%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG135+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n007.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 05:24:21 PM UTC 2025
% Result : Unsatisfiable 20.16s 10.43s
% Output : CNFRefutation 24.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 17
% Syntax : Number of formulae : 6533 (4389 unt; 0 typ; 0 def)
% Number of atoms : 11742 (10982 equ)
% Maximal formula atoms : 128 ( 1 avg)
% Number of connectives : 7239 (2030 ~;5068 |; 141 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 2 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(e3,type,
e3: $i ).
tff(f_567,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e2 != e3 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
tff(f_646,axiom,
( ( ( ( op(e0,e0) = e0 )
& ( op(e0,e0) != e0 ) )
| ( ( op(e1,e0) = e1 )
& ( op(e0,e1) != e0 ) )
| ( ( op(e2,e0) = e2 )
& ( op(e0,e2) != e0 ) )
| ( ( op(e3,e0) = e3 )
& ( op(e0,e3) != e0 ) ) )
& ( ( ( op(e0,e1) = e0 )
& ( op(e1,e0) != e1 ) )
| ( ( op(e1,e1) = e1 )
& ( op(e1,e1) != e1 ) )
| ( ( op(e2,e1) = e2 )
& ( op(e1,e2) != e1 ) )
| ( ( op(e3,e1) = e3 )
& ( op(e1,e3) != e1 ) ) )
& ( ( ( op(e0,e2) = e0 )
& ( op(e2,e0) != e2 ) )
| ( ( op(e1,e2) = e1 )
& ( op(e2,e1) != e2 ) )
| ( ( op(e2,e2) = e2 )
& ( op(e2,e2) != e2 ) )
| ( ( op(e3,e2) = e3 )
& ( op(e2,e3) != e2 ) ) )
& ( ( ( op(e0,e3) = e0 )
& ( op(e3,e0) != e3 ) )
| ( ( op(e1,e3) = e1 )
& ( op(e3,e1) != e3 ) )
| ( ( op(e2,e3) = e2 )
& ( op(e3,e2) != e3 ) )
| ( ( op(e3,e3) = e3 )
& ( op(e3,e3) != e3 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
tff(f_407,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e1) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e3) = e0 ) )
& ( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e0 )
| ( op(e2,e0) = e0 )
| ( op(e3,e0) = e0 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) )
& ( ( op(e0,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e3,e0) = e1 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e3) = e2 ) )
& ( ( op(e0,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e2 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e3) = e3 ) )
& ( ( op(e0,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e3,e0) = e3 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) )
& ( ( op(e1,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e3) = e1 ) )
& ( ( op(e0,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e3,e1) = e1 ) )
& ( ( op(e1,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) )
& ( ( op(e0,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 ) )
& ( ( op(e1,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) )
& ( ( op(e0,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 ) )
& ( ( op(e2,e0) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e3) = e1 ) )
& ( ( op(e0,e2) = e1 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e2) = e1 ) )
& ( ( op(e2,e0) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) = e2 ) )
& ( ( op(e0,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e2 ) )
& ( ( op(e2,e0) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e3) = e3 ) )
& ( ( op(e0,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e3,e3) = e0 ) )
& ( ( op(e3,e0) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e3) = e1 ) )
& ( ( op(e0,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) )
& ( ( op(e3,e0) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) )
& ( ( op(e0,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e2 ) )
& ( ( op(e3,e0) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e3) = e3 ) )
& ( ( op(e0,e3) = e3 )
| ( op(e1,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
tff(f_550,axiom,
( ( op(e0,e0) != op(e1,e0) )
& ( op(e0,e0) != op(e2,e0) )
& ( op(e0,e0) != op(e3,e0) )
& ( op(e1,e0) != op(e2,e0) )
& ( op(e1,e0) != op(e3,e0) )
& ( op(e2,e0) != op(e3,e0) )
& ( op(e0,e1) != op(e1,e1) )
& ( op(e0,e1) != op(e2,e1) )
& ( op(e0,e1) != op(e3,e1) )
& ( op(e1,e1) != op(e2,e1) )
& ( op(e1,e1) != op(e3,e1) )
& ( op(e2,e1) != op(e3,e1) )
& ( op(e0,e2) != op(e1,e2) )
& ( op(e0,e2) != op(e2,e2) )
& ( op(e0,e2) != op(e3,e2) )
& ( op(e1,e2) != op(e2,e2) )
& ( op(e1,e2) != op(e3,e2) )
& ( op(e2,e2) != op(e3,e2) )
& ( op(e0,e3) != op(e1,e3) )
& ( op(e0,e3) != op(e2,e3) )
& ( op(e0,e3) != op(e3,e3) )
& ( op(e1,e3) != op(e2,e3) )
& ( op(e1,e3) != op(e3,e3) )
& ( op(e2,e3) != op(e3,e3) )
& ( op(e0,e0) != op(e0,e1) )
& ( op(e0,e0) != op(e0,e2) )
& ( op(e0,e0) != op(e0,e3) )
& ( op(e0,e1) != op(e0,e2) )
& ( op(e0,e1) != op(e0,e3) )
& ( op(e0,e2) != op(e0,e3) )
& ( op(e1,e0) != op(e1,e1) )
& ( op(e1,e0) != op(e1,e2) )
& ( op(e1,e0) != op(e1,e3) )
& ( op(e1,e1) != op(e1,e2) )
& ( op(e1,e1) != op(e1,e3) )
& ( op(e1,e2) != op(e1,e3) )
& ( op(e2,e0) != op(e2,e1) )
& ( op(e2,e0) != op(e2,e2) )
& ( op(e2,e0) != op(e2,e3) )
& ( op(e2,e1) != op(e2,e2) )
& ( op(e2,e1) != op(e2,e3) )
& ( op(e2,e2) != op(e2,e3) )
& ( op(e3,e0) != op(e3,e1) )
& ( op(e3,e0) != op(e3,e2) )
& ( op(e3,e0) != op(e3,e3) )
& ( op(e3,e1) != op(e3,e2) )
& ( op(e3,e1) != op(e3,e3) )
& ( op(e3,e2) != op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
tff(f_152,axiom,
( ( ( op(e0,e0) = e0 )
| ( op(e0,e0) = e1 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) )
& ( ( op(e0,e1) = e0 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) )
& ( ( op(e0,e2) = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) )
& ( ( op(e0,e3) = e0 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) )
& ( ( op(e1,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) )
& ( ( op(e1,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e3 ) )
& ( ( op(e1,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) )
& ( ( op(e1,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e1,e3) = e2 )
| ( op(e1,e3) = e3 ) )
& ( ( op(e2,e0) = e0 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) )
& ( ( op(e2,e1) = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) )
& ( ( op(e2,e2) = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) )
& ( ( op(e2,e3) = e0 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) )
& ( ( op(e3,e0) = e0 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) )
& ( ( op(e3,e1) = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) )
& ( ( op(e3,e2) = e0 )
| ( op(e3,e2) = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e2) = e3 ) )
& ( ( op(e3,e3) = e0 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 )
| ( op(e3,e3) = e3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
tff(f_784,axiom,
~ ( ( e3 = op(op(e0,e0),op(e0,e0)) )
& ( e2 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) )
& ( e1 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
tff(f_706,axiom,
~ ( ( e1 = op(op(e3,e3),op(e3,e3)) )
& ( e2 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) )
& ( e0 = op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
tff(f_748,axiom,
~ ( ( e2 = op(op(e0,e0),op(e0,e0)) )
& ( e3 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) )
& ( e1 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
tff(f_718,axiom,
~ ( ( e1 = op(op(e2,e2),op(e2,e2)) )
& ( e3 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) )
& ( e0 = op(e2,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
tff(f_676,axiom,
~ ( ( e0 = op(op(e1,e1),op(e1,e1)) )
& ( e3 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) )
& ( e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
tff(f_790,axiom,
~ ( ( e3 = op(op(e1,e1),op(e1,e1)) )
& ( e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) )
& ( e0 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
tff(f_760,axiom,
~ ( ( e3 = op(op(e1,e1),op(e1,e1)) )
& ( e0 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) )
& ( e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
tff(f_730,axiom,
~ ( ( e2 = op(op(e3,e3),op(e3,e3)) )
& ( e0 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) )
& ( e1 = op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
tff(f_772,axiom,
~ ( ( e3 = op(op(e0,e0),op(e0,e0)) )
& ( e1 = op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) )
& ( e2 = op(e0,e0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
tff(f_766,axiom,
~ ( ( e3 = op(op(e2,e2),op(e2,e2)) )
& ( e0 = op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) )
& ( e1 = op(e2,e2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
tff(f_664,axiom,
~ ( ( e0 = op(op(e1,e1),op(e1,e1)) )
& ( e2 = op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) )
& ( e3 = op(e1,e1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
tff(f_658,axiom,
~ ( ( e0 = op(op(e3,e3),op(e3,e3)) )
& ( e1 = op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) )
& ( e2 = op(e3,e3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
tff(c_198,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_194,plain,
e3 != e2,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_202,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_196,plain,
e3 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_212,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e2) != e3 )
| ( op(e3,e3) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_381,plain,
op(e3,e3) != e3,
inference(splitLeft,[status(thm)],[c_212]) ).
tff(c_222,plain,
( ( op(e3,e0) != e3 )
| ( op(e3,e1) != e3 )
| ( op(e3,e2) != e3 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_65554,plain,
( ( op(e3,e0) != e3 )
| ( op(e3,e1) != e3 )
| ( op(e3,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_222]) ).
tff(c_65555,plain,
op(e3,e2) != e3,
inference(splitLeft,[status(thm)],[c_65554]) ).
tff(c_204,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
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_382,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_200,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_64,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_407]) ).
tff(c_11478,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_182,plain,
op(e3,e0) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_11480,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_182]) ).
tff(c_188,plain,
op(e3,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_383,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_188]) ).
tff(c_192,plain,
op(e1,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_385,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_192]) ).
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_393,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_184,plain,
op(e3,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_395,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_184]) ).
tff(c_132,plain,
op(e1,e1) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_397,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_132]) ).
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_416,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_164,plain,
op(e3,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_418,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_416,c_164]) ).
tff(c_186,plain,
op(e2,e0) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_396,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_186]) ).
tff(c_404,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_396,c_64]) ).
tff(c_405,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_114,plain,
op(e2,e2) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_410,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_114]) ).
tff(c_130,plain,
op(e1,e2) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_398,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_130]) ).
tff(c_168,plain,
op(e1,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_420,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_416,c_168]) ).
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_433,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_398,c_420,c_20]) ).
tff(c_434,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_433]) ).
tff(c_162,plain,
op(e2,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_437,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_434,c_162]) ).
tff(c_166,plain,
op(e2,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_419,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_416,c_166]) ).
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_656,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_410,c_437,c_419,c_12]) ).
tff(c_118,plain,
op(e2,e2) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_662,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_656,c_118]) ).
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_686,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_687,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_662,c_686]) ).
tff(c_332,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_756,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_687,c_393,c_382,c_332]) ).
tff(c_757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_662,c_204,c_204,c_756]) ).
tff(c_758,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_433]) ).
tff(c_774,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_758,c_162]) ).
tff(c_268,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_800,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_758,c_416,c_268]) ).
tff(c_801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_418,c_774,c_198,c_200,c_800]) ).
tff(c_802,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_804,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_802]) ).
tff(c_106,plain,
op(e3,e2) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_810,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_804,c_106]) ).
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_1414,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_82]) ).
tff(c_1415,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_810,c_1414]) ).
tff(c_1528,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1415,c_393,c_382,c_332]) ).
tff(c_1529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_810,c_194,c_204,c_204,c_1528]) ).
tff(c_1531,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_802]) ).
tff(c_1530,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_802]) ).
tff(c_1532,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_1530]) ).
tff(c_3013,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1532,c_268]) ).
tff(c_3014,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_1531,c_196,c_3013]) ).
tff(c_3015,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_3014]) ).
tff(c_3018,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3015,c_166]) ).
tff(c_178,plain,
op(e2,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_407,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_178]) ).
tff(c_144,plain,
op(e0,e1) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_387,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_144]) ).
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_2129,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_1532,c_72]) ).
tff(c_2130,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_2129]) ).
tff(c_2131,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_2130]) ).
tff(c_180,plain,
op(e1,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2134,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2131,c_180]) ).
tff(c_172,plain,
op(e3,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2135,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2131,c_172]) ).
tff(c_170,plain,
op(e3,e1) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_406,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_170]) ).
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_1543,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_6]) ).
tff(c_1544,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_1543]) ).
tff(c_1547,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1544,c_172]) ).
tff(c_128,plain,
op(e1,e3) != op(e1,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_399,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_393,c_128]) ).
tff(c_1555,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_1532,c_72]) ).
tff(c_1556,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_1555]) ).
tff(c_1557,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_1556]) ).
tff(c_284,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_1572,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_1557,c_284]) ).
tff(c_1573,plain,
op(e1,e3) != e1,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_407,c_1572]) ).
tff(c_124,plain,
op(e1,e3) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1562,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_1557,c_124]) ).
tff(c_122,plain,
op(e1,e3) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1537,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1532,c_122]) ).
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_1648,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_1573,c_1562,c_1537,c_18]) ).
tff(c_1650,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_1556]) ).
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_2115,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_1544,c_70]) ).
tff(c_2116,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_1650,c_202,c_198,c_2115]) ).
tff(c_300,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_2125,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1544,c_405,c_2116,c_300]) ).
tff(c_2126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_1547,c_202,c_2125]) ).
tff(c_2127,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_1543]) ).
tff(c_2141,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_2135,c_2127]) ).
tff(c_176,plain,
op(e3,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2145,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2141,c_176]) ).
tff(c_30,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_2270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407,c_387,c_2134,c_2145,c_30]) ).
tff(c_2271,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_2130]) ).
tff(c_156,plain,
op(e1,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2278,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2271,c_156]) ).
tff(c_148,plain,
op(e3,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2277,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2271,c_148]) ).
tff(c_2285,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_2127]) ).
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_2546,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2285,c_40]) ).
tff(c_2547,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_2277,c_2546]) ).
tff(c_2548,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_2547]) ).
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_2566,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2548,c_2285,c_48]) ).
tff(c_2567,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_2566]) ).
tff(c_2568,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_2567]) ).
tff(c_98,plain,
op(e3,e3) != op(e3,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2573,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_2568,c_98]) ).
tff(c_108,plain,
op(e3,e1) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2292,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2285,c_108]) ).
tff(c_2288,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2285,c_176]) ).
tff(c_190,plain,
op(e2,e0) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_384,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_190]) ).
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_2297,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_60]) ).
tff(c_2298,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_384,c_204,c_2297]) ).
tff(c_2299,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_2298]) ).
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_2323,plain,
( ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1532,c_2299,c_62]) ).
tff(c_2324,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_2323]) ).
tff(c_2325,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_2324]) ).
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_2419,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_2325,c_84]) ).
tff(c_2420,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_2288,c_200,c_2419]) ).
tff(c_154,plain,
op(e2,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2424,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2420,c_154]) ).
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_2452,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_2299,c_52]) ).
tff(c_2453,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_2424,c_2452]) ).
tff(c_2490,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2453,c_393,c_382,c_332]) ).
tff(c_2491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2292,c_194,c_204,c_204,c_2490]) ).
tff(c_2493,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_2324]) ).
tff(c_2492,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_2324]) ).
tff(c_2520,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2492,c_2299,c_1532,c_268]) ).
tff(c_2521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_2493,c_2520]) ).
tff(c_2522,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_2298]) ).
tff(c_146,plain,
op(e3,e3) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2527,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_2522,c_146]) ).
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_2629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2573,c_2527,c_2277,c_381,c_2]) ).
tff(c_2630,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_2567]) ).
tff(c_803,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_50]) ).
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_2645,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_88]) ).
tff(c_2646,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_2278,c_2645]) ).
tff(c_2647,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_2646]) ).
tff(c_2678,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_2647,c_84]) ).
tff(c_2679,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_803,c_2678]) ).
tff(c_236,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_2708,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2630,c_2522,c_2271,c_2679,c_236]) ).
tff(c_2709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_198,c_200,c_2708]) ).
tff(c_2711,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_2646]) ).
tff(c_2272,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_2130]) ).
tff(c_2735,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_2285,c_70]) ).
tff(c_2736,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2711,c_2272,c_202,c_194,c_2735]) ).
tff(c_2738,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_2547]) ).
tff(c_1535,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1532,c_162]) ).
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_2829,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_396,c_384,c_16]) ).
tff(c_2830,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_2829]) ).
tff(c_2893,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2830,c_405,c_2522,c_52]) ).
tff(c_2894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_1535,c_196,c_2893]) ).
tff(c_2895,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_2829]) ).
tff(c_2924,plain,
( ( op(e3,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_2895,c_86]) ).
tff(c_2925,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_2738,c_2924]) ).
tff(c_2926,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_2127]) ).
tff(c_2930,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2926,c_176]) ).
tff(c_3071,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_407,c_387,c_2930,c_30]) ).
tff(c_3085,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_3071,c_88]) ).
tff(c_3086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_3018,c_2278,c_3085]) ).
tff(c_3088,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_3014]) ).
tff(c_102,plain,
op(e3,e2) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2933,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2926,c_102]) ).
tff(c_3087,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_3014]) ).
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_3152,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3087,c_1532,c_54]) ).
tff(c_3153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_3088,c_2933,c_3152]) ).
tff(c_3154,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_1530]) ).
tff(c_4444,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_268]) ).
tff(c_4445,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1531,c_194,c_4444]) ).
tff(c_4446,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_4445]) ).
tff(c_126,plain,
op(e1,e2) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4452,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4446,c_126]) ).
tff(c_3161,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_118]) ).
tff(c_3702,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_82]) ).
tff(c_3703,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_3161,c_3702]) ).
tff(c_3166,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_406,c_6]) ).
tff(c_3167,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_3166]) ).
tff(c_112,plain,
op(e2,e3) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_409,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_112]) ).
tff(c_3155,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_1530]) ).
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_3181,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_68]) ).
tff(c_3182,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_3155,c_3181]) ).
tff(c_3183,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_3182]) ).
tff(c_3186,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3183,c_180]) ).
tff(c_3411,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_407,c_387,c_3186,c_30]) ).
tff(c_136,plain,
op(e0,e3) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3415,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3411,c_136]) ).
tff(c_3295,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_3154,c_60]) ).
tff(c_3296,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_204,c_196,c_3295]) ).
tff(c_3221,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_3154,c_60]) ).
tff(c_3222,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_204,c_196,c_3221]) ).
tff(c_150,plain,
op(e2,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3226,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3222,c_150]) ).
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_3198,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_399,c_409,c_46]) ).
tff(c_3199,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_3198]) ).
tff(c_152,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3202,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3199,c_152]) ).
tff(c_100,plain,
op(e3,e3) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3171,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3167,c_100]) ).
tff(c_3256,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_3202,c_3171,c_381,c_2]) ).
tff(c_3260,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3256,c_148]) ).
tff(c_3188,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3183,c_124]) ).
tff(c_3277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_3226,c_3260,c_3188,c_18]) ).
tff(c_3278,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_3198]) ).
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_3424,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3296,c_3278,c_38]) ).
tff(c_3425,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_3415,c_198,c_202,c_3424]) ).
tff(c_3430,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3425,c_122]) ).
tff(c_266,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_3194,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_266]) ).
tff(c_3195,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1531,c_194,c_3194]) ).
tff(c_3196,plain,
op(e2,e0) != e2,
inference(splitLeft,[status(thm)],[c_3195]) ).
tff(c_3401,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_3402,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_3196,c_3401]) ).
tff(c_3406,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3402,c_106]) ).
tff(c_3324,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_3325,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_3196,c_3324]) ).
tff(c_3329,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3325,c_106]) ).
tff(c_3309,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_268]) ).
tff(c_3310,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1531,c_194,c_3309]) ).
tff(c_3311,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_3310]) ).
tff(c_3352,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3311,c_3154,c_54]) ).
tff(c_3353,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_3329,c_3352]) ).
tff(c_138,plain,
op(e0,e2) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3357,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3353,c_138]) ).
tff(c_3387,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3183,c_405,c_3167,c_70]) ).
tff(c_3388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3357,c_194,c_202,c_198,c_3387]) ).
tff(c_3389,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_3310]) ).
tff(c_3439,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3389,c_3154,c_54]) ).
tff(c_3440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_3430,c_194,c_3406,c_3439]) ).
tff(c_3441,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_3195]) ).
tff(c_3448,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_3441,c_122]) ).
tff(c_3442,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_3195]) ).
tff(c_116,plain,
op(e2,e3) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3457,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3442,c_116]) ).
tff(c_3462,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_3457,c_3448,c_236]) ).
tff(c_3465,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3462,c_152]) ).
tff(c_3456,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3442,c_182]) ).
tff(c_3488,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3167,c_40]) ).
tff(c_3489,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_3456,c_198,c_3488]) ).
tff(c_3490,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_3489]) ).
tff(c_3504,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3167,c_3490,c_48]) ).
tff(c_3505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_204,c_202,c_3465,c_3504]) ).
tff(c_3506,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_3489]) ).
tff(c_3511,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3506,c_148]) ).
tff(c_3545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_3448,c_3511,c_3188,c_18]) ).
tff(c_3546,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_3182]) ).
tff(c_3565,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3546,c_46]) ).
tff(c_3566,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_409,c_3565]) ).
tff(c_3567,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_3566]) ).
tff(c_134,plain,
op(e0,e3) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3573,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3567,c_134]) ).
tff(c_3595,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_268]) ).
tff(c_3596,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_1531,c_194,c_3573,c_3595]) ).
tff(c_3571,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3567,c_152]) ).
tff(c_3610,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_3571,c_3171,c_381,c_2]) ).
tff(c_3624,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3167,c_3610,c_48]) ).
tff(c_3625,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_395,c_204,c_202,c_3624]) ).
tff(c_3637,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3596,c_3154,c_3625,c_54]) ).
tff(c_3638,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_3637]) ).
tff(c_3649,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_3638,c_3567,c_84]) ).
tff(c_3650,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_3649]) ).
tff(c_3672,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3650,c_405,c_3167,c_70]) ).
tff(c_3673,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_3672]) ).
tff(c_292,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_3684,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3167,c_3596,c_3673,c_3650,c_292]) ).
tff(c_3685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_200,c_3684]) ).
tff(c_3686,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_3566]) ).
tff(c_3727,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3703,c_3167,c_3686,c_40]) ).
tff(c_3728,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_3727]) ).
tff(c_3732,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3728,c_164]) ).
tff(c_110,plain,
op(e2,e3) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3160,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_110]) ).
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_3737,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_409,c_3160,c_10]) ).
tff(c_3738,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_3737]) ).
tff(c_234,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_3750,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3686,c_3738,c_3546,c_3703,c_234]) ).
tff(c_3751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_3750]) ).
tff(c_3752,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_3737]) ).
tff(c_3756,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3752,c_154]) ).
tff(c_3550,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3546,c_156]) ).
tff(c_3780,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_84]) ).
tff(c_3781,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_803,c_3550,c_3780]) ).
tff(c_3797,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_3781,c_88]) ).
tff(c_3798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_3732,c_3756,c_3797]) ).
tff(c_3799,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_3166]) ).
tff(c_3803,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_3799]) ).
tff(c_3806,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3803,c_176]) ).
tff(c_3807,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_3803,c_172]) ).
tff(c_3824,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3154,c_266]) ).
tff(c_3825,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_1531,c_194,c_3824]) ).
tff(c_3826,plain,
op(e2,e0) != e2,
inference(splitLeft,[status(thm)],[c_3825]) ).
tff(c_4175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396,c_384,c_3826,c_3161,c_16]) ).
tff(c_4176,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_3825]) ).
tff(c_4197,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_4176,c_68]) ).
tff(c_4198,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_3807,c_196,c_4197]) ).
tff(c_4202,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4198,c_156]) ).
tff(c_4177,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_3825]) ).
tff(c_4191,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4177,c_182]) ).
tff(c_4218,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3803,c_40]) ).
tff(c_4219,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_4191,c_194,c_4218]) ).
tff(c_4220,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_4219]) ).
tff(c_4223,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4220,c_164]) ).
tff(c_4258,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_88]) ).
tff(c_4259,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_4223,c_4258]) ).
tff(c_4260,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_4259]) ).
tff(c_4286,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_4260,c_84]) ).
tff(c_4287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_803,c_4202,c_4286]) ).
tff(c_4288,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_4259]) ).
tff(c_4313,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_4288,c_84]) ).
tff(c_4314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_3806,c_803,c_194,c_4313]) ).
tff(c_4315,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_4219]) ).
tff(c_4350,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3803,c_4315,c_48]) ).
tff(c_4351,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_395,c_200,c_202,c_4350]) ).
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_4423,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3803,c_4351,c_4315,c_44]) ).
tff(c_4424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_383,c_196,c_204,c_198,c_4423]) ).
tff(c_4425,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_3799]) ).
tff(c_4430,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4425,c_172]) ).
tff(c_4429,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4425,c_176]) ).
tff(c_4457,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_4446,c_68]) ).
tff(c_4458,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_4457]) ).
tff(c_4459,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_4458]) ).
tff(c_4463,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4459,c_180]) ).
tff(c_4796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_407,c_387,c_4429,c_4463,c_30]) ).
tff(c_4798,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_4458]) ).
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_4903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397,c_4452,c_4430,c_4798,c_22]) ).
tff(c_4904,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_4445]) ).
tff(c_4911,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4904,c_134]) ).
tff(c_4441,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_284]) ).
tff(c_4442,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_407,c_4441]) ).
tff(c_4443,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_4442]) ).
tff(c_4432,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4425,c_102]) ).
tff(c_5026,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4904,c_3154,c_54]) ).
tff(c_5027,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_4432,c_5026]) ).
tff(c_5032,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5027,c_122]) ).
tff(c_4918,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_68]) ).
tff(c_4919,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_3155,c_4918]) ).
tff(c_4920,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_4919]) ).
tff(c_4925,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4920,c_124]) ).
tff(c_5049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_4443,c_5032,c_4925,c_18]) ).
tff(c_5050,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_4919]) ).
tff(c_5076,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5050,c_46]) ).
tff(c_5077,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_4911,c_200,c_409,c_5076]) ).
tff(c_140,plain,
op(e0,e3) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_388,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_140]) ).
tff(c_5055,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5050,c_156]) ).
tff(c_26,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_5096,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_4911,c_388,c_5055,c_26]) ).
tff(c_5100,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5096,c_154]) ).
tff(c_5150,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_409,c_5100,c_3160,c_10]) ).
tff(c_5165,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_382,c_332]) ).
tff(c_5166,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_5165]) ).
tff(c_5167,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_5166]) ).
tff(c_5193,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5077,c_5150,c_5050,c_5167,c_234]) ).
tff(c_5194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_5193]) ).
tff(c_5196,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_5166]) ).
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_5223,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4425,c_5077,c_36]) ).
tff(c_5224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5196,c_194,c_1531,c_200,c_5223]) ).
tff(c_5226,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_4442]) ).
tff(c_5225,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_4442]) ).
tff(c_5231,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5225,c_124]) ).
tff(c_5248,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5226,c_5231]) ).
tff(c_5249,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_5251,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_5249]) ).
tff(c_5253,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_146]) ).
tff(c_5252,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_154]) ).
tff(c_5255,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_110]) ).
tff(c_5262,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_5274,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_38]) ).
tff(c_5275,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_5274]) ).
tff(c_5276,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_5275]) ).
tff(c_5282,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5276,c_152]) ).
tff(c_5314,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_5253,c_5282,c_381,c_2]) ).
tff(c_5318,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_5314,c_148]) ).
tff(c_5264,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5262,c_164]) ).
tff(c_5277,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_5264,c_381,c_36]) ).
tff(c_5278,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_5277]) ).
tff(c_5442,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5314,c_5251,c_5278,c_234]) ).
tff(c_5443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_5318,c_5442]) ).
tff(c_5444,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_5277]) ).
tff(c_5449,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5276,c_152]) ).
tff(c_5471,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_5253,c_5449,c_381,c_2]) ).
tff(c_5514,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5444,c_5471,c_40]) ).
tff(c_5515,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_5514]) ).
tff(c_5516,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_5515]) ).
tff(c_5445,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_5277]) ).
tff(c_5499,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_82]) ).
tff(c_5500,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_5445,c_5499]) ).
tff(c_5451,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5276,c_136]) ).
tff(c_5267,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5262,c_138]) ).
tff(c_5563,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_387,c_5451,c_5267,c_30]) ).
tff(c_328,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e1) != e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_5605,plain,
( ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5516,c_5500,c_5563,c_382,c_328]) ).
tff(c_5606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_5605]) ).
tff(c_5607,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_5515]) ).
tff(c_5618,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5262,c_5607,c_62]) ).
tff(c_5619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_398,c_5255,c_202,c_5618]) ).
tff(c_5621,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_5275]) ).
tff(c_5268,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5262,c_134]) ).
tff(c_5775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5252,c_388,c_5621,c_5268,c_26]) ).
tff(c_5776,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_5778,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_5776]) ).
tff(c_5784,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5778,c_106]) ).
tff(c_6266,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_82]) ).
tff(c_6267,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_5784,c_6266]) ).
tff(c_6276,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6267,c_393,c_382,c_332]) ).
tff(c_6277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5784,c_194,c_204,c_204,c_6276]) ).
tff(c_6279,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_5776]) ).
tff(c_6316,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_38]) ).
tff(c_6317,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_6316]) ).
tff(c_6318,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_6317]) ).
tff(c_6324,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6318,c_134]) ).
tff(c_5777,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_6332,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_6333,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_6332]) ).
tff(c_6334,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_6333]) ).
tff(c_120,plain,
op(e2,e1) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6338,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6334,c_120]) ).
tff(c_6278,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_5776]) ).
tff(c_6280,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_6278]) ).
tff(c_6283,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6280,c_162]) ).
tff(c_6300,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_5255,c_6283,c_12]) ).
tff(c_6301,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_6300]) ).
tff(c_6403,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6280,c_6301,c_54]) ).
tff(c_6404,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_6324,c_194,c_198,c_6403]) ).
tff(c_6408,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6404,c_102]) ).
tff(c_6392,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_6318,c_84]) ).
tff(c_6393,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_5777,c_194,c_6392]) ).
tff(c_6343,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_6334,c_82]) ).
tff(c_6344,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_6343]) ).
tff(c_6348,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6344,c_108]) ).
tff(c_6367,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_6348,c_6338,c_300]) ).
tff(c_6368,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_6367]) ).
tff(c_6422,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6393,c_6368,c_70]) ).
tff(c_6423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_6338,c_6408,c_6422]) ).
tff(c_6424,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_6367]) ).
tff(c_6440,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_6424,c_6318,c_84]) ).
tff(c_6441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_5777,c_194,c_6440]) ).
tff(c_6442,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_6333]) ).
tff(c_6448,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6442,c_106]) ).
tff(c_6474,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6280,c_6301,c_54]) ).
tff(c_6475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6324,c_194,c_198,c_6448,c_6474]) ).
tff(c_6477,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_6317]) ).
tff(c_6776,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6301,c_6280,c_268]) ).
tff(c_6777,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_6279,c_198,c_196,c_6776]) ).
tff(c_6780,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6777,c_164]) ).
tff(c_158,plain,
op(e3,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6305,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6301,c_158]) ).
tff(c_6781,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6777,c_138]) ).
tff(c_6788,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6781,c_387,c_30]) ).
tff(c_6789,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_6788]) ).
tff(c_6793,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6789,c_176]) ).
tff(c_6517,plain,
( ( op(e2,e0) != e2 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6301,c_6280,c_266]) ).
tff(c_6518,plain,
op(e2,e0) != e2,
inference(negUnitSimplification,[status(thm)],[c_6279,c_198,c_196,c_6517]) ).
tff(c_6476,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_6317]) ).
tff(c_6478,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_6476]) ).
tff(c_104,plain,
op(e3,e3) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6485,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6478,c_104]) ).
tff(c_6492,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6478,c_5251,c_234]) ).
tff(c_6493,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_6492]) ).
tff(c_6494,plain,
op(e3,e0) != e3,
inference(splitLeft,[status(thm)],[c_6493]) ).
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_6495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_383,c_6485,c_6494,c_8]) ).
tff(c_6497,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_6493]) ).
tff(c_6762,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_6497,c_86]) ).
tff(c_6763,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_6518,c_194,c_6762]) ).
tff(c_6764,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_6476]) ).
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_6800,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6764,c_5251,c_42]) ).
tff(c_6801,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_388,c_198,c_204,c_6800]) ).
tff(c_6817,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6801,c_40]) ).
tff(c_6818,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_6793,c_198,c_6817]) ).
tff(c_6819,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_6818]) ).
tff(c_6824,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6819,c_106]) ).
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_6909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6780,c_6305,c_6824,c_6279,c_4]) ).
tff(c_6910,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_6818]) ).
tff(c_7006,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6301,c_5251,c_52]) ).
tff(c_7007,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_7006]) ).
tff(c_7008,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_7007]) ).
tff(c_7012,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7008,c_120]) ).
tff(c_6792,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6789,c_178]) ).
tff(c_6929,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6789,c_300]) ).
tff(c_6930,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_6792,c_202,c_6929]) ).
tff(c_6931,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_6930]) ).
tff(c_6936,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6931,c_108]) ).
tff(c_6973,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_382,c_332]) ).
tff(c_6974,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_6936,c_204,c_204,c_6973]) ).
tff(c_6993,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6910,c_6301,c_6280,c_6974,c_266]) ).
tff(c_6994,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_6993]) ).
tff(c_6996,plain,
op(e3,e1) != e3,
inference(splitRight,[status(thm)],[c_6930]) ).
tff(c_6995,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_6930]) ).
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_7024,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6789,c_6995,c_66]) ).
tff(c_7025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_7012,c_6996,c_7024]) ).
tff(c_7027,plain,
op(e2,e0) != e3,
inference(splitRight,[status(thm)],[c_7007]) ).
tff(c_7044,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_396,c_384,c_7027,c_16]) ).
tff(c_7085,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6910,c_6301,c_6280,c_7044,c_266]) ).
tff(c_7086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_7085]) ).
tff(c_7087,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_6788]) ).
tff(c_7158,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_7087,c_6777,c_88]) ).
tff(c_7159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_6477,c_7158]) ).
tff(c_7160,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_6300]) ).
tff(c_7167,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_118]) ).
tff(c_7370,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_382,c_332]) ).
tff(c_7371,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_7167,c_204,c_204,c_7370]) ).
tff(c_7173,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_38]) ).
tff(c_7174,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_7173]) ).
tff(c_7175,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_7174]) ).
tff(c_7325,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_7175,c_84]) ).
tff(c_7326,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_5777,c_194,c_7325]) ).
tff(c_7329,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_176]) ).
tff(c_7187,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_5251,c_60]) ).
tff(c_7188,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_198,c_204,c_7187]) ).
tff(c_7165,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_158]) ).
tff(c_7179,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7175,c_152]) ).
tff(c_7205,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7165,c_7179,c_40]) ).
tff(c_7206,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_7205]) ).
tff(c_7210,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7206,c_108]) ).
tff(c_7346,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_7188,c_70]) ).
tff(c_7347,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_7210,c_7346]) ).
tff(c_7356,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7188,c_7347,c_7326,c_300]) ).
tff(c_7357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7329,c_198,c_198,c_200,c_7356]) ).
tff(c_7358,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_7205]) ).
tff(c_7383,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7371,c_7358,c_48]) ).
tff(c_7384,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_5253,c_7383]) ).
tff(c_7387,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7384,c_164]) ).
tff(c_142,plain,
op(e0,e2) != op(e0,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_386,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_142]) ).
tff(c_7164,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7160,c_166]) ).
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_7431,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7387,c_386,c_7164,c_5777,c_28]) ).
tff(c_7432,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_7174]) ).
tff(c_7434,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_7432]) ).
tff(c_7447,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7434,c_5251,c_234]) ).
tff(c_7448,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_7447]) ).
tff(c_7449,plain,
op(e3,e0) != e3,
inference(splitLeft,[status(thm)],[c_7448]) ).
tff(c_7554,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_382,c_332]) ).
tff(c_7555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7449,c_7167,c_204,c_204,c_7554]) ).
tff(c_7557,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_7448]) ).
tff(c_7702,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_7557,c_86]) ).
tff(c_7703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_7167,c_194,c_7702]) ).
tff(c_7704,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_6278]) ).
tff(c_8291,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_268]) ).
tff(c_8292,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_6279,c_194,c_8291]) ).
tff(c_8293,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_8292]) ).
tff(c_8298,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8293,c_122]) ).
tff(c_7716,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_38]) ).
tff(c_7717,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_7716]) ).
tff(c_7718,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_7717]) ).
tff(c_7906,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_7718,c_236]) ).
tff(c_7907,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_202,c_7906]) ).
tff(c_7911,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7907,c_122]) ).
tff(c_7937,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_268]) ).
tff(c_7938,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_6279,c_194,c_7911,c_7937]) ).
tff(c_7944,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7938,c_138]) ).
tff(c_7921,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_5251,c_60]) ).
tff(c_7922,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_196,c_204,c_7921]) ).
tff(c_7761,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_7718,c_236]) ).
tff(c_7762,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_202,c_7761]) ).
tff(c_7750,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_5251,c_60]) ).
tff(c_7751,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_196,c_204,c_7750]) ).
tff(c_7736,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_7738,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7736,c_176]) ).
tff(c_7723,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7718,c_136]) ).
tff(c_7842,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_7738,c_387,c_7723,c_30]) ).
tff(c_7875,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7842,c_7751,c_7736,c_70]) ).
tff(c_7876,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_7875]) ).
tff(c_7890,plain,
( ( e3 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7762,c_7751,c_7876,c_7842,c_284]) ).
tff(c_7891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_200,c_7890]) ).
tff(c_7892,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_7894,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_7892]) ).
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_7949,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7922,c_7894,c_78]) ).
tff(c_7950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7944,c_397,c_204,c_200,c_7949]) ).
tff(c_7951,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_7892]) ).
tff(c_7953,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_7951]) ).
tff(c_7956,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_7953,c_170]) ).
tff(c_7982,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_5251,c_60]) ).
tff(c_7983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_384,c_7956,c_196,c_204,c_7982]) ).
tff(c_7984,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_7951]) ).
tff(c_7989,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7984,c_170]) ).
tff(c_7999,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_7989,c_284]) ).
tff(c_8000,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_7999]) ).
tff(c_8015,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5251,c_7718,c_236]) ).
tff(c_8016,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_8000,c_202,c_8015]) ).
tff(c_8018,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_7999]) ).
tff(c_8023,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8018,c_124]) ).
tff(c_8017,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_7999]) ).
tff(c_8030,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_8023,c_8017]) ).
tff(c_8044,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_8030,c_7718,c_84]) ).
tff(c_8045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_5777,c_194,c_8044]) ).
tff(c_8046,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_7717]) ).
tff(c_8048,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_8046]) ).
tff(c_8052,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8048,c_148]) ).
tff(c_8047,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_7717]) ).
tff(c_8080,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_5252,c_388,c_8047,c_26]) ).
tff(c_8084,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8080,c_156]) ).
tff(c_8344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_8298,c_8052,c_8084,c_18]) ).
tff(c_8345,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_8292]) ).
tff(c_8359,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8345,c_164]) ).
tff(c_8370,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8048,c_48]) ).
tff(c_8371,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_395,c_8359,c_202,c_8370]) ).
tff(c_8275,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_5251,c_60]) ).
tff(c_8276,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_196,c_204,c_8275]) ).
tff(c_8102,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_386,c_5777,c_28]) ).
tff(c_8103,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_8102]) ).
tff(c_8106,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8103,c_164]) ).
tff(c_7710,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_114]) ).
tff(c_8063,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_7710,c_66]) ).
tff(c_8064,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_8063]) ).
tff(c_8070,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8064,c_136]) ).
tff(c_8077,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5252,c_388,c_8047,c_8070,c_26]) ).
tff(c_8078,plain,
( ( op(e1,e1) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_8063]) ).
tff(c_8091,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_8078]) ).
tff(c_8141,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8091,c_8048,c_48]) ).
tff(c_8142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_200,c_8106,c_202,c_8141]) ).
tff(c_8143,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_8102]) ).
tff(c_8173,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_8143,c_268]) ).
tff(c_8174,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_6279,c_194,c_202,c_8173]) ).
tff(c_8180,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8174,c_126]) ).
tff(c_5250,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_8195,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8091,c_78]) ).
tff(c_8196,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_397,c_5250,c_200,c_8195]) ).
tff(c_8214,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8196,c_8091,c_70]) ).
tff(c_8215,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_8214]) ).
tff(c_8216,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_8215]) ).
tff(c_8232,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_8216,c_8174,c_68]) ).
tff(c_8233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_8084,c_8232]) ).
tff(c_8235,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_8215]) ).
tff(c_8095,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8091,c_172]) ).
tff(c_8253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_397,c_8180,c_8235,c_8095,c_22]) ).
tff(c_8254,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_8078]) ).
tff(c_8416,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_8345,c_8080,c_88]) ).
tff(c_8417,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_8416]) ).
tff(c_8431,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8371,c_8276,c_8254,c_8417,c_300]) ).
tff(c_8432,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_202,c_8431]) ).
tff(c_8434,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_8046]) ).
tff(c_8464,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_5253,c_8434,c_381,c_2]) ).
tff(c_8433,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_8046]) ).
tff(c_8439,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8433,c_124]) ).
tff(c_8621,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_84]) ).
tff(c_8622,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_5777,c_8621]) ).
tff(c_8623,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_8622]) ).
tff(c_8638,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_5251,c_60]) ).
tff(c_8639,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_384,c_196,c_204,c_8638]) ).
tff(c_8469,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8464,c_100]) ).
tff(c_8445,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_6279,c_381,c_36]) ).
tff(c_8446,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_8445]) ).
tff(c_8450,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8446,c_108]) ).
tff(c_8500,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_8469,c_8450,c_6]) ).
tff(c_8501,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_8500]) ).
tff(c_8655,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8623,c_8639,c_8501,c_70]) ).
tff(c_8656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_8439,c_198,c_202,c_8655]) ).
tff(c_8657,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_8622]) ).
tff(c_8737,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8464,c_5251,c_8433,c_8657,c_236]) ).
tff(c_8738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_8737]) ).
tff(c_8739,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_8500]) ).
tff(c_8752,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8739,c_78]) ).
tff(c_8753,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_397,c_5250,c_202,c_8752]) ).
tff(c_8764,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_8753,c_88]) ).
tff(c_8765,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_8047,c_8764]) ).
tff(c_8788,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_8753,c_8765,c_84]) ).
tff(c_8789,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_8788]) ).
tff(c_8863,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8464,c_5251,c_8433,c_8789,c_236]) ).
tff(c_8864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_8863]) ).
tff(c_8865,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_8445]) ).
tff(c_7711,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_118]) ).
tff(c_8894,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7704,c_266]) ).
tff(c_8895,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_6279,c_194,c_8894]) ).
tff(c_8896,plain,
op(e2,e0) != e2,
inference(splitLeft,[status(thm)],[c_8895]) ).
tff(c_8930,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_8931,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_8896,c_8930]) ).
tff(c_8978,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_8931,c_82]) ).
tff(c_8979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_7711,c_194,c_8978]) ).
tff(c_8981,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_8895]) ).
tff(c_8995,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8981,c_182]) ).
tff(c_8883,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_5253,c_8434,c_381,c_2]) ).
tff(c_9034,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8865,c_8883,c_40]) ).
tff(c_9035,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_8995,c_194,c_198,c_9034]) ).
tff(c_9052,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8865,c_9035,c_8883,c_48]) ).
tff(c_9053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_200,c_202,c_204,c_9052]) ).
tff(c_9054,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_5249]) ).
tff(c_10314,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_50]) ).
tff(c_10315,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_10314]) ).
tff(c_10316,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_10315]) ).
tff(c_10319,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10316,c_164]) ).
tff(c_11037,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_10316,c_268]) ).
tff(c_11038,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_10319,c_202,c_200,c_11037]) ).
tff(c_11043,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11038,c_126]) ).
tff(c_10988,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_10990,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10988,c_176]) ).
tff(c_11061,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10988,c_11038,c_292]) ).
tff(c_11062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_11043,c_10990,c_11061]) ).
tff(c_11063,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_11065,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_11063]) ).
tff(c_11072,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11065,c_108]) ).
tff(c_11098,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_82]) ).
tff(c_11099,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_11072,c_11098]) ).
tff(c_11126,plain,
( ( op(e3,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_11099,c_86]) ).
tff(c_11127,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_11126]) ).
tff(c_11131,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11127,c_106]) ).
tff(c_11115,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_10316,c_268]) ).
tff(c_11116,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_10319,c_202,c_200,c_11115]) ).
tff(c_11153,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10316,c_11116,c_9054,c_54]) ).
tff(c_11154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_11131,c_11153]) ).
