tff(c_124405,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_124388,c_152]) ).
tff(c_124481,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_124355,c_124453,c_124405,c_26]) ).
tff(c_124568,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124461,c_124481,c_124481,c_122948,c_124439,c_124439,c_124410,c_124351,c_124351,c_124461,c_118805,c_118805,c_714]) ).
tff(c_124569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_198,c_124568]) ).
tff(c_124570,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_124438]) ).
tff(c_124581,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124410,c_124351,c_124570,c_88]) ).
tff(c_124582,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_124581]) ).
tff(c_124586,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124582,c_166]) ).
tff(c_124597,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_124343,c_124586,c_124334,c_12]) ).
tff(c_124716,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_124570,c_124570,c_122948,c_124597,c_124597,c_124388,c_124327,c_124327,c_122948,c_107834,c_107834,c_630]) ).
tff(c_124717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_194,c_196,c_124716]) ).
tff(c_124718,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_124363]) ).
tff(c_124725,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_124718,c_98]) ).
tff(c_124321,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_124317,c_102]) ).
tff(c_124834,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_124725,c_107838,c_124321,c_4]) ).
tff(c_124758,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_124345,c_107842,c_118811,c_32]) ).
tff(c_124908,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_124766,c_124746,c_124746,c_124718,c_124834,c_124834,c_124758,c_124351,c_124351,c_122948,c_107834,c_107834,c_614]) ).
tff(c_124909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_200,c_196,c_124908]) ).
tff(c_124910,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_124731]) ).
tff(c_125054,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_124910,c_124718,c_124718,c_124317,c_124910,c_124718,c_738]) ).
tff(c_125055,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_124350]) ).
tff(c_125057,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_125055]) ).
tff(c_125063,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125057,c_156]) ).
tff(c_125061,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125057,c_152]) ).
tff(c_125068,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_124322,c_2]) ).
tff(c_125069,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_125068]) ).
tff(c_125070,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125061,c_125069]) ).
tff(c_125071,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_125068]) ).
tff(c_125076,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125071,c_148]) ).
tff(c_125083,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125063,c_122952,c_118808,c_125076,c_18]) ).
tff(c_125084,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_125055]) ).
tff(c_125091,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125084,c_164]) ).
tff(c_125090,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125084,c_168]) ).
tff(c_125096,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_124322,c_2]) ).
tff(c_125097,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_125096]) ).
tff(c_125100,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125097,c_148]) ).
tff(c_125130,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_125100,c_122952,c_118808,c_18]) ).
tff(c_125149,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_125130,c_80]) ).
tff(c_125150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_125090,c_200,c_125149]) ).
tff(c_125151,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_125096]) ).
tff(c_125177,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_124317,c_125151,c_48]) ).
tff(c_125178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_125091,c_200,c_125177]) ).
tff(c_125179,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_124316]) ).
tff(c_125193,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_125179]) ).
tff(c_125196,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125193,c_146]) ).
tff(c_125231,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_122954,c_124313]) ).
tff(c_125232,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_125231]) ).
tff(c_125235,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125232,c_112]) ).
tff(c_125399,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_125224,c_125196,c_125235,c_10]) ).
tff(c_125405,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_125399,c_110]) ).
tff(c_125226,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125220,c_190]) ).
tff(c_125266,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_125226,c_107842,c_118811,c_32]) ).
tff(c_125197,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125193,c_152]) ).
tff(c_125243,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_118811,c_125197,c_88]) ).
tff(c_125244,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_125243]) ).
tff(c_125386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_125266,c_125266,c_125244,c_107834,c_125266,c_732]) ).
tff(c_125387,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_125243]) ).
tff(c_125394,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125387,c_166]) ).
tff(c_125199,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_125193,c_98]) ).
tff(c_125186,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125182,c_160]) ).
tff(c_125204,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_125186,c_107838,c_4]) ).
tff(c_125205,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_125204]) ).
tff(c_125206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125199,c_125205]) ).
tff(c_125207,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_125204]) ).
tff(c_125212,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125207,c_158]) ).
tff(c_125470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125187,c_125405,c_125394,c_125212,c_12]) ).
tff(c_125471,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_125231]) ).
tff(c_125180,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_124316]) ).
tff(c_125214,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125207,c_102]) ).
tff(c_125484,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_125180,c_125214,c_6]) ).
tff(c_125506,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_125471,c_125484,c_66]) ).
tff(c_125507,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_125506]) ).
tff(c_125513,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125507,c_144]) ).
tff(c_125538,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_125220,c_107834,c_82]) ).
tff(c_125539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125513,c_194,c_200,c_196,c_125538]) ).
tff(c_125540,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_125219]) ).
tff(c_125922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125540,c_125193,c_125193,c_107834,c_125540,c_125193,c_728]) ).
tff(c_125923,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_125179]) ).
tff(c_126160,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_125923,c_48]) ).
tff(c_126161,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_126160]) ).
tff(c_126162,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_126161]) ).
tff(c_126166,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126162,c_100]) ).
tff(c_125924,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_125179]) ).
tff(c_126171,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_126166,c_107839,c_125924,c_2]) ).
tff(c_126175,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126171,c_148]) ).
tff(c_126184,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_125182,c_68]) ).
tff(c_126185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_126175,c_126184]) ).
tff(c_126186,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_126161]) ).
tff(c_126191,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126186,c_146]) ).
tff(c_126133,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_107834,c_94]) ).
tff(c_126134,plain,
( ( op(e2,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_126133]) ).
tff(c_126135,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_126134]) ).
tff(c_126141,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126135,c_190]) ).
tff(c_126148,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_126141,c_107840,c_118810,c_16]) ).
tff(c_125185,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125182,c_122]) ).
tff(c_125935,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_122954,c_124313]) ).
tff(c_125936,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_125935]) ).
tff(c_125940,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_125936,c_170]) ).
tff(c_126039,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_125180,c_125940,c_6]) ).
tff(c_126044,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126039,c_100]) ).
tff(c_126108,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_126044,c_107839,c_125924,c_2]) ).
tff(c_126112,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126108,c_148]) ).
tff(c_126118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_125185,c_122952,c_118808,c_126112,c_18]) ).
tff(c_126119,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_125935]) ).
tff(c_126205,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126148,c_126119,c_64]) ).
tff(c_126206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_125187,c_126191,c_126205]) ).
tff(c_126207,plain,
op(e2,e0) = e0,
inference(splitRight,[status(thm)],[c_126134]) ).
tff(c_126123,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126119,c_112]) ).
tff(c_126126,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126119,c_178]) ).
tff(c_126274,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_126207,c_107834,c_82]) ).
tff(c_126275,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_126274]) ).
tff(c_126208,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_126134]) ).
tff(c_126218,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_125923,c_48]) ).
tff(c_126219,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_126218]) ).
tff(c_126220,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_126219]) ).
tff(c_126223,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126220,c_176]) ).
tff(c_125188,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_125182,c_168]) ).
tff(c_126229,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_126208,c_126223,c_125188,c_96]) ).
tff(c_126240,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126229,c_92]) ).
tff(c_126241,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107842,c_122956,c_204,c_126240]) ).
tff(c_126292,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126275,c_126241,c_126229,c_88]) ).
tff(c_126293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_126126,c_198,c_202,c_126292]) ).
tff(c_126294,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_126219]) ).
tff(c_126365,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126294,c_38]) ).
tff(c_126366,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_118808,c_126123,c_202,c_126365]) ).
tff(c_126378,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126366,c_126294,c_34]) ).
tff(c_126379,plain,
( ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_126378]) ).
tff(c_126380,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_126379]) ).
tff(c_126403,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126366,c_126380,c_126294,c_42]) ).
tff(c_126404,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_126403]) ).
tff(c_126429,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126207,c_126119,c_126404,c_52]) ).
tff(c_126430,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_126429]) ).
tff(c_126323,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_126208,c_107842,c_118811,c_32]) ).
tff(c_126295,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_126219]) ).
tff(c_126310,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_126295,c_107837,c_125180,c_6]) ).
tff(c_126487,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126430,c_126366,c_126366,c_126323,c_125182,c_125182,c_126294,c_126310,c_126310,c_126430,c_118805,c_118805,c_658]) ).
tff(c_126488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_200,c_196,c_126487]) ).
tff(c_126490,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_126379]) ).
tff(c_126499,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_125182,c_68]) ).
tff(c_126500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_126490,c_126499]) ).
tff(c_126501,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_125181]) ).
tff(c_127064,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_126501,c_80]) ).
tff(c_127065,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_127064]) ).
tff(c_127069,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127065,c_148]) ).
tff(c_126514,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_126506,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126501,c_122]) ).
tff(c_126955,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_122952,c_118808,c_126506,c_18]) ).
tff(c_126520,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126514,c_190]) ).
tff(c_126761,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_122954,c_124313]) ).
tff(c_126762,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_126761]) ).
tff(c_126767,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126762,c_120]) ).
tff(c_126804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126520,c_107840,c_118810,c_126767,c_16]) ).
tff(c_126805,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_126761]) ).
tff(c_126809,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126805,c_112]) ).
tff(c_126821,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_126520,c_107840,c_118810,c_16]) ).
tff(c_126826,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126821,c_116]) ).
tff(c_126845,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_126809,c_126826,c_10]) ).
tff(c_126846,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_126845]) ).
tff(c_126852,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126846,c_110]) ).
tff(c_126518,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126514,c_142]) ).
tff(c_126526,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_126520,c_124314,c_64]) ).
tff(c_126527,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_126526]) ).
tff(c_126539,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126527,c_158]) ).
tff(c_126507,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126501,c_160]) ).
tff(c_126611,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107837,c_125180,c_6]) ).
tff(c_126612,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_126611]) ).
tff(c_126525,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_125179]) ).
tff(c_126653,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_126612,c_126525,c_36]) ).
tff(c_126654,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_126507,c_194,c_126653]) ).
tff(c_126655,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_126611]) ).
tff(c_126700,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_126655,c_126525,c_48]) ).
tff(c_126701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_126539,c_202,c_126700]) ).
tff(c_126702,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_126526]) ).
tff(c_126717,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126702,c_150]) ).
tff(c_126748,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_126717,c_122952,c_118808,c_126506,c_18]) ).
tff(c_126749,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_125179]) ).
tff(c_126754,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126749,c_164]) ).
tff(c_126509,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_126501,c_168]) ).
tff(c_126861,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_126518,c_126754,c_126509,c_28]) ).
tff(c_126893,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126861,c_126501,c_126749,c_62]) ).
tff(c_126894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_126852,c_202,c_126893]) ).
tff(c_126895,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_126845]) ).
tff(c_126901,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_126895,c_154]) ).
tff(c_126908,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126514,c_92]) ).
tff(c_126909,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_122956,c_126901,c_126908]) ).
tff(c_126946,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126909,c_126501,c_126749,c_62]) ).
tff(c_126947,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_126946]) ).
tff(c_126831,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107837,c_125180,c_6]) ).
tff(c_126832,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_126831]) ).
tff(c_126836,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_126832,c_100]) ).
tff(c_126750,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_125179]) ).
tff(c_126935,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_126836,c_107839,c_126750,c_2]) ).
tff(c_126812,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_126805,c_178]) ).
tff(c_126924,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126514,c_126909,c_88]) ).
tff(c_126925,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_126812,c_198,c_126924]) ).
tff(c_126975,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126514,c_126909,c_126925,c_84]) ).
tff(c_126976,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_126975]) ).
tff(c_127051,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_126514,c_126955,c_126955,c_126947,c_126749,c_126749,c_126935,c_126976,c_126976,c_126947,c_118805,c_118805,c_490]) ).
tff(c_127052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_204,c_127051]) ).
tff(c_127053,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_126831]) ).
tff(c_127091,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_127053,c_126749,c_48]) ).
tff(c_127092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_127069,c_127091]) ).
tff(c_127094,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_127773,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_107834,c_94]) ).
tff(c_127774,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_127094,c_202,c_204,c_127773]) ).
tff(c_128028,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_127774,c_107834,c_82]) ).
tff(c_128029,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_128028]) ).
tff(c_128034,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128029,c_144]) ).
tff(c_127868,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_127774,c_107834,c_82]) ).
tff(c_127869,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_127868]) ).
tff(c_127825,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_122954,c_124313]) ).
tff(c_127826,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_127825]) ).
tff(c_127149,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_125179]) ).
tff(c_127156,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127149,c_98]) ).
tff(c_127163,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_107838,c_127156,c_126507,c_4]) ).
tff(c_127168,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127163,c_164]) ).
tff(c_127093,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_127286,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_127168,c_127093]) ).
tff(c_127287,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_127286]) ).
tff(c_127290,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127287,c_136]) ).
tff(c_127169,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127163,c_102]) ).
tff(c_127174,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_122954,c_124313]) ).
tff(c_127175,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_127174]) ).
tff(c_127179,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_127175,c_170]) ).
tff(c_127259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127169,c_107837,c_125180,c_127179,c_6]) ).
tff(c_127260,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_127174]) ).
tff(c_127314,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_127169,c_107837,c_125180,c_6]) ).
tff(c_127347,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_127260,c_127314,c_78]) ).
tff(c_127348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127290,c_204,c_202,c_200,c_127347]) ).
tff(c_127349,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_127286]) ).
tff(c_127350,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_127286]) ).
tff(c_127154,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_127149,c_152]) ).
tff(c_127361,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_127350,c_127154,c_26]) ).
tff(c_127362,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_127361]) ).
tff(c_127439,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_127169,c_107837,c_125180,c_6]) ).
tff(c_127167,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127163,c_158]) ).
tff(c_127273,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127260,c_64]) ).
tff(c_127274,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_127167,c_127273]) ).
tff(c_127275,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_127274]) ).
tff(c_127418,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_127275,c_107834,c_82]) ).
tff(c_127419,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_127418]) ).
tff(c_127536,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_127362,c_127362,c_127149,c_126501,c_126501,c_127149,c_127439,c_127439,c_127149,c_127419,c_127419,c_660]) ).
tff(c_127537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_194,c_202,c_127536]) ).
tff(c_127538,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_127361]) ).
tff(c_127586,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127349,c_127538,c_92]) ).
tff(c_127587,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107842,c_204,c_196,c_127586]) ).
tff(c_127550,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_127168,c_126509,c_28]) ).
tff(c_127551,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_127550]) ).
tff(c_127582,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_127349,c_127551,c_127538,c_88]) ).
tff(c_127583,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_118811,c_202,c_198,c_194,c_127582]) ).
tff(c_127585,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_127550]) ).
tff(c_127597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_127587,c_127585]) ).
tff(c_127598,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_127274]) ).
tff(c_127602,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127598,c_150]) ).
tff(c_127632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127602,c_122952,c_118808,c_126506,c_18]) ).
tff(c_127633,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_125179]) ).
tff(c_127634,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_125179]) ).
tff(c_127095,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_2]) ).
tff(c_127096,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_127095]) ).
tff(c_127098,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127096,c_148]) ).
tff(c_127146,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_127098,c_122952,c_118808,c_126506,c_18]) ).
tff(c_127147,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_127095]) ).
tff(c_127647,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_127634,c_127147]) ).
tff(c_127852,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_127633,c_127647,c_48]) ).
tff(c_127853,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_127852]) ).
tff(c_127927,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_127826,c_127853,c_70]) ).
tff(c_127928,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_127927]) ).
tff(c_127983,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_127869,c_127869,c_127928,c_107834,c_127869,c_732]) ).
tff(c_127984,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_127825]) ).
tff(c_127659,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_127093]) ).
tff(c_127665,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127659,c_156]) ).
tff(c_127769,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_118805,c_122948,c_126501,c_80]) ).
tff(c_127770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_127665,c_127769]) ).
tff(c_127771,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_127093]) ).
tff(c_127785,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_127771]) ).
tff(c_127790,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_127785,c_176]) ).
tff(c_127811,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_127633,c_127647,c_48]) ).
tff(c_127812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_127790,c_202,c_200,c_127811]) ).
tff(c_127814,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_127771]) ).
tff(c_128050,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_127984,c_78]) ).
tff(c_128051,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_127814,c_204,c_202,c_128050]) ).
tff(c_128062,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_122948,c_127984,c_128051,c_66]) ).
tff(c_128063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128034,c_196,c_194,c_200,c_128062]) ).
tff(c_128065,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_132888,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_144]) ).
tff(c_131585,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_131586,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_131585]) ).
tff(c_131587,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_131586]) ).
tff(c_131590,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131587,c_176]) ).
tff(c_128064,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_128066,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_128064]) ).
tff(c_128070,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_124]) ).
tff(c_128079,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_128070,c_118803]) ).
tff(c_128080,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_128079]) ).
tff(c_128083,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_132]) ).
tff(c_128092,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_128168,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128092,c_107834,c_86]) ).
tff(c_128169,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_128065,c_202,c_198,c_128168]) ).
tff(c_128189,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128169,c_128092,c_107834,c_82]) ).
tff(c_128190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128083,c_200,c_196,c_128189]) ).
tff(c_128192,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_128204,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128192,c_107840,c_16]) ).
tff(c_128205,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_128204]) ).
tff(c_128218,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128205,c_107834,c_82]) ).
tff(c_128219,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_128083,c_194,c_196,c_128218]) ).
tff(c_128209,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128205,c_120]) ).
tff(c_128191,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_128193,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_128191]) ).
tff(c_128199,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128193,c_110]) ).
tff(c_128195,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128193,c_146]) ).
tff(c_128067,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_148]) ).
tff(c_128230,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_128195,c_107839,c_128067,c_2]) ).
tff(c_128236,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128230,c_98]) ).
tff(c_128241,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_128236,c_4]) ).
tff(c_128242,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_128241]) ).
tff(c_128246,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128242,c_160]) ).
tff(c_128071,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_122]) ).
tff(c_128084,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_126]) ).
tff(c_128330,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_128246,c_128071,c_128084,c_20]) ).
tff(c_128334,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128330,c_162]) ).
tff(c_128208,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128205,c_118]) ).
tff(c_128340,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_128199,c_128334,c_128208,c_12]) ).
tff(c_128247,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128242,c_164]) ).
tff(c_128196,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128193,c_154]) ).
tff(c_128274,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128219,c_96]) ).
tff(c_128275,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_128247,c_128196,c_128274]) ).
tff(c_128289,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128219,c_128275,c_92]) ).
tff(c_128290,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_128289]) ).
tff(c_128291,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_128290]) ).
tff(c_128296,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128291,c_168]) ).
tff(c_128311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128246,c_128296,c_128071,c_128084,c_20]) ).
tff(c_128313,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_128290]) ).
tff(c_128223,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128219,c_142]) ).
tff(c_128376,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_128247,c_128313,c_128223,c_28]) ).
tff(c_128264,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128219,c_128205,c_107834,c_94]) ).
tff(c_128265,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_128264]) ).
tff(c_128447,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128340,c_128066,c_128066,c_128340,c_128376,c_128376,c_128230,c_128080,c_128080,c_128219,c_128265,c_128265,c_578]) ).
tff(c_128448,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_196,c_196,c_128447]) ).
tff(c_128449,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_128241]) ).
tff(c_128456,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128449,c_102]) ).
tff(c_128510,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_70]) ).
tff(c_128511,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_128209,c_128456,c_128510]) ).
tff(c_128628,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_128219,c_128219,c_128511,c_107834,c_128219,c_732]) ).
tff(c_128629,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_128204]) ).
tff(c_128636,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128629,c_190]) ).
tff(c_128644,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_128636,c_32]) ).
tff(c_128645,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_128644]) ).
tff(c_128651,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128645,c_192]) ).
tff(c_128656,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_128657,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_128067,c_128656]) ).
tff(c_128658,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_128657]) ).
tff(c_128682,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_128658,c_48]) ).
tff(c_128683,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_128195,c_128682]) ).
tff(c_128688,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_128683,c_160]) ).
tff(c_128723,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_80]) ).
tff(c_128724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_128651,c_200,c_128688,c_202,c_128723]) ).
tff(c_128725,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_128657]) ).
tff(c_128728,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128725,c_158]) ).
tff(c_128633,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128629,c_118]) ).
tff(c_128802,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_128199,c_128728,c_128633,c_12]) ).
tff(c_128806,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_128802,c_162]) ).
tff(c_128814,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_128815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_128806,c_198,c_128814]) ).
tff(c_128816,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_128644]) ).
tff(c_128872,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_128193,c_42]) ).
tff(c_128873,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_107839,c_128872]) ).
tff(c_129013,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_128629,c_128816,c_128816,c_128873,c_128629,c_128816,c_756]) ).
tff(c_129015,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_128191]) ).
tff(c_129014,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_128191]) ).
tff(c_129016,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_129014]) ).
tff(c_129019,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129016,c_170]) ).
tff(c_128087,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_180]) ).
tff(c_129022,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129016,c_114]) ).
tff(c_129705,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_129706,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_198,c_129705]) ).
tff(c_129710,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129706,c_162]) ).
tff(c_128069,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_150]) ).
tff(c_129029,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_94]) ).
tff(c_129030,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_128192,c_204,c_129029]) ).
tff(c_129031,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_129030]) ).
tff(c_129046,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129031,c_192]) ).
tff(c_129075,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_129076,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_198,c_129075]) ).
tff(c_129116,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_129076,c_128066,c_80]) ).
tff(c_129117,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129046,c_200,c_204,c_202,c_129116]) ).
tff(c_129118,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_129030]) ).
tff(c_129173,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129118,c_128080,c_128066,c_76]) ).
tff(c_129174,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_129173]) ).
tff(c_129178,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129174,c_162]) ).
tff(c_129152,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128192,c_107840,c_16]) ).
tff(c_129153,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_129152]) ).
tff(c_129194,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129153,c_129016,c_60]) ).
tff(c_129195,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_129178,c_129194]) ).
tff(c_129130,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_92]) ).
tff(c_129131,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_129130]) ).
tff(c_129027,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_4]) ).
tff(c_129028,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_129027]) ).
tff(c_129123,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129028,c_164]) ).
tff(c_129119,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_129030]) ).
tff(c_129158,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129153,c_190]) ).
tff(c_129184,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_129119,c_107842,c_129158,c_32]) ).
tff(c_129223,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129184,c_129131,c_96]) ).
tff(c_129224,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_129123,c_129223]) ).
tff(c_129234,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129224,c_128066,c_129195,c_34]) ).
tff(c_129235,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_129234]) ).
tff(c_129345,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_129195,c_129195,c_128080,c_129174,c_129174,c_128080,c_129131,c_129131,c_129235,c_129184,c_129184,c_428]) ).
tff(c_129346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_200,c_129345]) ).
tff(c_129347,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_129152]) ).
tff(c_129352,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129347,c_116]) ).
tff(c_129406,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_129015,c_128069,c_129352,c_10]) ).
tff(c_129125,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129028,c_98]) ).
tff(c_129394,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_129125,c_107839,c_128067,c_2]) ).
tff(c_129399,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129394,c_152]) ).
tff(c_129353,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129347,c_190]) ).
tff(c_129359,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_129119,c_107842,c_129353,c_32]) ).
tff(c_129420,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129359,c_129131,c_84]) ).
tff(c_129421,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_129399,c_129420]) ).
tff(c_129369,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129118,c_128080,c_128066,c_76]) ).
tff(c_129370,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_129369]) ).
tff(c_129374,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129370,c_162]) ).
tff(c_129351,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129347,c_118]) ).
tff(c_129442,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_129022,c_129374,c_129351,c_12]) ).
tff(c_129380,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_129028,c_40]) ).
tff(c_129381,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_128067,c_129380]) ).
tff(c_129530,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_129406,c_129406,c_129394,c_129421,c_129421,c_129442,c_129381,c_129381,c_129442,c_129359,c_129359,c_436]) ).
tff(c_129531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_194,c_202,c_129530]) ).
tff(c_129533,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_129130]) ).
tff(c_129689,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_129016,c_74]) ).
tff(c_129690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129533,c_196,c_204,c_107837,c_129689]) ).
tff(c_129691,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_129027]) ).
tff(c_129693,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_129691]) ).
tff(c_129696,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129693,c_158]) ).
tff(c_130069,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_129022,c_129710,c_129696,c_12]) ).
tff(c_130073,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130069,c_118]) ).
tff(c_130080,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_86]) ).
tff(c_130081,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_128065,c_130073,c_198,c_130080]) ).
tff(c_129021,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_129016,c_178]) ).
tff(c_129944,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_129022,c_129710,c_129696,c_12]) ).
tff(c_129853,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_129693,c_48]) ).
tff(c_129854,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_129019,c_200,c_129853]) ).
tff(c_129711,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_129706,c_168]) ).
tff(c_129716,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_129711,c_92]) ).
tff(c_129717,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_129716]) ).
tff(c_129728,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_82]) ).
tff(c_129729,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_128083,c_196,c_129728]) ).
tff(c_129730,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_129729]) ).
tff(c_129735,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_129730,c_190]) ).
tff(c_129819,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_128192,c_107840,c_129735,c_16]) ).
tff(c_129823,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_129819,c_118]) ).
tff(c_129840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129022,c_129710,c_129823,c_129696,c_12]) ).
tff(c_129841,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_129729]) ).
tff(c_129865,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129841,c_107834,c_94]) ).
tff(c_129866,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_129865]) ).
tff(c_129867,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_129866]) ).
tff(c_129888,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129867,c_129841,c_107834,c_86]) ).
tff(c_129889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_128065,c_194,c_198,c_129888]) ).
tff(c_129890,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_129866]) ).
tff(c_129935,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129890,c_129841,c_107834,c_86]) ).
tff(c_129936,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_129935]) ).
tff(c_130055,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_129944,c_128066,c_128066,c_129854,c_129693,c_129693,c_128080,c_129717,c_129717,c_129936,c_129890,c_129890,c_490]) ).
tff(c_130056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_200,c_198,c_130055]) ).
tff(c_130057,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_129716]) ).
tff(c_130091,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130081,c_130057,c_96]) ).
tff(c_130092,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_129021,c_204,c_130091]) ).
tff(c_130118,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130081,c_130092,c_130057,c_84]) ).
tff(c_130119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128087,c_200,c_196,c_130118]) ).
tff(c_130120,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_129691]) ).
tff(c_130127,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130120,c_102]) ).
tff(c_128086,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_172]) ).
tff(c_130589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129019,c_107837,c_130127,c_128086,c_6]) ).
tff(c_130590,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_129014]) ).
tff(c_130595,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130590,c_166]) ).
tff(c_131290,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_92]) ).
tff(c_131291,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_131290]) ).
tff(c_131327,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131291,c_96]) ).
tff(c_131328,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_130595,c_131327]) ).
tff(c_131329,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_131328]) ).
tff(c_131334,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131329,c_192]) ).
tff(c_131304,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_131305,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_198,c_131304]) ).
tff(c_131369,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_131305,c_128066,c_80]) ).
tff(c_131370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131334,c_200,c_204,c_202,c_131369]) ).
tff(c_131372,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_131328]) ).
tff(c_131251,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_82]) ).
tff(c_131252,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_128083,c_196,c_131251]) ).
tff(c_131253,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_131252]) ).
tff(c_131259,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131253,c_190]) ).
tff(c_131080,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128192,c_107840,c_16]) ).
tff(c_131081,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_131080]) ).
tff(c_131104,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131081,c_107834,c_82]) ).
tff(c_131105,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_128083,c_194,c_196,c_131104]) ).
tff(c_131109,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131105,c_142]) ).
tff(c_131196,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_131197,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_198,c_131196]) ).
tff(c_131038,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_131039,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_198,c_131038]) ).
tff(c_131044,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131039,c_168]) ).
tff(c_130592,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130590,c_158]) ).
tff(c_130602,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_130603,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_128067,c_130602]) ).
tff(c_130604,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_130603]) ).
tff(c_130609,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_130604,c_102]) ).
tff(c_130650,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_128067,c_2]) ).
tff(c_130651,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_130650]) ).
tff(c_130655,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130651,c_152]) ).
tff(c_130615,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_82]) ).
tff(c_130616,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_128083,c_196,c_130615]) ).
tff(c_130617,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_130616]) ).
tff(c_130618,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_92]) ).
tff(c_130619,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_130618]) ).
tff(c_130661,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130617,c_130619,c_96]) ).
tff(c_130662,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_130595,c_130655,c_130661]) ).
tff(c_130663,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_130650]) ).
tff(c_130669,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130663,c_98]) ).
tff(c_130677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130592,c_107838,c_130609,c_130669,c_4]) ).
tff(c_130678,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_130618]) ).
tff(c_130701,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_130678]) ).
tff(c_130680,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130592,c_107838,c_130609,c_4]) ).
tff(c_130774,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_130604,c_130680,c_48]) ).
tff(c_130775,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_130774]) ).
tff(c_130864,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130701,c_130775,c_130775,c_130604,c_130701,c_130775,c_738]) ).
tff(c_130865,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_130678]) ).
tff(c_130930,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130865,c_130590,c_130680,c_54]) ).
tff(c_130931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_128071,c_202,c_194,c_130930]) ).
tff(c_130933,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_130616]) ).
tff(c_130984,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_130933,c_128087,c_84]) ).
tff(c_130985,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_130984]) ).
tff(c_130946,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_130592,c_107838,c_130609,c_4]) ).
tff(c_130951,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_130946,c_164]) ).
tff(c_130996,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_130985,c_130951]) ).
tff(c_130997,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_130984]) ).
tff(c_130957,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_130595,c_96]) ).
tff(c_130958,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_130957]) ).
tff(c_130964,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_130958,c_192]) ).
tff(c_130981,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_130964,c_107841,c_128065,c_128083,c_24]) ).
tff(c_130982,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_130957]) ).
tff(c_131019,plain,
( ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_130997,c_130982]) ).
tff(c_131020,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_131019]) ).
tff(c_131076,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131020,c_130997,c_92]) ).
tff(c_131077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107842,c_204,c_131044,c_196,c_131076]) ).
tff(c_131078,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_130603]) ).
tff(c_131247,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131197,c_130590,c_131078,c_50]) ).
tff(c_131248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131109,c_196,c_200,c_194,c_131247]) ).
tff(c_131249,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_131080]) ).
tff(c_131264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131259,c_131249]) ).
tff(c_131266,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_131252]) ).
tff(c_131393,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_131372,c_107842,c_131266,c_32]) ).
tff(c_131371,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_131328]) ).
tff(c_131413,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131393,c_131291,c_131371,c_84]) ).
tff(c_131414,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_131413]) ).
tff(c_131281,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131249,c_116]) ).
tff(c_131403,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131371,c_128066,c_34]) ).
tff(c_131404,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_131281,c_131403]) ).
tff(c_131422,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131371,c_128066,c_131404,c_42]) ).
tff(c_131423,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_131422]) ).
tff(c_131507,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_131414,c_130590,c_130590,c_131423,c_131414,c_130590,c_762]) ).
tff(c_131508,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_131290]) ).
tff(c_131512,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_131508]) ).
tff(c_131518,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131512,c_154]) ).
tff(c_131545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_129015,c_131518,c_128069,c_131281,c_10]) ).
tff(c_131546,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_131508]) ).
tff(c_131564,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131546,c_168]) ).
tff(c_131569,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128080,c_128066,c_76]) ).
tff(c_131570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_131564,c_198,c_131569]) ).
tff(c_131571,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_128079]) ).
tff(c_131579,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_180]) ).
tff(c_132286,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107841,c_128065,c_24]) ).
tff(c_132287,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_132286]) ).
tff(c_131592,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131587,c_100]) ).
tff(c_131597,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_131592,c_107839,c_128067,c_2]) ).
tff(c_131601,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131597,c_146]) ).
tff(c_131589,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131587,c_170]) ).
tff(c_131577,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_174]) ).
tff(c_131608,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_128069,c_10]) ).
tff(c_131609,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_131608]) ).
tff(c_131613,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131609,c_116]) ).
tff(c_132077,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_86]) ).
tff(c_132078,plain,
( ( op(e2,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_128065,c_198,c_132077]) ).
tff(c_132079,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_132078]) ).
tff(c_132095,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132079,c_107834,c_94]) ).
tff(c_132096,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_131613,c_204,c_132095]) ).
tff(c_132099,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132096,c_130]) ).
tff(c_131576,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_126]) ).
tff(c_132147,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_132099,c_131576,c_128071,c_20]) ).
tff(c_132105,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131609,c_60]) ).
tff(c_132106,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107840,c_131577,c_204,c_132105]) ).
tff(c_132213,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132147,c_132106,c_132106,c_131609,c_132147,c_132106,c_764]) ).
tff(c_132214,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_132078]) ).
tff(c_132219,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132214,c_120]) ).
tff(c_131620,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_131579,c_92]) ).
tff(c_131621,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_131620]) ).
tff(c_131625,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_131621,c_166]) ).
tff(c_131659,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131609,c_60]) ).
tff(c_131660,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107840,c_131577,c_131625,c_204,c_131659]) ).
tff(c_131661,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_131620]) ).
tff(c_131871,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_94]) ).
tff(c_131872,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_131613,c_204,c_131871]) ).
tff(c_131873,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_131872]) ).
tff(c_131893,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131873,c_107834,c_86]) ).
tff(c_131894,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_128065,c_198,c_131893]) ).
tff(c_131904,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131894,c_131609,c_60]) ).
tff(c_131905,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_131577,c_204,c_131904]) ).
tff(c_131844,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_131587,c_131597,c_40]) ).
tff(c_131845,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_131844]) ).
tff(c_131602,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131597,c_152]) ).
tff(c_131663,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_131602,c_84]) ).
tff(c_131664,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_131663]) ).
tff(c_131668,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131664,c_144]) ).
tff(c_131686,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_131590,c_131579,c_131668,c_30]) ).
tff(c_131831,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_131664,c_131664,c_131686,c_107834,c_131664,c_732]) ).
tff(c_131832,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_131663]) ).
tff(c_131856,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_131832]) ).
tff(c_131859,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131856,c_138]) ).
tff(c_131916,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_131590,c_131579,c_131859,c_30]) ).
tff(c_131877,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_131873,c_192]) ).
tff(c_131925,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_131877,c_107841,c_128065,c_24]) ).
tff(c_132028,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_131661,c_131661,c_131905,c_131845,c_131845,c_131905,c_131916,c_131916,c_131597,c_131925,c_131925,c_618]) ).
tff(c_132029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_132028]) ).
tff(c_132030,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_131872]) ).
tff(c_132034,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132030,c_130]) ).
tff(c_131862,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_131856,c_168]) ).
tff(c_132065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132034,c_131576,c_128071,c_131862,c_20]) ).
tff(c_132066,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_131832]) ).
tff(c_132072,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132066,c_178]) ).
tff(c_132257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_131589,c_131577,c_132219,c_132072,c_14]) ).
tff(c_132258,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_131608]) ).
tff(c_132272,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_131601,c_132258]) ).
tff(c_132290,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132287,c_130]) ).
tff(c_132400,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_132290,c_131576,c_128071,c_20]) ).
tff(c_132313,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132287,c_107834,c_86]) ).
tff(c_132314,plain,
( ( op(e2,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_132313]) ).
tff(c_132315,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_132314]) ).
tff(c_132347,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132315,c_132287,c_107834,c_82]) ).
tff(c_132348,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_132347]) ).
tff(c_400,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_132474,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_132272,c_132272,c_131597,c_132400,c_132400,c_132315,c_131587,c_131587,c_131597,c_132348,c_132348,c_400]) ).
tff(c_132475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_194,c_132474]) ).
tff(c_132476,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_132314]) ).
tff(c_132514,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132287,c_132476,c_107834,c_82]) ).
tff(c_132515,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_132514]) ).
tff(c_132480,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132476,c_120]) ).
tff(c_132488,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_131589,c_131577,c_132480,c_14]) ).
tff(c_132492,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132488,c_178]) ).
tff(c_132497,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_131590,c_131579,c_132492,c_30]) ).
tff(c_132529,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_132272,c_131597,c_46]) ).
tff(c_132530,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_132529]) ).
tff(c_132543,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132515,c_132497,c_132530,c_92]) ).
tff(c_132544,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_132543]) ).
tff(c_132291,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132287,c_186]) ).
tff(c_132297,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132272,c_64]) ).
tff(c_132298,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_131589,c_204,c_132297]) ).
tff(c_132299,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_132298]) ).
tff(c_132300,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132291,c_132299]) ).
tff(c_132301,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_132298]) ).
tff(c_132604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_132544,c_132301,c_132301,c_132488,c_132544,c_132301,c_734]) ).
tff(c_132605,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_132286]) ).
tff(c_132658,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132605,c_131571,c_128066,c_80]) ).
tff(c_132659,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_132658]) ).
tff(c_132663,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132659,c_162]) ).
tff(c_132617,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132605,c_107834,c_94]) ).
tff(c_132618,plain,
( ( op(e2,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_132617]) ).
tff(c_132619,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_132618]) ).
tff(c_132630,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132619,c_132605,c_107834,c_86]) ).
tff(c_132631,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_132630]) ).
tff(c_132635,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132631,c_120]) ).
tff(c_132669,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_131589,c_131577,c_132635,c_14]) ).
tff(c_132688,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132631,c_132669,c_132272,c_64]) ).
tff(c_132689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_132663,c_204,c_132688]) ).
tff(c_132690,plain,
op(e2,e0) = e0,
inference(splitRight,[status(thm)],[c_132618]) ).
tff(c_132707,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132605,c_132690,c_107834,c_86]) ).
tff(c_132708,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_132707]) ).
tff(c_132714,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132708,c_144]) ).
tff(c_132723,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_131590,c_131579,c_132714,c_30]) ).
tff(c_132729,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132723,c_178]) ).
tff(c_132748,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132708,c_132723,c_96]) ).
tff(c_132749,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_132748]) ).
tff(c_132750,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_132749]) ).
tff(c_132755,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132750,c_168]) ).
tff(c_132609,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132605,c_130]) ).
tff(c_132760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132755,c_131576,c_128071,c_132609,c_20]) ).
tff(c_132761,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_132749]) ).
tff(c_132771,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_131576,c_128071,c_132609,c_20]) ).
tff(c_132734,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_131589,c_131577,c_14]) ).
tff(c_132735,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_132734]) ).
tff(c_132794,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132690,c_132735,c_132272,c_52]) ).
tff(c_132795,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_132794]) ).
tff(c_132875,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132708,c_132761,c_132761,c_132708,c_132771,c_132771,c_132708,c_131587,c_131587,c_132795,c_132708,c_132708,c_660]) ).
tff(c_132876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_200,c_132875]) ).
tff(c_132877,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_132734]) ).
tff(c_132879,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132729,c_132877]) ).
tff(c_132881,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_131586]) ).
tff(c_132890,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_190]) ).
tff(c_132910,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_132890,c_107840,c_16]) ).
tff(c_132911,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_132910]) ).
tff(c_132916,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132911,c_120]) ).
tff(c_132922,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_131577,c_132916,c_14]) ).
tff(c_132923,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_132922]) ).
tff(c_132929,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132923,c_114]) ).
tff(c_132914,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132911,c_118]) ).
tff(c_132880,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_131586]) ).
tff(c_132895,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_132880]) ).
tff(c_132901,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132895,c_98]) ).
tff(c_132934,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_132895,c_40]) ).
tff(c_132935,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_132934]) ).
tff(c_132936,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_132935]) ).
tff(c_132940,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_132936,c_102]) ).
tff(c_133088,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_132901,c_107838,c_132940,c_4]) ).
tff(c_133093,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133088,c_164]) ).
tff(c_132898,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132895,c_146]) ).
tff(c_132945,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_132929,c_132914,c_12]) ).
tff(c_132946,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_132945]) ).
tff(c_132952,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132946,c_110]) ).
tff(c_132971,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_132898,c_132952,c_128069,c_10]) ).
tff(c_132975,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_132971,c_154]) ).
tff(c_132887,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_142]) ).
tff(c_132951,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_132946,c_166]) ).
tff(c_132959,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_132887,c_132951,c_28]) ).
tff(c_132960,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_132959]) ).
tff(c_133013,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_132960,c_84]) ).
tff(c_133014,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_132975,c_133013]) ).
tff(c_133025,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_133014,c_132960,c_92]) ).
tff(c_133026,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_133025]) ).
tff(c_133085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_133026,c_132895,c_132895,c_132936,c_133026,c_132895,c_738]) ).
tff(c_133086,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_132959]) ).
tff(c_133098,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133093,c_133086]) ).
tff(c_133099,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_132945]) ).
tff(c_133104,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133099,c_158]) ).
tff(c_133154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132901,c_107838,c_132940,c_133104,c_4]) ).
tff(c_133155,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_132935]) ).
tff(c_133161,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_133155,c_164]) ).
tff(c_133167,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_132887,c_28]) ).
tff(c_133168,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_133167]) ).
tff(c_133172,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133168,c_166]) ).
tff(c_133269,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_132929,c_133172,c_132914,c_12]) ).
tff(c_133224,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_132911,c_107834,c_82]) ).
tff(c_133225,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_133224]) ).
tff(c_506,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_133345,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133269,c_128066,c_128066,c_132895,c_133269,c_133269,c_132884,c_132923,c_132923,c_132895,c_133225,c_133225,c_506]) ).
tff(c_133346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_202,c_204,c_133345]) ).
tff(c_133347,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_133167]) ).
tff(c_133349,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_133161,c_133347]) ).
tff(c_133355,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133349,c_166]) ).
tff(c_133363,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_132929,c_132914,c_133355,c_12]) ).
tff(c_133368,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133363,c_110]) ).
tff(c_133393,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_132895,c_42]) ).
tff(c_133394,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_133368,c_204,c_133393]) ).
tff(c_133356,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133349,c_168]) ).
tff(c_133404,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_131576,c_128071,c_133356,c_20]) ).
tff(c_133373,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_133155,c_132895,c_36]) ).
tff(c_133374,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_133373]) ).
tff(c_133520,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_133394,c_133394,c_132884,c_133404,c_133404,c_132895,c_133374,c_133374,c_133363,c_132911,c_132911,c_656]) ).
tff(c_133521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_200,c_198,c_133520]) ).
tff(c_133522,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_132922]) ).
tff(c_133565,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_133522,c_78]) ).
tff(c_133566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132888,c_204,c_200,c_132881,c_133565]) ).
tff(c_133567,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_132910]) ).
tff(c_133669,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_132884,c_133567,c_107834,c_86]) ).
tff(c_133670,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_128065,c_194,c_198,c_133669]) ).
tff(c_133671,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_132880]) ).
tff(c_133675,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133671,c_160]) ).
tff(c_133772,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_128066,c_80]) ).
tff(c_133773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132889,c_204,c_133675,c_202,c_133772]) ).
tff(c_133775,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_132883]) ).
tff(c_128072,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_156]) ).
tff(c_133774,plain,
( ( op(e1,e0) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(splitRight,[status(thm)],[c_132883]) ).
tff(c_133790,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_133774]) ).
tff(c_133792,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133790,c_118]) ).
tff(c_133801,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_131579,c_92]) ).
tff(c_133802,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_133801]) ).
tff(c_133806,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_133802,c_166]) ).
tff(c_133776,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_128067,c_2]) ).
tff(c_133777,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_133776]) ).
tff(c_133817,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_133777,c_40]) ).
tff(c_133818,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_133817]) ).
tff(c_133819,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_133818]) ).
tff(c_133864,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_133819,c_133777,c_36]) ).
tff(c_133865,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_133864]) ).
tff(c_133869,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_133865,c_158]) ).
tff(c_133935,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_133792,c_133806,c_133869,c_12]) ).
tff(c_133795,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133790,c_186]) ).
tff(c_133877,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133795,c_107841,c_128065,c_24]) ).
tff(c_134017,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133935,c_128066,c_128066,c_131571,c_133802,c_133802,c_133935,c_133819,c_133819,c_133777,c_133877,c_133877,c_562]) ).
tff(c_134018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_204,c_134017]) ).
tff(c_134019,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_133818]) ).
tff(c_134023,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134019,c_158]) ).
tff(c_134115,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_133792,c_133806,c_134023,c_12]) ).
tff(c_134020,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_133818]) ).
tff(c_134032,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_132881,c_107837,c_134020,c_6]) ).
tff(c_134051,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_133775,c_107842,c_32]) ).
tff(c_134052,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_134051]) ).
tff(c_134137,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134052,c_133790,c_107834,c_82]) ).
tff(c_134138,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_134137]) ).
tff(c_134210,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134115,c_128066,c_128066,c_133777,c_134115,c_134115,c_133777,c_134032,c_134032,c_133777,c_134138,c_134138,c_498]) ).
tff(c_134211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_200,c_204,c_134210]) ).
tff(c_134212,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_134051]) ).
tff(c_134030,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_131579,c_30]) ).
tff(c_134031,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_134030]) ).
tff(c_134227,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134212,c_134031,c_133802,c_88]) ).
tff(c_134228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_128072,c_134227]) ).
tff(c_134229,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_134030]) ).
tff(c_134231,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_134229]) ).
tff(c_134236,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134231,c_176]) ).
tff(c_134255,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_134019,c_133777,c_36]) ).
tff(c_134256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_134236,c_194,c_200,c_134255]) ).
tff(c_134257,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_134229]) ).
tff(c_134262,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134257,c_144]) ).
tff(c_134342,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133795,c_107841,c_128065,c_24]) ).
