%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : ALG139+1 : TPTP v9.0.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n013.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 05:24:25 PM UTC 2025
% Result : Unsatisfiable 22.75s 11.61s
% Output : CNFRefutation 28.00s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 17
% Syntax : Number of formulae : 6878 (4540 unt; 0 typ; 0 def)
% Number of atoms : 12302 (11431 equ)
% Maximal formula atoms : 128 ( 1 avg)
% Number of connectives : 7491 (2067 ~;5283 |; 141 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 0 ( 0 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ op > #nlpp > e3 > e2 > e1 > e0
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(e1,type,
e1: $i ).
tff(e0,type,
e0: $i ).
tff(e2,type,
e2: $i ).
tff(op,type,
op: ( $i * $i ) > $i ).
tff(e3,type,
e3: $i ).
tff(f_567,axiom,
( ( e0 != e1 )
& ( e0 != e2 )
& ( e0 != e3 )
& ( e1 != e2 )
& ( e1 != e3 )
& ( e2 != e3 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
tff(f_646,axiom,
( ( ( ( op(e0,e0) = e0 )
& ( op(e0,e0) != e0 ) )
| ( ( op(e1,e1) = e0 )
& ( op(e0,e0) != e1 ) )
| ( ( op(e2,e2) = e0 )
& ( op(e0,e0) != e2 ) )
| ( ( op(e3,e3) = e0 )
& ( op(e0,e0) != e3 ) ) )
& ( ( ( op(e0,e0) = e1 )
& ( op(e1,e1) != e0 ) )
| ( ( op(e1,e1) = e1 )
& ( op(e1,e1) != e1 ) )
| ( ( op(e2,e2) = e1 )
& ( op(e1,e1) != e2 ) )
| ( ( op(e3,e3) = e1 )
& ( op(e1,e1) != e3 ) ) )
& ( ( ( op(e0,e0) = e2 )
& ( op(e2,e2) != e0 ) )
| ( ( op(e1,e1) = e2 )
& ( op(e2,e2) != e1 ) )
| ( ( op(e2,e2) = e2 )
& ( op(e2,e2) != e2 ) )
| ( ( op(e3,e3) = e2 )
& ( op(e2,e2) != e3 ) ) )
& ( ( ( op(e0,e0) = e3 )
& ( op(e3,e3) != e0 ) )
| ( ( op(e1,e1) = e3 )
& ( op(e3,e3) != e1 ) )
| ( ( op(e2,e2) = e3 )
& ( op(e3,e3) != e2 ) )
| ( ( op(e3,e3) = e3 )
& ( op(e3,e3) != e3 ) ) ) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax1) ).
tff(f_676,axiom,
~ ( ( e0 = op(op(e1,e1),e1) )
& ( e3 = op(op(e1,e1),op(e1,e1)) )
& ( e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
tff(f_778,axiom,
~ ( ( e3 = op(op(e2,e2),e2) )
& ( e1 = op(op(e2,e2),op(e2,e2)) )
& ( e0 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax27) ).
tff(f_784,axiom,
~ ( ( e3 = op(op(e0,e0),e0) )
& ( e2 = op(op(e0,e0),op(e0,e0)) )
& ( e1 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
tff(f_748,axiom,
~ ( ( e2 = op(op(e0,e0),e0) )
& ( e3 = op(op(e0,e0),op(e0,e0)) )
& ( e1 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
tff(f_658,axiom,
~ ( ( e0 = op(op(e3,e3),e3) )
& ( e1 = op(op(e3,e3),op(e3,e3)) )
& ( e2 = op(e3,e3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
tff(f_682,axiom,
~ ( ( e0 = op(op(e2,e2),e2) )
& ( e3 = op(op(e2,e2),op(e2,e2)) )
& ( e1 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
tff(f_700,axiom,
~ ( ( e1 = op(op(e0,e0),e0) )
& ( e2 = op(op(e0,e0),op(e0,e0)) )
& ( e3 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
tff(f_712,axiom,
~ ( ( e1 = op(op(e0,e0),e0) )
& ( e3 = op(op(e0,e0),op(e0,e0)) )
& ( e2 = op(e0,e0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
tff(f_724,axiom,
~ ( ( e2 = op(op(e1,e1),e1) )
& ( e0 = op(op(e1,e1),op(e1,e1)) )
& ( e3 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
tff(f_760,axiom,
~ ( ( e3 = op(op(e1,e1),e1) )
& ( e0 = op(op(e1,e1),op(e1,e1)) )
& ( e2 = op(e1,e1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax24) ).
tff(f_718,axiom,
~ ( ( e1 = op(op(e2,e2),e2) )
& ( e3 = op(op(e2,e2),op(e2,e2)) )
& ( e0 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
tff(f_652,axiom,
~ ( ( e0 = op(op(e2,e2),e2) )
& ( e1 = op(op(e2,e2),op(e2,e2)) )
& ( e3 = op(e2,e2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
tff(c_200,plain,
e3 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_204,plain,
e1 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_202,plain,
e2 != e0,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_198,plain,
e2 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_196,plain,
e3 != e1,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_194,plain,
e3 != e2,
inference(cnfTransformation,[status(thm)],[f_567]) ).
tff(c_212,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 )
| ( 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_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_224,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_13098,plain,
( ( e3 = e1 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_224]) ).
tff(c_13099,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_13098]) ).
tff(c_13100,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_13099]) ).
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_7326,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_118,plain,
op(e2,e2) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_7331,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_118]) ).
tff(c_8245,plain,
( ( e3 = e1 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_224]) ).
tff(c_8246,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_8245]) ).
tff(c_8247,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_8246]) ).
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_8281,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_8247,c_381,c_2]) ).
tff(c_8282,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_8281]) ).
tff(c_7894,plain,
( ( e3 = e1 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_224]) ).
tff(c_7895,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_7894]) ).
tff(c_7896,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_7895]) ).
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_7857,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_56]) ).
tff(c_7858,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_7857]) ).
tff(c_7859,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_7858]) ).
tff(c_114,plain,
op(e2,e2) != op(e2,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_7864,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7859,c_114]) ).
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_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_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_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_2430,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_38]) ).
tff(c_152,plain,
op(e3,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2433,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2430,c_152]) ).
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_156,plain,
op(e1,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_2434,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2430,c_156]) ).
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_2441,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_2442,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_2434,c_2441]) ).
tff(c_2443,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_2442]) ).
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_410,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_114]) ).
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_1785,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_398,c_410,c_62]) ).
tff(c_1786,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_1785]) ).
tff(c_134,plain,
op(e0,e3) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1802,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_1786,c_134]) ).
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_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_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_1825,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_1802,c_399,c_409,c_46]) ).
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_467,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_399,c_409,c_46]) ).
tff(c_468,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_467]) ).
tff(c_472,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_468,c_152]) ).
tff(c_226,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_428,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_226]) ).
tff(c_429,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_428]) ).
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_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_236,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_442,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_236]) ).
tff(c_443,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_381,c_419,c_196,c_442]) ).
tff(c_268,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_500,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_443,c_382,c_268]) ).
tff(c_501,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_429,c_194,c_198,c_500]) ).
tff(c_332,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_692,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_501,c_443,c_382,c_332]) ).
tff(c_693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_472,c_202,c_200,c_204,c_692]) ).
tff(c_694,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_467]) ).
tff(c_98,plain,
op(e3,e3) != op(e3,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_701,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_694,c_98]) ).
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_430,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_398,c_420,c_20]) ).
tff(c_431,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_728,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_694,c_443,c_382,c_268]) ).
tff(c_729,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_728]) ).
tff(c_769,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_416,c_431,c_729,c_62]) ).
tff(c_770,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_701,c_769]) ).
tff(c_771,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_162,plain,
op(e2,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_775,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_771,c_162]) ).
tff(c_126,plain,
op(e1,e2) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_778,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_771,c_126]) ).
tff(c_785,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_429,c_381,c_2]) ).
tff(c_786,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_785]) ).
tff(c_801,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_786,c_382,c_268]) ).
tff(c_802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_775,c_778,c_198,c_801]) ).
tff(c_803,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_785]) ).
tff(c_901,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_803,c_382,c_332]) ).
tff(c_902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_410,c_397,c_204,c_901]) ).
tff(c_904,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_428]) ).
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_100,plain,
op(e3,e3) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_908,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_904,c_100]) ).
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_917,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_918,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_420,c_917]) ).
tff(c_919,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_918]) ).
tff(c_172,plain,
op(e3,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_925,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_919,c_172]) ).
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_946,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_406,c_908,c_925,c_6]) ).
tff(c_102,plain,
op(e3,e2) != op(e3,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_951,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_946,c_102]) ).
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_957,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_410,c_419,c_12]) ).
tff(c_958,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_957]) ).
tff(c_110,plain,
op(e2,e3) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_963,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_958,c_110]) ).
tff(c_146,plain,
op(e3,e3) != op(e2,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_911,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_904,c_146]) ).