tff(c_11155,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_11063]) ).
tff(c_11157,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_11155]) ).
tff(c_11163,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11157,c_100]) ).
tff(c_9068,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_9070,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9068,c_154]) ).
tff(c_9079,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_9055,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_5249]) ).
tff(c_9172,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9068,c_46]) ).
tff(c_9173,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_399,c_9055,c_9172]) ).
tff(c_9195,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9173,c_9068,c_236]) ).
tff(c_9196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_9070,c_9079,c_202,c_9195]) ).
tff(c_9198,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_9203,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9198,c_122]) ).
tff(c_9056,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_166]) ).
tff(c_9290,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_268]) ).
tff(c_9291,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_202,c_9203,c_9056,c_9290]) ).
tff(c_9295,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9291,c_164]) ).
tff(c_9204,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9198,c_124]) ).
tff(c_9197,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_9211,plain,
( ( op(e2,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_9204,c_9197]) ).
tff(c_9212,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_9211]) ).
tff(c_9328,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_9212,c_9068,c_84]) ).
tff(c_9329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_9295,c_194,c_9328]) ).
tff(c_9330,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_9211]) ).
tff(c_9337,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9330,c_120]) ).
tff(c_9506,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_382,c_332]) ).
tff(c_9507,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_9337,c_204,c_204,c_9506]) ).
tff(c_9554,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_9507,c_86]) ).
tff(c_9555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_9337,c_194,c_9554]) ).
tff(c_9556,plain,
( ( op(e1,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_9558,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_9556]) ).
tff(c_9565,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_104]) ).
tff(c_10298,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_10299,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_9565,c_10298]) ).
tff(c_10304,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_10299,c_120]) ).
tff(c_9562,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_148]) ).
tff(c_9892,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_393,c_72]) ).
tff(c_9893,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_9562,c_9892]) ).
tff(c_9894,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_9893]) ).
tff(c_9898,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9894,c_126]) ).
tff(c_226,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e3,e2) != e3 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_9605,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e3,e2) != e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_226]) ).
tff(c_9606,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e3,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_9605]) ).
tff(c_9607,plain,
op(e3,e2) != e3,
inference(splitLeft,[status(thm)],[c_9606]) ).
tff(c_312,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e1) != e0 )
| ( op(e2,e0) = e2 )
| ( op(e0,e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_9571,plain,
( ( e1 = e0 )
| ( op(e0,e1) != e0 )
| ( op(e2,e0) = e2 )
| ( op(e0,e3) != e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_312]) ).
tff(c_9572,plain,
( ( op(e0,e1) != e0 )
| ( op(e2,e0) = e2 )
| ( op(e0,e3) != e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_9571]) ).
tff(c_9573,plain,
op(e0,e3) != e0,
inference(splitLeft,[status(thm)],[c_9572]) ).
tff(c_9591,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_46]) ).
tff(c_9592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9573,c_399,c_9055,c_202,c_9591]) ).
tff(c_9594,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_9572]) ).
tff(c_9599,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_9594,c_136]) ).
tff(c_276,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_9626,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_9599,c_276]) ).
tff(c_9627,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_9626]) ).
tff(c_9566,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_146]) ).
tff(c_9630,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_9055,c_9566,c_10]) ).
tff(c_9631,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_9630]) ).
tff(c_9611,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_36]) ).
tff(c_9612,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_9607,c_194,c_9611]) ).
tff(c_9613,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_9612]) ).
tff(c_9656,plain,
( ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_9631,c_9613,c_234]) ).
tff(c_9657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_9627,c_9656]) ).
tff(c_9658,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_9630]) ).
tff(c_9663,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9658,c_150]) ).
tff(c_9713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_9627,c_9562,c_9663,c_18]) ).
tff(c_9715,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_9626]) ).
tff(c_9719,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9715,c_122]) ).
tff(c_9736,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_268]) ).
tff(c_9737,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9607,c_202,c_9719,c_9056,c_9736]) ).
tff(c_9738,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_9612]) ).
tff(c_9744,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9738,c_176]) ).
tff(c_9564,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9558,c_98]) ).
tff(c_9771,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_268]) ).
tff(c_9772,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_9607,c_202,c_9056,c_9771]) ).
tff(c_9823,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9772,c_9054,c_54]) ).
tff(c_9824,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_9564,c_9823]) ).
tff(c_9835,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_9824,c_9594,c_84]) ).
tff(c_9836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_9744,c_194,c_200,c_9835]) ).
tff(c_9838,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_9606]) ).
tff(c_9919,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_9838,c_54]) ).
tff(c_9920,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_9898,c_202,c_194,c_9919]) ).
tff(c_9932,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_9920,c_9594,c_84]) ).
tff(c_9933,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_9932]) ).
tff(c_9937,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9933,c_178]) ).
tff(c_9960,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_86]) ).
tff(c_9961,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_9565,c_9960]) ).
tff(c_9871,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_9055,c_9566,c_10]) ).
tff(c_9872,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_9871]) ).
tff(c_9990,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9961,c_9054,c_9872,c_52]) ).
tff(c_9991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_9937,c_200,c_196,c_9990]) ).
tff(c_9992,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_9893]) ).
tff(c_9996,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9992,c_168]) ).
tff(c_9841,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9838,c_164]) ).
tff(c_10003,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9599,c_387,c_30]) ).
tff(c_10004,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_10003]) ).
tff(c_10031,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_10004,c_9594,c_84]) ).
tff(c_10032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_9841,c_200,c_10031]) ).
tff(c_10033,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_10003]) ).
tff(c_10108,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_10033,c_9594,c_88]) ).
tff(c_10109,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_9996,c_202,c_10108]) ).
tff(c_10110,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_9871]) ).
tff(c_10114,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10110,c_150]) ).
tff(c_10270,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_399,c_9562,c_10114,c_18]) ).
tff(c_10274,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_10270,c_124]) ).
tff(c_10226,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9599,c_387,c_30]) ).
tff(c_10227,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_10226]) ).
tff(c_10254,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_10227,c_9594,c_84]) ).
tff(c_10255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_9841,c_200,c_10254]) ).
tff(c_10256,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_10226]) ).
tff(c_10310,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10270,c_10256,c_284]) ).
tff(c_10311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10304,c_10274,c_200,c_10310]) ).
tff(c_10313,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_9556]) ).
tff(c_11217,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_11163,c_10313,c_381,c_2]) ).
tff(c_11221,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11217,c_152]) ).
tff(c_9557,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_10322,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_10316,c_134]) ).
tff(c_11295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11221,c_388,c_9557,c_10322,c_26]) ).
tff(c_11296,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_11155]) ).
tff(c_11304,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11296,c_102]) ).
tff(c_11319,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_10316,c_268]) ).
tff(c_11320,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_10319,c_202,c_200,c_11319]) ).
tff(c_11335,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10316,c_11320,c_9054,c_54]) ).
tff(c_11336,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_11304,c_11335]) ).
tff(c_11337,plain,
( ( op(e1,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_10315]) ).
tff(c_11352,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_11337]) ).
tff(c_11358,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11352,c_106]) ).
tff(c_11411,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_393,c_82]) ).
tff(c_11412,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_11358,c_11411]) ).
tff(c_11421,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11412,c_393,c_382,c_332]) ).
tff(c_11422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11358,c_194,c_204,c_204,c_11421]) ).
tff(c_11424,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_11337]) ).
tff(c_11423,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_11337]) ).
tff(c_11474,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9054,c_11423,c_268]) ).
tff(c_11475,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11424,c_202,c_196,c_9056,c_11474]) ).
tff(c_11476,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_11489,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_11476]) ).
tff(c_11491,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_156]) ).
tff(c_11481,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_186]) ).
tff(c_11494,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_124]) ).
tff(c_11505,plain,
( ( op(e3,e0) != e3 )
| ( e1 = e0 )
| ( op(e3,e2) != e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_226]) ).
tff(c_11506,plain,
( ( op(e3,e0) != e3 )
| ( op(e3,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_204,c_11505]) ).
tff(c_11507,plain,
op(e3,e2) != e3,
inference(splitLeft,[status(thm)],[c_11506]) ).
tff(c_12094,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_236]) ).
tff(c_12095,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_204,c_11491,c_12094]) ).
tff(c_12099,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12095,c_110]) ).
tff(c_11493,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_122]) ).
tff(c_11508,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_11493,c_20]) ).
tff(c_11509,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_11508]) ).
tff(c_11514,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_11509,c_126]) ).
tff(c_11483,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_118]) ).
tff(c_11571,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_11478,c_86]) ).
tff(c_11572,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_11571]) ).
tff(c_11573,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_11572]) ).
tff(c_11685,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11573,c_11509,c_11489,c_68]) ).
tff(c_11686,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_11685]) ).
tff(c_11576,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11573,c_184]) ).
tff(c_11490,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_148]) ).
tff(c_11520,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11489,c_236]) ).
tff(c_11521,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_204,c_11491,c_11520]) ).
tff(c_11524,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11521,c_146]) ).
tff(c_11533,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_11490,c_11524,c_381,c_2]) ).
tff(c_11584,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11533,c_40]) ).
tff(c_11585,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11576,c_198,c_11584]) ).
tff(c_11586,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_11585]) ).
tff(c_378,plain,
( ( op(e0,e0) != e1 )
| ( op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) != e2 )
| ( op(op(e0,e0),op(e0,e0)) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_784]) ).
tff(c_11866,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11686,c_382,c_382,c_11586,c_11686,c_382,c_382,c_382,c_382,c_378]) ).
tff(c_11867,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_11585]) ).
tff(c_11885,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11509,c_11867,c_62]) ).
tff(c_11886,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_11483,c_202,c_11885]) ).
tff(c_11890,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11886,c_138]) ).
tff(c_11899,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11509,c_292]) ).
tff(c_11900,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_11514,c_11890,c_11899]) ).
tff(c_11904,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11900,c_172]) ).
tff(c_11912,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11573,c_11509,c_11489,c_68]) ).
tff(c_11913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_11904,c_196,c_200,c_11912]) ).
tff(c_11914,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_11572]) ).
tff(c_11916,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_387,c_30]) ).
tff(c_11917,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_11916]) ).
tff(c_11991,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11914,c_11478,c_11917,c_382,c_328]) ).
tff(c_11992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_204,c_11991]) ).
tff(c_11993,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_11916]) ).
tff(c_12006,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_11993]) ).
tff(c_12009,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12006,c_176]) ).
tff(c_12023,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11914,c_11533,c_36]) ).
tff(c_12024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_12009,c_11507,c_196,c_12023]) ).
tff(c_12025,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_11993]) ).
tff(c_12030,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12025,c_180]) ).
tff(c_12044,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11914,c_11533,c_36]) ).
tff(c_12045,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_11507,c_196,c_12044]) ).
tff(c_12048,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12045,c_172]) ).
tff(c_12090,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11494,c_11514,c_12030,c_12048,c_22]) ).
tff(c_12091,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_11508]) ).
tff(c_12093,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_12091]) ).
tff(c_12132,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12093,c_268]) ).
tff(c_12133,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_11507,c_12099,c_196,c_12132]) ).
tff(c_12138,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_138]) ).
tff(c_12136,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_164]) ).
tff(c_12098,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12095,c_146]) ).
tff(c_12116,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_11490,c_12098,c_381,c_2]) ).
tff(c_12122,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_98]) ).
tff(c_12149,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_12133,c_84]) ).
tff(c_12150,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_12149]) ).
tff(c_12151,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_12150]) ).
tff(c_12155,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12151,c_176]) ).
tff(c_12100,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12095,c_112]) ).
tff(c_12166,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12116,c_40]) ).
tff(c_12167,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_12166]) ).
tff(c_12168,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_12167]) ).
tff(c_12173,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12168,c_106]) ).
tff(c_12185,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12133,c_12093,c_54]) ).
tff(c_12186,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_12099,c_12173,c_12185]) ).
tff(c_12187,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_12167]) ).
tff(c_12189,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_12187]) ).
tff(c_12196,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12189,c_102]) ).
tff(c_12240,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12151,c_70]) ).
tff(c_12241,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_12100,c_12196,c_12240]) ).
tff(c_12251,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12241,c_12151,c_300]) ).
tff(c_12252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12155,c_12100,c_198,c_200,c_12251]) ).
tff(c_12254,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_12187]) ).
tff(c_12305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12136,c_12122,c_12254,c_11507,c_4]) ).
tff(c_12307,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_12150]) ).
tff(c_12318,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_12138,c_387,c_12307,c_30]) ).
tff(c_12108,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12093,c_162]) ).
tff(c_11484,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11478,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_12383,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_11484,c_12100,c_14]) ).
tff(c_12384,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_12383]) ).
tff(c_12426,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_12384,c_12095,c_52]) ).
tff(c_12427,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_12108,c_194,c_12426]) ).
tff(c_12428,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_12383]) ).
tff(c_12472,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12318,c_12428,c_78]) ).
tff(c_12473,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_11494,c_200,c_12472]) ).
tff(c_12111,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12093,c_130]) ).
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_12453,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_12111,c_24]) ).
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_12502,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12453,c_12093,c_11489,c_76]) ).
tff(c_12503,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_12502]) ).
tff(c_296,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) != e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_12576,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12473,c_12428,c_12503,c_12318,c_296]) ).
tff(c_12577,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_202,c_12576]) ).
tff(c_12578,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_12091]) ).
tff(c_12586,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12578,c_130]) ).
tff(c_12762,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_12586,c_24]) ).
tff(c_12766,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12762,c_184]) ).
tff(c_12783,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_12762,c_382,c_332]) ).
tff(c_12784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12766,c_202,c_196,c_204,c_12783]) ).
tff(c_12786,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_11506]) ).
tff(c_228,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e2) != e3 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_12915,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12786,c_11489,c_228]) ).
tff(c_12916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_204,c_11491,c_12915]) ).
tff(c_12918,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_11476]) ).
tff(c_11482,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_116]) ).
tff(c_14965,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_60]) ).
tff(c_14966,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_14965]) ).
tff(c_14967,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_14966]) ).
tff(c_14971,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14967,c_112]) ).
tff(c_16437,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_382,c_332]) ).
tff(c_16438,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_202,c_385,c_204,c_16437]) ).
tff(c_16442,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16438,c_108]) ).
tff(c_12917,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_11476]) ).
tff(c_14954,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_12917]) ).
tff(c_14955,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_180]) ).
tff(c_16451,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_292]) ).
tff(c_16452,plain,
op(e1,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_16442,c_204,c_14955,c_16451]) ).
tff(c_16441,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16438,c_184]) ).
tff(c_12919,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_12921,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12919,c_164]) ).
tff(c_12922,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12919,c_166]) ).
tff(c_12942,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_11484,c_14]) ).
tff(c_12943,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_12942]) ).
tff(c_12957,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_24]) ).
tff(c_12958,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_12957]) ).
tff(c_12988,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_12958,c_11478,c_82]) ).
tff(c_12989,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_12988]) ).
tff(c_12993,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12989,c_108]) ).
tff(c_12930,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_12917]) ).
tff(c_12963,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12958,c_128]) ).
tff(c_244,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_13002,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e3) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12919,c_244]) ).
tff(c_13003,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_13002]) ).
tff(c_13004,plain,
op(e2,e3) != e2,
inference(splitLeft,[status(thm)],[c_13003]) ).
tff(c_12974,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_12918,c_11482,c_46]) ).
tff(c_12975,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_12974]) ).
tff(c_13022,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12975,c_38]) ).
tff(c_13023,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_12963,c_13004,c_13022]) ).
tff(c_13027,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13023,c_100]) ).
tff(c_13063,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12930,c_12943,c_70]) ).
tff(c_13064,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_13027,c_13063]) ).
tff(c_13073,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12943,c_12930,c_13064,c_300]) ).
tff(c_13074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12993,c_198,c_204,c_202,c_13073]) ).
tff(c_13076,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_13003]) ).
tff(c_13152,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_12943,c_13076,c_52]) ).
tff(c_13153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_12922,c_194,c_13152]) ).
tff(c_13154,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_12974]) ).
tff(c_13167,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13154,c_234]) ).
tff(c_13168,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_13167]) ).
tff(c_13169,plain,
op(e3,e0) != e3,
inference(splitLeft,[status(thm)],[c_13168]) ).
tff(c_13187,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_12958,c_382,c_332]) ).
tff(c_13188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13169,c_202,c_198,c_204,c_13187]) ).
tff(c_13190,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_13168]) ).
tff(c_13194,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13190,c_108]) ).
tff(c_12931,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12930,c_180]) ).
tff(c_13213,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13190,c_13154,c_40]) ).
tff(c_13214,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_13213]) ).
tff(c_13215,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_13214]) ).
tff(c_13219,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13215,c_176]) ).
tff(c_12924,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12919,c_138]) ).
tff(c_13230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12931,c_387,c_13219,c_12924,c_30]) ).
tff(c_13232,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_13214]) ).
tff(c_13282,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12930,c_12943,c_70]) ).
tff(c_13283,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_13232,c_13282]) ).
tff(c_13293,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12943,c_12930,c_13283,c_300]) ).
tff(c_13294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13194,c_198,c_204,c_202,c_13293]) ).
tff(c_13295,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_12957]) ).
tff(c_13299,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13295,c_184]) ).
tff(c_13679,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_13295,c_382,c_332]) ).
tff(c_13680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13299,c_202,c_196,c_204,c_13679]) ).
tff(c_13681,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_12942]) ).
tff(c_13683,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_13681]) ).
tff(c_13686,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13683,c_170]) ).
tff(c_12934,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12930,c_126]) ).
tff(c_12923,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12919,c_168]) ).
tff(c_13701,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12930,c_68]) ).
tff(c_13702,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_12923,c_13701]) ).
tff(c_13703,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_13702]) ).
tff(c_13706,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13703,c_184]) ).
tff(c_13834,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_13703,c_382,c_332]) ).
tff(c_13835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13706,c_202,c_196,c_204,c_13834]) ).
tff(c_13837,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_13702]) ).
tff(c_14521,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_11478,c_82]) ).
tff(c_14522,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_13837,c_200,c_14521]) ).
tff(c_14539,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_11478,c_14522,c_86]) ).
tff(c_14540,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_14539]) ).
tff(c_14544,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14540,c_130]) ).
tff(c_14556,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_12934,c_14544,c_12923,c_20]) ).
tff(c_14571,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14556,c_12930,c_292]) ).
tff(c_14572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13686,c_204,c_12931,c_14571]) ).
tff(c_14573,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_13681]) ).
tff(c_14580,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14573,c_114]) ).
tff(c_264,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_14745,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14573,c_12919,c_264]) ).
tff(c_14746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12921,c_14580,c_200,c_14745]) ).
tff(c_14747,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_12917]) ).
tff(c_14785,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14747,c_12919,c_268]) ).
tff(c_14786,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_12921,c_204,c_200,c_14785]) ).
tff(c_260,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) != e2 )
| ( op(e3,e2) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_14950,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14786,c_14747,c_12919,c_260]) ).
tff(c_14951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12921,c_204,c_200,c_14950]) ).
tff(c_14952,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_14977,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_14952]) ).
tff(c_14983,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14977,c_106]) ).
tff(c_160,plain,
op(e3,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_14980,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14977,c_160]) ).
tff(c_14988,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_24]) ).
tff(c_14989,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_14988]) ).
tff(c_14979,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14977,c_158]) ).
tff(c_14981,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14977,c_102]) ).
tff(c_15006,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_14967,c_66]) ).
tff(c_15007,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_14981,c_15006]) ).
tff(c_15047,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_15007,c_292]) ).
tff(c_15048,plain,
op(e1,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_14981,c_204,c_200,c_15047]) ).
tff(c_15021,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_12918,c_11482,c_46]) ).
tff(c_15022,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_15021]) ).
tff(c_15028,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_15022,c_134]) ).
tff(c_15049,plain,
( ( op(e2,e2) != e2 )
| ( op(e2,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15048,c_15028,c_244]) ).
tff(c_15050,plain,
op(e2,e3) != e2,
inference(splitLeft,[status(thm)],[c_15049]) ).
tff(c_15026,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_15022,c_152]) ).
tff(c_15034,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_15026,c_381,c_2]) ).
tff(c_15035,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_15034]) ).
tff(c_15038,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_15035,c_148]) ).
tff(c_14994,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14989,c_128]) ).
tff(c_15075,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_12918,c_15038,c_14994,c_18]) ).
tff(c_15085,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15022,c_15075,c_15035,c_38]) ).
tff(c_15086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_15050,c_198,c_15085]) ).
tff(c_15088,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_15049]) ).
tff(c_15156,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_14967,c_15088,c_52]) ).
tff(c_15157,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_14979,c_194,c_15156]) ).
tff(c_15158,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_15034]) ).
tff(c_15163,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15158,c_100]) ).
tff(c_15261,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15007,c_14954,c_14967,c_70]) ).
tff(c_15262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_15163,c_15261]) ).
tff(c_15264,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_15021]) ).
tff(c_15263,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_15021]) ).
tff(c_15277,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15263,c_14977,c_228]) ).
tff(c_15278,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_15264,c_15277]) ).
tff(c_15334,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14989,c_14954,c_15278,c_68]) ).
tff(c_15335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_14980,c_196,c_15334]) ).
tff(c_15336,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_14988]) ).
tff(c_15465,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_15336,c_382,c_332]) ).
tff(c_15466,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14983,c_202,c_196,c_204,c_15465]) ).
tff(c_15468,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_14952]) ).
tff(c_15467,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_14952]) ).
tff(c_15469,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_15467]) ).
tff(c_15846,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15469,c_268]) ).
tff(c_15847,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15468,c_196,c_15846]) ).
tff(c_15848,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_15847]) ).
tff(c_15864,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15848,c_166]) ).
tff(c_14953,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_15883,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_386,c_15864,c_14953,c_28]) ).
tff(c_15889,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_15883,c_134]) ).
tff(c_15472,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15469,c_162]) ).
tff(c_15507,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15469,c_268]) ).
tff(c_15508,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15468,c_196,c_15507]) ).
tff(c_15509,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_15508]) ).
tff(c_15514,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15509,c_158]) ).
tff(c_15492,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_15493,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_15492]) ).
tff(c_15520,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15493,c_234]) ).
tff(c_15521,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_15520]) ).
tff(c_15522,plain,
op(e3,e0) != e3,
inference(splitLeft,[status(thm)],[c_15521]) ).
tff(c_15475,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15469,c_130]) ).
tff(c_15482,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_15475,c_24]) ).
tff(c_15523,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_15482,c_382,c_332]) ).
tff(c_15524,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15522,c_202,c_198,c_204,c_15523]) ).
tff(c_15526,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_15521]) ).
tff(c_15536,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15526,c_15493,c_40]) ).
tff(c_15537,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_15514,c_202,c_15536]) ).
tff(c_15540,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15537,c_176]) ).
tff(c_15563,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_14955,c_387,c_15540,c_30]) ).
tff(c_15651,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15537,c_14967,c_14954,c_15563,c_300]) ).
tff(c_15652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_204,c_200,c_15651]) ).
tff(c_15654,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_15508]) ).
tff(c_15486,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15482,c_184]) ).
tff(c_15680,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15493,c_40]) ).
tff(c_15681,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15486,c_202,c_15680]) ).
tff(c_15682,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_15681]) ).
tff(c_15686,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15682,c_102]) ).
tff(c_15653,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_15508]) ).
tff(c_15710,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15653,c_15469,c_54]) ).
tff(c_15711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_15654,c_15686,c_15710]) ).
tff(c_15713,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_15681]) ).
tff(c_15495,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_15493,c_152]) ).
tff(c_15725,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_15495,c_388,c_26]) ).
tff(c_15726,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_15725]) ).
tff(c_15761,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_15653,c_15726,c_84]) ).
tff(c_15762,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_15761]) ).
tff(c_15781,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15762,c_14954,c_14967,c_70]) ).
tff(c_15782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_15713,c_15781]) ).
tff(c_15783,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_15725]) ).
tff(c_15787,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15783,c_154]) ).
tff(c_15841,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_14967,c_52]) ).
tff(c_15842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_15472,c_15787,c_15841]) ).
tff(c_15843,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_15492]) ).
tff(c_15845,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_15843]) ).
tff(c_15851,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15845,c_152]) ).
tff(c_15916,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_15889,c_388,c_15851,c_26]) ).
tff(c_15953,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15482,c_14954,c_15469,c_76]) ).
tff(c_15954,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_15953]) ).
tff(c_15968,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15916,c_15954,c_15845,c_46]) ).
tff(c_15969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_11482,c_202,c_15968]) ).
tff(c_15971,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_15847]) ).
tff(c_15977,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15845,c_98]) ).
tff(c_15970,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_15847]) ).
tff(c_16022,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15970,c_15469,c_54]) ).
tff(c_16023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_15971,c_15977,c_16022]) ).
tff(c_16024,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_15843]) ).
tff(c_16029,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_16024,c_148]) ).
tff(c_15487,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15482,c_128]) ).
tff(c_15474,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15469,c_122]) ).
tff(c_16168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12918,c_16029,c_15487,c_15474,c_18]) ).
tff(c_16170,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_15467]) ).
tff(c_16171,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_26]) ).
tff(c_16172,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_16171]) ).
tff(c_16178,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16172,c_134]) ).
tff(c_16169,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_15467]) ).
tff(c_16193,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16169,c_268]) ).
tff(c_16194,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_15468,c_194,c_16178,c_16193]) ).
tff(c_16278,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16194,c_16169,c_62]) ).
tff(c_16279,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_16178,c_204,c_200,c_16278]) ).
tff(c_16290,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16279,c_40]) ).
tff(c_16291,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_16290]) ).
tff(c_16292,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_16291]) ).
tff(c_16211,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_24]) ).
tff(c_16212,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_16211]) ).
tff(c_16221,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_16212,c_382,c_332]) ).
tff(c_16222,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_204,c_16221]) ).
tff(c_16226,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16222,c_108]) ).
tff(c_16257,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16194,c_14954,c_292]) ).
tff(c_16258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16226,c_204,c_14955,c_16257]) ).
tff(c_16259,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_16211]) ).
tff(c_16356,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16292,c_11478,c_16259,c_382,c_332]) ).
tff(c_16357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_204,c_16356]) ).
tff(c_16359,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_16291]) ).
tff(c_16393,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_16259,c_11478,c_86]) ).
tff(c_16394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_16359,c_16393]) ).
tff(c_16395,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_16171]) ).
tff(c_16409,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_16395]) ).
tff(c_16414,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16409,c_156]) ).
tff(c_16577,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_12918,c_16414,c_18]) ).
tff(c_16578,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_16577]) ).
tff(c_16621,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_16578,c_68]) ).
tff(c_16622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16441,c_200,c_16170,c_196,c_16621]) ).
tff(c_16623,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_16577]) ).
tff(c_16672,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_16623,c_76]) ).
tff(c_16673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385,c_204,c_16452,c_198,c_16672]) ).
tff(c_16674,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_16395]) ).
tff(c_16678,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16674,c_154]) ).
tff(c_16404,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16169,c_110]) ).
tff(c_17097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11482,c_14971,c_16678,c_16404,c_10]) ).
tff(c_17098,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_14966]) ).
tff(c_17100,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_17098]) ).
tff(c_17104,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17100,c_150]) ).
tff(c_17099,plain,
op(e2,e1) != e1,
inference(splitRight,[status(thm)],[c_14966]) ).
tff(c_17910,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_17915,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17910,c_106]) ).
tff(c_17479,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_14952]) ).
tff(c_17485,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17479,c_106]) ).
tff(c_17500,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_24]) ).
tff(c_17501,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_17500]) ).
tff(c_17513,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_17501,c_382,c_332]) ).
tff(c_17514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17485,c_202,c_198,c_204,c_17513]) ).
tff(c_17515,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_17500]) ).
tff(c_17527,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_17515,c_382,c_332]) ).
tff(c_17528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17485,c_202,c_196,c_204,c_17527]) ).
tff(c_17530,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_14952]) ).
tff(c_17531,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_17530,c_268]) ).
tff(c_17532,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_17531]) ).
tff(c_17529,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_14952]) ).
tff(c_17543,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17532,c_17529]) ).
tff(c_17544,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_17543]) ).
tff(c_17550,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17544,c_130]) ).
tff(c_17658,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_17550,c_24]) ).
tff(c_17662,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17658,c_128]) ).
tff(c_14958,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_126]) ).
tff(c_17111,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_26]) ).
tff(c_17112,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_17111]) ).
tff(c_17117,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17112,c_134]) ).
tff(c_17148,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_17117,c_386,c_14953,c_28]) ).
tff(c_17122,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_14952]) ).
tff(c_17244,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17148,c_17122,c_62]) ).
tff(c_17245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_14958,c_11483,c_200,c_17244]) ).
tff(c_17247,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_14952]) ).
tff(c_17114,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_17112,c_152]) ).
tff(c_17103,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17100,c_146]) ).
tff(c_17417,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_17114,c_17103,c_381,c_2]) ).
tff(c_17423,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17417,c_104]) ).
tff(c_17428,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_11480,c_383,c_17423,c_8]) ).
tff(c_17433,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17428,c_108]) ).
tff(c_17458,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_292]) ).
tff(c_17459,plain,
op(e1,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_17433,c_204,c_14955,c_17458]) ).
tff(c_17285,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_17117,c_386,c_14953,c_28]) ).
tff(c_17290,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17285,c_166]) ).
tff(c_17246,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_14952]) ).
tff(c_17248,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_17246]) ).
tff(c_17295,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17248,c_17285,c_268]) ).
tff(c_17296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17247,c_17290,c_196,c_202,c_17295]) ).
tff(c_17297,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_17246]) ).
tff(c_17464,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17297,c_268]) ).
tff(c_17465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17247,c_194,c_17459,c_17117,c_17464]) ).
tff(c_17466,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_17111]) ).
tff(c_17468,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_17466]) ).
tff(c_17472,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17468,c_156]) ).
tff(c_17710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12918,c_17104,c_17662,c_17472,c_18]) ).
tff(c_17711,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_17531]) ).
tff(c_17900,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_17711]) ).
tff(c_17713,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_17529]) ).
tff(c_17719,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17713,c_130]) ).
tff(c_17748,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_17719,c_24]) ).
tff(c_17885,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17748,c_14954,c_17713,c_76]) ).
tff(c_17886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_17104,c_17885]) ).
tff(c_17887,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_17529]) ).
tff(c_17921,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17900,c_17887,c_54]) ).
tff(c_17922,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_17915,c_17921]) ).
tff(c_17926,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17922,c_122]) ).
tff(c_17936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12918,c_17104,c_17926,c_17472,c_18]) ).
tff(c_17938,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_17888,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_17529]) ).
tff(c_17964,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_68]) ).
tff(c_17965,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_17888,c_17472,c_17964]) ).
tff(c_18061,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_17965,c_11478,c_86]) ).
tff(c_18062,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_17938,c_18061]) ).
tff(c_18063,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_17711]) ).
tff(c_18133,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18063,c_14954,c_292]) ).
tff(c_18134,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_204,c_14955,c_18133]) ).
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_18154,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_18134,c_74]) ).
tff(c_18155,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_387,c_204,c_17099,c_196,c_18154]) ).
tff(c_18156,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_17466]) ).
tff(c_18161,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18156,c_156]) ).
tff(c_18466,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11478,c_382,c_332]) ).
tff(c_18467,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_202,c_385,c_204,c_18466]) ).
tff(c_18160,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18156,c_152]) ).
tff(c_18215,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_18160,c_40]) ).
tff(c_18216,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_18215]) ).
tff(c_18219,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18216,c_184]) ).
tff(c_18249,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_12918,c_17104,c_18161,c_18]) ).
tff(c_18255,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18249,c_128]) ).
tff(c_18260,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_18219,c_18255,c_24]) ).
tff(c_18262,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_18215]) ).
tff(c_18295,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_11480,c_383,c_18262,c_8]) ).
tff(c_18261,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_18215]) ).
tff(c_18263,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_18261]) ).
tff(c_18404,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_17103,c_18160,c_381,c_2]) ).
tff(c_18438,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18295,c_18263,c_18404,c_44]) ).
tff(c_18439,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_18438]) ).
tff(c_18266,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18263,c_160]) ).
tff(c_18169,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_268]) ).
tff(c_18184,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18169,c_18156,c_228]) ).
tff(c_18185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_17104,c_202,c_18184]) ).
tff(c_18187,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_268]) ).
tff(c_18190,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_18187,c_14952]) ).
tff(c_18191,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_18190]) ).
tff(c_18196,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18191,c_162]) ).
tff(c_18391,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_14958,c_18266,c_18196,c_20]) ).
tff(c_18197,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18191,c_114]) ).
tff(c_18283,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14954,c_66]) ).
tff(c_18284,plain,
( ( op(e3,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_18197,c_18283]) ).
tff(c_18285,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_18284]) ).
tff(c_18452,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18439,c_18391,c_14954,c_18285,c_292]) ).
tff(c_18453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_200,c_18452]) ).
tff(c_18454,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_18284]) ).
tff(c_18461,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18454,c_108]) ).
tff(c_18478,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_18467,c_18461]) ).
tff(c_18480,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_18261]) ).
tff(c_18186,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_268]) ).
tff(c_18202,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18191,c_18186]) ).
tff(c_18203,plain,
( ( op(e1,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_18202]) ).
tff(c_18204,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_18203]) ).
tff(c_18498,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18204,c_18191,c_54]) ).
tff(c_18499,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_18480,c_18498]) ).
tff(c_18504,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18499,c_130]) ).
tff(c_18521,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_18504,c_24]) ).
tff(c_18526,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18521,c_128]) ).
tff(c_18531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12918,c_17104,c_18161,c_18526,c_18]) ).
tff(c_18533,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_18203]) ).
tff(c_18607,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_17103,c_18160,c_381,c_2]) ).
tff(c_18612,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_18607,c_98]) ).
tff(c_18532,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_18203]) ).
tff(c_18643,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18532,c_18191,c_62]) ).
tff(c_18644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18533,c_204,c_200,c_18612,c_18643]) ).
tff(c_18645,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_18190]) ).
tff(c_18651,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18645,c_122]) ).
tff(c_18691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12918,c_17104,c_18161,c_18651,c_18]) ).
tff(c_18692,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_17098]) ).
tff(c_18704,plain,
( ( op(e1,e2) = e3 )
| ( e3 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18692,c_14952]) ).
tff(c_18705,plain,
( ( op(e1,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_18704]) ).
tff(c_18706,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_18705]) ).
tff(c_18712,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18706,c_106]) ).
tff(c_19261,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_11480,c_383,c_18712,c_8]) ).
tff(c_19433,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19261,c_11478,c_382,c_332]) ).
tff(c_19434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_385,c_204,c_19433]) ).
tff(c_19436,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_18705]) ).
tff(c_19435,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_18705]) ).
tff(c_19449,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18692,c_19435,c_268]) ).
tff(c_19450,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_19436,c_198,c_196,c_19449]) ).
tff(c_19455,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19450,c_134]) ).
tff(c_19473,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_19455,c_12918,c_11482,c_46]) ).
tff(c_19444,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19435,c_130]) ).
tff(c_19748,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_11481,c_385,c_19444,c_24]) ).
tff(c_352,plain,
( ( op(e3,e3) != e0 )
| ( op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) != e2 )
| ( op(op(e3,e3),op(e3,e3)) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_706]) ).
tff(c_19954,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_19473,c_19473,c_19748,c_382,c_19473,c_19473,c_19473,c_19473,c_352]) ).
tff(c_19955,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_12917]) ).
tff(c_19969,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19955,c_14952]) ).
tff(c_19970,plain,
( ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_19969]) ).
tff(c_19971,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_19970]) ).
tff(c_19997,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_19998,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_19997]) ).
tff(c_20034,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19971,c_19998,c_40]) ).
tff(c_20035,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_20034]) ).
tff(c_20036,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_20035]) ).
tff(c_20204,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20036,c_11478,c_382,c_332]) ).
tff(c_20205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_385,c_204,c_20204]) ).
tff(c_20207,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_20035]) ).
tff(c_19977,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19971,c_106]) ).
tff(c_20262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11480,c_383,c_20207,c_19977,c_8]) ).
tff(c_20264,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_19970]) ).
tff(c_19957,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19955,c_168]) ).
tff(c_20263,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_19970]) ).
tff(c_20354,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20263,c_19955,c_268]) ).
tff(c_20355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20264,c_194,c_204,c_19957,c_20354]) ).
tff(c_20357,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_20356,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_20358,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_20356]) ).
tff(c_20359,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_154]) ).
tff(c_20361,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_150]) ).
tff(c_20369,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_20361,c_11476]) ).
tff(c_20370,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20369]) ).
tff(c_21350,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_160]) ).
tff(c_20371,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_20385,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20371,c_186]) ).
tff(c_20360,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_146]) ).
tff(c_20630,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_20360,c_381,c_2]) ).
tff(c_20631,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_20630]) ).
tff(c_20635,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20631,c_148]) ).
tff(c_20406,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_50]) ).
tff(c_20407,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_20406]) ).
tff(c_20408,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_20407]) ).
tff(c_20411,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20408,c_164]) ).
tff(c_20433,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_20408,c_268]) ).
tff(c_20434,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_20411,c_204,c_200,c_20433]) ).
tff(c_20615,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20434,c_20370,c_20408,c_260]) ).
tff(c_20616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20411,c_204,c_200,c_20615]) ).
tff(c_20617,plain,
( ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20407]) ).
tff(c_20619,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_20617]) ).
tff(c_20678,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20631,c_20619,c_228]) ).
tff(c_20679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_20635,c_20359,c_20678]) ).
tff(c_20680,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_20630]) ).
tff(c_20698,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20680,c_100]) ).
tff(c_20623,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20619,c_102]) ).
tff(c_20363,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_112]) ).
tff(c_20392,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_20363,c_14]) ).
tff(c_20393,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_20392]) ).
tff(c_174,plain,
op(e2,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_20397,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20393,c_174]) ).
tff(c_20721,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20393,c_300]) ).
tff(c_20722,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_20623,c_198,c_20397,c_20721]) ).
tff(c_20376,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_126]) ).
tff(c_20386,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20371,c_132]) ).
tff(c_20737,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_20376,c_20397,c_20386,c_22]) ).
tff(c_20750,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20722,c_20737,c_20393,c_70]) ).
tff(c_20751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_20698,c_20750]) ).
tff(c_20752,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_20617]) ).
tff(c_20758,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20752,c_118]) ).
tff(c_20844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20357,c_384,c_20385,c_20758,c_16]) ).
tff(c_20845,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_20392]) ).
tff(c_20847,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_20845]) ).
tff(c_20854,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20847,c_120]) ).
tff(c_21019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20357,c_384,c_20385,c_20854,c_16]) ).
tff(c_21020,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_20845]) ).
tff(c_21028,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21020,c_114]) ).
tff(c_20372,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_168]) ).
tff(c_21034,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_268]) ).
tff(c_21035,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_21028,c_204,c_20372,c_21034]) ).
tff(c_21041,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21035,c_106]) ).
tff(c_21344,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20371,c_382,c_332]) ).
tff(c_21345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21041,c_20385,c_198,c_204,c_21344]) ).
tff(c_21346,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_22032,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_21346]) ).
tff(c_22033,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_22032]) ).
tff(c_22034,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_22033]) ).
tff(c_22107,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22034,c_20358,c_42]) ).
tff(c_22108,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_388,c_198,c_204,c_22107]) ).
tff(c_22114,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22108,c_98]) ).
tff(c_22064,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_21350,c_20360,c_48]) ).
tff(c_22065,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_22064]) ).
tff(c_22133,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22065,c_22108,c_40]) ).
tff(c_22134,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_22133]) ).
tff(c_22135,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_22134]) ).
tff(c_22139,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22135,c_102]) ).
tff(c_21597,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_20360,c_381,c_2]) ).
tff(c_21598,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_21597]) ).
tff(c_21602,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_21598,c_148]) ).
tff(c_21348,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_168]) ).
tff(c_11477,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_21358,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11477,c_385,c_24]) ).
tff(c_21359,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_21358]) ).
tff(c_21347,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_21371,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21359,c_21347]) ).
tff(c_21372,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_21358]) ).
tff(c_21379,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21372,c_132]) ).
tff(c_21386,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_66]) ).