tff(c_134351,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134342,c_133790,c_107834,c_86]) ).
tff(c_134352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134262,c_194,c_202,c_198,c_134351]) ).
tff(c_134353,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_133801]) ).
tff(c_134354,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_133801]) ).
tff(c_134551,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133795,c_107841,c_128065,c_24]) ).
tff(c_134562,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134551,c_131571,c_128066,c_80]) ).
tff(c_134563,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_134562]) ).
tff(c_133794,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133790,c_120]) ).
tff(c_134388,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_133777,c_40]) ).
tff(c_134389,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_134388]) ).
tff(c_134390,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_134389]) ).
tff(c_134393,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134390,c_170]) ).
tff(c_133780,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133777,c_146]) ).
tff(c_134365,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_133780,c_128069,c_10]) ).
tff(c_134366,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_134365]) ).
tff(c_134360,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_134353,c_154]) ).
tff(c_134376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_134366,c_134360]) ).
tff(c_134377,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_134365]) ).
tff(c_134382,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134377,c_112]) ).
tff(c_134453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_133794,c_131577,c_134393,c_134382,c_14]) ).
tff(c_134454,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_134389]) ).
tff(c_134579,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134563,c_134454,c_58]) ).
tff(c_134580,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_134354,c_204,c_198,c_134579]) ).
tff(c_134462,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134454,c_164]) ).
tff(c_134537,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134353,c_88]) ).
tff(c_134538,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_134462,c_198,c_134537]) ).
tff(c_134539,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_134538]) ).
tff(c_134543,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134539,c_144]) ).
tff(c_134455,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_134389]) ).
tff(c_134468,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_66]) ).
tff(c_134469,plain,
( ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_134382,c_134468]) ).
tff(c_134470,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_134469]) ).
tff(c_134474,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_134470,c_176]) ).
tff(c_134523,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132881,c_107837,c_134455,c_134474,c_6]) ).
tff(c_134525,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_134469]) ).
tff(c_134605,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_131579,c_134543,c_134525,c_30]) ).
tff(c_134695,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_134353,c_134353,c_134580,c_134454,c_134454,c_134539,c_134605,c_134605,c_134580,c_134539,c_134539,c_620]) ).
tff(c_134696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_202,c_204,c_134695]) ).
tff(c_134698,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_134538]) ).
tff(c_134798,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_133790,c_107834,c_86]) ).
tff(c_134799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134698,c_128065,c_202,c_198,c_134798]) ).
tff(c_134800,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_133774]) ).
tff(c_134804,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134800,c_130]) ).
tff(c_135531,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_131579,c_92]) ).
tff(c_135532,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_135531]) ).
tff(c_135535,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135532,c_134]) ).
tff(c_135236,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_133780,c_128069,c_10]) ).
tff(c_135237,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_135236]) ).
tff(c_135240,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_135237,c_154]) ).
tff(c_135247,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107842,c_131579,c_135240,c_92]) ).
tff(c_133783,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133777,c_98]) ).
tff(c_134811,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_133783,c_107838,c_4]) ).
tff(c_134812,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_134811]) ).
tff(c_134818,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134812,c_102]) ).
tff(c_133781,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_133777,c_152]) ).
tff(c_134862,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134800,c_107834,c_86]) ).
tff(c_134863,plain,
( ( op(e2,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_134862]) ).
tff(c_134864,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_134863]) ).
tff(c_134868,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134864,c_144]) ).
tff(c_134801,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_133774]) ).
tff(c_134823,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134801,c_133780,c_64]) ).
tff(c_134824,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_134823]) ).
tff(c_134876,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_134824,c_70]) ).
tff(c_134877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134868,c_198,c_202,c_134818,c_134876]) ).
tff(c_134879,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_134863]) ).
tff(c_134919,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133775,c_107842,c_134879,c_32]) ).
tff(c_134889,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_132881,c_107837,c_134818,c_6]) ).
tff(c_134908,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_134824,c_134889,c_70]) ).
tff(c_134909,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_134908]) ).
tff(c_134835,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_131579,c_92]) ).
tff(c_134836,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_134835]) ).
tff(c_134934,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134919,c_134909,c_134836,c_96]) ).
tff(c_134935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_133781,c_134934]) ).
tff(c_134937,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_134835]) ).
tff(c_134817,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134812,c_164]) ).
tff(c_134964,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_134937,c_134817,c_28]) ).
tff(c_134965,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_134964]) ).
tff(c_134936,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_134835]) ).
tff(c_134989,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134965,c_134936,c_84]) ).
tff(c_134990,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_134989]) ).
tff(c_134991,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_134990]) ).
tff(c_135009,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134991,c_134965,c_134936,c_88]) ).
tff(c_135010,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_135009]) ).
tff(c_135089,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_134991,c_134991,c_135010,c_107834,c_134991,c_732]) ).
tff(c_135090,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_134990]) ).
tff(c_135095,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135090,c_176]) ).
tff(c_135104,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132881,c_107837,c_134818,c_135095,c_6]) ).
tff(c_135105,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_134964]) ).
tff(c_135110,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135105,c_142]) ).
tff(c_135119,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135105,c_134936,c_88]) ).
tff(c_135120,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_135119]) ).
tff(c_135121,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_135120]) ).
tff(c_135122,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_134824,c_70]) ).
tff(c_135123,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_134818,c_135122]) ).
tff(c_135127,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135123,c_144]) ).
tff(c_135142,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_135121,c_135127]) ).
tff(c_135144,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_135120]) ).
tff(c_134830,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_134824,c_114]) ).
tff(c_134815,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_134812,c_158]) ).
tff(c_134950,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_134830,c_134815,c_12]) ).
tff(c_134951,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_134950]) ).
tff(c_135156,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134824,c_134951,c_52]) ).
tff(c_135157,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_135156]) ).
tff(c_135158,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_135157]) ).
tff(c_135183,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134800,c_135158,c_107834,c_86]) ).
tff(c_135184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135144,c_202,c_194,c_198,c_135183]) ).
tff(c_135186,plain,
op(e2,e0) != e3,
inference(splitRight,[status(thm)],[c_135157]) ).
tff(c_135201,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_134801,c_107840,c_135186,c_16]) ).
tff(c_135218,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_134800,c_135201,c_107834,c_82]) ).
tff(c_135219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135110,c_200,c_194,c_196,c_135218]) ).
tff(c_135220,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_134823]) ).
tff(c_135440,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135247,c_135220,c_134812,c_50]) ).
tff(c_135441,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_135440]) ).
tff(c_135221,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_134823]) ).
tff(c_135258,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_134801,c_107840,c_16]) ).
tff(c_135259,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_135258]) ).
tff(c_135262,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135259,c_120]) ).
tff(c_135268,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_132881,c_107837,c_134818,c_6]) ).
tff(c_135272,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135268,c_170]) ).
tff(c_135363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135221,c_131577,c_135262,c_135272,c_14]) ).
tff(c_135364,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_135258]) ).
tff(c_135368,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135364,c_120]) ).
tff(c_135390,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_135221,c_131577,c_135368,c_14]) ).
tff(c_135394,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135390,c_178]) ).
tff(c_135411,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135247,c_88]) ).
tff(c_135412,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_135394,c_198,c_128072,c_135411]) ).
tff(c_135422,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135412,c_135247,c_96]) ).
tff(c_135423,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_133781,c_135422]) ).
tff(c_135527,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_135237,c_135237,c_133777,c_135441,c_135441,c_135412,c_135423,c_135423,c_135412,c_134800,c_134800,c_426]) ).
tff(c_135528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_198,c_135527]) ).
tff(c_135529,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_135236]) ).
tff(c_135571,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_128066,c_135529,c_133777,c_42]) ).
tff(c_135572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135535,c_198,c_196,c_204,c_135571]) ).
tff(c_135574,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_135531]) ).
tff(c_135612,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135220,c_134812,c_58]) ).
tff(c_135613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135574,c_131576,c_204,c_198,c_135612]) ).
tff(c_135614,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_134811]) ).
tff(c_135621,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135614,c_160]) ).
tff(c_135652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_134804,c_131576,c_128071,c_135621,c_20]) ).
tff(c_135653,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_133776]) ).
tff(c_135657,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135653,c_146]) ).
tff(c_135792,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_128069,c_135657,c_10]) ).
tff(c_135793,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_135792]) ).
tff(c_135797,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135793,c_112]) ).
tff(c_135767,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135653,c_132880]) ).
tff(c_135768,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_135767]) ).
tff(c_135781,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_135768,c_135653,c_40]) ).
tff(c_135782,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_135781]) ).
tff(c_135786,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_135782,c_170]) ).
tff(c_135666,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107840,c_16]) ).
tff(c_135667,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_135666]) ).
tff(c_135672,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135667,c_186]) ).
tff(c_135680,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135653,c_132880]) ).
tff(c_135681,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_135680]) ).
tff(c_135685,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135681,c_160]) ).
tff(c_135706,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_135685,c_131576,c_128071,c_20]) ).
tff(c_135710,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135706,c_130]) ).
tff(c_135738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135672,c_107841,c_128065,c_135710,c_24]) ).
tff(c_135739,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_135666]) ).
tff(c_135741,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_135739]) ).
tff(c_135746,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135741,c_120]) ).
tff(c_135824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_135797,c_131577,c_135786,c_135746,c_14]) ).
tff(c_135825,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_135792]) ).
tff(c_135753,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_128066,c_80]) ).
tff(c_135754,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_135753]) ).
tff(c_135755,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_135754]) ).
tff(c_135759,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135755,c_130]) ).
tff(c_135837,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_135759,c_131576,c_128071,c_20]) ).
tff(c_135842,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135837,c_168]) ).
tff(c_135748,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_135741,c_190]) ).
tff(c_135849,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_133775,c_107842,c_135748,c_32]) ).
tff(c_135773,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_135768,c_164]) ).
tff(c_135870,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135849,c_96]) ).
tff(c_135871,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_135773,c_135870]) ).
tff(c_135872,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_135871]) ).
tff(c_135888,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135872,c_131571,c_135782,c_66]) ).
tff(c_135889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_135746,c_194,c_135888]) ).
tff(c_135890,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_135871]) ).
tff(c_135925,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135849,c_135890,c_84]) ).
tff(c_135926,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_135842,c_200,c_135925]) ).
tff(c_136014,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_135825,c_135825,c_135653,c_135837,c_135837,c_135653,c_135926,c_135926,c_131571,c_107834,c_107834,c_422]) ).
tff(c_136015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_200,c_196,c_136014]) ).
tff(c_136016,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_135754]) ).
tff(c_136021,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136016,c_160]) ).
tff(c_136041,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135653,c_132880]) ).
tff(c_136042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_136021,c_136041]) ).
tff(c_136043,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_135739]) ).
tff(c_136051,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136043,c_190]) ).
tff(c_136376,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_133775,c_107842,c_136051,c_32]) ).
tff(c_136068,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_135653,c_132880]) ).
tff(c_136069,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_136068]) ).
tff(c_136072,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136069,c_158]) ).
tff(c_136084,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_136069,c_135653,c_40]) ).
tff(c_136085,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_136084]) ).
tff(c_136312,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_136085,c_78]) ).
tff(c_136313,plain,
( ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_136312]) ).
tff(c_136314,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_136313]) ).
tff(c_136319,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136314,c_178]) ).
tff(c_136049,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136043,c_120]) ).
tff(c_136343,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_136319,c_131577,c_136049,c_14]) ).
tff(c_136057,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_131571,c_128066,c_80]) ).
tff(c_136058,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_136057]) ).
tff(c_136059,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_136058]) ).
tff(c_136062,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136059,c_130]) ).
tff(c_136095,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136062,c_131576,c_128071,c_20]) ).
tff(c_136105,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_128069,c_135657,c_10]) ).
tff(c_136106,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_136105]) ).
tff(c_136186,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136043,c_136106,c_60]) ).
tff(c_136187,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_131577,c_204,c_136186]) ).
tff(c_136262,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136095,c_136187,c_136187,c_136106,c_136095,c_136187,c_764]) ).
tff(c_136263,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_136105]) ).
tff(c_136354,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136043,c_136343,c_136263,c_64]) ).
tff(c_136355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_136072,c_204,c_136354]) ).
tff(c_136357,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_136313]) ).
tff(c_136090,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136085,c_176]) ).
tff(c_136366,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_136357,c_131579,c_136090,c_30]) ).
tff(c_136371,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136366,c_144]) ).
tff(c_136386,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_136376,c_136371]) ).
tff(c_136388,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_136058]) ).
tff(c_136412,plain,
( ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136043,c_133774]) ).
tff(c_136413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_136388,c_136412]) ).
tff(c_136414,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_128064]) ).
tff(c_136416,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_136414]) ).
tff(c_136422,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_172]) ).
tff(c_142497,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_6]) ).
tff(c_142498,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_142497]) ).
tff(c_142502,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142498,c_176]) ).
tff(c_145005,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_80]) ).
tff(c_145006,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_145005]) ).
tff(c_145007,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_145006]) ).
tff(c_145012,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145007,c_192]) ).
tff(c_136428,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107840,c_16]) ).
tff(c_136429,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_136428]) ).
tff(c_136434,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_186]) ).
tff(c_136435,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_190]) ).
tff(c_136432,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_116]) ).
tff(c_136433,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_120]) ).
tff(c_136421,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_174]) ).
tff(c_136442,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_136433,c_136421,c_14]) ).
tff(c_136443,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_136442]) ).
tff(c_136446,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_136443,c_112]) ).
tff(c_136431,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_118]) ).
tff(c_136449,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_136443,c_114]) ).
tff(c_136454,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_136455,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_136422,c_136454]) ).
tff(c_136456,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_136455]) ).
tff(c_136458,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136456,c_158]) ).
tff(c_136833,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_136458,c_12]) ).
tff(c_136601,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_136458,c_12]) ).
tff(c_136606,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136601,c_110]) ).
tff(c_136692,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_136432,c_136446,c_136606,c_10]) ).
tff(c_136467,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136435,c_107842,c_32]) ).
tff(c_136468,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_136467]) ).
tff(c_136448,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_136443,c_178]) ).
tff(c_136479,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_92]) ).
tff(c_136480,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_136448,c_136479]) ).
tff(c_136481,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_136480]) ).
tff(c_136486,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_136481,c_168]) ).
tff(c_136420,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_126]) ).
tff(c_136605,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136601,c_162]) ).
tff(c_136660,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_136486,c_136420,c_136605,c_20]) ).
tff(c_136483,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_136481,c_134]) ).
tff(c_136471,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_140]) ).
tff(c_136590,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136483,c_136471,c_26]) ).
tff(c_136591,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_136590]) ).
tff(c_136595,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136591,c_152]) ).
tff(c_136462,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136456,c_98]) ).
tff(c_136611,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_136456,c_36]) ).
tff(c_136612,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_136611]) ).
tff(c_136613,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_136612]) ).
tff(c_136617,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136613,c_100]) ).
tff(c_136634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136595,c_107839,c_136462,c_136617,c_2]) ).
tff(c_136635,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_136612]) ).
tff(c_136706,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136481,c_136591,c_84]) ).
tff(c_136707,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_136706]) ).
tff(c_136789,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136601,c_136692,c_136692,c_136468,c_136660,c_136660,c_136635,c_136707,c_136707,c_136601,c_136468,c_136468,c_428]) ).
tff(c_136790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_200,c_200,c_136789]) ).
tff(c_136791,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_136590]) ).
tff(c_136415,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_128064]) ).
tff(c_136491,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_18]) ).
tff(c_136492,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_136491]) ).
tff(c_136497,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136492,c_122]) ).
tff(c_136524,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136497,c_136486,c_136420,c_20]) ).
tff(c_136528,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136524,c_130]) ).
tff(c_136534,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136429,c_107834,c_82]) ).
tff(c_136535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_136528,c_200,c_196,c_136534]) ).
tff(c_136536,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_136491]) ).
tff(c_136538,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_136536]) ).
tff(c_136544,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136538,c_128]) ).
tff(c_136574,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136429,c_107834,c_82]) ).
tff(c_136575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_136544,c_200,c_196,c_136574]) ).
tff(c_136576,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_136536]) ).
tff(c_136796,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136791,c_152]) ).
tff(c_136824,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_107839,c_136462,c_136796,c_2]) ).
tff(c_136879,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136791,c_136576,c_136824,c_38]) ).
tff(c_136880,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_136879]) ).
tff(c_136837,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_136833,c_162]) ).
tff(c_136843,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_136486,c_136420,c_136837,c_20]) ).
tff(c_136813,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136481,c_136791,c_96]) ).
tff(c_136814,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_136813]) ).
tff(c_136970,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136833,c_136880,c_136880,c_136468,c_136843,c_136843,c_136468,c_136814,c_136814,c_136833,c_136468,c_136468,c_428]) ).
tff(c_136971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_200,c_136970]) ).
tff(c_136972,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_136480]) ).
tff(c_136979,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_136972,c_156]) ).
tff(c_137148,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136429,c_107834,c_82]) ).
tff(c_137149,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_137148]) ).
tff(c_137153,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137149,c_128]) ).
tff(c_137181,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_136979,c_136415,c_137153,c_18]) ).
tff(c_137203,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_136458,c_12]) ).
tff(c_137207,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137203,c_110]) ).
tff(c_137214,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_136432,c_136446,c_137207,c_10]) ).
tff(c_137225,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136972,c_137181,c_137214,c_34]) ).
tff(c_137226,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_137225]) ).
tff(c_136984,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136972,c_96]) ).
tff(c_136985,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_136984]) ).
tff(c_136986,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_136985]) ).
tff(c_136990,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_136986,c_176]) ).
tff(c_137034,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_136986,c_136972,c_84]) ).
tff(c_137035,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_137034]) ).
tff(c_137039,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137035,c_166]) ).
tff(c_136999,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136972,c_34]) ).
tff(c_137000,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_136999]) ).
tff(c_137001,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_137000]) ).
tff(c_137006,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137001,c_150]) ).
tff(c_137052,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_136443,c_52]) ).
tff(c_137053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_137039,c_137006,c_137052]) ).
tff(c_137054,plain,
( ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_137000]) ).
tff(c_137067,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_137054]) ).
tff(c_137072,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137067,c_100]) ).
tff(c_137077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136990,c_107837,c_136422,c_137072,c_6]) ).
tff(c_137078,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_137054]) ).
tff(c_137084,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137078,c_110]) ).
tff(c_137134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_136458,c_137084,c_12]) ).
tff(c_137135,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_136985]) ).
tff(c_137161,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136468,c_137135,c_136972,c_84]) ).
tff(c_137162,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_137161]) ).
tff(c_137320,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_136972,c_136972,c_137226,c_137203,c_137203,c_137226,c_137162,c_137162,c_137226,c_137149,c_137149,c_650]) ).
tff(c_137321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_200,c_196,c_137320]) ).
tff(c_137322,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_136467]) ).
tff(c_137554,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137322,c_136429,c_107834,c_86]) ).
tff(c_137555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128065,c_202,c_198,c_137554]) ).
tff(c_137556,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_136455]) ).
tff(c_137560,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137556,c_146]) ).
tff(c_138450,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136435,c_107842,c_32]) ).
tff(c_138451,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_138450]) ).
tff(c_138704,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138451,c_96]) ).
tff(c_138705,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_138704]) ).
tff(c_138706,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_138705]) ).
tff(c_138710,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138706,c_136]) ).
tff(c_136423,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_180]) ).
tff(c_137561,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_137556,c_152]) ).
tff(c_137954,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136423,c_137561,c_88]) ).
tff(c_137955,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_137954]) ).
tff(c_137572,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_18]) ).
tff(c_137573,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_137572]) ).
tff(c_137557,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_136455]) ).
tff(c_137574,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_6]) ).
tff(c_137575,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_137574]) ).
tff(c_137587,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137575,c_176]) ).
tff(c_137580,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137573,c_156]) ).
tff(c_137593,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_136448,c_92]) ).
tff(c_137594,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_137593]) ).
tff(c_137595,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_137594,c_134]) ).
tff(c_137605,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136435,c_107842,c_32]) ).
tff(c_137606,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_137605]) ).
tff(c_137630,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137606,c_137594,c_84]) ).
tff(c_137631,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_137630]) ).
tff(c_137632,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_137631]) ).
tff(c_137636,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137632,c_136]) ).
tff(c_137667,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137580,c_137595,c_137561,c_137636,c_26]) ).
tff(c_137668,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_137631]) ).
tff(c_137674,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137668,c_154]) ).
tff(c_137683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136432,c_136446,c_137560,c_137674,c_10]) ).
tff(c_137684,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_137605]) ).
tff(c_137696,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137684,c_137594,c_88]) ).
tff(c_137697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_136423,c_198,c_137561,c_137696]) ).
tff(c_137698,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_137593]) ).
tff(c_137588,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_137575,c_102]) ).
tff(c_137700,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_137588,c_107838,c_137557,c_4]) ).
tff(c_137723,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136435,c_107842,c_32]) ).
tff(c_137724,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_137723]) ).
tff(c_137736,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137724,c_137698,c_96]) ).
tff(c_137737,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_137587,c_204,c_137736]) ).
tff(c_137750,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137724,c_137737,c_137698,c_84]) ).
tff(c_137751,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_137750]) ).
tff(c_137788,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_136434,c_107841,c_128065,c_24]) ).
tff(c_137887,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_137698,c_137698,c_137556,c_137700,c_137700,c_137556,c_137751,c_137751,c_137556,c_137788,c_137788,c_618]) ).
tff(c_137888,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_202,c_198,c_137887]) ).
tff(c_137889,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_137723]) ).
tff(c_137894,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137889,c_144]) ).
tff(c_137931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_137587,c_136448,c_136423,c_137894,c_30]) ).
tff(c_137932,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_137574]) ).
tff(c_137947,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137932,c_102]) ).
tff(c_137966,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_107838,c_137557,c_137947,c_4]) ).
tff(c_137977,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_136434,c_107841,c_128065,c_24]) ).
tff(c_137981,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137977,c_130]) ).
tff(c_137988,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137966,c_50]) ).
tff(c_137989,plain,
( ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_137981,c_200,c_137988]) ).
tff(c_137990,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_137989]) ).
tff(c_137995,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137990,c_166]) ).
tff(c_138046,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_137995,c_12]) ).
tff(c_138147,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137955,c_137573,c_137573,c_137955,c_137966,c_137966,c_138046,c_136416,c_136416,c_137556,c_137977,c_137977,c_482]) ).
tff(c_138148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_198,c_198,c_138147]) ).
tff(c_138149,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_137989]) ).
tff(c_138155,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138149,c_110]) ).
tff(c_138164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136432,c_136446,c_137560,c_138155,c_10]) ).
tff(c_138165,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_137954]) ).
tff(c_137946,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_137932,c_176]) ).
tff(c_138177,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138165,c_84]) ).
tff(c_138178,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_137946,c_194,c_138177]) ).
tff(c_138179,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_138178]) ).
tff(c_138183,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138179,c_140]) ).
tff(c_138170,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138165,c_166]) ).
tff(c_138199,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_138170,c_12]) ).
tff(c_138205,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138199,c_110]) ).
tff(c_138212,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_137573,c_137556,c_34]) ).
tff(c_138213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138183,c_200,c_138205,c_194,c_138212]) ).
tff(c_138214,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_138178]) ).
tff(c_138238,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138165,c_138214,c_96]) ).
tff(c_138239,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_136435,c_202,c_200,c_138238]) ).
tff(c_138252,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138239,c_138165,c_138214,c_92]) ).
tff(c_138253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107842,c_204,c_198,c_196,c_138252]) ).
tff(c_138254,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_137572]) ).
tff(c_138256,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_138254]) ).
tff(c_138376,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138256,c_76]) ).
tff(c_138377,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_198,c_196,c_138376]) ).
tff(c_138433,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138377,c_138256,c_80]) ).
tff(c_138434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136434,c_202,c_204,c_200,c_138433]) ).
tff(c_138435,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_138254]) ).
tff(c_138443,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_138435,c_156]) ).
tff(c_138739,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_138710,c_138443,c_137561,c_26]) ).
tff(c_138744,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138739,c_154]) ).
tff(c_138809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136432,c_136446,c_137560,c_138744,c_10]) ).
tff(c_138811,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_138705]) ).
tff(c_138462,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_6]) ).
tff(c_138463,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_138462]) ).
tff(c_138466,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138463,c_176]) ).
tff(c_138487,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138451,c_96]) ).
tff(c_138488,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_138466,c_138487]) ).
tff(c_138489,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_138488]) ).
tff(c_138492,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138489,c_134]) ).
tff(c_138512,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138435,c_137556,c_34]) ).
tff(c_138513,plain,
( ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_138512]) ).
tff(c_138514,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_138513]) ).
tff(c_138518,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138514,c_136]) ).
tff(c_138524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138466,c_136448,c_136423,c_138518,c_30]) ).
tff(c_138526,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_138513]) ).
tff(c_138536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138492,c_138443,c_137561,c_138526,c_26]) ).
tff(c_138538,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_138488]) ).
tff(c_138455,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138451,c_142]) ).
tff(c_138467,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138463,c_102]) ).
tff(c_138476,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_138467,c_107838,c_137557,c_4]) ).
tff(c_138482,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138476,c_164]) ).
tff(c_138609,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_138538,c_138455,c_138482,c_28]) ).
tff(c_138480,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138476,c_158]) ).
tff(c_138596,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_136431,c_136449,c_138480,c_12]) ).
tff(c_138481,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138476,c_160]) ).
tff(c_138550,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138435,c_68]) ).
tff(c_138551,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_138481,c_196,c_138550]) ).
tff(c_138691,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138435,c_138435,c_136416,c_138609,c_138609,c_138596,c_136416,c_136416,c_137556,c_138551,c_138551,c_578]) ).
tff(c_138692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_198,c_198,c_138691]) ).
tff(c_138693,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_138462]) ).
tff(c_138697,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138693,c_176]) ).
tff(c_138836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138811,c_136448,c_136423,c_138697,c_30]) ).
tff(c_138837,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_138450]) ).
tff(c_138913,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138837,c_136429,c_107834,c_86]) ).
tff(c_138914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128065,c_202,c_198,c_138913]) ).
tff(c_138915,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_136442]) ).
tff(c_138920,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138915,c_170]) ).
tff(c_139940,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_138920,c_6]) ).
tff(c_139944,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139940,c_176]) ).
tff(c_138940,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_138920,c_6]) ).
tff(c_138944,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138940,c_176]) ).
tff(c_138928,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_18]) ).
tff(c_138929,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_138928]) ).
tff(c_138934,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138929,c_122]) ).
tff(c_138951,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_138934,c_136420,c_20]) ).
tff(c_138952,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_138951]) ).
tff(c_138957,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_138952,c_162]) ).
tff(c_138963,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_138940,c_40]) ).
tff(c_138964,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_138963]) ).
tff(c_138965,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_138964]) ).
tff(c_138968,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_138965,c_158]) ).
tff(c_138922,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138915,c_114]) ).
tff(c_139114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136431,c_138957,c_138968,c_138922,c_12]) ).
tff(c_139115,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_138964]) ).
tff(c_139119,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139115,c_146]) ).
tff(c_138919,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138915,c_112]) ).
tff(c_139224,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_136432,c_139119,c_138919,c_10]) ).
tff(c_139272,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_139224,c_139115,c_139115,c_138940,c_139224,c_139115,c_740]) ).
tff(c_139273,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_138951]) ).
tff(c_139279,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139273,c_160]) ).
tff(c_139380,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_136431,c_138922,c_12]) ).
tff(c_139381,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_139380]) ).
tff(c_139386,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139381,c_110]) ).
tff(c_139391,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_138940,c_36]) ).
tff(c_139392,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_139279,c_139391]) ).
tff(c_139446,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_138929,c_139392,c_38]) ).
tff(c_139447,plain,
( ( op(e2,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_139446]) ).
tff(c_139448,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_139447]) ).
tff(c_139457,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139448,c_138929,c_139392,c_42]) ).
tff(c_139458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_139386,c_196,c_139457]) ).
tff(c_139460,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_139447]) ).
tff(c_138931,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138929,c_148]) ).
tff(c_138945,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138940,c_102]) ).
tff(c_139327,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_138945,c_107838,c_139279,c_4]) ).
tff(c_139333,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139327,c_98]) ).
tff(c_138935,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_138929,c_156]) ).
tff(c_139286,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136435,c_107842,c_32]) ).
tff(c_139287,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_139286]) ).
tff(c_139290,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139287,c_140]) ).
tff(c_139298,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_138935,c_139290,c_26]) ).
tff(c_139299,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_139298]) ).
tff(c_139303,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139299,c_136]) ).
tff(c_139312,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138915,c_138940,c_74]) ).
tff(c_139313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_139303,c_198,c_196,c_204,c_139312]) ).
tff(c_139314,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_139298]) ).
tff(c_139321,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139314,c_152]) ).
tff(c_139352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138931,c_107839,c_139333,c_139321,c_2]) ).
tff(c_139353,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_139286]) ).
tff(c_139368,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139353,c_92]) ).
tff(c_139369,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_139368]) ).
tff(c_139370,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_139369]) ).
tff(c_139418,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139353,c_139370,c_96]) ).
tff(c_139419,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_138935,c_139418]) ).
tff(c_139477,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139353,c_139370,c_139419,c_88]) ).
tff(c_139478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_139460,c_139477]) ).
tff(c_139479,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_139380]) ).
tff(c_139483,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_139479,c_158]) ).
tff(c_139497,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_138940,c_40]) ).
tff(c_139498,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_139483,c_139497]) ).
tff(c_139525,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_138940,c_139498,c_36]) ).
tff(c_139526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_139279,c_194,c_139525]) ).
tff(c_139528,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_139369]) ).
tff(c_138921,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_138915,c_178]) ).
tff(c_139579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_138944,c_139528,c_136423,c_138921,c_30]) ).
tff(c_139580,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_138928]) ).
tff(c_139582,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_139580]) ).
tff(c_139586,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139582,c_128]) ).
tff(c_139589,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139582,c_156]) ).
tff(c_139585,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_139582,c_148]) ).
tff(c_139696,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_138920,c_6]) ).
tff(c_139594,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_40]) ).
tff(c_139595,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_136422,c_139594]) ).
tff(c_139596,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_139595]) ).
tff(c_139734,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_139696,c_139596,c_36]) ).
tff(c_139735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_139585,c_139734]) ).
tff(c_139736,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_139595]) ).
tff(c_139748,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_139736,c_48]) ).
tff(c_139749,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_139748]) ).
tff(c_139750,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_139749]) ).
tff(c_139796,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138915,c_139750,c_74]) ).
tff(c_139797,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_139796]) ).
tff(c_139754,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139750,c_176]) ).
tff(c_139760,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136435,c_139754,c_96]) ).
tff(c_139761,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_139760]) ).
tff(c_139809,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139797,c_139761,c_84]) ).
tff(c_139810,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_139589,c_139809]) ).
tff(c_139843,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139810,c_136429,c_107834,c_86]) ).
tff(c_139844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128065,c_202,c_198,c_139843]) ).
tff(c_139845,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_139760]) ).
tff(c_139871,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139845,c_84]) ).
tff(c_139872,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_138921,c_200,c_139871]) ).
tff(c_139873,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_139872]) ).
tff(c_139883,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139873,c_136429,c_107834,c_86]) ).
tff(c_139884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128065,c_202,c_198,c_139883]) ).
tff(c_139886,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_139872]) ).
tff(c_139900,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_136435,c_107842,c_139886,c_32]) ).
tff(c_139910,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139900,c_136429,c_107834,c_82]) ).
tff(c_139911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_139586,c_200,c_196,c_139910]) ).
tff(c_139912,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_139580]) ).
tff(c_139920,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139912,c_122]) ).
tff(c_139926,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_139920,c_136420,c_20]) ).
tff(c_139927,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_139926]) ).
tff(c_139935,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139927,c_168]) ).
tff(c_139933,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_139927,c_160]) ).
tff(c_139951,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_139933,c_107838,c_4]) ).
tff(c_139952,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_139951]) ).
tff(c_139964,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_139927,c_139952,c_58]) ).
tff(c_139965,plain,
( ( op(e2,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_139964]) ).
tff(c_139966,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_139965]) ).
tff(c_139972,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139966,c_166]) ).
tff(c_139919,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_139912,c_150]) ).
tff(c_139977,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_136432,c_139919,c_138919,c_10]) ).
tff(c_140017,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_138915,c_139977,c_60]) ).
tff(c_140018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_139972,c_198,c_140017]) ).
tff(c_140019,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_139965]) ).
tff(c_140055,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_136432,c_139919,c_138919,c_10]) ).
tff(c_140030,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136429,c_107834,c_86]) ).
tff(c_140031,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_128065,c_202,c_198,c_140030]) ).
tff(c_140042,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138915,c_139940,c_74]) ).
tff(c_140043,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_140042]) ).
tff(c_140195,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140019,c_140055,c_140055,c_140031,c_139927,c_139927,c_136416,c_140043,c_140043,c_140019,c_140031,c_140031,c_428]) ).
tff(c_140196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_202,c_204,c_140195]) ).
tff(c_140197,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_139951]) ).
tff(c_140202,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140197,c_164]) ).
tff(c_140276,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_138921,c_140202,c_84]) ).
tff(c_140277,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_140276]) ).
tff(c_140283,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140277,c_192]) ).
tff(c_140332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136434,c_107841,c_128065,c_140283,c_24]) ).
tff(c_140333,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_140276]) ).
tff(c_140347,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140333,c_88]) ).
tff(c_140348,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_136423,c_194,c_140347]) ).
tff(c_140349,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_140348]) ).
tff(c_140371,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_138915,c_139940,c_74]) ).
tff(c_140372,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_140371]) ).
tff(c_140381,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140349,c_140372,c_140333,c_96]) ).
tff(c_140382,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_139935,c_200,c_140381]) ).
tff(c_140383,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_140348]) ).
tff(c_140394,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140383,c_140333,c_96]) ).
tff(c_140395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136435,c_139944,c_202,c_200,c_140394]) ).
tff(c_140396,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_139926]) ).
tff(c_140485,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_140396,c_139912,c_80]) ).
tff(c_140486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_136434,c_202,c_200,c_204,c_140485]) ).
tff(c_140487,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_136428]) ).
tff(c_140489,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_140487]) ).
tff(c_140574,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_120]) ).
tff(c_142136,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136421,c_140574,c_14]) ).
tff(c_142137,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_142136]) ).
tff(c_142288,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142137,c_112]) ).
tff(c_140576,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_190]) ).
tff(c_140490,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_32]) ).
tff(c_140491,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_140490]) ).
tff(c_140566,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140491,c_140489,c_107834,c_86]) ).
tff(c_140567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_128065,c_194,c_198,c_140566]) ).
tff(c_140568,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_140490]) ).
tff(c_140609,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_140576,c_140568]) ).
tff(c_140633,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_140489,c_107834,c_94]) ).
tff(c_140634,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_140633]) ).
tff(c_140638,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140634,c_128]) ).
tff(c_140581,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136420,c_20]) ).
tff(c_140582,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_140581]) ).
tff(c_140584,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140582,c_130]) ).
tff(c_140593,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_140576,c_140568]) ).
tff(c_140605,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140593,c_140489,c_107834,c_94]) ).
tff(c_140606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_140584,c_200,c_204,c_140605]) ).
tff(c_140607,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_140581]) ).
tff(c_140621,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_140607]) ).
tff(c_140625,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140621,c_122]) ).
tff(c_140645,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_140638,c_136415,c_140625,c_18]) ).
tff(c_140614,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_142]) ).
tff(c_140628,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140621,c_168]) ).
tff(c_141199,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_140614,c_140628,c_28]) ).
tff(c_141200,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_141199]) ).
tff(c_141205,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_141200,c_166]) ).
tff(c_140626,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140621,c_160]) ).
tff(c_140961,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_140626,c_4]) ).
tff(c_140962,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_140961]) ).
tff(c_140965,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140962,c_158]) ).
tff(c_140994,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136421,c_140574,c_14]) ).
tff(c_140995,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_140994]) ).
tff(c_140998,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140995,c_112]) ).
tff(c_140650,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140645,c_150]) ).
tff(c_140656,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107837,c_136422,c_6]) ).
tff(c_140657,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_140656]) ).
tff(c_140661,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140657,c_176]) ).
tff(c_140668,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_96]) ).
tff(c_140669,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_140661,c_140668]) ).
tff(c_140670,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_140669]) ).
tff(c_140675,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140670,c_166]) ).
tff(c_140660,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140657,c_170]) ).
tff(c_140685,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_140660,c_136421,c_140574,c_14]) ).
tff(c_140691,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140685,c_114]) ).
tff(c_140662,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_140657,c_102]) ).
tff(c_140698,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_140662,c_107838,c_140626,c_4]) ).
tff(c_140702,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140698,c_158]) ).
tff(c_140572,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_118]) ).
tff(c_140754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140675,c_140691,c_140702,c_140572,c_12]) ).
tff(c_140755,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_140669]) ).
tff(c_140756,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_140669]) ).
tff(c_140795,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_140755,c_92]) ).
tff(c_140796,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_140795]) ).
tff(c_140797,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_140796]) ).
tff(c_140800,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140797,c_138]) ).
tff(c_140806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140756,c_140800,c_140614,c_140628,c_28]) ).
tff(c_140807,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_140796]) ).
tff(c_140573,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_116]) ).
tff(c_140817,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140755,c_140645,c_34]) ).
tff(c_140818,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_140573,c_140817]) ).
tff(c_140829,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_140657,c_66]) ).
tff(c_140830,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_140574,c_200,c_140829]) ).
tff(c_140946,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_140755,c_140755,c_136416,c_140807,c_140807,c_140818,c_140830,c_140830,c_140609,c_140634,c_140634,c_714]) ).
tff(c_140947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_200,c_198,c_140946]) ).
tff(c_140948,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_140656]) ).
tff(c_140983,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_140948,c_140962,c_40]) ).
tff(c_140984,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_140983]) ).
tff(c_140988,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_140984,c_146]) ).
tff(c_141041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_140998,c_140650,c_140988,c_140573,c_10]) ).
tff(c_141042,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_140994]) ).
tff(c_141062,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_141042,c_64]) ).
tff(c_141063,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_140965,c_141062]) ).
tff(c_141186,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_141063,c_140984,c_140984,c_107834,c_141063,c_140984,c_728]) ).
tff(c_141187,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_140961]) ).
tff(c_141191,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141187,c_158]) ).
tff(c_141273,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_141205,c_141191,c_140572,c_12]) ).
tff(c_141210,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136421,c_140574,c_14]) ).
tff(c_141211,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_141210]) ).
tff(c_141221,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_141211,c_56]) ).
tff(c_141222,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_141191,c_141221]) ).
tff(c_141193,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141187,c_98]) ).
tff(c_140955,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_140948,c_100]) ).
tff(c_141244,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_107839,c_141193,c_140955,c_2]) ).
tff(c_404,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_141368,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_141273,c_141222,c_141222,c_141244,c_140621,c_140621,c_141244,c_140948,c_140948,c_141273,c_140609,c_140609,c_404]) ).
tff(c_141369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200,c_204,c_141368]) ).
tff(c_141370,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_141210]) ).
tff(c_141386,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141370,c_178]) ).
tff(c_140651,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_140645,c_156]) ).
tff(c_141393,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_141200,c_92]) ).
tff(c_141394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_141386,c_204,c_140651,c_141393]) ).
tff(c_141395,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_141199]) ).
tff(c_141401,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141395,c_138]) ).
tff(c_141426,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_56]) ).
tff(c_141427,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_136421,c_141191,c_141426]) ).
tff(c_141442,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_141427,c_64]) ).
tff(c_141443,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_141442]) ).
tff(c_141444,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_141443]) ).
tff(c_141455,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_141444,c_140948,c_74]) ).
tff(c_141456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141401,c_198,c_204,c_196,c_141455]) ).
tff(c_141457,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_141443]) ).
tff(c_141584,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_140645,c_140645,c_141457,c_141187,c_141187,c_141457,c_136416,c_136416,c_140609,c_140634,c_140634,c_482]) ).
tff(c_141585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_198,c_141584]) ).
tff(c_141586,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_140607]) ).
tff(c_141593,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141586,c_162]) ).
tff(c_141602,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_141603,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_141602]) ).
tff(c_141604,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_141603]) ).
tff(c_141617,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_141604,c_170]) ).
tff(c_141649,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_141617,c_136421,c_140574,c_14]) ).
tff(c_141654,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141649,c_178]) ).
tff(c_141594,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141586,c_168]) ).
tff(c_141682,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_92]) ).
tff(c_141683,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_141654,c_141594,c_141682]) ).
tff(c_141808,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_140609,c_140609,c_141683,c_140489,c_140609,c_756]) ).
tff(c_141809,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_141603]) ).
tff(c_141811,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_141809]) ).
tff(c_141844,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_141811,c_40]) ).
tff(c_141845,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_136422,c_202,c_141844]) ).
tff(c_141848,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_141845,c_158]) ).
tff(c_141869,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_141593,c_141848,c_140572,c_12]) ).
tff(c_141874,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_141869,c_114]) ).
tff(c_141855,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_92]) ).
tff(c_141856,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_141594,c_141855]) ).
tff(c_141857,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_141856]) ).
tff(c_141862,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_141857,c_178]) ).
tff(c_141906,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_141874,c_141862,c_136421,c_140574,c_14]) ).
tff(c_141907,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_141856]) ).
tff(c_142072,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_140609,c_140609,c_141907,c_140489,c_140609,c_756]) ).
tff(c_142073,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_141809]) ).
tff(c_142077,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142073,c_164]) ).
tff(c_142125,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_142077,c_141594,c_140614,c_28]) ).
tff(c_142138,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_142125,c_92]) ).
tff(c_142139,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_142138]) ).
tff(c_142140,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_142139]) ).
tff(c_142203,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_142140,c_142125,c_96]) ).
tff(c_142204,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_142203]) ).
tff(c_142109,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_142073,c_40]) ).
tff(c_142110,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_136422,c_202,c_142109]) ).
tff(c_142173,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142140,c_136416,c_142137,c_66]) ).
tff(c_142174,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_142173]) ).
tff(c_142282,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140609,c_142204,c_142204,c_140609,c_142073,c_142073,c_142110,c_142174,c_142174,c_136416,c_107834,c_107834,c_590]) ).
tff(c_142283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_194,c_194,c_142282]) ).
tff(c_142284,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_142139]) ).
tff(c_142299,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142284,c_154]) ).
tff(c_142114,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142110,c_146]) ).
tff(c_142334,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142288,c_142299,c_142114,c_140573,c_10]) ).
tff(c_142335,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_142136]) ).
tff(c_142371,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_142335,c_56]) ).
tff(c_142372,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_142114,c_142371]) ).
tff(c_142401,plain,
( ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_140489,c_142335,c_142372,c_64]) ).
tff(c_142402,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_142401]) ).
tff(c_142480,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142402,c_142110,c_142110,c_107834,c_142402,c_142110,c_728]) ).
tff(c_142481,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_140487]) ).
tff(c_142489,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_190]) ).
tff(c_145144,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_145012,c_107842,c_142489,c_32]) ).
tff(c_142504,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142498,c_100]) ).
tff(c_144617,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_107834,c_94]) ).
tff(c_144618,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_144617]) ).
tff(c_144619,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_144618]) ).
tff(c_142503,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142498,c_102]) ).
tff(c_142509,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_4]) ).
tff(c_142510,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_142509]) ).
tff(c_142511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142503,c_142510]) ).
tff(c_142512,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_142509]) ).
tff(c_143995,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_142512]) ).
tff(c_143998,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143995,c_158]) ).
tff(c_142514,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_92]) ).
tff(c_142515,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_142514]) ).
tff(c_142519,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_138]) ).
tff(c_143027,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_136416,c_142498,c_66]) ).
tff(c_143028,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_143027]) ).
tff(c_142526,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_142512]) ).
tff(c_142531,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142526,c_164]) ).
tff(c_142501,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142498,c_170]) ).
tff(c_142518,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_136]) ).
tff(c_142687,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_80]) ).
tff(c_142688,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_142687]) ).
tff(c_142689,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_142688]) ).
tff(c_142694,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142689,c_130]) ).
tff(c_142530,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142526,c_160]) ).
tff(c_142701,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_142694,c_136420,c_142530,c_20]) ).
tff(c_142705,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142701,c_122]) ).
tff(c_142486,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_116]) ).
tff(c_142560,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_142486,c_10]) ).
tff(c_142561,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_142560]) ).
tff(c_142564,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142561,c_154]) ).
tff(c_142532,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142526,c_98]) ).
tff(c_142549,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_142532,c_2]) ).
tff(c_142555,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142549,c_152]) ).
tff(c_142537,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_84]) ).
tff(c_142538,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_142537]) ).
tff(c_142539,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_142538]) ).
tff(c_142542,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142539,c_140]) ).
tff(c_142620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142564,c_142518,c_142555,c_142542,c_26]) ).
tff(c_142621,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_142560]) ).
tff(c_142674,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_142621]) ).
tff(c_142717,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142674,c_142549,c_42]) ).
tff(c_142718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142518,c_142705,c_196,c_198,c_142717]) ).