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_920,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_921,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_920]) ).
tff(c_922,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_921]) ).
tff(c_116,plain,
op(e2,e3) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_935,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_922,c_116]) ).
tff(c_10,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e1 )
| ( op(e2,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_1053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_409,c_963,c_911,c_935,c_10]) ).
tff(c_1054,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_957]) ).
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_1065,plain,
( ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_416,c_1054,c_58]) ).
tff(c_1066,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_951,c_1065]) ).
tff(c_122,plain,
op(e1,e3) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1070,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1066,c_122]) ).
tff(c_148,plain,
op(e3,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_907,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_904,c_148]) ).
tff(c_124,plain,
op(e1,e3) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_927,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_919,c_124]) ).
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_1110,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_1070,c_907,c_927,c_18]) ).
tff(c_1112,plain,
op(e2,e0) != e3,
inference(splitRight,[status(thm)],[c_921]) ).
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_1303,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_396,c_384,c_1112,c_16]) ).
tff(c_1154,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_409,c_911,c_10]) ).
tff(c_1155,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_1154]) ).
tff(c_150,plain,
op(e2,e3) != op(e1,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1158,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_1155,c_150]) ).
tff(c_1117,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_919,c_124]) ).
tff(c_1202,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_399,c_1158,c_907,c_1117,c_18]) ).
tff(c_1203,plain,
op(e2,e3) = e3,
inference(splitRight,[status(thm)],[c_1154]) ).
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_1406,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1303,c_405,c_1203,c_60]) ).
tff(c_1407,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_1406]) ).
tff(c_328,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e0) != e1 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_1439,plain,
( ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_904,c_1407,c_382,c_382,c_328]) ).
tff(c_1440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_1439]) ).
tff(c_1442,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_918]) ).
tff(c_228,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_1780,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_904,c_904,c_382,c_228]) ).
tff(c_1781,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_1442,c_196,c_1780]) ).
tff(c_1782,plain,
( ( op(e1,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_50]) ).
tff(c_1784,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_1782]) ).
tff(c_160,plain,
op(e3,e2) != op(e1,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_1789,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_1784,c_160]) ).
tff(c_1811,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_1812,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_1789,c_1811]) ).
tff(c_1813,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_1812]) ).
tff(c_1879,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1825,c_1813,c_382,c_268]) ).
tff(c_1880,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_1879]) ).
tff(c_260,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) != e2 )
| ( op(e3,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_2041,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1825,c_1880,c_1813,c_382,c_260]) ).
tff(c_2042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_2041]) ).
tff(c_2044,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_1812]) ).
tff(c_2043,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_1812]) ).
tff(c_2055,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2043,c_46]) ).
tff(c_2056,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_1802,c_200,c_409,c_2055]) ).
tff(c_2156,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2056,c_382,c_268]) ).
tff(c_2157,plain,
( ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_2156]) ).
tff(c_2158,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_2157]) ).
tff(c_234,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_2168,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2056,c_2158,c_2056,c_234]) ).
tff(c_2169,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_2044,c_2168]) ).
tff(c_2170,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_2157]) ).
tff(c_2176,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_2170,c_126]) ).
tff(c_2171,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_2157]) ).
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_2215,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1786,c_1784,c_54]) ).
tff(c_2216,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_2176,c_2171,c_194,c_2215]) ).
tff(c_2217,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_1785]) ).
tff(c_2243,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_2217,c_1784]) ).
tff(c_2245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_2243]) ).
tff(c_2246,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_1782]) ).
tff(c_2248,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_2246]) ).
tff(c_2251,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2248,c_162]) ).
tff(c_2254,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2248,c_126]) ).
tff(c_2416,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_236]) ).
tff(c_2417,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_2251,c_2254,c_196,c_2416]) ).
tff(c_2418,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_2246]) ).
tff(c_342,plain,
( ( op(e1,e1) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e3 )
| ( op(op(e1,e1),e1) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_676]) ).
tff(c_2775,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_2443,c_2418,c_2443,c_2443,c_2443,c_342]) ).
tff(c_2777,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_2442]) ).
tff(c_2896,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2418,c_382,c_268]) ).
tff(c_2897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2433,c_194,c_2777,c_198,c_2896]) ).
tff(c_2898,plain,
( ( op(e1,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_38]) ).
tff(c_2900,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_2898]) ).
tff(c_3163,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2900,c_2418,c_382,c_382,c_328]) ).
tff(c_3164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_3163]) ).
tff(c_3165,plain,
( ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_2898]) ).
tff(c_3167,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_3165]) ).
tff(c_3173,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3167,c_124]) ).
tff(c_3166,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_2898]) ).
tff(c_3354,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_3166,c_381,c_2]) ).
tff(c_3355,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_3354]) ).
tff(c_3380,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3355,c_2418,c_382,c_268]) ).
tff(c_3381,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_3173,c_198,c_3380]) ).
tff(c_3382,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_3354]) ).
tff(c_3402,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3382,c_2418,c_382,c_268]) ).
tff(c_3403,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_3173,c_198,c_3402]) ).
tff(c_3404,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_3165]) ).
tff(c_3411,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3404,c_116]) ).
tff(c_2425,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_2418,c_118]) ).
tff(c_3678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_396,c_384,c_3411,c_2425,c_16]) ).
tff(c_3679,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_3681,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_3679]) ).
tff(c_3685,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3681,c_110]) ).
tff(c_3703,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_3704,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_3703]) ).
tff(c_3705,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_3704]) ).
tff(c_3710,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3705,c_124]) ).
tff(c_4148,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3705,c_382,c_228]) ).
tff(c_4149,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_196,c_4148]) ).
tff(c_3683,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3681,c_146]) ).
tff(c_154,plain,
op(e2,e3) != op(e0,e3),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_3682,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_3681,c_154]) ).
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_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_3902,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_3682,c_388,c_26]) ).
tff(c_3903,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_3902]) ).
tff(c_3906,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_3903,c_152]) ).
tff(c_3936,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_3683,c_3906,c_381,c_2]) ).
tff(c_240,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_3715,plain,
( ( e2 = e1 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_240]) ).
tff(c_3716,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_3715]) ).
tff(c_3717,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_3716]) ).
tff(c_3764,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3705,c_382,c_228]) ).
tff(c_3765,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_196,c_3764]) ).
tff(c_3787,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_3683,c_3765,c_381,c_2]) ).
tff(c_3842,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3787,c_3705,c_382,c_236]) ).
tff(c_3843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_3717,c_194,c_196,c_3842]) ).
tff(c_3845,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_3716]) ).
tff(c_4144,plain,
( ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3936,c_3845,c_382,c_382,c_328]) ).
tff(c_4145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_4144]) ).
tff(c_4146,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_3902]) ).
tff(c_4161,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4146,c_3681,c_38]) ).
tff(c_4162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_3710,c_202,c_4149,c_4161]) ).
tff(c_4163,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_3704]) ).
tff(c_4165,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_4163]) ).
tff(c_4170,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4165,c_148]) ).
tff(c_4178,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_3681,c_56]) ).
tff(c_4179,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_4178]) ).
tff(c_4180,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_4179]) ).
tff(c_4184,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4180,c_118]) ).
tff(c_4164,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_3704]) ).
tff(c_4229,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_268]) ).
tff(c_4230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4170,c_4184,c_4164,c_198,c_4229]) ).
tff(c_4231,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_4179]) ).
tff(c_4235,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_4231]) ).
tff(c_4365,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4235,c_382,c_382,c_328]) ).
tff(c_4366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3683,c_202,c_204,c_4365]) ).
tff(c_4368,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_4231]) ).
tff(c_4405,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_268]) ).
tff(c_4406,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4170,c_4368,c_4164,c_198,c_4405]) ).
tff(c_4407,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_4163]) ).
tff(c_4414,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4407,c_162]) ).
tff(c_4434,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_268]) ).
tff(c_4435,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_4414,c_4164,c_198,c_4434]) ).
tff(c_4539,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4435,c_382,c_382,c_328]) ).
tff(c_4540,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_3685,c_204,c_4539]) ).
tff(c_4541,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_3679]) ).
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_6689,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_26]) ).
tff(c_6690,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_6689]) ).
tff(c_6693,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6690,c_152]) ).
tff(c_4543,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_166]) ).
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_4542,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_3679]) ).
tff(c_4553,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_6]) ).
tff(c_4559,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4553,c_100]) ).
tff(c_4581,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_399,c_4542,c_4559,c_46]) ).
tff(c_4567,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_398,c_20]) ).
tff(c_4568,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_4567]) ).
tff(c_4572,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4568,c_122]) ).
tff(c_4899,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_382,c_268]) ).
tff(c_4900,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_4899]) ).
tff(c_4901,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_4900]) ).
tff(c_4928,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4901,c_4901,c_382,c_228]) ).
tff(c_4929,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_4928]) ).
tff(c_180,plain,
op(e1,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4932,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4929,c_180]) ).
tff(c_158,plain,
op(e3,e2) != op(e2,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4544,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_158]) ).
tff(c_4571,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_4568,c_160]) ).
tff(c_4608,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_4559,c_381,c_2]) ).
tff(c_4609,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_4608]) ).
tff(c_4622,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4609,c_4541,c_382,c_268]) ).
tff(c_4623,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_198,c_4622]) ).
tff(c_4626,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4623,c_180]) ).
tff(c_4592,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4568,c_4541,c_50]) ).
tff(c_4593,plain,
( ( op(e3,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_4592]) ).
tff(c_4594,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_4593]) ).