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_21581,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_21386,c_96]) ).
tff(c_21582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_21348,c_20359,c_21581]) ).
tff(c_21583,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_66]) ).
tff(c_21585,plain,
( ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_21379,c_21583]) ).
tff(c_21586,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_21585]) ).
tff(c_21621,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21586,c_21598,c_40]) ).
tff(c_21622,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_21621]) ).
tff(c_21623,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_21622]) ).
tff(c_21626,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21623,c_182]) ).
tff(c_21352,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_126]) ).
tff(c_21609,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_21346]) ).
tff(c_21610,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_21609]) ).
tff(c_21611,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_21610]) ).
tff(c_21616,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21611,c_124]) ).
tff(c_21648,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_21352,c_21616,c_21379,c_22]) ).
tff(c_21683,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21648,c_21586,c_78]) ).
tff(c_21684,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_20363,c_200,c_21683]) ).
tff(c_21696,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21623,c_21684,c_382,c_328]) ).
tff(c_21697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_21626,c_204,c_21696]) ).
tff(c_21698,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_21622]) ).
tff(c_21378,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21372,c_186]) ).
tff(c_21587,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21586,c_170]) ).
tff(c_21700,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_52]) ).
tff(c_21701,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_21378,c_21587,c_200,c_21700]) ).
tff(c_21758,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21698,c_21701,c_264]) ).
tff(c_21759,plain,
op(e2,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_21348,c_21758]) ).
tff(c_21735,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_21352,c_21616,c_21379,c_22]) ).
tff(c_21760,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21735,c_21586,c_78]) ).
tff(c_21761,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_20363,c_200,c_21760]) ).
tff(c_21783,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21761,c_21735,c_21586,c_70]) ).
tff(c_21784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_21759,c_194,c_21783]) ).
tff(c_21786,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_21610]) ).
tff(c_21380,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21372,c_128]) ).
tff(c_21815,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20361,c_21602,c_21786,c_21380,c_18]) ).
tff(c_21816,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_21597]) ).
tff(c_22001,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21816,c_98]) ).
tff(c_22007,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_52]) ).
tff(c_22008,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_21378,c_21587,c_200,c_22007]) ).
tff(c_21818,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_54]) ).
tff(c_21819,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_21818]) ).
tff(c_21820,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_21819]) ).
tff(c_21826,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21820,c_134]) ).
tff(c_21981,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_20359,c_388,c_21826,c_26]) ).
tff(c_232,plain,
( ( op(e0,e3) = e0 )
| ( op(e3,e1) != e3 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_21992,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21816,c_20358,c_21586,c_21981,c_232]) ).
tff(c_21993,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_200,c_21992]) ).
tff(c_21994,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_21819]) ).
tff(c_22018,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22008,c_21994]) ).
tff(c_22019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22001,c_194,c_22018]) ).
tff(c_22020,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_21585]) ).
tff(c_22026,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22020,c_114]) ).
tff(c_22047,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20370,c_50]) ).
tff(c_22048,plain,
( ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_22026,c_22047]) ).
tff(c_22049,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_22048]) ).
tff(c_22052,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22049,c_164]) ).
tff(c_22144,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21350,c_22114,c_22139,c_22052,c_4]) ).
tff(c_22146,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_22134]) ).
tff(c_22021,plain,
op(e3,e1) != e3,
inference(splitRight,[status(thm)],[c_21585]) ).
tff(c_22078,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) != e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22020,c_296]) ).
tff(c_22079,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_22021,c_194,c_22078]) ).
tff(c_22080,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_22079]) ).
tff(c_22039,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22034,c_124]) ).
tff(c_22086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21352,c_22080,c_22039,c_21379,c_22]) ).
tff(c_22087,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_22079]) ).
tff(c_22088,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_22079]) ).
tff(c_22177,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22087,c_22088,c_22020,c_70]) ).
tff(c_22178,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_22146,c_22177]) ).
tff(c_22179,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_22048]) ).
tff(c_22211,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22179,c_22034,c_228]) ).
tff(c_22212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_20359,c_22211]) ).
tff(c_22213,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_22033]) ).
tff(c_366,plain,
( ( op(e0,e0) != e1 )
| ( op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) != e3 )
| ( op(op(e0,e0),op(e0,e0)) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_22750,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22213,c_382,c_382,c_22020,c_382,c_22213,c_382,c_382,c_382,c_366]) ).
tff(c_22751,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_20369]) ).
tff(c_22753,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22751,c_180]) ).
tff(c_22754,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22751,c_172]) ).
tff(c_22763,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_22754,c_6]) ).
tff(c_22764,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_22763]) ).
tff(c_22768,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22764,c_100]) ).
tff(c_22891,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_20359,c_388,c_26]) ).
tff(c_22892,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_22891]) ).
tff(c_22895,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22892,c_152]) ).
tff(c_23547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20360,c_22768,c_22895,c_381,c_2]) ).
tff(c_23548,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_22891]) ).
tff(c_23555,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23548,c_136]) ).
tff(c_22766,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22764,c_170]) ).
tff(c_22777,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_20363,c_22766,c_14]) ).
tff(c_22778,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_22777]) ).
tff(c_23716,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22751,c_22778,c_22764,c_66]) ).
tff(c_23717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23555,c_200,c_194,c_196,c_23716]) ).
tff(c_23718,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_22777]) ).
tff(c_23798,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22764,c_23718,c_22751,c_300]) ).
tff(c_23799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_22753,c_23798]) ).
tff(c_23800,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_22763]) ).
tff(c_23802,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_23800]) ).
tff(c_24244,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20358,c_23802,c_232]) ).
tff(c_24245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_20359,c_24244]) ).
tff(c_24246,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_23800]) ).
tff(c_24251,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24246,c_170]) ).
tff(c_24252,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24246,c_176]) ).
tff(c_24361,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_22753,c_387,c_24252,c_30]) ).
tff(c_24374,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24246,c_22751,c_24361,c_300]) ).
tff(c_24375,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_24251,c_204,c_200,c_24374]) ).
tff(c_24376,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_20356]) ).
tff(c_24378,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_24376]) ).
tff(c_24874,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_174]) ).
tff(c_24882,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24874,c_11476]) ).
tff(c_24883,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_24882]) ).
tff(c_24885,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24883,c_148]) ).
tff(c_25546,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_24885,c_381,c_2]) ).
tff(c_25547,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_25546]) ).
tff(c_25554,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25547,c_146]) ).
tff(c_250,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_24884,plain,
op(e2,e3) != e2,
inference(splitLeft,[status(thm)],[c_250]) ).
tff(c_25559,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_25560,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_385,c_204,c_25559]) ).
tff(c_25561,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_25560]) ).
tff(c_25574,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25547,c_24883,c_25561,c_234]) ).
tff(c_25575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_24884,c_204,c_25574]) ).
tff(c_25576,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_25560]) ).
tff(c_24886,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24883,c_156]) ).
tff(c_24907,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_24885,c_381,c_2]) ).
tff(c_24908,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_24907]) ).
tff(c_24379,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_24391,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24379,c_164]) ).
tff(c_24381,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_178]) ).
tff(c_24382,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_174]) ).
tff(c_24402,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24382,c_11476]) ).
tff(c_24403,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_24402]) ).
tff(c_24405,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24403,c_156]) ).
tff(c_24536,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_24379,c_96]) ).
tff(c_24537,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_24381,c_200,c_24405,c_24536]) ).
tff(c_24538,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_24402]) ).
tff(c_24809,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24538,c_24379,c_268]) ).
tff(c_24810,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_24391,c_204,c_200,c_24809]) ).
tff(c_24868,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24810,c_24538,c_24379,c_260]) ).
tff(c_24869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24391,c_204,c_200,c_24868]) ).
tff(c_24870,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_24895,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_24870]) ).
tff(c_24989,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24908,c_24895,c_24883,c_228]) ).
tff(c_24990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_24886,c_24989]) ).
tff(c_24991,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_24907]) ).
tff(c_25073,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24991,c_24895,c_24883,c_228]) ).
tff(c_25074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_24886,c_25073]) ).
tff(c_25076,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_24870]) ).
tff(c_24872,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_170]) ).
tff(c_25107,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_24885,c_381,c_2]) ).
tff(c_25108,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_25107]) ).
tff(c_25112,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25108,c_100]) ).
tff(c_24871,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_25090,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_84]) ).
tff(c_25091,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_24871,c_25090]) ).
tff(c_25092,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_25091]) ).
tff(c_25095,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25092,c_176]) ).
tff(c_25153,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_24872,c_25112,c_25095,c_6]) ).
tff(c_25199,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25092,c_24378,c_25153,c_74]) ).
tff(c_25200,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_25199]) ).
tff(c_25251,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25153,c_24378,c_25200,c_25092,c_296]) ).
tff(c_25252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_200,c_25251]) ).
tff(c_25253,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_25107]) ).
tff(c_25270,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25253,c_100]) ).
tff(c_25303,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_24872,c_25270,c_25095,c_6]) ).
tff(c_25307,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25303,c_172]) ).
tff(c_25075,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_24870]) ).
tff(c_25079,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_25075]) ).
tff(c_25084,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25079,c_126]) ).
tff(c_25317,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_24874,c_25307,c_25084,c_22]) ).
tff(c_25321,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25317,c_132]) ).
tff(c_25271,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25253,c_98]) ).
tff(c_25255,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_386,c_24871,c_28]) ).
tff(c_25256,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_25255]) ).
tff(c_25292,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25256,c_25079,c_54]) ).
tff(c_25293,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_25271,c_25292]) ).
tff(c_25298,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25293,c_118]) ).
tff(c_25326,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_20357,c_384,c_25298,c_16]) ).
tff(c_25259,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25256,c_164]) ).
tff(c_25278,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25253,c_48]) ).
tff(c_25279,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_24872,c_25259,c_202,c_25278]) ).
tff(c_25336,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_25326,c_25279,c_86]) ).
tff(c_25337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_25321,c_194,c_202,c_25336]) ).
tff(c_25338,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_25255]) ).
tff(c_25369,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25338,c_166]) ).
tff(c_25377,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25079,c_25338,c_268]) ).
tff(c_25378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25076,c_25369,c_196,c_202,c_25377]) ).
tff(c_25379,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_25091]) ).
tff(c_25530,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24883,c_25379,c_236]) ).
tff(c_25531,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_24884,c_204,c_200,c_25530]) ).
tff(c_25532,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_25075]) ).
tff(c_25693,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25576,c_24378,c_25532,c_60]) ).
tff(c_25694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_25554,c_25693]) ).
tff(c_25695,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_25546]) ).
tff(c_26138,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25695,c_104]) ).
tff(c_25697,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_383,c_8]) ).
tff(c_25698,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_25697]) ).
tff(c_25703,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25698,c_106]) ).
tff(c_25713,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25695,c_98]) ).
tff(c_26028,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_25703,c_25713,c_25076,c_4]) ).
tff(c_25891,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25532,c_54]) ).
tff(c_25892,plain,
( ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_25713,c_25891]) ).
tff(c_25893,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_25892]) ).
tff(c_25898,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25893,c_138]) ).
tff(c_25712,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25695,c_100]) ).
tff(c_25905,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_70]) ).
tff(c_25906,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_25898,c_202,c_25712,c_25905]) ).
tff(c_25934,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25906,c_24378,c_74]) ).
tff(c_25935,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_387,c_198,c_204,c_25934]) ).
tff(c_25939,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25935,c_102]) ).
tff(c_25953,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25703,c_25939,c_25713,c_25076,c_4]) ).
tff(c_25954,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_25892]) ).
tff(c_25961,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25954,c_130]) ).
tff(c_26062,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_25698,c_86]) ).
tff(c_26063,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_25961,c_202,c_26062]) ).
tff(c_26129,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26028,c_25532,c_25954,c_26063,c_266]) ).
tff(c_26130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_26129]) ).
tff(c_26131,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_25697]) ).
tff(c_26146,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_26138,c_26131]) ).
tff(c_26151,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26146,c_184]) ).
tff(c_25533,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_25075]) ).
tff(c_26175,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25532,c_268]) ).
tff(c_26176,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_25076,c_194,c_26175]) ).
tff(c_26177,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_26176]) ).
tff(c_26181,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26177,c_160]) ).
tff(c_26137,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25695,c_98]) ).
tff(c_26199,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_26181,c_26137,c_25076,c_4]) ).
tff(c_26203,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26199,c_164]) ).
tff(c_26136,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25695,c_100]) ).
tff(c_26162,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_70]) ).
tff(c_26163,plain,
( ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_26136,c_26162]) ).
tff(c_26164,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_26163]) ).
tff(c_26226,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_26164,c_84]) ).
tff(c_26227,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_24871,c_26226]) ).
tff(c_26238,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_26164,c_26227,c_96]) ).
tff(c_26239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_26203,c_200,c_26238]) ).
tff(c_26240,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_26176]) ).
tff(c_26245,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26240,c_164]) ).
tff(c_26278,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26146,c_25695,c_48]) ).
tff(c_26279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_24872,c_26245,c_202,c_26278]) ).
tff(c_26280,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_26163]) ).
tff(c_26373,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26280,c_24883,c_68]) ).
tff(c_26374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26151,c_194,c_25533,c_200,c_26373]) ).
tff(c_26376,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_250]) ).
tff(c_26391,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26376,c_116]) ).
tff(c_26390,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26376,c_110]) ).
tff(c_26461,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_383,c_8]) ).
tff(c_26462,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_26461]) ).
tff(c_26690,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26462,c_106]) ).
tff(c_26377,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24883,c_148]) ).
tff(c_26389,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26376,c_146]) ).
tff(c_26449,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_26377,c_26389,c_381,c_2]) ).
tff(c_26455,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26449,c_98]) ).
tff(c_26397,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_24870]) ).
tff(c_26403,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26397,c_106]) ).
tff(c_26427,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_26428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26403,c_26391,c_385,c_204,c_26427]) ).
tff(c_26429,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_24870]) ).
tff(c_26431,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_26429]) ).
tff(c_26436,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26431,c_126]) ).
tff(c_26526,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_24874,c_26436,c_22]) ).
tff(c_26527,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_26526]) ).
tff(c_26613,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26527,c_26431,c_24883,c_72]) ).
tff(c_26614,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_26613]) ).
tff(c_26638,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26462,c_26614,c_382,c_332]) ).
tff(c_26639,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_26391,c_198,c_204,c_26638]) ).
tff(c_26640,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_26526]) ).
tff(c_26644,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26640,c_180]) ).
tff(c_26388,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26376,c_154]) ).
tff(c_26463,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_386,c_24871,c_28]) ).
tff(c_26464,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_26463]) ).
tff(c_26682,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_26464,c_88]) ).
tff(c_26683,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_26644,c_202,c_26388,c_26682]) ).
tff(c_26684,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_26463]) ).
tff(c_26698,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26684,c_164]) ).
tff(c_26430,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_24870]) ).
tff(c_26754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26690,c_26455,c_26698,c_26430,c_4]) ).
tff(c_26755,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_26461]) ).
tff(c_26757,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_26755]) ).
tff(c_26769,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26757,c_26449,c_40]) ).
tff(c_26770,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_26769]) ).
tff(c_26771,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_26770]) ).
tff(c_26787,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26757,c_26771,c_26449,c_48]) ).
tff(c_26788,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_26787]) ).
tff(c_26792,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_26788,c_164]) ).
tff(c_26818,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26788,c_26431,c_268]) ).
tff(c_26819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_26390,c_196,c_26792,c_26818]) ).
tff(c_26820,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_26770]) ).
tff(c_26833,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26757,c_26820,c_26449,c_48]) ).
tff(c_26834,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_24872,c_202,c_204,c_26833]) ).
tff(c_26835,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_26755]) ).
tff(c_26850,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26835,c_26449,c_48]) ).
tff(c_26851,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_24872,c_204,c_26850]) ).
tff(c_26877,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26431,c_26851,c_54]) ).
tff(c_26878,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_26390,c_202,c_26877]) ).
tff(c_26908,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26851,c_26431,c_26878,c_268]) ).
tff(c_26909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_26390,c_196,c_202,c_26908]) ).
tff(c_26910,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_26429]) ).
tff(c_26917,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26910,c_118]) ).
tff(c_27000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20357,c_384,c_26391,c_26917,c_16]) ).
tff(c_27002,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_24882]) ).
tff(c_24377,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_20356]) ).
tff(c_27001,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_24882]) ).
tff(c_27005,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27001,c_168]) ).
tff(c_24873,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_178]) ).
tff(c_27029,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_27030,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_27029]) ).
tff(c_27032,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27030,c_152]) ).
tff(c_27065,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_20357,c_384,c_16]) ).
tff(c_27066,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_27065]) ).
tff(c_27072,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27066,c_118]) ).
tff(c_27015,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27001,c_24870]) ).
tff(c_27016,plain,
( ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_27015]) ).
tff(c_27017,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_27016]) ).
tff(c_27095,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27001,c_27017,c_54]) ).
tff(c_27096,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_27072,c_194,c_27095]) ).
tff(c_27101,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27096,c_134]) ).
tff(c_27021,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27017,c_102]) ).
tff(c_27047,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_66]) ).
tff(c_27048,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_27021,c_27047]) ).
tff(c_27049,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_27048]) ).
tff(c_27057,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27049,c_136]) ).
tff(c_27190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27032,c_388,c_27101,c_27057,c_26]) ).
tff(c_27191,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_27065]) ).
tff(c_27196,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27191,c_186]) ).
tff(c_27055,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27049,c_180]) ).
tff(c_27221,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27030,c_27017,c_228]) ).
tff(c_27222,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_27032,c_27221]) ).
tff(c_27244,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27001,c_27222,c_68]) ).
tff(c_27245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27196,c_27055,c_200,c_196,c_27244]) ).
tff(c_27247,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_27048]) ).
tff(c_27379,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_24873,c_387,c_27247,c_30]) ).
tff(c_27384,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27379,c_138]) ).
tff(c_27390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27005,c_386,c_27384,c_24871,c_28]) ).
tff(c_27391,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_27029]) ).
tff(c_27393,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_27391]) ).
tff(c_27417,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27393,c_46]) ).
tff(c_27418,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_27002,c_24377,c_202,c_27417]) ).
tff(c_27020,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27017,c_158]) ).
tff(c_27458,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11477,c_385,c_24]) ).
tff(c_27459,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_27458]) ).
tff(c_27462,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27459,c_186]) ).
tff(c_27399,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27393,c_104]) ).
tff(c_27023,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27017,c_106]) ).
tff(c_27406,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_383,c_27399,c_27023,c_8]) ).
tff(c_27547,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27406,c_27459,c_382,c_332]) ).
tff(c_27548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_27462,c_198,c_204,c_27547]) ).
tff(c_27549,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_27458]) ).
tff(c_27567,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_27549,c_27406,c_86]) ).
tff(c_27568,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_27567]) ).
tff(c_27661,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27568,c_24378,c_52]) ).
tff(c_27662,plain,
op(e2,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_27020,c_27661]) ).
tff(c_27698,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27418,c_27662,c_27393,c_42]) ).
tff(c_27699,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_27698]) ).
tff(c_27398,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27393,c_100]) ).
tff(c_27435,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_24872,c_27398,c_27021,c_6]) ).
tff(c_27584,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24378,c_27435,c_70]) ).
tff(c_27585,plain,
( ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_27584]) ).
tff(c_27586,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_27585]) ).
tff(c_27589,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27586,c_180]) ).
tff(c_27397,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27393,c_148]) ).
tff(c_27595,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27549,c_27001,c_72]) ).
tff(c_27596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_27589,c_202,c_27397,c_27595]) ).
tff(c_27597,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_27585]) ).
tff(c_27598,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_27585]) ).
tff(c_27627,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_24873,c_387,c_27598,c_30]) ).
tff(c_27708,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27699,c_24378,c_27597,c_27627,c_284]) ).
tff(c_27709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_27708]) ).
tff(c_27710,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_27391]) ).
tff(c_27715,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27710,c_148]) ).
tff(c_27716,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_27710,c_100]) ).
tff(c_27757,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_24872,c_27716,c_27021,c_6]) ).
tff(c_27761,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27757,c_172]) ).
tff(c_27726,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_84]) ).
tff(c_27727,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_24871,c_27726]) ).
tff(c_27728,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_27727]) ).
tff(c_27732,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27728,c_180]) ).
tff(c_27769,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_24874,c_27761,c_27732,c_22]) ).
tff(c_27983,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27757,c_24378,c_27769,c_27728,c_296]) ).
tff(c_27984,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_200,c_27983]) ).
tff(c_27985,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_27727]) ).
tff(c_28038,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27710,c_27017,c_27985,c_228]) ).
tff(c_28039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_27715,c_200,c_28038]) ).
tff(c_28041,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_27016]) ).
tff(c_28040,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_27016]) ).
tff(c_28520,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28040,c_27001,c_268]) ).
tff(c_28521,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28041,c_194,c_204,c_27005,c_28520]) ).
tff(c_28522,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_24376]) ).
tff(c_28524,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28522,c_166]) ).
tff(c_248,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_28546,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 )
| ( e2 = e0 )
| ( op(e2,e3) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28522,c_248]) ).
tff(c_28547,plain,
( ( op(e2,e1) != e2 )
| ( op(e2,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_28524,c_28546]) ).
tff(c_28548,plain,
op(e2,e3) != e2,
inference(splitLeft,[status(thm)],[c_28547]) ).
tff(c_28526,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28522,c_162]) ).
tff(c_28534,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28526,c_11476]) ).
tff(c_28535,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_28534]) ).
tff(c_28537,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28535,c_156]) ).
tff(c_28568,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28535,c_236]) ).
tff(c_28569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_28548,c_204,c_28537,c_28568]) ).
tff(c_28571,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_28547]) ).
tff(c_28576,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28571,c_116]) ).
tff(c_28525,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28522,c_158]) ).
tff(c_28523,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_24376]) ).
tff(c_28575,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28571,c_112]) ).
tff(c_28581,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28523,c_28575,c_14]) ).
tff(c_28582,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_28581]) ).
tff(c_28589,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28582,c_174]) ).
tff(c_28583,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_36]) ).
tff(c_28584,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_28583]) ).
tff(c_28536,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28535,c_148]) ).
tff(c_28574,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28571,c_146]) ).
tff(c_28605,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28536,c_28574,c_381,c_2]) ).
tff(c_28680,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28584,c_28605,c_40]) ).
tff(c_28681,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_28680]) ).
tff(c_28682,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_28681]) ).
tff(c_28695,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28584,c_28682,c_28605,c_48]) ).
tff(c_28696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_28525,c_204,c_28695]) ).
tff(c_28697,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_28681]) ).
tff(c_28708,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28584,c_28697,c_28605,c_48]) ).
tff(c_28709,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_28708]) ).
tff(c_28713,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28709,c_176]) ).
tff(c_28721,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28709,c_28582,c_300]) ).
tff(c_28722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_28589,c_28713,c_28721]) ).
tff(c_28724,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_28583]) ).
tff(c_28822,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_383,c_28724,c_8]) ).
tff(c_28823,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_28822]) ).
tff(c_28894,plain,
( ( e1 = e0 )
| ( op(e0,e1) != e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28823,c_382,c_328]) ).
tff(c_28895,plain,
op(e0,e1) != e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_28576,c_204,c_28894]) ).
tff(c_28540,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28535,c_124]) ).
tff(c_28729,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28582,c_174]) ).
tff(c_28760,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28536,c_28574,c_381,c_2]) ).
tff(c_28723,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_28583]) ).
tff(c_28735,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_28723]) ).
tff(c_28794,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28760,c_28735,c_28535,c_228]) ).
tff(c_28795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_28537,c_28794]) ).
tff(c_28796,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_28723]) ).
tff(c_28800,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28796,c_172]) ).
tff(c_28863,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_28540,c_28729,c_28800,c_22]) ).
tff(c_28913,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28863,c_28582,c_28796,c_78]) ).
tff(c_28914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28895,c_202,c_204,c_200,c_28913]) ).
tff(c_28915,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_28822]) ).
tff(c_28811,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28536,c_28574,c_381,c_2]) ).
tff(c_28929,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28915,c_28796,c_28811,c_48]) ).
tff(c_28930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_28525,c_204,c_28929]) ).
tff(c_28931,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_28581]) ).
tff(c_28938,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28931,c_120]) ).
tff(c_28978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20357,c_384,c_28576,c_28938,c_16]) ).
tff(c_28979,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_28534]) ).
tff(c_28981,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28979,c_180]) ).
tff(c_28982,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28979,c_172]) ).
tff(c_29006,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28523,c_14]) ).
tff(c_29007,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_29006]) ).
tff(c_29009,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29007,c_170]) ).
tff(c_29035,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28982,c_29009,c_6]) ).
tff(c_29036,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_29035]) ).
tff(c_29106,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29036,c_29007,c_28979,c_300]) ).
tff(c_29107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_204,c_28981,c_29106]) ).
tff(c_29108,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_29035]) ).
tff(c_29115,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29108,c_108]) ).
tff(c_28991,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28979,c_72]) ).
tff(c_28992,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_28991]) ).
tff(c_28993,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_28992]) ).
tff(c_28997,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28993,c_186]) ).
tff(c_29135,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28993,c_382,c_332]) ).
tff(c_29136,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29115,c_28997,c_198,c_204,c_29135]) ).
tff(c_29137,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_29006]) ).
tff(c_29141,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_29137]) ).
tff(c_29144,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29141,c_170]) ).
tff(c_29346,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29141,c_28979,c_300]) ).
tff(c_29347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29144,c_194,c_204,c_28981,c_29346]) ).
tff(c_29348,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_29137]) ).
tff(c_29355,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29348,c_112]) ).
tff(c_29377,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_29355,c_234]) ).
tff(c_29378,plain,
op(e3,e0) != e3,
inference(splitLeft,[status(thm)],[c_29377]) ).
tff(c_29379,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28993,c_382,c_332]) ).
tff(c_29380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29378,c_28997,c_198,c_204,c_29379]) ).
tff(c_29382,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_29377]) ).
tff(c_29386,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29382,c_106]) ).
tff(c_29381,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_29377]) ).
tff(c_29397,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29381,c_122]) ).
tff(c_29417,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28522,c_268]) ).
tff(c_29418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29386,c_202,c_29397,c_28524,c_29417]) ).
tff(c_29420,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_28992]) ).
tff(c_29432,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_11477,c_385,c_29420,c_24]) ).
tff(c_356,plain,
( ( op(e2,e2) != e0 )
| ( op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) != e3 )
| ( op(op(e2,e2),op(e2,e2)) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_718]) ).
tff(c_29805,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_28522,c_28522,c_29432,c_382,c_28522,c_28522,c_28522,c_28522,c_356]) ).
tff(c_29806,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_29808,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_29806]) ).
tff(c_34056,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_156]) ).
tff(c_34054,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_154]) ).
tff(c_34760,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_34054,c_10]) ).
tff(c_34761,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_34760]) ).
tff(c_34839,plain,
( ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34761,c_29808,c_236]) ).
tff(c_34840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_34056,c_204,c_34839]) ).
tff(c_34841,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_34760]) ).
tff(c_34854,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_34841]) ).
tff(c_35467,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34854,c_110]) ).
tff(c_29809,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_29825,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_128]) ).
tff(c_29812,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_156]) ).
tff(c_29810,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_154]) ).
tff(c_29830,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_29810,c_10]) ).
tff(c_29831,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_29830]) ).
tff(c_30428,plain,
( ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29831,c_29808,c_236]) ).
tff(c_30429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_29812,c_204,c_30428]) ).
tff(c_30430,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_29830]) ).
tff(c_30432,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_30430]) ).
tff(c_30524,plain,
( ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30432,c_29808,c_236]) ).
tff(c_30525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_29812,c_204,c_30524]) ).
tff(c_30526,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_30430]) ).
tff(c_30531,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30526,c_150]) ).
tff(c_29822,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_192]) ).
tff(c_29807,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_29811,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_152]) ).
tff(c_30530,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30526,c_146]) ).
tff(c_32202,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_29811,c_30530,c_381,c_2]) ).
tff(c_32170,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_30526,c_46]) ).
tff(c_32171,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_29825,c_202,c_32170]) ).
tff(c_32176,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32171,c_98]) ).
tff(c_29814,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_136]) ).
tff(c_29821,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_186]) ).
tff(c_30534,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30526,c_116]) ).
tff(c_30556,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29821,c_30534,c_16]) ).
tff(c_30557,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_30556]) ).
tff(c_30562,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30557,c_120]) ).
tff(c_29823,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_132]) ).
tff(c_29824,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_130]) ).
tff(c_30540,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_88]) ).
tff(c_30541,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_30540]) ).
tff(c_30542,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_30541]) ).
tff(c_30545,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_188]) ).
tff(c_30567,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_30545,c_30530,c_40]) ).
tff(c_30568,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_30567]) ).
tff(c_30533,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30526,c_112]) ).
tff(c_29820,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_184]) ).
tff(c_30560,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30557,c_182]) ).
tff(c_30569,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_30582,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30569,c_164]) ).
tff(c_30532,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30526,c_110]) ).
tff(c_30584,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30569,c_168]) ).
tff(c_30590,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29824,c_30584,c_20]) ).
tff(c_30591,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_30590]) ).
tff(c_30597,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30591,c_160]) ).
tff(c_30574,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30568,c_102]) ).
tff(c_30604,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_30597,c_30574,c_30582,c_4]) ).
tff(c_30609,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30604,c_98]) ).
tff(c_30641,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30609,c_29811,c_30530,c_381,c_2]) ).
tff(c_30642,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_30590]) ).
tff(c_30744,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30642,c_30569,c_268]) ).
tff(c_30745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30582,c_30532,c_198,c_200,c_30744]) ).
tff(c_30746,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_30759,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_30746]) ).
tff(c_30765,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30759,c_106]) ).
tff(c_30781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29820,c_30560,c_30545,c_30765,c_8]) ).
tff(c_30782,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_30746]) ).
tff(c_30784,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_30782]) ).
tff(c_30789,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30784,c_122]) ).
tff(c_30868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_30789,c_18]) ).
tff(c_30869,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_30782]) ).
tff(c_30876,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30869,c_114]) ).
tff(c_31091,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_30562,c_30533,c_30876,c_14]) ).
tff(c_30897,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_29811,c_30530,c_381,c_2]) ).
tff(c_30902,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30897,c_98]) ).
tff(c_30870,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_30782]) ).
tff(c_30917,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29824,c_30870,c_20]) ).
tff(c_30918,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_30917]) ).
tff(c_30924,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30918,c_126]) ).
tff(c_30951,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30918,c_30869,c_62]) ).
tff(c_30952,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_30902,c_30951]) ).
tff(c_30957,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30952,c_138]) ).
tff(c_30962,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30568,c_300]) ).
tff(c_30963,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_30533,c_30924,c_30957,c_30962]) ).
tff(c_30964,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_30917]) ).
tff(c_30983,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30964,c_30869,c_62]) ).
tff(c_30984,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_30902,c_30983]) ).
tff(c_30989,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30984,c_138]) ).
tff(c_30548,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_144]) ).
tff(c_31005,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_30989,c_29814,c_30548,c_30]) ).
tff(c_31015,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30568,c_31005,c_300]) ).
tff(c_31016,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_194,c_30533,c_200,c_31015]) ).
tff(c_31169,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30568,c_31091,c_31016,c_31005,c_296]) ).
tff(c_31170,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_200,c_31169]) ).
tff(c_31171,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_30567]) ).
tff(c_31175,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31171,c_160]) ).
tff(c_31186,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31171,c_50]) ).
tff(c_31187,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_31186]) ).
tff(c_31188,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_31187]) ).
tff(c_31192,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31188,c_168]) ).
tff(c_31543,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_29824,c_31175,c_31192,c_20]) ).
tff(c_31549,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31543,c_126]) ).
tff(c_31227,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_29824,c_31175,c_31192,c_20]) ).
tff(c_31268,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31188,c_31227,c_31171,c_62]) ).
tff(c_31269,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_31268]) ).
tff(c_31172,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_30567]) ).
tff(c_31200,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31171,c_36]) ).
tff(c_31201,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_381,c_31200]) ).
tff(c_31202,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_31201]) ).
tff(c_31206,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31202,c_108]) ).
tff(c_31233,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31227,c_126]) ).
tff(c_31278,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_31206,c_30533,c_31233,c_300]) ).
tff(c_31259,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_18]) ).
tff(c_31263,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31259,c_124]) ).
tff(c_31298,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31278,c_66]) ).
tff(c_31299,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_31263,c_31206,c_31298]) ).
tff(c_31314,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31278,c_31299,c_70]) ).
tff(c_31315,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_31172,c_31314]) ).
tff(c_342,plain,
( ( op(e1,e1) != e2 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e3 )
| ( op(op(e1,e1),op(e1,e1)) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_31514,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31269,c_31315,c_31315,c_31188,c_31315,c_31269,c_31315,c_31315,c_31315,c_342]) ).
tff(c_31515,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_31201]) ).
tff(c_31520,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31515,c_172]) ).
tff(c_31568,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_29823,c_31549,c_31520,c_22]) ).
tff(c_31600,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31568,c_31515,c_74]) ).
tff(c_31601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29814,c_198,c_30562,c_196,c_31600]) ).
tff(c_31603,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_31187]) ).
tff(c_31627,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30557,c_29809,c_30542,c_332]) ).
tff(c_31628,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_31627]) ).
tff(c_31632,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31628,c_108]) ).
tff(c_31602,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_31187]) ).
tff(c_31606,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_31602]) ).
tff(c_31610,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31606,c_162]) ).
tff(c_31651,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_29824,c_31175,c_31610,c_20]) ).
tff(c_31657,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31651,c_126]) ).
tff(c_31665,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31651,c_292]) ).
tff(c_31666,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_31632,c_31657,c_31665]) ).
tff(c_31705,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30542,c_31666,c_29808,c_84]) ).
tff(c_31706,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_31603,c_196,c_31705]) ).
tff(c_31707,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_31602]) ).
tff(c_31713,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31707,c_122]) ).
tff(c_31762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_31713,c_18]) ).
tff(c_31763,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_30556]) ).
tff(c_31767,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31763,c_182]) ).
tff(c_31926,plain,
( ( e2 = e0 )
| ( op(e0,e1) != e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31763,c_30542,c_328]) ).
tff(c_31927,plain,
op(e0,e1) != e0,
inference(negUnitSimplification,[status(thm)],[c_31767,c_194,c_202,c_31926]) ).
tff(c_31768,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31763,c_118]) ).
tff(c_31777,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31763,c_30526,c_60]) ).
tff(c_31778,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_31777]) ).
tff(c_31779,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_31778]) ).
tff(c_31784,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31779,c_174]) ).
tff(c_31790,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_30545,c_30530,c_40]) ).
tff(c_31791,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_31790]) ).
tff(c_31819,plain,
( ( e2 = e0 )
| ( op(e0,e1) != e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31763,c_30542,c_328]) ).
tff(c_31820,plain,
op(e0,e1) != e0,
inference(negUnitSimplification,[status(thm)],[c_31767,c_194,c_202,c_31819]) ).
tff(c_31870,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_31820,c_29814,c_30548,c_30]) ).
tff(c_31910,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31791,c_31779,c_31870,c_300]) ).
tff(c_31911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_31784,c_200,c_31910]) ).
tff(c_31912,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_31790]) ).
tff(c_31943,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31912,c_50]) ).
tff(c_31944,plain,
( ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_31768,c_194,c_31943]) ).
tff(c_31945,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_31944]) ).
tff(c_31950,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31945,c_138]) ).
tff(c_32044,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31927,c_29814,c_30548,c_31950,c_30]) ).
tff(c_32045,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_31944]) ).
tff(c_32052,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32045,c_122]) ).
tff(c_32106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_32052,c_18]) ).
tff(c_32107,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_31778]) ).
tff(c_32123,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32107,c_50]) ).
tff(c_32124,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_32123]) ).
tff(c_32125,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_32124]) ).
tff(c_32113,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32107,c_162]) ).
tff(c_32129,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32125,c_168]) ).
tff(c_32144,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_29824,c_32113,c_32129,c_20]) ).
tff(c_32182,plain,
( ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32125,c_32144,c_32107,c_62]) ).
tff(c_32183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_32176,c_32182]) ).
tff(c_32184,plain,
( ( op(e1,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_32124]) ).
tff(c_32186,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_32184]) ).
tff(c_32253,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_18]) ).
tff(c_32275,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32202,c_32186,c_32253,c_29808,c_228]) ).
tff(c_32276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_204,c_32275]) ).
tff(c_32277,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_32184]) ).
tff(c_32283,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32277,c_122]) ).
tff(c_32347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_32283,c_18]) ).
tff(c_32349,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_30541]) ).
tff(c_32348,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_30541]) ).
tff(c_32350,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_32348]) ).
tff(c_32352,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32350,c_164]) ).
tff(c_32363,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_32352,c_30530,c_40]) ).
tff(c_32364,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_32363]) ).
tff(c_32378,plain,
op(e1,e2) != e1,
inference(splitLeft,[status(thm)],[c_292]) ).
tff(c_32354,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32350,c_168]) ).
tff(c_32380,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32350,c_50]) ).
tff(c_32381,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_32380]) ).
tff(c_32382,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_32381]) ).
tff(c_32388,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32382,c_122]) ).
tff(c_32433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_32388,c_18]) ).
tff(c_32435,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_32381]) ).
tff(c_32494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29824,c_32378,c_32354,c_32435,c_20]) ).
tff(c_32496,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_292]) ).
tff(c_32502,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_32496,c_126]) ).
tff(c_32495,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_292]) ).
tff(c_32507,plain,
( ( op(e3,e1) = e3 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_32502,c_32495]) ).
tff(c_32508,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_32507]) ).
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_32519,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_29822,c_29807,c_32349,c_32]) ).
tff(c_32628,plain,
( ( e3 = e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32364,c_32508,c_32519,c_328]) ).
tff(c_32629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_30534,c_200,c_32628]) ).
tff(c_32631,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_32507]) ).
tff(c_32356,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32350,c_138]) ).
tff(c_32630,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_32507]) ).
tff(c_32634,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32630,c_176]) ).
tff(c_32779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32631,c_29814,c_32356,c_32634,c_30]) ).
tff(c_32780,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_32363]) ).
tff(c_32792,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32780,c_292]) ).
tff(c_32793,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_32792]) ).
tff(c_32794,plain,
op(e1,e2) != e1,
inference(splitLeft,[status(thm)],[c_32793]) ).
tff(c_32797,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32350,c_50]) ).
tff(c_32798,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_32797]) ).
tff(c_32799,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_32798]) ).
tff(c_32805,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32799,c_122]) ).
tff(c_33074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_32805,c_18]) ).
tff(c_33076,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_32798]) ).
tff(c_33143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29824,c_32794,c_32354,c_33076,c_20]) ).
tff(c_33145,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_32793]) ).
tff(c_33153,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33145,c_126]) ).
tff(c_33144,plain,
( ( op(e1,e1) = e1 )
| ( op(e0,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_32793]) ).
tff(c_33158,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_33153,c_33144]) ).
tff(c_33169,plain,
( ( op(e0,e0) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33158,c_328]) ).
tff(c_33170,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_30534,c_29822,c_33169]) ).
tff(c_33174,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33170,c_188]) ).
tff(c_33277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29822,c_29807,c_32349,c_33174,c_32]) ).
tff(c_33278,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_32348]) ).
tff(c_33282,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33278,c_176]) ).
tff(c_33293,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33282,c_30530,c_40]) ).
tff(c_33294,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_33293]) ).
tff(c_29815,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_134]) ).
tff(c_33279,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_32348]) ).
tff(c_33315,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_33321,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33315,c_142]) ).
tff(c_33371,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29822,c_29807,c_32349,c_33321,c_32]) ).
tff(c_33373,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_33722,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_29815,c_33279,c_33373,c_28]) ).
tff(c_33517,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33278,c_29808,c_84]) ).
tff(c_33518,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_33373,c_196,c_33517]) ).
tff(c_324,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 )
| ( op(e3,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_33882,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33294,c_33722,c_29809,c_33518,c_324]) ).
tff(c_33883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_33882]) ).
tff(c_33884,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_33293]) ).
tff(c_33983,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33884,c_160]) ).
tff(c_33896,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29824,c_20]) ).
tff(c_33897,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_33896]) ).
tff(c_33903,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33897,c_126]) ).
tff(c_33283,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33278,c_180]) ).
tff(c_33968,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_29823,c_33903,c_33283,c_22]) ).
tff(c_33973,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33968,c_124]) ).
tff(c_33978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_33973,c_18]) ).
tff(c_33979,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_33896]) ).
tff(c_33993,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_33983,c_33979]) ).
tff(c_33999,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33993,c_122]) ).
tff(c_34051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29825,c_29812,c_30531,c_33999,c_18]) ).
tff(c_34052,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_34064,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_34052]) ).
tff(c_34091,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34064,c_148]) ).
tff(c_34055,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_152]) ).
tff(c_34065,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_34054,c_10]) ).
tff(c_34066,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_34065]) ).
tff(c_34069,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34064,c_150]) ).
tff(c_34087,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34066,c_34069]) ).
tff(c_34088,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_34065]) ).
tff(c_34101,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_34088]) ).
tff(c_34693,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_34064,c_34101,c_38]) ).
tff(c_34694,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_34693]) ).
tff(c_34706,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34694,c_34101,c_34064,c_29808,c_236]) ).
tff(c_34707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_204,c_204,c_34706]) ).
tff(c_34708,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_34088]) ).
tff(c_34712,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34708,c_146]) ).
tff(c_34757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34091,c_34055,c_34712,c_381,c_2]) ).
tff(c_34758,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_34052]) ).
tff(c_34843,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_34758]) ).
tff(c_35474,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_72]) ).
tff(c_35475,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_35474]) ).
tff(c_35476,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_35475]) ).
tff(c_35482,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35476,c_128]) ).
tff(c_34759,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_34052]) ).
tff(c_35839,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_34854,c_46]) ).
tff(c_35840,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_34759,c_200,c_35839]) ).
tff(c_35900,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_34854,c_35840,c_38]) ).
tff(c_35901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_35482,c_194,c_202,c_35900]) ).
tff(c_35902,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_35475]) ).
tff(c_35904,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_35902]) ).
tff(c_36456,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_35904,c_34854,c_46]) ).
tff(c_36457,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_36456]) ).
tff(c_36556,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36457,c_34854,c_35904,c_29808,c_236]) ).
tff(c_36557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_198,c_204,c_36556]) ).
tff(c_36558,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_35902]) ).
tff(c_34855,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_50]) ).
tff(c_34872,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34855,c_138]) ).
tff(c_34868,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34855,c_164]) ).
tff(c_34897,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_72]) ).
tff(c_34898,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_34897]) ).
tff(c_34899,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_34898]) ).
tff(c_34902,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34899,c_186]) ).
tff(c_34846,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_174]) ).
tff(c_34861,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34854,c_112]) ).
tff(c_34878,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34846,c_34861,c_14]) ).
tff(c_34879,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_34878]) ).
tff(c_34885,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_34879,c_120]) ).
tff(c_35062,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34899,c_332]) ).
tff(c_35063,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_34902,c_198,c_35062]) ).
tff(c_35064,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_35063]) ).
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_35087,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34899,c_35064,c_90]) ).
tff(c_35088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29807,c_198,c_34885,c_196,c_35087]) ).
tff(c_35089,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_35063]) ).
tff(c_35094,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35089,c_188]) ).
tff(c_34901,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34899,c_184]) ).
tff(c_35090,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_35063]) ).
tff(c_35101,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_35094,c_34901,c_35090,c_8]) ).
tff(c_330,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_35125,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35101,c_34899,c_35089,c_330]) ).
tff(c_35126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_34902,c_198,c_35125]) ).
tff(c_35127,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_34898]) ).
tff(c_35129,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_35127]) ).
tff(c_35143,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_35129,c_34854,c_46]) ).
tff(c_35144,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_35143]) ).
tff(c_35245,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_34885,c_90]) ).
tff(c_35246,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_35245]) ).
tff(c_35252,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35246,c_130]) ).
tff(c_35149,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35144,c_98]) ).
tff(c_35155,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_35149,c_34868,c_4]) ).
tff(c_35156,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_35155]) ).
tff(c_35160,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35156,c_160]) ).
tff(c_35136,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35129,c_122]) ).
tff(c_35204,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34855,c_35156,c_54]) ).
tff(c_35205,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_35136,c_198,c_35204]) ).
tff(c_35228,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35156,c_35205,c_34855,c_260]) ).
tff(c_35229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_35160,c_200,c_35228]) ).
tff(c_35230,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_35155]) ).
tff(c_34847,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_126]) ).
tff(c_35257,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34855,c_35230,c_62]) ).
tff(c_35258,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_34847,c_202,c_35257]) ).
tff(c_35274,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35230,c_35258,c_34855,c_268]) ).
tff(c_35275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_35252,c_200,c_35274]) ).
tff(c_35276,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_35245]) ).
tff(c_35328,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35276,c_35230,c_35144,c_36]) ).
tff(c_35329,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_35328]) ).
tff(c_35352,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35144,c_34854,c_35329,c_29808,c_232]) ).
tff(c_35353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_204,c_35352]) ).
tff(c_35354,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_35127]) ).
tff(c_35358,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35354,c_162]) ).
tff(c_35390,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35354,c_34855,c_268]) ).
tff(c_35391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34868,c_35358,c_198,c_200,c_35390]) ).
tff(c_35392,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_34878]) ).
tff(c_35447,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_35392,c_66]) ).
tff(c_35448,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_34872,c_200,c_194,c_35447]) ).
tff(c_35459,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34854,c_35448,c_29808,c_232]) ).
tff(c_35460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_204,c_35459]) ).
tff(c_35461,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_36570,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36558,c_35461]) ).
tff(c_36571,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_35467,c_194,c_36570]) ).
tff(c_36642,plain,
( ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36571,c_29808,c_228]) ).
tff(c_36643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_34056,c_204,c_36642]) ).
tff(c_36644,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_34841]) ).
tff(c_36650,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36644,c_110]) ).
tff(c_34844,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_180]) ).
tff(c_34058,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_136]) ).
tff(c_36649,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36644,c_150]) ).
tff(c_36658,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_72]) ).
tff(c_36659,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_36649,c_36658]) ).
tff(c_36660,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_36659]) ).
tff(c_36663,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36660,c_186]) ).
tff(c_36651,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36644,c_112]) ).
tff(c_36673,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34846,c_36651,c_14]) ).
tff(c_36674,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_36673]) ).
tff(c_36680,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36674,c_120]) ).
tff(c_36662,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36660,c_184]) ).
tff(c_36688,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_36]) ).
tff(c_36689,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_36688]) ).
tff(c_36724,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36660,c_36689,c_90]) ).
tff(c_36725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29807,c_198,c_36680,c_196,c_36724]) ).
tff(c_36727,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_36688]) ).
tff(c_36899,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_36662,c_36727,c_8]) ).
tff(c_36900,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_36899]) ).
tff(c_36904,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36900,c_188]) ).
tff(c_36664,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36660,c_192]) ).
tff(c_36925,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_36904,c_29807,c_36664,c_32]) ).
tff(c_36946,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36925,c_36660,c_36900,c_90]) ).
tff(c_36947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_36680,c_204,c_36946]) ).
tff(c_36948,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_36899]) ).
tff(c_36995,plain,
( ( op(e0,e0) != e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36948,c_36660,c_330]) ).
tff(c_36996,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_196,c_36663,c_198,c_36995]) ).
tff(c_37031,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36660,c_36948,c_82]) ).
tff(c_37032,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_37031]) ).
tff(c_37033,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_37032]) ).
tff(c_37037,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37033,c_190]) ).
tff(c_36679,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36674,c_114]) ).
tff(c_37001,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_36679,c_36650,c_12]) ).
tff(c_37002,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_37001]) ).
tff(c_37060,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36674,c_37002,c_36644,c_52]) ).
tff(c_37061,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37037,c_196,c_200,c_194,c_37060]) ).
tff(c_37062,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_37032]) ).
tff(c_37123,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36948,c_37062,c_36660,c_332]) ).
tff(c_37124,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_36996,c_37123]) ).
tff(c_37125,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_37001]) ).
tff(c_37158,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36674,c_37125,c_36644,c_64]) ).
tff(c_37159,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_37158]) ).
tff(c_37200,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36948,c_37159,c_36660,c_332]) ).
tff(c_37201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_36996,c_37200]) ).
tff(c_37202,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_36673]) ).
tff(c_37207,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37202,c_178]) ).
tff(c_37288,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_34844,c_34058,c_37207,c_30]) ).
tff(c_37364,plain,
( ( op(e3,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37288,c_34843,c_37202,c_74]) ).
tff(c_37365,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_37364]) ).
tff(c_37489,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37365,c_37202,c_34843,c_37288,c_300]) ).
tff(c_37490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_202,c_37489]) ).
tff(c_37491,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_36659]) ).
tff(c_38349,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37491,c_268]) ).
tff(c_38350,plain,
( ( op(e0,e2) = e0 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_36650,c_198,c_38349]) ).
tff(c_38351,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_38350]) ).
tff(c_38459,plain,
( ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38351,c_29808,c_228]) ).
tff(c_38460,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_34056,c_204,c_38459]) ).
tff(c_38461,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_38350]) ).
tff(c_38465,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38461,c_164]) ).
tff(c_38466,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38461,c_166]) ).
tff(c_37878,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34846,c_36651,c_14]) ).
tff(c_37879,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_37878]) ).
tff(c_37509,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34843,c_66]) ).
tff(c_37510,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_37509]) ).
tff(c_37511,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_37510]) ).
tff(c_37854,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37511,c_178]) ).
tff(c_37512,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_34846,c_36651,c_14]) ).
tff(c_37513,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_37512]) ).
tff(c_37786,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37511,c_34843,c_37513,c_70]) ).
tff(c_37787,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_37786]) ).
tff(c_37848,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37787,c_37513,c_34843,c_37511,c_300]) ).
tff(c_37849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_204,c_200,c_37848]) ).
tff(c_37850,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_37512]) ).
tff(c_37875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37854,c_37850]) ).
tff(c_37876,plain,
( ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_37510]) ).
tff(c_37890,plain,
( ( e3 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37879,c_37876]) ).
tff(c_37891,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_37890]) ).
tff(c_37896,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37891,c_102]) ).
tff(c_37500,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37491,c_160]) ).
tff(c_36648,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36644,c_146]) ).
tff(c_37903,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37891,c_40]) ).
tff(c_37904,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_37500,c_36648,c_37903]) ).
tff(c_37907,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37904,c_188]) ).
tff(c_37934,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_37907,c_32]) ).
tff(c_37935,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_37934]) ).
tff(c_37940,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37935,c_142]) ).
tff(c_37884,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37879,c_114]) ).
tff(c_37952,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_37884,c_36650,c_12]) ).
tff(c_37953,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_37952]) ).
tff(c_38002,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37953,c_37491,c_268]) ).
tff(c_38003,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37896,c_202,c_198,c_37940,c_38002]) ).
tff(c_38004,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_37952]) ).
tff(c_38057,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38004,c_37491,c_268]) ).
tff(c_38058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37896,c_194,c_198,c_37940,c_38057]) ).
tff(c_38059,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_37934]) ).
tff(c_380,plain,
( ( op(e1,e1) != e0 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_790]) ).
tff(c_38346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_38059,c_34843,c_34843,c_37904,c_38059,c_34843,c_34843,c_34843,c_34843,c_380]) ).
tff(c_38347,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_37878]) ).
tff(c_38478,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38347,c_114]) ).
tff(c_38692,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_38466,c_36650,c_38478,c_12]) ).
tff(c_38696,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38692,c_158]) ).
tff(c_38462,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_38350]) ).
tff(c_38741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38465,c_38696,c_37500,c_38462,c_4]) ).
tff(c_38742,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_34758]) ).
tff(c_38744,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_168]) ).
tff(c_34059,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_29808,c_134]) ).
tff(c_38746,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_160]) ).
tff(c_38766,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_72]) ).
tff(c_38767,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_38766]) ).
tff(c_38768,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_38767]) ).
tff(c_38774,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38768,c_128]) ).
tff(c_38754,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_34841]) ).
tff(c_38758,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38754,c_150]) ).
tff(c_38855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34759,c_34056,c_38774,c_38758,c_18]) ).
tff(c_38856,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_38767]) ).
tff(c_38858,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_38856]) ).
tff(c_38863,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38858,c_148]) ).
tff(c_38885,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_34055,c_38863,c_381,c_2]) ).
tff(c_38941,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e2) != e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38885,c_38858,c_29808,c_228]) ).
tff(c_38942,plain,
op(e3,e2) != e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_204,c_38941]) ).
tff(c_38945,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_268]) ).
tff(c_38946,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_38942,c_204,c_38744,c_38945]) ).
tff(c_38951,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38946,c_158]) ).
tff(c_38956,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_38746,c_38951,c_38942,c_4]) ).
tff(c_39000,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38956,c_38946,c_38742,c_260]) ).
tff(c_39001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_38744,c_39000]) ).
tff(c_39003,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_38856]) ).
tff(c_39138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34759,c_34056,c_39003,c_38758,c_18]) ).
tff(c_39139,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_34841]) ).
tff(c_39143,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39139,c_146]) ).
tff(c_39192,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_34055,c_39143,c_381,c_2]) ).
tff(c_39224,plain,
( ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e2) != e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39192,c_29808,c_228]) ).
tff(c_39225,plain,
op(e3,e2) != e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_34056,c_204,c_39224]) ).
tff(c_38745,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_162]) ).
tff(c_39145,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39139,c_110]) ).
tff(c_39153,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38745,c_39145,c_12]) ).
tff(c_39154,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_39153]) ).
tff(c_39229,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39154,c_38742,c_268]) ).
tff(c_39230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39225,c_198,c_204,c_38744,c_39229]) ).
tff(c_39231,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_39153]) ).