tff(c_142719,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_142688]) ).
tff(c_142721,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_142719]) ).
tff(c_142731,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142721,c_142674,c_142549,c_42]) ).
tff(c_142732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142518,c_204,c_196,c_198,c_142731]) ).
tff(c_142733,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_142719]) ).
tff(c_142739,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_142733,c_162]) ).
tff(c_142485,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_118]) ).
tff(c_142529,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142526,c_158]) ).
tff(c_142769,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_142739,c_142485,c_142529,c_12]) ).
tff(c_142782,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_142769,c_142674,c_64]) ).
tff(c_142783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_142501,c_204,c_200,c_142782]) ).
tff(c_142784,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_142621]) ).
tff(c_142935,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_142784,c_142549,c_142549,c_142498,c_142784,c_142549,c_740]) ).
tff(c_142936,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_142538]) ).
tff(c_142938,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_142531,c_142936]) ).
tff(c_142944,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142938,c_156]) ).
tff(c_142951,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_142944,c_18]) ).
tff(c_142952,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_142951]) ).
tff(c_143117,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143028,c_136416,c_136416,c_142952,c_143028,c_136416,c_760]) ).
tff(c_143118,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_142951]) ).
tff(c_143125,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_143118,c_150]) ).
tff(c_142943,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_142938,c_154]) ).
tff(c_143178,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_143125,c_142486,c_142943,c_10]) ).
tff(c_143211,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142938,c_143118,c_143178,c_38]) ).
tff(c_143212,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_143211]) ).
tff(c_143298,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143178,c_143212,c_143212,c_107834,c_143178,c_143212,c_728]) ).
tff(c_143299,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_142512]) ).
tff(c_143305,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143299,c_164]) ).
tff(c_143764,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_84]) ).
tff(c_143765,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_143764]) ).
tff(c_143766,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_143765]) ).
tff(c_143771,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143766,c_142]) ).
tff(c_143780,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_142519,c_143305,c_143771,c_28]) ).
tff(c_143785,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143780,c_166]) ).
tff(c_143314,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_107834,c_94]) ).
tff(c_143315,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_143314]) ).
tff(c_143316,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_143315]) ).
tff(c_143555,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143316,c_142]) ).
tff(c_143306,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_143299,c_98]) ).
tff(c_143360,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143316,c_142515,c_84]) ).
tff(c_143361,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_143360]) ).
tff(c_143362,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_143361]) ).
tff(c_143317,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_64]) ).
tff(c_143318,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_142501,c_143317]) ).
tff(c_143319,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_143318]) ).
tff(c_143333,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143319,c_110]) ).
tff(c_143366,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143362,c_134]) ).
tff(c_143324,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143316,c_192]) ).
tff(c_143330,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143319,c_162]) ).
tff(c_143340,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_80]) ).
tff(c_143341,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_143324,c_202,c_143330,c_143340]) ).
tff(c_143381,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143341,c_34]) ).
tff(c_143382,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_143366,c_200,c_143381]) ).
tff(c_143383,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_143382]) ).
tff(c_143388,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143383,c_112]) ).
tff(c_143399,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_136416,c_142498,c_66]) ).
tff(c_143400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_143388,c_200,c_143399]) ).
tff(c_143402,plain,
op(e2,e3) != e3,
inference(splitRight,[status(thm)],[c_143382]) ).
tff(c_143412,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_143333,c_142486,c_143402,c_10]) ).
tff(c_143506,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143362,c_143319,c_143319,c_143412,c_143362,c_143319,c_762]) ).
tff(c_143507,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_143361]) ).
tff(c_143512,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143507,c_152]) ).
tff(c_143549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_143306,c_143512,c_2]) ).
tff(c_143551,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_143318]) ).
tff(c_143593,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143316,c_142515,c_84]) ).
tff(c_143594,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_143593]) ).
tff(c_143595,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_143594]) ).
tff(c_143600,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143595,c_166]) ).
tff(c_143646,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_143551,c_142485,c_143600,c_12]) ).
tff(c_143554,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143316,c_140]) ).
tff(c_143599,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143595,c_134]) ).
tff(c_143609,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_143554,c_142518,c_143599,c_26]) ).
tff(c_143628,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_143306,c_2]) ).
tff(c_143556,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143316,c_192]) ).
tff(c_143636,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_143556,c_107841,c_128065,c_24]) ).
tff(c_143738,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143646,c_143609,c_143609,c_143628,c_143595,c_143595,c_136416,c_142515,c_142515,c_143628,c_143636,c_143636,c_714]) ).
tff(c_143739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_196,c_143738]) ).
tff(c_143741,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_143594]) ).
tff(c_143752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143555,c_142519,c_143305,c_143741,c_28]) ).
tff(c_143753,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_143315]) ).
tff(c_143758,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_143753,c_130]) ).
tff(c_143801,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_143758,c_136420,c_20]) ).
tff(c_143802,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_143801]) ).
tff(c_143806,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_143802,c_162]) ).
tff(c_142521,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_142515,c_178]) ).
tff(c_143791,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_142501,c_142521,c_136421,c_14]) ).
tff(c_143796,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143791,c_114]) ).
tff(c_143839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143785,c_143806,c_142485,c_143796,c_12]) ).
tff(c_143840,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_143801]) ).
tff(c_143899,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_143785,c_142485,c_143796,c_12]) ).
tff(c_143851,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_143791,c_64]) ).
tff(c_143852,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_143785,c_143851]) ).
tff(c_143965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_143840,c_143899,c_143899,c_143852,c_143840,c_143899,c_764]) ).
tff(c_143967,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_143765]) ).
tff(c_143991,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_143753,c_142481,c_107834,c_82]) ).
tff(c_143992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143967,c_200,c_194,c_196,c_143991]) ).
tff(c_143993,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_142514]) ).
tff(c_144114,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_143993]) ).
tff(c_144001,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143995,c_98]) ).
tff(c_144137,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_144001,c_2]) ).
tff(c_144006,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_84]) ).
tff(c_144011,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144006,c_144]) ).
tff(c_143994,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_142514]) ).
tff(c_144086,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_142498,c_74]) ).
tff(c_144087,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_143994,c_198,c_204,c_144086]) ).
tff(c_144108,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_144087,c_142498,c_66]) ).
tff(c_144109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144011,c_194,c_196,c_200,c_144108]) ).
tff(c_144111,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_144372,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107842,c_142489,c_144111,c_32]) ).
tff(c_144464,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_144114,c_144114,c_144137,c_143995,c_143995,c_144372,c_142498,c_142498,c_136416,c_107834,c_107834,c_590]) ).
tff(c_144465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_200,c_194,c_144464]) ).
tff(c_144466,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_143993]) ).
tff(c_144110,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_84]) ).
tff(c_144478,plain,
( ( op(e0,e1) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144466,c_144110]) ).
tff(c_144479,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_144478]) ).
tff(c_144480,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_144479]) ).
tff(c_144485,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144480,c_154]) ).
tff(c_144543,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_142498,c_74]) ).
tff(c_144544,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_143994,c_198,c_204,c_144543]) ).
tff(c_144576,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_144544,c_52]) ).
tff(c_144577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_143998,c_144485,c_144576]) ).
tff(c_144578,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_144479]) ).
tff(c_144667,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144619,c_144578,c_144466,c_88]) ).
tff(c_144668,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_144667]) ).
tff(c_144672,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144668,c_152]) ).
tff(c_144697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_144672,c_144001,c_2]) ).
tff(c_144698,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_144618]) ).
tff(c_144592,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_80]) ).
tff(c_144593,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_144592]) ).
tff(c_144594,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_144593]) ).
tff(c_144608,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_144594,c_130]) ).
tff(c_144473,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_144466,c_168]) ).
tff(c_143999,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_143995,c_160]) ).
tff(c_144614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_144608,c_144473,c_136420,c_143999,c_20]) ).
tff(c_144616,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_144593]) ).
tff(c_144722,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_144698,c_144616]) ).
tff(c_144723,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_142512]) ).
tff(c_144729,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144723,c_164]) ).
tff(c_144736,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_143993]) ).
tff(c_144862,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144736,c_84]) ).
tff(c_144863,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_144862]) ).
tff(c_144864,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_144863]) ).
tff(c_144868,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144864,c_144]) ).
tff(c_144900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142502,c_143994,c_136423,c_144868,c_30]) ).
tff(c_144901,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_144863]) ).
tff(c_144905,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_144901]) ).
tff(c_144908,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_144905,c_138]) ).
tff(c_144920,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142502,c_143994,c_136423,c_144908,c_30]) ).
tff(c_144921,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_144901]) ).
tff(c_144991,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144921,c_144736,c_88]) ).
tff(c_144992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142489,c_194,c_144729,c_198,c_144991]) ).
tff(c_144993,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_143993]) ).
tff(c_145122,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_144993,c_88]) ).
tff(c_145123,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_142489,c_136423,c_198,c_145122]) ).
tff(c_145180,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145144,c_144993,c_145123,c_96]) ).
tff(c_145181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_142502,c_204,c_202,c_145180]) ).
tff(c_145183,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_145006]) ).
tff(c_145357,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_107834,c_94]) ).
tff(c_145358,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_145183,c_202,c_204,c_145357]) ).
tff(c_145361,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145358,c_140]) ).
tff(c_144730,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_144723,c_98]) ).
tff(c_145292,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_18]) ).
tff(c_145293,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_145292]) ).
tff(c_145182,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_145006]) ).
tff(c_145184,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_145182]) ).
tff(c_145188,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145184,c_150]) ).
tff(c_145257,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_144730,c_2]) ).
tff(c_145261,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145257,c_146]) ).
tff(c_145266,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_145188,c_142486,c_145261,c_10]) ).
tff(c_145270,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145266,c_112]) ).
tff(c_145248,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_142502,c_143994,c_136423,c_30]) ).
tff(c_145279,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145248,c_136416,c_142498,c_74]) ).
tff(c_145280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_145270,c_204,c_145279]) ).
tff(c_145281,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_145182]) ).
tff(c_145286,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145281,c_122]) ).
tff(c_145304,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145293,c_145286]) ).
tff(c_145305,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_145292]) ).
tff(c_145307,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_145305]) ).
tff(c_145321,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145307,c_148]) ).
tff(c_145343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_144730,c_145321,c_2]) ).
tff(c_145344,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_145305]) ).
tff(c_145350,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145344,c_150]) ).
tff(c_145372,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_145350,c_142486,c_10]) ).
tff(c_145373,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_145372]) ).
tff(c_145386,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_142504,c_107839,c_144730,c_2]) ).
tff(c_145413,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145344,c_145373,c_145386,c_38]) ).
tff(c_145414,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_145413]) ).
tff(c_145433,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145358,c_144993,c_145414,c_84]) ).
tff(c_145434,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_145433]) ).
tff(c_145395,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_142501,c_136421,c_14]) ).
tff(c_145396,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_145395]) ).
tff(c_145446,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_145396,c_145373,c_52]) ).
tff(c_145447,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_145446]) ).
tff(c_424,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_145534,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145358,c_145373,c_145373,c_145358,c_145281,c_145281,c_145386,c_145434,c_145434,c_145447,c_142481,c_142481,c_424]) ).
tff(c_145535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_194,c_145534]) ).
tff(c_145536,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_145395]) ).
tff(c_145540,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145536,c_178]) ).
tff(c_145547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_142502,c_143994,c_136423,c_145540,c_30]) ).
tff(c_145548,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_145372]) ).
tff(c_145563,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145344,c_145548,c_46]) ).
tff(c_145564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145361,c_204,c_200,c_142504,c_145563]) ).
tff(c_145565,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_142497]) ).
tff(c_145571,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145565,c_102]) ).
tff(c_145572,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145565,c_100]) ).
tff(c_146757,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107839,c_2]) ).
tff(c_146758,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_146757]) ).
tff(c_146761,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146758,c_146]) ).
tff(c_146760,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146758,c_148]) ).
tff(c_146782,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_92]) ).
tff(c_146783,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_146782]) ).
tff(c_146789,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146783,c_178]) ).
tff(c_145569,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145565,c_170]) ).
tff(c_146794,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_146789,c_136421,c_145569,c_14]) ).
tff(c_146799,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146794,c_114]) ).
tff(c_146787,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146783,c_138]) ).
tff(c_145578,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_4]) ).
tff(c_145579,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_145578]) ).
tff(c_145582,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145579,c_160]) ).
tff(c_146100,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_80]) ).
tff(c_146101,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_145582,c_146100]) ).
tff(c_146102,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_146101]) ).
tff(c_146106,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146102,c_128]) ).
tff(c_145602,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_142489,c_32]) ).
tff(c_145603,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_145602]) ).
tff(c_145608,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145603,c_192]) ).
tff(c_145581,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145579,c_158]) ).
tff(c_145613,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_64]) ).
tff(c_145614,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_145581,c_145613]) ).
tff(c_145615,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_145614]) ).
tff(c_145881,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145603,c_142481,c_107834,c_82]) ).
tff(c_145882,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_145881]) ).
tff(c_145950,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_145615,c_136416,c_136416,c_145882,c_145615,c_136416,c_718]) ).
tff(c_145951,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_145614]) ).
tff(c_145955,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145951,c_150]) ).
tff(c_145976,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_145955,c_136415,c_18]) ).
tff(c_145977,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_145976]) ).
tff(c_145991,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_145977,c_68]) ).
tff(c_145992,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_145991]) ).
tff(c_145993,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_145992]) ).
tff(c_146022,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_145993,c_136416,c_145977,c_80]) ).
tff(c_146023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_145582,c_204,c_146022]) ).
tff(c_146025,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_145992]) ).
tff(c_146049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145608,c_107841,c_128065,c_146025,c_24]) ).
tff(c_146050,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_145976]) ).
tff(c_146065,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146050,c_128]) ).
tff(c_146073,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145608,c_107841,c_128065,c_146065,c_24]) ).
tff(c_146074,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_145602]) ).
tff(c_145590,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_92]) ).
tff(c_145591,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_145590]) ).
tff(c_145594,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145591,c_136]) ).
tff(c_146086,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_145565,c_145579,c_40]) ).
tff(c_146087,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_146086]) ).
tff(c_146093,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146087,c_152]) ).
tff(c_146078,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146074,c_140]) ).
tff(c_146135,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_145594,c_146093,c_146078,c_26]) ).
tff(c_146125,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_145582,c_136420,c_20]) ).
tff(c_146126,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_146125]) ).
tff(c_146130,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146126,c_162]) ).
tff(c_146149,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_145581,c_146130,c_142485,c_12]) ).
tff(c_145583,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145579,c_164]) ).
tff(c_145595,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_145591,c_138]) ).
tff(c_146079,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146074,c_142]) ).
tff(c_146114,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_145583,c_145595,c_146079,c_28]) ).
tff(c_146276,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146074,c_146135,c_146135,c_146149,c_146114,c_146114,c_136416,c_145591,c_145591,c_146074,c_146102,c_146102,c_714]) ).
tff(c_146277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_202,c_196,c_146276]) ).
tff(c_146278,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_146125]) ).
tff(c_146282,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146278,c_122]) ).
tff(c_146289,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_146106,c_136415,c_146282,c_18]) ).
tff(c_146283,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146278,c_162]) ).
tff(c_146301,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_145581,c_142485,c_146283,c_12]) ).
tff(c_588,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e1,e3),op(e1,e3)) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_146449,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_146289,c_146289,c_146301,c_146114,c_146114,c_136416,c_145591,c_145591,c_146087,c_146074,c_146074,c_588]) ).
tff(c_146450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_202,c_146449]) ).
tff(c_146451,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_146101]) ).
tff(c_146457,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146451,c_156]) ).
tff(c_146500,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_145583,c_145595,c_146079,c_28]) ).
tff(c_146511,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146074,c_145591,c_146500,c_96]) ).
tff(c_146512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_146457,c_146511]) ).
tff(c_146514,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_145590]) ).
tff(c_146536,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_142481,c_64]) ).
tff(c_146537,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_145581,c_146536]) ).
tff(c_146538,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_146537]) ).
tff(c_146577,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_146538,c_145565,c_74]) ).
tff(c_146578,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146514,c_198,c_204,c_196,c_146577]) ).
tff(c_146579,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_146537]) ).
tff(c_145584,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_145579,c_98]) ).
tff(c_146526,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_145584,c_107839,c_145572,c_2]) ).
tff(c_146754,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146579,c_146526,c_146526,c_107834,c_146579,c_146526,c_728]) ).
tff(c_146755,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_145578]) ).
tff(c_146771,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_145571,c_146755]) ).
tff(c_146777,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_146771,c_164]) ).
tff(c_147258,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_146787,c_146777,c_28]) ).
tff(c_147259,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_147258]) ).
tff(c_146804,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_146760,c_136415,c_18]) ).
tff(c_146805,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_146804]) ).
tff(c_146816,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_146805,c_80]) ).
tff(c_146817,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_146816]) ).
tff(c_146818,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_146817]) ).
tff(c_146821,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146818,c_130]) ).
tff(c_146810,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146805,c_122]) ).
tff(c_146809,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146805,c_150]) ).
tff(c_146762,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146758,c_152]) ).
tff(c_146786,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_146783,c_136]) ).
tff(c_146855,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_146762,c_146786,c_26]) ).
tff(c_146856,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_146855]) ).
tff(c_146893,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146856,c_146805,c_146758,c_34]) ).
tff(c_146894,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_146893]) ).
tff(c_146822,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_146818,c_192]) ).
tff(c_146885,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_146822,c_107842,c_142489,c_32]) ).
tff(c_146844,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_146787,c_146777,c_28]) ).
tff(c_146845,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_146844]) ).
tff(c_146984,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146758,c_146894,c_146894,c_146885,c_146845,c_146845,c_146758,c_145565,c_145565,c_136416,c_107834,c_107834,c_430]) ).
tff(c_146985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_200,c_194,c_146984]) ).
tff(c_146986,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_146855]) ).
tff(c_146992,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_146986,c_154]) ).
tff(c_147014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146761,c_146809,c_142486,c_146992,c_10]) ).
tff(c_147015,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_146844]) ).
tff(c_147021,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147015,c_168]) ).
tff(c_147038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146821,c_146810,c_136420,c_147021,c_20]) ).
tff(c_147040,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_146817]) ).
tff(c_147110,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_147040,c_107841,c_128065,c_24]) ).
tff(c_147190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_146794,c_136416,c_136416,c_147110,c_146794,c_136416,c_718]) ).
tff(c_147191,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_146804]) ).
tff(c_147217,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_147191,c_76]) ).
tff(c_147218,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107841,c_198,c_196,c_147217]) ).
tff(c_147301,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147259,c_147218,c_146771,c_50]) ).
tff(c_147302,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_147301]) ).
tff(c_147198,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147191,c_156]) ).
tff(c_147248,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_146762,c_146786,c_147198,c_26]) ).
tff(c_147236,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_147218,c_147191,c_80]) ).
tff(c_147237,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_147236]) ).
tff(c_147280,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147237,c_142481,c_107834,c_82]) ).
tff(c_147281,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_147280]) ).
tff(c_626,plain,
( ( op(op(e1,e0),op(e1,e0)) = e1 )
| ( op(op(e3,e1),op(e3,e1)) = e3 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_147376,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147302,c_147248,c_147248,c_146758,c_147302,c_147302,c_146758,c_145565,c_145565,c_147281,c_147237,c_147237,c_626]) ).
tff(c_147377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_200,c_196,c_147376]) ).
tff(c_147378,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_147258]) ).
tff(c_147393,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147378,c_147218,c_146771,c_62]) ).
tff(c_147394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_146799,c_202,c_147393]) ).
tff(c_147395,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_146782]) ).
tff(c_147409,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_147395]) ).
tff(c_147415,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147409,c_156]) ).
tff(c_147414,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147409,c_154]) ).
tff(c_147484,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_146761,c_147414,c_142486,c_10]) ).
tff(c_147488,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147484,c_150]) ).
tff(c_147529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146760,c_147415,c_136415,c_147488,c_18]) ).
tff(c_147530,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_147395]) ).
tff(c_147537,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147530,c_168]) ).
tff(c_147397,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_80]) ).
tff(c_147398,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_146760,c_147397]) ).
tff(c_147399,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_147398]) ).
tff(c_147815,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147399,c_136416,c_76]) ).
tff(c_147816,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_147537,c_147815]) ).
tff(c_147820,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147816,c_150]) ).
tff(c_147403,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147399,c_130]) ).
tff(c_147565,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_146761,c_142486,c_10]) ).
tff(c_147566,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_147565]) ).
tff(c_147569,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147566,c_150]) ).
tff(c_147597,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_146760,c_147569,c_136415,c_18]) ).
tff(c_147601,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147597,c_122]) ).
tff(c_147632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147403,c_147537,c_136420,c_147601,c_20]) ).
tff(c_147633,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_147565]) ).
tff(c_145570,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_145565,c_176]) ).
tff(c_147542,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147530,c_84]) ).
tff(c_147543,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_145570,c_196,c_147542]) ).
tff(c_147544,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_147543]) ).
tff(c_147645,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147633,c_146758,c_38]) ).
tff(c_147646,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_136415,c_194,c_202,c_147645]) ).
tff(c_147693,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147544,c_147530,c_147646,c_96]) ).
tff(c_147694,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_147693]) ).
tff(c_147801,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146758,c_147633,c_147633,c_136416,c_147530,c_147530,c_147544,c_147694,c_147694,c_136416,c_107834,c_107834,c_454]) ).
tff(c_147802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_200,c_194,c_147801]) ).
tff(c_147803,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_147543]) ).
tff(c_147809,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147803,c_154]) ).
tff(c_147839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146761,c_147820,c_142486,c_147809,c_10]) ).
tff(c_147841,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_147398]) ).
tff(c_147889,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_146761,c_142486,c_10]) ).
tff(c_147890,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_147889]) ).
tff(c_147893,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147890,c_150]) ).
tff(c_147840,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_147398]) ).
tff(c_147901,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_136416,c_147840,c_76]) ).
tff(c_147902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107841,c_198,c_204,c_147893,c_147901]) ).
tff(c_147903,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_147889]) ).
tff(c_147919,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147903,c_154]) ).
tff(c_147851,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_147395]) ).
tff(c_147856,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147851,c_154]) ).
tff(c_147857,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_147851,c_156]) ).
tff(c_147862,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_146760,c_136415,c_18]) ).
tff(c_147863,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_147862]) ).
tff(c_147864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_147857,c_147863]) ).
tff(c_147865,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_147862]) ).
tff(c_147871,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_147865,c_150]) ).
tff(c_147876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_146761,c_147856,c_142486,c_147871,c_10]) ).
tff(c_147877,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_147395]) ).
tff(c_147926,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147877,c_84]) ).
tff(c_147927,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_145570,c_196,c_147919,c_147926]) ).
tff(c_147950,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147927,c_142481,c_107834,c_94]) ).
tff(c_147951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_147841,c_202,c_204,c_147950]) ).
tff(c_147952,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_146757]) ).
tff(c_147954,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_145572,c_147952]) ).
tff(c_147961,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147954,c_98]) ).
tff(c_147978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_145571,c_147961,c_146755]) ).
tff(c_147980,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_136414]) ).
tff(c_148005,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147980,c_118803]) ).
tff(c_148006,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_148005]) ).
tff(c_148009,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_132]) ).
tff(c_148736,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107841,c_128065,c_148009,c_24]) ).
tff(c_148740,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148736,c_186]) ).
tff(c_148011,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_174]) ).
tff(c_148029,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_148011,c_14]) ).
tff(c_148030,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_148029]) ).
tff(c_148035,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148030,c_178]) ).
tff(c_147996,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147992,c_152]) ).
tff(c_148041,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_148035,c_147996,c_96]) ).
tff(c_148042,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_148041]) ).
tff(c_148047,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148042,c_192]) ).
tff(c_147979,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_136414]) ).
tff(c_148010,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_124]) ).
tff(c_148018,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_147994,c_136415,c_148010,c_18]) ).
tff(c_148066,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_147979,c_148018,c_80]) ).
tff(c_148067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148047,c_200,c_202,c_204,c_148066]) ).
tff(c_148068,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_148041]) ).
tff(c_147998,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147992,c_98]) ).
tff(c_147983,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147979,c_160]) ).
tff(c_148357,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_147998,c_107838,c_147983,c_4]) ).
tff(c_148408,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148068,c_147979,c_148357,c_58]) ).
tff(c_148409,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_148408]) ).
tff(c_148034,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148030,c_120]) ).
tff(c_147997,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147992,c_100]) ).
tff(c_148012,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_172]) ).
tff(c_148091,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_147997,c_107837,c_148012,c_6]) ).
tff(c_148095,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148091,c_176]) ).
tff(c_148305,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148068,c_88]) ).
tff(c_148306,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_148095,c_202,c_148305]) ).
tff(c_148307,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_148306]) ).
tff(c_148312,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148307,c_190]) ).
tff(c_147995,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_147992,c_146]) ).
tff(c_148023,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148018,c_150]) ).
tff(c_148105,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_147995,c_148023,c_10]) ).
tff(c_148106,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_148105]) ).
tff(c_148109,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148106,c_154]) ).
tff(c_148036,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148030,c_114]) ).
tff(c_147984,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147979,c_162]) ).
tff(c_148116,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_147998,c_107838,c_147983,c_4]) ).
tff(c_148120,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148116,c_158]) ).
tff(c_148183,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_148036,c_147984,c_148120,c_12]) ).
tff(c_148069,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_148041]) ).
tff(c_148125,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_148069,c_107842,c_32]) ).
tff(c_148126,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_148125]) ).
tff(c_148110,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148106,c_116]) ).
tff(c_148166,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_148034,c_107840,c_148110,c_16]) ).
tff(c_448,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e2,e3),op(e2,e3)) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_148267,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148183,c_148106,c_148106,c_148126,c_148068,c_148068,c_147992,c_148006,c_148006,c_147992,c_148166,c_148166,c_448]) ).
tff(c_148268,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_204,c_202,c_148267]) ).
tff(c_148269,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_148125]) ).
tff(c_148289,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148269,c_148068,c_88]) ).
tff(c_148290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_148095,c_202,c_148109,c_148289]) ).
tff(c_148291,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_148105]) ).
tff(c_148296,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148291,c_116]) ).
tff(c_148330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148034,c_107840,c_148312,c_148296,c_16]) ).
tff(c_148331,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_148306]) ).
tff(c_148013,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_180]) ).
tff(c_148344,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_148035,c_148095,c_148013,c_30]) ).
tff(c_148332,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_148306]) ).
tff(c_148376,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_148069,c_107842,c_148332,c_32]) ).
tff(c_148080,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_147979,c_148018,c_80]) ).
tff(c_148081,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_148080]) ).
tff(c_148482,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148409,c_148331,c_148331,c_148006,c_148409,c_148409,c_148006,c_148344,c_148344,c_148376,c_148081,c_148081,c_650]) ).
tff(c_148483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_200,c_196,c_148482]) ).
tff(c_148484,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_148029]) ).
tff(c_148486,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_148484]) ).
tff(c_148491,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148486,c_120]) ).
tff(c_148566,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107840,c_148491,c_16]) ).
tff(c_148567,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_148566]) ).
tff(c_148572,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148567,c_186]) ).
tff(c_148592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148572,c_107841,c_128065,c_148009,c_24]) ).
tff(c_148593,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_148566]) ).
tff(c_148601,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148593,c_190]) ).
tff(c_148498,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_147996,c_96]) ).
tff(c_148499,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_148498]) ).
tff(c_148503,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148499,c_144]) ).
tff(c_148533,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_148486,c_78]) ).
tff(c_148534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148503,c_200,c_202,c_147997,c_148533]) ).
tff(c_148535,plain,
( ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_148498]) ).
tff(c_148537,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_148535]) ).
tff(c_148540,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148537,c_138]) ).
tff(c_148548,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_148486,c_78]) ).
tff(c_148549,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148540,c_200,c_202,c_147997,c_148548]) ).
tff(c_148550,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_148535]) ).
tff(c_148024,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148018,c_156]) ).
tff(c_148606,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148550,c_92]) ).
tff(c_148607,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107842,c_204,c_148024,c_148606]) ).
tff(c_148489,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148486,c_112]) ).
tff(c_148620,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148018,c_147992,c_38]) ).
tff(c_148621,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_148489,c_202,c_148620]) ).
tff(c_148630,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148550,c_148607,c_148621,c_84]) ).
tff(c_148631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148601,c_200,c_196,c_194,c_148630]) ).
tff(c_148632,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_148484]) ).
tff(c_148682,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_147995,c_148023,c_10]) ).
tff(c_148683,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_148682]) ).
tff(c_148762,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148632,c_148683,c_64]) ).
tff(c_148763,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_148740,c_204,c_202,c_148762]) ).
tff(c_148687,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_148683,c_116]) ).
tff(c_148773,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_148740,c_107840,c_148687,c_16]) ).
tff(c_148907,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148763,c_148683,c_148683,c_148763,c_147979,c_147979,c_148006,c_148632,c_148632,c_147992,c_148773,c_148773,c_408]) ).
tff(c_148908,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_194,c_202,c_148907]) ).
tff(c_148909,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_148682]) ).
tff(c_148914,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148909,c_116]) ).
tff(c_147986,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_147979,c_168]) ).
tff(c_148646,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_147998,c_107838,c_147983,c_4]) ).
tff(c_148651,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148646,c_164]) ).
tff(c_148959,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_147986,c_148651,c_28]) ).
tff(c_148960,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_148959]) ).
tff(c_148964,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148960,c_166]) ).
tff(c_148640,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_148632,c_114]) ).
tff(c_148650,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_148646,c_158]) ).
tff(c_148977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148964,c_148640,c_147984,c_148650,c_12]) ).
tff(c_148978,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_148959]) ).
tff(c_148995,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_148640,c_147984,c_148650,c_12]) ).
tff(c_148657,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_147997,c_107837,c_148012,c_6]) ).
tff(c_148666,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_32]) ).
tff(c_148667,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_148666]) ).
tff(c_148671,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_148667,c_144]) ).
tff(c_148678,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_148632,c_148657,c_78]) ).
tff(c_148679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_148671,c_200,c_204,c_202,c_148678]) ).
tff(c_148680,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_148666]) ).
tff(c_148921,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_148680]) ).
tff(c_148947,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148921,c_107834,c_86]) ).
tff(c_148948,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_128065,c_198,c_148947]) ).
tff(c_149113,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_148006,c_148018,c_148018,c_148006,c_148978,c_148978,c_148995,c_148657,c_148657,c_148995,c_148948,c_148948,c_560]) ).
tff(c_149114,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_200,c_202,c_149113]) ).
tff(c_149115,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_148680]) ).
tff(c_149131,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149115,c_107834,c_82]) ).
tff(c_149132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_148009,c_148914,c_196,c_149131]) ).
tff(c_149133,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_148005]) ).
tff(c_149147,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149133,c_147979,c_80]) ).
tff(c_149148,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_147994,c_149147]) ).
tff(c_149276,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_147986,c_28]) ).
tff(c_149277,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_149276]) ).
tff(c_149281,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149277,c_166]) ).
tff(c_149152,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149148,c_186]) ).
tff(c_149158,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_149152,c_107840,c_16]) ).
tff(c_149159,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_149158]) ).
tff(c_149139,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149133,c_174]) ).
tff(c_149174,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149159,c_120]) ).
tff(c_149204,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149139,c_149174,c_14]) ).
tff(c_149205,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_149204]) ).
tff(c_149209,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149205,c_178]) ).
tff(c_149141,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149133,c_180]) ).
tff(c_149180,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_147997,c_107837,c_6]) ).
tff(c_149181,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_149180]) ).
tff(c_149185,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149181,c_176]) ).
tff(c_149153,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149148,c_192]) ).
tff(c_149175,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149159,c_190]) ).
tff(c_149252,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_149153,c_107842,c_149175,c_32]) ).
tff(c_149256,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149252,c_144]) ).
tff(c_149261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149209,c_149141,c_149185,c_149256,c_30]) ).
tff(c_149262,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_149204]) ).
tff(c_149287,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149159,c_149262,c_64]) ).
tff(c_149288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_149281,c_147995,c_149287]) ).
tff(c_149289,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_149276]) ).
tff(c_149291,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_149289]) ).
tff(c_149306,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149291,c_164]) ).
tff(c_149329,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_149181,c_147992,c_36]) ).
tff(c_149330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_149306,c_200,c_149329]) ).
tff(c_149331,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_149289]) ).
tff(c_149173,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149159,c_116]) ).
tff(c_149138,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149133,c_124]) ).
tff(c_149160,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_147994,c_149138,c_136415,c_18]) ).
tff(c_149164,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149160,c_150]) ).
tff(c_149353,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_147995,c_149173,c_149164,c_10]) ).
tff(c_149373,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149159,c_149262,c_149353,c_64]) ).
tff(c_149374,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_149373]) ).
tff(c_149448,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_149331,c_149374,c_149374,c_149262,c_149331,c_149374,c_734]) ).
tff(c_149449,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_149180]) ).
tff(c_149461,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_149449,c_147992,c_40]) ).
tff(c_149462,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_147983,c_202,c_149461]) ).
tff(c_149463,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_149158]) ).
tff(c_149597,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149148,c_149463,c_107834,c_86]) ).
tff(c_149598,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_149597]) ).
tff(c_149470,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149463,c_190]) ).
tff(c_149570,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_147994,c_149138,c_136415,c_18]) ).
tff(c_149575,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149570,c_156]) ).
tff(c_149499,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_149153,c_147996,c_96]) ).
tff(c_149500,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_149499]) ).
tff(c_149506,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149500,c_178]) ).
tff(c_149476,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_147998,c_107838,c_147983,c_4]) ).
tff(c_149482,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149476,c_102]) ).
tff(c_149487,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_147997,c_107837,c_149482,c_6]) ).
tff(c_149491,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149487,c_170]) ).
tff(c_149469,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149463,c_120]) ).
tff(c_149545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149506,c_149139,c_149491,c_149469,c_14]) ).
tff(c_149546,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_149499]) ).
tff(c_149584,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149546,c_84]) ).
tff(c_149585,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_149470,c_200,c_149575,c_149584]) ).
tff(c_149611,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149598,c_149585,c_149546,c_92]) ).
tff(c_149612,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_149611]) ).
tff(c_149690,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_149612,c_147992,c_147992,c_149487,c_149612,c_147992,c_738]) ).
tff(c_149692,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_147991]) ).
tff(c_151412,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_48]) ).
tff(c_151413,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_149692,c_151412]) ).
tff(c_151414,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_151413]) ).
tff(c_151418,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151414,c_176]) ).
tff(c_151517,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147980,c_118803]) ).
tff(c_151518,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_151517]) ).
tff(c_151522,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_124]) ).
tff(c_151529,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_151522,c_18]) ).
tff(c_151530,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_151529]) ).
tff(c_151623,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_147979,c_151530,c_76]) ).
tff(c_151624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107841,c_196,c_198,c_204,c_151623]) ).
tff(c_151625,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_151529]) ).
tff(c_152059,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_147979,c_151625,c_80]) ).
tff(c_152060,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_152059]) ).
tff(c_151523,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_174]) ).
tff(c_149693,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_149696,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149693,c_170]) ).
tff(c_149695,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149693,c_112]) ).
tff(c_149699,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149693,c_114]) ).
tff(c_150541,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147980,c_118803]) ).
tff(c_150542,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_150541]) ).
tff(c_150547,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_150542,c_172]) ).
tff(c_149704,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107838,c_147983,c_4]) ).
tff(c_149705,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_149704]) ).
tff(c_149727,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147980,c_118803]) ).
tff(c_149728,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_149727]) ).
tff(c_149691,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_147991]) ).
tff(c_149716,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_149691]) ).
tff(c_149719,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149716,c_148]) ).
tff(c_149749,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_136415,c_149719,c_18]) ).
tff(c_149750,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_149749]) ).
tff(c_149753,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149750,c_128]) ).
tff(c_149742,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149728,c_132]) ).
tff(c_149848,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149753,c_107841,c_128065,c_149742,c_24]) ).
tff(c_149849,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_149749]) ).
tff(c_149861,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149728,c_147979,c_149849,c_80]) ).
tff(c_149862,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_149861]) ).
tff(c_149697,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149693,c_120]) ).
tff(c_149855,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_149849,c_150]) ).
tff(c_149720,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_149716,c_146]) ).
tff(c_149872,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_149695,c_149855,c_149720,c_10]) ).
tff(c_149877,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_149872,c_116]) ).
tff(c_149927,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_149697,c_107840,c_149877,c_16]) ).
tff(c_149937,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149862,c_149927,c_107834,c_86]) ).
tff(c_149938,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_149937]) ).
tff(c_149729,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_149705,c_149716,c_40]) ).
tff(c_149730,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_149729]) ).
tff(c_149893,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149728,c_149693,c_149730,c_74]) ).
tff(c_149894,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_149893]) ).
tff(c_150047,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_149728,c_149849,c_149849,c_149938,c_149705,c_149705,c_149728,c_149894,c_149894,c_149938,c_149862,c_149862,c_490]) ).
tff(c_150048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_198,c_150047]) ).
tff(c_150049,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_149727]) ).
tff(c_150062,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150049,c_147979,c_80]) ).
tff(c_150063,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_150062]) ).
tff(c_150064,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_150063]) ).
tff(c_150067,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150064,c_128]) ).
tff(c_150054,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150049,c_124]) ).
tff(c_150244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150067,c_150054,c_136415,c_149719,c_18]) ).
tff(c_150246,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_150063]) ).
tff(c_149698,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149693,c_178]) ).
tff(c_149709,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_149705,c_164]) ).
tff(c_150245,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_150063]) ).
tff(c_150252,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150245,c_156]) ).
tff(c_150257,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_149697,c_107840,c_16]) ).
tff(c_150258,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_150257]) ).
tff(c_150264,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150258,c_190]) ).
tff(c_150287,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_150264,c_32]) ).
tff(c_150288,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_150287]) ).
tff(c_150056,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150049,c_180]) ).
tff(c_150269,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_149705,c_149716,c_40]) ).
tff(c_150270,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_150269]) ).
tff(c_150274,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150270,c_176]) ).
tff(c_150323,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_149698,c_150056,c_150274,c_30]) ).
tff(c_150347,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_150246,c_107841,c_128065,c_24]) ).
tff(c_150438,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150288,c_150245,c_150245,c_150288,c_149705,c_149705,c_149716,c_150323,c_150323,c_149716,c_150347,c_150347,c_490]) ).
tff(c_150439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_196,c_150438]) ).
tff(c_150440,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_150287]) ).
tff(c_150453,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150440,c_96]) ).
tff(c_150454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_149698,c_149709,c_150252,c_150453]) ).
tff(c_150455,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_150257]) ).
tff(c_150482,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150455,c_107834,c_94]) ).
tff(c_150483,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_150246,c_200,c_204,c_150482]) ).
tff(c_150526,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150483,c_150455,c_107834,c_86]) ).
tff(c_150527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_128065,c_194,c_198,c_150526]) ).
tff(c_150528,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_149691]) ).
tff(c_150700,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_149705,c_150528,c_36]) ).
tff(c_150701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_150547,c_200,c_194,c_150700]) ).
tff(c_150702,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_150541]) ).
tff(c_150717,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_149697,c_107840,c_16]) ).
tff(c_150718,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_150717]) ).
tff(c_150724,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150718,c_190]) ).
tff(c_150729,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_150724,c_32]) ).
tff(c_150730,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_150729]) ).
tff(c_150733,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150730,c_140]) ).
tff(c_150709,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150702,c_180]) ).
tff(c_150756,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150730,c_92]) ).
tff(c_150757,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_150709,c_150756]) ).
tff(c_150758,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_150757]) ).
tff(c_150761,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_150758,c_134]) ).
tff(c_150534,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150528,c_152]) ).
tff(c_150736,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_150730,c_192]) ).
tff(c_150743,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150702,c_147979,c_80]) ).
tff(c_150744,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_150736,c_204,c_202,c_150743]) ).
tff(c_150780,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150744,c_150528,c_34]) ).
tff(c_150781,plain,
( ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_150780]) ).
tff(c_150782,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_150781]) ).
tff(c_150834,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150782,c_150744,c_150528,c_42]) ).
tff(c_150835,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_150834]) ).
tff(c_150858,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150718,c_149693,c_150835,c_52]) ).
tff(c_150859,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_150858]) ).
tff(c_664,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e1,e2),op(e1,e2)) = e1 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_150917,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150528,c_150782,c_150782,c_150859,c_147979,c_147979,c_150730,c_149693,c_149693,c_150859,c_150718,c_150718,c_664]) ).
tff(c_150918,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_202,c_194,c_150917]) ).
tff(c_150920,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_150781]) ).
tff(c_150931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_150733,c_150761,c_150534,c_150920,c_26]) ).
tff(c_150932,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_150757]) ).
tff(c_150933,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_150757]) ).
tff(c_150965,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_149709,c_150933,c_147986,c_28]) ).
tff(c_151031,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150965,c_147979,c_149705,c_58]) ).
tff(c_151032,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_151031]) ).
tff(c_150986,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150730,c_150965,c_150932,c_88]) ).
tff(c_150987,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_150986]) ).
tff(c_648,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_151088,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_150702,c_150932,c_150932,c_150702,c_151032,c_151032,c_151032,c_150987,c_150987,c_151032,c_150718,c_150718,c_648]) ).
tff(c_151089,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_204,c_198,c_151088]) ).
tff(c_151090,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_150729]) ).
tff(c_151102,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151090,c_96]) ).
tff(c_151103,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_149698,c_149709,c_151102]) ).
tff(c_151152,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151090,c_151103,c_88]) ).
tff(c_151153,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_147986,c_202,c_151152]) ).
tff(c_151244,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_151090,c_151090,c_151153,c_107834,c_151090,c_732]) ).
tff(c_151245,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_150717]) ).
tff(c_151249,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151245,c_118]) ).
tff(c_151287,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_149699,c_147984,c_151249,c_12]) ).
tff(c_151291,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_151287,c_110]) ).
tff(c_150533,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_150528,c_146]) ).
tff(c_151250,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151245,c_116]) ).
tff(c_151346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_149695,c_151291,c_150533,c_151250,c_10]) ).
tff(c_151347,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_149704]) ).
tff(c_151354,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151347,c_98]) ).
tff(c_151372,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_151354,c_149691]) ).
tff(c_151408,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_151347,c_151372,c_48]) ).
tff(c_151409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_149696,c_200,c_202,c_151408]) ).
tff(c_151410,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_151637,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_151523,c_151410]) ).
tff(c_151638,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_151637]) ).
tff(c_151649,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151638,c_64]) ).
tff(c_151650,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_151649]) ).
tff(c_151651,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_151650]) ).
tff(c_151656,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151651,c_186]) ).
tff(c_151690,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_147979,c_151625,c_80]) ).
tff(c_151691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151656,c_200,c_202,c_204,c_151690]) ).
tff(c_151692,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_151650]) ).
tff(c_151732,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_151692]) ).
tff(c_151419,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_151414,c_102]) ).
tff(c_151425,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_149691]) ).
tff(c_151431,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151425,c_98]) ).
tff(c_151503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151419,c_107838,c_147983,c_151431,c_4]) ).
tff(c_151504,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_149691]) ).
tff(c_151941,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_151732,c_151504,c_151504,c_107834,c_151732,c_151504,c_728]) ).
tff(c_151943,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_151692]) ).
tff(c_151524,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_180]) ).
tff(c_151643,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151638,c_178]) ).
tff(c_151510,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151504,c_152]) ).
tff(c_151721,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_151643,c_147986,c_151510,c_88]) ).
tff(c_151953,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151721,c_84]) ).
tff(c_151954,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_151524,c_151953]) ).
tff(c_151955,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_151954]) ).
tff(c_151957,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151955,c_134]) ).
tff(c_151642,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151638,c_120]) ).
tff(c_151694,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107840,c_151642,c_16]) ).
tff(c_151695,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_151694]) ).
tff(c_151693,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_151650]) ).
tff(c_151707,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_151695,c_151693]) ).
tff(c_151708,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_151694]) ).
tff(c_151714,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_151708,c_116]) ).
tff(c_151985,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151625,c_151504,c_34]) ).
tff(c_151986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151957,c_196,c_151714,c_194,c_151985]) ).
tff(c_151987,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_151954]) ).
tff(c_152013,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151987,c_151625,c_151504,c_46]) ).
tff(c_152014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_151943,c_202,c_152013]) ).
tff(c_152015,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_151637]) ).
tff(c_152021,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152015,c_178]) ).
tff(c_152044,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107840,c_16]) ).
tff(c_152045,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_152044]) ).
tff(c_152027,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152015,c_64]) ).
tff(c_152028,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_152027]) ).
tff(c_152029,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_152028]) ).
tff(c_152033,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152029,c_186]) ).
tff(c_152040,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_151518,c_147979,c_151625,c_80]) ).
tff(c_152041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152033,c_200,c_202,c_204,c_152040]) ).
tff(c_152043,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_152028]) ).
tff(c_152056,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152045,c_152043]) ).
tff(c_152057,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_152044]) ).
tff(c_152071,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_152057]) ).
tff(c_152244,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152060,c_152071,c_107834,c_86]) ).
tff(c_152245,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_152244]) ).