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_4752,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_4594,c_4581,c_88]) ).
tff(c_4753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_4626,c_194,c_202,c_4752]) ).
tff(c_4754,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_4608]) ).
tff(c_4759,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4754,c_98]) ).
tff(c_164,plain,
op(e3,e2) != op(e0,e2),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4597,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_4594,c_164]) ).
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_4878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4544,c_4571,c_4759,c_4597,c_4]) ).
tff(c_4880,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_4593]) ).
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_4954,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_4581,c_84]) ).
tff(c_4955,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_4932,c_4880,c_200,c_4954]) ).
tff(c_4956,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_4900]) ).
tff(c_4962,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4956,c_124]) ).
tff(c_4995,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_399,c_4572,c_4962,c_18]) ).
tff(c_4957,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_4900]) ).
tff(c_4879,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_4593]) ).
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_4969,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4553,c_4879,c_40]) ).
tff(c_4970,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_4957,c_4969]) ).
tff(c_182,plain,
op(e3,e0) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4974,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4970,c_182]) ).
tff(c_174,plain,
op(e2,e1) != op(e1,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_4961,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_4956,c_174]) ).
tff(c_4984,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_56]) ).
tff(c_4985,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_4974,c_4961,c_202,c_4984]) ).
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_5049,plain,
( ( op(e3,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4581,c_4995,c_4985,c_42]) ).
tff(c_5050,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_5049]) ).
tff(c_232,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_5167,plain,
( ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5050,c_4541,c_5050,c_382,c_232]) ).
tff(c_5168,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_5167]) ).
tff(c_5169,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_4567]) ).
tff(c_5171,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_5169]) ).
tff(c_5177,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5171,c_126]) ).
tff(c_266,plain,
( ( op(e2,e2) != e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_5195,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_4541,c_266]) ).
tff(c_5196,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_5195]) ).
tff(c_5197,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_5196]) ).
tff(c_5229,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5197,c_5197,c_382,c_228]) ).
tff(c_5230,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_5177,c_196,c_5229]) ).
tff(c_5231,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_5196]) ).
tff(c_5242,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_5231,c_382,c_236]) ).
tff(c_5243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_200,c_194,c_196,c_5242]) ).
tff(c_5244,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_5169]) ).
tff(c_5249,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_5244,c_168]) ).
tff(c_28,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_5520,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_4543,c_386,c_5249,c_28]) ).
tff(c_376,plain,
( ( op(e2,e2) != e0 )
| ( op(op(e2,e2),op(e2,e2)) != e1 )
| ( op(op(e2,e2),e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_778]) ).
tff(c_5711,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_5520,c_4541,c_382,c_4541,c_4541,c_4541,c_376]) ).
tff(c_5712,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_6]) ).
tff(c_5714,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_5712]) ).
tff(c_5718,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_5714,c_172]) ).
tff(c_5749,plain,
( ( e3 = e1 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_224]) ).
tff(c_5750,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_5749]) ).
tff(c_5751,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_5750]) ).
tff(c_5793,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5714,c_40]) ).
tff(c_5794,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_5751,c_5793]) ).
tff(c_5795,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_5794]) ).
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_5807,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5795,c_5714,c_48]) ).
tff(c_5808,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_4544,c_5807]) ).
tff(c_5782,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_382,c_268]) ).
tff(c_5783,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_5751,c_202,c_198,c_5782]) ).
tff(c_5874,plain,
( ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5808,c_4541,c_5783,c_5808,c_234]) ).
tff(c_5875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_5874]) ).
tff(c_5876,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_5794]) ).
tff(c_5895,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5714,c_5876,c_48]) ).
tff(c_5896,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_395,c_200,c_202,c_5895]) ).
tff(c_5989,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5896,c_4541,c_5783,c_382,c_236]) ).
tff(c_5990,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_194,c_196,c_5989]) ).
tff(c_5992,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_5750]) ).
tff(c_6020,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_5992,c_5992,c_382,c_228]) ).
tff(c_6021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_5718,c_196,c_6020]) ).
tff(c_6022,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_5712]) ).
tff(c_6024,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_6022]) ).
tff(c_6031,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6024,c_102]) ).
tff(c_6830,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6024,c_40]) ).
tff(c_6831,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_6830]) ).
tff(c_6832,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_6831]) ).
tff(c_6845,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6832,c_6024,c_48]) ).
tff(c_6846,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_4544,c_6693,c_6845]) ).
tff(c_6847,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_6831]) ).
tff(c_6849,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_6847]) ).
tff(c_6857,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6849,c_98]) ).
tff(c_136,plain,
op(e0,e3) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6695,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_6690,c_136]) ).
tff(c_3680,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_404]) ).
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_6041,plain,
( ( e3 = e1 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6024,c_66]) ).
tff(c_6042,plain,
( ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_6041]) ).
tff(c_6043,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_6042]) ).
tff(c_6046,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6043,c_180]) ).
tff(c_6053,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_382,c_268]) ).
tff(c_6054,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_6053]) ).
tff(c_6055,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_6054]) ).
tff(c_6096,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6055,c_6055,c_382,c_228]) ).
tff(c_6097,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_6046,c_196,c_6096]) ).
tff(c_6098,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_6054]) ).
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_6187,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6043,c_6098,c_6024,c_78]) ).
tff(c_6188,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_3680,c_204,c_6187]) ).
tff(c_6189,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_6042]) ).
tff(c_6191,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_6189]) ).
tff(c_6195,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6191,c_174]) ).
tff(c_6030,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_6024,c_100]) ).
tff(c_6202,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_6030,c_381,c_2]) ).
tff(c_6203,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_6202]) ).
tff(c_6479,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6203,c_4541,c_382,c_268]) ).
tff(c_6480,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_198,c_6479]) ).
tff(c_6652,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6203,c_4541,c_6480,c_382,c_236]) ).
tff(c_6653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_194,c_196,c_6652]) ).
tff(c_6654,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_6202]) ).
tff(c_6685,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6654,c_6654,c_382,c_228]) ).
tff(c_6686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_6195,c_196,c_6685]) ).
tff(c_6687,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_6189]) ).
tff(c_6711,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_4543,c_386,c_28]) ).
tff(c_6712,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_6711]) ).
tff(c_138,plain,
op(e0,e2) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_6717,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_6712,c_138]) ).
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_6788,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6687,c_6024,c_70]) ).
tff(c_6789,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_6717,c_194,c_198,c_6788]) ).
tff(c_6805,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6687,c_6789,c_6024,c_78]) ).
tff(c_6806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6695,c_200,c_202,c_204,c_6805]) ).
tff(c_6807,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_6711]) ).
tff(c_6811,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6807,c_164]) ).
tff(c_6935,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_4544,c_6031,c_6857,c_6811,c_4]) ).
tff(c_6936,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_6847]) ).
tff(c_6951,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6024,c_6936,c_48]) ).
tff(c_6952,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_395,c_204,c_202,c_6693,c_6951]) ).
tff(c_6953,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_6689]) ).
tff(c_6965,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_6953]) ).
tff(c_6972,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6965,c_134]) ).
tff(c_6959,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_6687,c_126]) ).
tff(c_7035,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_50]) ).
tff(c_7036,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_6972,c_6959,c_200,c_7035]) ).
tff(c_7064,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_7036,c_54]) ).
tff(c_7065,plain,
( ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_7064]) ).
tff(c_7066,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_7065]) ).
tff(c_7074,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7066,c_138]) ).
tff(c_6988,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6024,c_40]) ).
tff(c_6989,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_6988]) ).
tff(c_6990,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_6989]) ).
tff(c_7003,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6990,c_6024,c_48]) ).
tff(c_7004,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_4544,c_7003]) ).
tff(c_7031,plain,
( ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7004,c_4541,c_6687,c_4541,c_266]) ).
tff(c_7032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_7031]) ).
tff(c_7034,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_6989]) ).
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_7079,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_7080,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_7034,c_7079]) ).
tff(c_120,plain,
op(e2,e1) != op(e2,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_7085,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7080,c_120]) ).
tff(c_7107,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6687,c_6024,c_70]) ).
tff(c_7108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7074,c_194,c_7085,c_198,c_7107]) ).
tff(c_7110,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_7065]) ).
tff(c_7131,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6687,c_6024,c_78]) ).
tff(c_7132,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_3680,c_204,c_7131]) ).
tff(c_7147,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_7132,c_6965,c_88]) ).
tff(c_7148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_7110,c_194,c_7147]) ).
tff(c_7149,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_6953]) ).
tff(c_7156,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7149,c_136]) ).