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_39300,plain,
( ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38742,c_39231,c_58]) ).
tff(c_39301,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_34059,c_204,c_196,c_39300]) ).
tff(c_39329,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39301,c_39231,c_38742,c_268]) ).
tff(c_39330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_38744,c_39329]) ).
tff(c_39331,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_29806]) ).
tff(c_39333,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_39331]) ).
tff(c_39334,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_178]) ).
tff(c_39346,plain,
op(e2,e1) != e2,
inference(splitLeft,[status(thm)],[c_264]) ).
tff(c_39336,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_180]) ).
tff(c_39347,plain,
( ( op(e3,e0) != e3 )
| ( op(e3,e1) != e3 )
| ( op(e3,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_222]) ).
tff(c_39348,plain,
op(e3,e2) != e3,
inference(splitLeft,[status(thm)],[c_39347]) ).
tff(c_39338,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_138]) ).
tff(c_39349,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_39350,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39349,c_154]) ).
tff(c_39351,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39349,c_146]) ).
tff(c_40000,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39351,c_381,c_2]) ).
tff(c_40001,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_40000]) ).
tff(c_39354,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39349,c_112]) ).
tff(c_39335,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_176]) ).
tff(c_39381,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39335,c_6]) ).
tff(c_39382,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_39381]) ).
tff(c_39759,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_39354,c_39334,c_39346,c_14]) ).
tff(c_39385,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39382,c_172]) ).
tff(c_39393,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_39385,c_39336,c_22]) ).
tff(c_39394,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_39393]) ).
tff(c_39777,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39382,c_39759,c_39394,c_39333,c_300]) ).
tff(c_39778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_198,c_204,c_39777]) ).
tff(c_39779,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_39393]) ).
tff(c_39783,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39779,c_174]) ).
tff(c_39977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39354,c_39334,c_39346,c_39783,c_14]) ).
tff(c_39978,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_39381]) ).
tff(c_39982,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_39978]) ).
tff(c_40049,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40001,c_39349,c_39982,c_232]) ).
tff(c_40050,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_39350,c_40049]) ).
tff(c_40051,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_40000]) ).
tff(c_39332,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_29806]) ).
tff(c_40056,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40051,c_152]) ).
tff(c_40064,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_39350,c_39332,c_40056,c_26]) ).
tff(c_40190,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40051,c_39349,c_39982,c_40064,c_232]) ).
tff(c_40191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_200,c_40190]) ).
tff(c_40192,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_39978]) ).
tff(c_40429,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_39354,c_39334,c_39346,c_14]) ).
tff(c_40473,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40192,c_40429,c_39333,c_300]) ).
tff(c_40474,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_39336,c_204,c_40473]) ).
tff(c_40475,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_40479,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_40475]) ).
tff(c_40491,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_60]) ).
tff(c_40492,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39334,c_196,c_40491]) ).
tff(c_40493,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_40492]) ).
tff(c_41284,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40493,c_118]) ).
tff(c_42149,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_236]) ).
tff(c_42150,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_42149]) ).
tff(c_42151,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_42150]) ).
tff(c_42205,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42151,c_39333,c_284]) ).
tff(c_42206,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39346,c_39336,c_204,c_42205]) ).
tff(c_42207,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_42150]) ).
tff(c_42228,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42207,c_156]) ).
tff(c_42208,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_42150]) ).
tff(c_42209,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_42210,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_42209]) ).
tff(c_42212,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42210,c_152]) ).
tff(c_42221,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42212,c_42207]) ).
tff(c_42222,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_42209]) ).
tff(c_42247,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_42222]) ).
tff(c_42250,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42247,c_148]) ).
tff(c_40483,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_150]) ).
tff(c_42277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42228,c_42208,c_42250,c_40483,c_18]) ).
tff(c_42278,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_42222]) ).
tff(c_42284,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42278,c_98]) ).
tff(c_40494,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_40483,c_68]) ).
tff(c_40495,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_40494]) ).
tff(c_40508,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40495,c_132]) ).
tff(c_40518,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_38]) ).
tff(c_40519,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_40518]) ).
tff(c_40520,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_40519]) ).
tff(c_40525,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40520,c_140]) ).
tff(c_40610,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40495,c_40493,c_86]) ).
tff(c_40611,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_40525,c_194,c_198,c_40610]) ).
tff(c_40635,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40611,c_40493,c_40495,c_332]) ).
tff(c_40636,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_40635]) ).
tff(c_40673,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40611,c_40493,c_40495,c_40636,c_330]) ).
tff(c_40674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_40673]) ).
tff(c_40675,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_40519]) ).
tff(c_40677,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_40675]) ).
tff(c_40692,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_40677,c_46]) ).
tff(c_40693,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_40692]) ).
tff(c_40694,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_40693]) ).
tff(c_40698,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40694,c_156]) ).
tff(c_40705,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_276]) ).
tff(c_40706,plain,
( ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39336,c_204,c_40705]) ).
tff(c_40707,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_40706]) ).
tff(c_40680,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40677,c_148]) ).
tff(c_40754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40698,c_40707,c_40680,c_40483,c_18]) ).
tff(c_40756,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_40706]) ).
tff(c_40760,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_40756,c_122]) ).
tff(c_40700,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40694,c_134]) ).
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_40766,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40493,c_40479,c_56]) ).
tff(c_40767,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_39346,c_194,c_40766]) ).
tff(c_40805,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40767,c_260]) ).
tff(c_40806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39348,c_40760,c_40700,c_40805]) ).
tff(c_40808,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_40693]) ).
tff(c_40838,plain,
( ( op(e0,e3) = e0 )
| ( op(e3,e1) != e3 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40677,c_40479,c_232]) ).
tff(c_40839,plain,
op(e3,e1) != e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_40808,c_40838]) ).
tff(c_40485,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_112]) ).
tff(c_40844,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_40485,c_14]) ).
tff(c_40902,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_40844,c_66]) ).
tff(c_40903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_40508,c_200,c_40839,c_40902]) ).
tff(c_40904,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_40675]) ).
tff(c_40910,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40904,c_124]) ).
tff(c_41137,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_40485,c_14]) ).
tff(c_41264,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_41137,c_70]) ).
tff(c_41265,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_40910,c_202,c_41264]) ).
tff(c_41276,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41265,c_41137,c_39333,c_300]) ).
tff(c_41277,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_39336,c_204,c_41276]) ).
tff(c_41278,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_40494]) ).
tff(c_41292,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_41278]) ).
tff(c_42307,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41292,c_58]) ).
tff(c_42308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39338,c_196,c_41284,c_42284,c_42307]) ).
tff(c_42309,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_41278]) ).
tff(c_42325,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42309,c_172]) ).
tff(c_42359,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_40485,c_14]) ).
tff(c_42398,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42359,c_42309,c_39333,c_300]) ).
tff(c_42399,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_42325,c_202,c_196,c_204,c_42398]) ).
tff(c_42400,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_40492]) ).
tff(c_42405,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42400,c_162]) ).
tff(c_42492,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_284]) ).
tff(c_42493,plain,
op(e1,e3) != e1,
inference(negUnitSimplification,[status(thm)],[c_39346,c_39336,c_204,c_42492]) ).
tff(c_42938,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40479,c_236]) ).
tff(c_42939,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_42493,c_42938]) ).
tff(c_42945,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42939,c_134]) ).
tff(c_43019,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42400,c_268]) ).
tff(c_43020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39348,c_198,c_42405,c_42945,c_43019]) ).
tff(c_43021,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_40475]) ).
tff(c_43024,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_43021]) ).
tff(c_43032,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_116]) ).
tff(c_43037,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_43032,c_16]) ).
tff(c_43038,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_43037]) ).
tff(c_43044,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43038,c_120]) ).
tff(c_43696,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_43044,c_39334,c_39346,c_14]) ).
tff(c_43700,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43696,c_170]) ).
tff(c_43766,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43696,c_39333,c_300]) ).
tff(c_43767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43700,c_194,c_39336,c_204,c_43766]) ).
tff(c_43768,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_43037]) ).
tff(c_43770,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_43768]) ).
tff(c_43777,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43770,c_120]) ).
tff(c_43803,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_43777,c_14]) ).
tff(c_43809,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43803,c_114]) ).
tff(c_43030,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_110]) ).
tff(c_43773,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43770,c_182]) ).
tff(c_43808,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43803,c_174]) ).
tff(c_43787,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_46]) ).
tff(c_43788,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_43787]) ).
tff(c_43789,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_43788]) ).
tff(c_43792,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43789,c_156]) ).
tff(c_290,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_44113,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_39336,c_290]) ).
tff(c_44114,plain,
op(e1,e2) != e1,
inference(splitLeft,[status(thm)],[c_44113]) ).
tff(c_43775,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43770,c_190]) ).
tff(c_44214,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_43789,c_84]) ).
tff(c_44215,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_43775,c_196,c_200,c_44214]) ).
tff(c_43794,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43789,c_134]) ).
tff(c_43818,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_39348,c_43794,c_268]) ).
tff(c_43819,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_43818]) ).
tff(c_43935,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_43789,c_84]) ).
tff(c_43936,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_43775,c_196,c_200,c_43935]) ).
tff(c_43807,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43803,c_170]) ).
tff(c_43791,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43789,c_152]) ).
tff(c_43836,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_43807,c_43791,c_48]) ).
tff(c_43837,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_43836]) ).
tff(c_43842,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43837,c_106]) ).
tff(c_44004,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43936,c_43819,c_62]) ).
tff(c_44005,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_43842,c_44004]) ).
tff(c_44050,plain,
( ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43936,c_44005,c_43819,c_58]) ).
tff(c_44051,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_44050]) ).
tff(c_44098,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44051,c_43819,c_44005,c_43936,c_260]) ).
tff(c_44099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_200,c_44098]) ).
tff(c_44100,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_43836]) ).
tff(c_44295,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44215,c_43819,c_44100,c_58]) ).
tff(c_44296,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_44114,c_198,c_204,c_44295]) ).
tff(c_44298,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_44113]) ).
tff(c_44401,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44298,c_80]) ).
tff(c_44402,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_43808,c_204,c_43792,c_44401]) ).
tff(c_43793,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43789,c_140]) ).
tff(c_44388,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_43793,c_29807,c_43775,c_32]) ).
tff(c_44423,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43770,c_44402,c_44388,c_332]) ).
tff(c_44424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43773,c_194,c_204,c_202,c_44423]) ).
tff(c_44426,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_43818]) ).
tff(c_43776,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43770,c_118]) ).
tff(c_44567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43809,c_43030,c_44426,c_43776,c_12]) ).
tff(c_44569,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_43788]) ).
tff(c_44568,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_43788]) ).
tff(c_44570,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_44568]) ).
tff(c_44577,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44570,c_104]) ).
tff(c_322,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 )
| ( op(e3,e0) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_44604,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e2) != e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_43773,c_322]) ).
tff(c_44605,plain,
op(e0,e2) != e0,
inference(splitLeft,[status(thm)],[c_44604]) ).
tff(c_44590,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_39348,c_268]) ).
tff(c_44591,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_44590]) ).
tff(c_44594,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44591,c_166]) ).
tff(c_44769,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_84]) ).
tff(c_44770,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_43775,c_196,c_44769]) ).
tff(c_44771,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_44770]) ).
tff(c_44777,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44771,c_134]) ).
tff(c_44574,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44570,c_148]) ).
tff(c_43029,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_150]) ).
tff(c_44627,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_44570,c_38]) ).
tff(c_44628,plain,
( ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_44627]) ).
tff(c_44629,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_44628]) ).
tff(c_44632,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44629,c_156]) ).
tff(c_44700,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_44574,c_43029,c_44632,c_18]) ).
tff(c_44749,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44570,c_43024,c_44700,c_44629,c_236]) ).
tff(c_44750,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_202,c_44749]) ).
tff(c_44751,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_44628]) ).
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_44844,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44751,c_43024,c_44570,c_34]) ).
tff(c_44845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44777,c_194,c_196,c_200,c_44844]) ).
tff(c_44847,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_44770]) ).
tff(c_44891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44605,c_39338,c_44594,c_44847,c_28]) ).
tff(c_44893,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_44604]) ).
tff(c_44920,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_44893,c_84]) ).
tff(c_44921,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_43775,c_196,c_200,c_44920]) ).
tff(c_44930,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44921,c_43024,c_44570,c_38]) ).
tff(c_44931,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_44930]) ).
tff(c_44936,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44931,c_124]) ).
tff(c_44953,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_70]) ).
tff(c_44954,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_44936,c_39346,c_44953]) ).
tff(c_44960,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44954,c_108]) ).
tff(c_45048,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_44577,c_44960,c_43773,c_8]) ).
tff(c_45053,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45048,c_184]) ).
tff(c_44898,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44893,c_142]) ).
tff(c_45068,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45048,c_43770,c_332]) ).
tff(c_45069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_45053,c_44898,c_45068]) ).
tff(c_45071,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_44590]) ).
tff(c_45207,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43770,c_43024,c_56]) ).
tff(c_45208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_39346,c_45071,c_198,c_45207]) ).
tff(c_45209,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_44568]) ).
tff(c_45263,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_45209,c_236]) ).
tff(c_45264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_204,c_44569,c_45263]) ).
tff(c_45265,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_43768]) ).
tff(c_45272,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45265,c_118]) ).
tff(c_45271,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45265,c_190]) ).
tff(c_45284,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_46]) ).
tff(c_45285,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_45284]) ).
tff(c_45286,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_45285]) ).
tff(c_45291,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45286,c_134]) ).
tff(c_45303,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_39348,c_45272,c_45291,c_268]) ).
tff(c_45836,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45303,c_62]) ).
tff(c_45837,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45291,c_204,c_45836]) ).
tff(c_45838,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_45837]) ).
tff(c_45843,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45838,c_158]) ).
tff(c_45306,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45303,c_160]) ).
tff(c_45863,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_45843,c_45306,c_39348,c_4]) ).
tff(c_45869,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45863,c_98]) ).
tff(c_45887,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45286,c_43024,c_38]) ).
tff(c_45888,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_45869,c_45887]) ).
tff(c_45892,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45888,c_124]) ).
tff(c_45309,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_45303,c_130]) ).
tff(c_45270,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45265,c_186]) ).
tff(c_45332,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45309,c_45270,c_24]) ).
tff(c_45333,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_45332]) ).
tff(c_45336,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45333,c_184]) ).
tff(c_45317,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_14]) ).
tff(c_45318,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_45317]) ).
tff(c_45321,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45318,c_170]) ).
tff(c_45288,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45286,c_152]) ).
tff(c_45425,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45265,c_45318,c_43024,c_52]) ).
tff(c_45426,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_45425]) ).
tff(c_45397,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45318,c_70]) ).
tff(c_45398,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_45397]) ).
tff(c_45399,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_45398]) ).
tff(c_45350,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45303,c_54]) ).
tff(c_45351,plain,
( ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_45272,c_45350]) ).
tff(c_45352,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_45351]) ).
tff(c_45355,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45352,c_164]) ).
tff(c_45376,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_45306,c_45355,c_39348,c_4]) ).
tff(c_370,plain,
( ( op(e1,e1) != e2 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e0 )
| ( op(op(e1,e1),op(e1,e1)) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_760]) ).
tff(c_45637,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_45426,c_45399,c_45399,c_45376,c_45426,c_45399,c_45399,c_45399,c_45399,c_370]) ).
tff(c_45638,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_45398]) ).
tff(c_45663,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45638,c_45303,c_39333,c_292]) ).
tff(c_45664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_39336,c_204,c_45663]) ).
tff(c_45665,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_45351]) ).
tff(c_45680,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45665,c_48]) ).
tff(c_45681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45336,c_45321,c_202,c_45288,c_45680]) ).
tff(c_45682,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_45332]) ).
tff(c_45687,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45682,c_192]) ).
tff(c_45761,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45286,c_84]) ).
tff(c_45762,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_45687,c_196,c_200,c_45761]) ).
tff(c_45766,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_45762,c_166]) ).
tff(c_45800,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45265,c_45318,c_43024,c_52]) ).
tff(c_45801,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_45766,c_196,c_45800]) ).
tff(c_45802,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_45317]) ).
tff(c_45814,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_45309,c_45270,c_24]) ).
tff(c_45815,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_45814]) ).
tff(c_45820,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45815,c_132]) ).
tff(c_45875,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45802,c_78]) ).
tff(c_45876,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_45820,c_200,c_45875]) ).
tff(c_45913,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45802,c_45876,c_70]) ).
tff(c_45914,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_45892,c_194,c_202,c_45913]) ).
tff(c_45916,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_45837]) ).
tff(c_46027,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45265,c_45802,c_43024,c_64]) ).
tff(c_46028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_45916,c_204,c_46027]) ).
tff(c_46029,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_45814]) ).
tff(c_46034,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46029,c_192]) ).
tff(c_46081,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_45286,c_84]) ).
tff(c_46082,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_46034,c_196,c_200,c_46081]) ).
tff(c_46115,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_46082,c_45286,c_88]) ).
tff(c_46116,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_45271,c_198,c_194,c_202,c_46115]) ).
tff(c_46118,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_45285]) ).
tff(c_46259,plain,
( ( op(e0,e3) = e0 )
| ( op(e3,e1) != e3 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43024,c_232]) ).
tff(c_46260,plain,
op(e3,e1) != e3,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_46118,c_46259]) ).
tff(c_46117,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_45285]) ).
tff(c_46121,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_46117]) ).
tff(c_46149,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46121,c_43024,c_234]) ).
tff(c_46150,plain,
op(e3,e0) != e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_43029,c_46149]) ).
tff(c_46217,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46121,c_36]) ).
tff(c_46218,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_46150,c_39348,c_200,c_46217]) ).
tff(c_46231,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46121,c_43024,c_46218,c_232]) ).
tff(c_46232,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_46118,c_46231]) ).
tff(c_46234,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_46117]) ).
tff(c_46247,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_46234,c_48]) ).
tff(c_46248,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_46247]) ).
tff(c_46346,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46248,c_36]) ).
tff(c_46347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_46260,c_39348,c_381,c_46346]) ).
tff(c_46348,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_46247]) ).
tff(c_46350,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_46348]) ).
tff(c_46352,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_46350,c_164]) ).
tff(c_46363,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46350,c_268]) ).
tff(c_46364,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_45272,c_46352,c_46363]) ).
tff(c_46398,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46364,c_46350,c_54]) ).
tff(c_46399,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_45272,c_202,c_46398]) ).
tff(c_46404,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46399,c_134]) ).
tff(c_46233,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_46117]) ).
tff(c_46411,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46233,c_43024,c_38]) ).
tff(c_46412,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_46404,c_202,c_198,c_46411]) ).
tff(c_46521,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_46399,c_84]) ).
tff(c_46522,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_46521]) ).
tff(c_46523,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_46522]) ).
tff(c_46528,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46523,c_140]) ).
tff(c_46533,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46118,c_39332,c_46404,c_46528,c_26]) ).
tff(c_46534,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_46522]) ).
tff(c_46649,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46412,c_43024,c_46233,c_46534,c_236]) ).
tff(c_46650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_204,c_200,c_46649]) ).
tff(c_46651,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_46348]) ).
tff(c_46663,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46651,c_290]) ).
tff(c_46664,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e2) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_39336,c_46663]) ).
tff(c_46665,plain,
op(e1,e2) != e1,
inference(splitLeft,[status(thm)],[c_46664]) ).
tff(c_46666,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_39348,c_45272,c_46665,c_268]) ).
tff(c_46669,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_46666,c_166]) ).
tff(c_46654,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_46651,c_170]) ).
tff(c_46681,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_46654,c_39334,c_39346,c_14]) ).
tff(c_46686,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46681,c_114]) ).
tff(c_46751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46669,c_43030,c_45272,c_46686,c_12]) ).
tff(c_46753,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_46664]) ).
tff(c_46754,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39348,c_45272,c_268]) ).
tff(c_46755,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_46754]) ).
tff(c_46969,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46651,c_46755,c_39333,c_292]) ).
tff(c_46970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_39336,c_204,c_46969]) ).
tff(c_46972,plain,
op(e1,e2) != e1,
inference(splitRight,[status(thm)],[c_46754]) ).
tff(c_46984,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46753,c_46972]) ).
tff(c_46985,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_43021]) ).
tff(c_46992,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_110]) ).
tff(c_50470,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_46]) ).
tff(c_50471,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_50470]) ).
tff(c_50472,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_50471]) ).
tff(c_50478,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50472,c_134]) ).
tff(c_46994,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_116]) ).
tff(c_48202,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_46]) ).
tff(c_48203,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_48202]) ).
tff(c_48204,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_48203]) ).
tff(c_47000,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_39348,c_50]) ).
tff(c_47001,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_47000]) ).
tff(c_48105,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_268]) ).
tff(c_48106,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_39348,c_46992,c_200,c_48105]) ).
tff(c_48108,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48106,c_162]) ).
tff(c_47007,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_134]) ).
tff(c_47026,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_46]) ).
tff(c_47027,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_47026]) ).
tff(c_47028,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_47027]) ).
tff(c_47036,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47028,c_156]) ).
tff(c_274,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_47012,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39336,c_274]) ).
tff(c_47013,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_47012]) ).
tff(c_46991,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_150]) ).
tff(c_47006,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_142]) ).
tff(c_47014,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_47006,c_82]) ).
tff(c_47015,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_47014]) ).
tff(c_47021,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47015,c_128]) ).
tff(c_47129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47036,c_47013,c_46991,c_47021,c_18]) ).
tff(c_47130,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_47027]) ).
tff(c_47145,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_47130]) ).
tff(c_47149,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47145,c_148]) ).
tff(c_47225,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47149,c_47013,c_46991,c_47021,c_18]) ).
tff(c_47226,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_47130]) ).
tff(c_47227,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_47130]) ).
tff(c_46990,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_146]) ).
tff(c_47387,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_47227,c_46990,c_381,c_2]) ).
tff(c_47425,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47226,c_46985,c_47387,c_34]) ).
tff(c_47426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47007,c_200,c_194,c_196,c_47425]) ).
tff(c_47427,plain,
( ( op(e2,e0) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_47014]) ).
tff(c_47429,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_47427]) ).
tff(c_47433,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_47429,c_108]) ).
tff(c_47922,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47001,c_54]) ).
tff(c_47923,plain,
( ( op(e3,e2) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_46992,c_47922]) ).
tff(c_47924,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_47923]) ).
tff(c_47939,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47924,c_47001,c_268]) ).
tff(c_47940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39348,c_46992,c_198,c_200,c_47939]) ).
tff(c_47941,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_47923]) ).
tff(c_47978,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47941,c_47001,c_268]) ).
tff(c_47979,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_194,c_46992,c_200,c_47978]) ).
tff(c_48054,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47979,c_39333,c_292]) ).
tff(c_48055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47433,c_39336,c_204,c_48054]) ).
tff(c_48056,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_47427]) ).
tff(c_48129,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48056,c_46985,c_60]) ).
tff(c_48130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_39334,c_48108,c_198,c_48129]) ).
tff(c_48132,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_47012]) ).
tff(c_48143,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48132,c_46985,c_46]) ).
tff(c_48144,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_48143]) ).
tff(c_48145,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_48144]) ).
tff(c_48149,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48145,c_152]) ).
tff(c_48134,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_48132,c_148]) ).
tff(c_48158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48149,c_48134,c_46990,c_381,c_2]) ).
tff(c_48160,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_48144]) ).
tff(c_46989,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_154]) ).
tff(c_48174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48160,c_39332,c_46989,c_47007,c_26]) ).
tff(c_48175,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_47000]) ).
tff(c_48177,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_48175]) ).
tff(c_48205,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_46985,c_60]) ).
tff(c_48206,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_39334,c_196,c_198,c_48205]) ).
tff(c_48302,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_70]) ).
tff(c_48303,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_39346,c_48302]) ).
tff(c_48304,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_48303]) ).
tff(c_48221,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48204,c_134]) ).
tff(c_48248,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_268]) ).
tff(c_48249,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_39348,c_194,c_48221,c_48248]) ).
tff(c_48220,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48204,c_156]) ).
tff(c_48188,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_284]) ).
tff(c_48189,plain,
op(e1,e3) != e1,
inference(negUnitSimplification,[status(thm)],[c_39346,c_39336,c_204,c_48188]) ).
tff(c_48271,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_48220,c_48189,c_46991,c_18]) ).
tff(c_48338,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48304,c_48249,c_48271,c_80]) ).
tff(c_48339,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_48338]) ).
tff(c_48183,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_118]) ).
tff(c_48190,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_48183,c_82]) ).
tff(c_48191,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_48190]) ).
tff(c_316,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e0,e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_48479,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48204,c_48206,c_48339,c_48191,c_316]) ).
tff(c_48480,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_200,c_48479]) ).
tff(c_48481,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_48303]) ).
tff(c_48502,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48481,c_48249,c_39333,c_292]) ).
tff(c_48503,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_39336,c_204,c_48502]) ).
tff(c_48505,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_48203]) ).
tff(c_48197,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48191,c_140]) ).
tff(c_48900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48505,c_39332,c_46989,c_48197,c_26]) ).
tff(c_48901,plain,
( ( op(e1,e0) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_48190]) ).
tff(c_48903,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_48901]) ).
tff(c_49216,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48903,c_86]) ).
tff(c_49217,plain,
( ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_46994,c_194,c_49216]) ).
tff(c_49218,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_49217]) ).
tff(c_49233,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49218,c_142]) ).
tff(c_49213,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_268]) ).
tff(c_49214,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39348,c_194,c_49213]) ).
tff(c_49215,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_49214]) ).
tff(c_48902,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_48190]) ).
tff(c_48176,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_47000]) ).
tff(c_48915,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_46]) ).
tff(c_48916,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_48915]) ).
tff(c_48917,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_48916]) ).
tff(c_49035,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_48917,c_84]) ).
tff(c_49036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48902,c_196,c_48176,c_200,c_49035]) ).
tff(c_49037,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_48916]) ).
tff(c_49039,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_49037]) ).
tff(c_49043,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49039,c_148]) ).
tff(c_49170,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_49043,c_48189,c_46991,c_18]) ).
tff(c_49174,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49170,c_156]) ).
tff(c_49186,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_84]) ).
tff(c_49187,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48902,c_196,c_48176,c_49174,c_49186]) ).
tff(c_49189,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_49037]) ).
tff(c_49239,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48903,c_48]) ).
tff(c_49240,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_49189,c_49239]) ).
tff(c_49241,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_49240]) ).
tff(c_49302,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_49241,c_70]) ).
tff(c_49303,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_39346,c_202,c_49302]) ).
tff(c_49376,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49241,c_49303,c_39333,c_300]) ).
tff(c_49377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_39346,c_198,c_204,c_49376]) ).
tff(c_49378,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_49240]) ).
tff(c_49401,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49215,c_48177,c_49378,c_54]) ).
tff(c_49402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49233,c_198,c_194,c_202,c_49401]) ).
tff(c_49403,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_49217]) ).
tff(c_49422,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49403,c_132]) ).
tff(c_49488,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_70]) ).
tff(c_49489,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_49422,c_39346,c_49488]) ).
tff(c_49188,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_49037]) ).
tff(c_49557,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49403,c_49215,c_49188,c_68]) ).
tff(c_49558,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_49557]) ).
tff(c_49586,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49489,c_49215,c_49558,c_39333,c_292]) ).
tff(c_49587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_204,c_49586]) ).
tff(c_49588,plain,
op(e0,e2) = e0,
inference(splitRight,[status(thm)],[c_49214]) ).
tff(c_49592,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49588,c_164]) ).
tff(c_49638,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48903,c_48]) ).
tff(c_49639,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_49592,c_49189,c_49638]) ).
tff(c_49642,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49639,c_170]) ).
tff(c_48182,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_114]) ).
tff(c_49650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49642,c_39334,c_39346,c_48182,c_14]) ).
tff(c_49652,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_48901]) ).
tff(c_49677,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48177,c_46985,c_60]) ).
tff(c_49678,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_39334,c_196,c_198,c_49677]) ).
tff(c_49651,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_48901]) ).
tff(c_49701,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49651,c_49678,c_86]) ).
tff(c_49702,plain,
( ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_49701]) ).
tff(c_49703,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_49702]) ).
tff(c_49772,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49678,c_49651,c_49703,c_332]) ).
tff(c_49773,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49652,c_198,c_196,c_202,c_49772]) ).
tff(c_49774,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_49702]) ).
tff(c_49859,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49774,c_49678,c_49651,c_332]) ).
tff(c_49860,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_49859]) ).
tff(c_50023,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49774,c_49678,c_49651,c_49860,c_330]) ).
tff(c_50024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_50023]) ).
tff(c_50025,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_48175]) ).
tff(c_50499,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50025,c_268]) ).
tff(c_50500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39348,c_46992,c_196,c_50478,c_50499]) ).
tff(c_50501,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_50471]) ).
tff(c_50506,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_50501]) ).
tff(c_50510,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50506,c_148]) ).
tff(c_50032,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50025,c_130]) ).
tff(c_50040,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_50032,c_82]) ).
tff(c_50041,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_50040]) ).
tff(c_50359,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50041,c_39333,c_88]) ).
tff(c_50360,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_46989,c_50359]) ).
tff(c_252,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_50453,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_50025,c_50360,c_252]) ).
tff(c_50454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46992,c_196,c_202,c_50453]) ).
tff(c_50455,plain,
( ( op(e2,e0) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_50040]) ).
tff(c_50459,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_50455]) ).
tff(c_50463,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50459,c_108]) ).
tff(c_50519,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_14]) ).
tff(c_50520,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_50519]) ).
tff(c_50524,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50520,c_174]) ).
tff(c_50031,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50025,c_126]) ).
tff(c_50619,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_50524,c_39336,c_50031,c_22]) ).
tff(c_50636,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_50619,c_50520,c_66]) ).
tff(c_50637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_50463,c_50636]) ).
tff(c_50638,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_50519]) ).
tff(c_50782,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50638,c_39333,c_284]) ).
tff(c_50783,plain,
op(e1,e3) != e1,
inference(negUnitSimplification,[status(thm)],[c_194,c_39336,c_204,c_50782]) ).
tff(c_50030,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50025,c_122]) ).
tff(c_50784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50510,c_50783,c_46991,c_50030,c_18]) ).
tff(c_50785,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_50501]) ).
tff(c_50792,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50785,c_128]) ).
tff(c_50460,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50459,c_182]) ).
tff(c_50786,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_50501]) ).
tff(c_50801,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50459,c_48]) ).
tff(c_50802,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_50786,c_50801]) ).
tff(c_50803,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_50802]) ).
tff(c_50806,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50803,c_170]) ).
tff(c_50911,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_50806,c_39334,c_39346,c_14]) ).
tff(c_50872,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_50803,c_70]) ).
tff(c_50873,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_39346,c_202,c_50872]) ).
tff(c_50826,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_50792,c_50032,c_24]) ).
tff(c_50827,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_50826]) ).
tff(c_298,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_51010,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50803,c_50911,c_50873,c_50827,c_298]) ).
tff(c_51011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_198,c_51010]) ).
tff(c_51012,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_50826]) ).
tff(c_51018,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51012,c_192]) ).
tff(c_50814,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39338,c_48176,c_28]) ).
tff(c_50815,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_50814]) ).
tff(c_51042,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_50815,c_88]) ).
tff(c_51043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51018,c_198,c_202,c_46989,c_51042]) ).
tff(c_51044,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_50814]) ).
tff(c_51065,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50025,c_51044,c_268]) ).
tff(c_51066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39348,c_46992,c_196,c_202,c_51065]) ).
tff(c_51068,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_50802]) ).
tff(c_51134,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_70]) ).
tff(c_51135,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_39346,c_51134]) ).
tff(c_51136,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_51135]) ).
tff(c_51160,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_51136,c_78]) ).
tff(c_51161,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_51068,c_51160]) ).
tff(c_51093,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50459,c_90]) ).
tff(c_51094,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_196,c_51093]) ).
tff(c_51095,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_51094]) ).
tff(c_51098,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51095,c_186]) ).
tff(c_51107,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_60]) ).
tff(c_51108,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_51098,c_39334,c_198,c_51107]) ).
tff(c_51176,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51161,c_51108,c_46985,c_52]) ).
tff(c_51177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50460,c_200,c_196,c_194,c_51176]) ).
tff(c_51178,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_51135]) ).
tff(c_51210,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51108,c_46985,c_52]) ).
tff(c_51211,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_50460,c_196,c_194,c_51210]) ).
tff(c_51238,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51178,c_51211,c_39333,c_300]) ).
tff(c_51239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_39336,c_204,c_51238]) ).
tff(c_51241,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_51094]) ).
tff(c_51252,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_50792,c_51241,c_50032,c_24]) ).
tff(c_51320,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51252,c_50025,c_50785,c_76]) ).
tff(c_51321,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_39336,c_196,c_204,c_51320]) ).
tff(c_51322,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_50455]) ).
tff(c_51331,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51322,c_120]) ).
tff(c_51350,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_51331,c_14]) ).
tff(c_51355,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51350,c_174]) ).
tff(c_51633,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_51355,c_39336,c_50031,c_22]) ).
tff(c_51360,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_46]) ).
tff(c_51361,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_51360]) ).
tff(c_51362,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_51361]) ).
tff(c_51368,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51362,c_134]) ).
tff(c_51339,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51322,c_46985,c_60]) ).
tff(c_51340,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_39334,c_198,c_51339]) ).
tff(c_51375,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51340,c_50025,c_268]) ).
tff(c_51376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39348,c_198,c_196,c_51368,c_51375]) ).
tff(c_51377,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_51361]) ).
tff(c_51379,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_51377]) ).
tff(c_51383,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51379,c_148]) ).
tff(c_51395,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51340,c_50025,c_268]) ).
tff(c_51396,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_39348,c_198,c_196,c_51395]) ).
tff(c_51411,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51396,c_50025,c_51340,c_54]) ).
tff(c_51412,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_51411]) ).
tff(c_51417,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51412,c_106]) ).
tff(c_51424,plain,
( ( op(e3,e0) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51322,c_86]) ).
tff(c_51425,plain,
( ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_51417,c_51424]) ).
tff(c_51426,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_51425]) ).
tff(c_51437,plain,
( ( op(e3,e0) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51426,c_51322,c_90]) ).
tff(c_51438,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_51437]) ).
tff(c_51439,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_51438]) ).
tff(c_51444,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51439,c_128]) ).
tff(c_51451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51383,c_51444,c_46991,c_50030,c_18]) ).
tff(c_51452,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_51438]) ).
tff(c_51466,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_51383,c_46991,c_50030,c_18]) ).
tff(c_51494,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50025,c_51466,c_80]) ).
tff(c_51495,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_51355,c_200,c_204,c_51494]) ).
tff(c_51589,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51452,c_51396,c_51495,c_51426,c_324]) ).
tff(c_51590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_202,c_51589]) ).
tff(c_51591,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_51425]) ).
tff(c_51596,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51591,c_132]) ).
tff(c_51604,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51355,c_39336,c_51596,c_50031,c_22]) ).
tff(c_51606,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_51377]) ).
tff(c_51819,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_51606,c_46990,c_381,c_2]) ).
tff(c_360,plain,
( ( op(e3,e3) != e1 )
| ( op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) != e0 )
| ( op(op(e3,e3),op(e3,e3)) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_51946,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_51633,c_51819,c_51819,c_51350,c_51819,c_51633,c_51819,c_51819,c_51819,c_360]) ).
tff(c_51948,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_39347]) ).
tff(c_51952,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_102]) ).
tff(c_51954,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_106]) ).
tff(c_55681,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_51954,c_82]) ).
tff(c_55682,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_55681]) ).
tff(c_55694,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55682,c_190]) ).
tff(c_55679,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_14]) ).
tff(c_55680,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_55679]) ).
tff(c_51959,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39334,c_60]) ).
tff(c_51960,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_51959]) ).
tff(c_51962,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51960,c_186]) ).
tff(c_53546,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51960,c_332]) ).
tff(c_53547,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_51954,c_198,c_51962,c_53546]) ).
tff(c_53557,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53547,c_51960,c_82]) ).
tff(c_53558,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_51954,c_53557]) ).
tff(c_53665,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51960,c_53558,c_53547,c_330]) ).
tff(c_53666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51954,c_198,c_196,c_53665]) ).
tff(c_53667,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_51959]) ).
tff(c_53671,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_53667]) ).
tff(c_53675,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53671,c_110]) ).
tff(c_53669,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_284]) ).
tff(c_53670,plain,
op(e1,e3) != e1,
inference(negUnitSimplification,[status(thm)],[c_39346,c_39336,c_204,c_53669]) ).
tff(c_54385,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_62]) ).
tff(c_54386,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_54385]) ).
tff(c_54387,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_54386]) ).
tff(c_54393,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54387,c_134]) ).
tff(c_54432,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_228]) ).
tff(c_54433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_53670,c_54393,c_54432]) ).
tff(c_54434,plain,
( ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_54386]) ).
tff(c_54449,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_54434]) ).
tff(c_54455,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54449,c_114]) ).
tff(c_54487,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_54455,c_39334,c_39346,c_14]) ).
tff(c_53668,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_51959]) ).
tff(c_53682,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53668,c_16]) ).
tff(c_53683,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_53682]) ).
tff(c_53687,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53683,c_190]) ).
tff(c_51949,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_164]) ).
tff(c_53685,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53683,c_182]) ).
tff(c_53708,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53671,c_46]) ).
tff(c_53709,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_53708]) ).
tff(c_53710,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_53709]) ).
tff(c_53725,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53710,c_53671,c_38]) ).
tff(c_53726,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_53725]) ).
tff(c_53727,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_53726]) ).
tff(c_53732,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53727,c_124]) ).
tff(c_53689,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53683,c_120]) ).
tff(c_53750,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53689,c_39334,c_39346,c_14]) ).
tff(c_53713,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53710,c_152]) ).
tff(c_53733,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53727,c_128]) ).
tff(c_53695,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53683,c_82]) ).
tff(c_53696,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_51954,c_53695]) ).
tff(c_53697,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_53696]) ).
tff(c_53761,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53697,c_53683,c_86]) ).
tff(c_53762,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_53733,c_202,c_53761]) ).
tff(c_53804,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53762,c_51948,c_48]) ).
tff(c_53805,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_53713,c_53804]) ).
tff(c_53830,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_53750,c_53805,c_70]) ).
tff(c_53831,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_53732,c_194,c_202,c_53830]) ).
tff(c_53832,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_53726]) ).
tff(c_53958,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_53832,c_48]) ).
tff(c_53959,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_53685,c_200,c_202,c_53958]) ).
tff(c_53963,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53959,c_172]) ).
tff(c_53839,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53832,c_104]) ).
tff(c_53864,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53697,c_53683,c_86]) ).
tff(c_53865,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_53839,c_53864]) ).
tff(c_53869,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53865,c_132]) ).
tff(c_53853,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53689,c_39334,c_39346,c_14]) ).
tff(c_53858,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53853,c_174]) ).
tff(c_53997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53963,c_39336,c_53869,c_53858,c_22]) ).
tff(c_53999,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_53709]) ).
tff(c_53998,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_53709]) ).
tff(c_54000,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_53998]) ).
tff(c_54012,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54000,c_53671,c_236]) ).
tff(c_54013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_53670,c_53999,c_54012]) ).
tff(c_54014,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_53998]) ).
tff(c_54026,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53671,c_54014,c_236]) ).
tff(c_54027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_204,c_53999,c_54026]) ).
tff(c_54028,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_53696]) ).
tff(c_54069,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54028,c_53683,c_86]) ).
tff(c_54070,plain,
( ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_54069]) ).
tff(c_54071,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_54070]) ).
tff(c_54040,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53671,c_236]) ).
tff(c_54041,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_53670,c_54040]) ).
tff(c_54131,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54071,c_39333,c_54041,c_84]) ).
tff(c_54132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_51949,c_200,c_54131]) ).
tff(c_54133,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_54070]) ).
tff(c_54146,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54133,c_53683,c_54028,c_332]) ).
tff(c_54147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_53687,c_54146]) ).
tff(c_54148,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_53682]) ).
tff(c_54150,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_54148]) ).
tff(c_54157,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54150,c_120]) ).
tff(c_54308,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_54157,c_14]) ).
tff(c_54367,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54308,c_39333,c_300]) ).
tff(c_54368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51952,c_202,c_39336,c_204,c_54367]) ).
tff(c_54369,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_54148]) ).
tff(c_54377,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54369,c_186]) ).
tff(c_54718,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54449,c_51948,c_54]) ).
tff(c_54719,plain,
( ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_54718]) ).
tff(c_54720,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_54719]) ).