tff(c_152249,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_152245,c_144]) ).
tff(c_152254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151418,c_152021,c_152249,c_151524,c_30]) ).
tff(c_152255,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_152057]) ).
tff(c_152342,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152060,c_152255,c_107834,c_82]) ).
tff(c_152343,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_152342]) ).
tff(c_152331,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_151418,c_152021,c_151524,c_30]) ).
tff(c_152444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_152343,c_152343,c_152331,c_107834,c_152343,c_732]) ).
tff(c_152445,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_151517]) ).
tff(c_152452,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_180]) ).
tff(c_152470,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_32]) ).
tff(c_152471,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_152470]) ).
tff(c_152476,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152471,c_192]) ).
tff(c_152450,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_124]) ).
tff(c_152484,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_152450,c_136415,c_18]) ).
tff(c_152485,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_152484]) ).
tff(c_152492,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152485,c_150]) ).
tff(c_151509,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_151504,c_146]) ).
tff(c_152451,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_174]) ).
tff(c_152458,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_152451,c_151410]) ).
tff(c_152459,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_152458]) ).
tff(c_152462,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152459,c_112]) ).
tff(c_152590,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_152492,c_151509,c_152462,c_10]) ).
tff(c_152666,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_152590,c_151504,c_151504,c_151414,c_152590,c_151504,c_740]) ).
tff(c_152667,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_152484]) ).
tff(c_152763,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_147979,c_152667,c_80]) ).
tff(c_152764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152476,c_204,c_202,c_200,c_152763]) ).
tff(c_152765,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_152470]) ).
tff(c_152767,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_152765]) ).
tff(c_152779,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152767,c_107834,c_94]) ).
tff(c_152780,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_152779]) ).
tff(c_152781,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_152780]) ).
tff(c_152786,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152781,c_186]) ).
tff(c_152791,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152459,c_64]) ).
tff(c_152792,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_152786,c_200,c_152791]) ).
tff(c_152793,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_152792]) ).
tff(c_152798,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152793,c_166]) ).
tff(c_152771,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152767,c_142]) ).
tff(c_152830,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_152798,c_147986,c_152771,c_28]) ).
tff(c_152856,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152767,c_152830,c_88]) ).
tff(c_152857,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_151510,c_152856]) ).
tff(c_152937,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_152767,c_152767,c_152857,c_107834,c_152767,c_732]) ).
tff(c_152938,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_152792]) ).
tff(c_152953,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_152938,c_154]) ).
tff(c_152970,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_147986,c_152771,c_28]) ).
tff(c_152971,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_152970]) ).
tff(c_153005,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152767,c_152971,c_88]) ).
tff(c_153006,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_151510,c_153005]) ).
tff(c_153081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_152767,c_152767,c_153006,c_107834,c_152767,c_732]) ).
tff(c_153082,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_152970]) ).
tff(c_153086,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153082,c_134]) ).
tff(c_152770,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152767,c_140]) ).
tff(c_153097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_152953,c_153086,c_151510,c_152770,c_26]) ).
tff(c_153098,plain,
op(e2,e0) = e0,
inference(splitRight,[status(thm)],[c_152780]) ).
tff(c_153102,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153098,c_118]) ).
tff(c_153103,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153098,c_116]) ).
tff(c_153132,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_153103,c_151509,c_152462,c_10]) ).
tff(c_153137,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_153132,c_110]) ).
tff(c_152465,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152459,c_114]) ).
tff(c_153153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153102,c_153137,c_147984,c_152465,c_12]) ).
tff(c_153154,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_152765]) ).
tff(c_153160,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153154,c_144]) ).
tff(c_152464,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_152459,c_178]) ).
tff(c_153206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151418,c_152452,c_153160,c_152464,c_30]) ).
tff(c_153207,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_152458]) ).
tff(c_153220,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_147979,c_80]) ).
tff(c_153221,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_153220]) ).
tff(c_153222,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_153221]) ).
tff(c_153225,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153222,c_128]) ).
tff(c_153227,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153222,c_192]) ).
tff(c_153234,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_153227,c_107842,c_32]) ).
tff(c_153235,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_153234]) ).
tff(c_153505,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153235,c_153222,c_107834,c_82]) ).
tff(c_153506,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_153505]) ).
tff(c_153226,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153222,c_186]) ).
tff(c_153246,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153207,c_64]) ).
tff(c_153247,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_153226,c_202,c_153246]) ).
tff(c_153248,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_153247]) ).
tff(c_153253,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153248,c_110]) ).
tff(c_153264,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_153253,c_151509,c_10]) ).
tff(c_153265,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_153264]) ).
tff(c_153392,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153265,c_151504,c_151504,c_151414,c_153265,c_151504,c_740]) ).
tff(c_153393,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_153264]) ).
tff(c_153398,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153393,c_150]) ).
tff(c_153422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153225,c_152450,c_136415,c_153398,c_18]) ).
tff(c_153423,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_153247]) ).
tff(c_153427,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153423,c_154]) ).
tff(c_153459,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153235,c_84]) ).
tff(c_153460,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_153459]) ).
tff(c_153461,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_153460]) ).
tff(c_153465,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153461,c_136]) ).
tff(c_153520,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_153427,c_151510,c_153465,c_26]) ).
tff(c_153593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_153506,c_153235,c_153235,c_153520,c_153506,c_153235,c_756]) ).
tff(c_153594,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_153460]) ).
tff(c_153596,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_153594]) ).
tff(c_153601,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153596,c_156]) ).
tff(c_153606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153225,c_152450,c_136415,c_153601,c_18]) ).
tff(c_153607,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_153594]) ).
tff(c_153424,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_153247]) ).
tff(c_153440,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_153424,c_147984,c_12]) ).
tff(c_153441,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_153440]) ).
tff(c_153627,plain,
( ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153607,c_147979,c_153441,c_62]) ).
tff(c_153628,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_151419,c_153627]) ).
tff(c_153629,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_153440]) ).
tff(c_153633,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153629,c_158]) ).
tff(c_153658,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151419,c_107838,c_147983,c_153633,c_4]) ).
tff(c_153659,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_153234]) ).
tff(c_153665,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153659,c_144]) ).
tff(c_153702,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_153207,c_151414,c_66]) ).
tff(c_153703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153665,c_196,c_194,c_200,c_153702]) ).
tff(c_153704,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_153221]) ).
tff(c_153709,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153704,c_150]) ).
tff(c_154072,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153207,c_64]) ).
tff(c_154073,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_153709,c_154072]) ).
tff(c_154074,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_154073]) ).
tff(c_154077,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154074,c_118]) ).
tff(c_153213,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153207,c_178]) ).
tff(c_153705,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_153221]) ).
tff(c_153717,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_32]) ).
tff(c_153718,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_153717]) ).
tff(c_153724,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_153718,c_190]) ).
tff(c_153212,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_153207,c_120]) ).
tff(c_153729,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_153724,c_107840,c_153212,c_16]) ).
tff(c_153735,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153729,c_186]) ).
tff(c_153818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_153705,c_107841,c_128065,c_153735,c_24]) ).
tff(c_153819,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_153717]) ).
tff(c_153821,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_153819]) ).
tff(c_153826,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_153821,c_144]) ).
tff(c_153847,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151418,c_152452,c_153213,c_153826,c_30]) ).
tff(c_153848,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_153819]) ).
tff(c_153866,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_147986,c_28]) ).
tff(c_153867,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_153866]) ).
tff(c_153889,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_151418,c_152452,c_153213,c_30]) ).
tff(c_154068,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153848,c_153704,c_153704,c_153848,c_153867,c_153867,c_151504,c_153889,c_153889,c_152445,c_107834,c_107834,c_582]) ).
tff(c_154069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_202,c_196,c_154068]) ).
tff(c_154070,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_153866]) ).
tff(c_154084,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_154070]) ).
tff(c_154088,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154084,c_138]) ).
tff(c_154117,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_152445,c_153207,c_151414,c_66]) ).
tff(c_154118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154088,c_196,c_194,c_200,c_154117]) ).
tff(c_154119,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_154070]) ).
tff(c_154125,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154119,c_166]) ).
tff(c_154132,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_154077,c_154125,c_147984,c_12]) ).
tff(c_154136,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154132,c_158]) ).
tff(c_154173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151419,c_107838,c_147983,c_154136,c_4]) ).
tff(c_154174,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_154073]) ).
tff(c_154176,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_153709,c_151509,c_10]) ).
tff(c_154177,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_154176]) ).
tff(c_154208,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153207,c_154174,c_154177,c_52]) ).
tff(c_154209,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_154208]) ).
tff(c_154220,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153848,c_154209,c_107834,c_94]) ).
tff(c_154221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_153705,c_200,c_204,c_154220]) ).
tff(c_154222,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_154176]) ).
tff(c_154269,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_153207,c_154174,c_154222,c_60]) ).
tff(c_154270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107840,c_198,c_204,c_196,c_154269]) ).
tff(c_154272,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_151413]) ).
tff(c_118804,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_155198,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147979,c_80]) ).
tff(c_155199,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_118804,c_202,c_155198]) ).
tff(c_155200,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_155199]) ).
tff(c_155204,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155200,c_128]) ).
tff(c_154296,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_151410]) ).
tff(c_154298,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154296,c_174]) ).
tff(c_154444,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_154298,c_147980,c_118803]) ).
tff(c_154271,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_151413]) ).
tff(c_154275,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154271,c_158]) ).
tff(c_154308,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_94]) ).
tff(c_154309,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_154308]) ).
tff(c_154310,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_154309]) ).
tff(c_154314,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154310,c_144]) ).
tff(c_154323,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_154298,c_147980,c_118803]) ).
tff(c_154285,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_149691]) ).
tff(c_154415,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_154271,c_154285,c_40]) ).
tff(c_154416,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_154415]) ).
tff(c_154427,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154323,c_154296,c_154416,c_78]) ).
tff(c_154428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154314,c_204,c_200,c_202,c_154427]) ).
tff(c_154430,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_154309]) ).
tff(c_154276,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154271,c_164]) ).
tff(c_154456,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_154430,c_154276,c_96]) ).
tff(c_154457,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_154456]) ).
tff(c_154479,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154457,c_92]) ).
tff(c_154480,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_204,c_154479]) ).
tff(c_154481,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_154480]) ).
tff(c_154486,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154481,c_166]) ).
tff(c_154303,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154296,c_114]) ).
tff(c_154491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154275,c_154486,c_147984,c_154303,c_12]) ).
tff(c_154492,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_154480]) ).
tff(c_154540,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154457,c_154492,c_88]) ).
tff(c_154541,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_147986,c_198,c_154540]) ).
tff(c_154503,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_154275,c_147984,c_154303,c_12]) ).
tff(c_154647,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154444,c_154492,c_154492,c_154541,c_154271,c_154271,c_154541,c_154457,c_154457,c_154503,c_154541,c_154541,c_620]) ).
tff(c_154648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_202,c_204,c_154647]) ).
tff(c_154649,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_154456]) ).
tff(c_154656,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154649,c_156]) ).
tff(c_154449,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154444,c_124]) ).
tff(c_154288,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154285,c_148]) ).
tff(c_154674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154656,c_154449,c_136415,c_154288,c_18]) ).
tff(c_154675,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_151410]) ).
tff(c_154677,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_154675]) ).
tff(c_154684,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154677,c_178]) ).
tff(c_154680,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154677,c_174]) ).
tff(c_155210,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_147980,c_154680,c_118803]) ).
tff(c_155216,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155210,c_180]) ).
tff(c_154290,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154285,c_152]) ).
tff(c_155221,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_155216,c_154290,c_84]) ).
tff(c_155222,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_155221]) ).
tff(c_154681,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154677,c_112]) ).
tff(c_154701,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_147980,c_154680,c_118803]) ).
tff(c_154705,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154701,c_132]) ).
tff(c_154690,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107840,c_16]) ).
tff(c_154691,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_154690]) ).
tff(c_154844,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154691,c_107834,c_86]) ).
tff(c_154845,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_128065,c_202,c_198,c_154844]) ).
tff(c_154857,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154845,c_154691,c_107834,c_82]) ).
tff(c_154858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_154705,c_200,c_196,c_154857]) ).
tff(c_154859,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_154690]) ).
tff(c_154861,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_154859]) ).
tff(c_155048,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154861,c_107834,c_94]) ).
tff(c_155049,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_155048]) ).
tff(c_155050,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_155049]) ).
tff(c_154872,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_32]) ).
tff(c_154873,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_154872]) ).
tff(c_154879,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_154873,c_192]) ).
tff(c_154866,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154861,c_186]) ).
tff(c_154953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154879,c_107841,c_128065,c_154866,c_24]) ).
tff(c_154955,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_154872]) ).
tff(c_155062,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_155050,c_154955]) ).
tff(c_155063,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_155049]) ).
tff(c_155069,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155063,c_128]) ).
tff(c_154867,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154861,c_190]) ).
tff(c_154954,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_154872]) ).
tff(c_154968,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_154867,c_154954]) ).
tff(c_154979,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_147980,c_154680,c_118803]) ).
tff(c_154991,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_154271,c_154285,c_40]) ).
tff(c_154992,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_154991]) ).
tff(c_155034,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154979,c_154677,c_154992,c_78]) ).
tff(c_155035,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_155034]) ).
tff(c_154956,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_154684,c_92]) ).
tff(c_154957,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_154956]) ).
tff(c_155044,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_154968,c_155035,c_154957,c_84]) ).
tff(c_155045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_154290,c_155044]) ).
tff(c_155046,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_154956]) ).
tff(c_155125,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155046,c_156]) ).
tff(c_155184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155069,c_155125,c_136415,c_154288,c_18]) ).
tff(c_155185,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_154859]) ).
tff(c_155190,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155185,c_116]) ).
tff(c_154289,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_154285,c_146]) ).
tff(c_155292,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_154681,c_155190,c_154289,c_10]) ).
tff(c_154685,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_154677,c_114]) ).
tff(c_155305,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_154275,c_154685,c_147984,c_12]) ).
tff(c_155245,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155222,c_92]) ).
tff(c_155246,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_154684,c_155245]) ).
tff(c_155247,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_155246]) ).
tff(c_155233,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_154271,c_154285,c_40]) ).
tff(c_155234,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_155233]) ).
tff(c_155238,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155234,c_176]) ).
tff(c_155264,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155222,c_155247,c_88]) ).
tff(c_155265,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_155238,c_198,c_155264]) ).
tff(c_155327,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155222,c_155247,c_155265,c_96]) ).
tff(c_155328,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_155327]) ).
tff(c_155396,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155222,c_155292,c_155292,c_155305,c_147979,c_147979,c_155222,c_155328,c_155328,c_154285,c_155222,c_155222,c_428]) ).
tff(c_155397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_200,c_155396]) ).
tff(c_155398,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_155246]) ).
tff(c_155404,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155398,c_156]) ).
tff(c_155413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155204,c_155404,c_136415,c_154288,c_18]) ).
tff(c_155414,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_155221]) ).
tff(c_155430,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155414,c_92]) ).
tff(c_155431,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_107842,c_154684,c_196,c_155430]) ).
tff(c_155436,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155431,c_156]) ).
tff(c_155441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155204,c_155436,c_136415,c_154288,c_18]) ).
tff(c_155443,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_155199]) ).
tff(c_155454,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_147980,c_154680,c_118803]) ).
tff(c_155458,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155454,c_132]) ).
tff(c_155514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155443,c_107841,c_128065,c_155458,c_24]) ).
tff(c_155515,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_154675]) ).
tff(c_155521,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155515,c_170]) ).
tff(c_155557,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_154271,c_154285,c_40]) ).
tff(c_155558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_155521,c_202,c_194,c_155557]) ).
tff(c_155559,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_149691]) ).
tff(c_155566,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155559,c_100]) ).
tff(c_155765,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_147980,c_118803]) ).
tff(c_155766,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_155765]) ).
tff(c_155771,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155766,c_172]) ).
tff(c_155802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154272,c_107837,c_155566,c_155771,c_6]) ).
tff(c_155803,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_155765]) ).
tff(c_155574,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_151410]) ).
tff(c_155578,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155574,c_170]) ).
tff(c_155635,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154272,c_107837,c_155566,c_155578,c_6]) ).
tff(c_155636,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_151410]) ).
tff(c_155638,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_155636]) ).
tff(c_155644,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155638,c_174]) ).
tff(c_155675,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_147980,c_155644,c_118803]) ).
tff(c_155680,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_155675,c_172]) ).
tff(c_155749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_154272,c_107837,c_155566,c_155680,c_6]) ).
tff(c_155750,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_155636]) ).
tff(c_156148,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_154272,c_107837,c_155566,c_6]) ).
tff(c_156161,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_155750,c_156148,c_78]) ).
tff(c_156162,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_156161]) ).
tff(c_156166,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156162,c_136]) ).
tff(c_155565,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155559,c_152]) ).
tff(c_155757,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155750,c_120]) ).
tff(c_155818,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107842,c_32]) ).
tff(c_155819,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_155818]) ).
tff(c_155838,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155819,c_107834,c_86]) ).
tff(c_155839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_128065,c_155757,c_198,c_155838]) ).
tff(c_155841,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_155818]) ).
tff(c_155842,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_94]) ).
tff(c_155843,plain,
( ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_155842]) ).
tff(c_155844,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_155843]) ).
tff(c_155845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_155841,c_155844]) ).
tff(c_155846,plain,
( ( op(e1,e0) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(splitRight,[status(thm)],[c_155843]) ).
tff(c_155848,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_155846]) ).
tff(c_155852,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_155848,c_116]) ).
tff(c_155564,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_155559,c_146]) ).
tff(c_155913,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_155852,c_155564,c_10]) ).
tff(c_155914,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_155913]) ).
tff(c_155919,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_155914,c_110]) ).
tff(c_156026,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_154275,c_155919,c_147984,c_12]) ).
tff(c_155840,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_155818]) ).
tff(c_155859,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_155840]) ).
tff(c_155896,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155859,c_155848,c_107834,c_86]) ).
tff(c_155897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_128065,c_202,c_198,c_155896]) ).
tff(c_155898,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_155840]) ).
tff(c_155924,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_155750,c_78]) ).
tff(c_155925,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_154272,c_155924]) ).
tff(c_156134,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_155914,c_155914,c_156026,c_147979,c_147979,c_155898,c_155925,c_155925,c_156026,c_155898,c_155898,c_428]) ).
tff(c_156135,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_202,c_200,c_156134]) ).
tff(c_156136,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_155913]) ).
tff(c_156141,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156136,c_154]) ).
tff(c_156215,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156166,c_155565,c_156141,c_26]) ).
tff(c_156142,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156136,c_110]) ).
tff(c_156195,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_154275,c_147984,c_156142,c_12]) ).
tff(c_156310,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_156215,c_156215,c_155898,c_154271,c_154271,c_155559,c_156148,c_156148,c_156195,c_155898,c_155898,c_596]) ).
tff(c_156311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_194,c_194,c_204,c_156310]) ).
tff(c_156313,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_155846]) ).
tff(c_156436,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_156313,c_107840,c_155757,c_16]) ).
tff(c_156323,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_155840]) ).
tff(c_156356,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107834,c_154271,c_155559,c_36]) ).
tff(c_156357,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_156356]) ).
tff(c_156385,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_155750,c_156357,c_78]) ).
tff(c_156386,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_156385]) ).
tff(c_156327,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156323,c_142]) ).
tff(c_156334,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_154276,c_147986,c_156327,c_28]) ).
tff(c_156399,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156323,c_156386,c_156334,c_88]) ).
tff(c_156400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_155565,c_156399]) ).
tff(c_156401,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_155840]) ).
tff(c_156414,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155803,c_155750,c_78]) ).
tff(c_156415,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_154272,c_156414]) ).
tff(c_156312,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_155846]) ).
tff(c_156425,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156312,c_155803,c_147979,c_68]) ).
tff(c_156426,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_156425]) ).
tff(c_156431,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156426,c_156]) ).
tff(c_156446,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156401,c_156415,c_84]) ).
tff(c_156447,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_156431,c_156446]) ).
tff(c_156460,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156401,c_156415,c_156447,c_92]) ).
tff(c_156461,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_156460]) ).
tff(c_156569,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156436,c_156401,c_156401,c_156461,c_156436,c_156401,c_756]) ).
tff(c_156570,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_107832]) ).
tff(c_156576,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_104]) ).
tff(c_156598,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156576,c_2]) ).
tff(c_156599,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_156598]) ).
tff(c_156601,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156599,c_148]) ).
tff(c_156605,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156599,c_98]) ).
tff(c_156604,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156599,c_100]) ).
tff(c_156574,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_108]) ).
tff(c_158088,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156604,c_156574,c_6]) ).
tff(c_158089,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_158088]) ).
tff(c_158106,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158089,c_102]) ).
tff(c_156575,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_106]) ).
tff(c_156610,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_156611,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156610,c_130]) ).
tff(c_156585,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_90]) ).
tff(c_156586,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_156585]) ).
tff(c_156587,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_156586]) ).
tff(c_156592,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_192]) ).
tff(c_156578,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_184]) ).
tff(c_156593,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_190]) ).
tff(c_156577,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_182]) ).
tff(c_157050,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_156611,c_156592,c_156578,c_24]) ).
tff(c_157055,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157050,c_186]) ).
tff(c_157643,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_157055,c_16]) ).
tff(c_157648,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157643,c_120]) ).
tff(c_156602,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156599,c_146]) ).
tff(c_156625,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156610,c_72]) ).
tff(c_156626,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_202,c_156625]) ).
tff(c_156627,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_156626]) ).
tff(c_157261,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157050,c_156627,c_156610,c_76]) ).
tff(c_157262,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_157261]) ).
tff(c_156603,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156599,c_152]) ).
tff(c_156589,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_140]) ).
tff(c_156633,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156627,c_180]) ).
tff(c_157061,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_157062,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_156633,c_157061]) ).
tff(c_157063,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_157062]) ).
tff(c_157067,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157063,c_134]) ).
tff(c_157076,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_10]) ).
tff(c_157077,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_157076]) ).
tff(c_157079,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157077,c_150]) ).
tff(c_157101,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157050,c_156627,c_156610,c_76]) ).
tff(c_157102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_157079,c_157101]) ).
tff(c_157103,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_157076]) ).
tff(c_157105,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_157103]) ).
tff(c_157109,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157105,c_154]) ).
tff(c_157258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156603,c_156589,c_157067,c_157109,c_26]) ).
tff(c_157259,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_157103]) ).
tff(c_157480,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157262,c_157259,c_156599,c_34]) ).
tff(c_157481,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_157480]) ).
tff(c_156630,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156627,c_124]) ).
tff(c_156651,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_156611,c_156592,c_156578,c_24]) ).
tff(c_156655,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_156651,c_128]) ).
tff(c_156768,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156601,c_156630,c_156655,c_18]) ).
tff(c_156640,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156605,c_156575,c_4]) ).
tff(c_156641,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_156640]) ).
tff(c_156614,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156610,c_162]) ).
tff(c_156644,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156641,c_158]) ).
tff(c_156671,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_156672,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_156633,c_156671]) ).
tff(c_156673,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_156672]) ).
tff(c_156678,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156673,c_166]) ).
tff(c_156782,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_156614,c_156644,c_156678,c_12]) ).
tff(c_156791,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156651,c_156570,c_94]) ).
tff(c_156792,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_156791]) ).
tff(c_156882,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156627,c_156768,c_156768,c_156627,c_156641,c_156641,c_156782,c_156627,c_156627,c_156587,c_156792,c_156792,c_480]) ).
tff(c_156883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_196,c_198,c_156882]) ).
tff(c_156884,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_156672]) ).
tff(c_157038,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156884,c_156599,c_156599,c_156641,c_156884,c_156599,c_750]) ).
tff(c_157039,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_156640]) ).
tff(c_157360,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157063,c_156610,c_157039,c_58]) ).
tff(c_157361,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_157360]) ).
tff(c_156591,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_144]) ).
tff(c_157285,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156591,c_156633,c_30]) ).
tff(c_157286,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_157285]) ).
tff(c_157045,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157039,c_102]) ).
tff(c_157325,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_156604,c_156574,c_157045,c_6]) ).
tff(c_157338,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157286,c_156627,c_157325,c_66]) ).
tff(c_157339,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_157338]) ).
tff(c_157446,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157361,c_157259,c_157259,c_157361,c_157063,c_157063,c_156599,c_157339,c_157339,c_157361,c_156570,c_156570,c_438]) ).
tff(c_157447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_196,c_157446]) ).
tff(c_157448,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_157285]) ).
tff(c_157472,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157448,c_136]) ).
tff(c_157490,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_157481,c_157472]) ).
tff(c_157491,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_157062]) ).
tff(c_157497,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157491,c_154]) ).
tff(c_157505,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_157497,c_10]) ).
tff(c_157506,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_157505]) ).
tff(c_157509,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157506,c_150]) ).
tff(c_157532,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157050,c_156627,c_156610,c_76]) ).
tff(c_157533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_157509,c_157532]) ).
tff(c_157534,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_157505]) ).
tff(c_157540,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157534,c_112]) ).
tff(c_157558,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156591,c_156633,c_30]) ).
tff(c_157559,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_157558]) ).
tff(c_157585,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157559,c_156627,c_74]) ).
tff(c_157586,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_157585]) ).
tff(c_157587,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_157586]) ).
tff(c_157597,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157559,c_156627,c_157587,c_66]) ).
tff(c_157598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_157045,c_157597]) ).
tff(c_157599,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_157586]) ).
tff(c_157625,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157559,c_156627,c_157599,c_66]) ).
tff(c_157626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_157540,c_196,c_157625]) ).
tff(c_157627,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_157558]) ).
tff(c_157655,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157627,c_156627,c_78]) ).
tff(c_157656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_157648,c_156604,c_157655]) ).
tff(c_157658,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_156626]) ).
tff(c_156615,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156610,c_126]) ).
tff(c_156621,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_156622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156615,c_156621]) ).
tff(c_156623,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_157668,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_157658,c_156623]) ).
tff(c_157669,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_157668]) ).
tff(c_157672,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157669,c_132]) ).
tff(c_157680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156611,c_156592,c_156578,c_157672,c_24]) ).
tff(c_157681,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_157668]) ).
tff(c_157688,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157681,c_172]) ).
tff(c_157861,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_156604,c_157688,c_156574,c_6]) ).
tff(c_157866,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157861,c_102]) ).
tff(c_156616,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_156610,c_168]) ).
tff(c_157657,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_156626]) ).
tff(c_157663,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157657,c_156]) ).
tff(c_157694,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_157695,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_157663,c_157694]) ).
tff(c_157696,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_157695]) ).
tff(c_157745,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_157696,c_96]) ).
tff(c_157746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_156616,c_156603,c_157745]) ).
tff(c_157747,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_157695]) ).
tff(c_157753,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157747,c_166]) ).
tff(c_157871,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156614,c_157753,c_12]) ).
tff(c_157872,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_157871]) ).
tff(c_157924,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157747,c_156610,c_157872,c_50]) ).
tff(c_157925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_157866,c_157924]) ).
tff(c_157926,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_157871]) ).
tff(c_157661,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_157657,c_150]) ).
tff(c_157687,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157681,c_174]) ).
tff(c_157759,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_157687,c_14]) ).
tff(c_157760,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_157759]) ).
tff(c_157765,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_157760,c_178]) ).
tff(c_157748,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_157695]) ).
tff(c_157790,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_156604,c_157688,c_156574,c_6]) ).
tff(c_157794,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157790,c_176]) ).
tff(c_157799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_157765,c_156591,c_157748,c_157794,c_30]) ).
tff(c_157800,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_157759]) ).
tff(c_157802,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_157800]) ).
tff(c_157805,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157802,c_112]) ).
tff(c_157826,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156602,c_157661,c_157805,c_10]) ).
tff(c_157832,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_157826,c_110]) ).
tff(c_157809,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157802,c_114]) ).
tff(c_157837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156614,c_157832,c_157753,c_157809,c_12]) ).
tff(c_157838,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_157800]) ).
tff(c_157840,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_156611,c_156592,c_156578,c_24]) ).
tff(c_157844,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_157840,c_186]) ).
tff(c_157950,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_157844,c_16]) ).
tff(c_158083,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_157926,c_157657,c_157657,c_157926,c_157747,c_157747,c_157926,c_157838,c_157838,c_156587,c_157950,c_157950,c_568]) ).
tff(c_158084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_198,c_158083]) ).
tff(c_158085,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_158087,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_158085]) ).
tff(c_158093,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_160]) ).
tff(c_158239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156605,c_158106,c_156575,c_158093,c_4]) ).
tff(c_158240,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_158088]) ).
tff(c_159254,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158240,c_176]) ).
tff(c_158248,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_168]) ).
tff(c_158243,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_130]) ).
tff(c_158870,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_156592,c_156578,c_158243,c_24]) ).
tff(c_158874,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158870,c_186]) ).
tff(c_158244,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_122]) ).
tff(c_158797,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156601,c_158244,c_18]) ).
tff(c_158798,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_158797]) ).
tff(c_158802,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158798,c_150]) ).
tff(c_158246,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_162]) ).
tff(c_158264,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156601,c_158244,c_18]) ).
tff(c_158265,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_158264]) ).
tff(c_158270,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158265,c_124]) ).
tff(c_158247,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_126]) ).
tff(c_158289,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_158270,c_158247,c_22]) ).
tff(c_158290,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_158289]) ).
tff(c_158303,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158290,c_132]) ).
tff(c_158309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158303,c_156592,c_156578,c_158243,c_24]) ).
tff(c_158310,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_158289]) ).
tff(c_158245,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158087,c_160]) ).
tff(c_158353,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_156605,c_156575,c_158245,c_4]) ).
tff(c_158326,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158310,c_180]) ).
tff(c_158281,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158240,c_176]) ).
tff(c_158366,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_156591,c_158326,c_158281,c_30]) ).
tff(c_236,plain,
( ( op(op(e0,e0),op(e0,e0)) = e0 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e3,e3),op(e3,e3)) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_158501,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156599,c_156599,c_158310,c_158353,c_158353,c_156587,c_158366,c_158366,c_158310,c_156587,c_156587,c_236]) ).
tff(c_158502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_202,c_158501]) ).
tff(c_158503,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_158264]) ).
tff(c_158531,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158503,c_156]) ).
tff(c_158253,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_158258,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_158253,c_114]) ).
tff(c_158508,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158240,c_170]) ).
tff(c_158541,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_158258,c_158508,c_14]) ).
tff(c_158542,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_158541]) ).
tff(c_158529,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158503,c_150]) ).
tff(c_158539,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_158529,c_10]) ).
tff(c_158540,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_158539]) ).
tff(c_158546,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158540,c_112]) ).
tff(c_158562,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_158542,c_158546]) ).
tff(c_158563,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_158541]) ).
tff(c_158769,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_158253,c_158503,c_158503,c_156587,c_158253,c_158253,c_158253,c_158563,c_158563,c_158253,c_156570,c_156570,c_502]) ).
tff(c_158770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_202,c_200,c_158769]) ).
tff(c_158771,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_158539]) ).
tff(c_158775,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158771,c_154]) ).
tff(c_158794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156603,c_156589,c_158531,c_158775,c_26]) ).
tff(c_158795,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_158822,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_158246,c_158795]) ).
tff(c_158823,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_158822]) ).
tff(c_158830,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158823,c_110]) ).
tff(c_158848,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_156602,c_158802,c_158830,c_10]) ).
tff(c_158854,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158848,c_116]) ).
tff(c_158881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_158874,c_156593,c_156577,c_158854,c_16]) ).
tff(c_158882,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_158822]) ).
tff(c_158886,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158882,c_158]) ).
tff(c_158973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156605,c_158886,c_156575,c_158245,c_4]) ).
tff(c_158974,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_158797]) ).
tff(c_159265,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158974,c_150]) ).
tff(c_159005,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158974,c_124]) ).
tff(c_159025,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_159005,c_158247,c_22]) ).
tff(c_159026,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_159025]) ).
tff(c_159032,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159026,c_174]) ).
tff(c_158976,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_10]) ).
tff(c_158977,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_158976]) ).
tff(c_158981,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158977,c_112]) ).
tff(c_158983,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_158977,c_110]) ).
tff(c_159011,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_158246,c_158983,c_158795]) ).
tff(c_159018,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159011,c_114]) ).
tff(c_158992,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158240,c_170]) ).
tff(c_159050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159032,c_158981,c_159018,c_158992,c_14]) ).
tff(c_159051,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_159025]) ).
tff(c_159077,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_158981,c_159018,c_158992,c_14]) ).
tff(c_159082,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159077,c_178]) ).
tff(c_158993,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_158240,c_176]) ).
tff(c_159102,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_159082,c_156591,c_158993,c_30]) ).
tff(c_159006,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_158974,c_156]) ).
tff(c_159067,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_156603,c_156589,c_159006,c_26]) ).
tff(c_159111,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_159102,c_159067,c_96]) ).
tff(c_159112,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_159111]) ).
tff(c_159081,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159077,c_120]) ).
tff(c_159089,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_159081,c_156593,c_156577,c_16]) ).
tff(c_159245,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159051,c_158977,c_158977,c_156587,c_159112,c_159112,c_159011,c_159102,c_159102,c_156599,c_159089,c_159089,c_456]) ).
tff(c_159246,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_202,c_159245]) ).
tff(c_159247,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_158976]) ).
tff(c_159273,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_159265,c_159247]) ).
tff(c_159277,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159273,c_154]) ).
tff(c_159322,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_84]) ).
tff(c_159323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_159254,c_158248,c_159277,c_159322]) ).
tff(c_159324,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_158085]) ).
tff(c_159326,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_159324]) ).
tff(c_159330,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159326,c_122]) ).
tff(c_159332,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159326,c_162]) ).
tff(c_159341,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156592,c_156578,c_24]) ).
tff(c_159342,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_159341]) ).
tff(c_159347,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159342,c_186]) ).
tff(c_159352,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_159347,c_156593,c_156577,c_16]) ).
tff(c_159356,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159352,c_118]) ).
tff(c_159746,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_159332,c_159356,c_12]) ).
tff(c_159747,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_159746]) ).
tff(c_159752,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159747,c_114]) ).
tff(c_159345,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159342,c_132]) ).
tff(c_159333,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159326,c_126]) ).
tff(c_159363,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_159345,c_159333,c_22]) ).
tff(c_159364,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_159363]) ).
tff(c_159367,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159364,c_124]) ).
tff(c_159358,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159352,c_120]) ).
tff(c_159377,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159352,c_64]) ).
tff(c_159378,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_156602,c_159377]) ).
tff(c_159379,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_159378]) ).
tff(c_159385,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159379,c_114]) ).
tff(c_159511,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_159385,c_159332,c_159356,c_12]) ).
tff(c_159370,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159364,c_180]) ).
tff(c_159390,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_159391,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_159370,c_159390]) ).
tff(c_159392,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_159391]) ).
tff(c_159394,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159392,c_134]) ).
tff(c_159402,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_156601,c_159330,c_159367,c_18]) ).
tff(c_159407,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159402,c_156]) ).
tff(c_159434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156603,c_156589,c_159394,c_159407,c_26]) ).
tff(c_159435,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_159391]) ).
tff(c_159331,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159326,c_160]) ).
tff(c_159447,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_156605,c_159331,c_156575,c_4]) ).
tff(c_159613,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159511,c_159435,c_159435,c_156599,c_159447,c_159447,c_159511,c_159364,c_159364,c_159364,c_156587,c_156587,c_612]) ).
tff(c_159614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_198,c_202,c_159613]) ).
tff(c_159615,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_159378]) ).
tff(c_159620,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_159615,c_166]) ).
tff(c_159640,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156603,c_156589,c_26]) ).
tff(c_159641,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_159640]) ).
tff(c_159651,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_159641,c_96]) ).
tff(c_159652,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_159620,c_202,c_159651]) ).
tff(c_159670,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_156599,c_44]) ).
tff(c_159671,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_159331,c_204,c_159670]) ).
tff(c_159680,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159652,c_159364,c_159671,c_66]) ).
tff(c_159681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_159358,c_196,c_159680]) ).
tff(c_159682,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_159640]) ).
tff(c_159688,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159682,c_156]) ).
tff(c_159719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156601,c_159330,c_159367,c_159688,c_18]) ).
tff(c_159720,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_159363]) ).
tff(c_159726,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159720,c_172]) ).
tff(c_159735,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_156604,c_156574,c_159726,c_6]) ).
tff(c_159739,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_159735,c_170]) ).
tff(c_159357,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_159352,c_116]) ).
tff(c_159758,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_159357,c_10]) ).
tff(c_159759,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_159758]) ).
tff(c_159808,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_159752,c_159739,c_159358,c_14]) ).
tff(c_159970,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159720,c_159759,c_159759,c_159720,c_159326,c_159326,c_159747,c_159808,c_159808,c_159720,c_156587,c_156587,c_412]) ).
tff(c_159971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_202,c_200,c_159970]) ).
tff(c_159972,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_159758]) ).
tff(c_159978,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_159972,c_112]) ).
tff(c_160046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_159752,c_159739,c_159978,c_159358,c_14]) ).
tff(c_160047,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_159746]) ).
tff(c_160094,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_159342,c_159720,c_159326,c_72]) ).
tff(c_160095,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_160094]) ).
tff(c_160109,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_156605,c_159331,c_156575,c_4]) ).
tff(c_160226,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160047,c_160095,c_160095,c_156599,c_160109,c_160109,c_156599,c_159720,c_159720,c_156599,c_159352,c_159352,c_480]) ).
tff(c_160227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_202,c_160226]) ).
tff(c_160228,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_159341]) ).
tff(c_160278,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160228,c_132]) ).
tff(c_160230,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_160234,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160230,c_120]) ).
tff(c_160245,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160228,c_186]) ).
tff(c_160273,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160234,c_156593,c_156577,c_160245,c_16]) ).
tff(c_160274,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_160298,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_160274]) ).
tff(c_160304,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160298,c_114]) ).
tff(c_160309,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_159332,c_12]) ).
tff(c_160310,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_160309]) ).
tff(c_160315,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160310,c_166]) ).
tff(c_160332,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_160333,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_160332]) ).
tff(c_160334,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_160333]) ).
tff(c_160355,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_160334,c_96]) ).
tff(c_160356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_160315,c_156603,c_160355]) ).
tff(c_160358,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_160333]) ).
tff(c_160286,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_159333,c_22]) ).
tff(c_160287,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_160286]) ).
tff(c_160391,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160287,c_160298,c_70]) ).
tff(c_160392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160358,c_202,c_194,c_156574,c_160391]) ).
tff(c_160393,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_160309]) ).
tff(c_160405,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_160304,c_160393]) ).
tff(c_160279,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160228,c_128]) ).
tff(c_160431,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_156601,c_159330,c_160279,c_18]) ).
tff(c_160411,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160405,c_166]) ).
tff(c_160417,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_160418,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_160411,c_160417]) ).
tff(c_160419,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_160418]) ).
tff(c_160457,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_160419,c_96]) ).
tff(c_160458,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_156603,c_160457]) ).
tff(c_160595,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160405,c_160431,c_160431,c_156587,c_160458,c_160458,c_156599,c_160298,c_160298,c_160405,c_156570,c_156570,c_566]) ).
tff(c_160596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_194,c_160595]) ).
tff(c_160597,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_160418]) ).
tff(c_160604,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160597,c_156]) ).
tff(c_160622,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160228,c_160287,c_159326,c_72]) ).
tff(c_160623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_160604,c_160622]) ).
tff(c_160624,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_160274]) ).
tff(c_160626,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_160624]) ).
tff(c_160630,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_160626,c_170]) ).
tff(c_160709,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_156604,c_160630,c_156574,c_6]) ).
tff(c_160714,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160709,c_102]) ).
tff(c_160731,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156605,c_159331,c_156575,c_160714,c_4]) ).
tff(c_160732,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_160624]) ).
tff(c_160751,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160732,c_178]) ).
tff(c_160292,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160287,c_180]) ).
tff(c_160734,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_160735,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_160292,c_156603,c_160734]) ).
tff(c_160779,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_160735,c_88]) ).
tff(c_160780,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_160751,c_202,c_160779]) ).
tff(c_160785,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160780,c_156]) ).
tff(c_160790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156601,c_159330,c_160785,c_160279,c_18]) ).
tff(c_160791,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_160286]) ).
tff(c_160793,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_160278,c_160791]) ).
tff(c_160797,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160793,c_124]) ).
tff(c_160883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156601,c_159330,c_160797,c_160279,c_18]) ).
tff(c_160884,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_159324]) ).
tff(c_160891,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160884,c_162]) ).
tff(c_160899,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156592,c_156578,c_24]) ).
tff(c_160900,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_160899]) ).
tff(c_160905,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160900,c_186]) ).
tff(c_160910,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_160905,c_156593,c_156577,c_16]) ).
tff(c_160914,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160910,c_118]) ).
tff(c_160925,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_160891,c_160914,c_12]) ).
tff(c_160926,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_160925]) ).
tff(c_160931,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160926,c_114]) ).
tff(c_160915,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160910,c_116]) ).
tff(c_161041,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_160915,c_10]) ).
tff(c_161042,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_161041]) ).
tff(c_161047,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161042,c_112]) ).
tff(c_160937,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156604,c_156574,c_6]) ).
tff(c_160938,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_160937]) ).
tff(c_160944,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_160938,c_102]) ).
tff(c_161018,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_156605,c_160944,c_156575,c_4]) ).
tff(c_160930,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160926,c_166]) ).
tff(c_156590,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_142]) ).
tff(c_160893,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160884,c_168]) ).
tff(c_161009,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_160930,c_156590,c_160893,c_28]) ).
tff(c_161013,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161009,c_164]) ).
tff(c_161027,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_161018,c_161013]) ).
tff(c_161028,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_160937]) ).
tff(c_161034,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161028,c_176]) ).
tff(c_161087,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156591,c_161034,c_30]) ).
tff(c_161088,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_161087]) ).
tff(c_161035,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161028,c_102]) ).
tff(c_161062,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160884,c_160926,c_50]) ).
tff(c_161063,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_161035,c_161062]) ).
tff(c_161113,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_161088,c_161063,c_88]) ).
tff(c_161114,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_161113]) ).
tff(c_161140,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_161028,c_156599,c_44]) ).
tff(c_161141,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_161140]) ).
tff(c_161185,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_161114,c_156599,c_156599,c_161141,c_161114,c_156599,c_750]) ).
tff(c_161186,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_161087]) ).
tff(c_161191,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161186,c_178]) ).
tff(c_160916,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_160910,c_120]) ).
tff(c_161213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_160931,c_161047,c_161191,c_160916,c_14]) ).
tff(c_161214,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_161041]) ).
tff(c_161219,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161214,c_154]) ).
tff(c_161226,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_160884,c_160926,c_50]) ).
tff(c_161227,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_161035,c_161226]) ).
tff(c_161240,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_161227,c_96]) ).
tff(c_161241,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_156603,c_161240]) ).
tff(c_161280,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_161241,c_161227,c_88]) ).
tff(c_161281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_161219,c_161280]) ).
tff(c_161282,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_160925]) ).
tff(c_161286,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161282,c_158]) ).
tff(c_160903,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_160900,c_132]) ).
tff(c_161295,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_156604,c_156574,c_6]) ).
tff(c_161296,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_161295]) ).
tff(c_161299,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161296,c_172]) ).
tff(c_160892,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160884,c_126]) ).
tff(c_161387,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_160903,c_161299,c_160892,c_22]) ).
tff(c_160889,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_160884,c_122]) ).
tff(c_161289,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161282,c_110]) ).
tff(c_161307,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156603,c_156589,c_26]) ).
tff(c_161308,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_161307]) ).
tff(c_161330,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161308,c_154]) ).
tff(c_161359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156602,c_161289,c_161330,c_160915,c_10]) ).
tff(c_161360,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_161307]) ).
tff(c_161367,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161360,c_156]) ).
tff(c_161373,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156601,c_160889,c_161367,c_18]) ).
tff(c_161453,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_161296,c_156599,c_36]) ).
tff(c_161454,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_161453]) ).
tff(c_161584,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161387,c_161373,c_161373,c_156599,c_161454,c_161454,c_156599,c_161387,c_161387,c_156599,c_160910,c_160910,c_480]) ).
tff(c_161585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_204,c_202,c_161584]) ).
tff(c_161586,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_161295]) ).
tff(c_161593,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161586,c_102]) ).
tff(c_161633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156605,c_161286,c_156575,c_161593,c_4]) ).
tff(c_161634,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_160899]) ).
tff(c_161638,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161634,c_132]) ).
tff(c_161646,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_160892,c_161638,c_22]) ).
tff(c_161647,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_161646]) ).
tff(c_161653,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_161647,c_180]) ).
tff(c_161639,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161634,c_128]) ).
tff(c_161916,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156601,c_160889,c_161639,c_18]) ).
tff(c_161920,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161916,c_150]) ).
tff(c_161658,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_161659,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_156603,c_161658]) ).
tff(c_161660,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_161659]) ).
tff(c_161661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161653,c_161660]) ).
tff(c_161662,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_161659]) ).
tff(c_161668,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_161662,c_166]) ).
tff(c_161651,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_161647,c_174]) ).