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_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_7163,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_395,c_383,c_8]) ).
tff(c_7164,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_7163]) ).
tff(c_7184,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7164,c_6024,c_48]) ).
tff(c_7185,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_4544,c_7184]) ).
tff(c_7216,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7185,c_4541,c_6687,c_382,c_268]) ).
tff(c_7217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_194,c_198,c_7216]) ).
tff(c_7218,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_7163]) ).
tff(c_7223,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_7218,c_182]) ).
tff(c_7293,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_396,c_384,c_7223,c_16]) ).
tff(c_7298,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7293,c_120]) ).
tff(c_7305,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_6687,c_6024,c_70]) ).
tff(c_7306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7156,c_194,c_7298,c_198,c_7305]) ).
tff(c_7307,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_6022]) ).
tff(c_7314,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7307,c_100]) ).
tff(c_7313,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_7307,c_172]) ).
tff(c_7322,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_4541,c_382,c_268]) ).
tff(c_7323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7314,c_202,c_7313,c_198,c_7322]) ).
tff(c_7324,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_7337,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_7324]) ).
tff(c_7339,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7337,c_148]) ).
tff(c_7837,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_328]) ).
tff(c_7838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7339,c_7331,c_204,c_7837]) ).
tff(c_7839,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_7324]) ).
tff(c_7841,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_7839]) ).
tff(c_7979,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7841,c_382,c_268]) ).
tff(c_7980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_7896,c_7864,c_202,c_198,c_7979]) ).
tff(c_7982,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_7895]) ).
tff(c_8124,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7982,c_7982,c_7841,c_382,c_228]) ).
tff(c_8125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_8124]) ).
tff(c_8126,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_7858]) ).
tff(c_8128,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_8126]) ).
tff(c_8131,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8128,c_146]) ).
tff(c_8133,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8128,c_110]) ).
tff(c_8204,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_7841,c_382,c_268]) ).
tff(c_8205,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8131,c_8133,c_202,c_198,c_8204]) ).
tff(c_8206,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_8126]) ).
tff(c_8384,plain,
( ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8282,c_8206,c_7841,c_8282,c_234]) ).
tff(c_8385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_8384]) ).
tff(c_8386,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_8281]) ).
tff(c_8439,plain,
( ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8386,c_8206,c_382,c_382,c_328]) ).
tff(c_8440,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_8439]) ).
tff(c_8442,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_8246]) ).
tff(c_8507,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8442,c_8442,c_7841,c_382,c_228]) ).
tff(c_8508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_8507]) ).
tff(c_8510,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_7839]) ).
tff(c_9436,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_9437,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_7331,c_8510,c_204,c_9436]) ).
tff(c_8647,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_8648,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_7331,c_8510,c_204,c_8647]) ).
tff(c_7329,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_186]) ).
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_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_8636,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7329,c_385,c_24]) ).
tff(c_8637,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_8636]) ).
tff(c_8641,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8637,c_132]) ).
tff(c_8659,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8648,c_382,c_268]) ).
tff(c_8660,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_8641,c_198,c_8659]) ).
tff(c_7332,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7326,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_8527,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_7332,c_14]) ).
tff(c_8528,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_8527]) ).
tff(c_8532,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_8528,c_174]) ).
tff(c_22,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_152]) ).
tff(c_8673,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_8510,c_8532,c_8641,c_22]) ).
tff(c_8816,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8648,c_8660,c_8673,c_382,c_260]) ).
tff(c_8817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_8816]) ).
tff(c_8818,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_8636]) ).
tff(c_8509,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_7839]) ).
tff(c_8511,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8509,c_168]) ).
tff(c_8542,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_26]) ).
tff(c_8543,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_8542]) ).
tff(c_8546,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_8543,c_152]) ).
tff(c_8618,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_8619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8546,c_7331,c_8510,c_204,c_8618]) ).
tff(c_8620,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_8542]) ).
tff(c_8622,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_8620]) ).
tff(c_8629,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_8622,c_134]) ).
tff(c_8830,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_8511,c_386,c_8629,c_28]) ).
tff(c_8835,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_8830,c_166]) ).
tff(c_8841,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_268]) ).
tff(c_8842,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_8835,c_198,c_8841]) ).
tff(c_8843,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_8842]) ).
tff(c_8866,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8843,c_382,c_332]) ).
tff(c_8867,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_7331,c_8510,c_204,c_8866]) ).
tff(c_8868,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_8842]) ).
tff(c_378,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),op(e0,e0)) != e2 )
| ( op(op(e0,e0),e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_784]) ).
tff(c_9165,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8818,c_382,c_8868,c_382,c_382,c_382,c_378]) ).
tff(c_9166,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_8620]) ).
tff(c_9174,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9166,c_134]) ).
tff(c_9461,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8509,c_54]) ).
tff(c_9462,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_9174,c_202,c_9461]) ).
tff(c_9463,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_9462]) ).
tff(c_7840,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_7324]) ).
tff(c_9172,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9166,c_156]) ).
tff(c_7328,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_7326,c_182]) ).
tff(c_9183,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7328,c_383,c_8]) ).
tff(c_9184,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_9183]) ).
tff(c_9187,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9184,c_184]) ).
tff(c_9208,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_7329,c_385,c_9187,c_24]) ).
tff(c_9213,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9208,c_128]) ).
tff(c_9245,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_7840,c_9172,c_9213,c_18]) ).
tff(c_9249,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_9245,c_148]) ).
tff(c_9171,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9166,c_152]) ).
tff(c_9339,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_9249,c_9171,c_381,c_2]) ).
tff(c_106,plain,
op(e3,e2) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_9189,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9184,c_106]) ).
tff(c_9197,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_8511,c_386,c_9174,c_28]) ).
tff(c_9219,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9197,c_8509,c_54]) ).
tff(c_9220,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_9189,c_9219]) ).
tff(c_9212,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9208,c_132]) ).
tff(c_9232,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_8510,c_8532,c_9212,c_22]) ).
tff(c_9419,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9339,c_9220,c_9232,c_382,c_236]) ).
tff(c_9420,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_194,c_196,c_9419]) ).
tff(c_9421,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_9183]) ).
tff(c_9425,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9421,c_184]) ).
tff(c_9449,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_7329,c_385,c_9425,c_24]) ).
tff(c_9453,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9449,c_132]) ).
tff(c_9488,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_8510,c_8532,c_9453,c_22]) ).
tff(c_9631,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9437,c_9463,c_9488,c_382,c_260]) ).
tff(c_9632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_9631]) ).
tff(c_9634,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_9462]) ).
tff(c_9646,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_8510,c_8532,c_9453,c_22]) ).
tff(c_9765,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9437,c_9646,c_382,c_268]) ).
tff(c_9766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_9634,c_194,c_198,c_9765]) ).
tff(c_9767,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_8527]) ).
tff(c_9769,plain,
op(e2,e1) = e3,
inference(splitLeft,[status(thm)],[c_9767]) ).
tff(c_9776,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9769,c_114]) ).
tff(c_9774,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_9769,c_174]) ).
tff(c_9795,plain,
op(e3,e3) != e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_9776,c_9774,c_234]) ).
tff(c_9844,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_328]) ).
tff(c_9845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_9795,c_7331,c_204,c_9844]) ).
tff(c_9846,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_9767]) ).
tff(c_9854,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9846,c_114]) ).
tff(c_10264,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_10265,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_7331,c_8510,c_204,c_10264]) ).
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_9865,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8509,c_76]) ).
tff(c_9866,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_385,c_204,c_9865]) ).
tff(c_9867,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_9866]) ).
tff(c_9878,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9867,c_382,c_332]) ).
tff(c_9879,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_7331,c_204,c_204,c_9878]) ).
tff(c_10085,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9879,c_9867,c_9879,c_234]) ).
tff(c_10086,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_10085]) ).
tff(c_252,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_10250,plain,
( ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10086,c_10086,c_9867,c_382,c_252]) ).
tff(c_10251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_10250]) ).
tff(c_10253,plain,
op(e1,e1) != e1,
inference(splitRight,[status(thm)],[c_9866]) ).
tff(c_9852,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_9846,c_174]) ).
tff(c_10292,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_8510,c_10253,c_9852,c_22]) ).
tff(c_10387,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10265,c_10292,c_382,c_268]) ).
tff(c_10388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_9854,c_194,c_198,c_10387]) ).
tff(c_10389,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_10391,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_10389]) ).
tff(c_10395,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10391,c_110]) ).
tff(c_10393,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10391,c_146]) ).
tff(c_10520,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_10393,c_381,c_2]) ).
tff(c_10521,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_10520]) ).
tff(c_10644,plain,
( ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10521,c_382,c_382,c_328]) ).
tff(c_10645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_10395,c_10644]) ).
tff(c_10646,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_10520]) ).
tff(c_10394,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10391,c_150]) ).
tff(c_10402,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_10394,c_7324]) ).