tff(c_54724,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54720,c_168]) ).
tff(c_54454,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54449,c_162]) ).
tff(c_54436,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54369,c_82]) ).
tff(c_54437,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_51954,c_54436]) ).
tff(c_54438,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_54437]) ).
tff(c_54442,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54438,c_192]) ).
tff(c_54514,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54377,c_54442,c_24]) ).
tff(c_54515,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_54514]) ).
tff(c_54518,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54515,c_184]) ).
tff(c_54464,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53671,c_46]) ).
tff(c_54465,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_54464]) ).
tff(c_54466,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_54465]) ).
tff(c_54469,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54466,c_152]) ).
tff(c_54470,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54466,c_156]) ).
tff(c_54500,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54470,c_53670,c_18]) ).
tff(c_54501,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_54500]) ).
tff(c_54506,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54501,c_124]) ).
tff(c_54554,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_54487,c_70]) ).
tff(c_54555,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_54506,c_194,c_54554]) ).
tff(c_54600,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54555,c_51948,c_48]) ).
tff(c_54601,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54518,c_202,c_200,c_54469,c_54600]) ).
tff(c_54602,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_54514]) ).
tff(c_54628,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54602,c_54501,c_80]) ).
tff(c_54629,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_54454,c_202,c_54628]) ).
tff(c_54653,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_54629,c_54487,c_70]) ).
tff(c_54654,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_54653]) ).
tff(c_54701,plain,
( ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54654,c_54487,c_54629,c_54602,c_298]) ).
tff(c_54702,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_54701]) ).
tff(c_54703,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_54500]) ).
tff(c_54729,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54703,c_72]) ).
tff(c_54730,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_54377,c_54724,c_194,c_54729]) ).
tff(c_54867,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54487,c_54730,c_39333,c_300]) ).
tff(c_54868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51952,c_194,c_198,c_204,c_54867]) ).
tff(c_54870,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_54719]) ).
tff(c_54934,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54438,c_39333,c_54466,c_88]) ).
tff(c_54935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_54870,c_202,c_54934]) ).
tff(c_54937,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_54465]) ).
tff(c_54936,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_54465]) ).
tff(c_54938,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_54936]) ).
tff(c_54953,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54938,c_51948,c_228]) ).
tff(c_54954,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_53670,c_54937,c_54953]) ).
tff(c_54955,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_54936]) ).
tff(c_54967,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54955,c_53671,c_38]) ).
tff(c_54968,plain,
( ( op(e3,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_54967]) ).
tff(c_54969,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_54968]) ).
tff(c_54984,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_54955,c_54969,c_228]) ).
tff(c_54985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_204,c_202,c_54984]) ).
tff(c_54987,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_54968]) ).
tff(c_54444,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54438,c_140]) ).
tff(c_55081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_54937,c_39332,c_54987,c_54444,c_26]) ).
tff(c_55082,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_54434]) ).
tff(c_55094,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55082,c_51948,c_58]) ).
tff(c_55095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39338,c_204,c_53675,c_196,c_55094]) ).
tff(c_55097,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_54437]) ).
tff(c_55125,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53671,c_46]) ).
tff(c_55126,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_55125]) ).
tff(c_55127,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_55126]) ).
tff(c_55192,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_55127,c_84]) ).
tff(c_55193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55097,c_196,c_51949,c_200,c_55192]) ).
tff(c_55195,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_55126]) ).
tff(c_55194,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_55126]) ).
tff(c_55196,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_55194]) ).
tff(c_55212,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55196,c_51948,c_228]) ).
tff(c_55213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_53670,c_55195,c_55212]) ).
tff(c_55214,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_55194]) ).
tff(c_55242,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_55214,c_228]) ).
tff(c_55243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_204,c_55195,c_55242]) ).
tff(c_55244,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_53667]) ).
tff(c_55245,plain,
op(e2,e3) != e1,
inference(splitRight,[status(thm)],[c_53667]) ).
tff(c_55256,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_55245,c_10]) ).
tff(c_55257,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_55256]) ).
tff(c_55259,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55257,c_154]) ).
tff(c_55286,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55257,c_236]) ).
tff(c_55287,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_53670,c_55259,c_55286]) ).
tff(c_55288,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_55256]) ).
tff(c_55290,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_55288]) ).
tff(c_55296,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55290,c_112]) ).
tff(c_55302,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39334,c_39346,c_55296,c_14]) ).
tff(c_55308,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55302,c_120]) ).
tff(c_55297,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55290,c_116]) ).
tff(c_55317,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_55308,c_53668,c_55297,c_16]) ).
tff(c_55323,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55317,c_190]) ).
tff(c_55331,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55290,c_38]) ).
tff(c_55332,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_55331]) ).
tff(c_55333,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_55332]) ).
tff(c_55346,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_55333,c_228]) ).
tff(c_55347,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_53670,c_202,c_55346]) ).
tff(c_55349,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_55332]) ).
tff(c_55371,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55244,c_51948,c_62]) ).
tff(c_55372,plain,
( ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_55371]) ).
tff(c_55373,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_55372]) ).
tff(c_55396,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_55373,c_88]) ).
tff(c_55397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55323,c_198,c_202,c_55349,c_55396]) ).
tff(c_55398,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_55372]) ).
tff(c_55403,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55398,c_122]) ).
tff(c_55348,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_55332]) ).
tff(c_55351,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_55348]) ).
tff(c_55354,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55351,c_148]) ).
tff(c_55295,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55290,c_150]) ).
tff(c_55495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55403,c_53670,c_55354,c_55295,c_18]) ).
tff(c_55496,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_55348]) ).
tff(c_55502,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55496,c_122]) ).
tff(c_55527,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55244,c_51948,c_54]) ).
tff(c_55528,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_55502,c_198,c_194,c_55527]) ).
tff(c_55577,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55528,c_55244,c_51948,c_62]) ).
tff(c_55578,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_55577]) ).
tff(c_55583,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55578,c_130]) ).
tff(c_55544,plain,
( ( op(e3,e0) = e1 )
| ( e2 = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55317,c_90]) ).
tff(c_55545,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_198,c_55544]) ).
tff(c_55546,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_55545]) ).
tff(c_55563,plain,
( ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55302,c_55546,c_298]) ).
tff(c_55564,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51952,c_202,c_39336,c_55563]) ).
tff(c_55566,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_55545]) ).
tff(c_55322,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55317,c_186]) ).
tff(c_55623,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_55583,c_55566,c_55322,c_24]) ).
tff(c_55628,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55623,c_132]) ).
tff(c_55503,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55496,c_124]) ).
tff(c_55646,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_55302,c_70]) ).
tff(c_55647,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_55503,c_202,c_55646]) ).
tff(c_55663,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_55302,c_55647,c_66]) ).
tff(c_55664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_55628,c_200,c_194,c_55663]) ).
tff(c_55665,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_55288]) ).
tff(c_55766,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55680,c_55244,c_55665,c_52]) ).
tff(c_55767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55694,c_200,c_196,c_194,c_55766]) ).
tff(c_55769,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_55681]) ).
tff(c_55801,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51948,c_228]) ).
tff(c_55802,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_53670,c_55801]) ).
tff(c_55815,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_55802,c_84]) ).
tff(c_55816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55769,c_196,c_51949,c_200,c_55815]) ).
tff(c_55817,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_55679]) ).
tff(c_56137,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55817,c_39333,c_300]) ).
tff(c_56138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51952,c_194,c_39336,c_204,c_56137]) ).
tff(c_56140,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_264]) ).
tff(c_56145,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_114]) ).
tff(c_56139,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_264]) ).
tff(c_57839,plain,
( ( op(e3,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56145,c_56139]) ).
tff(c_57840,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_57839]) ).
tff(c_57843,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_166]) ).
tff(c_61335,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64]) ).
tff(c_61336,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_57843,c_61335]) ).
tff(c_61337,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_61336]) ).
tff(c_61339,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61337,c_182]) ).
tff(c_61342,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61337,c_116]) ).
tff(c_61563,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61337,c_56140,c_60]) ).
tff(c_61564,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_61563]) ).
tff(c_61565,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_61564]) ).
tff(c_61572,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61565,c_110]) ).
tff(c_56144,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_112]) ).
tff(c_57845,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_142]) ).
tff(c_61566,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_57845,c_29807,c_32]) ).
tff(c_61567,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_61566]) ).
tff(c_61650,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61567,c_39333,c_57840,c_84]) ).
tff(c_61651,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_61650]) ).
tff(c_61655,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61651,c_154]) ).
tff(c_61729,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61342,c_61572,c_56144,c_61655,c_10]) ).
tff(c_61730,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_61566]) ).
tff(c_61768,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61730,c_61337,c_90]) ).
tff(c_61769,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_61768]) ).
tff(c_61770,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_61769]) ).
tff(c_61773,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61770,c_184]) ).
tff(c_56142,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_170]) ).
tff(c_61340,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61337,c_186]) ).
tff(c_57844,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_168]) ).
tff(c_57846,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_134]) ).
tff(c_56143,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_174]) ).
tff(c_56151,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_56154,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56151,c_192]) ).
tff(c_56146,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_120]) ).
tff(c_56162,plain,
( ( op(e3,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_56145,c_56139]) ).
tff(c_56163,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_56162]) ).
tff(c_56168,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56163,c_142]) ).
tff(c_56152,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56151,c_184]) ).
tff(c_57241,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56151,c_90]) ).
tff(c_57242,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_196,c_57241]) ).
tff(c_57243,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_57242]) ).
tff(c_56169,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56163,c_134]) ).
tff(c_56706,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56169,c_39332,c_26]) ).
tff(c_56707,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_56706]) ).
tff(c_56712,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56707,c_140]) ).
tff(c_56720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56168,c_29807,c_56712,c_56154,c_32]) ).
tff(c_56721,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_56706]) ).
tff(c_57271,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_56163,c_56721,c_88]) ).
tff(c_57272,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_57271]) ).
tff(c_57323,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57243,c_56151,c_57272,c_332]) ).
tff(c_57324,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56152,c_198,c_196,c_202,c_57323]) ).
tff(c_57325,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_57242]) ).
tff(c_57365,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57325,c_56151,c_332]) ).
tff(c_57366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_56146,c_196,c_56168,c_57365]) ).
tff(c_57367,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_56162]) ).
tff(c_57369,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57367,c_164]) ).
tff(c_57530,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_84]) ).
tff(c_57531,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_56154,c_196,c_57369,c_57530]) ).
tff(c_57534,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57531,c_154]) ).
tff(c_57368,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_56162]) ).
tff(c_57389,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_57390,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_57389]) ).
tff(c_57396,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57390,c_146]) ).
tff(c_57438,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64]) ).
tff(c_57439,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_57396,c_57438]) ).
tff(c_57440,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_57439]) ).
tff(c_57446,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57440,c_118]) ).
tff(c_57394,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57390,c_100]) ).
tff(c_57420,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_56140,c_78]) ).
tff(c_57421,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_57394,c_57420]) ).
tff(c_57426,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57421,c_126]) ).
tff(c_57392,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57390,c_152]) ).
tff(c_57402,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57390,c_236]) ).
tff(c_57403,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_56144,c_57392,c_57402]) ).
tff(c_57408,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57403,c_122]) ).
tff(c_56156,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56151,c_130]) ).
tff(c_57463,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_57426,c_57408,c_56156,c_20]) ).
tff(c_57495,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57463,c_57367,c_62]) ).
tff(c_57496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57368,c_202,c_57446,c_200,c_57495]) ).
tff(c_57498,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_57439]) ).
tff(c_56153,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56151,c_186]) ).
tff(c_57564,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_57498,c_56146,c_56153,c_16]) ).
tff(c_57497,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_57439]) ).
tff(c_57591,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57564,c_56140,c_57497,c_52]) ).
tff(c_57592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_57534,c_57591]) ).
tff(c_57593,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_57389]) ).
tff(c_57595,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_57593]) ).
tff(c_57599,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_57595,c_148]) ).
tff(c_57610,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56151,c_72]) ).
tff(c_57611,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_56143,c_57599,c_57610]) ).
tff(c_57621,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57611,c_57367,c_62]) ).
tff(c_57622,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_57368,c_202,c_200,c_57621]) ).
tff(c_57626,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57622,c_110]) ).
tff(c_57647,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57595,c_46]) ).
tff(c_57648,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_57626,c_202,c_57647]) ).
tff(c_57649,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_57648]) ).
tff(c_57690,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57649,c_84]) ).
tff(c_57691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56154,c_196,c_57369,c_200,c_57690]) ).
tff(c_57692,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_57648]) ).
tff(c_57713,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_84]) ).
tff(c_57714,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_56154,c_196,c_57369,c_57713]) ).
tff(c_57734,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57595,c_57367,c_57692,c_57714,c_228]) ).
tff(c_57735,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_57734]) ).
tff(c_57736,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_57593]) ).
tff(c_57741,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57736,c_148]) ).
tff(c_57765,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57736,c_236]) ).
tff(c_57766,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_196,c_56144,c_57741,c_57765]) ).
tff(c_57835,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57766,c_84]) ).
tff(c_57836,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56154,c_196,c_57369,c_200,c_57835]) ).
tff(c_57837,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_57854,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_57837]) ).
tff(c_57859,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57854,c_124]) ).
tff(c_58185,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_39336,c_56143,c_57859,c_22]) ).
tff(c_58189,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58185,c_172]) ).
tff(c_57865,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64]) ).
tff(c_57866,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_57843,c_57865]) ).
tff(c_57867,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_57866]) ).
tff(c_57869,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57867,c_182]) ).
tff(c_57872,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57867,c_116]) ).
tff(c_57881,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_57882,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_57881]) ).
tff(c_57856,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57854,c_156]) ).
tff(c_57961,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57840,c_84]) ).
tff(c_57962,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_57856,c_57961]) ).
tff(c_57995,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57962,c_39333,c_57840,c_88]) ).
tff(c_57996,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_57995]) ).
tff(c_58016,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57882,c_57854,c_57996,c_236]) ).
tff(c_58017,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_56144,c_196,c_202,c_58016]) ).
tff(c_58018,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_57881]) ).
tff(c_58020,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_58018]) ).
tff(c_58062,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57854,c_58020,c_46]) ).
tff(c_58063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57846,c_200,c_57872,c_202,c_58062]) ).
tff(c_58064,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_58018]) ).
tff(c_58072,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58064,c_104]) ).
tff(c_57842,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_164]) ).
tff(c_58083,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58064,c_40]) ).
tff(c_58084,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56142,c_198,c_58083]) ).
tff(c_58085,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_58084]) ).
tff(c_58099,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58085,c_58064,c_48]) ).
tff(c_58100,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_57842,c_204,c_58099]) ).
tff(c_58103,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58100,c_172]) ).
tff(c_58138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58103,c_39336,c_56143,c_57859,c_22]) ).
tff(c_58140,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_58084]) ).
tff(c_58163,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_57869,c_58072,c_58140,c_8]) ).
tff(c_58169,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58163,c_108]) ).
tff(c_58213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58189,c_39335,c_56142,c_58169,c_6]) ).
tff(c_58215,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_57866]) ).
tff(c_58214,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_57866]) ).
tff(c_58219,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58214,c_146]) ).
tff(c_58229,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_58219,c_381,c_2]) ).
tff(c_58230,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_58229]) ).
tff(c_58447,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57854,c_58214,c_58230,c_38]) ).
tff(c_58448,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_58447]) ).
tff(c_58226,plain,
( ( op(e3,e0) != e3 )
| ( e3 = e1 )
| ( op(e3,e2) != e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57854,c_226]) ).
tff(c_58227,plain,
( ( op(e3,e0) != e3 )
| ( op(e3,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_58226]) ).
tff(c_58228,plain,
op(e3,e2) != e3,
inference(splitLeft,[status(thm)],[c_58227]) ).
tff(c_58267,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58230,c_40]) ).
tff(c_58268,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56142,c_198,c_58267]) ).
tff(c_58269,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_58268]) ).
tff(c_58348,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58269,c_58230,c_36]) ).
tff(c_58349,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_58228,c_196,c_58348]) ).
tff(c_58272,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58269,c_188]) ).
tff(c_58299,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57840,c_88]) ).
tff(c_58300,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_58272,c_198,c_202,c_58299]) ).
tff(c_58409,plain,
( ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58230,c_58214,c_58349,c_58300,c_232]) ).
tff(c_58410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_58409]) ).
tff(c_58412,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_58268]) ).
tff(c_57838,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_58424,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_57838,c_24]) ).
tff(c_58425,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_58424]) ).
tff(c_58436,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58425,c_86]) ).
tff(c_58437,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_56146,c_58412,c_58436]) ).
tff(c_58442,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58437,c_140]) ).
tff(c_58457,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_58448,c_58442]) ).
tff(c_58458,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_58424]) ).
tff(c_58460,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_58458]) ).
tff(c_58465,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58460,c_192]) ).
tff(c_58472,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_57845,c_29807,c_58465,c_32]) ).
tff(c_58476,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58472,c_188]) ).
tff(c_58236,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58230,c_104]) ).
tff(c_58496,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58472,c_58460,c_90]) ).
tff(c_58497,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_58236,c_58496]) ).
tff(c_58607,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58497,c_58460,c_58472,c_332]) ).
tff(c_58608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58476,c_198,c_198,c_200,c_58607]) ).
tff(c_58609,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_58458]) ).
tff(c_58615,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_58609,c_186]) ).
tff(c_57858,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57854,c_122]) ).
tff(c_58244,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_50]) ).
tff(c_58245,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_57858,c_58228,c_58244]) ).
tff(c_58250,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58245,c_118]) ).
tff(c_58752,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58215,c_58615,c_56146,c_58250,c_16]) ).
tff(c_58753,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_58229]) ).
tff(c_58757,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58753,c_152]) ).
tff(c_58767,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57840,c_84]) ).
tff(c_58768,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_57856,c_58767]) ).
tff(c_58836,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58768,c_39333,c_57840,c_88]) ).
tff(c_58837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_58757,c_58836]) ).
tff(c_58839,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_58227]) ).
tff(c_58863,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58839,c_40]) ).
tff(c_58864,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56142,c_194,c_58863]) ).
tff(c_58865,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_58864]) ).
tff(c_58871,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58865,c_104]) ).
tff(c_58904,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_58219,c_58871,c_381,c_2]) ).
tff(c_58916,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58865,c_58839,c_58904,c_48]) ).
tff(c_58917,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_58916]) ).
tff(c_58921,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58917,c_172]) ).
tff(c_58932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58921,c_39336,c_56143,c_57859,c_22]) ).
tff(c_58933,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_58864]) ).
tff(c_58937,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58933,c_152]) ).
tff(c_59007,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57846,c_39332,c_58937,c_57856,c_26]) ).
tff(c_59008,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_57837]) ).
tff(c_59010,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_59008]) ).
tff(c_59023,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64]) ).
tff(c_59024,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_57843,c_59023]) ).
tff(c_59025,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_59024]) ).
tff(c_59028,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59025,c_186]) ).
tff(c_59027,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59025,c_182]) ).
tff(c_59036,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_57846,c_39332,c_26]) ).
tff(c_59037,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_59036]) ).
tff(c_59041,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59037,c_152]) ).
tff(c_59048,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59041,c_381,c_2]) ).
tff(c_59049,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_59048]) ).
tff(c_59053,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59049,c_100]) ).
tff(c_59124,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_59010,c_56140,c_78]) ).
tff(c_59125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_59053,c_59124]) ).
tff(c_59126,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_59048]) ).
tff(c_59131,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59126,c_148]) ).
tff(c_59042,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59037,c_156]) ).
tff(c_59009,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_57837]) ).
tff(c_59365,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_59131,c_59042,c_59009,c_18]) ).
tff(c_59418,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59126,c_59365,c_59037,c_236]) ).
tff(c_59419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_56144,c_204,c_202,c_59418]) ).
tff(c_59420,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_59036]) ).
tff(c_59430,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59420,c_140]) ).
tff(c_59437,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_57845,c_29807,c_59430,c_32]) ).
tff(c_59441,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59437,c_188]) ).
tff(c_59447,plain,
( ( op(e3,e0) != e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_56144,c_234]) ).
tff(c_59448,plain,
op(e3,e0) != e3,
inference(splitLeft,[status(thm)],[c_59447]) ).
tff(c_59588,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_59027,c_59441,c_59448,c_8]) ).
tff(c_59592,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59588,c_184]) ).
tff(c_59442,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59437,c_192]) ).
tff(c_59602,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59028,c_59592,c_59442,c_57838,c_24]) ).
tff(c_59603,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_59447]) ).
tff(c_59610,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59603,c_128]) ).
tff(c_59604,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_59447]) ).
tff(c_59656,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59437,c_59025,c_59604,c_90]) ).
tff(c_59657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_59610,c_204,c_196,c_59656]) ).
tff(c_59658,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_59024]) ).
tff(c_59663,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59658,c_150]) ).
tff(c_59670,plain,
( ( op(e1,e0) != e1 )
| ( e3 = e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_274]) ).
tff(c_59671,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_59670]) ).
tff(c_59672,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_59671]) ).
tff(c_59662,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59658,c_146]) ).
tff(c_59676,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_72]) ).
tff(c_59677,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_59676]) ).
tff(c_59678,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_59677]) ).
tff(c_59684,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59678,c_128]) ).
tff(c_59805,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59663,c_59672,c_59684,c_59009,c_18]) ).
tff(c_59806,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_59677]) ).
tff(c_59809,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_59806]) ).
tff(c_59813,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59809,c_148]) ).
tff(c_59821,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_59662,c_59813,c_381,c_2]) ).
tff(c_59814,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59809,c_156]) ).
tff(c_59847,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_57846,c_39332,c_59814,c_26]) ).
tff(c_60122,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59821,c_59658,c_59809,c_59847,c_236]) ).
tff(c_60123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_60122]) ).
tff(c_60125,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_59806]) ).
tff(c_60331,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59663,c_59672,c_60125,c_59009,c_18]) ).
tff(c_60333,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_59671]) ).
tff(c_61074,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_60333,c_72]) ).
tff(c_61075,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_61074]) ).
tff(c_61076,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_61075]) ).
tff(c_61187,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61076,c_59010,c_60333,c_80]) ).
tff(c_61188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_57844,c_204,c_61187]) ).
tff(c_61189,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_61075]) ).
tff(c_61195,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61189,c_160]) ).
tff(c_59014,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_126]) ).
tff(c_60360,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_50]) ).
tff(c_60361,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_59014,c_60360]) ).
tff(c_60362,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_60361]) ).
tff(c_60346,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_57845,c_29807,c_32]) ).
tff(c_60347,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_60346]) ).
tff(c_60352,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60347,c_192]) ).
tff(c_60381,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_60333,c_72]) ).
tff(c_60382,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_60352,c_194,c_198,c_60381]) ).
tff(c_60386,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60382,c_160]) ).
tff(c_60365,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60362,c_158]) ).
tff(c_60537,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_57842,c_60386,c_60365,c_4]) ).
tff(c_374,plain,
( ( op(e0,e0) != e2 )
| ( op(op(op(e0,e0),op(e0,e0)),op(e0,e0)) != e1 )
| ( op(op(e0,e0),op(e0,e0)) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_772]) ).
tff(c_60684,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60362,c_60347,c_60347,c_60537,c_60362,c_60347,c_60347,c_60347,c_60347,c_374]) ).
tff(c_60685,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_60361]) ).
tff(c_60350,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60347,c_188]) ).
tff(c_60713,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60685,c_40]) ).
tff(c_60714,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_60350,c_56142,c_194,c_60713]) ).
tff(c_60725,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60685,c_60714,c_48]) ).
tff(c_60726,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_60725]) ).
tff(c_60727,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_60726]) ).
tff(c_60731,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60727,c_184]) ).
tff(c_60702,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_60333,c_72]) ).
tff(c_60703,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_60352,c_194,c_198,c_60702]) ).
tff(c_60832,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_60703,c_60333,c_80]) ).
tff(c_60833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60731,c_200,c_202,c_204,c_60832]) ).
tff(c_60835,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_60726]) ).
tff(c_60692,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60685,c_106]) ).
tff(c_61007,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_60835,c_60350,c_60692,c_8]) ).
tff(c_59659,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_59024]) ).
tff(c_60889,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59659,c_56146,c_16]) ).
tff(c_60890,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_60889]) ).
tff(c_60895,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60890,c_118]) ).
tff(c_60688,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60685,c_158]) ).
tff(c_60951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57843,c_60895,c_56145,c_60688,c_12]) ).
tff(c_60952,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_60889]) ).
tff(c_60339,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_60333,c_128]) ).
tff(c_60990,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_60339,c_60352,c_57838,c_24]) ).
tff(c_61047,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61007,c_60952,c_60990,c_60347,c_332]) ).
tff(c_61048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_202,c_61047]) ).
tff(c_61049,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_60346]) ).
tff(c_61056,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61049,c_140]) ).
tff(c_61065,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_57846,c_39332,c_61056,c_26]) ).
tff(c_61069,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61065,c_152]) ).
tff(c_61203,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_56142,c_61195,c_61069,c_40]) ).
tff(c_61292,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59010,c_61189,c_60333,c_80]) ).
tff(c_61293,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_61292]) ).
tff(c_61321,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61203,c_57840,c_61293,c_61049,c_324]) ).
tff(c_61322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_61321]) ).
tff(c_61323,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_59008]) ).
tff(c_61348,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61323,c_80]) ).
tff(c_61349,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_61348]) ).
tff(c_61350,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_61349]) ).
tff(c_61351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61340,c_61350]) ).
tff(c_61352,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_61349]) ).
tff(c_61354,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_61352]) ).
tff(c_61360,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61354,c_124]) ).
tff(c_61324,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_59008]) ).
tff(c_61543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61360,c_39336,c_56143,c_61324,c_22]) ).
tff(c_61544,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_61352]) ).
tff(c_61549,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61544,c_172]) ).
tff(c_61752,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_61339,c_61549,c_57842,c_48]) ).
tff(c_61787,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61752,c_40]) ).
tff(c_61788,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56142,c_202,c_61787]) ).
tff(c_61789,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_61788]) ).
tff(c_61794,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61789,c_106]) ).
tff(c_61843,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_61323,c_61565,c_54]) ).
tff(c_61844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_61794,c_61843]) ).
tff(c_61846,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_61788]) ).
tff(c_61744,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61730,c_188]) ).
tff(c_61899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61339,c_61773,c_61846,c_61744,c_8]) ).
tff(c_61900,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_61769]) ).
tff(c_61353,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_61349]) ).
tff(c_61901,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_61769]) ).
tff(c_61970,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_61353,c_61901,c_57838,c_24]) ).
tff(c_62030,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61900,c_61337,c_61970,c_61730,c_332]) ).
tff(c_62031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_62030]) ).
tff(c_62032,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_61564]) ).
tff(c_62038,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62032,c_150]) ).
tff(c_62045,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_57845,c_29807,c_32]) ).
tff(c_62046,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_62045]) ).
tff(c_62051,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62046,c_140]) ).
tff(c_62083,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_61323,c_54]) ).
tff(c_62084,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_56145,c_62083]) ).
tff(c_62089,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62084,c_98]) ).
tff(c_62094,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62032,c_38]) ).
tff(c_62095,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_62051,c_198,c_62089,c_62094]) ).
tff(c_62129,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62046,c_39333,c_57840,c_84]) ).
tff(c_62130,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_62129]) ).
tff(c_62163,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62032,c_62095,c_62130,c_236]) ).
tff(c_62164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_198,c_200,c_62163]) ).
tff(c_62165,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_62045]) ).
tff(c_62204,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_61323,c_54]) ).
tff(c_62205,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_56145,c_62204]) ).
tff(c_62210,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62205,c_106]) ).
tff(c_62193,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62165,c_61337,c_90]) ).
tff(c_62194,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_62193]) ).
tff(c_62195,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_62194]) ).
tff(c_62215,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62165,c_62195,c_61337,c_86]) ).
tff(c_62216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_62210,c_62215]) ).
tff(c_62217,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_62194]) ).
tff(c_62230,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62165,c_61337,c_62217,c_86]) ).
tff(c_62231,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_62230]) ).
tff(c_62282,plain,
( ( op(e1,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62231,c_61544,c_61323,c_76]) ).
tff(c_62283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_62038,c_62282]) ).
tff(c_62284,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_61336]) ).
tff(c_62290,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62284,c_146]) ).
tff(c_62299,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_62290,c_381,c_2]) ).
tff(c_62300,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_62299]) ).
tff(c_62328,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62300,c_48]) ).
tff(c_62329,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_57842,c_204,c_62328]) ).
tff(c_62330,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_62329]) ).
tff(c_62335,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62330,c_108]) ).
tff(c_62472,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_62335,c_39335,c_56142,c_6]) ).
tff(c_62370,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57840,c_84]) ).
tff(c_62371,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_62370]) ).
tff(c_62372,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_62371]) ).
tff(c_62375,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62372,c_190]) ).
tff(c_61326,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61323,c_162]) ).
tff(c_62413,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_62284,c_52]) ).
tff(c_62414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62375,c_194,c_61326,c_200,c_62413]) ).
tff(c_62415,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_62371]) ).
tff(c_62573,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62300,c_62284,c_62472,c_62415,c_232]) ).
tff(c_62574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_200,c_62573]) ).
tff(c_62575,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_62329]) ).
tff(c_62306,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62300,c_98]) ).
tff(c_61327,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61323,c_160]) ).
tff(c_62712,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_57842,c_62306,c_61327,c_4]) ).
tff(c_62735,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62575,c_62712,c_62300,c_36]) ).
tff(c_62736,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_62735]) ).
tff(c_62741,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62736,c_188]) ).
tff(c_62285,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_61336]) ).
tff(c_62307,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62300,c_104]) ).
tff(c_62594,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57840,c_88]) ).
tff(c_62595,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_62594]) ).
tff(c_62596,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_62595]) ).
tff(c_62607,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62596,c_90]) ).
tff(c_62608,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_62307,c_62607]) ).
tff(c_62609,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_62608]) ).
tff(c_62615,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62609,c_186]) ).
tff(c_62576,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_62329]) ).
tff(c_62599,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62596,c_188]) ).
tff(c_62631,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_62576,c_62307,c_62599,c_8]) ).
tff(c_62635,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62631,c_182]) ).
tff(c_62661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62285,c_62615,c_56146,c_62635,c_16]) ).
tff(c_62662,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_62608]) ).
tff(c_62668,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62662,c_118]) ).
tff(c_62701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57843,c_62668,c_56145,c_61326,c_12]) ).
tff(c_62702,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_62595]) ).
tff(c_62761,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_57840,c_62702,c_84]) ).
tff(c_62762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62741,c_196,c_200,c_194,c_62761]) ).
tff(c_62763,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_62299]) ).
tff(c_62770,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62763,c_98]) ).
tff(c_62825,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57840,c_61323,c_54]) ).
tff(c_62826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_56145,c_62770,c_62825]) ).
tff(c_62828,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_57839]) ).
tff(c_63888,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64]) ).
tff(c_63889,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_63888]) ).
tff(c_63890,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_63889]) ).
tff(c_63896,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63890,c_118]) ).
tff(c_62827,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_57839]) ).
tff(c_62831,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_160]) ).
tff(c_62839,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56143,c_72]) ).
tff(c_62840,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_62839]) ).
tff(c_62842,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62840,c_184]) ).
tff(c_62834,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_106]) ).
tff(c_63682,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_62842,c_62834,c_8]) ).
tff(c_63683,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_63682]) ).
tff(c_63694,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63683,c_62840,c_332]) ).
tff(c_63695,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_56146,c_198,c_63694]) ).
tff(c_63687,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63683,c_188]) ).
tff(c_63706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63695,c_63687]) ).
tff(c_63707,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_63682]) ).
tff(c_63720,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63707,c_62827,c_40]) ).
tff(c_63721,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_56142,c_194,c_63720]) ).
tff(c_62830,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_158]) ).
tff(c_63131,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_40]) ).
tff(c_63132,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_62842,c_56142,c_194,c_63131]) ).
tff(c_63242,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_63132,c_48]) ).
tff(c_63243,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_63242]) ).
tff(c_63244,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_63243]) ).
tff(c_63270,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62840,c_63244,c_90]) ).
tff(c_63271,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_29807,c_198,c_204,c_63270]) ).
tff(c_62852,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64]) ).
tff(c_62853,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_62852]) ).
tff(c_62854,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_62853]) ).
tff(c_62856,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62854,c_182]) ).
tff(c_62950,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_62856,c_62842,c_62834,c_8]) ).
tff(c_62857,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62854,c_190]) ).
tff(c_62844,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62840,c_192]) ).
tff(c_62939,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_62857,c_29807,c_62844,c_32]) ).
tff(c_63007,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62950,c_62854,c_62840,c_62939,c_332]) ).
tff(c_63008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_63007]) ).
tff(c_63009,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_62853]) ).
tff(c_63011,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_63009]) ).
tff(c_63413,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63271,c_56140,c_63011,c_52]) ).
tff(c_63414,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_62830,c_200,c_63413]) ).
tff(c_63416,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_63243]) ).
tff(c_63429,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62840,c_90]) ).
tff(c_63430,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_198,c_63429]) ).
tff(c_63431,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_63430]) ).
tff(c_63434,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63431,c_182]) ).
tff(c_63444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63416,c_63434,c_62842,c_62834,c_8]) ).
tff(c_63445,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_63430]) ).
tff(c_63468,plain,
( ( op(e0,e0) != e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63445,c_62840,c_330]) ).
tff(c_63469,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_196,c_56146,c_198,c_63468]) ).
tff(c_63013,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_63011,c_154]) ).
tff(c_62829,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_164]) ).
tff(c_63456,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_62828,c_39338,c_62829,c_28]) ).
tff(c_63549,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_63456,c_96]) ).
tff(c_63550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63469,c_204,c_202,c_63013,c_63549]) ).
tff(c_63552,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_63009]) ).
tff(c_63010,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_62853]) ).
tff(c_63711,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_63707,c_182]) ).
tff(c_62846,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62840,c_130]) ).
tff(c_63551,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_63009]) ).
tff(c_63754,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63551,c_62827,c_54]) ).
tff(c_63755,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_62846,c_202,c_194,c_63754]) ).
tff(c_63768,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_63755,c_84]) ).
tff(c_63769,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_63768]) ).
tff(c_63770,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_63769]) ).
tff(c_63775,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63770,c_190]) ).
tff(c_63822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63010,c_63711,c_56146,c_63775,c_16]) ).
tff(c_63823,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_63769]) ).
tff(c_63873,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63823,c_63721,c_46]) ).
tff(c_63874,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_63552,c_202,c_63873]) ).
tff(c_63884,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63721,c_62827,c_63874,c_63823,c_228]) ).
tff(c_63885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_200,c_63884]) ).
tff(c_63886,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_62839]) ).
tff(c_63901,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_63886]) ).
tff(c_63914,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63901,c_57837]) ).
tff(c_63915,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_62831,c_63914]) ).
tff(c_63933,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63890,c_56140,c_60]) ).
tff(c_63934,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_63933]) ).
tff(c_63935,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_63934]) ).
tff(c_64011,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_63915,c_56140,c_78]) ).
tff(c_64012,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_64011]) ).
tff(c_372,plain,
( ( op(e2,e2) != e1 )
| ( op(op(op(e2,e2),op(e2,e2)),op(e2,e2)) != e0 )
| ( op(op(e2,e2),op(e2,e2)) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_766]) ).
tff(c_64239,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63915,c_63935,c_63935,c_64012,c_63935,c_63915,c_63935,c_63935,c_63935,c_372]) ).
tff(c_64241,plain,
op(e2,e2) != e1,
inference(splitRight,[status(thm)],[c_63934]) ).
tff(c_64388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63896,c_64241,c_56145,c_62830,c_12]) ).
tff(c_64389,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_63886]) ).
tff(c_64392,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64389,c_168]) ).
tff(c_64464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62828,c_39338,c_64392,c_62829,c_28]) ).
tff(c_64466,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_63889]) ).
tff(c_62832,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_102]) ).
tff(c_64836,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_63886]) ).
tff(c_64847,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64836,c_57837]) ).
tff(c_64848,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_62831,c_64847]) ).
tff(c_64858,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64848,c_39333,c_292]) ).
tff(c_64859,plain,
op(e1,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_62832,c_196,c_204,c_64858]) ).
tff(c_64878,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64848,c_64836,c_76]) ).
tff(c_64879,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_64859,c_198,c_64878]) ).
tff(c_64883,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64879,c_186]) ).
tff(c_65049,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_64466,c_64883,c_56146,c_16]) ).
tff(c_65054,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65049,c_190]) ).
tff(c_64840,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64836,c_122]) ).
tff(c_64465,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_63889]) ).
tff(c_64467,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_64465]) ).
tff(c_64471,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64467,c_154]) ).
tff(c_64480,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_63886]) ).
tff(c_64596,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64480,c_64467,c_42]) ).
tff(c_64597,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_39332,c_198,c_204,c_64596]) ).
tff(c_64626,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64597,c_62827,c_64480,c_228]) ).
tff(c_64627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_64471,c_64626]) ).
tff(c_64628,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_63886]) ).
tff(c_64702,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56140,c_64467,c_52]) ).
tff(c_64703,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_62830,c_200,c_64702]) ).
tff(c_64733,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64703,c_56140,c_64467,c_60]) ).
tff(c_64734,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_64733]) ).
tff(c_64820,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64628,c_64734,c_62827,c_62]) ).
tff(c_64821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62828,c_202,c_204,c_200,c_64820]) ).
tff(c_64822,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_64465]) ).
tff(c_65003,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64822,c_62827,c_54]) ).
tff(c_65004,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_64840,c_202,c_194,c_65003]) ).
tff(c_64861,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62827,c_64836,c_228]) ).
tff(c_64862,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_64861]) ).
tff(c_65121,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39333,c_65004,c_64862,c_84]) ).
tff(c_65122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65054,c_196,c_194,c_200,c_65121]) ).
tff(c_65123,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_63886]) ).
tff(c_65130,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65123,c_168]) ).
tff(c_65538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62828,c_39338,c_65130,c_62829,c_28]) ).
tff(c_65539,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_39331]) ).
tff(c_65543,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_168]) ).
tff(c_70218,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_268]) ).
tff(c_70219,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_65555,c_65543,c_204,c_70218]) ).
tff(c_70265,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70219,c_65539,c_260]) ).
tff(c_70266,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65555,c_65543,c_204,c_70265]) ).
tff(c_70268,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_65554]) ).
tff(c_70274,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_106]) ).
tff(c_71659,plain,
op(e0,e3) != e0,
inference(splitLeft,[status(thm)],[c_312]) ).
tff(c_70279,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10]) ).
tff(c_71292,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_42]) ).
tff(c_71293,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_39332,c_204,c_71292]) ).
tff(c_71294,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_71293]) ).
tff(c_71299,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71294,c_128]) ).
tff(c_70284,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_112]) ).
tff(c_65542,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_166]) ).
tff(c_70290,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_60]) ).
tff(c_70291,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_65542,c_204,c_70290]) ).
tff(c_70292,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_70291]) ).
tff(c_70298,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70292,c_120]) ).
tff(c_65551,plain,
( ( e1 = e0 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_264]) ).
tff(c_65552,plain,
( ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_65551]) ).
tff(c_65553,plain,
op(e2,e1) != e2,
inference(splitLeft,[status(thm)],[c_65552]) ).
tff(c_70280,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_154]) ).
tff(c_70282,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_150]) ).
tff(c_70485,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_70284,c_70298,c_65553,c_14]) ).
tff(c_70271,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_160]) ).
tff(c_70305,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_70271,c_68]) ).
tff(c_70306,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_70305]) ).
tff(c_70310,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70306,c_132]) ).
tff(c_70317,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_70310,c_22]) ).
tff(c_70318,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_70317]) ).
tff(c_70323,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70318,c_126]) ).
tff(c_70283,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_110]) ).
tff(c_70345,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_62]) ).
tff(c_70346,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_70323,c_70283,c_200,c_70345]) ).
tff(c_70347,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_70317]) ).
tff(c_70349,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_70347]) ).
tff(c_70496,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70485,c_70349,c_284]) ).
tff(c_70497,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_70496]) ).
tff(c_70498,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_70497]) ).
tff(c_70356,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70349,c_124]) ).
tff(c_70312,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70306,c_128]) ).
tff(c_70501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70282,c_70498,c_70356,c_70312,c_18]) ).
tff(c_70502,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_70497]) ).
tff(c_70517,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70502,c_176]) ).
tff(c_70281,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_146]) ).
tff(c_70376,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70281,c_381,c_2]) ).
tff(c_70377,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_70376]) ).
tff(c_70381,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70377,c_148]) ).
tff(c_70461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70282,c_70381,c_70356,c_70312,c_18]) ).
tff(c_70462,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_70376]) ).
tff(c_70569,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_70462,c_48]) ).
tff(c_70570,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_70517,c_200,c_202,c_70569]) ).
tff(c_70580,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70306,c_70292,c_70570,c_86]) ).
tff(c_70581,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_70580]) ).
tff(c_70681,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70570,c_70292,c_70502,c_70581,c_328]) ).
tff(c_70682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_202,c_70681]) ).
tff(c_70683,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_70347]) ).
tff(c_70693,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_70683,c_124]) ).
tff(c_70711,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70281,c_381,c_2]) ).
tff(c_70712,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_70711]) ).
tff(c_70309,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70306,c_192]) ).
tff(c_70822,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_70284,c_70298,c_65553,c_14]) ).
tff(c_70827,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70822,c_178]) ).
tff(c_70855,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_84]) ).
tff(c_70856,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_70309,c_70827,c_196,c_70855]) ).
tff(c_70891,plain,
( ( e3 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70712,c_70279,c_70856,c_236]) ).
tff(c_70892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_70693,c_200,c_70891]) ).
tff(c_70893,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_70711]) ).
tff(c_70934,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70893,c_70268,c_228]) ).
tff(c_70935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_70693,c_70280,c_70934]) ).
tff(c_70936,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_70305]) ).
tff(c_70938,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_70936]) ).
tff(c_70977,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70279,c_70938,c_236]) ).
tff(c_70978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_196,c_70280,c_70977]) ).
tff(c_70979,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_70936]) ).
tff(c_70983,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70979,c_174]) ).
tff(c_71033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70284,c_70298,c_65553,c_70983,c_14]) ).
tff(c_71035,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_70291]) ).
tff(c_71494,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_29807,c_71299,c_71035,c_90]) ).
tff(c_71034,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_70291]) ).
tff(c_71048,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_62]) ).
tff(c_71049,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_70283,c_200,c_71048]) ).
tff(c_71450,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_71049,c_70268,c_54]) ).
tff(c_71451,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_71450]) ).
tff(c_71538,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71034,c_71451,c_70279,c_52]) ).
tff(c_71539,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_71538]) ).
tff(c_71455,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71451,c_118]) ).
tff(c_71505,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71494,c_332]) ).
tff(c_71506,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_196,c_71455,c_71299,c_71505]) ).
tff(c_71620,plain,
( ( op(e1,e0) = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71494,c_71539,c_71506,c_330]) ).
tff(c_71621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_71299,c_71620]) ).
tff(c_71623,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_71293]) ).
tff(c_71622,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_71293]) ).
tff(c_71655,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71622,c_70268,c_228]) ).
tff(c_71656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_71623,c_70280,c_71655]) ).
tff(c_71657,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_10]) ).
tff(c_71660,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_71657]) ).
tff(c_72948,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_38]) ).
tff(c_72949,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_72948]) ).
tff(c_72950,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_72949]) ).
tff(c_73654,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_72950,c_228]) ).
tff(c_73655,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_73654]) ).
tff(c_73429,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_72950,c_228]) ).
tff(c_73430,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_381,c_202,c_73429]) ).
tff(c_73435,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73430,c_124]) ).
tff(c_65540,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_39331]) ).
tff(c_71667,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_116]) ).
tff(c_72962,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_71667,c_16]) ).
tff(c_72963,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_72962]) ).
tff(c_72967,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72963,c_190]) ).
tff(c_72956,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72950,c_140]) ).
tff(c_72954,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72950,c_152]) ).
tff(c_72978,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72954,c_381,c_2]) ).
tff(c_72979,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_72978]) ).
tff(c_73000,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72950,c_71660,c_72979,c_42]) ).
tff(c_73001,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_73000]) ).
tff(c_71672,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_71678,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71672,c_128]) ).
tff(c_71676,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71672,c_132]) ).
tff(c_71673,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71672,c_184]) ).
tff(c_71861,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_48]) ).
tff(c_71862,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_71673,c_200,c_71861]) ).
tff(c_71863,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_71862]) ).
tff(c_71866,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71863,c_176]) ).
tff(c_71674,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71672,c_186]) ).
tff(c_71701,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_64]) ).
tff(c_71702,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_71674,c_200,c_71701]) ).
tff(c_71703,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_71702]) ).
tff(c_71707,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71703,c_178]) ).