tff(c_161676,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_161651,c_14]) ).
tff(c_161677,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_161676]) ).
tff(c_161683,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161677,c_114]) ).
tff(c_161747,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_161668,c_161683,c_160891,c_12]) ).
tff(c_161679,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_161677,c_112]) ).
tff(c_161735,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156602,c_161679,c_10]) ).
tff(c_161736,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_161735]) ).
tff(c_161715,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161647,c_161677,c_70]) ).
tff(c_161716,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_156574,c_161715]) ).
tff(c_161866,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161747,c_161736,c_161736,c_156587,c_161662,c_161662,c_161747,c_161716,c_161716,c_156599,c_161634,c_161634,c_458]) ).
tff(c_161867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_204,c_161866]) ).
tff(c_161868,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_161735]) ).
tff(c_161873,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161868,c_110]) ).
tff(c_161899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_161668,c_161683,c_160891,c_161873,c_12]) ).
tff(c_161900,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_161676]) ).
tff(c_161902,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_161900]) ).
tff(c_161909,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_114]) ).
tff(c_161943,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_161668,c_160891,c_161909,c_12]) ).
tff(c_161955,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_161662,c_88]) ).
tff(c_161956,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_161955]) ).
tff(c_161957,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_161956]) ).
tff(c_161961,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_161957,c_136]) ).
tff(c_162006,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161916,c_156599,c_38]) ).
tff(c_162007,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_161961,c_198,c_202,c_162006]) ).
tff(c_161926,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_64]) ).
tff(c_161927,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_161668,c_156602,c_161926]) ).
tff(c_162101,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_161943,c_162007,c_162007,c_156587,c_161662,c_161662,c_156599,c_161902,c_161902,c_156587,c_161927,c_161927,c_440]) ).
tff(c_162102,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_198,c_162101]) ).
tff(c_162103,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_161956]) ).
tff(c_162108,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162103,c_154]) ).
tff(c_161905,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_161902,c_112]) ).
tff(c_162121,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156602,c_161920,c_162108,c_161905,c_10]) ).
tff(c_162122,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_161900]) ).
tff(c_162209,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162122,c_178]) ).
tff(c_162301,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_161653,c_156591,c_162209,c_30]) ).
tff(c_162314,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_162301,c_161662,c_88]) ).
tff(c_162315,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_162314]) ).
tff(c_162408,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_161634,c_156587,c_156587,c_162315,c_161634,c_156587,c_754]) ).
tff(c_162409,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_161646]) ).
tff(c_162413,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162409,c_124]) ).
tff(c_162581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156601,c_162413,c_160889,c_161639,c_18]) ).
tff(c_162582,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_156598]) ).
tff(c_162584,plain,
op(e3,e3) = e3,
inference(splitLeft,[status(thm)],[c_162582]) ).
tff(c_165013,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_98]) ).
tff(c_162585,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156575,c_4]) ).
tff(c_162586,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_162585]) ).
tff(c_162602,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162586,c_102]) ).
tff(c_162592,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_100]) ).
tff(c_164171,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_162602,c_156574,c_162592,c_6]) ).
tff(c_164175,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164171,c_172]) ).
tff(c_162601,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162586,c_164]) ).
tff(c_162599,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162586,c_158]) ).
tff(c_162607,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_72]) ).
tff(c_162608,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_162607]) ).
tff(c_162615,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162608,c_180]) ).
tff(c_163074,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_163075,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_162615,c_163074]) ).
tff(c_163076,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_163075]) ).
tff(c_163081,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163076,c_166]) ).
tff(c_162622,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_16]) ).
tff(c_162623,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_162622]) ).
tff(c_162639,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162623,c_186]) ).
tff(c_162600,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162586,c_160]) ).
tff(c_162637,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162623,c_116]) ).
tff(c_162638,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162623,c_120]) ).
tff(c_162624,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_162602,c_156574,c_162592,c_6]) ).
tff(c_162628,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162624,c_170]) ).
tff(c_162613,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162608,c_174]) ).
tff(c_162733,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_162638,c_162628,c_162613,c_14]) ).
tff(c_162611,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162608,c_124]) ).
tff(c_162589,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_148]) ).
tff(c_162658,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_162611,c_162589,c_18]) ).
tff(c_162659,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_162658]) ).
tff(c_162847,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_162733,c_162608,c_162608,c_162659,c_162733,c_162608,c_760]) ).
tff(c_162848,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_162658]) ).
tff(c_162853,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_162848,c_150]) ).
tff(c_162591,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_152]) ).
tff(c_162644,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_162645,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_162601,c_162644]) ).
tff(c_162646,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_162645]) ).
tff(c_162865,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_162646,c_88]) ).
tff(c_162866,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_162865]) ).
tff(c_162867,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_162866]) ).
tff(c_162913,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_162646,c_162867,c_84]) ).
tff(c_162914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_162591,c_162913]) ).
tff(c_162915,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_162866]) ).
tff(c_162921,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162915,c_154]) ).
tff(c_162590,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_146]) ).
tff(c_162945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162637,c_162853,c_162921,c_162590,c_10]) ).
tff(c_162946,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_162645]) ).
tff(c_162953,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162946,c_156]) ).
tff(c_162960,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162608,c_80]) ).
tff(c_162961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162639,c_202,c_162600,c_162953,c_162960]) ).
tff(c_162962,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_162622]) ).
tff(c_162966,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162962,c_118]) ).
tff(c_163152,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_162599,c_163081,c_162966,c_12]) ).
tff(c_163110,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162962,c_64]) ).
tff(c_163111,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_162599,c_163110]) ).
tff(c_163112,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_163111]) ).
tff(c_163126,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_163112,c_112]) ).
tff(c_162977,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_162611,c_162589,c_18]) ).
tff(c_162978,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_162977]) ).
tff(c_162984,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_162978,c_156]) ).
tff(c_162968,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162962,c_120]) ).
tff(c_162989,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_162990,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_162601,c_162989]) ).
tff(c_162991,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_162990]) ).
tff(c_163054,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_162991,c_162608,c_66]) ).
tff(c_163055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_162968,c_162592,c_163054]) ).
tff(c_163056,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_162990]) ).
tff(c_163058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162984,c_163056]) ).
tff(c_163059,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_162977]) ).
tff(c_163064,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163059,c_150]) ).
tff(c_163176,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_163126,c_163064,c_162590,c_10]) ).
tff(c_163065,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163059,c_122]) ).
tff(c_162612,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_162608,c_126]) ).
tff(c_163133,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_162600,c_163065,c_162612,c_20]) ).
tff(c_163099,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_162586,c_162584,c_44]) ).
tff(c_163100,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_163099]) ).
tff(c_163263,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163152,c_163176,c_163176,c_162584,c_163133,c_163133,c_162608,c_163100,c_163100,c_162608,c_156587,c_156587,c_404]) ).
tff(c_163264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_194,c_202,c_163263]) ).
tff(c_163265,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_163111]) ).
tff(c_163269,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_163265,c_154]) ).
tff(c_163079,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163076,c_134]) ).
tff(c_163288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163269,c_156589,c_163079,c_162591,c_26]) ).
tff(c_163290,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_163075]) ).
tff(c_163300,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_162600,c_163065,c_162612,c_20]) ).
tff(c_163306,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163300,c_168]) ).
tff(c_163322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162601,c_156590,c_163290,c_163306,c_28]) ).
tff(c_163324,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_162607]) ).
tff(c_164723,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_164175,c_163324,c_22]) ).
tff(c_164724,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_164723]) ).
tff(c_163714,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_162602,c_156574,c_162592,c_6]) ).
tff(c_163718,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163714,c_172]) ).
tff(c_163323,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_162607]) ).
tff(c_163326,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_163323]) ).
tff(c_163331,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163326,c_122]) ).
tff(c_163725,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_162600,c_163331,c_20]) ).
tff(c_163726,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_163725]) ).
tff(c_163730,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163726,c_162]) ).
tff(c_163332,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163326,c_156]) ).
tff(c_163613,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_156589,c_163332,c_162591,c_26]) ).
tff(c_163339,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_16]) ).
tff(c_163340,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_163339]) ).
tff(c_163346,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_163340,c_186]) ).
tff(c_163351,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163326,c_80]) ).
tff(c_163352,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_163346,c_162600,c_202,c_163351]) ).
tff(c_163363,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_162602,c_156574,c_162592,c_6]) ).
tff(c_163540,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163352,c_163326,c_76]) ).
tff(c_163541,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_156592,c_204,c_198,c_163540]) ).
tff(c_163546,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163541,c_162]) ).
tff(c_163358,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_163352,c_180]) ).
tff(c_163375,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_162601,c_156590,c_28]) ).
tff(c_163376,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_163375]) ).
tff(c_163380,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163376,c_138]) ).
tff(c_163435,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_163358,c_156591,c_163380,c_30]) ).
tff(c_163522,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_163435,c_163352,c_163352,c_163326,c_163435,c_163352,c_758]) ).
tff(c_163523,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_163375]) ).
tff(c_163529,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163523,c_166]) ).
tff(c_163621,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_162599,c_163546,c_163529,c_12]) ).
tff(c_163699,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_163613,c_163613,c_156587,c_162586,c_162586,c_163352,c_163363,c_163363,c_163621,c_156570,c_156570,c_590]) ).
tff(c_163700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_194,c_163699]) ).
tff(c_163701,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_163339]) ).
tff(c_163705,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163701,c_118]) ).
tff(c_163809,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_162599,c_163730,c_163705,c_12]) ).
tff(c_163813,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163809,c_114]) ).
tff(c_163819,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163714,c_70]) ).
tff(c_163820,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_163324,c_163813,c_198,c_163819]) ).
tff(c_163719,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_163714,c_170]) ).
tff(c_163707,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_163701,c_120]) ).
tff(c_163832,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_163719,c_163813,c_163707,c_14]) ).
tff(c_163854,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163820,c_163832,c_163714,c_66]) ).
tff(c_163855,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_163854]) ).
tff(c_163837,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_163832,c_112]) ).
tff(c_163329,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163326,c_150]) ).
tff(c_163875,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_163837,c_163329,c_162590,c_10]) ).
tff(c_163752,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_162601,c_156590,c_28]) ).
tff(c_163753,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_163752]) ).
tff(c_163758,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_163753,c_166]) ).
tff(c_163794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_162599,c_163730,c_163758,c_163705,c_12]) ).
tff(c_163795,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_163752]) ).
tff(c_163961,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163855,c_163875,c_163875,c_162584,c_163795,c_163795,c_162584,c_163855,c_163855,c_162584,c_163701,c_163701,c_448]) ).
tff(c_163962,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_194,c_163961]) ).
tff(c_163963,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_163725]) ).
tff(c_163976,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163963,c_163326,c_80]) ).
tff(c_163977,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_163976]) ).
tff(c_163978,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_163977]) ).
tff(c_164040,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163978,c_163963,c_163326,c_76]) ).
tff(c_164041,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_163718,c_196,c_198,c_164040]) ).
tff(c_164043,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_163977]) ).
tff(c_164157,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_163701,c_156570,c_94]) ).
tff(c_164158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_164043,c_200,c_202,c_164157]) ).
tff(c_164159,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_163323]) ).
tff(c_164736,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164724,c_164159,c_76]) ).
tff(c_164737,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156592,c_204,c_198,c_164736]) ).
tff(c_164742,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164737,c_150]) ).
tff(c_164176,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164171,c_170]) ).
tff(c_164182,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_164186,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164182,c_178]) ).
tff(c_164185,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164182,c_120]) ).
tff(c_164166,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164159,c_168]) ).
tff(c_164204,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_164205,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_164166,c_164204]) ).
tff(c_164206,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_164205]) ).
tff(c_164229,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_164206,c_96]) ).
tff(c_164230,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_162601,c_164229]) ).
tff(c_164183,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164182,c_174]) ).
tff(c_164193,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_164183,c_164175,c_163324,c_22]) ).
tff(c_164164,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164159,c_162]) ).
tff(c_164218,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_162599,c_164164,c_12]) ).
tff(c_164219,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_164218]) ).
tff(c_606,plain,
( ( op(op(e3,e0),op(e3,e0)) = e3 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_164393,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_164230,c_164230,c_156587,c_162586,c_162586,c_162584,c_164193,c_164193,c_164219,c_156570,c_156570,c_606]) ).
tff(c_164394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196,c_196,c_164393]) ).
tff(c_164395,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_164218]) ).
tff(c_164399,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164395,c_118]) ).
tff(c_164466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164185,c_156593,c_156577,c_164399,c_16]) ).
tff(c_164467,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_164205]) ).
tff(c_164481,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_164467,c_96]) ).
tff(c_164482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_164186,c_162601,c_202,c_164481]) ).
tff(c_164483,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_164485,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_164176,c_164483]) ).
tff(c_164486,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_164485]) ).
tff(c_164489,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164486,c_174]) ).
tff(c_164544,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_164175,c_163324,c_164489,c_22]) ).
tff(c_164585,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164544,c_164159,c_68]) ).
tff(c_164586,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_162589,c_164585]) ).
tff(c_164619,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164586,c_164544,c_164159,c_76]) ).
tff(c_164620,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_164619]) ).
tff(c_164493,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164486,c_114]) ).
tff(c_164512,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_162599,c_164164,c_164493,c_12]) ).
tff(c_164691,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164544,c_164620,c_164620,c_164544,c_164512,c_164512,c_164544,c_164171,c_164171,c_162584,c_164586,c_164586,c_498]) ).
tff(c_164692,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_196,c_164691]) ).
tff(c_164693,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_164485]) ).
tff(c_164698,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164693,c_112]) ).
tff(c_164749,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164742,c_164698,c_162590,c_10]) ).
tff(c_164753,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_164749,c_116]) ).
tff(c_164769,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_164753,c_156593,c_156577,c_16]) ).
tff(c_164773,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164769,c_186]) ).
tff(c_164790,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164724,c_164159,c_164737,c_68]) ).
tff(c_164791,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164773,c_200,c_194,c_196,c_164790]) ).
tff(c_164792,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_164723]) ).
tff(c_164806,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164792,c_164159,c_76]) ).
tff(c_164807,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_156592,c_196,c_198,c_164806]) ).
tff(c_164811,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_164807,c_150]) ).
tff(c_164843,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_164811,c_164698,c_162590,c_10]) ).
tff(c_164852,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_162601,c_156590,c_164166,c_28]) ).
tff(c_164700,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_164693,c_178]) ).
tff(c_164711,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_164712,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_164700,c_164166,c_164711]) ).
tff(c_164882,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_164852,c_164712,c_96]) ).
tff(c_164883,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_164882]) ).
tff(c_164816,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_162599,c_164164,c_12]) ).
tff(c_164817,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_164816]) ).
tff(c_164973,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_164843,c_164843,c_162584,c_164852,c_164852,c_156587,c_164883,c_164883,c_164817,c_156570,c_156570,c_454]) ).
tff(c_164974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_196,c_164973]) ).
tff(c_164975,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_164816]) ).
tff(c_164979,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_164975,c_118]) ).
tff(c_164987,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_164792,c_164159,c_164807,c_80]) ).
tff(c_164988,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_164987]) ).
tff(c_165003,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_164988,c_156570,c_82]) ).
tff(c_165004,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_164979,c_194,c_165003]) ).
tff(c_165005,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_162585]) ).
tff(c_166591,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_165013,c_165005]) ).
tff(c_166598,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166591,c_102]) ).
tff(c_165012,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_100]) ).
tff(c_166603,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_165012,c_6]) ).
tff(c_166604,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_166603]) ).
tff(c_166608,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166604,c_170]) ).
tff(c_165018,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_16]) ).
tff(c_165019,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_165018]) ).
tff(c_165025,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165019,c_186]) ).
tff(c_165949,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_165013,c_165005]) ).
tff(c_165954,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165949,c_160]) ).
tff(c_165041,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_165013,c_165005]) ).
tff(c_165047,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165041,c_102]) ).
tff(c_165844,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_165047,c_156574,c_165012,c_6]) ).
tff(c_165848,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165844,c_176]) ).
tff(c_165373,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_165047,c_156574,c_165012,c_6]) ).
tff(c_165377,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165373,c_176]) ).
tff(c_165030,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_165036,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165030,c_168]) ).
tff(c_165392,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_165393,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_165377,c_165036,c_165392]) ).
tff(c_165035,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165030,c_126]) ).
tff(c_165023,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165019,c_116]) ).
tff(c_165024,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165019,c_120]) ).
tff(c_165052,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_165024,c_14]) ).
tff(c_165053,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_165052]) ).
tff(c_165056,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165053,c_112]) ).
tff(c_165032,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165030,c_122]) ).
tff(c_165064,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165030,c_72]) ).
tff(c_165065,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_202,c_165064]) ).
tff(c_165066,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_165065]) ).
tff(c_165011,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_152]) ).
tff(c_165102,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156589,c_165011,c_26]) ).
tff(c_165103,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_165102]) ).
tff(c_165127,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165103,c_162584,c_42]) ).
tff(c_165128,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_165056,c_196,c_165127]) ).
tff(c_165022,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165019,c_118]) ).
tff(c_165045,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165041,c_158]) ).
tff(c_165140,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165103,c_165128,c_162584,c_38]) ).
tff(c_165141,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_165140]) ).
tff(c_165145,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165141,c_110]) ).
tff(c_165150,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_165022,c_165045,c_165145,c_12]) ).
tff(c_165255,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165066,c_165128,c_165128,c_165066,c_165041,c_165041,c_165150,c_165066,c_165066,c_156587,c_165019,c_165019,c_480]) ).
tff(c_165256,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_196,c_198,c_165255]) ).
tff(c_165257,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_165102]) ).
tff(c_165270,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165257,c_162584,c_46]) ).
tff(c_165271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_165032,c_165023,c_200,c_165270]) ).
tff(c_165272,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_165065]) ).
tff(c_165277,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165272,c_150]) ).
tff(c_165010,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_146]) ).
tff(c_165332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165023,c_165056,c_165277,c_165010,c_10]) ).
tff(c_165333,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_165052]) ).
tff(c_165337,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_165333]) ).
tff(c_165340,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165337,c_174]) ).
tff(c_165349,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_165035,c_165340,c_22]) ).
tff(c_165350,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_165349]) ).
tff(c_165344,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165337,c_114]) ).
tff(c_165382,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_165022,c_165045,c_165344,c_12]) ).
tff(c_165386,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165382,c_166]) ).
tff(c_165434,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_165393,c_88]) ).
tff(c_165435,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_165386,c_202,c_165434]) ).
tff(c_616,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e0,e1),op(e0,e1)) = e0 )
| ( op(op(e3,e2),op(e3,e2)) = e3 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_165531,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_165393,c_165393,c_165350,c_165041,c_165041,c_165382,c_165435,c_165435,c_156587,c_165019,c_165019,c_616]) ).
tff(c_165532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_202,c_198,c_165531]) ).
tff(c_165533,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_165349]) ).
tff(c_165540,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165533,c_180]) ).
tff(c_165343,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165337,c_178]) ).
tff(c_165545,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_165546,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_165036,c_165545]) ).
tff(c_165547,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_165546]) ).
tff(c_165552,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165547,c_176]) ).
tff(c_165559,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_165041,c_162584,c_48]) ).
tff(c_165560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_165552,c_204,c_200,c_165559]) ).
tff(c_165561,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_165546]) ).
tff(c_165615,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_165561,c_84]) ).
tff(c_165616,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_165343,c_200,c_165615]) ).
tff(c_165625,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_165616,c_165561,c_88]) ).
tff(c_165626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_165540,c_194,c_202,c_165625]) ).
tff(c_165627,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_165333]) ).
tff(c_165634,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165627,c_178]) ).
tff(c_165631,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165627,c_174]) ).
tff(c_165641,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_165035,c_165631,c_22]) ).
tff(c_165642,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_165641]) ).
tff(c_165663,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_165041,c_162584,c_48]) ).
tff(c_165664,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_165663]) ).
tff(c_165668,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_165664,c_176]) ).
tff(c_165687,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_165688,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_165668,c_165036,c_165687]) ).
tff(c_165673,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165642,c_165030,c_72]) ).
tff(c_165674,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_156578,c_198,c_202,c_165673]) ).
tff(c_165736,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165688,c_165674,c_162584,c_42]) ).
tff(c_165737,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_165736]) ).
tff(c_165635,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_165627,c_114]) ).
tff(c_165653,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_165022,c_165045,c_165635,c_12]) ).
tff(c_165717,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_165668,c_156591,c_165634,c_30]) ).
tff(c_165829,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_165642,c_165737,c_165737,c_162584,c_165653,c_165653,c_162584,c_165717,c_165717,c_156587,c_165019,c_165019,c_392]) ).
tff(c_165830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_200,c_198,c_165829]) ).
tff(c_165831,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_165641]) ).
tff(c_165839,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165831,c_180]) ).
tff(c_165946,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165848,c_156591,c_165634,c_165839,c_30]) ).
tff(c_165947,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_165963,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_165954,c_165947]) ).
tff(c_165964,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_165963]) ).
tff(c_165967,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_165964,c_130]) ).
tff(c_166129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_165025,c_156592,c_156578,c_165967,c_24]) ).
tff(c_166130,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_165963]) ).
tff(c_166138,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166130,c_126]) ).
tff(c_166144,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166138,c_22]) ).
tff(c_166145,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_166144]) ).
tff(c_166150,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166145,c_172]) ).
tff(c_166192,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_165949,c_162584,c_48]) ).
tff(c_166193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_166150,c_204,c_200,c_166192]) ).
tff(c_166194,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_166144]) ).
tff(c_166196,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_166194]) ).
tff(c_166199,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166196,c_132]) ).
tff(c_166314,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_165019,c_156570,c_82]) ).
tff(c_166315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_166199,c_200,c_194,c_166314]) ).
tff(c_166316,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_166194]) ).
tff(c_166322,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166316,c_124]) ).
tff(c_166136,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166130,c_122]) ).
tff(c_165009,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_162584,c_148]) ).
tff(c_166550,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_166322,c_166136,c_165009,c_18]) ).
tff(c_166538,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156589,c_165011,c_26]) ).
tff(c_166539,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_166538]) ).
tff(c_166545,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166539,c_156]) ).
tff(c_166560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166550,c_166545]) ).
tff(c_166561,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_166538]) ).
tff(c_166566,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166561,c_136]) ).
tff(c_166415,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_165019,c_156570,c_82]) ).
tff(c_166416,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_166415]) ).
tff(c_166323,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166316,c_174]) ).
tff(c_166330,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_165024,c_166323,c_14]) ).
tff(c_166331,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_166330]) ).
tff(c_166347,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166331,c_178]) ).
tff(c_165956,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_165949,c_102]) ).
tff(c_166355,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_165956,c_156574,c_165012,c_6]) ).
tff(c_166359,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166355,c_176]) ).
tff(c_166332,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_166322,c_166136,c_165009,c_18]) ).
tff(c_166338,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166332,c_156]) ).
tff(c_166370,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_166371,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_166359,c_166338,c_166370]) ).
tff(c_166391,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_166371,c_88]) ).
tff(c_166392,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_166347,c_202,c_166391]) ).
tff(c_166498,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166416,c_156587,c_156587,c_166392,c_166416,c_156587,c_754]) ).
tff(c_166499,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_166330]) ).
tff(c_166522,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_165949,c_162584,c_48]) ).
tff(c_166523,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_166522]) ).
tff(c_166574,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166316,c_166499,c_166523,c_70]) ).
tff(c_166575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166566,c_198,c_194,c_202,c_166574]) ).
tff(c_166576,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_165018]) ).
tff(c_166743,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166576,c_64]) ).
tff(c_166744,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_166608,c_166743]) ).
tff(c_166745,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_166744]) ).
tff(c_166609,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166604,c_176]) ).
tff(c_166748,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166745,c_166]) ).
tff(c_166757,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_166758,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_166609,c_166748,c_166757]) ).
tff(c_166764,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166758,c_156]) ).
tff(c_166950,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166764,c_165009,c_18]) ).
tff(c_166951,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_166950]) ).
tff(c_167010,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166758,c_166951,c_162584,c_38]) ).
tff(c_167011,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_167010]) ).
tff(c_166607,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166604,c_172]) ).
tff(c_166596,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166591,c_160]) ).
tff(c_166615,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_166596,c_20]) ).
tff(c_166616,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_166615]) ).
tff(c_166620,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166616,c_162]) ).
tff(c_166622,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166616,c_168]) ).
tff(c_166629,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_166630,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_166609,c_166622,c_166629]) ).
tff(c_166635,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_166630,c_154]) ).
tff(c_166727,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166576,c_64]) ).
tff(c_166728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_166608,c_166620,c_166635,c_166727]) ).
tff(c_166729,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_166615]) ).
tff(c_166731,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_166729]) ).
tff(c_166737,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166731,c_126]) ).
tff(c_166771,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166607,c_166737,c_22]) ).
tff(c_166772,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_166771]) ).
tff(c_166776,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166772,c_124]) ).
tff(c_166799,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_166764,c_166776,c_165009,c_18]) ).
tff(c_166777,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166772,c_174]) ).
tff(c_166585,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166576,c_120]) ).
tff(c_166783,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_166608,c_166777,c_166585,c_14]) ).
tff(c_166946,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166745,c_166799,c_166799,c_156587,c_166745,c_166745,c_166745,c_166783,c_166783,c_166745,c_156570,c_156570,c_502]) ).
tff(c_166947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_202,c_200,c_166946]) ).
tff(c_166948,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_166771]) ).
tff(c_166966,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166948,c_180]) ).
tff(c_166977,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_166758,c_88]) ).
tff(c_166978,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_166966,c_202,c_166977]) ).
tff(c_167019,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_166978,c_166758,c_84]) ).
tff(c_167020,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_167019]) ).
tff(c_167118,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166745,c_167011,c_167011,c_156587,c_166745,c_166745,c_162584,c_167020,c_167020,c_166745,c_156570,c_156570,c_390]) ).
tff(c_167119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_200,c_167118]) ).
tff(c_167120,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_166950]) ).
tff(c_167126,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_166948,c_124]) ).
tff(c_167144,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_167120,c_167126]) ).
tff(c_167146,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_166744]) ).
tff(c_166595,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_166591,c_158]) ).
tff(c_166583,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_166576,c_118]) ).
tff(c_167269,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_167146,c_166595,c_166583,c_12]) ).
tff(c_167171,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166607,c_166737,c_22]) ).
tff(c_167172,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_167171]) ).
tff(c_167177,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167172,c_174]) ).
tff(c_167211,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_167146,c_166595,c_166583,c_12]) ).
tff(c_167215,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167211,c_114]) ).
tff(c_167220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166608,c_167177,c_167215,c_166585,c_14]) ).
tff(c_167221,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_167171]) ).
tff(c_167228,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167221,c_180]) ).
tff(c_167145,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_166744]) ).
tff(c_167149,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167145,c_154]) ).
tff(c_167156,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_167157,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_166609,c_167149,c_167156]) ).
tff(c_167258,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_167157,c_88]) ).
tff(c_167259,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_167228,c_202,c_167258]) ).
tff(c_167390,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167269,c_167259,c_167259,c_167221,c_166591,c_166591,c_156587,c_166604,c_166604,c_167269,c_156570,c_156570,c_590]) ).
tff(c_167391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_196,c_194,c_167390]) ).
tff(c_167392,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_166729]) ).
tff(c_167397,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167392,c_122]) ).
tff(c_167399,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167392,c_126]) ).
tff(c_167435,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_166609,c_156591,c_30]) ).
tff(c_167436,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_167435]) ).
tff(c_167440,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167436,c_178]) ).
tff(c_167446,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_166608,c_166585,c_14]) ).
tff(c_167447,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_167446]) ).
tff(c_167451,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167447,c_174]) ).
tff(c_167498,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_166607,c_167451,c_167399,c_22]) ).
tff(c_167408,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_166576,c_64]) ).
tff(c_167409,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_166608,c_167408]) ).
tff(c_167410,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_167409]) ).
tff(c_167414,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167410,c_166]) ).
tff(c_167421,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_167422,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_166609,c_167414,c_167421]) ).
tff(c_167428,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167422,c_156]) ).
tff(c_167487,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_167428,c_167397,c_165009,c_18]) ).
tff(c_167596,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167498,c_167487,c_167487,c_156587,c_167410,c_167410,c_167498,c_167447,c_167447,c_162584,c_166576,c_166576,c_504]) ).
tff(c_167597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_194,c_194,c_167596]) ).
tff(c_167598,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_167446]) ).
tff(c_167600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167440,c_167598]) ).
tff(c_167601,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_167435]) ).
tff(c_167607,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167601,c_180]) ).
tff(c_167613,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_166607,c_167399,c_167607,c_22]) ).
tff(c_167619,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167613,c_174]) ).
tff(c_167628,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_166608,c_167619,c_166585,c_14]) ).
tff(c_167632,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167628,c_112]) ).
tff(c_167643,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167422,c_162584,c_38]) ).
tff(c_167644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_167397,c_167632,c_194,c_167643]) ).
tff(c_167646,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_167409]) ).
tff(c_167398,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167392,c_162]) ).
tff(c_167733,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167646,c_166595,c_167398,c_166583,c_12]) ).
tff(c_167734,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_166603]) ).
tff(c_167736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166598,c_167734]) ).
tff(c_167737,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_162582]) ).
tff(c_170882,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_98]) ).
tff(c_167739,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156575,c_4]) ).
tff(c_167740,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_167739]) ).
tff(c_167755,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167740,c_160]) ).
tff(c_167756,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167740,c_164]) ).
tff(c_167754,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167740,c_158]) ).
tff(c_167762,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_167764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167754,c_167762]) ).
tff(c_167765,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_167768,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_167765]) ).
tff(c_167770,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167768,c_118]) ).
tff(c_168190,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156570,c_82]) ).
tff(c_168191,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_167770,c_194,c_168190]) ).
tff(c_168194,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168191,c_128]) ).
tff(c_167743,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_148]) ).
tff(c_167792,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_167793,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_167756,c_167792]) ).
tff(c_167794,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_167793]) ).
tff(c_167800,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167794,c_180]) ).
tff(c_167757,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167740,c_102]) ).
tff(c_167746,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_100]) ).
tff(c_167781,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_6]) ).
tff(c_167785,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167781,c_172]) ).
tff(c_167807,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_167800,c_167785,c_22]) ).
tff(c_167808,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_167807]) ).
tff(c_167813,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167808,c_126]) ).
tff(c_167842,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_167808,c_72]) ).
tff(c_167843,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_198,c_167842]) ).
tff(c_167844,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_167843]) ).
tff(c_167850,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167844,c_168]) ).
tff(c_167772,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167768,c_166]) ).
tff(c_167868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167756,c_156590,c_167850,c_167772,c_28]) ).
tff(c_167870,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_167843]) ).
tff(c_167771,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167768,c_162]) ).
tff(c_167893,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167755,c_167813,c_167870,c_167771,c_20]) ).
tff(c_167894,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_167807]) ).
tff(c_167911,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_167894,c_124]) ).
tff(c_167896,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_167770,c_16]) ).
tff(c_167902,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_167896,c_186]) ).
tff(c_167943,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_167902,c_156592,c_156578,c_24]) ).
tff(c_167947,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167943,c_128]) ).
tff(c_167953,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_167743,c_167911,c_167947,c_18]) ).
tff(c_726,plain,
( ( op(e3,op(op(e3,e3),e3)) != e2 )
| ( op(e3,e3) != e1 )
| ( op(op(e3,e3),e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_628]) ).
tff(c_168075,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_167953,c_167737,c_167737,c_156570,c_167953,c_167737,c_726]) ).
tff(c_168076,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_167793]) ).
tff(c_168144,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_167755,c_167771,c_20]) ).
tff(c_168145,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_168144]) ).
tff(c_168150,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168145,c_126]) ).
tff(c_168081,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_154]) ).
tff(c_167744,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_146]) ).
tff(c_167774,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_167768,c_110]) ).
tff(c_168116,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_168081,c_167744,c_167774,c_10]) ).
tff(c_168120,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168116,c_150]) ).
tff(c_168082,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_156]) ).
tff(c_168091,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_167785,c_22]) ).
tff(c_168092,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_168091]) ).
tff(c_168094,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168092,c_132]) ).
tff(c_168103,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_168094,c_156592,c_156578,c_24]) ).
tff(c_168127,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168103,c_168092,c_72]) ).
tff(c_168128,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_168127]) ).
tff(c_168129,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_168128]) ).
tff(c_168132,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168129,c_122]) ).
tff(c_168107,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168103,c_128]) ).
tff(c_168138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168082,c_167743,c_168132,c_168107,c_18]) ).
tff(c_168139,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_168128]) ).
tff(c_168141,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168120,c_168139]) ).
tff(c_168142,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_168091]) ).
tff(c_168156,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_168150,c_168142]) ).
tff(c_168161,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168156,c_124]) ).
tff(c_168179,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_167737,c_38]) ).
tff(c_168180,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_168161,c_198,c_168179]) ).
tff(c_168209,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168076,c_168180,c_167737,c_34]) ).
tff(c_168210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_168194,c_194,c_196,c_168209]) ).
tff(c_168211,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_168144]) ).
tff(c_168219,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168211,c_168]) ).
tff(c_168261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167756,c_156590,c_168219,c_167772,c_28]) ).
tff(c_168262,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_167765]) ).
tff(c_168264,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_168262]) ).
tff(c_168268,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168264,c_162]) ).
tff(c_168658,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156593,c_156577,c_16]) ).
tff(c_168659,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_168658]) ).
tff(c_168664,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168659,c_186]) ).
tff(c_168795,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_168664,c_156592,c_156578,c_24]) ).
tff(c_168779,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_168780,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_167756,c_168779]) ).
tff(c_168781,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_168780]) ).
tff(c_168783,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168781,c_136]) ).
tff(c_168663,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168659,c_120]) ).
tff(c_168270,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_168264,c_114]) ).
tff(c_168662,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168659,c_116]) ).
tff(c_168694,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_168662,c_167744,c_10]) ).
tff(c_168695,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_168694]) ).
tff(c_168700,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168695,c_112]) ).
tff(c_168740,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_6]) ).
tff(c_168744,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168740,c_170]) ).
tff(c_168766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168663,c_168270,c_168700,c_168744,c_14]) ).
tff(c_168767,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_168694]) ).
tff(c_168772,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168767,c_154]) ).
tff(c_168810,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_168783,c_156589,c_168772,c_26]) ).
tff(c_168926,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_168795,c_156587,c_156587,c_168810,c_168795,c_156587,c_754]) ).
tff(c_168927,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_168780]) ).
tff(c_168933,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168927,c_156]) ).
tff(c_168276,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_168277,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168276,c_132]) ).
tff(c_168289,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_168277,c_156592,c_156578,c_24]) ).
tff(c_168278,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_168276,c_124]) ).
tff(c_168310,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168289,c_168276,c_72]) ).
tff(c_168311,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_168310]) ).
tff(c_168312,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_168311]) ).
tff(c_168318,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168312,c_122]) ).
tff(c_168293,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168289,c_128]) ).
tff(c_168384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168278,c_167743,c_168318,c_168293,c_18]) ).
tff(c_168385,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_168311]) ).
tff(c_168433,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168289,c_168276,c_168385,c_76]) ).
tff(c_168434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_168268,c_198,c_168433]) ).
tff(c_168435,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_168437,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_168435]) ).
tff(c_168606,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168437,c_70]) ).
tff(c_168607,plain,
( ( op(e2,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_156574,c_168606]) ).
tff(c_168608,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_168607]) ).
tff(c_168630,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168608,c_168437,c_74]) ).
tff(c_168631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_168270,c_167746,c_168630]) ).
tff(c_168633,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_168607]) ).
tff(c_168444,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168437,c_180]) ).
tff(c_168643,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_156591,c_168633,c_168444,c_30]) ).
tff(c_168632,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_168607]) ).
tff(c_168654,plain,
( ( op(e3,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168643,c_168437,c_168632,c_74]) ).
tff(c_168655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_167746,c_168654]) ).
tff(c_168656,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_168435]) ).
tff(c_168669,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_168656]) ).
tff(c_168682,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168669,c_72]) ).
tff(c_168683,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_198,c_168682]) ).
tff(c_168684,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_168683]) ).
tff(c_168688,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_168684,c_122]) ).
tff(c_168771,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168767,c_150]) ).
tff(c_168958,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_168933,c_167743,c_168688,c_168771,c_18]) ).
tff(c_168960,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_168683]) ).
tff(c_168996,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_168664,c_156592,c_156578,c_24]) ).
tff(c_169000,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_168996,c_130]) ).
tff(c_169005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167755,c_168268,c_168960,c_169000,c_20]) ).
tff(c_169006,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_168658]) ).
tff(c_169012,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169006,c_186]) ).
tff(c_169017,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156592,c_156578,c_24]) ).
tff(c_169018,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_169017]) ).
tff(c_169030,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_168656]) ).
tff(c_169022,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169018,c_128]) ).
tff(c_169067,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_169022,c_167743,c_18]) ).
tff(c_169068,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_169067]) ).
tff(c_169190,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_169068,c_167737,c_167737,c_167740,c_169068,c_167737,c_752]) ).
tff(c_169191,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_169067]) ).
tff(c_169204,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169018,c_169030,c_169191,c_72]) ).
tff(c_169205,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_169204]) ).
tff(c_169209,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169205,c_168]) ).
tff(c_169042,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_169043,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_167756,c_169042]) ).
tff(c_169044,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_169043]) ).
tff(c_169249,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_169044,c_88]) ).
tff(c_169250,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_169209,c_169249]) ).
tff(c_169261,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_167756,c_156590,c_169209,c_28]) ).
tff(c_169214,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_6]) ).
tff(c_169357,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168264,c_169250,c_169250,c_167737,c_169261,c_169261,c_167737,c_169214,c_169214,c_167737,c_169006,c_169006,c_688]) ).
tff(c_169358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_196,c_198,c_169357]) ).
tff(c_169359,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_169043]) ).
tff(c_169364,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169359,c_154]) ).
tff(c_169370,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_167755,c_168268,c_20]) ).
tff(c_169371,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_169370]) ).
tff(c_169374,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169371,c_122]) ).
tff(c_169405,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169359,c_167737,c_38]) ).
tff(c_169406,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_169374,c_198,c_169405]) ).
tff(c_169380,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169030,c_70]) ).
tff(c_169381,plain,
( ( op(e2,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_156574,c_169380]) ).
tff(c_169382,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_169381]) ).
tff(c_169545,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_168264,c_169406,c_169406,c_169030,c_168264,c_168264,c_168264,c_169382,c_169382,c_168264,c_156570,c_156570,c_390]) ).
tff(c_169546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_204,c_196,c_169545]) ).
tff(c_169547,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_169381]) ).
tff(c_169551,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169547,c_112]) ).
tff(c_169010,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169006,c_116]) ).
tff(c_169572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169364,c_167744,c_169551,c_169010,c_10]) ).
tff(c_169573,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_169370]) ).
tff(c_169597,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169018,c_169030,c_169573,c_72]) ).
tff(c_169598,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_169597]) ).
tff(c_169602,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169598,c_150]) ).
tff(c_169609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169364,c_167744,c_169602,c_169010,c_10]) ).
tff(c_169610,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_168656]) ).
tff(c_169615,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169610,c_126]) ).
tff(c_169614,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169610,c_124]) ).
tff(c_169624,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_169022,c_167743,c_169614,c_18]) ).
tff(c_169629,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_169624,c_122]) ).
tff(c_169734,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167755,c_168268,c_169615,c_169629,c_20]) ).
tff(c_169735,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_169017]) ).
tff(c_169738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_169012,c_169735]) ).
tff(c_169739,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_168262]) ).
tff(c_169753,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_169754,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_167756,c_169753]) ).
tff(c_169755,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_169754]) ).
tff(c_169745,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169739,c_166]) ).
tff(c_169842,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_167756,c_156590,c_169745,c_28]) ).
tff(c_169930,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_169755,c_169842,c_88]) ).
tff(c_169931,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_169930]) ).
tff(c_169910,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_6]) ).
tff(c_169766,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156592,c_156578,c_24]) ).
tff(c_169767,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_169766]) ).
tff(c_169773,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169767,c_186]) ).
tff(c_169979,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_169773,c_156593,c_156577,c_16]) ).
tff(c_170065,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169739,c_169931,c_169931,c_167737,c_169842,c_169842,c_167737,c_169910,c_169910,c_167737,c_169979,c_169979,c_688]) ).
tff(c_170066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_196,c_198,c_170065]) ).
tff(c_170067,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_169766]) ).
tff(c_169757,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169755,c_136]) ).
tff(c_169761,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_169755,c_180]) ).
tff(c_170080,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170067,c_80]) ).
tff(c_170081,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_169761,c_167755,c_170080]) ).
tff(c_170092,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170081,c_167737,c_34]) ).
tff(c_170093,plain,
( ( op(e2,e3) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_170092]) ).
tff(c_170094,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_170093]) ).
tff(c_170097,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170094,c_134]) ).
tff(c_170140,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_169739,c_167740,c_58]) ).
tff(c_170141,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_156590,c_198,c_204,c_170140]) ).
tff(c_170153,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170141,c_169739,c_167740,c_50]) ).
tff(c_170154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170097,c_196,c_194,c_200,c_170153]) ).
tff(c_170156,plain,
op(e0,e3) != e3,
inference(splitRight,[status(thm)],[c_170093]) ).
tff(c_170169,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_169757,c_156589,c_170156,c_26]) ).
tff(c_170323,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170067,c_156587,c_156587,c_170169,c_170067,c_156587,c_754]) ).
tff(c_170325,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_169754]) ).
tff(c_169746,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169739,c_114]) ).
tff(c_170515,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_169746,c_14]) ).
tff(c_170516,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_170515]) ).
tff(c_170519,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170516,c_112]) ).
tff(c_169747,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_169739,c_110]) ).
tff(c_170689,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170519,c_167744,c_169747,c_10]) ).
tff(c_170694,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170689,c_116]) ).
tff(c_170324,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_169754]) ).
tff(c_170510,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170324,c_156]) ).
tff(c_170634,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170519,c_167744,c_169747,c_10]) ).
tff(c_170639,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170634,c_116]) ).
tff(c_170621,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156592,c_156578,c_24]) ).
tff(c_170622,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_170621]) ).
tff(c_170646,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_170622,c_156570,c_82]) ).
tff(c_170647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_170639,c_194,c_170646]) ).
tff(c_170648,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_170621]) ).
tff(c_170566,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_170519,c_167744,c_169747,c_10]) ).
tff(c_170571,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170566,c_116]) ).
tff(c_170326,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_170328,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170326,c_124]) ).
tff(c_170327,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170326,c_132]) ).
tff(c_170358,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_170327,c_156592,c_156578,c_24]) ).
tff(c_170362,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170358,c_128]) ).
tff(c_170406,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_170328,c_167743,c_170362,c_18]) ).
tff(c_170503,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_170406,c_167737,c_167737,c_167740,c_170406,c_167737,c_752]) ).
tff(c_170504,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_170527,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_170504]) ).
tff(c_170540,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170527,c_80]) ).
tff(c_170541,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_167755,c_170510,c_170540]) ).
tff(c_170603,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_170541,c_156570,c_82]) ).
tff(c_170604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_170571,c_194,c_170603]) ).
tff(c_170605,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_170504]) ).
tff(c_170607,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_170605]) ).
tff(c_170674,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170648,c_170607,c_80]) ).
tff(c_170675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_167755,c_170510,c_170674]) ).
tff(c_170676,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_170605]) ).
tff(c_170700,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170676,c_80]) ).
tff(c_170701,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_167755,c_170510,c_170700]) ).
tff(c_170738,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_170701,c_156570,c_82]) ).
tff(c_170739,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_170694,c_194,c_170738]) ).
tff(c_170740,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_170515]) ).
tff(c_170754,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_170740]) ).
tff(c_170759,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170754,c_170]) ).
tff(c_170790,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_170759,c_6]) ).
tff(c_170791,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_170740]) ).
tff(c_170795,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170791,c_174]) ).
tff(c_170805,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_170795,c_170504]) ).
tff(c_170806,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_170805]) ).
tff(c_170811,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170806,c_172]) ).
tff(c_170827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_170811,c_6]) ).
tff(c_170828,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_170805]) ).
tff(c_170835,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170828,c_180]) ).
tff(c_170850,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_167757,c_167746,c_156574,c_6]) ).
tff(c_170854,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170850,c_176]) ).
tff(c_170873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170325,c_156591,c_170835,c_170854,c_30]) ).
tff(c_170874,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_167739]) ).
tff(c_171391,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_170882,c_170874]) ).
tff(c_173831,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_173832,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_173831]) ).
tff(c_173836,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173832,c_170]) ).
tff(c_171395,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171391,c_158]) ).
tff(c_170888,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_170890,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170888,c_118]) ).
tff(c_170892,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170888,c_166]) ).
tff(c_170894,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170888,c_110]) ).
tff(c_170879,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_146]) ).
tff(c_170910,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_170894,c_170879,c_10]) ).
tff(c_170911,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_170910]) ).
tff(c_170914,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_170911,c_150]) ).
tff(c_170891,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170888,c_162]) ).