tff(c_10403,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_10402]) ).
tff(c_10408,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10403,c_126]) ).
tff(c_10506,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_332]) ).
tff(c_10507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10393,c_10395,c_10408,c_204,c_10506]) ).
tff(c_10508,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_10402]) ).
tff(c_10716,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10646,c_10646,c_10508,c_382,c_228]) ).
tff(c_10717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_10716]) ).
tff(c_10718,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_10389]) ).
tff(c_10721,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_10718]) ).
tff(c_10724,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10721,c_174]) ).
tff(c_10732,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_10724,c_7324]) ).
tff(c_10733,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_10732]) ).
tff(c_10737,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10733,c_148]) ).
tff(c_10726,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10721,c_114]) ).
tff(c_10933,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_328]) ).
tff(c_10934,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10737,c_10726,c_204,c_10933]) ).
tff(c_10935,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_10732]) ).
tff(c_10937,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10935,c_168]) ).
tff(c_10936,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_10732]) ).
tff(c_10719,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_10389]) ).
tff(c_270,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_10720,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_270]) ).
tff(c_11507,plain,
( ( op(e3,e3) != e0 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_10720,c_234]) ).
tff(c_11508,plain,
op(e3,e3) != e0,
inference(splitLeft,[status(thm)],[c_11507]) ).
tff(c_11218,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_388,c_26]) ).
tff(c_11219,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_11218]) ).
tff(c_11222,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_11219,c_152]) ).
tff(c_11491,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_328]) ).
tff(c_11492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11222,c_10726,c_204,c_11491]) ).
tff(c_11493,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_11218]) ).
tff(c_11495,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_11493]) ).
tff(c_11513,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11495,c_46]) ).
tff(c_11514,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_10936,c_10719,c_11508,c_11513]) ).
tff(c_11516,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_11507]) ).
tff(c_11515,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_11507]) ).
tff(c_178,plain,
op(e2,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_10723,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_10721,c_178]) ).
tff(c_11537,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11516,c_40]) ).
tff(c_11538,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_11537]) ).
tff(c_11539,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_11538]) ).
tff(c_11545,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11539,c_106]) ).
tff(c_11572,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10935,c_11515,c_54]) ).
tff(c_11573,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_11545,c_11572]) ).
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_11684,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_11573,c_11495,c_96]) ).
tff(c_11685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_10723,c_202,c_200,c_11684]) ).
tff(c_11686,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_11538]) ).
tff(c_11688,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_11686]) ).
tff(c_11801,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11688,c_164]) ).
tff(c_11502,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_11495,c_134]) ).
tff(c_11899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10937,c_386,c_11801,c_11502,c_28]) ).
tff(c_11900,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_11686]) ).
tff(c_11904,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11900,c_172]) ).
tff(c_11918,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_10724,c_11904,c_10720,c_22]) ).
tff(c_11937,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11516,c_11515,c_11918,c_382,c_268]) ).
tff(c_11938,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_198,c_11937]) ).
tff(c_11939,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_11493]) ).
tff(c_11947,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11939,c_134]) ).
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_11946,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_11939,c_136]) ).
tff(c_11972,plain,
( ( e2 = e1 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_240]) ).
tff(c_11973,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_11972]) ).
tff(c_11974,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_11973]) ).
tff(c_11959,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11939,c_46]) ).
tff(c_11960,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_10936,c_10719,c_11959]) ).
tff(c_11997,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_10935,c_54]) ).
tff(c_11998,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_11947,c_202,c_11997]) ).
tff(c_11999,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_11998]) ).
tff(c_12010,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_10724,c_10720,c_22]) ).
tff(c_12011,plain,
op(e1,e1) = e1,
inference(splitLeft,[status(thm)],[c_12010]) ).
tff(c_12023,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11960,c_11999,c_12011,c_11960,c_234]) ).
tff(c_12024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_12023]) ).
tff(c_12025,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12010]) ).
tff(c_12037,plain,
( ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11960,c_11999,c_12025,c_11960,c_234]) ).
tff(c_12038,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_12037]) ).
tff(c_12039,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_11998]) ).
tff(c_12044,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12039,c_102]) ).
tff(c_11981,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_11939,c_84]) ).
tff(c_11982,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_11981]) ).
tff(c_11983,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_11982]) ).
tff(c_12070,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11983,c_10721,c_70]) ).
tff(c_12071,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_12044,c_12070]) ).
tff(c_12128,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11960,c_12071,c_382,c_236]) ).
tff(c_12129,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_11974,c_194,c_196,c_12128]) ).
tff(c_12131,plain,
op(e0,e1) != e3,
inference(splitRight,[status(thm)],[c_11982]) ).
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_12143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10723,c_387,c_11946,c_12131,c_30]) ).
tff(c_12145,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_11973]) ).
tff(c_12147,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12145,c_166]) ).
tff(c_12158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10937,c_386,c_11947,c_12147,c_28]) ).
tff(c_12159,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_10718]) ).
tff(c_12163,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_162]) ).
tff(c_12171,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_12163,c_7324]) ).
tff(c_12172,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_12171]) ).
tff(c_12176,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12172,c_148]) ).
tff(c_12161,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_166]) ).
tff(c_7325,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_80]) ).
tff(c_12186,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_7325,c_385,c_24]) ).
tff(c_12187,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_12186]) ).
tff(c_12190,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12187,c_184]) ).
tff(c_12191,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12187,c_186]) ).
tff(c_12206,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_56]) ).
tff(c_12207,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_12191,c_202,c_12206]) ).
tff(c_12208,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_12207]) ).
tff(c_12210,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12208,c_170]) ).
tff(c_12225,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_228]) ).
tff(c_12226,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_10720,c_196,c_12225]) ).
tff(c_12229,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_12190,c_12210,c_12226,c_40]) ).
tff(c_12231,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12229,c_164]) ).
tff(c_12256,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12187,c_12172,c_68]) ).
tff(c_12257,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_10720,c_200,c_12256]) ).
tff(c_12260,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12257,c_168]) ).
tff(c_12366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12161,c_386,c_12231,c_12260,c_28]) ).
tff(c_12367,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_12207]) ).
tff(c_12371,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12367,c_146]) ).
tff(c_12192,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12187,c_132]) ).
tff(c_12401,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_382,c_268]) ).
tff(c_12402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12371,c_202,c_12192,c_198,c_12401]) ).
tff(c_12403,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_12186]) ).
tff(c_12408,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12403,c_186]) ).
tff(c_12407,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12403,c_184]) ).
tff(c_12160,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_10718]) ).
tff(c_12425,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_12159,c_266]) ).
tff(c_12426,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_12425]) ).
tff(c_12427,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_12426]) ).
tff(c_12177,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12172,c_156]) ).
tff(c_12422,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_12177,c_388,c_26]) ).
tff(c_12423,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_12422]) ).
tff(c_12431,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12423,c_152]) ).
tff(c_12449,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12427,c_12431]) ).
tff(c_12450,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12426]) ).
tff(c_12541,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12450,c_78]) ).
tff(c_12542,plain,
( ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_12160,c_12541]) ).
tff(c_12543,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_12542]) ).
tff(c_176,plain,
op(e3,e1) != op(e0,e1),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_12548,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12543,c_176]) ).
tff(c_12468,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12450,c_172]) ).
tff(c_12469,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12450,c_174]) ).
tff(c_12553,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_12160,c_12469,c_14]) ).
tff(c_12554,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_12553]) ).
tff(c_12558,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_12554,c_112]) ).
tff(c_12594,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12423,c_12172,c_42]) ).
tff(c_12595,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_12558,c_12594]) ).
tff(c_12704,plain,
( ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12595,c_12159,c_12595,c_382,c_232]) ).
tff(c_12705,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_12704]) ).
tff(c_12706,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_12553]) ).
tff(c_12710,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12706,c_170]) ).
tff(c_12762,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_12548,c_12468,c_12710,c_6]) ).
tff(c_12470,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12450,c_126]) ).
tff(c_12457,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12423,c_134]) ).
tff(c_12475,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_12161,c_386,c_12457,c_28]) ).
tff(c_12503,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12475,c_12159,c_54]) ).
tff(c_12504,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_12470,c_202,c_12503]) ).
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_12797,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12762,c_12504,c_36]) ).
tff(c_12798,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12407,c_196,c_194,c_381,c_12797]) ).
tff(c_12799,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_12542]) ).
tff(c_108,plain,
op(e3,e1) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_12805,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_12799,c_108]) ).
tff(c_12510,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_12504,c_106]) ).
tff(c_12860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12805,c_383,c_12510,c_12407,c_8]) ).
tff(c_12861,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_12422]) ).
tff(c_12865,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_12861,c_154]) ).
tff(c_12875,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_12159,c_266]) ).
tff(c_12876,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_12875]) ).
tff(c_12877,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_12876]) ).
tff(c_12932,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12877,c_12877,c_382,c_228]) ).
tff(c_12933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_10720,c_196,c_12932]) ).
tff(c_12934,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_12876]) ).