tff(c_71768,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( op(e1,e3) != e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71703,c_284]) ).
tff(c_71769,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_71707,c_71768]) ).
tff(c_71770,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_71769]) ).
tff(c_71683,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_38]) ).
tff(c_71684,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_71683]) ).
tff(c_71685,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_71684]) ).
tff(c_71690,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71685,c_156]) ).
tff(c_71664,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_150]) ).
tff(c_71786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71678,c_71770,c_71690,c_71664,c_18]) ).
tff(c_71788,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_71769]) ).
tff(c_71794,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71788,c_124]) ).
tff(c_71787,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_71769]) ).
tff(c_71799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71794,c_71787]) ).
tff(c_71800,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_71702]) ).
tff(c_71805,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71800,c_114]) ).
tff(c_71666,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_112]) ).
tff(c_71813,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_71805,c_65553,c_71666,c_14]) ).
tff(c_71692,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71685,c_136]) ).
tff(c_71925,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71813,c_71863,c_70]) ).
tff(c_71926,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_71692,c_198,c_202,c_71925]) ).
tff(c_71935,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71863,c_71813,c_71926,c_300]) ).
tff(c_71936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_198,c_71866,c_71935]) ).
tff(c_71937,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_71862]) ).
tff(c_71963,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_71685,c_84]) ).
tff(c_71964,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_71963]) ).
tff(c_71965,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_71964]) ).
tff(c_71970,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71965,c_144]) ).
tff(c_70272,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_102]) ).
tff(c_71979,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71813,c_66]) ).
tff(c_71980,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_71970,c_196,c_70272,c_71979]) ).
tff(c_338,plain,
( ( op(e1,e1) != e3 )
| ( op(op(op(e1,e1),op(e1,e1)),op(e1,e1)) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_72189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71937,c_71980,c_71980,c_71685,c_71980,c_71937,c_71980,c_71980,c_71980,c_338]) ).
tff(c_72190,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_71964]) ).
tff(c_71938,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_71862]) ).
tff(c_71817,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_71813,c_170]) ).
tff(c_72248,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_71938,c_71817,c_70272,c_6]) ).
tff(c_72264,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72190,c_71813,c_72248,c_78]) ).
tff(c_72265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_71676,c_204,c_202,c_72264]) ).
tff(c_72266,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_71684]) ).
tff(c_72268,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_72266]) ).
tff(c_72271,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72268,c_148]) ).
tff(c_72448,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_71678,c_72271,c_71664,c_18]) ).
tff(c_72493,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72448,c_71660,c_72268,c_46]) ).
tff(c_72494,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71659,c_204,c_200,c_202,c_72493]) ).
tff(c_72495,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_72266]) ).
tff(c_72501,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72495,c_122]) ).
tff(c_72511,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71660,c_64]) ).
tff(c_72512,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_71674,c_200,c_72511]) ).
tff(c_72513,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_72512]) ).
tff(c_72516,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72513,c_170]) ).
tff(c_72525,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72495,c_71660,c_42]) ).
tff(c_72526,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_39332,c_198,c_196,c_72525]) ).
tff(c_72588,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_72526,c_48]) ).
tff(c_72589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71673,c_72516,c_200,c_204,c_72588]) ).
tff(c_72590,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_72512]) ).
tff(c_72673,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_72590,c_70268,c_54]) ).
tff(c_72674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_72501,c_202,c_194,c_72673]) ).
tff(c_72676,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_72989,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72676,c_24]) ).
tff(c_72990,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_72989]) ).
tff(c_72995,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72990,c_128]) ).
tff(c_73011,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_73001,c_72995]) ).
tff(c_73012,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_72989]) ).
tff(c_73014,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_73012]) ).
tff(c_73018,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73014,c_192]) ).
tff(c_73025,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72967,c_29807,c_72956,c_73018,c_32]) ).
tff(c_73026,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_73012]) ).
tff(c_73246,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72963,c_73026,c_332]) ).
tff(c_73247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70274,c_202,c_198,c_72967,c_73246]) ).
tff(c_73248,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_72978]) ).
tff(c_73252,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73248,c_148]) ).
tff(c_73275,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73248,c_70268,c_72950,c_228]) ).
tff(c_73276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_73252,c_202,c_73275]) ).
tff(c_73277,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_72962]) ).
tff(c_73281,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_73277]) ).
tff(c_73287,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73281,c_118]) ).
tff(c_72675,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_72677,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_72675]) ).
tff(c_72688,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72677,c_71660,c_38]) ).
tff(c_72689,plain,
( ( op(e3,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_72688]) ).
tff(c_72690,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_72689]) ).
tff(c_72720,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72690,c_72677,c_71660,c_42]) ).
tff(c_72721,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_72720]) ).
tff(c_72737,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72721,c_70268,c_72677,c_72690,c_228]) ).
tff(c_72738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_202,c_72737]) ).
tff(c_72739,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_72689]) ).
tff(c_72769,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72677,c_71660,c_72739,c_42]) ).
tff(c_72770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39332,c_204,c_196,c_198,c_72769]) ).
tff(c_72771,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_72675]) ).
tff(c_72773,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_72771]) ).
tff(c_72774,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72773,c_180]) ).
tff(c_72775,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72773,c_172]) ).
tff(c_72776,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72773,c_174]) ).
tff(c_72818,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_72776,c_65553,c_71666,c_14]) ).
tff(c_72822,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72818,c_170]) ).
tff(c_72921,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72775,c_72822,c_70272,c_6]) ).
tff(c_72932,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72921,c_72818,c_72773,c_300]) ).
tff(c_72933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_204,c_72774,c_72932]) ).
tff(c_72934,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_72771]) ).
tff(c_73392,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_72934,c_70268,c_54]) ).
tff(c_73393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_73287,c_194,c_73392]) ).
tff(c_73394,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_73277]) ).
tff(c_73403,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73394,c_120]) ).
tff(c_73514,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_73403,c_65553,c_71666,c_14]) ).
tff(c_73529,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73514,c_74]) ).
tff(c_73530,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_65540,c_73435,c_204,c_73529]) ).
tff(c_73400,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73394,c_186]) ).
tff(c_73410,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_72676,c_73400,c_24]) ).
tff(c_73411,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_73410]) ).
tff(c_73551,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_72950,c_84]) ).
tff(c_73552,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_73551]) ).
tff(c_73553,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_73552]) ).
tff(c_73585,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73394,c_73411,c_73553,c_332]) ).
tff(c_73586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70274,c_198,c_198,c_200,c_73585]) ).
tff(c_73587,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_73552]) ).
tff(c_73630,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73530,c_73514,c_73587,c_300]) ).
tff(c_73631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_73435,c_200,c_73630]) ).
tff(c_73632,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_73410]) ).
tff(c_73637,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_73632,c_192]) ).
tff(c_72935,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_72771]) ).
tff(c_73669,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_48]) ).
tff(c_73670,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_73669]) ).
tff(c_73671,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_73670]) ).
tff(c_73675,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73671,c_108]) ).
tff(c_73701,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73632,c_72934,c_73655,c_72]) ).
tff(c_73702,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_73701]) ).
tff(c_73707,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73702,c_172]) ).
tff(c_73739,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_73675,c_73707,c_70272,c_6]) ).
tff(c_73756,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73671,c_73739,c_70268,c_40]) ).
tff(c_73757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_72954,c_73756]) ).
tff(c_73758,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_73670]) ).
tff(c_73760,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_73758]) ).
tff(c_73764,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73760,c_100]) ).
tff(c_73806,plain,
( ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72935,c_73764,c_78]) ).
tff(c_73807,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_73806]) ).
tff(c_73824,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73807,c_65539,c_72950,c_84]) ).
tff(c_73825,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73637,c_200,c_196,c_194,c_73824]) ).
tff(c_73826,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_73806]) ).
tff(c_72957,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72950,c_136]) ).
tff(c_73787,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73632,c_73394,c_86]) ).
tff(c_73788,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_72956,c_194,c_198,c_73787]) ).
tff(c_73793,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_73788,c_108]) ).
tff(c_73842,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73826,c_70]) ).
tff(c_73843,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72957,c_202,c_73793,c_73842]) ).
tff(c_73870,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73843,c_73826,c_66]) ).
tff(c_73871,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_70272,c_73870]) ).
tff(c_73971,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73655,c_73826,c_73843,c_73871,c_284]) ).
tff(c_73972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_200,c_73971]) ).
tff(c_73973,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_73758]) ).
tff(c_73978,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73973,c_170]) ).
tff(c_73987,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_72934,c_70268,c_54]) ).
tff(c_73988,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_73987]) ).
tff(c_74052,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73394,c_73988,c_71660,c_64]) ).
tff(c_74053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_73978,c_202,c_200,c_74052]) ).
tff(c_74054,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72949]) ).
tff(c_74056,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_74054]) ).
tff(c_74060,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74056,c_100]) ).
tff(c_74586,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74060,c_70272,c_6]) ).
tff(c_74587,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_74586]) ).
tff(c_74591,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74587,c_108]) ).
tff(c_74532,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74056,c_70268,c_228]) ).
tff(c_74533,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_194,c_71659,c_74532]) ).
tff(c_74539,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74533,c_128]) ).
tff(c_74055,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_72949]) ).
tff(c_74066,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65540,c_30]) ).
tff(c_74067,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_74066]) ).
tff(c_74072,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74067,c_144]) ).
tff(c_74070,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74067,c_176]) ).
tff(c_74080,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72676,c_24]) ).
tff(c_74081,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_74080]) ).
tff(c_74087,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74081,c_128]) ).
tff(c_74112,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74056,c_70268,c_228]) ).
tff(c_74113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_74087,c_71659,c_74112]) ).
tff(c_74114,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_74080]) ).
tff(c_74116,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_74114]) ).
tff(c_74128,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74116,c_332]) ).
tff(c_74129,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_70274,c_196,c_74072,c_74128]) ).
tff(c_74145,plain,
( ( op(e3,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74116,c_74129,c_90]) ).
tff(c_74146,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_29807,c_196,c_198,c_74145]) ).
tff(c_74162,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74146,c_70268,c_74056,c_48]) ).
tff(c_74163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_74070,c_200,c_202,c_74162]) ).
tff(c_74164,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_74114]) ).
tff(c_74171,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74164,c_192]) ).
tff(c_74180,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_74072,c_29807,c_74171,c_32]) ).
tff(c_74247,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74180,c_74067,c_65539,c_88]) ).
tff(c_74248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_74055,c_74247]) ).
tff(c_74249,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_74066]) ).
tff(c_74501,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_74249]) ).
tff(c_74507,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74501,c_144]) ).
tff(c_74251,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_32]) ).
tff(c_74252,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_74251]) ).
tff(c_74263,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_74249]) ).
tff(c_74372,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74252,c_74263,c_65539,c_88]) ).
tff(c_74373,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_74055,c_74372]) ).
tff(c_74374,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_74249]) ).
tff(c_74381,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74374,c_180]) ).
tff(c_74059,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74056,c_148]) ).
tff(c_74393,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_72676,c_24]) ).
tff(c_74394,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_74393]) ).
tff(c_74415,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74394,c_72934,c_72]) ).
tff(c_74416,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_74381,c_202,c_74059,c_74415]) ).
tff(c_74417,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_74393]) ).
tff(c_74419,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_74417]) ).
tff(c_74482,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74419,c_72934,c_72]) ).
tff(c_74483,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_74381,c_202,c_74059,c_74482]) ).
tff(c_74484,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_74417]) ).
tff(c_74497,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74252,c_74484,c_82]) ).
tff(c_74498,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_71667,c_70274,c_74497]) ).
tff(c_74499,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_74251]) ).
tff(c_74515,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_74507,c_74499]) ).
tff(c_74559,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74515,c_90]) ).
tff(c_74560,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_74539,c_74559]) ).
tff(c_74561,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_74560]) ).
tff(c_74564,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74561,c_182]) ).
tff(c_74061,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74056,c_104]) ).
tff(c_74634,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74591,c_74564,c_74061,c_70274,c_8]) ).
tff(c_74635,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_74586]) ).
tff(c_74660,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74635,c_70268,c_74056,c_48]) ).
tff(c_74661,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_74660]) ).
tff(c_74521,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74515,c_192]) ).
tff(c_74689,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_72676,c_74539,c_74521,c_24]) ).
tff(c_74697,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74661,c_74561,c_74689,c_74515,c_332]) ).
tff(c_74698,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_202,c_74697]) ).
tff(c_74699,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_74560]) ).
tff(c_74705,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74699,c_108]) ).
tff(c_74725,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_74705,c_74060,c_70272,c_6]) ).
tff(c_74734,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_65553,c_71666,c_14]) ).
tff(c_74735,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_74734]) ).
tff(c_74729,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74725,c_170]) ).
tff(c_74745,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_74735,c_74729]) ).
tff(c_74746,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_74734]) ).
tff(c_74538,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74533,c_124]) ).
tff(c_74506,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_74501,c_180]) ).
tff(c_74548,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_72935,c_74538,c_74506,c_22]) ).
tff(c_74805,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74725,c_74746,c_74548,c_74501,c_300]) ).
tff(c_74806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_198,c_200,c_74805]) ).
tff(c_74807,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_74249]) ).
tff(c_74814,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74807,c_144]) ).
tff(c_74821,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_74814,c_74499]) ).
tff(c_75055,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74821,c_74807,c_65539,c_96]) ).
tff(c_75056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_71659,c_75055]) ).
tff(c_75057,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_74054]) ).
tff(c_75058,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_74054]) ).
tff(c_75069,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_75058,c_381,c_2]) ).
tff(c_75070,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_75069]) ).
tff(c_75080,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75057,c_71660,c_75070,c_42]) ).
tff(c_75081,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_39332,c_198,c_196,c_204,c_75080]) ).
tff(c_75082,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_75069]) ).
tff(c_75129,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75082,c_70268,c_75057,c_228]) ).
tff(c_75130,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_71659,c_75129]) ).
tff(c_75131,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_71657]) ).
tff(c_75135,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_75131]) ).
tff(c_75140,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75135,c_150]) ).
tff(c_76551,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75135,c_236]) ).
tff(c_76552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_198,c_75140,c_71659,c_76551]) ).
tff(c_76553,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_75131]) ).
tff(c_76563,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76553,c_116]) ).
tff(c_76666,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70272,c_65553,c_298]) ).
tff(c_76667,plain,
op(e1,e0) != e1,
inference(splitLeft,[status(thm)],[c_76666]) ).
tff(c_76754,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_70274,c_76563,c_76667,c_332]) ).
tff(c_76808,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76754,c_330]) ).
tff(c_76809,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70274,c_76563,c_76667,c_76808]) ).
tff(c_76811,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_76666]) ).
tff(c_76810,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_76666]) ).
tff(c_76816,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76810,c_132]) ).
tff(c_76834,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76811,c_76816]) ).
tff(c_76836,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_312]) ).
tff(c_76841,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_140]) ).
tff(c_76839,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_152]) ).
tff(c_76840,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_156]) ).
tff(c_79677,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_48]) ).
tff(c_79678,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_76839,c_79677]) ).
tff(c_79679,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_79678]) ).
tff(c_79684,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79679,c_108]) ).
tff(c_76842,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_136]) ).
tff(c_78710,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_65553,c_76842,c_284]) ).
tff(c_78711,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_78710]) ).
tff(c_77060,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_71657]) ).
tff(c_77065,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77060,c_112]) ).
tff(c_294,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) != e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_77082,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_70272,c_65553,c_294]) ).
tff(c_77083,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_77082]) ).
tff(c_77575,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_48]) ).
tff(c_77576,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_76839,c_77575]) ).
tff(c_77577,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_77576]) ).
tff(c_77580,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77577,c_182]) ).
tff(c_76847,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_76849,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76847,c_186]) ).
tff(c_77053,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76847,c_332]) ).
tff(c_77054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70274,c_76849,c_198,c_76841,c_77053]) ).
tff(c_77056,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_77085,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_76841,c_29807,c_32]) ).
tff(c_77086,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_77085]) ).
tff(c_77092,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77086,c_144]) ).
tff(c_77055,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_77071,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_77055]) ).
tff(c_77076,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77071,c_124]) ).
tff(c_77281,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77083,c_77076,c_22]) ).
tff(c_77282,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_77281]) ).
tff(c_77286,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77282,c_172]) ).
tff(c_77074,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77071,c_148]) ).
tff(c_77271,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_76839,c_77074,c_381,c_2]) ).
tff(c_77309,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_77271,c_48]) ).
tff(c_77310,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_77286,c_200,c_204,c_77309]) ).
tff(c_77314,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77310,c_182]) ).
tff(c_77090,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77086,c_190]) ).
tff(c_77201,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_76839,c_77074,c_381,c_2]) ).
tff(c_77218,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_77201,c_48]) ).
tff(c_77219,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_77218]) ).
tff(c_77220,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_77219]) ).
tff(c_77097,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77056,c_24]) ).
tff(c_77098,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_77097]) ).
tff(c_77102,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77098,c_184]) ).
tff(c_77116,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_76839,c_77074,c_381,c_2]) ).
tff(c_77133,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_77116,c_48]) ).
tff(c_77134,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_77102,c_200,c_204,c_77133]) ).
tff(c_77178,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77134,c_70]) ).
tff(c_77179,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77092,c_77076,c_65553,c_202,c_77178]) ).
tff(c_77180,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_77097]) ).
tff(c_77182,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_77180]) ).
tff(c_77230,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77220,c_77182,c_77086,c_332]) ).
tff(c_77231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_77090,c_196,c_202,c_77230]) ).
tff(c_77232,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_77219]) ).
tff(c_77238,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77232,c_172]) ).
tff(c_77187,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77182,c_132]) ).
tff(c_77248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77238,c_77083,c_77076,c_77187,c_22]) ).
tff(c_77249,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_77180]) ).
tff(c_77254,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77249,c_186]) ).
tff(c_77066,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77060,c_116]) ).
tff(c_77398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77314,c_77254,c_77090,c_77066,c_16]) ).
tff(c_77399,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_77281]) ).
tff(c_77403,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77399,c_180]) ).
tff(c_77455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76842,c_65540,c_77092,c_77403,c_30]) ).
tff(c_77456,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_77085]) ).
tff(c_77462,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77456,c_192]) ).
tff(c_77474,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77056,c_77462,c_24]) ).
tff(c_77475,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_77474]) ).
tff(c_77478,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77475,c_184]) ).
tff(c_77512,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_48]) ).
tff(c_77513,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_77478,c_200,c_76839,c_77512]) ).
tff(c_77537,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77513,c_300]) ).
tff(c_77538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_65553,c_77083,c_76842,c_77537]) ).
tff(c_77539,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_77474]) ).
tff(c_77547,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77539,c_186]) ).
tff(c_77075,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77071,c_122]) ).
tff(c_77561,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_54]) ).
tff(c_77562,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_77075,c_194,c_77561]) ).
tff(c_77567,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77562,c_118]) ).
tff(c_77589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77580,c_77547,c_77567,c_77066,c_16]) ).
tff(c_77590,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_77576]) ).
tff(c_77619,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77456,c_65539,c_76836,c_88]) ).
tff(c_77620,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_77619]) ).
tff(c_77636,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77590,c_77620,c_300]) ).
tff(c_77637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_65553,c_77083,c_202,c_77636]) ).
tff(c_77639,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_77082]) ).
tff(c_77889,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_76836,c_88]) ).
tff(c_77890,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_77889]) ).
tff(c_77891,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_77890]) ).
tff(c_77895,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77891,c_190]) ).
tff(c_77683,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_76839,c_77074,c_381,c_2]) ).
tff(c_77688,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77683,c_104]) ).
tff(c_77638,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_77082]) ).
tff(c_77651,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77638,c_77056,c_24]) ).
tff(c_77652,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_77651]) ).
tff(c_77665,plain,
( ( op(e0,e0) = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77652,c_332]) ).
tff(c_77666,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_70274,c_204,c_76841,c_77665]) ).
tff(c_77695,plain,
( ( op(e3,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77652,c_77666,c_90]) ).
tff(c_77696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_29807,c_204,c_198,c_77688,c_77695]) ).
tff(c_77697,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_77651]) ).
tff(c_77704,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77697,c_192]) ).
tff(c_77721,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_76839,c_77074,c_381,c_2]) ).
tff(c_77738,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_77721,c_48]) ).
tff(c_77739,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_77738]) ).
tff(c_77740,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_77739]) ).
tff(c_77743,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77740,c_182]) ).
tff(c_77754,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_77743,c_77066,c_16]) ).
tff(c_77755,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_77754]) ).
tff(c_77765,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_76836,c_88]) ).
tff(c_77766,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_77765]) ).
tff(c_77767,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_77766]) ).
tff(c_77859,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_77755,c_77697,c_77767,c_316]) ).
tff(c_77860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_202,c_77859]) ).
tff(c_77861,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_77766]) ).
tff(c_77885,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77861,c_65539,c_76836,c_84]) ).
tff(c_77886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77704,c_194,c_196,c_200,c_77885]) ).
tff(c_77887,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_77754]) ).
tff(c_77901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77895,c_77887]) ).
tff(c_77902,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_77890]) ).
tff(c_77949,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77639,c_77902,c_296]) ).
tff(c_77950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70272,c_65553,c_202,c_77949]) ).
tff(c_77951,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_77739]) ).
tff(c_77988,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77639,c_77951,c_70]) ).
tff(c_77989,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_65553,c_202,c_77988]) ).
tff(c_78014,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77989,c_77639,c_77951,c_66]) ).
tff(c_78015,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_77065,c_200,c_78014]) ).
tff(c_78017,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_77055]) ).
tff(c_77063,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77060,c_150]) ).
tff(c_78714,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76840,c_78711,c_78017,c_77063,c_18]) ).
tff(c_78716,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_78710]) ).
tff(c_78715,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_78710]) ).
tff(c_78722,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78715,c_124]) ).
tff(c_78736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_78716,c_78722]) ).
tff(c_78737,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_71657]) ).
tff(c_78739,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_78737]) ).
tff(c_78746,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78739,c_116]) ).
tff(c_78769,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_76841,c_29807,c_32]) ).
tff(c_78770,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_78769]) ).
tff(c_78781,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78770,c_65539,c_76836,c_84]) ).
tff(c_78782,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_78781]) ).
tff(c_78795,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_48]) ).
tff(c_78796,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_76839,c_78795]) ).
tff(c_78797,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_78796]) ).
tff(c_78800,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78797,c_182]) ).
tff(c_78774,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78770,c_190]) ).
tff(c_78801,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78797,c_184]) ).
tff(c_78754,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_77055]) ).
tff(c_78759,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78754,c_124]) ).
tff(c_78788,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78782,c_180]) ).
tff(c_78821,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_78759,c_78788,c_22]) ).
tff(c_78822,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_78821]) ).
tff(c_78827,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78822,c_126]) ).
tff(c_78758,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78754,c_122]) ).
tff(c_78810,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_54]) ).
tff(c_78811,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_78758,c_194,c_78810]) ).
tff(c_78883,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_78811,c_70268,c_62]) ).
tff(c_78884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_78827,c_202,c_200,c_78883]) ).
tff(c_78885,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_78821]) ).
tff(c_78893,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78885,c_132]) ).
tff(c_78906,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_78801,c_78893,c_77056,c_24]) ).
tff(c_78910,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78906,c_186]) ).
tff(c_78986,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78800,c_78746,c_78774,c_78910,c_16]) ).
tff(c_78987,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_78796]) ).
tff(c_78991,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78987,c_172]) ).
tff(c_79011,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_78991,c_78759,c_78788,c_22]) ).
tff(c_79053,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78782,c_79011,c_78987,c_70]) ).
tff(c_79054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_65553,c_202,c_79053]) ).
tff(c_79055,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_78769]) ).
tff(c_79076,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79055,c_90]) ).
tff(c_79077,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_78746,c_79076]) ).
tff(c_79078,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_79077]) ).
tff(c_79083,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79078,c_132]) ).
tff(c_78742,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78739,c_146]) ).
tff(c_79096,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_54]) ).
tff(c_79097,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_78758,c_194,c_79096]) ).
tff(c_79102,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79097,c_118]) ).
tff(c_79060,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79055,c_190]) ).
tff(c_79108,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_78746,c_79102,c_79060,c_16]) ).
tff(c_79112,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79108,c_182]) ).
tff(c_79081,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79078,c_184]) ).
tff(c_79135,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_79112,c_79081,c_70274,c_8]) ).
tff(c_79233,plain,
( ( op(e3,e3) = e1 )
| ( e3 = e1 )
| ( op(e3,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79135,c_70268,c_44]) ).
tff(c_79234,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_78742,c_79233]) ).
tff(c_79206,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79108,c_79097,c_78739,c_52]) ).
tff(c_79207,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_79206]) ).
tff(c_79113,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79108,c_120]) ).
tff(c_79123,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79055,c_65539,c_76836,c_88]) ).
tff(c_79124,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_79123]) ).
tff(c_79162,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79124,c_78]) ).
tff(c_79163,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_79113,c_79162]) ).
tff(c_79164,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_79163]) ).
tff(c_79257,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79234,c_79207,c_79164,c_79078,c_298]) ).
tff(c_79258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_79257]) ).
tff(c_79259,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_79163]) ).
tff(c_79305,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79108,c_79097,c_78739,c_52]) ).
tff(c_79306,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_79305]) ).
tff(c_79343,plain,
( ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79259,c_79306,c_79078,c_298]) ).
tff(c_79344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_79083,c_79343]) ).
tff(c_79346,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_79077]) ).
tff(c_79061,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79055,c_192]) ).
tff(c_79371,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_79346,c_77056,c_79061,c_24]) ).
tff(c_79377,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79371,c_130]) ).
tff(c_79358,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_54]) ).
tff(c_79359,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_78758,c_194,c_79358]) ).
tff(c_79436,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_79359,c_70268,c_62]) ).
tff(c_79437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_79377,c_202,c_200,c_79436]) ).
tff(c_79438,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_77055]) ).
tff(c_79440,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_79438]) ).
tff(c_79442,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79440,c_172]) ).
tff(c_79774,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_79684,c_79442,c_70272,c_6]) ).
tff(c_79441,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79440,c_180]) ).
tff(c_79748,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_76842,c_65540,c_79441,c_30]) ).
tff(c_79763,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79748,c_79440,c_78]) ).
tff(c_79764,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_79684,c_79763]) ).
tff(c_79852,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79774,c_79764,c_79440,c_79748,c_300]) ).
tff(c_79853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_79852]) ).
tff(c_79854,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_79678]) ).
tff(c_79883,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_76842,c_65540,c_79441,c_30]) ).
tff(c_80042,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79854,c_79440,c_79883,c_300]) ).
tff(c_80043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_65553,c_198,c_200,c_80042]) ).
tff(c_80044,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_79438]) ).
tff(c_80901,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_80044,c_70268,c_62]) ).
tff(c_80902,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_80901]) ).
tff(c_80907,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80902,c_118]) ).
tff(c_80258,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_76839,c_78742,c_381,c_2]) ).
tff(c_80273,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_80258,c_48]) ).
tff(c_80274,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_80273]) ).
tff(c_80275,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_80274]) ).
tff(c_80279,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80275,c_108]) ).
tff(c_80263,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80258,c_100]) ).
tff(c_80361,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_80279,c_80263,c_70272,c_6]) ).
tff(c_80057,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_76841,c_29807,c_32]) ).
tff(c_80058,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_80057]) ).
tff(c_80064,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80058,c_144]) ).
tff(c_80045,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_79438]) ).
tff(c_78743,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78739,c_150]) ).
tff(c_79439,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_77055]) ).
tff(c_78745,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_78739,c_112]) ).
tff(c_80082,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_78745,c_65553,c_14]) ).
tff(c_80083,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_80082]) ).
tff(c_80088,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80083,c_174]) ).
tff(c_80062,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80058,c_190]) ).
tff(c_80071,plain,
( ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80058,c_332]) ).
tff(c_80072,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_70274,c_80062,c_202,c_80071]) ).
tff(c_80076,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80072,c_132]) ).
tff(c_80112,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_80088,c_80076,c_80045,c_22]) ).
tff(c_80118,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80112,c_124]) ).
tff(c_80132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76840,c_78743,c_79439,c_80118,c_18]) ).
tff(c_80133,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_80082]) ).
tff(c_80147,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_76839,c_78742,c_381,c_2]) ).
tff(c_80162,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_80147,c_48]) ).
tff(c_80163,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_80162]) ).
tff(c_80164,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_80163]) ).
tff(c_80168,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80164,c_182]) ).
tff(c_80141,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80133,c_120]) ).
tff(c_80185,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80168,c_78746,c_80062,c_80141,c_16]) ).
tff(c_80186,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_80163]) ).
tff(c_80226,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80133,c_80186,c_70]) ).
tff(c_80227,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80064,c_80045,c_194,c_202,c_80226]) ).
tff(c_80228,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_80057]) ).
tff(c_80243,plain,
( ( e3 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80228,c_332]) ).
tff(c_80244,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_70274,c_200,c_80243]) ).
tff(c_80245,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_80244]) ).
tff(c_80048,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80044,c_162]) ).
tff(c_70270,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_158]) ).
tff(c_80412,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_65542,c_80048,c_70270,c_12]) ).
tff(c_80423,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80245,c_80412,c_78739,c_52]) ).
tff(c_80424,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_80423]) ).
tff(c_80297,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_76840,c_78743,c_79439,c_18]) ).
tff(c_80301,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80297,c_124]) ).
tff(c_80325,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_80045,c_80301,c_22]) ).
tff(c_80326,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_80325]) ).
tff(c_80309,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80228,c_65539,c_76836,c_88]) ).
tff(c_80310,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_80309]) ).
tff(c_80445,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80361,c_80424,c_80326,c_80310,c_300]) ).
tff(c_80446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_204,c_202,c_80445]) ).
tff(c_80447,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_80325]) ).
tff(c_80451,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80447,c_172]) ).
tff(c_80499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80279,c_80451,c_80263,c_70272,c_6]) ).
tff(c_80500,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_80274]) ).
tff(c_80506,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80500,c_172]) ).
tff(c_80519,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_76840,c_78743,c_79439,c_18]) ).
tff(c_80523,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80519,c_124]) ).
tff(c_80533,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_80506,c_80045,c_80523,c_22]) ).
tff(c_80556,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80533,c_80500,c_70]) ).
tff(c_80557,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_65553,c_202,c_80556]) ).
tff(c_80731,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80500,c_80533,c_80557,c_296]) ).
tff(c_80732,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_65553,c_202,c_80731]) ).
tff(c_80734,plain,
op(e2,e0) != e2,
inference(splitRight,[status(thm)],[c_80244]) ).
tff(c_80233,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_80228,c_190]) ).
tff(c_80942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80907,c_78746,c_80734,c_80233,c_16]) ).
tff(c_80943,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_78737]) ).
tff(c_80947,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80943,c_146]) ).
tff(c_80957,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70268,c_40]) ).
tff(c_80958,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_80947,c_80957]) ).
tff(c_80959,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_80958]) ).
tff(c_81010,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80959,c_90]) ).
tff(c_81011,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_29807,c_198,c_81010]) ).
tff(c_81012,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_81011]) ).
tff(c_81017,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81012,c_128]) ).
tff(c_80948,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80943,c_150]) ).
tff(c_81022,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_76840,c_81017,c_80948,c_18]) ).
tff(c_81027,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81022,c_124]) ).
tff(c_80962,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80959,c_188]) ).
tff(c_81045,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_76836,c_88]) ).
tff(c_81046,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_80962,c_198,c_202,c_81045]) ).
tff(c_80994,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80959,c_70268,c_48]) ).
tff(c_80995,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_76839,c_80994]) ).
tff(c_81126,plain,
( ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81046,c_80995,c_66]) ).
tff(c_81127,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_81027,c_200,c_81126]) ).
tff(c_80971,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_80948,c_77055]) ).
tff(c_80972,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_80971]) ).
tff(c_81072,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_80972,c_70268,c_62]) ).
tff(c_81073,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_81072]) ).
tff(c_81078,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81073,c_118]) ).
tff(c_81014,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81012,c_186]) ).
tff(c_80961,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80959,c_182]) ).
tff(c_81116,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_81078,c_81014,c_80961,c_16]) ).
tff(c_81121,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81116,c_120]) ).
tff(c_81136,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_81127,c_81121]) ).
tff(c_81137,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_81011]) ).
tff(c_81138,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_81011]) ).
tff(c_81148,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_76840,c_80948,c_18]) ).
tff(c_81149,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_81148]) ).
tff(c_81153,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81149,c_124]) ).
tff(c_81162,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_76841,c_29807,c_80962,c_32]) ).
tff(c_81167,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81162,c_144]) ).
tff(c_81177,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_76842,c_65540,c_81167,c_30]) ).
tff(c_81194,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81149,c_81177,c_284]) ).
tff(c_81195,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_65553,c_81153,c_202,c_81194]) ).
tff(c_81196,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_81148]) ).
tff(c_81202,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81196,c_128]) ).
tff(c_81212,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_81138,c_77056,c_81202,c_24]) ).
tff(c_81258,plain,
( ( op(e0,e0) = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_81137,c_81212,c_316]) ).
tff(c_81259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_76841,c_81258]) ).
tff(c_81261,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_80971]) ).
tff(c_80949,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80943,c_110]) ).
tff(c_81309,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_70268,c_54]) ).
tff(c_81310,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_81261,c_80949,c_194,c_81309]) ).
tff(c_81311,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_80958]) ).
tff(c_81342,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81311,c_70268,c_48]) ).
tff(c_81343,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_76839,c_81342]) ).
tff(c_81346,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81343,c_182]) ).
tff(c_80951,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80943,c_116]) ).
tff(c_81348,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81343,c_184]) ).
tff(c_81316,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81311,c_172]) ).
tff(c_81360,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_81316,c_22]) ).
tff(c_81361,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_81360]) ).
tff(c_81421,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81311,c_81361,c_300]) ).
tff(c_81422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_65553,c_204,c_76842,c_81421]) ).
tff(c_81423,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_81360]) ).
tff(c_81425,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_81423]) ).
tff(c_81481,plain,
( ( op(e0,e1) = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81311,c_81425,c_300]) ).
tff(c_81482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_65553,c_196,c_76842,c_81481]) ).
tff(c_81483,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_81423]) ).
tff(c_81489,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81483,c_132]) ).
tff(c_81504,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_81348,c_81489,c_77056,c_24]) ).
tff(c_81508,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81504,c_186]) ).
tff(c_81515,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_81346,c_80951,c_81508,c_16]) ).
tff(c_81527,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76836,c_81515,c_81504,c_316]) ).
tff(c_81528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_76841,c_81527]) ).
tff(c_81530,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_65552]) ).
tff(c_81535,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_114]) ).
tff(c_81534,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_112]) ).
tff(c_81531,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_170]) ).
tff(c_81529,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_65552]) ).
tff(c_81541,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_81535,c_81529]) ).
tff(c_81536,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_120]) ).
tff(c_81565,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_81900,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81565,c_128]) ).
tff(c_81553,plain,
( ( op(e3,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_81534,c_38]) ).
tff(c_81554,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_81553]) ).
tff(c_81574,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81565,c_128]) ).
tff(c_81602,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81554,c_46]) ).
tff(c_81603,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_81574,c_81602]) ).
tff(c_81604,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_81603]) ).
tff(c_81607,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81604,c_146]) ).
tff(c_81557,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81554,c_152]) ).
tff(c_81656,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_81607,c_81557,c_381,c_2]) ).
tff(c_81660,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81656,c_148]) ).
tff(c_81680,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81656,c_81541,c_81554,c_228]) ).
tff(c_81681,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_81660,c_202,c_81680]) ).
tff(c_81682,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_81603]) ).
tff(c_81719,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_81682,c_40]) ).
tff(c_81720,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_81531,c_194,c_202,c_81719]) ).
tff(c_81566,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_60]) ).
tff(c_81567,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_65542,c_81566]) ).
tff(c_81568,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_81567]) ).
tff(c_81689,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81682,c_100]) ).
tff(c_81544,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_160]) ).
tff(c_81589,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81565,c_68]) ).
tff(c_81590,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_81544,c_81589]) ).
tff(c_81591,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_81590]) ).
tff(c_81788,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81591,c_81530,c_78]) ).
tff(c_81789,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_81689,c_81788]) ).
tff(c_81571,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81565,c_192]) ).
tff(c_81559,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81554,c_140]) ).
tff(c_81696,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_81571,c_29807,c_81559,c_32]) ).
tff(c_81848,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81720,c_81568,c_81789,c_81696,c_328]) ).
tff(c_81849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_200,c_81848]) ).
tff(c_81850,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_81590]) ).
tff(c_81891,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_81850,c_81554,c_228]) ).
tff(c_81892,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_202,c_81891]) ).
tff(c_81893,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_81567]) ).
tff(c_81938,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81554,c_81893,c_46]) ).
tff(c_81939,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_81900,c_204,c_81938]) ).
tff(c_81956,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_81939,c_40]) ).
tff(c_81957,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_81531,c_194,c_202,c_81956]) ).
tff(c_81897,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81565,c_192]) ).
tff(c_81917,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_81897,c_29807,c_81559,c_32]) ).
tff(c_82066,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81957,c_81565,c_81917,c_332]) ).
tff(c_82067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_81536,c_204,c_200,c_82066]) ).
tff(c_82068,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_82070,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_82068]) ).
tff(c_82072,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82070,c_148]) ).
tff(c_82123,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_82072,c_81557,c_381,c_2]) ).
tff(c_82162,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82123,c_81541,c_82070,c_81554,c_228]) ).
tff(c_82163,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_202,c_82162]) ).
tff(c_82165,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_82068]) ).
tff(c_82192,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81554,c_46]) ).
tff(c_82193,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_82165,c_82192]) ).
tff(c_82194,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_82193]) ).
tff(c_82197,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82194,c_146]) ).
tff(c_82206,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_82197,c_81557,c_381,c_2]) ).
tff(c_82210,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82206,c_148]) ).
tff(c_82217,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82206,c_82194,c_81554,c_236]) ).
tff(c_82218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_82210,c_202,c_82217]) ).
tff(c_82219,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_82193]) ).
tff(c_82343,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_82219,c_40]) ).
tff(c_82344,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_81531,c_194,c_202,c_82343]) ).
tff(c_82166,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_60]) ).
tff(c_82167,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_65542,c_82166]) ).
tff(c_82168,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_82167]) ).
tff(c_82069,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_82171,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82168,c_186]) ).
tff(c_82220,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_82193]) ).
tff(c_82250,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82168,c_81530,c_64]) ).
tff(c_82251,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_82220,c_82250]) ).
tff(c_82278,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_82251,c_81541,c_54]) ).
tff(c_82279,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_82278]) ).
tff(c_82283,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82279,c_130]) ).
tff(c_82331,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_82069,c_82171,c_82283,c_24]) ).
tff(c_82292,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_81554,c_84]) ).
tff(c_82293,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_82292]) ).
tff(c_82294,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_82293]) ).
tff(c_82298,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82294,c_192]) ).
tff(c_82317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82069,c_82171,c_82283,c_82298,c_24]) ).
tff(c_82319,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_82293]) ).
tff(c_82422,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_29807,c_81559,c_82319,c_32]) ).
tff(c_82492,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82344,c_82168,c_82331,c_82422,c_330]) ).
tff(c_82493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_196,c_82492]) ).
tff(c_82494,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_82167]) ).
tff(c_82498,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82494,c_150]) ).
tff(c_82518,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81554,c_82494,c_46]) ).
tff(c_82519,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_82165,c_204,c_82518]) ).
tff(c_82557,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82519,c_81541,c_81554,c_228]) ).
tff(c_82558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_82498,c_202,c_82557]) ).
tff(c_82559,plain,
( ( op(e1,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_81553]) ).
tff(c_82561,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_82559]) ).
tff(c_82572,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_80]) ).
tff(c_82578,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82572,c_128]) ).
tff(c_82574,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82572,c_186]) ).
tff(c_82585,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_64]) ).
tff(c_82586,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_82574,c_202,c_82585]) ).
tff(c_82587,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_82586]) ).
tff(c_82592,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82587,c_110]) ).
tff(c_82598,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_46]) ).
tff(c_82599,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_82578,c_82592,c_202,c_82598]) ).
tff(c_82605,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82599,c_136]) ).
tff(c_81532,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_178]) ).
tff(c_82612,plain,
( ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_82587,c_60]) ).
tff(c_82613,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_82612]) ).
tff(c_82614,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_82613]) ).
tff(c_82619,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82614,c_116]) ).
tff(c_82624,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82599,c_82561,c_42]) ).
tff(c_82625,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_82619,c_198,c_82624]) ).
tff(c_82650,plain,
( ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82572,c_82625,c_68]) ).
tff(c_82651,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_81544,c_196,c_82650]) ).
tff(c_82655,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82651,c_180]) ).
tff(c_82722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82605,c_65540,c_81532,c_82655,c_30]) ).
tff(c_82723,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_82613]) ).
tff(c_82936,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_82587,c_82723,c_52]) ).
tff(c_82937,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_82936]) ).
tff(c_82826,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_82599,c_84]) ).
tff(c_82827,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_82826]) ).
tff(c_82828,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_82827]) ).
tff(c_82832,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82828,c_190]) ).
tff(c_82882,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_82587,c_82723,c_52]) ).
tff(c_82883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82832,c_194,c_200,c_196,c_82882]) ).
tff(c_82884,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_82827]) ).
tff(c_82955,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82884,c_65539,c_82599,c_88]) ).
tff(c_82956,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_82955]) ).
tff(c_83028,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82599,c_82937,c_82572,c_82956,c_316]) ).
tff(c_83029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_204,c_202,c_83028]) ).
tff(c_83030,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_82586]) ).
tff(c_83033,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83030,c_154]) ).
tff(c_82560,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_81553]) ).
tff(c_82573,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82572,c_184]) ).
tff(c_82576,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82572,c_132]) ).
tff(c_83143,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_78]) ).
tff(c_83144,plain,
( ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_82576,c_202,c_83143]) ).
tff(c_83145,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_83144]) ).
tff(c_83160,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83145,c_176]) ).
tff(c_83213,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_82561,c_48]) ).
tff(c_83214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82573,c_83160,c_200,c_202,c_83213]) ).
tff(c_83216,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_83144]) ).
tff(c_83241,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82572,c_68]) ).
tff(c_83242,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_81544,c_83241]) ).
tff(c_83243,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_83242]) ).
tff(c_83246,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83243,c_180]) ).
tff(c_83374,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83216,c_65540,c_81532,c_83246,c_30]) ).
tff(c_83375,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_83242]) ).
tff(c_83379,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83375,c_156]) ).
tff(c_83418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83033,c_39332,c_82560,c_83379,c_26]) ).
tff(c_83419,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_83421,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_83419]) ).
tff(c_83423,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83421,c_156]) ).
tff(c_83448,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_83421,c_236]) ).
tff(c_83449,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_81534,c_204,c_83423,c_83448]) ).
tff(c_83451,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_83419]) ).
tff(c_83479,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_236]) ).
tff(c_83480,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_81534,c_83479]) ).
tff(c_83481,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_83480]) ).
tff(c_83495,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83481,c_82561,c_46]) ).
tff(c_83496,plain,
( ( op(e2,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_83495]) ).
tff(c_83497,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_83496]) ).
tff(c_83486,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_83481,c_150]) ).
tff(c_83500,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83497,c_154]) ).
tff(c_83521,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_64]) ).
tff(c_83522,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_83500,c_83521]) ).
tff(c_83523,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_83522]) ).
tff(c_83526,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83523,c_182]) ).
tff(c_83450,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_83419]) ).
tff(c_83454,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_83450]) ).
tff(c_83457,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83454,c_172]) ).
tff(c_83558,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_82561,c_48]) ).
tff(c_83559,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83526,c_83457,c_200,c_202,c_83558]) ).
tff(c_83560,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_83522]) ).
tff(c_83645,plain,
( ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_83560,c_60]) ).
tff(c_83646,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_83486,c_83645]) ).
tff(c_83466,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83454,c_68]) ).
tff(c_83467,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_81544,c_83466]) ).
tff(c_83468,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_83467]) ).
tff(c_82566,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_104]) ).
tff(c_83572,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83468,c_86]) ).
tff(c_83573,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_81536,c_82566,c_83572]) ).
tff(c_83752,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83497,c_83646,c_83468,c_83573,c_316]) ).
tff(c_83753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_202,c_83752]) ).
tff(c_83755,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_83496]) ).
tff(c_83456,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83454,c_180]) ).
tff(c_83765,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_83456,c_65540,c_81532,c_30]) ).
tff(c_83771,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83765,c_136]) ).
tff(c_83830,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83755,c_39332,c_82560,c_83771,c_26]) ).
tff(c_83832,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_83480]) ).
tff(c_82564,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_148]) ).
tff(c_83474,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83468,c_128]) ).
tff(c_83886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83451,c_83832,c_82564,c_83474,c_18]) ).