tff(c_170899,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_170882,c_170874]) ).
tff(c_170903,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170899,c_160]) ).
tff(c_170957,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_170891,c_170903,c_20]) ).
tff(c_170958,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_170957]) ).
tff(c_170963,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_170958,c_126]) ).
tff(c_170932,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_170937,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_170932,c_172]) ).
tff(c_170953,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_170899,c_167737,c_48]) ).
tff(c_170954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_170937,c_200,c_204,c_170953]) ).
tff(c_170955,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_170969,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_170963,c_170955]) ).
tff(c_170970,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_170969]) ).
tff(c_171008,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_170970,c_170958,c_72]) ).
tff(c_171009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156578,c_194,c_198,c_170914,c_171008]) ).
tff(c_171010,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_170969]) ).
tff(c_171024,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_170899,c_167737,c_48]) ).
tff(c_171025,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_171024]) ).
tff(c_170922,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_170890,c_156593,c_156577,c_16]) ).
tff(c_171212,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171010,c_167737,c_167737,c_156587,c_170888,c_170888,c_156587,c_171025,c_171025,c_167737,c_170922,c_170922,c_240]) ).
tff(c_171213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_198,c_171212]) ).
tff(c_171214,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_170957]) ).
tff(c_171221,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171214,c_168]) ).
tff(c_170904,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_170899,c_164]) ).
tff(c_171337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170892,c_156590,c_171221,c_170904,c_28]) ).
tff(c_171338,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_170910]) ).
tff(c_171357,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171338,c_116]) ).
tff(c_171388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170890,c_156593,c_156577,c_171357,c_16]) ).
tff(c_171389,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_171405,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_171395,c_171389]) ).
tff(c_171406,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_171405]) ).
tff(c_171413,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171406,c_110]) ).
tff(c_171418,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_170879,c_171413,c_10]) ).
tff(c_171419,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_171418]) ).
tff(c_171430,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_171431,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_171430]) ).
tff(c_171437,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171431,c_176]) ).
tff(c_171423,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171419,c_154]) ).
tff(c_171411,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171406,c_166]) ).
tff(c_171518,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_171519,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_171411,c_171518]) ).
tff(c_171520,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_171519]) ).
tff(c_171556,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_171520,c_96]) ).
tff(c_171557,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_171423,c_171556]) ).
tff(c_171458,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_171459,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_171437,c_171423,c_171458]) ).
tff(c_171465,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171459,c_168]) ).
tff(c_171435,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171431,c_172]) ).
tff(c_171442,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_171435,c_22]) ).
tff(c_171443,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_171442]) ).
tff(c_171447,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_171443,c_126]) ).
tff(c_171410,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171406,c_162]) ).
tff(c_171396,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171391,c_160]) ).
tff(c_171503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171465,c_171447,c_171410,c_171396,c_20]) ).
tff(c_171504,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_171442]) ).
tff(c_171506,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_171504]) ).
tff(c_171424,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171419,c_112]) ).
tff(c_171412,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171406,c_114]) ).
tff(c_171512,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171506,c_174]) ).
tff(c_171535,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_171424,c_171412,c_171512,c_14]) ).
tff(c_171699,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_171419,c_171419,c_156587,c_171557,c_171557,c_171506,c_171535,c_171535,c_171506,c_156587,c_156587,c_444]) ).
tff(c_171700,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_194,c_200,c_171699]) ).
tff(c_171702,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_171519]) ).
tff(c_171513,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171506,c_180]) ).
tff(c_171712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_171437,c_156591,c_171702,c_171513,c_30]) ).
tff(c_171713,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_171504]) ).
tff(c_171721,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_171713,c_180]) ).
tff(c_171727,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_171437,c_156591,c_171721,c_30]) ).
tff(c_171738,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_171727,c_96]) ).
tff(c_171739,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_171423,c_171738]) ).
tff(c_171809,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171739,c_171406,c_171391,c_58]) ).
tff(c_171810,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_171809]) ).
tff(c_171425,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171419,c_116]) ).
tff(c_171834,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_171425,c_156593,c_156577,c_16]) ).
tff(c_171910,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_171419,c_171419,c_171713,c_171810,c_171810,c_156587,c_171431,c_171431,c_167737,c_171834,c_171834,c_400]) ).
tff(c_171911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_196,c_198,c_171910]) ).
tff(c_171912,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_171418]) ).
tff(c_171925,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_171406,c_171912,c_64]) ).
tff(c_171926,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_171925]) ).
tff(c_171927,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_171926]) ).
tff(c_171931,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_171927,c_186]) ).
tff(c_171963,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_171931,c_156592,c_156578,c_24]) ).
tff(c_171397,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171391,c_164]) ).
tff(c_171917,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171912,c_154]) ).
tff(c_171975,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156589,c_171917,c_26]) ).
tff(c_171976,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_171975]) ).
tff(c_172001,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_171976,c_84]) ).
tff(c_172002,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_171397,c_200,c_172001]) ).
tff(c_172023,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_172002,c_171976,c_88]) ).
tff(c_172024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_171411,c_202,c_172023]) ).
tff(c_172025,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_171975]) ).
tff(c_172163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_171963,c_156587,c_156587,c_172025,c_171963,c_156587,c_754]) ).
tff(c_172164,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_171926]) ).
tff(c_172169,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172164,c_170]) ).
tff(c_172178,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_172179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_172169,c_200,c_204,c_172178]) ).
tff(c_172180,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_171405]) ).
tff(c_172187,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172180,c_114]) ).
tff(c_170881,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_100]) ).
tff(c_171398,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_171391,c_102]) ).
tff(c_173412,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_170881,c_156574,c_171398,c_6]) ).
tff(c_173416,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173412,c_170]) ).
tff(c_172185,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_172180,c_162]) ).
tff(c_172194,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_172185,c_171396,c_20]) ).
tff(c_172195,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_172194]) ).
tff(c_172199,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172195,c_122]) ).
tff(c_170878,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_167737,c_148]) ).
tff(c_172198,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172195,c_130]) ).
tff(c_172200,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172195,c_126]) ).
tff(c_172206,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_172207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172200,c_172206]) ).
tff(c_172208,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_172210,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_172208]) ).
tff(c_172212,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172210,c_132]) ).
tff(c_172249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172198,c_156592,c_156578,c_172212,c_24]) ).
tff(c_172250,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_172208]) ).
tff(c_172252,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_172250]) ).
tff(c_172541,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172252,c_78]) ).
tff(c_172542,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_172541]) ).
tff(c_172543,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_172542]) ).
tff(c_172548,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172543,c_176]) ).
tff(c_172615,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_172616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_172548,c_200,c_204,c_172615]) ).
tff(c_172618,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_172542]) ).
tff(c_172201,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172195,c_168]) ).
tff(c_172266,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_172267,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_172266]) ).
tff(c_172268,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_172267]) ).
tff(c_172271,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172268,c_138]) ).
tff(c_172374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172201,c_156590,c_172271,c_171397,c_28]) ).
tff(c_172375,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_172267]) ).
tff(c_172632,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_172375]) ).
tff(c_172635,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172632,c_134]) ).
tff(c_172655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172201,c_156590,c_172635,c_171397,c_28]) ).
tff(c_172656,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_172375]) ).
tff(c_172706,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_172656,c_96]) ).
tff(c_172707,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_172618,c_202,c_172706]) ).
tff(c_172376,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_172267]) ).
tff(c_172718,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_172618,c_156591,c_172376,c_30]) ).
tff(c_172377,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_170879,c_10]) ).
tff(c_172378,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_172377]) ).
tff(c_172383,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_172378,c_116]) ).
tff(c_172526,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156570,c_94]) ).
tff(c_172527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_172198,c_172383,c_202,c_172526]) ).
tff(c_172528,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_172377]) ).
tff(c_172530,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_172528]) ).
tff(c_172536,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_172530,c_116]) ).
tff(c_172726,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156570,c_82]) ).
tff(c_172727,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_172536,c_194,c_172726]) ).
tff(c_172748,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_172727,c_156570,c_94]) ).
tff(c_172749,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_172748]) ).
tff(c_172835,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_172707,c_172707,c_172252,c_172180,c_172180,c_167737,c_172718,c_172718,c_156587,c_172749,c_172749,c_648]) ).
tff(c_172836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_204,c_198,c_172835]) ).
tff(c_172837,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_172528]) ).
tff(c_172841,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_172837,c_150]) ).
tff(c_172981,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172252,c_172195,c_68]) ).
tff(c_172982,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_172981]) ).
tff(c_172983,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_172982]) ).
tff(c_173012,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172983,c_172252,c_172195,c_72]) ).
tff(c_173013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_172841,c_173012]) ).
tff(c_173014,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_172982]) ).
tff(c_173025,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_172252,c_172195,c_173014,c_72]) ).
tff(c_173026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156578,c_198,c_202,c_194,c_173025]) ).
tff(c_173027,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_172250]) ).
tff(c_173032,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173027,c_124]) ).
tff(c_173041,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156570,c_82]) ).
tff(c_173042,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_173041]) ).
tff(c_173043,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_173042]) ).
tff(c_173047,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173043,c_128]) ).
tff(c_173286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_172199,c_170878,c_173032,c_173047,c_18]) ).
tff(c_173287,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_173042]) ).
tff(c_173289,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_96]) ).
tff(c_173290,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_172201,c_173289]) ).
tff(c_173291,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_173290]) ).
tff(c_173295,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173291,c_176]) ).
tff(c_173354,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_173355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_173295,c_200,c_204,c_173354]) ).
tff(c_173356,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_173290]) ).
tff(c_173361,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173356,c_154]) ).
tff(c_173369,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173287,c_116]) ).
tff(c_173380,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_173361,c_170879,c_173369,c_10]) ).
tff(c_173432,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173287,c_172180,c_173380,c_64]) ).
tff(c_173433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_173416,c_204,c_202,c_173432]) ).
tff(c_173434,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_172194]) ).
tff(c_173441,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173434,c_168]) ).
tff(c_173784,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_173785,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_173441,c_173784]) ).
tff(c_173786,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_173785]) ).
tff(c_173791,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173786,c_178]) ).
tff(c_173439,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173434,c_122]) ).
tff(c_173585,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_170878,c_173439,c_18]) ).
tff(c_173586,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_173585]) ).
tff(c_173770,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_173586,c_167737,c_167737,c_156570,c_173586,c_167737,c_726]) ).
tff(c_173771,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_173585]) ).
tff(c_173776,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173771,c_128]) ).
tff(c_173854,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_156570,c_82]) ).
tff(c_173855,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_173776,c_194,c_173854]) ).
tff(c_173858,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173855,c_120]) ).
tff(c_173874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173836,c_172187,c_173791,c_173858,c_14]) ).
tff(c_173876,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_173785]) ).
tff(c_173440,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173434,c_126]) ).
tff(c_173447,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22]) ).
tff(c_173452,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173447,c_172]) ).
tff(c_173458,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_173459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_173452,c_200,c_204,c_173458]) ).
tff(c_173460,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22]) ).
tff(c_173464,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_173440,c_173460]) ).
tff(c_173465,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_173464]) ).
tff(c_173472,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173465,c_180]) ).
tff(c_173490,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_173491,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_173490]) ).
tff(c_173495,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173491,c_170]) ).
tff(c_173477,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_88]) ).
tff(c_173478,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_173441,c_173477]) ).
tff(c_173479,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_173478]) ).
tff(c_173485,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_173479,c_178]) ).
tff(c_173470,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_173465,c_174]) ).
tff(c_173534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173495,c_172187,c_173485,c_173470,c_14]) ).
tff(c_173535,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_173478]) ).
tff(c_173570,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156587,c_173535,c_84]) ).
tff(c_173571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_173472,c_171397,c_194,c_173570]) ).
tff(c_173572,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_173464]) ).
tff(c_173888,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_171391,c_167737,c_48]) ).
tff(c_173889,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_173888]) ).
tff(c_173893,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_173889,c_170]) ).
tff(c_173899,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_173893,c_172187,c_14]) ).
tff(c_173900,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_173899]) ).
tff(c_174054,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173572,c_167737,c_167737,c_167737,c_171391,c_171391,c_172180,c_173900,c_173900,c_172180,c_156570,c_156570,c_214]) ).
tff(c_174055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_198,c_196,c_174054]) ).
tff(c_174056,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_173899]) ).
tff(c_174083,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_173572,c_174056,c_173889,c_70]) ).
tff(c_174084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_173876,c_198,c_194,c_202,c_174083]) ).
tff(c_174085,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_156586]) ).
tff(c_180473,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_174085]) ).
tff(c_180478,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_120]) ).
tff(c_156579,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_188]) ).
tff(c_174086,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_156586]) ).
tff(c_180498,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_156570,c_94]) ).
tff(c_180499,plain,
( ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_180498]) ).
tff(c_180500,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_180499]) ).
tff(c_180506,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_192]) ).
tff(c_180485,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_14]) ).
tff(c_180487,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_174]) ).
tff(c_180536,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_180487,c_22]) ).
tff(c_180537,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_180536]) ).
tff(c_180541,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180537,c_172]) ).
tff(c_180491,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_114]) ).
tff(c_180476,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_118]) ).
tff(c_180560,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_12]) ).
tff(c_180561,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_180560]) ).
tff(c_180511,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_180547,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180537,c_180511,c_72]) ).
tff(c_180548,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_156578,c_198,c_202,c_180547]) ).
tff(c_180514,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180511,c_160]) ).
tff(c_180558,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_180514,c_156575,c_4]) ).
tff(c_180559,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_180558]) ).
tff(c_180489,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_170]) ).
tff(c_180524,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_180525,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_180489,c_180514,c_180524]) ).
tff(c_180589,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_180473,c_156570,c_82]) ).
tff(c_180590,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_180589]) ).
tff(c_180727,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180561,c_180548,c_180548,c_180537,c_180559,c_180559,c_180500,c_180485,c_180485,c_180525,c_180590,c_180590,c_474]) ).
tff(c_180728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_202,c_204,c_180727]) ).
tff(c_180729,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_180560]) ).
tff(c_180775,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180729,c_166]) ).
tff(c_180542,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180537,c_180]) ).
tff(c_180731,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_92]) ).
tff(c_180732,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_180542,c_180731]) ).
tff(c_180733,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_180732]) ).
tff(c_180737,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180559,c_164]) ).
tff(c_180752,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180733,c_180737]) ).
tff(c_180753,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_180732]) ).
tff(c_180784,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_180753,c_84]) ).
tff(c_180785,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_180775,c_196,c_180784]) ).
tff(c_180789,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180785,c_176]) ).
tff(c_180808,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_180559,c_180525,c_36]) ).
tff(c_180809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_180789,c_196,c_200,c_180808]) ).
tff(c_180810,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_180558]) ).
tff(c_180868,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_180810,c_180525,c_44]) ).
tff(c_180869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_180541,c_196,c_204,c_180868]) ).
tff(c_180870,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_180536]) ).
tff(c_180872,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_180870]) ).
tff(c_180479,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_186]) ).
tff(c_181007,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180872,c_180511,c_76]) ).
tff(c_181008,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_180479,c_196,c_204,c_181007]) ).
tff(c_181021,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180872,c_180511,c_181008,c_72]) ).
tff(c_181022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156578,c_194,c_202,c_198,c_181021]) ).
tff(c_181023,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_180870]) ).
tff(c_181478,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_180473,c_156570,c_82]) ).
tff(c_181479,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_181478]) ).
tff(c_181612,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_181023,c_181023,c_181479,c_180485,c_181023,c_718]) ).
tff(c_181613,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_181615,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_181613]) ).
tff(c_181617,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_181615,c_130]) ).
tff(c_181727,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_180473,c_156570,c_82]) ).
tff(c_181728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_181617,c_196,c_194,c_181727]) ).
tff(c_181729,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_181613]) ).
tff(c_181731,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_181729]) ).
tff(c_181759,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181731,c_72]) ).
tff(c_181760,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_198,c_181759]) ).
tff(c_181761,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_181760]) ).
tff(c_181762,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181731,c_80]) ).
tff(c_181763,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_180506,c_180487,c_204,c_181762]) ).
tff(c_181862,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181761,c_181731,c_181763,c_68]) ).
tff(c_181863,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_181862]) ).
tff(c_181948,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_181761,c_181761,c_181863,c_180485,c_181761,c_718]) ).
tff(c_181949,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_181760]) ).
tff(c_181985,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181731,c_181949,c_80]) ).
tff(c_181986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180506,c_180487,c_204,c_202,c_181985]) ).
tff(c_181987,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_181729]) ).
tff(c_182114,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_181987,c_80]) ).
tff(c_182115,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_180506,c_180487,c_202,c_182114]) ).
tff(c_182117,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182115,c_148]) ).
tff(c_182139,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_182140,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_180489,c_182117,c_182139]) ).
tff(c_182150,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_182140,c_36]) ).
tff(c_182151,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_182150]) ).
tff(c_182152,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_182151]) ).
tff(c_182157,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182152,c_100]) ).
tff(c_182164,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_182117,c_156576,c_182157,c_2]) ).
tff(c_182304,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182115,c_182164,c_182164,c_156570,c_182115,c_182164,c_726]) ).
tff(c_182305,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_182151]) ).
tff(c_182309,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182305,c_152]) ).
tff(c_181996,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181987,c_126]) ).
tff(c_182340,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_70]) ).
tff(c_182341,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_181996,c_202,c_156574,c_182340]) ).
tff(c_180504,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_142]) ).
tff(c_181995,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181987,c_162]) ).
tff(c_182037,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_181995,c_12]) ).
tff(c_182002,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_92]) ).
tff(c_182003,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_182002]) ).
tff(c_182004,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_182003]) ).
tff(c_182009,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182004,c_138]) ).
tff(c_181997,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_181987,c_168]) ).
tff(c_182026,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_180504,c_182009,c_181997,c_28]) ).
tff(c_182031,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182026,c_166]) ).
tff(c_182047,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182037,c_182031]) ).
tff(c_182048,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_182003]) ).
tff(c_182050,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_182048]) ).
tff(c_182052,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182050,c_134]) ).
tff(c_182087,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_181995,c_12]) ).
tff(c_182091,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182087,c_166]) ).
tff(c_182101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180504,c_182052,c_181997,c_182091,c_28]) ).
tff(c_182102,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_182048]) ).
tff(c_182364,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180500,c_182341,c_182102,c_84]) ).
tff(c_182365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_182309,c_182364]) ).
tff(c_182367,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_180499]) ).
tff(c_183435,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_180487,c_22]) ).
tff(c_183436,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_183435]) ).
tff(c_180490,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_178]) ).
tff(c_183290,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_182367,c_174086,c_156579,c_32]) ).
tff(c_182378,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_182379,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_180489,c_182378]) ).
tff(c_182380,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_182379]) ).
tff(c_182384,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182380,c_164]) ).
tff(c_182386,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182380,c_98]) ).
tff(c_182402,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_182386,c_156576,c_2]) ).
tff(c_182403,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_182402]) ).
tff(c_182406,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182403,c_148]) ).
tff(c_182366,plain,
op(e1,e0) = e0,
inference(splitRight,[status(thm)],[c_180499]) ).
tff(c_182391,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_182367,c_180490,c_182384,c_96]) ).
tff(c_180488,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_112]) ).
tff(c_180477,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_116]) ).
tff(c_182619,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_180488,c_180477,c_10]) ).
tff(c_182620,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_182619]) ).
tff(c_182623,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182620,c_150]) ).
tff(c_182415,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_180487,c_22]) ).
tff(c_182416,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_182415]) ).
tff(c_182372,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_182366,c_130]) ).
tff(c_182419,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182416,c_126]) ).
tff(c_182426,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_182372,c_182419,c_20]) ).
tff(c_182427,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_182426]) ).
tff(c_182431,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182427,c_162]) ).
tff(c_182493,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_182367,c_174086,c_156579,c_32]) ).
tff(c_182432,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182427,c_168]) ).
tff(c_182454,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_182384,c_182432,c_28]) ).
tff(c_182455,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_182454]) ).
tff(c_744,plain,
( ( op(e0,op(op(e0,e0),e0)) != e1 )
| ( op(e0,e0) != e3 )
| ( op(op(e0,e0),e0) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_182581,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_182493,c_182493,c_182455,c_156570,c_182493,c_744]) ).
tff(c_182582,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_182454]) ).
tff(c_182588,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182582,c_166]) ).
tff(c_182593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_182431,c_182588,c_12]) ).
tff(c_182594,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_182426]) ).
tff(c_182652,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182366,c_182416,c_182594,c_72]) ).
tff(c_182653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_182623,c_182652]) ).
tff(c_182654,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_182619]) ).
tff(c_182686,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182391,c_182654,c_182403,c_38]) ).
tff(c_182687,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_182686]) ).
tff(c_182773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182687,c_182403,c_182403,c_182380,c_182687,c_182403,c_752]) ).
tff(c_182774,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_182415]) ).
tff(c_182776,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_182774]) ).
tff(c_182781,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_182776,c_172]) ).
tff(c_182801,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_182380,c_182403,c_36]) ).
tff(c_182802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_182781,c_200,c_196,c_182801]) ).
tff(c_182803,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_182774]) ).
tff(c_182875,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_12]) ).
tff(c_182876,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_182875]) ).
tff(c_182879,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182876,c_166]) ).
tff(c_182845,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_182367,c_174086,c_156579,c_32]) ).
tff(c_182809,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_182803,c_126]) ).
tff(c_182828,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_182372,c_182809,c_20]) ).
tff(c_182829,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_182828]) ).
tff(c_182834,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_182829,c_168]) ).
tff(c_182855,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182845,c_182391,c_92]) ).
tff(c_182856,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_182834,c_204,c_182855]) ).
tff(c_182901,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182845,c_182856,c_182391,c_88]) ).
tff(c_182902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_182879,c_202,c_182901]) ).
tff(c_182903,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_182875]) ).
tff(c_183009,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_182380,c_182903,c_182903,c_180473,c_182380,c_182903,c_724]) ).
tff(c_183010,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_182828]) ).
tff(c_183032,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182366,c_182803,c_183010,c_76]) ).
tff(c_183033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_182406,c_183032]) ).
tff(c_183034,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_182402]) ).
tff(c_183040,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183034,c_100]) ).
tff(c_183143,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180485,c_66]) ).
tff(c_183144,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_183040,c_183143]) ).
tff(c_183145,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_183144]) ).
tff(c_183150,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183145,c_180]) ).
tff(c_183048,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_12]) ).
tff(c_183049,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_183048]) ).
tff(c_183056,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183049,c_110]) ).
tff(c_183039,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183034,c_146]) ).
tff(c_183128,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180488,c_180477,c_183056,c_183039,c_10]) ).
tff(c_183129,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_183048]) ).
tff(c_183133,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183129,c_162]) ).
tff(c_183038,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183034,c_148]) ).
tff(c_183206,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_182366,c_68]) ).
tff(c_183207,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_183150,c_183133,c_183038,c_183206]) ).
tff(c_183208,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_183144]) ).
tff(c_183310,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183208,c_180485,c_70]) ).
tff(c_183311,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_156574,c_183310]) ).
tff(c_183314,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_183311,c_138]) ).
tff(c_183134,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183129,c_166]) ).
tff(c_183330,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_182384,c_183314,c_183134,c_28]) ).
tff(c_183407,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_183290,c_183290,c_183330,c_156570,c_183290,c_744]) ).
tff(c_183408,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_182379]) ).
tff(c_183413,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_183408,c_152]) ).
tff(c_183420,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_182367,c_180490,c_183413,c_96]) ).
tff(c_183620,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183420,c_84]) ).
tff(c_183621,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_183620]) ).
tff(c_183622,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_183621]) ).
tff(c_183663,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183436,c_180485,c_70]) ).
tff(c_183664,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_156574,c_183663]) ).
tff(c_183700,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183622,c_183664,c_183420,c_92]) ).
tff(c_183701,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_183700]) ).
tff(c_183442,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_183436,c_172]) ).
tff(c_183461,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_183408,c_44]) ).
tff(c_183462,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_183442,c_204,c_183461]) ).
tff(c_183441,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_183436,c_126]) ).
tff(c_183448,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_182372,c_183441,c_20]) ).
tff(c_183449,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_183448]) ).
tff(c_183485,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183420,c_183449,c_183462,c_50]) ).
tff(c_183486,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_183485]) ).
tff(c_183596,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_183462,c_183486,c_183486,c_180485,c_183462,c_183486,c_736]) ).
tff(c_183597,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_183448]) ).
tff(c_183603,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183597,c_162]) ).
tff(c_183692,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_183603,c_12]) ).
tff(c_183777,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183436,c_183701,c_183701,c_183622,c_183420,c_183420,c_183692,c_183664,c_183664,c_183622,c_182366,c_182366,c_714]) ).
tff(c_183778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_196,c_183777]) ).
tff(c_183780,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_183621]) ).
tff(c_183793,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182367,c_174086,c_156579,c_183780,c_32]) ).
tff(c_183794,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_183435]) ).
tff(c_183796,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_183794]) ).
tff(c_183822,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183796,c_180485,c_70]) ).
tff(c_183823,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_156574,c_183822]) ).
tff(c_183878,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183823,c_183420,c_84]) ).
tff(c_183879,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_183878]) ).
tff(c_183880,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_183879]) ).
tff(c_183909,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183880,c_183823,c_183420,c_92]) ).
tff(c_183910,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_183909]) ).
tff(c_183801,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183796,c_172]) ).
tff(c_183809,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_183408,c_36]) ).
tff(c_183810,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_183801,c_200,c_183809]) ).
tff(c_183813,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_183810,c_158]) ).
tff(c_183869,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_180491,c_180476,c_183813,c_12]) ).
tff(c_183991,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183796,c_183910,c_183910,c_183880,c_183420,c_183420,c_183869,c_183823,c_183823,c_183880,c_182366,c_182366,c_714]) ).
tff(c_183992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_202,c_196,c_183991]) ).
tff(c_183993,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_183879]) ).
tff(c_184011,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183823,c_183420,c_183993,c_92]) ).
tff(c_184012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174086,c_198,c_204,c_196,c_184011]) ).
tff(c_184013,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_183794]) ).
tff(c_184020,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184013,c_180]) ).
tff(c_184142,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183420,c_92]) ).
tff(c_184143,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174086,c_204,c_184142]) ).
tff(c_184144,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_184143]) ).
tff(c_184147,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184144,c_136]) ).
tff(c_184154,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_180488,c_180477,c_10]) ).
tff(c_184155,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_184154]) ).
tff(c_184159,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184155,c_154]) ).
tff(c_184173,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_183413,c_184147,c_184159,c_26]) ).
tff(c_184177,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184173,c_140]) ).
tff(c_184213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182367,c_174086,c_156579,c_184177,c_32]) ).
tff(c_184214,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_184154]) ).
tff(c_184219,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184214,c_154]) ).
tff(c_184255,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_183413,c_184147,c_184219,c_26]) ).
tff(c_183409,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_182379]) ).
tff(c_184026,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184013,c_180485,c_66]) ).
tff(c_184027,plain,
( ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_184026]) ).
tff(c_184028,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_184027]) ).
tff(c_184031,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184028,c_144]) ).
tff(c_184131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_182367,c_174086,c_156579,c_184031,c_32]) ).
tff(c_184132,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_184027]) ).
tff(c_184137,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184132,c_102]) ).
tff(c_184307,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_183409,c_156575,c_184137,c_4]) ).
tff(c_184343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_184255,c_183408,c_183408,c_184307,c_184255,c_183408,c_750]) ).
tff(c_184344,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_184143]) ).
tff(c_184385,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_183420,c_184344,c_88]) ).
tff(c_184386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156579,c_184020,c_202,c_198,c_184385]) ).
tff(c_184387,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_14]) ).
tff(c_184393,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_180478,c_184387]) ).
tff(c_184394,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_184393]) ).
tff(c_184398,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184394,c_112]) ).
tff(c_184406,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180477,c_10]) ).
tff(c_184407,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_184406]) ).
tff(c_184413,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184407,c_110]) ).
tff(c_184410,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184407,c_146]) ).
tff(c_184411,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184407,c_150]) ).
tff(c_184418,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_184411,c_80]) ).
tff(c_184419,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_184418]) ).
tff(c_184422,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_132]) ).
tff(c_185208,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_184407,c_56]) ).
tff(c_185209,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_185208]) ).
tff(c_184399,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184394,c_170]) ).
tff(c_184430,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_184399,c_6]) ).
tff(c_184431,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_184430]) ).
tff(c_184436,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184431,c_102]) ).
tff(c_184424,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_130]) ).
tff(c_184397,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184394,c_174]) ).
tff(c_184442,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184422,c_184397,c_22]) ).
tff(c_184443,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_184442]) ).
tff(c_184447,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184443,c_126]) ).
tff(c_184544,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_180473,c_156570,c_82]) ).
tff(c_184545,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_184544]) ).
tff(c_184472,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184436,c_156575,c_4]) ).
tff(c_184473,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_184472]) ).
tff(c_184574,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_184431,c_184473,c_36]) ).
tff(c_184575,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_184574]) ).
tff(c_184486,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_184443,c_72]) ).
tff(c_184487,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_184486]) ).
tff(c_184488,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_184487]) ).
tff(c_184492,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184488,c_162]) ).
tff(c_184517,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_184407,c_56]) ).
tff(c_184518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_184492,c_202,c_184517]) ).
tff(c_184520,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_184487]) ).
tff(c_184598,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_184424,c_184447,c_184520,c_20]) ).
tff(c_184676,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184545,c_184407,c_184407,c_184575,c_184598,c_184598,c_184575,c_184394,c_184394,c_184545,c_184419,c_184419,c_410]) ).
tff(c_184677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_194,c_196,c_184676]) ).
tff(c_184678,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_184472]) ).
tff(c_184683,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184678,c_160]) ).
tff(c_184693,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_184424,c_184447,c_184683,c_20]) ).
tff(c_184698,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184693,c_162]) ).
tff(c_184721,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_184407,c_56]) ).
tff(c_184722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_184698,c_202,c_184721]) ).
tff(c_184723,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_184442]) ).
tff(c_184728,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184723,c_126]) ).
tff(c_185028,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184424,c_184728,c_20]) ).
tff(c_185029,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_185028]) ).
tff(c_185033,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185029,c_160]) ).
tff(c_184412,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184407,c_154]) ).
tff(c_184972,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_180473,c_156570,c_82]) ).
tff(c_184973,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_184972]) ).
tff(c_184435,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184431,c_176]) ).
tff(c_184729,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_184723,c_180]) ).
tff(c_184400,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184394,c_178]) ).
tff(c_184746,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_184435,c_184729,c_184400,c_30]) ).
tff(c_184425,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_192]) ).
tff(c_184807,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_184425,c_174086,c_156579,c_32]) ).
tff(c_184751,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_184746,c_138]) ).
tff(c_184767,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_184751,c_28]) ).
tff(c_184768,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_184767]) ).
tff(c_184824,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_184407,c_56]) ).
tff(c_184825,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_184824]) ).
tff(c_184927,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184807,c_184407,c_184407,c_184807,c_184768,c_184768,c_184723,c_184746,c_184746,c_184825,c_156570,c_156570,c_454]) ).
tff(c_184928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_202,c_194,c_184927]) ).
tff(c_184929,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_184767]) ).
tff(c_184931,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_184929]) ).
tff(c_184938,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184931,c_164]) ).
tff(c_184735,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184410,c_156576,c_2]) ).
tff(c_184736,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_184735]) ).
tff(c_184954,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_184431,c_184736,c_36]) ).
tff(c_184955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_184938,c_196,c_184954]) ).
tff(c_184956,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_184929]) ).
tff(c_184997,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184973,c_184746,c_184956,c_96]) ).
tff(c_184998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_184412,c_184997]) ).
tff(c_184999,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_184735]) ).
tff(c_185006,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184999,c_98]) ).
tff(c_185088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184436,c_185033,c_156575,c_185006,c_4]) ).
tff(c_185089,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_185028]) ).
tff(c_185096,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185089,c_168]) ).
tff(c_185005,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184999,c_152]) ).
tff(c_185017,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_184435,c_184729,c_184400,c_30]) ).
tff(c_185106,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185017,c_84]) ).
tff(c_185107,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_185096,c_185005,c_185106]) ).
tff(c_185117,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185107,c_185017,c_88]) ).
tff(c_185118,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_185117]) ).
tff(c_185119,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_185118]) ).
tff(c_185129,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_184436,c_156575,c_185006,c_4]) ).
tff(c_185155,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185119,c_185089,c_185129,c_62]) ).
tff(c_185156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_184413,c_204,c_185155]) ).
tff(c_185157,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_185118]) ).
tff(c_185168,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_184436,c_156575,c_185006,c_4]) ).
tff(c_185285,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185209,c_185157,c_185157,c_184723,c_185168,c_185168,c_184723,c_185017,c_185017,c_185209,c_156570,c_156570,c_614]) ).
tff(c_185286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_202,c_194,c_185285]) ).
tff(c_185287,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_184430]) ).
tff(c_185291,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185287,c_172]) ).
tff(c_185311,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_184419,c_72]) ).
tff(c_185312,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_185311]) ).
tff(c_185313,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_185312]) ).
tff(c_185318,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_185313,c_126]) ).
tff(c_185352,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184424,c_185318,c_20]) ).
tff(c_185353,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_185352]) ).
tff(c_185356,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185353,c_122]) ).
tff(c_185317,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_185313,c_124]) ).
tff(c_185294,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185287,c_100]) ).
tff(c_185300,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_184410,c_185294,c_156576,c_2]) ).
tff(c_185304,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185300,c_148]) ).
tff(c_185409,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184411,c_185356,c_185317,c_185304,c_18]) ).
tff(c_185410,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_185352]) ).
tff(c_185416,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185410,c_168]) ).
tff(c_185305,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185300,c_152]) ).
tff(c_185292,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185287,c_176]) ).
tff(c_185319,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_185313,c_180]) ).
tff(c_185337,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_185292,c_185319,c_184400,c_30]) ).
tff(c_185438,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185337,c_84]) ).
tff(c_185439,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_185416,c_185305,c_185438]) ).
tff(c_185422,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_184407,c_56]) ).
tff(c_185423,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_185422]) ).
tff(c_185293,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185287,c_102]) ).
tff(c_185306,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185300,c_98]) ).
tff(c_185326,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_185293,c_156575,c_185306,c_4]) ).
tff(c_185464,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185410,c_185423,c_185326,c_58]) ).
tff(c_185465,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_185464]) ).
tff(c_185552,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_185439,c_185439,c_185465,c_156570,c_185439,c_744]) ).
tff(c_185554,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_185312]) ).
tff(c_185696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184422,c_185291,c_185554,c_184397,c_22]) ).
tff(c_185698,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_184418]) ).
tff(c_186304,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_156570,c_94]) ).
tff(c_186305,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_185698,c_204,c_202,c_186304]) ).
tff(c_186309,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186305,c_144]) ).
tff(c_185699,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_185704,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_185699,c_126]) ).
tff(c_186269,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_185704,c_184397,c_22]) ).
tff(c_186270,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_186269]) ).
tff(c_186275,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186270,c_172]) ).
tff(c_186062,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_184399,c_6]) ).
tff(c_186063,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_186062]) ).
tff(c_186067,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186063,c_176]) ).
tff(c_185705,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_185699,c_168]) ).
tff(c_185702,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_185699,c_160]) ).
tff(c_185737,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_185738,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_185702,c_184410,c_185737]) ).
tff(c_184401,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_184394,c_114]) ).
tff(c_185795,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_184413,c_180476,c_184401,c_12]) ).
tff(c_185712,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156579,c_88]) ).
tff(c_185713,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_185712]) ).
tff(c_185719,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_185713,c_180]) ).
tff(c_185726,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_185698,c_180479,c_156578,c_24]) ).
tff(c_185748,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185726,c_185699,c_72]) ).
tff(c_185749,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_185719,c_202,c_185748]) ).
tff(c_185769,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_185704,c_185719,c_184397,c_22]) ).
tff(c_185715,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_185713,c_136]) ).
tff(c_185779,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184412,c_185715,c_26]) ).
tff(c_185780,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_185779]) ).
tff(c_185783,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_185780,c_134]) ).
tff(c_185805,plain,
( ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185699,c_185795,c_58]) ).
tff(c_185806,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_185783,c_204,c_198,c_185805]) ).
tff(c_185833,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_185738,c_185806,c_36]) ).
tff(c_185834,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_185833]) ).
tff(c_185906,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185795,c_185749,c_185749,c_185769,c_185806,c_185806,c_185795,c_185713,c_185713,c_185834,c_185726,c_185726,c_490]) ).
tff(c_185907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_202,c_196,c_185906]) ).
tff(c_185908,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_185779]) ).
tff(c_185913,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185908,c_152]) ).
tff(c_185955,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_185738,c_36]) ).
tff(c_185956,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_185913,c_185955]) ).
tff(c_185987,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_185738,c_185956,c_44]) ).
tff(c_185988,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_185987]) ).
tff(c_185732,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_185726,c_192]) ).
tff(c_185759,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_174086,c_156579,c_185732,c_32]) ).
tff(c_185934,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_184413,c_180476,c_184401,c_12]) ).
tff(c_186045,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_185988,c_185908,c_185908,c_185759,c_185699,c_185699,c_185934,c_185713,c_185713,c_185934,c_156570,c_156570,c_678]) ).
tff(c_186046,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_194,c_186045]) ).
tff(c_186047,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_185712]) ).
tff(c_186049,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_186047]) ).
tff(c_186089,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186049,c_96]) ).
tff(c_186090,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_186067,c_185705,c_202,c_186089]) ).
tff(c_186156,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_184407,c_56]) ).
tff(c_186157,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_186156]) ).
tff(c_186265,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186090,c_184407,c_184407,c_186090,c_185699,c_185699,c_186090,c_186063,c_186063,c_186157,c_156570,c_156570,c_398]) ).
tff(c_186266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_194,c_186265]) ).
tff(c_186267,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_186062]) ).
tff(c_186281,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186275,c_186267]) ).
tff(c_186282,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_186269]) ).
tff(c_186342,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186282,c_184394,c_186267,c_78]) ).
tff(c_186343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186309,c_202,c_200,c_204,c_186342]) ).
tff(c_186344,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_186047]) ).
tff(c_186368,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_185702,c_156575,c_4]) ).
tff(c_186369,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_186368]) ).
tff(c_186373,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186369,c_98]) ).
tff(c_186408,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_184410,c_186373,c_156576,c_2]) ).
tff(c_186413,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_186408,c_152]) ).
tff(c_186356,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_184399,c_6]) ).
tff(c_186357,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_186356]) ).
tff(c_186361,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186357,c_176]) ).
tff(c_186380,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186344,c_96]) ).
tff(c_186381,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_186361,c_202,c_184412,c_186380]) ).
tff(c_186434,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186381,c_186344,c_84]) ).
tff(c_186435,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_184400,c_194,c_186413,c_186434]) ).
tff(c_186436,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_186368]) ).
tff(c_186585,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186344,c_185699,c_186436,c_58]) ).
tff(c_186586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_180476,c_196,c_186585]) ).
tff(c_186587,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_186356]) ).
tff(c_186623,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186344,c_185699,c_50]) ).
tff(c_186624,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_184401,c_186623]) ).
tff(c_186647,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_186587,c_186624,c_48]) ).
tff(c_186648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_184410,c_186647]) ).
tff(c_186650,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_185697,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_184418]) ).
tff(c_186651,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_186650,c_185697]) ).
tff(c_186657,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186651,c_180]) ).
tff(c_186656,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186651,c_172]) ).
tff(c_186806,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_186656,c_156574,c_184399,c_6]) ).
tff(c_186810,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186806,c_176]) ).
tff(c_186816,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_186657,c_186810,c_184400,c_30]) ).
tff(c_186768,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_184410,c_156576,c_2]) ).
tff(c_186769,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_186768]) ).
tff(c_186774,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186769,c_100]) ).
tff(c_186780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186656,c_186774,c_156574,c_184399,c_6]) ).
tff(c_186781,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_186768]) ).
tff(c_186831,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_186806,c_186781,c_48]) ).
tff(c_186832,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_186831]) ).
tff(c_186837,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_186832,c_164]) ).
tff(c_186649,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_186662,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_186649]) ).
tff(c_186710,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186651,c_186662,c_72]) ).
tff(c_186711,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_156578,c_202,c_194,c_186710]) ).
tff(c_186752,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186651,c_186662,c_186711,c_76]) ).
tff(c_186753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180479,c_204,c_196,c_198,c_186752]) ).
tff(c_186754,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_186649]) ).
tff(c_186756,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_186754]) ).
tff(c_186763,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_186756,c_168]) ).
tff(c_186821,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186816,c_138]) ).
tff(c_186890,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_186837,c_186763,c_186821,c_28]) ).
tff(c_186869,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186816,c_92]) ).
tff(c_186870,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174086,c_198,c_186763,c_186869]) ).
tff(c_186899,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186816,c_186890,c_186870,c_96]) ).
tff(c_186900,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_186899]) ).
tff(c_186852,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_184413,c_180476,c_184401,c_12]) ).
tff(c_186981,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_186900,c_184407,c_184407,c_186781,c_186890,c_186890,c_186781,c_184394,c_184394,c_186852,c_156570,c_156570,c_438]) ).
tff(c_186982,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_194,c_194,c_186981]) ).
tff(c_186983,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_186754]) ).
tff(c_186990,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_186983,c_162]) ).
tff(c_187277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184413,c_180476,c_186990,c_184401,c_12]) ).
tff(c_187278,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_184406]) ).
tff(c_187280,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_184398,c_187278]) ).
tff(c_187292,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_184394,c_187280,c_64]) ).
tff(c_187293,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_187292]) ).
tff(c_187297,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187293,c_158]) ).
tff(c_187298,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187293,c_162]) ).
tff(c_187299,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187293,c_166]) ).
tff(c_187304,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_187305,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_187297,c_187304]) ).
tff(c_187306,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_187305]) ).
tff(c_187309,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187306,c_172]) ).
tff(c_187286,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187280,c_154]) ).
tff(c_187317,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156579,c_187286,c_88]) ).
tff(c_187318,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_187317]) ).
tff(c_187324,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187318,c_180]) ).
tff(c_187331,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_187309,c_187324,c_184397,c_22]) ).
tff(c_187336,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187331,c_124]) ).
tff(c_187285,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187280,c_150]) ).
tff(c_187312,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187306,c_100]) ).
tff(c_187356,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_174086,c_156579,c_32]) ).
tff(c_187357,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_187356]) ).
tff(c_187362,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187357,c_192]) ).
tff(c_187367,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180479,c_156578,c_24]) ).
tff(c_187368,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_187367]) ).
tff(c_187369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187362,c_187368]) ).
tff(c_187370,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_187367]) ).
tff(c_187337,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187331,c_126]) ).
tff(c_187342,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_187298,c_187337,c_20]) ).
tff(c_187343,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_187342]) ).
tff(c_187532,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187370,c_187331,c_187343,c_80]) ).
tff(c_187533,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_187532]) ).
tff(c_187382,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187357,c_187318,c_92]) ).
tff(c_187383,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_187382]) ).
tff(c_187384,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_187383]) ).
tff(c_187484,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187384,c_187293,c_187293,c_184394,c_187384,c_187293,c_734]) ).
tff(c_187485,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_187383]) ).
tff(c_187490,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187485,c_152]) ).
tff(c_187508,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_187312,c_187490,c_156576,c_2]) ).
tff(c_187518,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187357,c_187318,c_187485,c_84]) ).
tff(c_187519,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_187518]) ).
tff(c_187621,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187357,c_187533,c_187533,c_187508,c_187519,c_187519,c_187508,c_184394,c_184394,c_187331,c_180473,c_180473,c_568]) ).
tff(c_187622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_194,c_198,c_187621]) ).
tff(c_187623,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_187356]) ).
tff(c_187627,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187623,c_140]) ).
tff(c_187641,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_187286,c_187627,c_26]) ).
tff(c_187642,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_187641]) ).
tff(c_187701,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187623,c_187318,c_187642,c_92]) ).
tff(c_187702,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_187701]) ).
tff(c_187750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_187702,c_187293,c_187293,c_184394,c_187702,c_187293,c_734]) ).
tff(c_187751,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_187641]) ).
tff(c_187756,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187751,c_152]) ).
tff(c_187763,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_187312,c_187756,c_156576,c_2]) ).
tff(c_187767,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187763,c_148]) ).
tff(c_187779,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_187336,c_187285,c_187767,c_18]) ).
tff(c_187783,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187779,c_128]) ).
tff(c_187788,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187623,c_180473,c_156570,c_94]) ).
tff(c_187789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_187783,c_204,c_202,c_187788]) ).
tff(c_187790,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_187342]) ).
tff(c_187796,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187790,c_160]) ).
tff(c_187947,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_187297,c_156575,c_187796,c_4]) ).
tff(c_187951,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187947,c_164]) ).
tff(c_187322,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187318,c_138]) ).
tff(c_187797,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_187790,c_168]) ).
tff(c_187984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187299,c_187951,c_187322,c_187797,c_28]) ).
tff(c_187985,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_187317]) ).
tff(c_187991,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_187985,c_168]) ).
tff(c_188021,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180479,c_156578,c_24]) ).