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_13011,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12934,c_74]) ).
tff(c_13012,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_387,c_198,c_13011]) ).
tff(c_13013,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_13012]) ).
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_13034,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13013,c_12159,c_52]) ).
tff(c_13035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12408,c_196,c_200,c_12865,c_13034]) ).
tff(c_13036,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_13012]) ).
tff(c_13041,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_13036,c_100]) ).
tff(c_12935,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_12876]) ).
tff(c_13049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12176,c_13041,c_12935,c_381,c_2]) ).
tff(c_13050,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_12171]) ).
tff(c_13121,plain,
( ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12159,c_13050,c_12159,c_266]) ).
tff(c_13122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13100,c_202,c_13121]) ).
tff(c_13124,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_13099]) ).
tff(c_13163,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13124,c_13124,c_13050,c_382,c_228]) ).
tff(c_13164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_13163]) ).
tff(c_13166,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_270]) ).
tff(c_14017,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_180]) ).
tff(c_14018,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_172]) ).
tff(c_10390,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_13191,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_10718]) ).
tff(c_13196,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13191,c_114]) ).
tff(c_13609,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_382,c_268]) ).
tff(c_13610,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_13609]) ).
tff(c_13611,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_13610]) ).
tff(c_13624,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13611,c_13166,c_382,c_332]) ).
tff(c_13625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_13196,c_200,c_204,c_13624]) ).
tff(c_13626,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_13610]) ).
tff(c_13633,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13626,c_118]) ).
tff(c_13167,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_36]) ).
tff(c_13168,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_13167]) ).
tff(c_13170,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_13168,c_182]) ).
tff(c_13709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10390,c_384,c_13633,c_13170,c_16]) ).
tff(c_13710,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_10718]) ).
tff(c_13735,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13710,c_13166,c_382,c_268]) ).
tff(c_13736,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_13735]) ).
tff(c_13741,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_98]) ).
tff(c_13784,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13710,c_54]) ).
tff(c_13785,plain,
( ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_13741,c_13784]) ).
tff(c_13786,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_13785]) ).
tff(c_13791,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13786,c_138]) ).
tff(c_13742,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_146]) ).
tff(c_13756,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13710,c_56]) ).
tff(c_13757,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_13742,c_13756]) ).
tff(c_13758,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_13757]) ).
tff(c_13764,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13758,c_120]) ).
tff(c_13740,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_100]) ).
tff(c_13816,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_70]) ).
tff(c_13817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13791,c_194,c_13764,c_13740,c_13816]) ).
tff(c_13818,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_13785]) ).
tff(c_13714,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_13710,c_162]) ).
tff(c_13723,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_7324]) ).
tff(c_13724,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_13714,c_200,c_13723]) ).
tff(c_13867,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_13818,c_13724,c_76]) ).
tff(c_13868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_385,c_196,c_198,c_204,c_13867]) ).
tff(c_13870,plain,
op(e2,e0) != e2,
inference(splitRight,[status(thm)],[c_13757]) ).
tff(c_14014,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10390,c_384,c_13870,c_13170,c_16]) ).
tff(c_14015,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_13167]) ).
tff(c_14044,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_14018,c_14015]) ).
tff(c_14045,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14044,c_164]) ).
tff(c_14030,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_10718]) ).
tff(c_14033,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14030,c_178]) ).
tff(c_14035,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14030,c_114]) ).
tff(c_14056,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_7324]) ).
tff(c_14057,plain,
( ( op(e1,e2) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_14056]) ).
tff(c_14058,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_14057]) ).
tff(c_14060,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14058,c_148]) ).
tff(c_14041,plain,
( ( e3 = e1 )
| ( op(e3,e3) != e1 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_232]) ).
tff(c_14042,plain,
( ( op(e3,e3) != e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_14041]) ).
tff(c_14043,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_14042]) ).
tff(c_14071,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_14060,c_14043,c_381,c_2]) ).
tff(c_14133,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14071,c_382,c_382,c_328]) ).
tff(c_14134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_14035,c_204,c_14133]) ).
tff(c_14135,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_14057]) ).
tff(c_14139,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14135,c_168]) ).
tff(c_14367,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( op(e0,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_96]) ).
tff(c_14368,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_14033,c_14139,c_14367]) ).
tff(c_14399,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_14368,c_84]) ).
tff(c_14400,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_14017,c_14045,c_200,c_14399]) ).
tff(c_14401,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_14042]) ).
tff(c_14425,plain,
( ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14401,c_14401,c_13166,c_382,c_252]) ).
tff(c_14426,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_14425]) ).
tff(c_14427,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_10718]) ).
tff(c_14429,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14427,c_166]) ).
tff(c_14439,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_14018,c_14015]) ).
tff(c_14441,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14439,c_164]) ).
tff(c_14485,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_14429,c_386,c_14441,c_28]) ).
tff(c_14490,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14485,c_138]) ).
tff(c_14467,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14427,c_13166,c_382,c_268]) ).
tff(c_14468,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_14467]) ).
tff(c_14473,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14468,c_100]) ).
tff(c_14530,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_13166,c_70]) ).
tff(c_14531,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_14490,c_194,c_14473,c_14530]) ).
tff(c_14537,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14531,c_120]) ).
tff(c_104,plain,
op(e3,e3) != op(e3,e0),
inference(cnfTransformation,[status(thm)],[f_550]) ).
tff(c_14474,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_14468,c_104]) ).
tff(c_14572,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_86]) ).
tff(c_14573,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_14537,c_14474,c_14572]) ).
tff(c_366,plain,
( ( op(e0,e0) != e1 )
| ( op(op(e0,e0),op(e0,e0)) != e3 )
| ( op(op(e0,e0),e0) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_748]) ).
tff(c_14798,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14573,c_382,c_13166,c_382,c_382,c_382,c_366]) ).
tff(c_14800,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_14799,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e2) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_92]) ).
tff(c_14801,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_14799]) ).
tff(c_14804,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_156]) ).
tff(c_14803,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_152]) ).
tff(c_23249,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_381,c_2]) ).
tff(c_23250,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_23249]) ).
tff(c_14806,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_136]) ).
tff(c_22383,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_381,c_2]) ).
tff(c_22384,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_22383]) ).
tff(c_14802,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_154]) ).
tff(c_16461,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14802,c_10]) ).
tff(c_16462,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_16461]) ).
tff(c_16464,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16462,c_146]) ).
tff(c_16468,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16462,c_116]) ).
tff(c_16502,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_16508,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16502,c_104]) ).
tff(c_16579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_16508,c_381,c_2]) ).
tff(c_16580,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_16582,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_16580]) ).
tff(c_14812,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_14816,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14812,c_110]) ).
tff(c_14823,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_14827,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14823,c_132]) ).
tff(c_14826,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_14823,c_192]) ).
tff(c_14970,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_381,c_2]) ).
tff(c_14971,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_14970]) ).
tff(c_14834,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14823,c_72]) ).
tff(c_14835,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_14834]) ).
tff(c_14836,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_14835]) ).
tff(c_292,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_15020,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14971,c_14836,c_14836,c_292]) ).
tff(c_15021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_15020]) ).
tff(c_15022,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_14970]) ).
tff(c_15055,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15022,c_15022,c_14836,c_228]) ).
tff(c_15056,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_14826,c_15055]) ).
tff(c_15058,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_14835]) ).
tff(c_15284,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14812,c_14812,c_266]) ).
tff(c_15285,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_15058,c_15284]) ).
tff(c_15317,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15285,c_15285,c_228]) ).
tff(c_15318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_14827,c_14826,c_15317]) ).
tff(c_15319,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_15321,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_15319]) ).
tff(c_15599,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_381,c_2]) ).
tff(c_15600,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_15599]) ).
tff(c_15324,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15321,c_150]) ).
tff(c_15347,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_14816,c_14802,c_15324,c_10]) ).
tff(c_15351,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15347,c_146]) ).
tff(c_15332,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15321,c_72]) ).
tff(c_15333,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_15332]) ).
tff(c_15334,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_15333]) ).
tff(c_15339,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15334,c_132]) ).
tff(c_15338,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15334,c_192]) ).
tff(c_15386,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14812,c_268]) ).
tff(c_15387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15351,c_202,c_15339,c_15338,c_15386]) ).
tff(c_15388,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_15333]) ).
tff(c_15390,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_15388]) ).
tff(c_15395,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_15390,c_126]) ).
tff(c_15401,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_15321,c_46]) ).
tff(c_15402,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_14816,c_15401]) ).
tff(c_15478,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15402,c_14812,c_14812,c_266]) ).
tff(c_15479,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_15395,c_15478]) ).
tff(c_15480,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_15388]) ).
tff(c_15611,plain,
( ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15600,c_14812,c_15480,c_15600,c_234]) ).
tff(c_15612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_15611]) ).
tff(c_15613,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_15599]) ).
tff(c_15642,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_15321,c_15613,c_46]) ).
tff(c_15643,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_14816,c_202,c_15642]) ).