tff(c_83887,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_83467]) ).
tff(c_84112,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_83887,c_236]) ).
tff(c_84113,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_194,c_81534,c_196,c_84112]) ).
tff(c_84117,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84113,c_154]) ).
tff(c_83952,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_82561,c_48]) ).
tff(c_83953,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_83457,c_200,c_202,c_83952]) ).
tff(c_83915,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83887,c_82561,c_46]) ).
tff(c_83916,plain,
( ( op(e2,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_83915]) ).
tff(c_83917,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_83916]) ).
tff(c_83924,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83917,c_154]) ).
tff(c_83939,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_64]) ).
tff(c_83940,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_83924,c_83939]) ).
tff(c_83941,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_83940]) ).
tff(c_83944,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83941,c_182]) ).
tff(c_83963,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83953,c_83944]) ).
tff(c_83965,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_83940]) ).
tff(c_83892,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83887,c_150]) ).
tff(c_83964,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_83940]) ).
tff(c_84021,plain,
( ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81530,c_83964,c_60]) ).
tff(c_84022,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_84021]) ).
tff(c_84023,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_84022]) ).
tff(c_84053,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84023,c_81530,c_83964,c_52]) ).
tff(c_84054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_83892,c_84053]) ).
tff(c_84056,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_84022]) ).
tff(c_83888,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_83467]) ).
tff(c_81547,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_81541,c_106]) ).
tff(c_83899,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_83888,c_81547,c_82]) ).
tff(c_83900,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_83899]) ).
tff(c_83903,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_83900,c_190]) ).
tff(c_84071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83965,c_84056,c_81536,c_83903,c_16]) ).
tff(c_84073,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_83916]) ).
tff(c_84098,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82561,c_81541,c_83887,c_228]) ).
tff(c_84099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_84073,c_84098]) ).
tff(c_84100,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_83899]) ).
tff(c_84160,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84100,c_81530,c_64]) ).
tff(c_84161,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_84117,c_84160]) ).
tff(c_336,plain,
( ( op(e3,e3) != e2 )
| ( op(op(op(e3,e3),op(e3,e3)),op(e3,e3)) != e1 )
| ( op(op(e3,e3),op(e3,e3)) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_658]) ).
tff(c_84420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_84161,c_82561,c_82561,c_65539,c_84161,c_82561,c_82561,c_82561,c_82561,c_336]) ).
tff(c_84421,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_83450]) ).
tff(c_84557,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_84421,c_81541,c_54]) ).
tff(c_84558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_81535,c_194,c_84557]) ).
tff(c_84559,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_82559]) ).
tff(c_84564,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84559,c_122]) ).
tff(c_84660,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65539,c_81541,c_54]) ).
tff(c_84661,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_84564,c_81535,c_194,c_84660]) ).
tff(c_84663,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_84667,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_98]) ).
tff(c_84666,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_100]) ).
tff(c_84668,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_104]) ).
tff(c_100368,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_100371,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_190]) ).
tff(c_100369,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_182]) ).
tff(c_100394,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_86]) ).
tff(c_100395,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_100394]) ).
tff(c_100396,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_100395]) ).
tff(c_100400,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100396,c_188]) ).
tff(c_100998,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_100369,c_100400,c_84668,c_8]) ).
tff(c_100849,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100396,c_100368,c_82]) ).
tff(c_100850,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_84668,c_100849]) ).
tff(c_101032,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100998,c_100368,c_100850,c_100396,c_332]) ).
tff(c_101033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_196,c_202,c_101032]) ).
tff(c_101034,plain,
( ( op(e1,e0) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_100395]) ).
tff(c_101036,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_101034]) ).
tff(c_272,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_94122,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_272]) ).
tff(c_101041,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101036,c_184]) ).
tff(c_102000,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101041,c_72]) ).
tff(c_102001,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_102000]) ).
tff(c_102007,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102001,c_124]) ).
tff(c_84665,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_148]) ).
tff(c_102190,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_94122,c_102007,c_84665,c_18]) ).
tff(c_102194,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102190,c_156]) ).
tff(c_84674,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_92]) ).
tff(c_84677,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_192]) ).
tff(c_84685,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_87281,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84685,c_84674,c_332]) ).
tff(c_87282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_202,c_84677,c_204,c_87281]) ).
tff(c_87284,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_84676,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_190]) ).
tff(c_91750,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_87284,c_84676,c_16]) ).
tff(c_91751,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_91750]) ).
tff(c_91757,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91751,c_118]) ).
tff(c_88147,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_88531,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_88147,c_82]) ).
tff(c_88532,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_84668,c_88531]) ).
tff(c_88559,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88532,c_88147,c_84674,c_332]) ).
tff(c_88560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_194,c_198,c_204,c_88559]) ).
tff(c_88562,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_87283,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_87285,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_87283]) ).
tff(c_87289,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87285,c_110]) ).
tff(c_87297,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_86]) ).
tff(c_87298,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_87297]) ).
tff(c_87299,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_87298]) ).
tff(c_87474,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_87299,c_82]) ).
tff(c_87475,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_84668,c_87474]) ).
tff(c_87499,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87475,c_87299,c_84674,c_332]) ).
tff(c_87500,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_194,c_198,c_204,c_87499]) ).
tff(c_87501,plain,
( ( op(e2,e0) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_87298]) ).
tff(c_87503,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_87501]) ).
tff(c_87506,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87503,c_182]) ).
tff(c_87580,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87503,c_84674,c_332]) ).
tff(c_87581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_87506,c_84677,c_204,c_87580]) ).
tff(c_87582,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_87501]) ).
tff(c_87588,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87582,c_118]) ).
tff(c_88055,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87582,c_266]) ).
tff(c_88056,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_84667,c_87588,c_88055]) ).
tff(c_88058,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88056,c_162]) ).
tff(c_84664,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_152]) ).
tff(c_84675,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_188]) ).
tff(c_87290,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87285,c_112]) ).
tff(c_87589,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87582,c_120]) ).
tff(c_84679,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_144]) ).
tff(c_87594,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84679,c_30]) ).
tff(c_87595,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_87594]) ).
tff(c_87761,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_87595,c_84]) ).
tff(c_87762,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_84664,c_87761]) ).
tff(c_87766,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87762,c_166]) ).
tff(c_87613,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87582,c_87285,c_60]) ).
tff(c_87614,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_87613]) ).
tff(c_87615,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_87614]) ).
tff(c_87797,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87582,c_87615,c_87285,c_52]) ).
tff(c_87798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_87766,c_200,c_87797]) ).
tff(c_87799,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_87614]) ).
tff(c_87812,plain,
( ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87799,c_87582,c_266]) ).
tff(c_87813,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_84667,c_198,c_87812]) ).
tff(c_87805,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87799,c_162]) ).
tff(c_87824,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_87813,c_87805]) ).
tff(c_87825,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_87594]) ).
tff(c_87827,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_87825]) ).
tff(c_87830,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87827,c_178]) ).
tff(c_87844,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_87290,c_87589,c_87830,c_14]) ).
tff(c_87848,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87844,c_170]) ).
tff(c_87873,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87582,c_266]) ).
tff(c_87874,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_84667,c_87588,c_87873]) ).
tff(c_87878,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87874,c_160]) ).
tff(c_87885,plain,
( ( e3 = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_44]) ).
tff(c_87886,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84675,c_87848,c_87878,c_196,c_87885]) ).
tff(c_87887,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_87825]) ).
tff(c_87905,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_87887,c_84]) ).
tff(c_87906,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_84664,c_87905]) ).
tff(c_87910,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87906,c_166]) ).
tff(c_88131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87289,c_88058,c_87588,c_87910,c_12]) ).
tff(c_88132,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_87283]) ).
tff(c_88134,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_88132]) ).
tff(c_89672,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_60]) ).
tff(c_89673,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_84676,c_204,c_89672]) ).
tff(c_89674,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_89673]) ).
tff(c_89678,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89674,c_162]) ).
tff(c_89714,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89674,c_268]) ).
tff(c_89715,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_84667,c_198,c_89678,c_89714]) ).
tff(c_89719,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89715,c_168]) ).
tff(c_84680,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_140]) ).
tff(c_88561,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_88563,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_88561]) ).
tff(c_88566,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88563,c_156]) ).
tff(c_89036,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_84680,c_88566,c_84664,c_26]) ).
tff(c_89041,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89036,c_134]) ).
tff(c_88139,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_114]) ).
tff(c_89052,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_89041,c_88139,c_62]) ).
tff(c_89053,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_89052]) ).
tff(c_89064,plain,
( ( op(e2,e0) != e2 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89053,c_266]) ).
tff(c_89065,plain,
( ( op(e2,e0) != e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_84667,c_204,c_89064]) ).
tff(c_89066,plain,
op(e2,e0) != e2,
inference(splitLeft,[status(thm)],[c_89065]) ).
tff(c_89057,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89053,c_160]) ).
tff(c_88135,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_170]) ).
tff(c_88568,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88563,c_122]) ).
tff(c_88589,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_88568,c_20]) ).
tff(c_88590,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_88589]) ).
tff(c_88594,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88590,c_160]) ).
tff(c_88136,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_178]) ).
tff(c_88575,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_88136,c_84679,c_30]) ).
tff(c_88576,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_88575]) ).
tff(c_88579,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88576,c_176]) ).
tff(c_88592,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88590,c_168]) ).
tff(c_88607,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88590,c_268]) ).
tff(c_88608,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_204,c_88592,c_88607]) ).
tff(c_88611,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88608,c_158]) ).
tff(c_88653,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_88654,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_88579,c_88611,c_194,c_88653]) ).
tff(c_88667,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88654,c_84663,c_48]) ).
tff(c_88668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_88135,c_88594,c_200,c_88667]) ).
tff(c_88669,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_88589]) ).
tff(c_88671,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_88669]) ).
tff(c_88674,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88671,c_168]) ).
tff(c_88760,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_88576,c_84]) ).
tff(c_88761,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_88674,c_84664,c_88760]) ).
tff(c_88762,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_88669]) ).
tff(c_88787,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88762,c_88563,c_68]) ).
tff(c_88788,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_88787]) ).
tff(c_88789,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_88788]) ).
tff(c_88794,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88789,c_132]) ).
tff(c_88870,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88576,c_88134,c_66]) ).
tff(c_88871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_88794,c_200,c_84666,c_88870]) ).
tff(c_88872,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_88788]) ).
tff(c_89017,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_88872,c_88576,c_300]) ).
tff(c_89018,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_202,c_196,c_202,c_89017]) ).
tff(c_89019,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_88575]) ).
tff(c_89067,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_89019,c_89036,c_88]) ).
tff(c_89068,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_89067]) ).
tff(c_89072,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89068,c_164]) ).
tff(c_89084,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_89085,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_89072,c_194,c_89084]) ).
tff(c_89086,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_89085]) ).
tff(c_89099,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89086,c_84663,c_48]) ).
tff(c_89100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_88135,c_89057,c_200,c_89099]) ).
tff(c_89101,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_89085]) ).
tff(c_89118,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89101,c_84663,c_48]) ).
tff(c_89119,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_89057,c_200,c_89118]) ).
tff(c_89260,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_89119,c_86]) ).
tff(c_89261,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_88562,c_89066,c_202,c_89260]) ).
tff(c_89263,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_89065]) ).
tff(c_89262,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_89065]) ).
tff(c_89268,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89262,c_118]) ).
tff(c_89283,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_89263,c_89268]) ).
tff(c_89285,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_89052]) ).
tff(c_89554,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_89285,c_88568,c_20]) ).
tff(c_89555,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_89554]) ).
tff(c_89284,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_89052]) ).
tff(c_89568,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89555,c_89284,c_54]) ).
tff(c_89569,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_89568]) ).
tff(c_89570,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_89569]) ).
tff(c_89574,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89570,c_166]) ).
tff(c_88567,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88563,c_150]) ).
tff(c_88137,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_174]) ).
tff(c_89300,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_82]) ).
tff(c_89301,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_84668,c_89300]) ).
tff(c_89302,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_89301]) ).
tff(c_89423,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89284,c_268]) ).
tff(c_89424,plain,
( ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_89041,c_89423]) ).
tff(c_89425,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_89424]) ).
tff(c_89427,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89425,c_166]) ).
tff(c_89435,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_89019,c_89036,c_88]) ).
tff(c_89436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_89427,c_202,c_89435]) ).
tff(c_89437,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_89424]) ).
tff(c_89521,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89302,c_89437,c_88563,c_80]) ).
tff(c_89522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_88137,c_204,c_202,c_89521]) ).
tff(c_89523,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_89301]) ).
tff(c_89596,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89523,c_88134,c_56]) ).
tff(c_89597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_89574,c_88567,c_89596]) ).
tff(c_89599,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_89569]) ).
tff(c_89642,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_89019,c_89036,c_88]) ).
tff(c_89643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_89599,c_202,c_89642]) ).
tff(c_89644,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_88561]) ).
tff(c_89646,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_89644]) ).
tff(c_89650,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89646,c_126]) ).
tff(c_89695,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89646,c_68]) ).
tff(c_89696,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_84665,c_89695]) ).
tff(c_89697,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_89696]) ).
tff(c_89702,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89697,c_130]) ).
tff(c_89842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89719,c_89678,c_89650,c_89702,c_20]) ).
tff(c_89843,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_89696]) ).
tff(c_89861,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89674,c_89843,c_268]) ).
tff(c_89862,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_84667,c_198,c_196,c_89861]) ).
tff(c_89905,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89862,c_89843,c_89674,c_54]) ).
tff(c_89906,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_89905]) ).
tff(c_89911,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89906,c_106]) ).
tff(c_89844,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_89696]) ).
tff(c_89871,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_82]) ).
tff(c_89872,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_89844,c_84668,c_89871]) ).
tff(c_89916,plain,
( ( op(e3,e0) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_89872,c_86]) ).
tff(c_89917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_88562,c_194,c_89911,c_89916]) ).
tff(c_89918,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_89673]) ).
tff(c_90095,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89918,c_84663,c_46]) ).
tff(c_90096,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_90095]) ).
tff(c_90097,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_90096]) ).
tff(c_90100,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90097,c_156]) ).
tff(c_88145,plain,
( ( op(e1,e1) != e1 )
| ( op(e1,e2) != e1 )
| ( op(e1,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_88136,c_272]) ).
tff(c_88146,plain,
op(e1,e3) != e1,
inference(splitLeft,[status(thm)],[c_88145]) ).
tff(c_89645,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_88561]) ).
tff(c_90108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90100,c_88146,c_89645,c_84665,c_18]) ).
tff(c_90110,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_90096]) ).
tff(c_90109,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_90096]) ).
tff(c_220,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_90137,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_89918,c_90109,c_220]) ).
tff(c_90138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_90110,c_90137]) ).
tff(c_90139,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_89644]) ).
tff(c_90142,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90139,c_162]) ).
tff(c_90163,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_56]) ).
tff(c_90164,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_90142,c_90163]) ).
tff(c_90165,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_90164]) ).
tff(c_90170,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90165,c_116]) ).
tff(c_90197,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90139,c_268]) ).
tff(c_90198,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_84667,c_90142,c_198,c_90197]) ).
tff(c_90204,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90198,c_134]) ).
tff(c_88133,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_87283]) ).
tff(c_90225,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_90226,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_90204,c_88133,c_200,c_90225]) ).
tff(c_90290,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_90226,c_220]) ).
tff(c_90291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90170,c_204,c_90204,c_90290]) ).
tff(c_90293,plain,
op(e2,e0) != e2,
inference(splitRight,[status(thm)],[c_90164]) ).
tff(c_90478,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_332]) ).
tff(c_90479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_90293,c_84677,c_204,c_90478]) ).
tff(c_90481,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_88145]) ).
tff(c_91190,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90481,c_122]) ).
tff(c_91191,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90481,c_124]) ).
tff(c_90482,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_90485,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90482,c_186]) ).
tff(c_91183,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90482,c_84674,c_332]) ).
tff(c_91184,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_90485,c_198,c_204,c_91183]) ).
tff(c_91185,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_91197,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90481,c_91185]) ).
tff(c_91198,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_91197]) ).
tff(c_91199,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_91198]) ).
tff(c_91204,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91199,c_126]) ).
tff(c_91216,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88134,c_66]) ).
tff(c_91217,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_84666,c_91216]) ).
tff(c_91218,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_91217]) ).
tff(c_91222,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91218,c_180]) ).
tff(c_91454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88137,c_91191,c_91204,c_91222,c_22]) ).
tff(c_91456,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_91217]) ).
tff(c_84678,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_142]) ).
tff(c_91201,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91199,c_168]) ).
tff(c_91521,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84678,c_91201,c_28]) ).
tff(c_91522,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_91521]) ).
tff(c_91202,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91199,c_162]) ).
tff(c_91467,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84680,c_84664,c_26]) ).
tff(c_91468,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91467]) ).
tff(c_91473,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91468,c_134]) ).
tff(c_91485,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91199,c_62]) ).
tff(c_91486,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_91473,c_202,c_88139,c_91485]) ).
tff(c_91505,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91486,c_91199,c_268]) ).
tff(c_91506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_91202,c_198,c_91473,c_91505]) ).
tff(c_91507,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_91467]) ).
tff(c_91611,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_91522,c_91507,c_84]) ).
tff(c_91612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_91456,c_200,c_194,c_91611]) ).
tff(c_91613,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_91521]) ).
tff(c_91203,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91199,c_160]) ).
tff(c_91625,plain,
( ( op(e3,e2) = e1 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91203,c_84667,c_4]) ).
tff(c_91626,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_91625]) ).
tff(c_91665,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91626,c_91199,c_91613,c_268]) ).
tff(c_91666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_91202,c_198,c_200,c_91665]) ).
tff(c_91667,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_91625]) ).
tff(c_91723,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91613,c_91199,c_91667,c_62]) ).
tff(c_91724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_88139,c_204,c_91723]) ).
tff(c_91726,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_91198]) ).
tff(c_91782,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91190,c_91726,c_20]) ).
tff(c_91783,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_91782]) ).
tff(c_91794,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91783,c_91751,c_266]) ).
tff(c_91795,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_91757,c_204,c_91794]) ).
tff(c_91796,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_91782]) ).
tff(c_91809,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91796,c_91751,c_266]) ).
tff(c_91810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_91757,c_196,c_91809]) ).
tff(c_91811,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_91750]) ).
tff(c_91838,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91811,c_84674,c_332]) ).
tff(c_91839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_194,c_84677,c_204,c_91838]) ).
tff(c_91841,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_88132]) ).
tff(c_93794,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91841,c_78]) ).
tff(c_93795,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_93794]) ).
tff(c_93801,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93795,c_180]) ).
tff(c_93518,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84680,c_84664,c_26]) ).
tff(c_93519,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_93518]) ).
tff(c_93524,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93519,c_156]) ).
tff(c_91840,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_88132]) ).
tff(c_91842,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91840,c_166]) ).
tff(c_91844,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91840,c_162]) ).
tff(c_91852,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_91853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91844,c_91852]) ).
tff(c_91854,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_91856,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_91854]) ).
tff(c_91858,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91856,c_168]) ).
tff(c_92309,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_91842,c_84678,c_91858,c_28]) ).
tff(c_92492,plain,
( ( op(e3,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92309,c_91856,c_91840,c_58]) ).
tff(c_92493,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_92492]) ).
tff(c_91871,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_91841,c_14]) ).
tff(c_91872,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_91871]) ).
tff(c_91876,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91872,c_174]) ).
tff(c_91843,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91840,c_158]) ).
tff(c_91936,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_91842,c_84678,c_91858,c_28]) ).
tff(c_91940,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91936,c_164]) ).
tff(c_91958,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_91959,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_91940,c_194,c_91958]) ).
tff(c_91960,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_91959]) ).
tff(c_91973,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91960,c_84663,c_48]) ).
tff(c_91974,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_91843,c_200,c_91973]) ).
tff(c_91885,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84679,c_30]) ).
tff(c_91886,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_91885]) ).
tff(c_91891,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91886,c_136]) ).
tff(c_91898,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_91891,c_84680,c_84664,c_26]) ).
tff(c_91904,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91898,c_134]) ).
tff(c_91909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91842,c_84678,c_91904,c_91858,c_28]) ).
tff(c_91910,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_91885]) ).
tff(c_91912,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_91910]) ).
tff(c_91988,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91974,c_91872,c_91912,c_300]) ).
tff(c_91989,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_91876,c_200,c_91988]) ).
tff(c_91990,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_91959]) ).
tff(c_92021,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91990,c_91872,c_91912,c_300]) ).
tff(c_92022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_91876,c_200,c_92021]) ).
tff(c_92023,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_91910]) ).
tff(c_92036,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_92023,c_84]) ).
tff(c_92037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_91858,c_84664,c_92036]) ).
tff(c_92038,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_91871]) ).
tff(c_92040,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_92038]) ).
tff(c_92044,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92040,c_178]) ).
tff(c_92052,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84679,c_92044,c_30]) ).
tff(c_92053,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_92052]) ).
tff(c_92238,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_92053,c_84]) ).
tff(c_92239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_91858,c_84664,c_92238]) ).
tff(c_92240,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_92052]) ).
tff(c_92277,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_92240,c_84]) ).
tff(c_92278,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_91858,c_84664,c_92277]) ).
tff(c_92279,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_92038]) ).
tff(c_92510,plain,
( ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92493,c_91840,c_92279,c_92309,c_264]) ).
tff(c_92511,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_92510]) ).
tff(c_92512,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_91854]) ).
tff(c_92853,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_92512]) ).
tff(c_92858,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92853,c_122]) ).
tff(c_93445,plain,
( ( op(e0,e3) = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_220]) ).
tff(c_93446,plain,
( ( op(e0,e3) = e0 )
| ( op(e2,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_92858,c_93445]) ).
tff(c_93447,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_93446]) ).
tff(c_93452,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93447,c_154]) ).
tff(c_93462,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_84680,c_93452,c_84664,c_26]) ).
tff(c_93466,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93462,c_156]) ).
tff(c_92859,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92853,c_126]) ).
tff(c_92514,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_92517,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92514,c_186]) ).
tff(c_92537,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_87284,c_84676,c_92517,c_16]) ).
tff(c_92558,plain,
( ( e1 = e0 )
| ( op(e0,e1) != e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92537,c_84674,c_328]) ).
tff(c_92559,plain,
op(e0,e1) != e0,
inference(negUnitSimplification,[status(thm)],[c_84668,c_194,c_204,c_92558]) ).
tff(c_92560,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84680,c_84664,c_26]) ).
tff(c_92561,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_92560]) ).
tff(c_92565,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92561,c_156]) ).
tff(c_92519,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92514,c_130]) ).
tff(c_92525,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_92519,c_92512]) ).
tff(c_92531,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92525,c_122]) ).
tff(c_92520,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92514,c_128]) ).
tff(c_92622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92565,c_92531,c_92520,c_84665,c_18]) ).
tff(c_92623,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_92560]) ).
tff(c_92629,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92623,c_136]) ).
tff(c_92516,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92514,c_184]) ).
tff(c_92636,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_92637,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_92516,c_194,c_92636]) ).
tff(c_92638,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_92637]) ).
tff(c_92640,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92638,c_170]) ).
tff(c_92532,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92525,c_126]) ).
tff(c_92518,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92514,c_132]) ).
tff(c_92661,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_92532,c_92518,c_22]) ).
tff(c_92662,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_92661]) ).
tff(c_92674,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92638,c_92662,c_300]) ).
tff(c_92675,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_92640,c_204,c_92559,c_92674]) ).
tff(c_92676,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_92661]) ).
tff(c_92694,plain,
( ( op(e0,e1) = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92638,c_92676,c_300]) ).
tff(c_92695,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_92640,c_196,c_92559,c_92694]) ).
tff(c_92696,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_92637]) ).
tff(c_92802,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92525,c_91840,c_92696,c_50]) ).
tff(c_92803,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_92802]) ).
tff(c_92807,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_92803,c_138]) ).
tff(c_92850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92559,c_84679,c_92629,c_92807,c_30]) ).
tff(c_92851,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_92865,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92853,c_92851]) ).
tff(c_92866,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_92865]) ).
tff(c_92867,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_92866]) ).
tff(c_92872,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92867,c_156]) ).
tff(c_92892,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_84680,c_92872,c_84664,c_26]) ).
tff(c_92897,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92892,c_136]) ).
tff(c_92868,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_87284,c_84676,c_16]) ).
tff(c_92869,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_92868]) ).
tff(c_92885,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92869,c_120]) ).
tff(c_92903,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_91841,c_92885,c_14]) ).
tff(c_92904,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_92903]) ).
tff(c_93104,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92904,c_300]) ).
tff(c_93105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_198,c_92859,c_92897,c_93104]) ).
tff(c_93106,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_92903]) ).
tff(c_93144,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93106,c_300]) ).
tff(c_93145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_194,c_92859,c_92897,c_93144]) ).
tff(c_93146,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_92868]) ).
tff(c_93232,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93146,c_84674,c_332]) ).
tff(c_93233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_194,c_84677,c_204,c_93232]) ).
tff(c_93235,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_92866]) ).
tff(c_93473,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93466,c_92858,c_93235,c_84665,c_18]) ).
tff(c_93474,plain,
op(e0,e3) = e0,
inference(splitRight,[status(thm)],[c_93446]) ).
tff(c_93479,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93474,c_156]) ).
tff(c_93504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93479,c_92858,c_93235,c_84665,c_18]) ).
tff(c_93505,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_92512]) ).
tff(c_93509,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93505,c_168]) ).
tff(c_93605,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_91842,c_84678,c_93509,c_28]) ).
tff(c_93629,plain,
( ( e3 = e0 )
| ( op(e2,e1) != e2 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91840,c_93605,c_264]) ).
tff(c_93630,plain,
op(e2,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_200,c_93629]) ).
tff(c_93525,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93519,c_136]) ).
tff(c_93557,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84674,c_332]) ).
tff(c_93558,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_84668,c_84677,c_204,c_93557]) ).
tff(c_93564,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93558,c_120]) ).
tff(c_93561,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93558,c_182]) ).
tff(c_93510,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93505,c_160]) ).
tff(c_93574,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_93575,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_93561,c_93510,c_194,c_93574]) ).
tff(c_93545,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_93525,c_91841,c_78]) ).
tff(c_93546,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_93545]) ).
tff(c_93591,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93575,c_93546,c_300]) ).
tff(c_93592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_93564,c_204,c_93525,c_93591]) ).
tff(c_93593,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_93545]) ).
tff(c_93631,plain,
( ( op(e0,e1) = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93593,c_300]) ).
tff(c_93632,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_93630,c_93525,c_93631]) ).
tff(c_93638,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93632,c_124]) ).
tff(c_93511,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93505,c_122]) ).
tff(c_93652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93524,c_93638,c_93511,c_84665,c_18]) ).
tff(c_93653,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_93518]) ).
tff(c_93659,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93653,c_154]) ).
tff(c_93958,plain,
( ( e2 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_93653,c_220]) ).
tff(c_93959,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_93659,c_202,c_93958]) ).
tff(c_93963,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93959,c_124]) ).
tff(c_93512,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93505,c_126]) ).
tff(c_84669,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_146]) ).
tff(c_93969,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91840,c_52]) ).
tff(c_93970,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_84669,c_93969]) ).
tff(c_93971,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_93970]) ).
tff(c_93991,plain,
( ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93971,c_93795,c_84674,c_328]) ).
tff(c_93992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_194,c_204,c_93991]) ).
tff(c_93993,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_93970]) ).
tff(c_93997,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_93993,c_174]) ).
tff(c_94029,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93801,c_93963,c_93512,c_93997,c_22]) ).
tff(c_94030,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_93794]) ).
tff(c_94035,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_94030]) ).
tff(c_94041,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94035,c_108]) ).
tff(c_94046,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_94041,c_84675,c_84668,c_8]) ).
tff(c_94050,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94046,c_182]) ).
tff(c_94059,plain,
( ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94046,c_84674,c_332]) ).
tff(c_94060,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_94050,c_84677,c_204,c_94059]) ).
tff(c_94062,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_94030]) ).
tff(c_94031,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_93794]) ).
tff(c_94061,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_94030]) ).
tff(c_94079,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94061,c_300]) ).
tff(c_94080,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_84666,c_204,c_94031,c_94079]) ).
tff(c_94082,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94080,c_170]) ).
tff(c_94094,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_94095,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_94082,c_93510,c_194,c_94094]) ).
tff(c_94118,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94095,c_84663,c_48]) ).
tff(c_94119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_94062,c_91843,c_200,c_94118]) ).
tff(c_94120,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_94123,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_94120]) ).
tff(c_94128,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_136]) ).
tff(c_246,plain,
( ( op(e2,e0) != e2 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_94141,plain,
op(e2,e3) != e2,
inference(splitLeft,[status(thm)],[c_246]) ).
tff(c_95133,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_84663,c_46]) ).
tff(c_95134,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_95133]) ).
tff(c_95135,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_95134]) ).
tff(c_95190,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_95135,c_94123,c_220]) ).
tff(c_95191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94141,c_204,c_95190]) ).
tff(c_95193,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_95134]) ).
tff(c_94125,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_154]) ).
tff(c_94983,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_94125,c_94141,c_84669,c_10]) ).
tff(c_94154,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_94160,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94154,c_128]) ).
tff(c_94228,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_94122,c_94160,c_84665,c_18]) ).
tff(c_94274,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_94228,c_94123,c_220]) ).
tff(c_94275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94141,c_204,c_94274]) ).
tff(c_94276,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_94278,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_94276]) ).
tff(c_95073,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_94983,c_94278,c_94123,c_220]) ).
tff(c_95074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_204,c_95073]) ).
tff(c_95076,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_94276]) ).
tff(c_95220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95193,c_94122,c_95076,c_84665,c_18]) ).
tff(c_95222,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_246]) ).
tff(c_95226,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95222,c_110]) ).
tff(c_95704,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_95222,c_84663,c_46]) ).
tff(c_95705,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_95704]) ).
tff(c_95709,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95705,c_122]) ).
tff(c_96152,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95709,c_62]) ).
tff(c_96153,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_96152]) ).
tff(c_95225,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95222,c_150]) ).
tff(c_95233,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_95225,c_72]) ).
tff(c_95234,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_95233]) ).
tff(c_94121,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_95237,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95234,c_192]) ).
tff(c_95715,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94121,c_95237,c_32]) ).
tff(c_95716,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_95715]) ).
tff(c_95721,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95716,c_142]) ).
tff(c_94129,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_134]) ).
tff(c_95236,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95234,c_186]) ).
tff(c_95246,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94128,c_30]) ).
tff(c_95247,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_95246]) ).
tff(c_95254,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95247,c_144]) ).
tff(c_95270,plain,
( ( op(e0,e0) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95247,c_328]) ).
tff(c_95271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_95236,c_95254,c_95270]) ).
tff(c_95272,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_95246]) ).
tff(c_95274,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_95272]) ).
tff(c_95280,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95274,c_144]) ).
tff(c_95281,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95274,c_138]) ).
tff(c_95239,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95234,c_130]) ).
tff(c_95238,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95234,c_132]) ).
tff(c_95227,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95222,c_112]) ).
tff(c_95307,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95274,c_70]) ).
tff(c_95308,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_95238,c_95227,c_95307]) ).
tff(c_95312,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95308,c_102]) ).
tff(c_95296,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_95369,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95296,c_54]) ).
tff(c_95370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_95239,c_95226,c_95312,c_95369]) ).
tff(c_95372,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_95371,plain,
( ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_95373,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_95371]) ).
tff(c_95393,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95373,c_268]) ).
tff(c_95394,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_95226,c_95372,c_95393]) ).
tff(c_95428,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95394,c_95373,c_50]) ).
tff(c_95429,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_95281,c_196,c_200,c_95428]) ).
tff(c_95434,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95429,c_118]) ).
tff(c_95495,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95234,c_82]) ).
tff(c_95496,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95280,c_194,c_95434,c_84668,c_95495]) ).
tff(c_95497,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_95371]) ).
tff(c_95499,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_95497]) ).
tff(c_95504,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95499,c_122]) ).
tff(c_95553,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_95222,c_84663,c_46]) ).
tff(c_95554,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_95504,c_202,c_200,c_95553]) ).
tff(c_95555,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_95497]) ).
tff(c_95561,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95555,c_114]) ).
tff(c_95578,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95555,c_95222,c_60]) ).
tff(c_95579,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_95578]) ).
tff(c_95580,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_95579]) ).
tff(c_95587,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95580,c_120]) ).
tff(c_95277,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95274,c_178]) ).
tff(c_95605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95561,c_95587,c_95227,c_95277,c_14]) ).
tff(c_95606,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_95579]) ).
tff(c_95611,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95606,c_174]) ).
tff(c_95567,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95274,c_70]) ).
tff(c_95568,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_95238,c_95227,c_95567]) ).
tff(c_95621,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95555,c_268]) ).
tff(c_95622,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_95372,c_95621]) ).
tff(c_95688,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95568,c_95622,c_95274,c_292]) ).
tff(c_95689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_95611,c_200,c_95688]) ).
tff(c_95690,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_95272]) ).
tff(c_95698,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95690,c_138]) ).
tff(c_95726,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_95721,c_94129,c_95698,c_28]) ).
tff(c_95758,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95716,c_95234,c_90]) ).
tff(c_95759,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_95758]) ).
tff(c_95760,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_95759]) ).
tff(c_95838,plain,
( ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95760,c_95234,c_95716,c_330]) ).
tff(c_95839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_198,c_95838]) ).
tff(c_95840,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_95759]) ).
tff(c_95720,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95716,c_190]) ).
tff(c_95841,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_95759]) ).
tff(c_95745,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95726,c_62]) ).
tff(c_95746,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_95709,c_95745]) ).
tff(c_95747,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_95746]) ).
tff(c_95752,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95747,c_114]) ).
tff(c_95710,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95705,c_124]) ).
tff(c_95891,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_95710,c_95238,c_22]) ).
tff(c_95892,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_95891]) ).
tff(c_95895,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_95892,c_174]) ).
tff(c_95941,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_95752,c_95895,c_95227,c_14]) ).
tff(c_95945,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95941,c_120]) ).
tff(c_95974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95720,c_95841,c_95236,c_95945,c_16]) ).
tff(c_95975,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_95891]) ).
tff(c_95858,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95726,c_95747,c_54]) ).
tff(c_95859,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_95239,c_202,c_95858]) ).
tff(c_95869,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95840,c_95859,c_84663,c_48]) ).
tff(c_95870,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_95869]) ).
tff(c_96003,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95690,c_95975,c_95870,c_74]) ).
tff(c_96004,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_96003]) ).
tff(c_96046,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96004,c_95747,c_95222,c_52]) ).
tff(c_96047,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_96046]) ).
tff(c_96092,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95840,c_96047,c_95234,c_95716,c_330]) ).
tff(c_96093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_198,c_96092]) ).
tff(c_96094,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_95746]) ).
tff(c_96113,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96094,c_95726,c_268]) ).
tff(c_96114,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_95226,c_200,c_96113]) ).
tff(c_96130,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95726,c_96114,c_96094,c_54]) ).
tff(c_96131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_95226,c_202,c_96130]) ).
tff(c_96132,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_95715]) ).
tff(c_96578,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96153,c_95234,c_96132,c_324]) ).
tff(c_96579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_198,c_200,c_96578]) ).
tff(c_96581,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_96152]) ).
tff(c_96138,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96132,c_142]) ).
tff(c_96699,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96581,c_94129,c_95698,c_96138,c_28]) ).
tff(c_96700,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_95233]) ).
tff(c_96702,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_96700]) ).
tff(c_97383,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96702,c_268]) ).
tff(c_97384,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_84667,c_95226,c_198,c_97383]) ).
tff(c_97387,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97384,c_164]) ).
tff(c_97343,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_94122,c_95225,c_84665,c_18]) ).
tff(c_97347,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97343,c_124]) ).
tff(c_95228,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95222,c_116]) ).
tff(c_96703,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94128,c_30]) ).
tff(c_96704,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_96703]) ).
tff(c_96720,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96704,c_138]) ).
tff(c_96876,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96702,c_62]) ).
tff(c_96877,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_96720,c_202,c_96876]) ).
tff(c_96878,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_96877]) ).
tff(c_96930,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96878,c_96702,c_268]) ).
tff(c_96931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_198,c_96720,c_96930]) ).
tff(c_96932,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_96877]) ).
tff(c_96968,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96932,c_96702,c_268]) ).
tff(c_96969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_95226,c_198,c_96720,c_96968]) ).
tff(c_96970,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_96703]) ).
tff(c_96983,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_96970]) ).
tff(c_96986,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96983,c_178]) ).
tff(c_97106,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95227,c_96986,c_14]) ).
tff(c_97107,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_97106]) ).
tff(c_97111,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97107,c_174]) ).
tff(c_96976,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96702,c_126]) ).
tff(c_96988,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96983,c_180]) ).
tff(c_97118,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_97111,c_96976,c_96988,c_22]) ).
tff(c_97123,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97118,c_132]) ).
tff(c_97122,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97118,c_172]) ).
tff(c_97110,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97107,c_170]) ).
tff(c_97145,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_48]) ).
tff(c_97146,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97110,c_200,c_97145]) ).
tff(c_97147,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_97146]) ).
tff(c_96972,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96702,c_168]) ).
tff(c_96989,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96983,c_144]) ).
tff(c_96995,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94121,c_96989,c_32]) ).
tff(c_96996,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_96995]) ).
tff(c_97079,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96996,c_96983,c_94123,c_88]) ).
tff(c_97080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_96972,c_198,c_97079]) ).
tff(c_97081,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_96995]) ).
tff(c_97239,plain,
( ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97147,c_97081,c_332]) ).
tff(c_97240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_95228,c_97123,c_202,c_97239]) ).
tff(c_97241,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_97146]) ).
tff(c_97274,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e3,e1) = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97241,c_84663,c_44]) ).
tff(c_97275,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_97122,c_204,c_196,c_97274]) ).
tff(c_97293,plain,
( ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97275,c_97081,c_332]) ).
tff(c_97294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_95228,c_97123,c_202,c_97293]) ).
tff(c_97295,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_97106]) ).
tff(c_97300,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97295,c_174]) ).
tff(c_97352,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97347,c_97300,c_96976,c_96988,c_22]) ).
tff(c_97353,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_96970]) ).
tff(c_97358,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97353,c_176]) ).
tff(c_96974,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96702,c_160]) ).
tff(c_97371,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_97372,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_97358,c_96974,c_194,c_97371]) ).
tff(c_97559,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97372,c_84663,c_48]) ).
tff(c_97560,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_97387,c_200,c_97559]) ).
tff(c_97405,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95227,c_14]) ).
tff(c_97406,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_97405]) ).
tff(c_97408,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97406,c_170]) ).
tff(c_97428,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97372,c_84663,c_48]) ).
tff(c_97429,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_97408,c_97387,c_200,c_97428]) ).
tff(c_97430,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_97405]) ).
tff(c_97432,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_97430]) ).
tff(c_97437,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97432,c_114]) ).
tff(c_97542,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97384,c_96702,c_50]) ).
tff(c_97543,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_97437,c_84667,c_97542]) ).
tff(c_97544,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_97430]) ).
tff(c_97564,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97560,c_172]) ).
tff(c_97396,plain,
( ( op(e1,e0) != e1 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_84666,c_95227,c_294]) ).
tff(c_97397,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_97396]) ).
tff(c_97702,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_97564,c_97397,c_96976,c_22]) ).
tff(c_97798,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97560,c_97544,c_97702,c_97353,c_300]) ).
tff(c_97799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_202,c_97798]) ).
tff(c_97800,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_97396]) ).
tff(c_97389,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97384,c_142]) ).
tff(c_97825,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97372,c_97384,c_324]) ).
tff(c_97826,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_97800,c_97389,c_97825]) ).
tff(c_97827,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_96700]) ).
tff(c_97829,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_180]) ).
tff(c_97844,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_95222,c_84663,c_46]) ).
tff(c_97845,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_97844]) ).
tff(c_97849,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97845,c_122]) ).
tff(c_97858,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97849,c_62]) ).
tff(c_97859,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_97858]) ).
tff(c_97865,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_138]) ).
tff(c_97861,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_164]) ).
tff(c_97875,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_48]) ).
tff(c_97876,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97861,c_200,c_97875]) ).
tff(c_97877,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_97876]) ).
tff(c_97882,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97877,c_108]) ).
tff(c_98061,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_94123,c_84]) ).
tff(c_98062,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_98061]) ).
tff(c_98063,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_98062]) ).
tff(c_98066,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98063,c_190]) ).
tff(c_97892,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_95227,c_14]) ).
tff(c_97893,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_97892]) ).
tff(c_97940,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e1 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_292]) ).
tff(c_97941,plain,
op(e1,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_84666,c_198,c_97865,c_97940]) ).
tff(c_97862,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_166]) ).
tff(c_97903,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97893,c_95222,c_60]) ).
tff(c_97904,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_97903]) ).
tff(c_97905,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_97904]) ).
tff(c_97910,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_97905,c_118]) ).
tff(c_97995,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_97862,c_97910,c_95226,c_12]) ).
tff(c_97830,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_172]) ).
tff(c_97925,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97877,c_84663,c_40]) ).
tff(c_97926,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_97830,c_194,c_97925]) ).
tff(c_98022,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_97995,c_97926,c_58]) ).
tff(c_98023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_97941,c_196,c_198,c_98022]) ).
tff(c_98024,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_97904]) ).
tff(c_98094,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97893,c_98024,c_95222,c_52]) ).
tff(c_98095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98066,c_200,c_196,c_194,c_98094]) ).
tff(c_98096,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_98062]) ).
tff(c_98176,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98096,c_97827,c_97893,c_74]) ).
tff(c_98177,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_98176]) ).
tff(c_98282,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98177,c_97893,c_97827,c_98096,c_300]) ).
tff(c_98283,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_198,c_200,c_98282]) ).
tff(c_98284,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_97892]) ).
tff(c_98286,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_98284]) ).
tff(c_98367,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_98286,c_78]) ).
tff(c_98368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97865,c_202,c_200,c_97882,c_98367]) ).
tff(c_98369,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_98284]) ).
tff(c_98373,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98369,c_170]) ).
tff(c_97828,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_96700]) ).
tff(c_98473,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_54]) ).
tff(c_98474,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_97828,c_95226,c_98473]) ).
tff(c_98547,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97877,c_98474,c_84663,c_44]) ).
tff(c_98548,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_98373,c_198,c_196,c_98547]) ).
tff(c_98549,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_97876]) ).
tff(c_98553,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98549,c_170]) ).
tff(c_98561,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95222,c_60]) ).
tff(c_98562,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_98561]) ).
tff(c_98563,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_98562]) ).
tff(c_98566,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98563,c_186]) ).
tff(c_97864,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_142]) ).
tff(c_98574,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98563,c_332]) ).
tff(c_98575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_198,c_98566,c_97864,c_98574]) ).
tff(c_98576,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_98562]) ).
tff(c_98578,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_98576]) ).
tff(c_98583,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98578,c_114]) ).
tff(c_98592,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_98553,c_98583,c_95227,c_14]) ).
tff(c_98673,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_98592,c_98549,c_74]) ).
tff(c_98674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94128,c_198,c_196,c_204,c_98673]) ).
tff(c_98675,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_98576]) ).
tff(c_98722,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_94123,c_84]) ).
tff(c_98723,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_98722]) ).
tff(c_98724,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_98723]) ).
tff(c_98730,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98724,c_144]) ).
tff(c_98739,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_98675,c_98549,c_66]) ).
tff(c_98740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98730,c_194,c_196,c_200,c_98739]) ).
tff(c_98741,plain,
op(e0,e1) = e3,
inference(splitRight,[status(thm)],[c_98723]) ).
tff(c_98801,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98549,c_98675,c_97827,c_98741,c_300]) ).
tff(c_98802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_198,c_200,c_98801]) ).
tff(c_98803,plain,
( ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_97858]) ).
tff(c_98805,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_98803]) ).
tff(c_98808,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98805,c_158]) ).
tff(c_98816,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95222,c_60]) ).
tff(c_98817,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_98816]) ).
tff(c_98818,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_98817]) ).
tff(c_98824,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98818,c_120]) ).
tff(c_98832,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98824,c_95227,c_14]) ).
tff(c_98833,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_98832]) ).
tff(c_98839,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98833,c_178]) ).
tff(c_98882,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98833,c_97827,c_300]) ).
tff(c_98883,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_202,c_198,c_98839,c_98882]) ).
tff(c_98884,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_98832]) ).
tff(c_99046,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98818,c_98884,c_95222,c_64]) ).
tff(c_99047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_98808,c_202,c_99046]) ).
tff(c_99048,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_98817]) ).
tff(c_99052,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_99048]) ).
tff(c_99056,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99052,c_162]) ).
tff(c_98804,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_97858]) ).
tff(c_99084,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98805,c_99052,c_268]) ).