tff(c_188022,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_188021]) ).
tff(c_188027,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188022,c_192]) ).
tff(c_188284,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_188027,c_174086,c_156579,c_32]) ).
tff(c_187310,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_187306,c_176]) ).
tff(c_187986,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_187317]) ).
tff(c_187997,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_187310,c_187986,c_184400,c_30]) ).
tff(c_188003,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_187997,c_180]) ).
tff(c_188008,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_187309,c_188003,c_184397,c_22]) ).
tff(c_188397,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187293,c_187280,c_187280,c_188284,c_187293,c_187293,c_188008,c_187997,c_187997,c_187293,c_156570,c_156570,c_390]) ).
tff(c_188398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_202,c_200,c_188397]) ).
tff(c_188399,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_188021]) ).
tff(c_188563,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188399,c_130]) ).
tff(c_188592,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_187298,c_187991,c_188563,c_20]) ).
tff(c_188596,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188592,c_160]) ).
tff(c_188432,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188399,c_188008,c_80]) ).
tff(c_188433,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_187298,c_188432]) ).
tff(c_188401,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_187312,c_156576,c_2]) ).
tff(c_188402,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_188401]) ).
tff(c_188557,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188433,c_188402,c_188402,c_156570,c_188433,c_188402,c_726]) ).
tff(c_188558,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_188401]) ).
tff(c_188577,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_188558,c_98]) ).
tff(c_188620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_187297,c_188596,c_156575,c_188577,c_4]) ).
tff(c_188622,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_187305]) ).
tff(c_188632,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_184400,c_30]) ).
tff(c_188633,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_188632]) ).
tff(c_188637,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188633,c_144]) ).
tff(c_188693,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_188637,c_174086,c_156579,c_32]) ).
tff(c_188639,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188633,c_180]) ).
tff(c_188644,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_188622,c_156574,c_184399,c_6]) ).
tff(c_188648,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188644,c_172]) ).
tff(c_188656,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_188639,c_188648,c_184397,c_22]) ).
tff(c_188667,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180479,c_156578,c_24]) ).
tff(c_188668,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_188667]) ).
tff(c_188839,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_187293,c_187280,c_187280,c_188693,c_187293,c_187293,c_187293,c_188656,c_188656,c_188693,c_188668,c_188668,c_386]) ).
tff(c_188840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_204,c_196,c_188839]) ).
tff(c_188841,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_188667]) ).
tff(c_188621,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_187305]) ).
tff(c_188624,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_188621,c_148]) ).
tff(c_188855,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188841,c_188656,c_76]) ).
tff(c_188856,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_188855]) ).
tff(c_188857,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_188856]) ).
tff(c_188889,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188841,c_188656,c_188857,c_80]) ).
tff(c_188890,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_188624,c_188889]) ).
tff(c_188891,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_188856]) ).
tff(c_188902,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188841,c_188656,c_188891,c_80]) ).
tff(c_188903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_187298,c_204,c_188902]) ).
tff(c_188904,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_188632]) ).
tff(c_189090,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_188904]) ).
tff(c_189097,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189090,c_180]) ).
tff(c_188906,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_184397,c_22]) ).
tff(c_188907,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_188906]) ).
tff(c_188929,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188907,c_72]) ).
tff(c_188930,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_156578,c_202,c_187285,c_188929]) ).
tff(c_188972,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_187297,c_156575,c_4]) ).
tff(c_188973,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_188972]) ).
tff(c_188977,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_188973,c_102]) ).
tff(c_188990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188622,c_188977,c_156574,c_184399,c_6]) ).
tff(c_188991,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_188972]) ).
tff(c_189008,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188930,c_187293,c_188991,c_58]) ).
tff(c_189009,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_189008]) ).
tff(c_189087,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_189009,c_187293,c_187293,c_184394,c_189009,c_187293,c_734]) ).
tff(c_189088,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_188906]) ).
tff(c_189102,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_189097,c_189088]) ).
tff(c_189109,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189102,c_172]) ).
tff(c_189131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188622,c_189109,c_156574,c_184399,c_6]) ).
tff(c_189132,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_188904]) ).
tff(c_189157,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189132,c_176]) ).
tff(c_189192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_188622,c_189157,c_156574,c_184399,c_6]) ).
tff(c_189193,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_184393]) ).
tff(c_192470,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_64]) ).
tff(c_192471,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_192470]) ).
tff(c_192472,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_192471]) ).
tff(c_189206,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_189207,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_189206]) ).
tff(c_189208,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_189207]) ).
tff(c_189211,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189208,c_172]) ).
tff(c_189219,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180479,c_156578,c_24]) ).
tff(c_189220,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_189219]) ).
tff(c_189226,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189220,c_192]) ).
tff(c_189214,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189208,c_100]) ).
tff(c_189197,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189193,c_174]) ).
tff(c_189212,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189208,c_176]) ).
tff(c_189198,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189193,c_112]) ).
tff(c_189455,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180477,c_189198,c_10]) ).
tff(c_189456,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_189455]) ).
tff(c_189460,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189456,c_154]) ).
tff(c_189200,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189193,c_178]) ).
tff(c_189233,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156579,c_189200,c_88]) ).
tff(c_189234,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_189233]) ).
tff(c_189477,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189234,c_96]) ).
tff(c_189478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189226,c_189212,c_202,c_189460,c_189477]) ).
tff(c_189479,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_189455]) ).
tff(c_189488,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189479,c_110]) ).
tff(c_189225,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189220,c_130]) ).
tff(c_189239,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189234,c_168]) ).
tff(c_189261,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_189225,c_189239,c_20]) ).
tff(c_189262,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_189261]) ).
tff(c_189267,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189262,c_126]) ).
tff(c_189272,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_189211,c_189267,c_189197,c_22]) ).
tff(c_189276,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189272,c_180]) ).
tff(c_189317,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_189212,c_189200,c_189276,c_30]) ).
tff(c_189201,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189193,c_114]) ).
tff(c_189281,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180476,c_189201,c_12]) ).
tff(c_189282,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_189281]) ).
tff(c_189286,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189282,c_110]) ).
tff(c_189245,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189220,c_72]) ).
tff(c_189246,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_189197,c_189245]) ).
tff(c_189247,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_189246]) ).
tff(c_189248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189239,c_189247]) ).
tff(c_189249,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_189246]) ).
tff(c_189300,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189249,c_46]) ).
tff(c_189301,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_189286,c_189214,c_189300]) ).
tff(c_189343,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189317,c_189234,c_189301,c_84]) ).
tff(c_189344,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_189343]) ).
tff(c_189451,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189344,c_189301,c_189301,c_189272,c_189262,c_189262,c_189272,c_189317,c_189317,c_189282,c_156570,c_156570,c_678]) ).
tff(c_189452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_200,c_200,c_189451]) ).
tff(c_189453,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_189281]) ).
tff(c_189493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189488,c_189453]) ).
tff(c_189494,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_189261]) ).
tff(c_189500,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189494,c_126]) ).
tff(c_189622,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_189211,c_189197,c_189500,c_22]) ).
tff(c_189626,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189622,c_180]) ).
tff(c_189637,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189234,c_92]) ).
tff(c_189638,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174086,c_189626,c_198,c_189637]) ).
tff(c_189643,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189638,c_152]) ).
tff(c_189506,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180477,c_189198,c_10]) ).
tff(c_189507,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_189506]) ).
tff(c_189512,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189507,c_110]) ).
tff(c_189213,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189208,c_102]) ).
tff(c_189498,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189494,c_160]) ).
tff(c_189545,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_189213,c_156575,c_189498,c_4]) ).
tff(c_189608,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189234,c_189494,c_189545,c_62]) ).
tff(c_189609,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_189512,c_204,c_189608]) ).
tff(c_189610,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_189506]) ).
tff(c_189615,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189610,c_146]) ).
tff(c_189664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189214,c_189643,c_156576,c_189615,c_2]) ).
tff(c_189665,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_189233]) ).
tff(c_189873,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189665,c_92]) ).
tff(c_189874,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174086,c_198,c_189873]) ).
tff(c_189875,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_189874]) ).
tff(c_189880,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189875,c_138]) ).
tff(c_189666,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_189233]) ).
tff(c_189968,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_189880,c_189666,c_28]) ).
tff(c_189969,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_189968]) ).
tff(c_190007,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189875,c_189969,c_189665,c_84]) ).
tff(c_190008,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_190007]) ).
tff(c_189889,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_64]) ).
tff(c_189890,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_189889]) ).
tff(c_189891,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_189890]) ).
tff(c_189896,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189891,c_110]) ).
tff(c_189224,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189220,c_128]) ).
tff(c_189767,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_64]) ).
tff(c_189768,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_189767]) ).
tff(c_189769,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_189768]) ).
tff(c_189774,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_189769,c_110]) ).
tff(c_189781,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_189774,c_180477,c_189198,c_10]) ).
tff(c_189677,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_189214,c_156576,c_2]) ).
tff(c_189678,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_189677]) ).
tff(c_189801,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189665,c_189781,c_189678,c_46]) ).
tff(c_189802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_189224,c_200,c_204,c_189801]) ).
tff(c_189804,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_189768]) ).
tff(c_189683,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_189678,c_98]) ).
tff(c_189813,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_189213,c_189683,c_156575,c_4]) ).
tff(c_189817,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189813,c_158]) ).
tff(c_189844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189804,c_180476,c_189201,c_189817,c_12]) ).
tff(c_189845,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_189677]) ).
tff(c_189850,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_189845,c_146]) ).
tff(c_189937,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189896,c_180477,c_189198,c_189850,c_10]) ).
tff(c_189938,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_189890]) ).
tff(c_189988,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_189938,c_52]) ).
tff(c_189989,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_189988]) ).
tff(c_189672,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_189665,c_156]) ).
tff(c_189859,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189220,c_72]) ).
tff(c_189860,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_189197,c_189672,c_189859]) ).
tff(c_190094,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190008,c_189938,c_189938,c_189989,c_189860,c_189860,c_189989,c_189193,c_189193,c_189845,c_190008,c_190008,c_412]) ).
tff(c_190095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_194,c_200,c_190094]) ).
tff(c_190096,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_189968]) ).
tff(c_190110,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190096,c_142]) ).
tff(c_190119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189226,c_174086,c_156579,c_190110,c_32]) ).
tff(c_190120,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_189874]) ).
tff(c_190126,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190120,c_164]) ).
tff(c_190133,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_189208,c_189845,c_44]) ).
tff(c_190134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_190126,c_196,c_190133]) ).
tff(c_190135,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_189219]) ).
tff(c_190565,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_64]) ).
tff(c_190566,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_190565]) ).
tff(c_190567,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_190566]) ).
tff(c_190571,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190567,c_162]) ).
tff(c_190141,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_130]) ).
tff(c_190589,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_190571,c_190141,c_20]) ).
tff(c_190590,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_190589]) ).
tff(c_190595,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190590,c_168]) ).
tff(c_190476,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_189212,c_189200,c_30]) ).
tff(c_190477,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_190476]) ).
tff(c_190482,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190477,c_180]) ).
tff(c_190148,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156579,c_189200,c_88]) ).
tff(c_190149,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_190148]) ).
tff(c_190196,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190149,c_62]) ).
tff(c_190197,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_189213,c_190196]) ).
tff(c_190198,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_190197]) ).
tff(c_190204,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190198,c_162]) ).
tff(c_190184,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_189214,c_156576,c_2]) ).
tff(c_190185,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_190184]) ).
tff(c_190191,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190185,c_98]) ).
tff(c_190253,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_189213,c_190191,c_156575,c_4]) ).
tff(c_190257,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190253,c_158]) ).
tff(c_190280,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190204,c_180476,c_189201,c_190257,c_12]) ).
tff(c_190282,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_190197]) ).
tff(c_190139,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_132]) ).
tff(c_190173,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_189211,c_189197,c_190139,c_22]) ).
tff(c_190178,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190173,c_126]) ).
tff(c_190154,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190149,c_168]) ).
tff(c_190292,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190282,c_190178,c_190154,c_190141,c_20]) ).
tff(c_190293,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_190184]) ).
tff(c_190298,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190293,c_146]) ).
tff(c_190338,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_180477,c_189198,c_190298,c_10]) ).
tff(c_190342,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_190338,c_110]) ).
tff(c_190389,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_190342,c_180476,c_189201,c_12]) ).
tff(c_190306,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_190173,c_72]) ).
tff(c_190307,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_190154,c_190306]) ).
tff(c_190162,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_180473,c_156570,c_94]) ).
tff(c_190163,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_190162]) ).
tff(c_190460,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190389,c_190307,c_190307,c_190293,c_190389,c_190389,c_190163,c_189208,c_189208,c_190293,c_190135,c_190135,c_498]) ).
tff(c_190461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_196,c_190460]) ).
tff(c_190462,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_190148]) ).
tff(c_190469,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_190462,c_156]) ).
tff(c_190487,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_72]) ).
tff(c_190488,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_189197,c_190469,c_190487]) ).
tff(c_190536,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_190488,c_80]) ).
tff(c_190537,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_189211,c_202,c_190536]) ).
tff(c_190549,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_190488,c_190537,c_76]) ).
tff(c_190550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_190482,c_198,c_204,c_190549]) ).
tff(c_190551,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_190476]) ).
tff(c_190614,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190551,c_190462,c_92]) ).
tff(c_190615,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174086,c_196,c_190595,c_198,c_190614]) ).
tff(c_190616,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_190589]) ).
tff(c_190672,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190135,c_190616,c_80]) ).
tff(c_190673,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_189211,c_202,c_190672]) ).
tff(c_190555,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190551,c_138]) ).
tff(c_190578,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190567,c_50]) ).
tff(c_190579,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_190555,c_190141,c_200,c_190578]) ).
tff(c_190584,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190579,c_98]) ).
tff(c_190632,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_189214,c_156576,c_190584,c_2]) ).
tff(c_190764,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_190673,c_190632,c_190632,c_156570,c_190673,c_190632,c_726]) ).
tff(c_190766,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_190566]) ).
tff(c_190883,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190551,c_190462,c_92]) ).
tff(c_190884,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_174086,c_196,c_198,c_190883]) ).
tff(c_190890,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_190884,c_164]) ).
tff(c_190776,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_190555,c_190141,c_50]) ).
tff(c_190777,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_190776]) ).
tff(c_190898,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190777,c_158]) ).
tff(c_190951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_189213,c_190890,c_156575,c_190898,c_4]) ).
tff(c_190952,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_190776]) ).
tff(c_190956,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_190952,c_158]) ).
tff(c_191123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_190766,c_180476,c_189201,c_190956,c_12]) ).
tff(c_191124,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_189207]) ).
tff(c_191139,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_191124]) ).
tff(c_191145,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191139,c_98]) ).
tff(c_191125,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_189207]) ).
tff(c_191141,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191139,c_148]) ).
tff(c_191152,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_180479,c_156578,c_24]) ).
tff(c_191153,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_191152]) ).
tff(c_191156,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191153,c_132]) ).
tff(c_191163,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_191156,c_189197,c_22]) ).
tff(c_191164,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_191163]) ).
tff(c_191178,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191164,c_124]) ).
tff(c_191126,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_156578,c_189197,c_72]) ).
tff(c_191127,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_191126]) ).
tff(c_191130,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191127,c_122]) ).
tff(c_191142,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191139,c_146]) ).
tff(c_191165,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_191142,c_180477,c_189198,c_10]) ).
tff(c_191169,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191165,c_150]) ).
tff(c_191216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191141,c_191178,c_191130,c_191169,c_18]) ).
tff(c_191217,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_191163]) ).
tff(c_191234,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191217,c_172]) ).
tff(c_191454,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_191125,c_156574,c_191234,c_6]) ).
tff(c_191459,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191454,c_102]) ).
tff(c_191235,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191217,c_180]) ).
tff(c_191219,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_191142,c_180477,c_189198,c_10]) ).
tff(c_191224,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191219,c_154]) ).
tff(c_191240,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_191235,c_191224,c_84]) ).
tff(c_191241,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_191240]) ).
tff(c_191252,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_191125,c_156574,c_191234,c_6]) ).
tff(c_191256,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191252,c_176]) ).
tff(c_191264,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191241,c_92]) ).
tff(c_191265,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_191256,c_191264]) ).
tff(c_191266,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_191265]) ).
tff(c_191415,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_191241,c_191241,c_191266,c_156570,c_191241,c_744]) ).
tff(c_191417,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_191265]) ).
tff(c_191134,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_191127,c_168]) ).
tff(c_191246,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191241,c_142]) ).
tff(c_191427,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_191417,c_191134,c_191246,c_28]) ).
tff(c_191432,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191427,c_166]) ).
tff(c_191440,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_191219,c_64]) ).
tff(c_191441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_191432,c_200,c_191440]) ).
tff(c_191442,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_191240]) ).
tff(c_191449,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191442,c_164]) ).
tff(c_191506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191145,c_191459,c_156575,c_191449,c_4]) ).
tff(c_191507,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_191152]) ).
tff(c_191530,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191507,c_180473,c_156570,c_94]) ).
tff(c_191531,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_191530]) ).
tff(c_191537,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_191531,c_144]) ).
tff(c_191552,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_191125,c_156574,c_6]) ).
tff(c_191553,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_191552]) ).
tff(c_191563,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_189193,c_191553,c_78]) ).
tff(c_191564,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_191537,c_202,c_204,c_191563]) ).
tff(c_191512,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191507,c_128]) ).
tff(c_191614,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_191141,c_191130,c_191512,c_18]) ).
tff(c_191518,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_64]) ).
tff(c_191519,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_191142,c_191518]) ).
tff(c_191722,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191564,c_191614,c_191614,c_191531,c_191519,c_191519,c_191519,c_189193,c_189193,c_191519,c_156570,c_156570,c_502]) ).
tff(c_191723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_202,c_200,c_191722]) ).
tff(c_191724,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_191552]) ).
tff(c_191730,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_191724,c_102]) ).
tff(c_191748,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191531,c_92]) ).
tff(c_191749,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_191748]) ).
tff(c_191750,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_191749]) ).
tff(c_191762,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191531,c_191750,c_88]) ).
tff(c_191763,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_191134,c_191762]) ).
tff(c_191785,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_191145,c_156575,c_191730,c_4]) ).
tff(c_191856,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191763,c_191139,c_191139,c_191785,c_191763,c_191139,c_750]) ).
tff(c_191857,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_191749]) ).
tff(c_191859,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_191857]) ).
tff(c_191864,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_191859,c_156]) ).
tff(c_191873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_191141,c_191864,c_191130,c_191512,c_18]) ).
tff(c_191874,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_191857]) ).
tff(c_191902,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191874,c_191127,c_191519,c_50]) ).
tff(c_191903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_191730,c_191902]) ).
tff(c_191904,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_191124]) ).
tff(c_192298,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_191127,c_191904,c_50]) ).
tff(c_192299,plain,
( ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_192298]) ).
tff(c_192300,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_192299]) ).
tff(c_192320,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192300,c_191127,c_191904,c_58]) ).
tff(c_192321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_180476,c_204,c_192320]) ).
tff(c_192322,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_192299]) ).
tff(c_192457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_191904,c_192322,c_192322,c_180473,c_191904,c_192322,c_724]) ).
tff(c_192458,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_191126]) ).
tff(c_192477,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192472,c_162]) ).
tff(c_192459,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_191126]) ).
tff(c_192484,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_192477,c_192459,c_20]) ).
tff(c_192485,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_192484]) ).
tff(c_192489,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192485,c_160]) ).
tff(c_192490,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192485,c_126]) ).
tff(c_192540,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_192490,c_189197,c_22]) ).
tff(c_192541,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_192540]) ).
tff(c_192545,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192541,c_180]) ).
tff(c_192506,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_191125,c_156574,c_6]) ).
tff(c_192507,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_192506]) ).
tff(c_192511,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192507,c_176]) ).
tff(c_192491,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192485,c_168]) ).
tff(c_192517,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174086,c_192511,c_192491,c_92]) ).
tff(c_192528,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192517,c_84]) ).
tff(c_192529,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_192528]) ).
tff(c_192530,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_192529]) ).
tff(c_192534,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192530,c_144]) ).
tff(c_192550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_192545,c_192511,c_189200,c_192534,c_30]) ).
tff(c_192551,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_192540]) ).
tff(c_192476,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_192472,c_158]) ).
tff(c_192496,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_192476,c_191124]) ).
tff(c_640,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e1,e1),op(e1,e1)) = e1 )
| ( op(op(e2,e2),op(e2,e2)) = e2 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_192711,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192551,c_192517,c_192517,c_192530,c_192472,c_192472,c_192496,c_192551,c_192551,c_192551,c_180473,c_180473,c_640]) ).
tff(c_192712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_204,c_194,c_192711]) ).
tff(c_192713,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_192529]) ).
tff(c_192715,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_192713]) ).
tff(c_192727,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192715,c_192517,c_88]) ).
tff(c_192728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_156579,c_189200,c_194,c_198,c_192727]) ).
tff(c_192729,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_192713]) ).
tff(c_192754,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192729,c_189193,c_192507,c_78]) ).
tff(c_192755,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_192754]) ).
tff(c_192867,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192729,c_192755,c_192755,c_192458,c_192729,c_192755,c_758]) ).
tff(c_192868,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_192506]) ).
tff(c_192900,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_192868,c_192496,c_44]) ).
tff(c_192901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_192489,c_204,c_192900]) ).
tff(c_192902,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_192484]) ).
tff(c_192908,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_192902,c_126]) ).
tff(c_193000,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_189197,c_192908,c_22]) ).
tff(c_193001,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_193000]) ).
tff(c_193044,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193001,c_192902,c_192458,c_76]) ).
tff(c_193045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180479,c_204,c_196,c_198,c_193044]) ).
tff(c_193046,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_193000]) ).
tff(c_192465,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_192458,c_156]) ).
tff(c_193067,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_156579,c_189200,c_192465,c_88]) ).
tff(c_193134,plain,
( ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193067,c_192902,c_192472,c_58]) ).
tff(c_193135,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_193134]) ).
tff(c_192915,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_191125,c_156574,c_6]) ).
tff(c_192916,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_192915]) ).
tff(c_192919,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_192916,c_172]) ).
tff(c_192950,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_192919,c_189197,c_192908,c_22]) ).
tff(c_192985,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192950,c_192902,c_192458,c_76]) ).
tff(c_192986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180479,c_204,c_196,c_198,c_192985]) ).
tff(c_192987,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_192915]) ).
tff(c_193082,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193046,c_189193,c_192987,c_78]) ).
tff(c_193083,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_193082]) ).
tff(c_193088,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193083,c_144]) ).
tff(c_193112,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_193088,c_174086,c_156579,c_32]) ).
tff(c_193093,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193046,c_192902,c_192458,c_80]) ).
tff(c_193094,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_193093]) ).
tff(c_193232,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_192472,c_192458,c_192458,c_193046,c_193135,c_193135,c_193112,c_193083,c_193083,c_193112,c_193094,c_193094,c_490]) ).
tff(c_193233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_200,c_196,c_193232]) ).
tff(c_193234,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_192471]) ).
tff(c_193238,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193234,c_146]) ).
tff(c_193410,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_193238,c_191124]) ).
tff(c_193601,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180473,c_189193,c_193234,c_52]) ).
tff(c_193602,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_193601]) ).
tff(c_193747,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_193410,c_193602,c_193602,c_180473,c_193410,c_193602,c_724]) ).
tff(c_193749,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_174085]) ).
tff(c_174087,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156577,c_16]) ).
tff(c_174088,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_174087]) ).
tff(c_174090,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_118]) ).
tff(c_174092,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_120]) ).
tff(c_174094,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_190]) ).
tff(c_178210,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174094,c_174086,c_156579,c_32]) ).
tff(c_176068,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_6]) ).
tff(c_176069,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_176068]) ).
tff(c_176071,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_176069,c_172]) ).
tff(c_174099,plain,
( ( op(e1,e0) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_174085]) ).
tff(c_174100,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_174099]) ).
tff(c_176140,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174094,c_174086,c_156579,c_32]) ).
tff(c_176146,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176140,c_144]) ).
tff(c_174103,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_132]) ).
tff(c_174105,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_130]) ).
tff(c_174122,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174094,c_174086,c_156579,c_32]) ).
tff(c_174111,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_174114,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174111,c_160]) ).
tff(c_175153,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174114,c_156575,c_4]) ).
tff(c_175154,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_175153]) ).
tff(c_175159,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175154,c_102]) ).
tff(c_175180,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_175159,c_156574,c_6]) ).
tff(c_175181,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_175180]) ).
tff(c_175186,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175181,c_176]) ).
tff(c_174117,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174111,c_168]) ).
tff(c_175158,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175154,c_164]) ).
tff(c_174127,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_142]) ).
tff(c_175169,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_174117,c_175158,c_174127,c_28]) ).
tff(c_175207,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_175169,c_96]) ).
tff(c_175208,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_175186,c_202,c_175207]) ).
tff(c_174116,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174111,c_126]) ).
tff(c_174113,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174111,c_122]) ).
tff(c_174104,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_128]) ).
tff(c_174133,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_174111,c_72]) ).
tff(c_174134,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_174133]) ).
tff(c_174135,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_174134]) ).
tff(c_174138,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174135,c_124]) ).
tff(c_174128,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_144]) ).
tff(c_174146,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_48]) ).
tff(c_174147,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_174114,c_174146]) ).
tff(c_174148,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_174147]) ).
tff(c_174153,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174148,c_100]) ).
tff(c_174176,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174153,c_156576,c_2]) ).
tff(c_174177,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_174176]) ).
tff(c_174182,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174177,c_98]) ).
tff(c_174190,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174117,c_174127,c_28]) ).
tff(c_174191,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_174190]) ).
tff(c_174151,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174148,c_176]) ).
tff(c_174160,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_96]) ).
tff(c_174161,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_174151,c_174117,c_174160]) ).
tff(c_174187,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_174161,c_92]) ).
tff(c_174188,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_174187]) ).
tff(c_174189,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_174188]) ).
tff(c_174195,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174189,c_138]) ).
tff(c_174210,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_174191,c_174195]) ).
tff(c_174211,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_174190]) ).
tff(c_174225,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174211,c_166]) ).
tff(c_174231,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174090,c_174225,c_12]) ).
tff(c_174232,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_174231]) ).
tff(c_174091,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_116]) ).
tff(c_174181,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174177,c_146]) ).
tff(c_174258,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_174091,c_174181,c_10]) ).
tff(c_174259,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_174258]) ).
tff(c_174217,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174189,c_178]) ).
tff(c_174139,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174135,c_174]) ).
tff(c_174296,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_174092,c_174217,c_174139,c_14]) ).
tff(c_174392,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174232,c_174259,c_174259,c_174122,c_174111,c_174111,c_174177,c_174296,c_174296,c_174122,c_174088,c_174088,c_408]) ).
tff(c_174393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_198,c_194,c_174392]) ).
tff(c_174394,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_174258]) ).
tff(c_174400,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174394,c_150]) ).
tff(c_174413,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174113,c_174104,c_174138,c_174400,c_18]) ).
tff(c_174414,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_174231]) ).
tff(c_174418,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174414,c_158]) ).
tff(c_174439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174114,c_174182,c_156575,c_174418,c_4]) ).
tff(c_174441,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_174188]) ).
tff(c_174504,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174135,c_174148,c_74]) ).
tff(c_174505,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_174441,c_198,c_204,c_174504]) ).
tff(c_174514,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174135,c_174505,c_174148,c_66]) ).
tff(c_174515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174128,c_194,c_196,c_200,c_174514]) ).
tff(c_174516,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_174176]) ).
tff(c_174520,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174516,c_148]) ).
tff(c_174564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174113,c_174104,c_174138,c_174520,c_18]) ).
tff(c_174565,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_174147]) ).
tff(c_175043,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_174113,c_174104,c_174138,c_18]) ).
tff(c_174579,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174114,c_156575,c_4]) ).
tff(c_174580,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_174579]) ).
tff(c_174583,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174580,c_158]) ).
tff(c_174584,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174580,c_164]) ).
tff(c_174612,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_174117,c_174584,c_174127,c_28]) ).
tff(c_174617,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174612,c_166]) ).
tff(c_174624,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_174090,c_174583,c_174617,c_12]) ).
tff(c_174570,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_174565,c_152]) ).
tff(c_174616,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_174612,c_134]) ).
tff(c_174126,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_140]) ).
tff(c_174657,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174570,c_174616,c_174126,c_26]) ).
tff(c_174661,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174657,c_154]) ).
tff(c_174629,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174624,c_110]) ).
tff(c_174684,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_174091,c_174661,c_174629,c_10]) ).
tff(c_174566,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_174147]) ).
tff(c_174585,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174580,c_102]) ).
tff(c_174644,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_174566,c_174585,c_156574,c_6]) ).
tff(c_174769,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174624,c_174684,c_174684,c_174122,c_174111,c_174111,c_174565,c_174644,c_174644,c_174135,c_174100,c_174100,c_402]) ).
tff(c_174770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_198,c_174769]) ).
tff(c_174771,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_174579]) ).
tff(c_174789,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174117,c_174127,c_28]) ).
tff(c_174790,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_174789]) ).
tff(c_174956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_174122,c_174122,c_174790,c_156570,c_174122,c_744]) ).
tff(c_174957,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_174789]) ).
tff(c_174777,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_174771,c_102]) ).
tff(c_174969,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_174566,c_156574,c_174777,c_6]) ).
tff(c_174974,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_174969,c_176]) ).
tff(c_174981,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_174957,c_92]) ).
tff(c_174982,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_174974,c_198,c_174981]) ).
tff(c_174993,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_174957,c_174982,c_96]) ).
tff(c_174994,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_174993]) ).
tff(c_175135,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174565,c_175043,c_175043,c_174565,c_174771,c_174771,c_174122,c_174994,c_174994,c_174135,c_174100,c_174100,c_490]) ).
tff(c_175136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_200,c_198,c_175135]) ).
tff(c_175138,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_174134]) ).
tff(c_175225,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_174116,c_174103,c_175138,c_22]) ).
tff(c_175237,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175225,c_175181,c_74]) ).
tff(c_175238,plain,
( ( op(e2,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_175237]) ).
tff(c_175239,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_175238]) ).
tff(c_175357,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_175208,c_175208,c_174122,c_174111,c_174111,c_175225,c_175239,c_175239,c_174122,c_174088,c_174088,c_680]) ).
tff(c_175358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_200,c_194,c_175357]) ).
tff(c_175360,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_175238]) ).
tff(c_175394,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_175169,c_175208,c_92]) ).
tff(c_175395,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_175360,c_198,c_204,c_175394]) ).
tff(c_175396,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_175180]) ).
tff(c_175400,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175396,c_172]) ).
tff(c_175137,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_174134]) ).
tff(c_175435,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_174111,c_175137,c_68]) ).
tff(c_175436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_175400,c_200,c_194,c_175435]) ).
tff(c_175437,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_175153]) ).
tff(c_175443,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175437,c_102]) ).
tff(c_175454,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_175443,c_6]) ).
tff(c_175455,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_175454]) ).
tff(c_175461,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175455,c_100]) ).
tff(c_175444,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175437,c_98]) ).
tff(c_175657,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175461,c_156576,c_175444,c_2]) ).
tff(c_175662,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175657,c_152]) ).
tff(c_175687,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_92]) ).
tff(c_175688,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_175662,c_175687]) ).
tff(c_175689,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_175688]) ).
tff(c_175491,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175461,c_156576,c_175444,c_2]) ).
tff(c_175496,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175491,c_152]) ).
tff(c_175144,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175137,c_156]) ).
tff(c_175545,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_175496,c_175144,c_174126,c_26]) ).
tff(c_175466,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_174116,c_174103,c_175138,c_22]) ).
tff(c_175441,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175437,c_158]) ).
tff(c_175476,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174090,c_175441,c_12]) ).
tff(c_175477,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_175476]) ).
tff(c_175480,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175477,c_166]) ).
tff(c_175521,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_92]) ).
tff(c_175522,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_175480,c_175496,c_175521]) ).
tff(c_175536,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175522,c_175466,c_175455,c_70]) ).
tff(c_175537,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_175536]) ).
tff(c_175641,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_175545,c_175545,c_175466,c_175477,c_175477,c_175477,c_175537,c_175537,c_174122,c_174088,c_174088,c_632]) ).
tff(c_175642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_198,c_194,c_175641]) ).
tff(c_175643,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_175476]) ).
tff(c_175650,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175643,c_114]) ).
tff(c_175470,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_175466,c_174]) ).
tff(c_175678,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_174092,c_175650,c_175470,c_14]) ).
tff(c_175682,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175678,c_178]) ).
tff(c_175699,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_175689,c_175682]) ).
tff(c_175700,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_175688]) ).
tff(c_175816,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_174122,c_174122,c_175700,c_156570,c_174122,c_744]) ).
tff(c_175817,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_175454]) ).
tff(c_175824,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175817,c_100]) ).
tff(c_175829,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156576,c_175444,c_2]) ).
tff(c_175830,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_175829]) ).
tff(c_175834,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_175830,c_152]) ).
tff(c_175822,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175817,c_170]) ).
tff(c_175843,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_174111,c_175137,c_68]) ).
tff(c_175844,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_175843]) ).
tff(c_175877,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_175834,c_175144,c_174126,c_26]) ).
tff(c_175854,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174090,c_175441,c_12]) ).
tff(c_175855,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_175854]) ).
tff(c_175905,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174122,c_175877,c_88]) ).
tff(c_175906,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_175905]) ).
tff(c_175907,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_175906]) ).
tff(c_175911,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175907,c_178]) ).
tff(c_175860,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_175855,c_110]) ).
tff(c_175142,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_175137,c_150]) ).
tff(c_175888,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_174091,c_175860,c_175142,c_10]) ).
tff(c_175918,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_175855,c_175888,c_56]) ).
tff(c_175919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_175911,c_198,c_194,c_175918]) ).
tff(c_175920,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_175906]) ).
tff(c_175938,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_175855,c_175888,c_56]) ).
tff(c_175939,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_175938]) ).
tff(c_696,plain,
( ( op(op(e2,e0),op(e2,e0)) = e2 )
| ( op(op(e2,e1),op(e2,e1)) = e2 )
| ( op(op(e0,e2),op(e0,e2)) = e0 )
| ( op(op(e0,e3),op(e0,e3)) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_598]) ).
tff(c_176023,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_175844,c_175877,c_175877,c_175855,c_175920,c_175920,c_175855,c_175939,c_175939,c_174122,c_174088,c_174088,c_696]) ).
tff(c_176024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_198,c_194,c_176023]) ).
tff(c_176025,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_175854]) ).
tff(c_176041,plain,
( ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174088,c_176025,c_60]) ).
tff(c_176042,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_175822,c_198,c_176041]) ).
tff(c_176045,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176042,c_154]) ).
tff(c_176061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175834,c_176045,c_175144,c_174126,c_26]) ).
tff(c_176062,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_175829]) ).
tff(c_176065,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_175824,c_176062]) ).
tff(c_176066,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_176080,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_174105,c_176066]) ).
tff(c_176081,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_176080]) ).
tff(c_176087,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176081,c_126]) ).
tff(c_176095,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_176071,c_174103,c_176087,c_22]) ).
tff(c_176100,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176095,c_174]) ).
tff(c_176129,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174092,c_176100,c_14]) ).
tff(c_176130,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_176129]) ).
tff(c_176169,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176095,c_176130,c_176069,c_66]) ).
tff(c_176170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_176146,c_194,c_196,c_200,c_176169]) ).
tff(c_176171,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_176129]) ).
tff(c_176117,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_176095,c_176081,c_80]) ).
tff(c_176118,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_176117]) ).
tff(c_176350,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_176171,c_176095,c_176095,c_176118,c_176171,c_176095,c_760]) ).
tff(c_176351,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_176080]) ).
tff(c_176355,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176351,c_122]) ).
tff(c_176872,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_174104,c_176355,c_18]) ).
tff(c_176873,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_176872]) ).
tff(c_176075,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_176069,c_100]) ).
tff(c_176358,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176351,c_126]) ).
tff(c_176722,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_176071,c_174103,c_176358,c_22]) ).
tff(c_176365,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174094,c_174086,c_156579,c_32]) ).
tff(c_176370,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176365,c_142]) ).
tff(c_176387,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_174104,c_176355,c_18]) ).
tff(c_176388,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_176387]) ).
tff(c_176074,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_176069,c_102]) ).
tff(c_176376,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_176074,c_156575,c_4]) ).
tff(c_176377,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_176376]) ).
tff(c_176381,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176377,c_164]) ).
tff(c_176359,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176351,c_168]) ).
tff(c_176519,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_176381,c_176359,c_176370,c_28]) ).
tff(c_176473,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_176071,c_174103,c_176358,c_22]) ).
tff(c_176403,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174092,c_14]) ).
tff(c_176404,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_176403]) ).
tff(c_176416,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_176069,c_176377,c_36]) ).
tff(c_176417,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_176416]) ).
tff(c_176588,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176365,c_176388,c_176388,c_176365,c_176519,c_176519,c_176473,c_176404,c_176404,c_176417,c_176365,c_176365,c_572]) ).
tff(c_176589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_200,c_176588]) ).
tff(c_176590,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_176403]) ).
tff(c_176592,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_176590]) ).
tff(c_176608,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176592,c_114]) ).
tff(c_176615,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176351,c_176377,c_50]) ).
tff(c_176616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_176370,c_194,c_176608,c_196,c_176615]) ).
tff(c_176617,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_176590]) ).
tff(c_176623,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_176617,c_112]) ).
tff(c_176382,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_176377,c_98]) ).
tff(c_176369,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176365,c_140]) ).
tff(c_176630,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176388,c_34]) ).
tff(c_176631,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_176369,c_200,c_176630]) ).
tff(c_176632,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_176631]) ).
tff(c_176634,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176632,c_146]) ).
tff(c_176655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_176075,c_176382,c_156576,c_176634,c_2]) ).
tff(c_176657,plain,
op(e2,e3) != e3,
inference(splitRight,[status(thm)],[c_176631]) ).
tff(c_176703,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174091,c_176623,c_176657,c_10]) ).
tff(c_176073,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_176069,c_176]) ).
tff(c_176396,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_176388,c_156]) ).
tff(c_176658,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176365,c_96]) ).
tff(c_176659,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_176073,c_176396,c_176658]) ).
tff(c_176713,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176659,c_176351,c_176377,c_50]) ).
tff(c_176714,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_176713]) ).
tff(c_176826,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_176722,c_176703,c_176703,c_176714,c_176351,c_176351,c_176714,c_176617,c_176617,c_176722,c_174100,c_174100,c_410]) ).
tff(c_176827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_194,c_196,c_176826]) ).
tff(c_176828,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_176387]) ).
tff(c_176858,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_176351,c_176828,c_80]) ).
tff(c_176859,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_176071,c_202,c_200,c_176858]) ).
tff(c_176860,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_176376]) ).
tff(c_176866,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_176860,c_98]) ).
tff(c_177078,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_176075,c_156576,c_176866,c_2]) ).
tff(c_177206,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_176873,c_177078,c_177078,c_156570,c_176873,c_177078,c_726]) ).
tff(c_177207,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_176872]) ).
tff(c_177226,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_176351,c_177207,c_80]) ).
tff(c_177227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_176071,c_202,c_200,c_177226]) ).
tff(c_177228,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_176068]) ).
tff(c_177230,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_177228]) ).
tff(c_178221,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_177230,c_48]) ).
tff(c_178222,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_178221]) ).
tff(c_178223,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_178222]) ).
tff(c_178227,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178223,c_164]) ).
tff(c_176067,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_177244,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_80]) ).
tff(c_177245,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_176067,c_177244]) ).
tff(c_177246,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_177245]) ).
tff(c_177242,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_174105,c_176066]) ).
tff(c_177243,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_177242]) ).
tff(c_177267,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_177246,c_177243,c_72]) ).
tff(c_177268,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_177267]) ).
tff(c_177262,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177246,c_180]) ).
tff(c_177236,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177230,c_102]) ).
tff(c_177495,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156575,c_177236,c_4]) ).
tff(c_177496,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_177495]) ).
tff(c_177500,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177496,c_98]) ).
tff(c_177237,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177230,c_100]) ).
tff(c_177549,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_177500,c_156576,c_177237,c_2]) ).
tff(c_177636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_177268,c_177549,c_177549,c_177496,c_177268,c_177549,c_752]) ).
tff(c_177637,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_177495]) ).
tff(c_177650,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_177230,c_177637,c_48]) ).
tff(c_177651,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_177650]) ).
tff(c_177656,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177651,c_152]) ).
tff(c_177279,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174094,c_174086,c_156579,c_32]) ).
tff(c_177253,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177243,c_168]) ).
tff(c_177294,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_177253,c_28]) ).
tff(c_177295,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_177294]) ).
tff(c_177297,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177295,c_134]) ).
tff(c_177345,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177279,c_177295,c_92]) ).
tff(c_177346,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_177345]) ).
tff(c_177347,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_177346]) ).
tff(c_177352,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177347,c_136]) ).
tff(c_177274,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177268,c_156]) ).
tff(c_177283,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177279,c_140]) ).
tff(c_177366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177297,c_177352,c_177274,c_177283,c_26]) ).
tff(c_177367,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_177346]) ).
tff(c_177391,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177279,c_177295,c_177367,c_88]) ).
tff(c_177392,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_177391]) ).
tff(c_177479,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_177392,c_177246,c_177246,c_177243,c_177392,c_177246,c_746]) ).
tff(c_177480,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_177294]) ).
tff(c_177482,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_177480]) ).
tff(c_177721,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177279,c_177482,c_92]) ).
tff(c_177722,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_177721]) ).
tff(c_177723,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_177722]) ).
tff(c_177742,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_177279,c_177723,c_177482,c_96]) ).
tff(c_177743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_177656,c_177742]) ).
tff(c_177745,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_177722]) ).
tff(c_177486,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_177482,c_138]) ).
tff(c_177235,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_177230,c_176]) ).
tff(c_177757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_177262,c_177745,c_177486,c_177235,c_30]) ).
tff(c_177758,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_177480]) ).
tff(c_177765,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_177758,c_164]) ).
tff(c_177771,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_177765,c_156575,c_177236,c_4]) ).
tff(c_177776,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177771,c_98]) ).
tff(c_177830,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_177776,c_156576,c_177237,c_2]) ).
tff(c_177913,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_177268,c_177830,c_177830,c_177771,c_177268,c_177830,c_752]) ).
tff(c_177914,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_177245]) ).
tff(c_177916,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_177230,c_48]) ).
tff(c_177917,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_177916]) ).
tff(c_177918,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_177917]) ).
tff(c_177934,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177918,c_98]) ).
tff(c_178056,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_177934,c_156576,c_177237,c_2]) ).
tff(c_178159,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_177914,c_178056,c_178056,c_156570,c_177914,c_178056,c_726]) ).
tff(c_178160,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_177917]) ).
tff(c_178175,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_177914,c_148]) ).
tff(c_178195,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178160,c_178175]) ).
tff(c_178196,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_177242]) ).
tff(c_178204,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178196,c_168]) ).
tff(c_178215,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178210,c_142]) ).
tff(c_178262,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_178227,c_178204,c_178215,c_28]) ).
tff(c_178493,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_178210,c_178210,c_178262,c_156570,c_178210,c_744]) ).
tff(c_178494,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_178222]) ).
tff(c_178495,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_178222]) ).
tff(c_178685,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_178495,c_156575,c_177236,c_4]) ).
tff(c_178689,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178685,c_158]) ).
tff(c_178202,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178196,c_162]) ).
tff(c_178500,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178494,c_152]) ).
tff(c_178522,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174091,c_10]) ).
tff(c_178523,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_178522]) ).
tff(c_178526,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178523,c_154]) ).
tff(c_178214,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178210,c_140]) ).
tff(c_178602,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_178500,c_178526,c_178214,c_26]) ).
tff(c_178614,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_178495,c_156575,c_177236,c_4]) ).
tff(c_178669,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_178602,c_178494,c_178494,c_178614,c_178602,c_178494,c_750]) ).
tff(c_178670,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_178522]) ).
tff(c_178672,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_178670]) ).
tff(c_178678,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178672,c_110]) ).
tff(c_178772,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_174090,c_178689,c_178202,c_178678,c_12]) ).
tff(c_178773,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_178670]) ).
tff(c_178779,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_178773,c_112]) ).
tff(c_178498,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_178494,c_148]) ).
tff(c_178506,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_178196,c_80]) ).
tff(c_178507,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_178498,c_178506]) ).
tff(c_178790,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178507,c_177230,c_70]) ).
tff(c_178791,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_178779,c_194,c_178790]) ).
tff(c_178811,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178210,c_178791,c_96]) ).
tff(c_178812,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_178500,c_178811]) ).
tff(c_178858,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178210,c_178791,c_178812,c_92]) ).
tff(c_178859,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_178858]) ).
tff(c_178911,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178859,c_178773,c_178494,c_34]) ).
tff(c_178912,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_178911]) ).
tff(c_178826,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174090,c_178202,c_12]) ).
tff(c_178827,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_178826]) ).
tff(c_178830,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178827,c_158]) ).
tff(c_178846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_178495,c_178830,c_156575,c_177236,c_4]) ).