tff(c_15644,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_15319]) ).
tff(c_15646,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_15644]) ).
tff(c_284,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_15915,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15646,c_14812,c_15646,c_284]) ).
tff(c_15916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_14800,c_15915]) ).
tff(c_15918,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_15644]) ).
tff(c_16013,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_381,c_2]) ).
tff(c_16014,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_16013]) ).
tff(c_16038,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16014,c_14812,c_16014,c_234]) ).
tff(c_16039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_15918,c_16038]) ).
tff(c_16040,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_16013]) ).
tff(c_15320,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_14818,plain,
op(e2,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_14812,c_118]) ).
tff(c_15934,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14818,c_16]) ).
tff(c_15935,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_15934]) ).
tff(c_15991,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15935,c_82]) ).
tff(c_15992,plain,
( ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_15320,c_196,c_15991]) ).
tff(c_15993,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_15992]) ).
tff(c_15995,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15993,c_188]) ).
tff(c_15917,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_15644]) ).
tff(c_15921,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_15917,c_160]) ).
tff(c_294,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_16055,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16040,c_14812,c_294]) ).
tff(c_16056,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_16055]) ).
tff(c_16057,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_16056]) ).
tff(c_16047,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16040,c_98]) ).
tff(c_16089,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_15917,c_14812,c_54]) ).
tff(c_16090,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_16047,c_16089]) ).
tff(c_16095,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16090,c_138]) ).
tff(c_16076,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16040,c_15993,c_292]) ).
tff(c_16077,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_16057,c_196,c_16076]) ).
tff(c_16046,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_16040,c_100]) ).
tff(c_16115,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_16095,c_16077,c_16046,c_70]) ).
tff(c_16158,plain,
( ( op(e3,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16115,c_74]) ).
tff(c_16159,plain,
op(e3,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_14806,c_16057,c_198,c_16158]) ).
tff(c_16182,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16159,c_16040,c_36]) ).
tff(c_16183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_15995,c_196,c_15921,c_194,c_16182]) ).
tff(c_16185,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_16056]) ).
tff(c_296,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) != e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_16313,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16040,c_14812,c_16185,c_15993,c_296]) ).
tff(c_16314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_16313]) ).
tff(c_16316,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_15992]) ).
tff(c_16357,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_15918,c_16316,c_228]) ).
tff(c_16379,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_14800,c_292]) ).
tff(c_16380,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_16379]) ).
tff(c_16444,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14812,c_14812,c_266]) ).
tff(c_16445,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16357,c_202,c_16380,c_16444]) ).
tff(c_16446,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_16379]) ).
tff(c_16447,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_16379]) ).
tff(c_16457,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_16446,c_16447]) ).
tff(c_16458,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_16457]) ).
tff(c_16459,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_16473,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_16459]) ).
tff(c_16479,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_16473,c_118]) ).
tff(c_16488,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_16468,c_16479,c_16]) ).
tff(c_16489,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_16488]) ).
tff(c_16865,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16489,c_82]) ).
tff(c_16866,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_16865]) ).
tff(c_16867,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_16866]) ).
tff(c_300,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_17048,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16582,c_16473,c_16867,c_300]) ).
tff(c_17049,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_196,c_17048]) ).
tff(c_17182,plain,
( ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16473,c_16473,c_17049,c_16867,c_252]) ).
tff(c_17183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_17182]) ).
tff(c_17185,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_16866]) ).
tff(c_17213,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16582,c_16473,c_332]) ).
tff(c_17214,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_17213]) ).
tff(c_17215,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_17214]) ).
tff(c_17235,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16582,c_16582,c_17215,c_228]) ).
tff(c_17236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_17185,c_17235]) ).
tff(c_17237,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_17214]) ).
tff(c_17254,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16582,c_16582,c_17237,c_228]) ).
tff(c_17255,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_17254]) ).
tff(c_17273,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_16582,c_16473,c_17255,c_17237,c_300]) ).
tff(c_17274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_196,c_204,c_17273]) ).
tff(c_17276,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_16580]) ).
tff(c_17291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_17276,c_381,c_2]) ).
tff(c_17292,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_16459]) ).
tff(c_17294,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_17292]) ).
tff(c_17301,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_17294,c_118]) ).
tff(c_18094,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_16468,c_17301,c_16]) ).
tff(c_18095,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_18094]) ).
tff(c_18098,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18095,c_182]) ).
tff(c_18025,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_381,c_2]) ).
tff(c_17306,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_17308,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_186]) ).
tff(c_17332,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_16468,c_17301,c_17308,c_16]) ).
tff(c_17337,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17332,c_190]) ).
tff(c_17307,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_184]) ).
tff(c_17317,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_17307,c_40]) ).
tff(c_17318,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_17317]) ).
tff(c_17322,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17318,c_100]) ).
tff(c_17310,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_132]) ).
tff(c_17309,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_192]) ).
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_17343,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_17309,c_32]) ).
tff(c_17344,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_17343]) ).
tff(c_17393,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17294,c_17344,c_268]) ).
tff(c_17394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17322,c_198,c_17310,c_202,c_17393]) ).
tff(c_17395,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_17343]) ).
tff(c_17398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17337,c_17395]) ).
tff(c_17399,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_17317]) ).
tff(c_17401,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_17399]) ).
tff(c_16465,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_16462,c_150]) ).
tff(c_17312,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17306,c_128]) ).
tff(c_17479,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_17310,c_22]) ).
tff(c_17480,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_17479]) ).
tff(c_17417,plain,
op(e2,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_16468,c_17301,c_17308,c_16]) ).
tff(c_17422,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17417,c_190]) ).
tff(c_17428,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_17309,c_17422,c_32]) ).
tff(c_17575,plain,
( ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17401,c_17294,c_17480,c_17428,c_236]) ).
tff(c_17576,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_200,c_17575]) ).
tff(c_17577,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_17479]) ).
tff(c_17579,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_17577]) ).
tff(c_17586,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_17579,c_124]) ).
tff(c_17591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16465,c_14804,c_17312,c_17586,c_18]) ).
tff(c_17592,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_17577]) ).
tff(c_330,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_17644,plain,
( ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17401,c_17294,c_17592,c_17428,c_330]) ).
tff(c_17645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_17644]) ).
tff(c_17647,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_17399]) ).
tff(c_17685,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_17294,c_268]) ).
tff(c_17686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_17647,c_198,c_17310,c_17309,c_17685]) ).
tff(c_17687,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_17689,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_17687]) ).
tff(c_17692,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_17689,c_148]) ).
tff(c_17724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_17692,c_381,c_2]) ).
tff(c_17725,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_17687]) ).
tff(c_17727,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_17725]) ).
tff(c_18057,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18025,c_18025,c_17727,c_228]) ).
tff(c_18058,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_18057]) ).
tff(c_18077,plain,
( ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18025,c_17727,c_17727,c_18058,c_292]) ).
tff(c_18078,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_18077]) ).
tff(c_18079,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_17725]) ).
tff(c_18083,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18079,c_160]) ).
tff(c_18108,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_18098,c_18083,c_40]) ).
tff(c_18109,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_18108]) ).
tff(c_18113,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18109,c_100]) ).
tff(c_18166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_18113,c_381,c_2]) ).
tff(c_18167,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_18108]) ).
tff(c_336,plain,
( ( op(e3,e3) != e2 )
| ( op(op(e3,e3),op(e3,e3)) != e1 )
| ( op(op(e3,e3),e3) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_658]) ).
tff(c_18489,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16462,c_18167,c_17294,c_18167,c_18167,c_18167,c_336]) ).
tff(c_18490,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_18094]) ).
tff(c_18494,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18490,c_182]) ).
tff(c_18495,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18490,c_186]) ).
tff(c_18540,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18079,c_68]) ).
tff(c_18541,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_18495,c_194,c_18540]) ).
tff(c_18542,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_18541]) ).
tff(c_18545,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18542,c_172]) ).
tff(c_18496,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18490,c_190]) ).
tff(c_18544,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18542,c_180]) ).
tff(c_18561,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_84]) ).
tff(c_18562,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_18496,c_18544,c_196,c_18561]) ).
tff(c_18565,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_18562,c_164]) ).
tff(c_18503,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_381,c_2]) ).
tff(c_18591,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18503,c_36]) ).
tff(c_18592,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_18494,c_18545,c_18565,c_194,c_18591]) ).
tff(c_18594,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_18541]) ).
tff(c_18641,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18503,c_17294,c_236]) ).
tff(c_18642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_18594,c_18496,c_18641]) ).
tff(c_18643,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_17292]) ).
tff(c_18649,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18643,c_162]) ).
tff(c_18657,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_18649,c_72]) ).
tff(c_18658,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_18657]) ).
tff(c_18659,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18658,c_184]) ).
tff(c_18648,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18643,c_158]) ).
tff(c_18681,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_18659,c_18648,c_40]) ).
tff(c_18682,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_18681]) ).
tff(c_18686,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_18682,c_100]) ).