tff(c_99085,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_99056,c_98804,c_99084]) ).
tff(c_99086,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_99048]) ).
tff(c_99312,plain,
( ( op(e0,e1) = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99086,c_97827,c_300]) ).
tff(c_99313,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_84666,c_198,c_198,c_99312]) ).
tff(c_99317,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99313,c_144]) ).
tff(c_99049,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_98817]) ).
tff(c_99102,plain,
( ( op(e3,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_94121,c_99049,c_90]) ).
tff(c_99103,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_99102]) ).
tff(c_99109,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99103,c_130]) ).
tff(c_99122,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98805,c_268]) ).
tff(c_99123,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_95226,c_99109,c_98804,c_99122]) ).
tff(c_99124,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_99102]) ).
tff(c_99260,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99086,c_95222,c_64]) ).
tff(c_99261,plain,
op(e2,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_98808,c_202,c_99260]) ).
tff(c_97850,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97845,c_128]) ).
tff(c_99125,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_99102]) ).
tff(c_96701,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_95233]) ).
tff(c_99220,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_97850,c_99125,c_96701,c_24]) ).
tff(c_99158,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_88]) ).
tff(c_99159,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_97829,c_198,c_99158]) ).
tff(c_99160,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_99159]) ).
tff(c_99292,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99124,c_99261,c_99220,c_99160,c_332]) ).
tff(c_99293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_202,c_196,c_202,c_99292]) ).
tff(c_99295,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_99159]) ).
tff(c_99344,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_97850,c_99125,c_96701,c_24]) ).
tff(c_99349,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99344,c_192]) ).
tff(c_99401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99317,c_94121,c_99295,c_99349,c_32]) ).
tff(c_99402,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_98803]) ).
tff(c_99409,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99402,c_118]) ).
tff(c_99408,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99402,c_114]) ).
tff(c_99416,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_99408,c_95227,c_14]) ).
tff(c_99417,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_99416]) ).
tff(c_99422,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99417,c_120]) ).
tff(c_99444,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99402,c_54]) ).
tff(c_99445,plain,
( ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_97828,c_202,c_99444]) ).
tff(c_99446,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_99445]) ).
tff(c_99462,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99402,c_99446,c_268]) ).
tff(c_99463,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_202,c_99462]) ).
tff(c_99467,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99463,c_130]) ).
tff(c_99522,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_97850,c_99467,c_96701,c_24]) ).
tff(c_99527,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99522,c_186]) ).
tff(c_99566,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99409,c_99422,c_95228,c_99527,c_16]) ).
tff(c_99568,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_99445]) ).
tff(c_99427,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94121,c_32]) ).
tff(c_99428,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_99427]) ).
tff(c_99595,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99428,c_94123,c_88]) ).
tff(c_99596,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_97829,c_99568,c_198,c_99595]) ).
tff(c_99597,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_99427]) ).
tff(c_99602,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_99597]) ).
tff(c_99606,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_99602,c_190]) ).
tff(c_99759,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99417,c_99402,c_95222,c_52]) ).
tff(c_99760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99606,c_196,c_200,c_194,c_99759]) ).
tff(c_99761,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_99597]) ).
tff(c_99768,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99761,c_142]) ).
tff(c_99775,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99402,c_54]) ).
tff(c_99776,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_99768,c_97828,c_202,c_99775]) ).
tff(c_99796,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99776,c_84663,c_48]) ).
tff(c_99797,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_99796]) ).
tff(c_99798,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_99797]) ).
tff(c_99803,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99798,c_108]) ).
tff(c_99420,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99417,c_170]) ).
tff(c_99864,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99803,c_99420,c_97830,c_84666,c_6]) ).
tff(c_99865,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_99797]) ).
tff(c_99870,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99865,c_176]) ).
tff(c_99948,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99761,c_94123,c_84]) ).
tff(c_99949,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_99948]) ).
tff(c_99950,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_99949]) ).
tff(c_99984,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99865,c_99417,c_97827,c_99950,c_300]) ).
tff(c_99985,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_198,c_200,c_99984]) ).
tff(c_99986,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_99949]) ).
tff(c_100027,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99761,c_99986,c_94123,c_96]) ).
tff(c_100028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_99870,c_200,c_204,c_100027]) ).
tff(c_100029,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_99416]) ).
tff(c_99403,plain,
op(e3,e2) != e0,
inference(splitRight,[status(thm)],[c_98803]) ).
tff(c_100043,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_48]) ).
tff(c_100044,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_99403,c_200,c_100043]) ).
tff(c_100045,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_100044]) ).
tff(c_100153,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100029,c_99402,c_95222,c_60]) ).
tff(c_100154,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_100153]) ).
tff(c_100158,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_100154,c_186]) ).
tff(c_100165,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_97850,c_100158,c_96701,c_24]) ).
tff(c_100056,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99402,c_54]) ).
tff(c_100057,plain,
( ( op(e3,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_97828,c_202,c_100056]) ).
tff(c_100058,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_100057]) ).
tff(c_100061,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100058,c_164]) ).
tff(c_100050,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100045,c_108]) ).
tff(c_100069,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_100050,c_97830,c_84666,c_6]) ).
tff(c_100079,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100045,c_100069,c_84663,c_40]) ).
tff(c_100080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_100061,c_194,c_100079]) ).
tff(c_100082,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_100057]) ).
tff(c_100109,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94123,c_88]) ).
tff(c_100110,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_97829,c_100082,c_198,c_100109]) ).
tff(c_100253,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100045,c_100154,c_100165,c_100110,c_332]) ).
tff(c_100254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_196,c_202,c_100253]) ).
tff(c_100255,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_100044]) ).
tff(c_100364,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97827,c_100029,c_100255,c_74]) ).
tff(c_100365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94128,c_198,c_196,c_204,c_100364]) ).
tff(c_100367,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_94120]) ).
tff(c_101063,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_101036,c_82]) ).
tff(c_101064,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_101063]) ).
tff(c_101065,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_101064]) ).
tff(c_100366,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_94120]) ).
tff(c_100379,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_100366]) ).
tff(c_100384,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_100379,c_138]) ).
tff(c_100372,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_116]) ).
tff(c_101043,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101036,c_106]) ).
tff(c_101048,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101036,c_84663,c_48]) ).
tff(c_101049,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_101048]) ).
tff(c_101050,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_101049]) ).
tff(c_101056,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101050,c_102]) ).
tff(c_100373,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_118]) ).
tff(c_101076,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100373,c_12]) ).
tff(c_101077,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_101076]) ).
tff(c_101093,plain,
( ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101077,c_62]) ).
tff(c_101094,plain,
( ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_101056,c_101093]) ).
tff(c_101095,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_101094]) ).
tff(c_101069,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101065,c_192]) ).
tff(c_101114,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_101069,c_84665,c_68]) ).
tff(c_101115,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_101114]) ).
tff(c_101118,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101115,c_174]) ).
tff(c_101192,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_101077,c_52]) ).
tff(c_101193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_101118,c_196,c_84669,c_101192]) ).
tff(c_101194,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_101114]) ).
tff(c_101212,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101095,c_101194,c_101077,c_54]) ).
tff(c_101213,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_101043,c_101212]) ).
tff(c_101215,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_101094]) ).
tff(c_101214,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_101094]) ).
tff(c_101232,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101077,c_101214,c_268]) ).
tff(c_101233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_198,c_204,c_101215,c_101232]) ).
tff(c_101234,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_101076]) ).
tff(c_101236,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_101234]) ).
tff(c_101241,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101236,c_162]) ).
tff(c_101248,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_101249,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100372,c_200,c_101248]) ).
tff(c_101250,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_101249]) ).
tff(c_101255,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101250,c_134]) ).
tff(c_101328,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101236,c_62]) ).
tff(c_101329,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_101255,c_200,c_101056,c_101328]) ).
tff(c_101342,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101236,c_101329,c_268]) ).
tff(c_101343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_204,c_101255,c_101342]) ).
tff(c_101344,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_101249]) ).
tff(c_101357,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101344,c_72]) ).
tff(c_101358,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_101041,c_202,c_101357]) ).
tff(c_101359,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_101358]) ).
tff(c_101427,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101359,c_101344,c_68]) ).
tff(c_101428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_101069,c_194,c_101241,c_200,c_101427]) ).
tff(c_101429,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_101358]) ).
tff(c_101470,plain,
( ( op(e0,e2) = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101236,c_101429,c_268]) ).
tff(c_101471,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_198,c_101470]) ).
tff(c_101486,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101065,c_100379,c_101471,c_88]) ).
tff(c_101487,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_101486]) ).
tff(c_101491,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101487,c_154]) ).
tff(c_101514,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_100372,c_101491,c_84669,c_10]) ).
tff(c_101570,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_101514,c_101344,c_101487,c_220]) ).
tff(c_101571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_101570]) ).
tff(c_101572,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_101234]) ).
tff(c_101590,plain,
( ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101572,c_58]) ).
tff(c_101591,plain,
( ( op(e3,e2) = e1 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100384,c_198,c_101590]) ).
tff(c_101592,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_101591]) ).
tff(c_101600,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_101592,c_130]) ).
tff(c_101605,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101065,c_100368,c_101036,c_90]) ).
tff(c_101606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_101600,c_204,c_198,c_101605]) ).
tff(c_101607,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_101591]) ).
tff(c_101620,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101065,c_100368,c_101036,c_90]) ).
tff(c_101621,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_101620]) ).
tff(c_101580,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101572,c_114]) ).
tff(c_101637,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100379,c_101050,c_70]) ).
tff(c_101638,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_101580,c_202,c_101637]) ).
tff(c_101650,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101621,c_101638,c_68]) ).
tff(c_101651,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_84665,c_101650]) ).
tff(c_101667,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101607,c_101572,c_101651,c_260]) ).
tff(c_101668,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_196,c_101667]) ).
tff(c_101705,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101065,c_100379,c_101668,c_88]) ).
tff(c_101706,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_101705]) ).
tff(c_101672,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101668,c_134]) ).
tff(c_101694,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_101695,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_101672,c_100372,c_200,c_101694]) ).
tff(c_101755,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101706,c_101695,c_84663,c_42]) ).
tff(c_101756,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_101755]) ).
tff(c_101775,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_101756,c_101695,c_101706,c_220]) ).
tff(c_101776,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_202,c_101775]) ).
tff(c_101777,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_101064]) ).
tff(c_101971,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101036,c_100368,c_101777,c_332]) ).
tff(c_101972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_100371,c_101971]) ).
tff(c_101973,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_101049]) ).
tff(c_101977,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101973,c_164]) ).
tff(c_101985,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_101036,c_82]) ).
tff(c_101986,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_101985]) ).
tff(c_101987,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_101986]) ).
tff(c_101991,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101987,c_192]) ).
tff(c_102149,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e2) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102001,c_68]) ).
tff(c_102150,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_101991,c_194,c_84665,c_102149]) ).
tff(c_102165,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( op(e2,e2) != e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101973,c_102150,c_260]) ).
tff(c_102166,plain,
op(e2,e2) != e2,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_101977,c_102165]) ).
tff(c_102171,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102150,c_101973,c_54]) ).
tff(c_102172,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_102166,c_202,c_102171]) ).
tff(c_102177,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102172,c_134]) ).
tff(c_102200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102194,c_100367,c_102177,c_84664,c_26]) ).
tff(c_102202,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_102000]) ).
tff(c_102219,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100373,c_12]) ).
tff(c_102220,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_102219]) ).
tff(c_102223,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102220,c_162]) ).
tff(c_102238,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101973,c_102220,c_268]) ).
tff(c_102239,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_102223,c_101977,c_102238]) ).
tff(c_102240,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_102219]) ).
tff(c_102242,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_102240]) ).
tff(c_102261,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101973,c_102242,c_268]) ).
tff(c_102262,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_101977,c_102261]) ).
tff(c_102268,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102262,c_130]) ).
tff(c_102308,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101987,c_100368,c_101036,c_90]) ).
tff(c_102309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_102268,c_204,c_198,c_102308]) ).
tff(c_102310,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_102240]) ).
tff(c_102317,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102310,c_114]) ).
tff(c_101042,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101036,c_108]) ).
tff(c_102334,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100379,c_70]) ).
tff(c_102335,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_102202,c_102317,c_101042,c_102334]) ).
tff(c_102336,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_101986]) ).
tff(c_102469,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101036,c_100368,c_102336,c_332]) ).
tff(c_102470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_196,c_100371,c_102469]) ).
tff(c_102471,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_101034]) ).
tff(c_102525,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_102471,c_332]) ).
tff(c_102526,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_202,c_198,c_100371,c_102525]) ).
tff(c_102527,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_100366]) ).
tff(c_102540,plain,
( ( e1 = e0 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102527,c_248]) ).
tff(c_102541,plain,
( ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_102540]) ).
tff(c_102542,plain,
op(e2,e3) != e2,
inference(splitLeft,[status(thm)],[c_102541]) ).
tff(c_102806,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102527,c_62]) ).
tff(c_102807,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_100373,c_102806]) ).
tff(c_102808,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_102807]) ).
tff(c_102812,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102808,c_122]) ).
tff(c_102832,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_102833,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_102812,c_100372,c_200,c_102832]) ).
tff(c_102528,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_100366]) ).
tff(c_102543,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_102528,c_30]) ).
tff(c_102544,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_102543]) ).
tff(c_102550,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102544,c_136]) ).
tff(c_102565,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_102566,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_102550,c_100372,c_200,c_102565]) ).
tff(c_102578,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_82]) ).
tff(c_102579,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_84668,c_102578]) ).
tff(c_102580,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_102579]) ).
tff(c_102711,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102580,c_102544,c_102527,c_88]) ).
tff(c_102712,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_102711]) ).
tff(c_102722,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_102566,c_102712,c_220]) ).
tff(c_102723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102542,c_204,c_202,c_102722]) ).
tff(c_102724,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_102579]) ).
tff(c_102735,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102724,c_100368,c_86]) ).
tff(c_102736,plain,
( ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_102735]) ).
tff(c_102737,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_102736]) ).
tff(c_102759,plain,
( ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_102544,c_102737,c_328]) ).
tff(c_102760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_202,c_102759]) ).
tff(c_102761,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_102736]) ).
tff(c_102785,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102761,c_100368,c_102544,c_328]) ).
tff(c_102786,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_100371,c_102785]) ).
tff(c_102787,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_102543]) ).
tff(c_102789,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_102787]) ).
tff(c_102794,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102789,c_180]) ).
tff(c_102860,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102808,c_68]) ).
tff(c_102861,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_102794,c_200,c_84665,c_102860]) ).
tff(c_102795,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102789,c_144]) ).
tff(c_102821,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_100371,c_94121,c_102795,c_32]) ).
tff(c_103050,plain,
( ( e3 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102833,c_100368,c_102861,c_102821,c_316]) ).
tff(c_103051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_196,c_103050]) ).
tff(c_103053,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_102807]) ).
tff(c_102531,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_102527,c_168]) ).
tff(c_103084,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_103085,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100372,c_200,c_103084]) ).
tff(c_103086,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_103085]) ).
tff(c_103091,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_103086,c_156]) ).
tff(c_103066,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_86]) ).
tff(c_103067,plain,
( ( op(e3,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_103066]) ).
tff(c_103068,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_103067]) ).
tff(c_103072,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103068,c_188]) ).
tff(c_103052,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_102807]) ).
tff(c_103117,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103052,c_84663,c_40]) ).
tff(c_103118,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_103072,c_202,c_194,c_103117]) ).
tff(c_103122,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103118,c_172]) ).
tff(c_103096,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103068,c_100368,c_82]) ).
tff(c_103097,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_84668,c_103096]) ).
tff(c_103171,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103097,c_72]) ).
tff(c_103172,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_103122,c_103171]) ).
tff(c_103173,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_103172]) ).
tff(c_103178,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103173,c_122]) ).
tff(c_103192,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103091,c_94122,c_103178,c_84665,c_18]) ).
tff(c_103194,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_103172]) ).
tff(c_103102,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103097,c_130]) ).
tff(c_103255,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103053,c_102531,c_103194,c_103102,c_20]) ).
tff(c_103257,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_103085]) ).
tff(c_103256,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_103085]) ).
tff(c_103416,plain,
( ( op(e0,e3) = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_103256,c_220]) ).
tff(c_103417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102542,c_204,c_103257,c_103416]) ).
tff(c_103419,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_103067]) ).
tff(c_103433,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_46]) ).
tff(c_103434,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100372,c_200,c_103433]) ).
tff(c_103435,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_103434]) ).
tff(c_103551,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102789,c_102527,c_103435,c_88]) ).
tff(c_103552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103419,c_194,c_198,c_202,c_103551]) ).
tff(c_103553,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_103434]) ).
tff(c_103637,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102789,c_102527,c_88]) ).
tff(c_103638,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_103419,c_194,c_198,c_103637]) ).
tff(c_103651,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_103553,c_103638,c_220]) ).
tff(c_103652,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_102542,c_204,c_202,c_103651]) ).
tff(c_103653,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_102787]) ).
tff(c_103657,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103653,c_178]) ).
tff(c_103673,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_84665,c_68]) ).
tff(c_103674,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_103673]) ).
tff(c_103677,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_103674,c_192]) ).
tff(c_103765,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103653,c_102527,c_84]) ).
tff(c_103766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_103677,c_194,c_196,c_84664,c_103765]) ).
tff(c_103767,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_103673]) ).
tff(c_103769,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_103767]) ).
tff(c_103829,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) != e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103769,c_102527,c_260]) ).
tff(c_103830,plain,
op(e2,e2) != e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_196,c_204,c_103829]) ).
tff(c_103856,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_56]) ).
tff(c_103857,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_103657,c_103830,c_102542,c_103856]) ).
tff(c_103858,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_103767]) ).
tff(c_103943,plain,
( ( e2 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103858,c_103653,c_300]) ).
tff(c_103944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_103657,c_196,c_202,c_103943]) ).
tff(c_103946,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_102541]) ).
tff(c_103952,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103946,c_112]) ).
tff(c_104167,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_103946,c_84663,c_46]) ).
tff(c_104168,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_104167]) ).
tff(c_104169,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_104168]) ).
tff(c_104175,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104169,c_156]) ).
tff(c_103950,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_103946,c_150]) ).
tff(c_104194,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104175,c_94122,c_103950,c_84665,c_18]) ).
tff(c_104195,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_104168]) ).
tff(c_104201,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104195,c_122]) ).
tff(c_103957,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_102528,c_30]) ).
tff(c_103958,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_103957]) ).
tff(c_104004,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_103958,c_328]) ).
tff(c_104005,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_202,c_100371,c_104004]) ).
tff(c_104006,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_103957]) ).
tff(c_104009,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_104006]) ).
tff(c_100374,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100368,c_120]) ).
tff(c_104021,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104009,c_78]) ).
tff(c_104022,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_100374,c_104021]) ).
tff(c_104023,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_104022]) ).
tff(c_104012,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104009,c_178]) ).
tff(c_104037,plain,
op(e2,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_100374,c_103952,c_104012,c_14]) ).
tff(c_104080,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104009,c_104023,c_104037,c_70]) ).
tff(c_104081,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_104080]) ).
tff(c_104106,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104081,c_104037,c_104023,c_104009,c_300]) ).
tff(c_104107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_204,c_200,c_104106]) ).
tff(c_104108,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_104022]) ).
tff(c_104123,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104108,c_102]) ).
tff(c_104209,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102527,c_62]) ).
tff(c_104210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_104201,c_100373,c_104123,c_104209]) ).
tff(c_104211,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_104006]) ).
tff(c_104227,plain,
( ( e2 = e0 )
| ( op(e1,e1) != e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104211,c_296]) ).
tff(c_104228,plain,
op(e1,e1) != e1,
inference(negUnitSimplification,[status(thm)],[c_84666,c_103952,c_202,c_104227]) ).
tff(c_104341,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104211,c_300]) ).
tff(c_104342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_103952,c_104228,c_202,c_104341]) ).
tff(c_104343,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_105760,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_104343]) ).
tff(c_105764,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105760,c_150]) ).
tff(c_105763,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105760,c_154]) ).
tff(c_105777,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_105763,c_100367,c_84664,c_26]) ).
tff(c_105781,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105777,c_156]) ).
tff(c_105870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105764,c_94122,c_105781,c_84665,c_18]) ).
tff(c_105871,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_104343]) ).
tff(c_105873,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_105871]) ).
tff(c_105022,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_100366]) ).
tff(c_105025,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105022,c_180]) ).
tff(c_105137,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_104343]) ).
tff(c_105140,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105137,c_154]) ).
tff(c_104357,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_100366]) ).
tff(c_104360,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104357,c_180]) ).
tff(c_104370,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_104343]) ).
tff(c_104375,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104370,c_110]) ).
tff(c_104345,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_84665,c_68]) ).
tff(c_104346,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_104345]) ).
tff(c_104350,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104346,c_132]) ).
tff(c_104385,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104357,c_66]) ).
tff(c_104386,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_104350,c_84666,c_104385]) ).
tff(c_104391,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104386,c_114]) ).
tff(c_104419,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_104375,c_104391,c_12]) ).
tff(c_104420,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_104419]) ).
tff(c_104425,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104420,c_162]) ).
tff(c_104373,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104370,c_154]) ).
tff(c_104397,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_104373,c_100367,c_84664,c_26]) ).
tff(c_104402,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104397,c_140]) ).
tff(c_104349,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104346,c_192]) ).
tff(c_104408,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_94121,c_104402,c_104349,c_32]) ).
tff(c_104414,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104408,c_142]) ).
tff(c_104458,plain,
( ( op(e0,e2) = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104420,c_268]) ).
tff(c_104459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_198,c_104425,c_104414,c_104458]) ).
tff(c_104460,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_104419]) ).
tff(c_104511,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e2) != e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104357,c_292]) ).
tff(c_104512,plain,
op(e1,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_84666,c_104360,c_204,c_104511]) ).
tff(c_104467,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104460,c_162]) ).
tff(c_104351,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_104346,c_130]) ).
tff(c_104518,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_104512,c_104467,c_104351,c_20]) ).
tff(c_104362,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104357,c_138]) ).
tff(c_104403,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104397,c_134]) ).
tff(c_104473,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_104414,c_104362,c_104403,c_28]) ).
tff(c_104538,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104460,c_104518,c_104473,c_260]) ).
tff(c_104539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_204,c_200,c_104538]) ).
tff(c_104540,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_104343]) ).
tff(c_104542,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_104540]) ).
tff(c_104545,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104542,c_174]) ).
tff(c_104560,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_104351,c_20]) ).
tff(c_104561,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_104560]) ).
tff(c_104563,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104561,c_168]) ).
tff(c_104577,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104561,c_268]) ).
tff(c_104578,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_204,c_104563,c_104577]) ).
tff(c_104613,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104357,c_84]) ).
tff(c_104614,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_104349,c_196,c_84664,c_104613]) ).
tff(c_104630,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104578,c_104561,c_104614,c_260]) ).
tff(c_104631,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_204,c_200,c_104630]) ).
tff(c_104632,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_104560]) ).
tff(c_104634,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_104632]) ).
tff(c_104641,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_104634,c_126]) ).
tff(c_104712,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_104545,c_104360,c_104641,c_104350,c_22]) ).
tff(c_104713,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_104632]) ).
tff(c_104777,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104713,c_104357,c_292]) ).
tff(c_104778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_104360,c_204,c_104777]) ).
tff(c_104779,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_104540]) ).
tff(c_104783,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104779,c_162]) ).
tff(c_104809,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_104783,c_104351,c_20]) ).
tff(c_104810,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_104809]) ).
tff(c_104871,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104810,c_104357,c_292]) ).
tff(c_104872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_104360,c_204,c_104871]) ).
tff(c_104873,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_104809]) ).
tff(c_104791,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104779,c_50]) ).
tff(c_104792,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_104351,c_200,c_84667,c_104791]) ).
tff(c_104908,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104779,c_104873,c_104792,c_268]) ).
tff(c_104909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_198,c_200,c_104908]) ).
tff(c_104910,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_100366]) ).
tff(c_104914,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104910,c_168]) ).
tff(c_104986,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104910,c_268]) ).
tff(c_104987,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_104914,c_204,c_104986]) ).
tff(c_105018,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104987,c_104910,c_260]) ).
tff(c_105019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_104914,c_204,c_105018]) ).
tff(c_105020,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_104345]) ).
tff(c_105033,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_105020]) ).
tff(c_105044,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105033,c_72]) ).
tff(c_105045,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_105044]) ).
tff(c_105046,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_105045]) ).
tff(c_105049,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105046,c_186]) ).
tff(c_105034,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105033,c_168]) ).
tff(c_105083,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105022,c_84]) ).
tff(c_105084,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_105034,c_84664,c_105083]) ).
tff(c_105118,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105046,c_105084,c_332]) ).
tff(c_105119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_105049,c_198,c_200,c_105118]) ).
tff(c_105120,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_105045]) ).
tff(c_105122,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_105120]) ).
tff(c_105125,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105122,c_156]) ).
tff(c_105205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105140,c_100367,c_105125,c_84664,c_26]) ).
tff(c_105206,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_104343]) ).
tff(c_105209,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_105206]) ).
tff(c_105292,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105209,c_105022,c_300]) ).
tff(c_105293,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_202,c_105025,c_204,c_105292]) ).
tff(c_105294,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_105206]) ).
tff(c_105297,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105294,c_166]) ).
tff(c_105463,plain,
( ( op(e0,e2) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105294,c_105033,c_268]) ).
tff(c_105464,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_196,c_105297,c_105463]) ).
tff(c_105465,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_105120]) ).
tff(c_105470,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_105465,c_174]) ).
tff(c_105744,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105465,c_105022,c_300]) ).
tff(c_105745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_105470,c_198,c_204,c_105744]) ).
tff(c_105746,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_105020]) ).
tff(c_105995,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105873,c_105746,c_105022,c_300]) ).
tff(c_105996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_202,c_196,c_204,c_105995]) ).
tff(c_105997,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_105871]) ).
tff(c_106001,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105997,c_162]) ).
tff(c_105747,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_105020]) ).
tff(c_106156,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_106001,c_105747,c_20]) ).
tff(c_106157,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_106156]) ).
tff(c_106197,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106157,c_105746,c_105022,c_292]) ).
tff(c_106198,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_196,c_204,c_106197]) ).
tff(c_106199,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_106156]) ).
tff(c_105999,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105997,c_166]) ).
tff(c_105027,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105022,c_138]) ).
tff(c_106203,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106199,c_168]) ).
tff(c_106236,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_105999,c_105027,c_106203,c_28]) ).
tff(c_106257,plain,
( ( e3 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105997,c_106199,c_106236,c_268]) ).
tff(c_106258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_198,c_200,c_106257]) ).
tff(c_106259,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_100366]) ).
tff(c_106263,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106259,c_168]) ).
tff(c_106403,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_104343]) ).
tff(c_106408,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106403,c_110]) ).
tff(c_106262,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_106259,c_166]) ).
tff(c_106608,plain,
( ( op(e2,e2) = e3 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_106408,c_106262,c_12]) ).
tff(c_106609,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_106608]) ).
tff(c_106683,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106609,c_106259,c_260]) ).
tff(c_106684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_106263,c_204,c_106683]) ).
tff(c_106685,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_106608]) ).
tff(c_106737,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106685,c_106259,c_268]) ).
tff(c_106738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_106263,c_204,c_106737]) ).
tff(c_106739,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_104343]) ).
tff(c_106741,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_106739]) ).
tff(c_106744,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106741,c_178]) ).
tff(c_106271,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_105020]) ).
tff(c_106362,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106271,c_106259,c_268]) ).
tff(c_106363,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_196,c_204,c_106362]) ).
tff(c_106385,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106363,c_106271,c_106259,c_260]) ).
tff(c_106386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_196,c_204,c_106385]) ).
tff(c_106387,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_105020]) ).
tff(c_106941,plain,
( ( op(e0,e1) = e0 )
| ( e3 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106741,c_106387,c_300]) ).
tff(c_106942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84666,c_202,c_196,c_106744,c_106941]) ).
tff(c_106943,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_106739]) ).
tff(c_106947,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106943,c_162]) ).
tff(c_106955,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106387,c_72]) ).
tff(c_106956,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_106955]) ).
tff(c_106957,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_106956]) ).
tff(c_106962,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106957,c_130]) ).
tff(c_106388,plain,
op(e1,e2) != e3,
inference(splitRight,[status(thm)],[c_105020]) ).
tff(c_106969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106947,c_106263,c_106962,c_106388,c_20]) ).
tff(c_106970,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_106956]) ).
tff(c_106972,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_106970]) ).
tff(c_106977,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_106972,c_122]) ).
tff(c_106995,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106947,c_106263,c_106977,c_106388,c_20]) ).
tff(c_106996,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_106970]) ).
tff(c_107008,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106943,c_106996,c_106259,c_268]) ).
tff(c_107009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_202,c_198,c_204,c_107008]) ).
tff(c_107011,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_272]) ).
tff(c_109595,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_150]) ).
tff(c_107017,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_122]) ).
tff(c_107019,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_128]) ).
tff(c_107012,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84669,c_10]) ).
tff(c_107013,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_107012]) ).
tff(c_107027,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107013,c_110]) ).
tff(c_107034,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_84667,c_50]) ).
tff(c_107035,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_107034]) ).
tff(c_107277,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107035,c_62]) ).
tff(c_107278,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_107027,c_107277]) ).
tff(c_107279,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_107278]) ).
tff(c_107283,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107279,c_160]) ).
tff(c_107065,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_107066,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_107065]) ).
tff(c_107067,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_107066]) ).
tff(c_107069,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107067,c_182]) ).
tff(c_107070,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107067,c_188]) ).
tff(c_107039,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107035,c_142]) ).
tff(c_107101,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_94121,c_107070,c_107039,c_32]) ).
tff(c_107146,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107067,c_107101,c_330]) ).
tff(c_107147,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_107069,c_107019,c_107146]) ).
tff(c_107148,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_107066]) ).
tff(c_107150,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_107148]) ).
tff(c_107152,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107150,c_158]) ).
tff(c_107165,plain,
( ( e3 = e0 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107150,c_107035,c_264]) ).
tff(c_107166,plain,
op(e2,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_107152,c_200,c_107165]) ).
tff(c_107018,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_124]) ).
tff(c_107202,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107150,c_84663,c_48]) ).
tff(c_107203,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_107202]) ).
tff(c_107204,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_107203]) ).
tff(c_107210,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107204,c_108]) ).
tff(c_107015,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_156]) ).
tff(c_107050,plain,
( ( op(e0,e1) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107035,c_94120]) ).
tff(c_107051,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_107015,c_196,c_107050]) ).
tff(c_107054,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107051,c_176]) ).
tff(c_107154,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107150,c_102]) ).
tff(c_107229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107210,c_107054,c_107154,c_84666,c_6]) ).
tff(c_107230,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_107203]) ).
tff(c_107250,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107230,c_107051,c_300]) ).
tff(c_107251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_107166,c_107018,c_204,c_107250]) ).
tff(c_107252,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_107148]) ).
tff(c_107351,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107252,c_84663,c_48]) ).
tff(c_107352,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_107283,c_200,c_107351]) ).
tff(c_107355,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107352,c_188]) ).
tff(c_107284,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107279,c_126]) ).
tff(c_107257,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_107252,c_172]) ).
tff(c_107290,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_107039,c_84668,c_82]) ).
tff(c_107291,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_107290]) ).
tff(c_107297,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107291,c_132]) ).
tff(c_107332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107284,c_107018,c_107257,c_107297,c_22]) ).
tff(c_107333,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_107290]) ).
tff(c_107362,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107352,c_107333,c_332]) ).
tff(c_107363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_107019,c_107355,c_107362]) ).
tff(c_107364,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_107278]) ).
tff(c_107037,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107035,c_166]) ).
tff(c_107410,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_94121,c_107019,c_90]) ).
tff(c_107411,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_107410]) ).
tff(c_107441,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107411,c_107013,c_52]) ).
tff(c_107442,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_107037,c_200,c_107441]) ).
tff(c_107462,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107252,c_107442,c_107051,c_300]) ).
tff(c_107463,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_107018,c_204,c_107462]) ).
tff(c_107464,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_107410]) ).
tff(c_107469,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107464,c_182]) ).
tff(c_107053,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107051,c_178]) ).
tff(c_107478,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107013,c_60]) ).
tff(c_107479,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_107469,c_107053,c_204,c_107478]) ).
tff(c_107508,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107364,c_107479,c_107035,c_268]) ).
tff(c_107509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_198,c_107017,c_200,c_107508]) ).
tff(c_107510,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_107034]) ).
tff(c_107512,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_107510]) ).
tff(c_107806,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107512,c_266]) ).
tff(c_107807,plain,
op(e2,e0) != e2,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_107017,c_107806]) ).
tff(c_107516,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107512,c_162]) ).
tff(c_108141,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107017,c_107516,c_20]) ).
tff(c_108142,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_108141]) ).
tff(c_108145,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108142,c_168]) ).
tff(c_108172,plain,
( ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107512,c_108142,c_268]) ).
tff(c_108173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_204,c_108145,c_108172]) ).
tff(c_108174,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_108141]) ).
tff(c_108180,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108174,c_130]) ).
tff(c_107517,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107512,c_114]) ).
tff(c_107527,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107015,c_94120]) ).
tff(c_107528,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_107527]) ).
tff(c_107788,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107512,c_107528,c_268]) ).
tff(c_107789,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_107017,c_204,c_107788]) ).
tff(c_107790,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_107527]) ).
tff(c_107808,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107790,c_66]) ).
tff(c_107809,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_107517,c_84666,c_107808]) ).
tff(c_107814,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107809,c_132]) ).
tff(c_108207,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_107019,c_108180,c_107814,c_24]) ).
tff(c_107821,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94121,c_32]) ).
tff(c_107822,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_107821]) ).
tff(c_107912,plain,
( ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107822,c_330]) ).
tff(c_107913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_107807,c_107019,c_107912]) ).
tff(c_107914,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_107821]) ).
tff(c_107916,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_107914]) ).
tff(c_108248,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108207,c_107916,c_332]) ).
tff(c_108249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_107807,c_204,c_200,c_108248]) ).
tff(c_108250,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_107914]) ).
tff(c_108266,plain,
( ( e2 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108250,c_332]) ).
tff(c_108267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84668,c_107807,c_107019,c_202,c_108266]) ).
tff(c_108268,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_107510]) ).
tff(c_108274,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_108268,c_126]) ).
tff(c_108284,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_107015,c_94120]) ).
tff(c_108285,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_108284]) ).
tff(c_108296,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_108297,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_108296]) ).
tff(c_108298,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_108297]) ).
tff(c_108302,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_182]) ).
tff(c_108319,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e1) != e0 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108298,c_328]) ).
tff(c_108320,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e1) != e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_108302,c_108319]) ).
tff(c_108321,plain,
op(e0,e1) != e0,
inference(splitLeft,[status(thm)],[c_108320]) ).
tff(c_108495,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_84666,c_107018,c_108321,c_300]) ).
tff(c_108500,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108495,c_114]) ).
tff(c_108556,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108268,c_108285,c_268]) ).
tff(c_108557,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_108500,c_196,c_204,c_108556]) ).
tff(c_108559,plain,
op(e0,e1) = e0,
inference(splitRight,[status(thm)],[c_108320]) ).
tff(c_108564,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108559,c_144]) ).
tff(c_108558,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_108320]) ).
tff(c_108570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108564,c_108558]) ).
tff(c_108571,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_108297]) ).
tff(c_108575,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_108571]) ).
tff(c_108750,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108285,c_108268,c_108575,c_62]) ).
tff(c_108751,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_107027,c_202,c_108750]) ).
tff(c_108752,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_108571]) ).
tff(c_108755,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108752,c_170]) ).
tff(c_107028,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_107013,c_112]) ).
tff(c_108764,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108752,c_78]) ).
tff(c_108765,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107028,c_202,c_108764]) ).
tff(c_108766,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_108765]) ).
tff(c_108770,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108766,c_144]) ).
tff(c_108778,plain,
( ( op(e0,e0) = e0 )
| ( op(e2,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108766,c_328]) ).
tff(c_108779,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_84668,c_108770,c_108778]) ).
tff(c_108784,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108779,c_118]) ).
tff(c_108795,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108268,c_108779,c_266]) ).
tff(c_108796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_108784,c_196,c_108795]) ).
tff(c_108798,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_108765]) ).
tff(c_108797,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_108765]) ).
tff(c_108850,plain,
( ( op(e0,e1) = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108752,c_108797,c_300]) ).
tff(c_108851,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_108755,c_204,c_108798,c_108850]) ).
tff(c_108852,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_108284]) ).
tff(c_108985,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_108852,c_284]) ).
tff(c_108986,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_107018,c_204,c_108985]) ).
tff(c_108991,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_108986,c_114]) ).
tff(c_108889,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108268,c_62]) ).
tff(c_108890,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_107027,c_108889]) ).
tff(c_108891,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_108890]) ).
tff(c_108894,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_108891,c_164]) ).
tff(c_108866,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84663,c_40]) ).
tff(c_108867,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_108866]) ).
tff(c_108868,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_108867]) ).
tff(c_108931,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108868,c_84663,c_48]) ).
tff(c_108932,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_108894,c_200,c_108931]) ).
tff(c_108951,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108932,c_108852,c_300]) ).
tff(c_108952,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_200,c_107018,c_204,c_108951]) ).
tff(c_108971,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108852,c_108952,c_108932,c_66]) ).
tff(c_108972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_108274,c_194,c_200,c_108971]) ).
tff(c_108974,plain,
op(e0,e2) != e0,
inference(splitRight,[status(thm)],[c_108890]) ).
tff(c_108973,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_108890]) ).
tff(c_109087,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108973,c_108986,c_264]) ).
tff(c_109088,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_108991,c_108974,c_109087]) ).
tff(c_109089,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_108867]) ).
tff(c_109091,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_109089]) ).
tff(c_109094,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109091,c_158]) ).
tff(c_109133,plain,
( ( op(e2,e0) != e2 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109091,c_108268,c_266]) ).
tff(c_109134,plain,
op(e2,e0) != e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_109094,c_196,c_109133]) ).
tff(c_109105,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109091,c_264]) ).
tff(c_109106,plain,
( ( op(e0,e2) = e0 )
| ( op(e2,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_109094,c_109105]) ).
tff(c_109107,plain,
op(e2,e1) != e2,
inference(splitLeft,[status(thm)],[c_109106]) ).
tff(c_109142,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107013,c_56]) ).
tff(c_109143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109134,c_109107,c_109094,c_202,c_109142]) ).
tff(c_109145,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_109106]) ).
tff(c_109191,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109091,c_84663,c_48]) ).
tff(c_109192,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_109191]) ).
tff(c_109193,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_109192]) ).
tff(c_109199,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_109193,c_108]) ).
tff(c_108855,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_108852,c_176]) ).
tff(c_109095,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109091,c_102]) ).
tff(c_109224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109199,c_108855,c_109095,c_84666,c_6]) ).
tff(c_109225,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_109192]) ).
tff(c_109271,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108852,c_109145,c_109225,c_66]) ).
tff(c_109272,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_108274,c_194,c_200,c_109271]) ).
tff(c_109273,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_109089]) ).
tff(c_109277,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109273,c_170]) ).
tff(c_109589,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109273,c_108852,c_300]) ).
tff(c_109590,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_109277,c_107018,c_204,c_109589]) ).
tff(c_109591,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_107012]) ).
tff(c_109653,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_109595,c_109591]) ).
tff(c_109659,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109653,c_112]) ).
tff(c_109658,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109653,c_110]) ).
tff(c_109596,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_122]) ).
tff(c_109615,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_109595,c_109591]) ).
tff(c_109620,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_109615,c_110]) ).
tff(c_109603,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_84667,c_50]) ).
tff(c_109604,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_109603]) ).
tff(c_109649,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109604,c_268]) ).
tff(c_109650,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_109620,c_109596,c_200,c_109649]) ).
tff(c_109651,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_109603]) ).
tff(c_109668,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_109651]) ).
tff(c_109594,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_156]) ).
tff(c_109680,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_109594,c_94120]) ).
tff(c_109681,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_109680]) ).
tff(c_110268,plain,
( ( e1 = e0 )
| ( op(e1,e2) = e1 )
| ( e3 = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109668,c_109681,c_268]) ).
tff(c_110269,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_194,c_109596,c_204,c_110268]) ).
tff(c_110270,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_109680]) ).
tff(c_110272,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110270,c_178]) ).
tff(c_109673,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_109668,c_114]) ).
tff(c_110282,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_110272,c_109659,c_109673,c_14]) ).
tff(c_110286,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110282,c_170]) ).
tff(c_110273,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110270,c_176]) ).
tff(c_109666,plain,
( ( op(e2,e0) != e2 )
| ( op(e1,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_109653,c_250]) ).
tff(c_109667,plain,
op(e2,e0) != e2,
inference(negUnitSimplification,[status(thm)],[c_109658,c_109596,c_109666]) ).
tff(c_109598,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_128]) ).
tff(c_110304,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84668,c_8]) ).
tff(c_110305,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_110304]) ).
tff(c_110308,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110305,c_188]) ).
tff(c_110318,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110305,c_332]) ).
tff(c_110319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_109667,c_109598,c_110308,c_110318]) ).
tff(c_110320,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_110304]) ).
tff(c_110324,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_110320]) ).
tff(c_110330,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110324,c_108]) ).
tff(c_110339,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110286,c_110273,c_110330,c_84666,c_6]) ).
tff(c_110340,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_110320]) ).
tff(c_110347,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110340,c_182]) ).
tff(c_110390,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110282,c_109668,c_109653,c_60]) ).
tff(c_110391,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110347,c_204,c_196,c_198,c_110390]) ).
tff(c_110392,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_109651]) ).
tff(c_110408,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_109594,c_94120]) ).
tff(c_110409,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_110408]) ).
tff(c_110449,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110392,c_110409,c_268]) ).
tff(c_110450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_84667,c_109658,c_196,c_204,c_110449]) ).
tff(c_110451,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_110408]) ).
tff(c_109597,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_124]) ).
tff(c_110398,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110392,c_126]) ).
tff(c_111103,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_109597,c_110398,c_22]) ).
tff(c_111104,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_111103]) ).
tff(c_111122,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110451,c_111104,c_70]) ).
tff(c_111123,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_109659,c_111122]) ).
tff(c_111195,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111123,c_111104,c_110451,c_300]) ).
tff(c_111196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_109659,c_204,c_204,c_111195]) ).
tff(c_111197,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_111103]) ).
tff(c_111201,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_111197,c_172]) ).
tff(c_110455,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_110451,c_176]) ).
tff(c_110489,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_84668,c_8]) ).
tff(c_110490,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_110489]) ).
tff(c_110493,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110490,c_184]) ).
tff(c_110541,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110451,c_70]) ).
tff(c_110542,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_109659,c_110541]) ).
tff(c_110543,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_110542]) ).
tff(c_110548,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110543,c_132]) ).
tff(c_110399,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_110392,c_130]) ).
tff(c_110598,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_110493,c_109598,c_110548,c_110399,c_24]) ).
tff(c_110599,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_110542]) ).
tff(c_110678,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110451,c_110599,c_66]) ).
tff(c_110679,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_110398,c_194,c_110678]) ).
tff(c_110689,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_110679,c_110451,c_284]) ).
tff(c_110690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_109597,c_204,c_110689]) ).
tff(c_110691,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_110489]) ).
tff(c_110693,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_110691]) ).
tff(c_110700,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_110693,c_108]) ).
tff(c_110781,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_110455,c_110700,c_84666,c_6]) ).
tff(c_110725,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_109597,c_110398,c_22]) ).
tff(c_110726,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_110725]) ).
tff(c_110754,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110451,c_110726,c_70]) ).
tff(c_110755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_109659,c_110700,c_110754]) ).
tff(c_110756,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_110725]) ).
tff(c_110857,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110781,c_110756,c_110451,c_300]) ).
tff(c_110858,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_109659,c_198,c_204,c_110857]) ).
tff(c_110859,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_110691]) ).
tff(c_110874,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110859,c_84663,c_48]) ).
tff(c_110875,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_110874]) ).
tff(c_110876,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_110875]) ).
tff(c_110882,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_110876,c_172]) ).
tff(c_111034,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_110882,c_109597,c_110398,c_22]) ).
tff(c_111073,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107011,c_111034,c_110451,c_284]) ).
tff(c_111074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_109659,c_198,c_204,c_111073]) ).
tff(c_111075,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_110875]) ).
tff(c_111229,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_110859,c_111075,c_84663,c_40]) ).
tff(c_111230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_111201,c_202,c_194,c_111229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG135+1 : TPTP v9.0.0. Released v2.7.0.
% 0.03/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Sun Apr 6 07:04:22 EDT 2025
% 0.12/0.34 % CPUTime :
% 20.16/10.43 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.12/13.85
% 24.12/13.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------