tff(c_178847,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_178826]) ).
tff(c_178868,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178791,c_178507,c_177230,c_74]) ).
tff(c_178869,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_178868]) ).
tff(c_178982,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_178494,c_178912,c_178912,c_178494,c_178847,c_178847,c_178507,c_178869,c_178869,c_178210,c_174088,c_174088,c_504]) ).
tff(c_178983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_202,c_194,c_178982]) ).
tff(c_178984,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_177228]) ).
tff(c_178989,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178984,c_170]) ).
tff(c_178998,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_174105,c_176066]) ).
tff(c_178999,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_178998]) ).
tff(c_179263,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_178999,c_126]) ).
tff(c_179045,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_174088,c_156570,c_82]) ).
tff(c_179046,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_179045]) ).
tff(c_179052,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179046,c_144]) ).
tff(c_179000,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_174103,c_22]) ).
tff(c_179001,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_179000]) ).
tff(c_179087,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179001,c_178984,c_70]) ).
tff(c_179088,plain,
( ( op(e2,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_179087]) ).
tff(c_179089,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_179088]) ).
tff(c_179220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179089,c_179001,c_179001,c_178999,c_179089,c_179001,c_746]) ).
tff(c_179221,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_179088]) ).
tff(c_179254,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179001,c_179221,c_178984,c_66]) ).
tff(c_179255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_179052,c_200,c_194,c_196,c_179254]) ).
tff(c_179256,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_179000]) ).
tff(c_179281,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_179263,c_179256]) ).
tff(c_179286,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179281,c_174]) ).
tff(c_179607,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_174092,c_178989,c_179286,c_14]) ).
tff(c_179568,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_179281,c_178999,c_80]) ).
tff(c_179569,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_179568]) ).
tff(c_179699,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179607,c_179281,c_179281,c_179569,c_179607,c_179281,c_760]) ).
tff(c_179700,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_178998]) ).
tff(c_179706,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179700,c_162]) ).
tff(c_180138,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_179700,c_80]) ).
tff(c_180139,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_180138]) ).
tff(c_180140,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_180139]) ).
tff(c_180198,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_174092,c_178989,c_14]) ).
tff(c_180199,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_180198]) ).
tff(c_180234,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180140,c_180199,c_178984,c_66]) ).
tff(c_180235,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_180234]) ).
tff(c_180240,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180235,c_144]) ).
tff(c_180249,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_174088,c_156570,c_82]) ).
tff(c_180250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180240,c_196,c_200,c_194,c_180249]) ).
tff(c_180251,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_180198]) ).
tff(c_180257,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180251,c_114]) ).
tff(c_180296,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_174090,c_179706,c_180257,c_12]) ).
tff(c_178990,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178984,c_176]) ).
tff(c_179714,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_174094,c_96]) ).
tff(c_179715,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_179714]) ).
tff(c_179721,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179715,c_180]) ).
tff(c_180012,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_179700,c_80]) ).
tff(c_180013,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_179721,c_202,c_180012]) ).
tff(c_180016,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180013,c_148]) ).
tff(c_179737,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_174094,c_174086,c_156579,c_32]) ).
tff(c_179771,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_174091,c_10]) ).
tff(c_179772,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_179771]) ).
tff(c_179777,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179772,c_110]) ).
tff(c_178991,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_178984,c_102]) ).
tff(c_179726,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_178991,c_156575,c_4]) ).
tff(c_179727,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_179726]) ).
tff(c_179782,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179700,c_179727,c_58]) ).
tff(c_179783,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_179777,c_204,c_179782]) ).
tff(c_179912,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_179737,c_179737,c_179783,c_156570,c_179737,c_744]) ).
tff(c_179913,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_179771]) ).
tff(c_179917,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_179913]) ).
tff(c_179923,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179917,c_110]) ).
tff(c_179953,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_174090,c_179706,c_179923,c_12]) ).
tff(c_179718,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_179715,c_138]) ).
tff(c_179708,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179700,c_168]) ).
tff(c_179742,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_179737,c_142]) ).
tff(c_179943,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_179718,c_179708,c_179742,c_28]) ).
tff(c_179948,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_179943,c_166]) ).
tff(c_179962,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_179953,c_179948]) ).
tff(c_179963,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_179913]) ).
tff(c_179970,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179963,c_112]) ).
tff(c_179707,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179700,c_126]) ).
tff(c_179747,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_179721,c_174103,c_179707,c_22]) ).
tff(c_179976,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_179715,c_179747,c_178984,c_70]) ).
tff(c_179977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_179970,c_198,c_179976]) ).
tff(c_179978,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_179726]) ).
tff(c_180036,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_178984,c_179978,c_48]) ).
tff(c_180037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_180016,c_180036]) ).
tff(c_180038,plain,
( ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_179714]) ).
tff(c_180040,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_180038]) ).
tff(c_180048,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180040,c_156]) ).
tff(c_179704,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_179700,c_122]) ).
tff(c_180046,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180040,c_152]) ).
tff(c_180063,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_178984,c_48]) ).
tff(c_180064,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_180046,c_180063]) ).
tff(c_180108,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_178984,c_180064,c_36]) ).
tff(c_180109,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_180108]) ).
tff(c_180113,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180109,c_148]) ).
tff(c_180125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_180048,c_174104,c_179704,c_180113,c_18]) ).
tff(c_180126,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_180038]) ).
tff(c_180285,plain,
( ( op(e0,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180126,c_92]) ).
tff(c_180286,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_174086,c_178990,c_204,c_180285]) ).
tff(c_180291,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_180286,c_154]) ).
tff(c_180141,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_174104,c_179704,c_18]) ).
tff(c_180142,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_180141]) ).
tff(c_180145,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180140,c_124]) ).
tff(c_180162,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_180142,c_180145]) ).
tff(c_180163,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_180141]) ).
tff(c_180178,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_180163,c_150]) ).
tff(c_180332,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_174091,c_180291,c_180178,c_10]) ).
tff(c_180305,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_174100,c_174088,c_156570,c_82]) ).
tff(c_180306,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_180305]) ).
tff(c_180317,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180140,c_180251,c_178984,c_70]) ).
tff(c_180318,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_180317]) ).
tff(c_180425,plain,
( ( e3 = e2 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_180296,c_180332,c_180332,c_180306,c_180126,c_180126,c_180296,c_180318,c_180318,c_180306,c_174088,c_174088,c_456]) ).
tff(c_180426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_204,c_194,c_180425]) ).
tff(c_180427,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_180139]) ).
tff(c_180431,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180427,c_148]) ).
tff(c_180133,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_180126,c_164]) ).
tff(c_180439,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_180133,c_178991,c_156575,c_4]) ).
tff(c_180469,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_178984,c_180439,c_48]) ).
tff(c_180470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_180431,c_180469]) ).
tff(c_180471,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_174087]) ).
tff(c_193771,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_193749,c_180471]) ).
tff(c_193760,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96]) ).
tff(c_193764,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_142]) ).
tff(c_193763,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_140]) ).
tff(c_193782,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156575,c_4]) ).
tff(c_193783,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_193782]) ).
tff(c_193785,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193783,c_158]) ).
tff(c_193765,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_144]) ).
tff(c_193786,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193783,c_160]) ).
tff(c_193748,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_174085]) ).
tff(c_193753,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_130]) ).
tff(c_193751,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_132]) ).
tff(c_193796,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193751,c_22]) ).
tff(c_193797,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_193796]) ).
tff(c_193801,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193797,c_174]) ).
tff(c_193808,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_193797,c_72]) ).
tff(c_193809,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_193808]) ).
tff(c_193810,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_193809]) ).
tff(c_193814,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193810,c_162]) ).
tff(c_193775,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_118]) ).
tff(c_194122,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_193785,c_193814,c_193775,c_12]) ).
tff(c_193813,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193810,c_122]) ).
tff(c_194036,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_193785,c_193814,c_193775,c_12]) ).
tff(c_194040,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194036,c_166]) ).
tff(c_194048,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_194049,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_194040,c_194048]) ).
tff(c_194050,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_194049]) ).
tff(c_194054,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194050,c_176]) ).
tff(c_193861,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_193785,c_193814,c_193775,c_12]) ).
tff(c_193865,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193861,c_166]) ).
tff(c_193815,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_193810,c_168]) ).
tff(c_193789,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193783,c_98]) ).
tff(c_193840,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_193789,c_156576,c_2]) ).
tff(c_193841,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_193840]) ).
tff(c_193845,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193841,c_152]) ).
tff(c_193866,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193861,c_114]) ).
tff(c_193788,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_193783,c_102]) ).
tff(c_193846,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193841,c_100]) ).
tff(c_193851,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_193788,c_193846,c_156574,c_6]) ).
tff(c_193873,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193797,c_193851,c_74]) ).
tff(c_193874,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_193866,c_196,c_193873]) ).
tff(c_193892,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_193874,c_84]) ).
tff(c_193893,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_193892]) ).
tff(c_193894,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_193893]) ).
tff(c_193898,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193894,c_134]) ).
tff(c_193916,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_193763,c_193845,c_193898,c_26]) ).
tff(c_194011,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193861,c_193916,c_193916,c_193760,c_193783,c_193783,c_193841,c_193851,c_193851,c_193861,c_156570,c_156570,c_590]) ).
tff(c_194012,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_196,c_196,c_194011]) ).
tff(c_194014,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_193893]) ).
tff(c_194023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193764,c_193865,c_193815,c_194014,c_28]) ).
tff(c_194024,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_193840]) ).
tff(c_194060,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_193783,c_194024,c_44]) ).
tff(c_194061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194054,c_204,c_196,c_194060]) ).
tff(c_194062,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_194049]) ).
tff(c_193776,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_116]) ).
tff(c_193820,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193776,c_10]) ).
tff(c_193821,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_193820]) ).
tff(c_194106,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194062,c_193821,c_194024,c_38]) ).
tff(c_194107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_193813,c_202,c_194,c_194106]) ).
tff(c_194108,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_193820]) ).
tff(c_194110,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_194108]) ).
tff(c_194234,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_194122,c_194110,c_64]) ).
tff(c_194235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_193801,c_204,c_202,c_194234]) ).
tff(c_194236,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_194108]) ).
tff(c_194245,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194236,c_110]) ).
tff(c_194289,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193785,c_194245,c_193814,c_193775,c_12]) ).
tff(c_194290,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_193809]) ).
tff(c_194296,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194290,c_122]) ).
tff(c_194755,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_193786,c_193753,c_194296,c_20]) ).
tff(c_194760,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194755,c_168]) ).
tff(c_194577,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_193789,c_156576,c_2]) ).
tff(c_194578,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_194577]) ).
tff(c_194725,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194290,c_194578,c_194578,c_193783,c_194290,c_194578,c_752]) ).
tff(c_194726,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_194577]) ).
tff(c_194740,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194726,c_152]) ).
tff(c_194793,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_84]) ).
tff(c_194794,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194760,c_194740,c_194793]) ).
tff(c_194874,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194794,c_193797,c_193797,c_194290,c_194794,c_193797,c_758]) ).
tff(c_194875,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_193796]) ).
tff(c_194889,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_194875]) ).
tff(c_194902,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_194889,c_72]) ).
tff(c_194903,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_194902]) ).
tff(c_194904,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_194903]) ).
tff(c_194909,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194904,c_162]) ).
tff(c_195158,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_193785,c_194909,c_193775,c_12]) ).
tff(c_195162,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195158,c_166]) ).
tff(c_194910,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_194904,c_168]) ).
tff(c_195180,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_193764,c_195162,c_194910,c_28]) ).
tff(c_193752,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_128]) ).
tff(c_194894,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_194889,c_172]) ).
tff(c_195112,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_193788,c_156574,c_194894,c_6]) ).
tff(c_195117,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195112,c_100]) ).
tff(c_194917,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_193763,c_26]) ).
tff(c_194918,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_194917]) ).
tff(c_194946,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_193785,c_194909,c_193775,c_12]) ).
tff(c_194922,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_194918,c_152]) ).
tff(c_194929,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_193789,c_156576,c_2]) ).
tff(c_194930,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_194929]) ).
tff(c_194931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194922,c_194930]) ).
tff(c_194932,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_194929]) ).
tff(c_195096,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_194889,c_194918,c_194918,c_194889,c_194946,c_194946,c_194932,c_194889,c_194889,c_194932,c_193771,c_193771,c_640]) ).
tff(c_195097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_194,c_195096]) ).
tff(c_195098,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_194917]) ).
tff(c_195100,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_195098]) ).
tff(c_195122,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195100,c_42]) ).
tff(c_195123,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_193752,c_195117,c_195122]) ).
tff(c_195128,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195123,c_110]) ).
tff(c_195133,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193785,c_195128,c_194909,c_193775,c_12]) ).
tff(c_195134,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_195098]) ).
tff(c_195193,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_195180,c_195134,c_92]) ).
tff(c_195194,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_195193]) ).
tff(c_193777,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_120]) ).
tff(c_194877,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193777,c_14]) ).
tff(c_194878,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_194877]) ).
tff(c_195237,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195194,c_194889,c_194878,c_70]) ).
tff(c_195238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_156574,c_195237]) ).
tff(c_195239,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_194903]) ).
tff(c_195287,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_194889,c_195239,c_80]) ).
tff(c_195288,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_193786,c_202,c_195287]) ).
tff(c_195289,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_194875]) ).
tff(c_194881,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_194878,c_112]) ).
tff(c_195304,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194881,c_193776,c_10]) ).
tff(c_195305,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_195304]) ).
tff(c_195311,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195305,c_110]) ).
tff(c_195456,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_193785,c_195311,c_193775,c_12]) ).
tff(c_195308,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195305,c_146]) ).
tff(c_195390,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_193789,c_195308,c_156576,c_2]) ).
tff(c_195394,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195390,c_152]) ).
tff(c_195310,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195305,c_154]) ).
tff(c_195316,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_195317,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_195316]) ).
tff(c_195318,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_195317]) ).
tff(c_195322,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195318,c_138]) ).
tff(c_195330,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_195289,c_80]) ).
tff(c_195331,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_193786,c_195330]) ).
tff(c_195341,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_195289,c_195331,c_68]) ).
tff(c_195342,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_195341]) ).
tff(c_195363,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195342,c_193783,c_58]) ).
tff(c_195364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195322,c_196,c_195311,c_204,c_195363]) ).
tff(c_195365,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_195317]) ).
tff(c_195367,plain,
op(e0,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_195310,c_195365]) ).
tff(c_195400,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_195367,c_84]) ).
tff(c_195401,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_195394,c_195400]) ).
tff(c_195425,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_195401,c_195367,c_88]) ).
tff(c_195426,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_195425]) ).
tff(c_195531,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195456,c_195426,c_195426,c_193760,c_193783,c_193783,c_195456,c_195289,c_195289,c_195390,c_193771,c_193771,c_608]) ).
tff(c_195532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_198,c_194,c_195531]) ).
tff(c_195533,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_195304]) ).
tff(c_195539,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195533,c_154]) ).
tff(c_195548,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_195289,c_80]) ).
tff(c_195549,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_193786,c_195548]) ).
tff(c_195561,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_193789,c_156576,c_2]) ).
tff(c_195562,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_195561]) ).
tff(c_195704,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_195549,c_195562,c_195562,c_156570,c_195549,c_195562,c_726]) ).
tff(c_195705,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_195561]) ).
tff(c_195709,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195705,c_152]) ).
tff(c_195728,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_193763,c_195539,c_195709,c_26]) ).
tff(c_195732,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195728,c_134]) ).
tff(c_195716,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_84]) ).
tff(c_195717,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_195709,c_195716]) ).
tff(c_195718,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_195717]) ).
tff(c_195722,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_195718,c_138]) ).
tff(c_195737,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_193764,c_195732,c_195722,c_28]) ).
tff(c_195771,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195737,c_193783,c_58]) ).
tff(c_195772,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_193753,c_204,c_195771]) ).
tff(c_195876,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195289,c_195728,c_195728,c_195772,c_195737,c_195737,c_193760,c_194878,c_194878,c_195705,c_193771,c_193771,c_696]) ).
tff(c_195877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_194,c_195876]) ).
tff(c_195879,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_195717]) ).
tff(c_195880,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_193763,c_195539,c_195709,c_26]) ).
tff(c_195885,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_195880,c_136]) ).
tff(c_195899,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195289,c_194878,c_74]) ).
tff(c_195900,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_195885,c_198,c_204,c_195899]) ).
tff(c_195931,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195289,c_194878,c_195900,c_66]) ).
tff(c_195932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_195879,c_194,c_200,c_196,c_195931]) ).
tff(c_195933,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_194877]) ).
tff(c_195935,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_195933]) ).
tff(c_195938,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_195935,c_174]) ).
tff(c_195958,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_195938,c_194875]) ).
tff(c_195947,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_193788,c_156574,c_6]) ).
tff(c_195948,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_195947]) ).
tff(c_196017,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_195958,c_195935,c_195948,c_78]) ).
tff(c_196018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193765,c_200,c_202,c_204,c_196017]) ).
tff(c_196019,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_195947]) ).
tff(c_196026,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196019,c_172]) ).
tff(c_196033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196026,c_195938,c_194875]) ).
tff(c_196034,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_195933]) ).
tff(c_196048,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_196034,c_64]) ).
tff(c_196049,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_193785,c_196048]) ).
tff(c_196053,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196049,c_150]) ).
tff(c_196040,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196034,c_170]) ).
tff(c_196060,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_194875]) ).
tff(c_196065,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196060,c_172]) ).
tff(c_196084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193788,c_196040,c_156574,c_196065,c_6]) ).
tff(c_196085,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_194875]) ).
tff(c_196089,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196085,c_124]) ).
tff(c_196090,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196085,c_126]) ).
tff(c_196138,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_193786,c_193753,c_196090,c_20]) ).
tff(c_196142,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196138,c_122]) ).
tff(c_196159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196053,c_193752,c_196089,c_196142,c_18]) ).
tff(c_196160,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_193782]) ).
tff(c_198877,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_196160]) ).
tff(c_199112,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_198877,c_48]) ).
tff(c_199113,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_199112]) ).
tff(c_199114,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_199113]) ).
tff(c_199117,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199114,c_172]) ).
tff(c_198881,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198877,c_160]) ).
tff(c_197528,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193753,c_20]) ).
tff(c_197529,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_197528]) ).
tff(c_197531,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197529,c_122]) ).
tff(c_197533,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197529,c_162]) ).
tff(c_198526,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_197531,c_193752,c_18]) ).
tff(c_198527,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_198526]) ).
tff(c_198530,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198527,c_124]) ).
tff(c_197609,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_197610,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_197609]) ).
tff(c_197611,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_197610]) ).
tff(c_197623,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197611,c_136]) ).
tff(c_196162,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193776,c_10]) ).
tff(c_196163,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_196162]) ).
tff(c_196169,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196163,c_110]) ).
tff(c_196165,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196163,c_146]) ).
tff(c_196174,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_196160]) ).
tff(c_196181,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196174,c_98]) ).
tff(c_196831,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196165,c_156576,c_196181,c_2]) ).
tff(c_196837,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196831,c_100]) ).
tff(c_196180,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196174,c_102]) ).
tff(c_196928,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_196837,c_156574,c_196180,c_6]) ).
tff(c_196932,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196928,c_172]) ).
tff(c_196166,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196163,c_150]) ).
tff(c_196178,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196174,c_160]) ).
tff(c_196186,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193753,c_196178,c_20]) ).
tff(c_196187,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_196186]) ).
tff(c_196553,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196165,c_156576,c_196181,c_2]) ).
tff(c_196168,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196163,c_112]) ).
tff(c_196200,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196168,c_193777,c_14]) ).
tff(c_196201,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_196200]) ).
tff(c_196207,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196201,c_114]) ).
tff(c_196278,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_196169,c_196207,c_193775,c_12]) ).
tff(c_196206,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196201,c_178]) ).
tff(c_196223,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_196224,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196206,c_196223]) ).
tff(c_196225,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_196224]) ).
tff(c_196235,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_196225,c_84]) ).
tff(c_196236,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_196235]) ).
tff(c_196237,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_196236]) ).
tff(c_196256,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_196237,c_196225,c_88]) ).
tff(c_196257,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_196256]) ).
tff(c_196269,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196165,c_156576,c_196181,c_2]) ).
tff(c_196192,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196187,c_126]) ).
tff(c_196241,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196237,c_180]) ).
tff(c_196310,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_196192,c_193751,c_196241,c_22]) ).
tff(c_196386,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196278,c_196257,c_196257,c_196269,c_196174,c_196174,c_196278,c_196310,c_196310,c_196269,c_193771,c_193771,c_608]) ).
tff(c_196387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_198,c_198,c_196386]) ).
tff(c_196388,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_196236]) ).
tff(c_196394,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_196388,c_156]) ).
tff(c_196401,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_196166,c_193752,c_196394,c_18]) ).
tff(c_196487,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196388,c_196401,c_196163,c_42]) ).
tff(c_196488,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_196487]) ).
tff(c_196423,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_196201,c_196163,c_56]) ).
tff(c_196424,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_196423]) ).
tff(c_196411,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_196225,c_196388,c_88]) ).
tff(c_196412,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_196411]) ).
tff(c_196540,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_196488,c_196388,c_196388,c_193760,c_196187,c_196187,c_196424,c_196412,c_196412,c_196424,c_156570,c_156570,c_678]) ).
tff(c_196541,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_194,c_196540]) ).
tff(c_196542,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_196224]) ).
tff(c_196547,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196542,c_152]) ).
tff(c_196563,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196553,c_196547]) ).
tff(c_196564,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_196200]) ).
tff(c_196571,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196564,c_114]) ).
tff(c_196662,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196169,c_196571,c_193775,c_12]) ).
tff(c_196740,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_196187,c_196662,c_196662,c_193771,c_196187,c_196662,c_722]) ).
tff(c_196741,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_196186]) ).
tff(c_196950,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_196741,c_80]) ).
tff(c_196951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196932,c_202,c_196166,c_196950]) ).
tff(c_196952,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_196160]) ).
tff(c_196956,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196952,c_158]) ).
tff(c_196966,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193753,c_20]) ).
tff(c_196967,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_196966]) ).
tff(c_196971,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_196967,c_126]) ).
tff(c_196989,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_196967,c_72]) ).
tff(c_196990,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_196989]) ).
tff(c_196991,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_196990]) ).
tff(c_196996,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_196991,c_124]) ).
tff(c_196960,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196952,c_98]) ).
tff(c_197060,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196165,c_196960,c_156576,c_2]) ).
tff(c_197064,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197060,c_148]) ).
tff(c_197075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196166,c_193752,c_196996,c_197064,c_18]) ).
tff(c_197077,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_196990]) ).
tff(c_197198,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196971,c_193751,c_197077,c_22]) ).
tff(c_196977,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196168,c_193777,c_14]) ).
tff(c_196978,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_196977]) ).
tff(c_196983,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196978,c_178]) ).
tff(c_196958,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_196952,c_164]) ).
tff(c_197099,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_197100,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196983,c_196958,c_197099]) ).
tff(c_197087,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196165,c_196960,c_156576,c_2]) ).
tff(c_197110,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_197100,c_88]) ).
tff(c_197111,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_197110]) ).
tff(c_197112,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_197111]) ).
tff(c_197124,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_197112,c_197100,c_84]) ).
tff(c_197125,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_197124]) ).
tff(c_197253,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197198,c_197100,c_197100,c_197087,c_197125,c_197125,c_197087,c_197198,c_197198,c_197198,c_193748,c_193748,c_706]) ).
tff(c_197254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_196,c_196,c_197253]) ).
tff(c_197255,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_197111]) ).
tff(c_197275,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197255,c_196967,c_196952,c_50]) ).
tff(c_197276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_193775,c_196,c_197275]) ).
tff(c_197277,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_196977]) ).
tff(c_197284,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197277,c_114]) ).
tff(c_197371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196169,c_196956,c_197284,c_193775,c_12]) ).
tff(c_197372,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_196966]) ).
tff(c_197374,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_197372]) ).
tff(c_197380,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197374,c_168]) ).
tff(c_197387,plain,
op(e3,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196165,c_196960,c_156576,c_2]) ).
tff(c_197392,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197387,c_152]) ).
tff(c_197409,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_84]) ).
tff(c_197410,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_197380,c_197392,c_197409]) ).
tff(c_197420,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_197410,c_92]) ).
tff(c_197421,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196958,c_197420]) ).
tff(c_197432,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_197410,c_197421,c_88]) ).
tff(c_197433,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_197432]) ).
tff(c_197437,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197433,c_166]) ).
tff(c_197458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196169,c_196956,c_197437,c_193775,c_12]) ).
tff(c_197459,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_197372]) ).
tff(c_197464,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197459,c_162]) ).
tff(c_197525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196169,c_196956,c_197464,c_193775,c_12]) ).
tff(c_197526,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_196162]) ).
tff(c_197553,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_197526]) ).
tff(c_197558,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197553,c_154]) ).
tff(c_197557,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197553,c_150]) ).
tff(c_197612,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_197531,c_193752,c_197557,c_18]) ).
tff(c_197616,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197612,c_156]) ).
tff(c_197664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193763,c_197623,c_197558,c_197616,c_26]) ).
tff(c_197665,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_197610]) ).
tff(c_197667,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_197665]) ).
tff(c_197670,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197667,c_134]) ).
tff(c_197540,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_196160]) ).
tff(c_197544,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197540,c_164]) ).
tff(c_197692,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_193764,c_197670,c_197544,c_28]) ).
tff(c_197713,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197692,c_197529,c_197540,c_58]) ).
tff(c_197714,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_197713]) ).
tff(c_197804,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_197529,c_197714,c_197714,c_193771,c_197529,c_197714,c_722]) ).
tff(c_197805,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_197665]) ).
tff(c_197811,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197805,c_166]) ).
tff(c_197560,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197553,c_110]) ).
tff(c_197846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197533,c_197811,c_197560,c_193775,c_12]) ).
tff(c_197847,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_197526]) ).
tff(c_197854,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197847,c_112]) ).
tff(c_197878,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_197854,c_193777,c_14]) ).
tff(c_197879,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_197878]) ).
tff(c_197883,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197879,c_170]) ).
tff(c_197853,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197847,c_154]) ).
tff(c_197865,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_197866,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_197853,c_197865]) ).
tff(c_197867,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_197866]) ).
tff(c_197871,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197867,c_176]) ).
tff(c_197545,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197540,c_102]) ).
tff(c_197889,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197883,c_197871,c_156574,c_197545,c_6]) ).
tff(c_197890,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_197878]) ).
tff(c_197902,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_197890,c_197847,c_64]) ).
tff(c_197903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_197533,c_204,c_197902]) ).
tff(c_197904,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_197866]) ).
tff(c_197909,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197904,c_138]) ).
tff(c_197855,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197847,c_110]) ).
tff(c_198272,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_197533,c_197855,c_193775,c_12]) ).
tff(c_197851,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_197847,c_146]) ).
tff(c_197546,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197540,c_98]) ).
tff(c_198075,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_197851,c_156576,c_197546,c_2]) ).
tff(c_198064,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_197529,c_72]) ).
tff(c_198065,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_198064]) ).
tff(c_198066,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_198065]) ).
tff(c_198069,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198066,c_124]) ).
tff(c_198098,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_197531,c_193752,c_198069,c_18]) ).
tff(c_197915,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_156574,c_197545,c_6]) ).
tff(c_197916,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_197915]) ).
tff(c_197920,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197916,c_170]) ).
tff(c_197534,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_197529,c_126]) ).
tff(c_197995,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_197531,c_193752,c_18]) ).
tff(c_197996,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_197995]) ).
tff(c_198000,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_197996,c_124]) ).
tff(c_197905,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_197866]) ).
tff(c_197927,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_193765,c_197905,c_30]) ).
tff(c_197928,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_197927]) ).
tff(c_197971,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_197928,c_197916,c_74]) ).
tff(c_197972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_193751,c_197854,c_204,c_197971]) ).
tff(c_197973,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_197927]) ).
tff(c_197979,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_197973,c_180]) ).
tff(c_198006,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197534,c_193751,c_198000,c_197979,c_22]) ).
tff(c_198007,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_197995]) ).
tff(c_198019,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_197529,c_198007,c_72]) ).
tff(c_198020,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_198019]) ).
tff(c_198024,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198020,c_174]) ).
tff(c_198037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197920,c_197854,c_198024,c_193777,c_14]) ).
tff(c_198038,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_197915]) ).
tff(c_198207,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198075,c_198098,c_198098,c_198066,c_197904,c_197904,c_198066,c_198038,c_198038,c_198066,c_193748,c_193748,c_562]) ).
tff(c_198208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_194,c_198,c_198207]) ).
tff(c_198209,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_198065]) ).
tff(c_198210,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_198065]) ).
tff(c_198220,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_197904,c_84]) ).
tff(c_198221,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_198220]) ).
tff(c_198222,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_198221]) ).
tff(c_198051,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_197854,c_193777,c_14]) ).
tff(c_198052,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_198051]) ).
tff(c_198253,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198222,c_198052,c_198038,c_70]) ).
tff(c_198254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198210,c_202,c_198,c_198253]) ).
tff(c_198256,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_198221]) ).
tff(c_198280,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_193765,c_197909,c_198256,c_30]) ).
tff(c_198289,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198280,c_198052,c_198038,c_66]) ).
tff(c_198290,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_198289]) ).
tff(c_198391,plain,
( ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198272,c_198209,c_198209,c_198290,c_197904,c_197904,c_193760,c_198052,c_198052,c_198290,c_193748,c_193748,c_570]) ).
tff(c_198392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_202,c_196,c_198391]) ).
tff(c_198393,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_198051]) ).
tff(c_198398,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198393,c_178]) ).
tff(c_198417,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_193765,c_197909,c_198398,c_30]) ).
tff(c_198397,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198393,c_174]) ).
tff(c_198407,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_197534,c_193751,c_198397,c_22]) ).
tff(c_198412,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198407,c_180]) ).
tff(c_198427,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_198417,c_198412]) ).
tff(c_198428,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_196160]) ).
tff(c_198432,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198428,c_158]) ).
tff(c_198441,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_197526]) ).
tff(c_198448,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198441,c_110]) ).
tff(c_198494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_197533,c_198432,c_198448,c_193775,c_12]) ).
tff(c_198495,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_197526]) ).
tff(c_198501,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198495,c_154]) ).
tff(c_198433,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198428,c_164]) ).
tff(c_198536,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_193764,c_198433,c_28]) ).
tff(c_198537,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_198536]) ).
tff(c_198547,plain,
( ( op(e0,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_198537,c_92]) ).
tff(c_198548,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_198501,c_198547]) ).
tff(c_198502,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198495,c_112]) ).
tff(c_198559,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_198502,c_193777,c_14]) ).
tff(c_198560,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_198559]) ).
tff(c_198572,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198548,c_198560,c_70]) ).
tff(c_198573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198530,c_202,c_156574,c_198572]) ).
tff(c_198574,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_198559]) ).
tff(c_198585,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_198574,c_198495,c_64]) ).
tff(c_198586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_197533,c_204,c_198585]) ).
tff(c_198587,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_198536]) ).
tff(c_198599,plain,
( ( op(e0,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_198587,c_92]) ).
tff(c_198600,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198501,c_198599]) ).
tff(c_198611,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_198502,c_193777,c_14]) ).
tff(c_198612,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_198611]) ).
tff(c_198622,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198600,c_198612,c_70]) ).
tff(c_198623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198530,c_202,c_156574,c_198622]) ).
tff(c_198624,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_198611]) ).
tff(c_198649,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_198624,c_198495,c_64]) ).
tff(c_198650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_197533,c_204,c_198649]) ).
tff(c_198651,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_198526]) ).
tff(c_198656,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198651,c_156]) ).
tff(c_198688,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_198689,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198433,c_198501,c_198688]) ).
tff(c_198714,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_198689,c_88]) ).
tff(c_198715,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_198714]) ).
tff(c_198716,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_198715]) ).
tff(c_198727,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_198689,c_198716,c_84]) ).
tff(c_198728,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_198656,c_198727]) ).
tff(c_198729,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_198715]) ).
tff(c_198435,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_198428,c_98]) ).
tff(c_198511,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_198435,c_156576,c_2]) ).
tff(c_198512,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_198511]) ).
tff(c_198813,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_198729,c_198512,c_198512,c_198428,c_198729,c_198512,c_750]) ).
tff(c_198814,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_198511]) ).
tff(c_198818,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198814,c_148]) ).
tff(c_198861,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_197531,c_193752,c_198818,c_18]) ).
tff(c_198873,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_198861,c_198495,c_198814,c_46]) ).
tff(c_198874,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193763,c_202,c_204,c_200,c_198873]) ).
tff(c_198875,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_197528]) ).
tff(c_198889,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198881,c_198875]) ).
tff(c_198893,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198889,c_122]) ).
tff(c_198917,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193752,c_198893,c_18]) ).
tff(c_198918,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_198917]) ).
tff(c_198921,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_198918,c_148]) ).
tff(c_198884,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198877,c_98]) ).
tff(c_198942,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198921,c_156576,c_198884,c_2]) ).
tff(c_199099,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_198918,c_198942,c_198942,c_156570,c_198918,c_198942,c_726]) ).
tff(c_199100,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_198917]) ).
tff(c_199125,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_198889,c_199100,c_80]) ).
tff(c_199126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_199117,c_202,c_200,c_199125]) ).
tff(c_199128,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_199113]) ).
tff(c_198883,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198877,c_102]) ).
tff(c_199149,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_199128,c_156574,c_198883,c_6]) ).
tff(c_199154,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199149,c_176]) ).
tff(c_199159,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_199160,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_199154,c_199159]) ).
tff(c_199161,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_199160]) ).
tff(c_199165,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199161,c_134]) ).
tff(c_198903,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_197526]) ).
tff(c_198908,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198903,c_154]) ).
tff(c_199107,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199100,c_156]) ).
tff(c_199172,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193763,c_199165,c_198908,c_199107,c_26]) ).
tff(c_199174,plain,
op(e0,e2) != e1,
inference(splitRight,[status(thm)],[c_199160]) ).
tff(c_198896,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_198889,c_168]) ).
tff(c_198882,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_198877,c_164]) ).
tff(c_199184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193764,c_199174,c_198896,c_198882,c_28]) ).
tff(c_199185,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_197526]) ).
tff(c_199189,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199185,c_146]) ).
tff(c_199238,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_199189,c_156576,c_198884,c_2]) ).
tff(c_199201,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_198889,c_80]) ).
tff(c_199202,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_199201]) ).
tff(c_199203,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_199202]) ).
tff(c_199206,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199203,c_124]) ).
tff(c_199290,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_199206,c_193752,c_198893,c_18]) ).
tff(c_199207,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199203,c_174]) ).
tff(c_199192,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199185,c_112]) ).
tff(c_199227,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_199207,c_199192,c_193777,c_14]) ).
tff(c_199308,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_199227,c_199185,c_64]) ).
tff(c_199309,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_199308]) ).
tff(c_199208,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199203,c_172]) ).
tff(c_199300,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_199208,c_156574,c_198883,c_6]) ).
tff(c_199389,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199238,c_199290,c_199290,c_193760,c_199309,c_199309,c_199203,c_199300,c_199300,c_199203,c_193748,c_193748,c_498]) ).
tff(c_199390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_204,c_199389]) ).
tff(c_199391,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_199202]) ).
tff(c_199395,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199391,c_148]) ).
tff(c_199445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199395,c_199189,c_156576,c_198884,c_2]) ).
tff(c_199446,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_196160]) ).
tff(c_199788,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199446,c_164]) ).
tff(c_199796,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_72]) ).
tff(c_199797,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_199796]) ).
tff(c_199798,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_199797]) ).
tff(c_199801,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199798,c_126]) ).
tff(c_199809,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_199801,c_198875]) ).
tff(c_199884,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_199798,c_199809,c_80]) ).
tff(c_199885,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_199884]) ).
tff(c_199815,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199809,c_168]) ).
tff(c_199894,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_193764,c_199788,c_199815,c_28]) ).
tff(c_199905,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199894,c_199809,c_199446,c_62]) ).
tff(c_199906,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_199905]) ).
tff(c_199789,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199446,c_102]) ).
tff(c_199790,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199446,c_98]) ).
tff(c_199848,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199790,c_156576,c_2]) ).
tff(c_199849,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_199848]) ).
tff(c_199852,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199849,c_148]) ).
tff(c_199870,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_199798,c_199809,c_80]) ).
tff(c_199871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_199852,c_199870]) ).
tff(c_199872,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_199848]) ).
tff(c_199878,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199872,c_100]) ).
tff(c_199916,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_199789,c_156574,c_199878,c_6]) ).
tff(c_200038,plain,
( ( e2 = e1 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_199885,c_199885,c_193760,c_199906,c_199906,c_193760,c_199916,c_199916,c_199798,c_193748,c_193748,c_498]) ).
tff(c_200039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_198,c_200038]) ).
tff(c_200040,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_199797]) ).
tff(c_200042,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_200040]) ).
tff(c_200045,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200042,c_150]) ).
tff(c_200041,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_199797]) ).
tff(c_200047,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200042,c_122]) ).
tff(c_200067,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200047,c_198875]) ).
tff(c_200072,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200067,c_126]) ).
tff(c_200078,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_193751,c_200041,c_200072,c_22]) ).
tff(c_200088,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_200045,c_197526]) ).
tff(c_200082,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_200078,c_172]) ).
tff(c_200099,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200082,c_199789,c_156574,c_6]) ).
tff(c_200104,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200099,c_100]) ).
tff(c_200156,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_199790,c_156576,c_200104,c_2]) ).
tff(c_199448,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_193777,c_14]) ).
tff(c_199449,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_199448]) ).
tff(c_199465,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199449,c_170]) ).
tff(c_199455,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199446,c_102]) ).
tff(c_199463,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199449,c_174]) ).
tff(c_199456,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_199446,c_98]) ).
tff(c_199590,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199456,c_156576,c_2]) ).
tff(c_199591,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_199590]) ).
tff(c_199594,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199591,c_148]) ).
tff(c_199602,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_198875]) ).
tff(c_199519,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199456,c_156576,c_2]) ).
tff(c_199520,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_199519]) ).
tff(c_199523,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_199520,c_148]) ).
tff(c_199472,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_72]) ).
tff(c_199473,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_199472]) ).
tff(c_199474,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_199473]) ).
tff(c_199477,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199474,c_124]) ).
tff(c_199478,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_199474,c_126]) ).
tff(c_199508,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_199478,c_198875]) ).
tff(c_199512,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199508,c_122]) ).
tff(c_199563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199523,c_193752,c_199477,c_199512,c_18]) ).
tff(c_199564,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_199519]) ).
tff(c_199586,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_199446,c_199564,c_48]) ).
tff(c_199587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_199465,c_204,c_200,c_199586]) ).
tff(c_199588,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_199473]) ).
tff(c_199639,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_199602,c_199588]) ).
tff(c_199640,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_199639]) ).
tff(c_199671,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_199602,c_199640,c_80]) ).
tff(c_199672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_199463,c_200,c_202,c_199671]) ).
tff(c_199673,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_198875]) ).
tff(c_199712,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_199673,c_80]) ).
tff(c_199713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_199463,c_202,c_199594,c_199712]) ).
tff(c_199714,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_199590]) ).
tff(c_199721,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_199714,c_100]) ).
tff(c_199781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_199465,c_199455,c_156574,c_199721,c_6]) ).
tff(c_199782,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_199448]) ).
tff(c_200055,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_199782]) ).
tff(c_200137,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_200055,c_200088,c_64]) ).
tff(c_200138,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_200137]) ).
tff(c_200256,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200078,c_200088,c_200088,c_200156,c_200067,c_200067,c_200138,c_200055,c_200055,c_200156,c_193771,c_193771,c_408]) ).
tff(c_200257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_202,c_202,c_200256]) ).
tff(c_200258,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_199782]) ).
tff(c_200263,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200258,c_112]) ).
tff(c_200293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200045,c_200263,c_197526]) ).
tff(c_200294,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_200040]) ).
tff(c_200301,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200294,c_168]) ).
tff(c_200334,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_200294,c_80]) ).
tff(c_200335,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200334]) ).
tff(c_200336,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_200335]) ).
tff(c_200308,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_199782]) ).
tff(c_200340,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_200336,c_172]) ).
tff(c_200482,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200340,c_199789,c_156574,c_6]) ).
tff(c_200513,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200336,c_200308,c_200482,c_74]) ).
tff(c_200514,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_200513]) ).
tff(c_200312,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_200308,c_112]) ).
tff(c_200322,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_200312,c_197526]) ).
tff(c_200328,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200322,c_154]) ).
tff(c_200348,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_84]) ).
tff(c_200349,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_200348]) ).
tff(c_200350,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_200349]) ).
tff(c_200382,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_200350,c_92]) ).
tff(c_200383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_199788,c_200328,c_200382]) ).
tff(c_200384,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_200349]) ).
tff(c_200386,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_200384]) ).
tff(c_200389,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200386,c_134]) ).
tff(c_200441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193764,c_199788,c_200301,c_200389,c_28]) ).
tff(c_200442,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_200384]) ).
tff(c_200525,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_200514,c_200442,c_88]) ).
tff(c_200526,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_200525]) ).
tff(c_200467,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_200336,c_200294,c_68]) ).
tff(c_200468,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_200467]) ).
tff(c_200472,plain,
op(e3,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200468,c_148]) ).
tff(c_200494,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_199790,c_156576,c_200472,c_2]) ).
tff(c_200574,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200526,c_200494,c_200494,c_199446,c_200526,c_200494,c_750]) ).
tff(c_200575,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_200335]) ).
tff(c_200580,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_200575,c_124]) ).
tff(c_200586,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_84]) ).
tff(c_200587,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_200586]) ).
tff(c_200588,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_200587]) ).
tff(c_200594,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200588,c_180]) ).
tff(c_200599,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200580,c_193751,c_200041,c_200594,c_22]) ).
tff(c_200600,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_200587]) ).
tff(c_200612,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_200600]) ).
tff(c_200615,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_200612,c_134]) ).
tff(c_200648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_193764,c_199788,c_200301,c_200615,c_28]) ).
tff(c_200649,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_200600]) ).
tff(c_200602,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200294,c_199446,c_62]) ).
tff(c_200603,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_193764,c_202,c_204,c_200602]) ).
tff(c_200786,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_200649,c_200603,c_200603,c_200322,c_200649,c_200603,c_762]) ).
tff(c_200787,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_199782]) ).
tff(c_200792,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200787,c_112]) ).
tff(c_200815,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_200792,c_197526]) ).
tff(c_200846,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_200787,c_200815,c_64]) ).
tff(c_200847,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_200846]) ).
tff(c_200801,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_200294,c_80]) ).
tff(c_200802,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200801]) ).
tff(c_200803,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_200802]) ).
tff(c_200807,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_200803,c_172]) ).
tff(c_200833,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_156570,c_199446,c_48]) ).
tff(c_200834,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200807,c_204,c_200833]) ).
tff(c_200880,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200807,c_199789,c_156574,c_6]) ).
tff(c_201001,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_200847,c_200815,c_200815,c_200847,c_200294,c_200294,c_200834,c_200880,c_200880,c_200803,c_193748,c_193748,c_402]) ).
tff(c_201002,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_204,c_201001]) ).
tff(c_201004,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_200802]) ).
tff(c_201040,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_201004,c_193751,c_200041,c_22]) ).
tff(c_200794,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_200787,c_178]) ).
tff(c_201088,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193760,c_92]) ).
tff(c_201089,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_200794,c_199788,c_201088]) ).
tff(c_201060,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_200792,c_197526]) ).
tff(c_201072,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193771,c_200787,c_201060,c_64]) ).
tff(c_201073,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_201072]) ).
tff(c_201005,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_199790,c_156576,c_2]) ).
tff(c_201006,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_201005]) ).
tff(c_201003,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_200802]) ).
tff(c_201009,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_201003,c_148]) ).
tff(c_201027,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_201006,c_201009]) ).
tff(c_201028,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_201005]) ).
tff(c_201212,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_201040,c_201089,c_201089,c_193760,c_201073,c_201073,c_201040,c_200787,c_200787,c_201028,c_193771,c_193771,c_632]) ).
tff(c_201213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_194,c_194,c_201212]) ).
tff(c_201215,plain,
op(e0,e0) != e0,
inference(splitRight,[status(thm)],[c_96]) ).
tff(c_201239,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_193749,c_180471]) ).
tff(c_201301,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_193748,c_201239,c_156570,c_94]) ).
tff(c_201302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201215,c_204,c_200,c_202,c_201301]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : ALG137+1 : TPTP v9.0.0. Released v2.7.0.
% 0.06/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.06/0.31 % Computer : n003.cluster.edu
% 0.06/0.31 % Model : x86_64 x86_64
% 0.06/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.31 % Memory : 8042.1875MB
% 0.06/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.31 % CPULimit : 300
% 0.06/0.31 % WCLimit : 300
% 0.06/0.31 % DateTime : Sun Apr 6 07:03:48 EDT 2025
% 0.06/0.31 % CPUTime :
% 27.52/16.07 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 62.52/48.40
% 62.52/48.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------