tff(c_18768,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_18686,c_381,c_2]) ).
tff(c_18769,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_18681]) ).
tff(c_19153,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18769,c_18769,c_228]) ).
tff(c_19154,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_19153]) ).
tff(c_19155,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_19154]) ).
tff(c_19203,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19155,c_18643,c_19155,c_284]) ).
tff(c_19204,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_14800,c_19203]) ).
tff(c_19205,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_19154]) ).
tff(c_19286,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18769,c_18643,c_19205,c_332]) ).
tff(c_19287,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_200,c_19286]) ).
tff(c_19339,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18769,c_18643,c_19287,c_19205,c_300]) ).
tff(c_19340,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_204,c_196,c_19339]) ).
tff(c_19341,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_18657]) ).
tff(c_19343,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_19341]) ).
tff(c_19346,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19343,c_148]) ).
tff(c_19393,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16464,c_14803,c_19346,c_381,c_2]) ).
tff(c_19394,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_19341]) ).
tff(c_19506,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18643,c_19394,c_300]) ).
tff(c_19507,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_198,c_198,c_14800,c_19506]) ).
tff(c_19508,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_16461]) ).
tff(c_19510,plain,
op(e2,e3) = e3,
inference(splitLeft,[status(thm)],[c_19508]) ).
tff(c_19515,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19510,c_110]) ).
tff(c_22364,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_19515,c_16459]) ).
tff(c_22365,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_22364]) ).
tff(c_14807,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_134]) ).
tff(c_19523,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_19515,c_16459]) ).
tff(c_19524,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_19523]) ).
tff(c_19527,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_19524,c_166]) ).
tff(c_19558,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_381,c_2]) ).
tff(c_19559,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_19558]) ).
tff(c_286,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_19856,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19559,c_286]) ).
tff(c_19857,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_19856]) ).
tff(c_19858,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_19857]) ).
tff(c_19522,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_270]) ).
tff(c_19884,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_19858,c_19522,c_22]) ).
tff(c_19885,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_19884]) ).
tff(c_19564,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_19559,c_98]) ).
tff(c_19575,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19524,c_62]) ).
tff(c_19576,plain,
( ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_19564,c_19575]) ).
tff(c_19577,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_19576]) ).
tff(c_19870,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19577,c_14801,c_88]) ).
tff(c_19871,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_19870]) ).
tff(c_19872,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_19871]) ).
tff(c_20056,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19559,c_19524,c_19885,c_19872,c_300]) ).
tff(c_20057,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_204,c_198,c_20056]) ).
tff(c_20058,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_19884]) ).
tff(c_20142,plain,
( ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19559,c_19524,c_20058,c_19872,c_296]) ).
tff(c_20143,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_20142]) ).
tff(c_20145,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_19871]) ).
tff(c_20161,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19559,c_19524,c_260]) ).
tff(c_20162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_19858,c_20145,c_20161]) ).
tff(c_20164,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_19857]) ).
tff(c_20261,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19559,c_20164,c_20164,c_292]) ).
tff(c_20262,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_20261]) ).
tff(c_20263,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_19558]) ).
tff(c_20269,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20263,c_148]) ).
tff(c_19514,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19510,c_150]) ).
tff(c_20328,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14804,c_20269,c_19514,c_18]) ).
tff(c_20333,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20328,c_124]) ).
tff(c_20280,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20263,c_286]) ).
tff(c_20281,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_20280]) ).
tff(c_20282,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_20281]) ).
tff(c_20352,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_20333,c_20282,c_19522,c_22]) ).
tff(c_20285,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20263,c_20263,c_228]) ).
tff(c_20286,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_19522,c_20285]) ).
tff(c_20436,plain,
( ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20263,c_19524,c_20352,c_20286,c_296]) ).
tff(c_20437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_20436]) ).
tff(c_20439,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_20281]) ).
tff(c_20456,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20263,c_20263,c_20439,c_228]) ).
tff(c_20457,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_20456]) ).
tff(c_20462,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20457,c_142]) ).
tff(c_20468,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_14807,c_19527,c_20462,c_28]) ).
tff(c_20474,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20468,c_138]) ).
tff(c_20441,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20439,c_180]) ).
tff(c_20463,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_20457,c_144]) ).
tff(c_20492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20474,c_14806,c_20441,c_20463,c_30]) ).
tff(c_20493,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_19523]) ).
tff(c_20501,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_118]) ).
tff(c_20507,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_20513,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20507,c_104]) ).
tff(c_20508,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20507,c_182]) ).
tff(c_20666,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_19510,c_56]) ).
tff(c_20667,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_20508,c_198,c_194,c_20666]) ).
tff(c_20671,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20667,c_174]) ).
tff(c_19517,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19510,c_116]) ).
tff(c_20690,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20507,c_82]) ).
tff(c_20691,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_19517,c_194,c_20690]) ).
tff(c_20692,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_20691]) ).
tff(c_20721,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_20692,c_268]) ).
tff(c_20722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20513,c_198,c_20671,c_194,c_20721]) ).
tff(c_20723,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_20691]) ).
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_20737,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20723,c_20507,c_90]) ).
tff(c_20738,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_20501,c_198,c_20737]) ).
tff(c_20739,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_20743,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_20739]) ).
tff(c_20746,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_20743,c_148]) ).
tff(c_20964,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14804,c_20746,c_19514,c_18]) ).
tff(c_20968,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_20964,c_124]) ).
tff(c_20784,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20743,c_20743,c_228]) ).
tff(c_20785,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_19522,c_20784]) ).
tff(c_316,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e0,e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_21046,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20785,c_20493,c_20785,c_316]) ).
tff(c_21047,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_20968,c_200,c_21046]) ).
tff(c_21049,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_20739]) ).
tff(c_21227,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_268]) ).
tff(c_21228,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_21049,c_198,c_21227]) ).
tff(c_21229,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_21228]) ).
tff(c_21233,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21229,c_174]) ).
tff(c_21249,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_19510,c_56]) ).
tff(c_21250,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_21233,c_198,c_194,c_21249]) ).
tff(c_21255,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21250,c_190]) ).
tff(c_264,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_21312,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_20493,c_264]) ).
tff(c_21313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21049,c_198,c_21255,c_21312]) ).
tff(c_21315,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_21228]) ).
tff(c_22138,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_21315,c_19522,c_22]) ).
tff(c_22139,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_22138]) ).
tff(c_22145,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22139,c_126]) ).
tff(c_21314,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_21228]) ).
tff(c_21336,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_21314,c_332]) ).
tff(c_21337,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_21336]) ).
tff(c_21338,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_21337]) ).
tff(c_21343,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_21338,c_100]) ).
tff(c_21359,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_21315,c_19522,c_22]) ).
tff(c_21360,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_21359]) ).
tff(c_21570,plain,
( ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21338,c_20493,c_21360,c_21338,c_234]) ).
tff(c_21571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_21570]) ).
tff(c_21572,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_21359]) ).
tff(c_21577,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_21572,c_172]) ).
tff(c_21048,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_20739]) ).
tff(c_21050,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_21048]) ).
tff(c_21054,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21050,c_170]) ).
tff(c_21199,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_19510,c_56]) ).
tff(c_21200,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_21054,c_198,c_194,c_21199]) ).
tff(c_21151,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_19510,c_56]) ).
tff(c_21152,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_21054,c_198,c_194,c_21151]) ).
tff(c_21157,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21152,c_190]) ).
tff(c_21056,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21050,c_172]) ).
tff(c_21140,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_21056,c_19522,c_22]) ).
tff(c_21141,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_21140]) ).
tff(c_21163,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_21141,c_268]) ).
tff(c_21164,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21049,c_198,c_202,c_21157,c_21163]) ).
tff(c_21165,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_21140]) ).
tff(c_21187,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_21165,c_268]) ).
tff(c_21188,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_21049,c_198,c_198,c_21187]) ).
tff(c_21193,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21188,c_190]) ).
tff(c_21211,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21200,c_21193]) ).
tff(c_21213,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_21048]) ).
tff(c_21212,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_21048]) ).
tff(c_21215,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_21212,c_164]) ).
tff(c_21326,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14807,c_21215,c_28]) ).
tff(c_21327,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_21326]) ).
tff(c_21660,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21314,c_21327,c_14801,c_84]) ).
tff(c_21661,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_21660]) ).
tff(c_21665,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_21661,c_176]) ).
tff(c_21685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21343,c_21577,c_21213,c_21665,c_6]) ).
tff(c_21686,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_21337]) ).
tff(c_21843,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_21686,c_21314,c_236]) ).
tff(c_21844,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_200,c_194,c_21843]) ).
tff(c_21845,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_21326]) ).
tff(c_22219,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21845,c_20493,c_21212,c_62]) ).
tff(c_22220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_22145,c_204,c_202,c_22219]) ).
tff(c_22221,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_22138]) ).
tff(c_22247,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_20493,c_22221,c_21314,c_332]) ).
tff(c_22248,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_202,c_22247]) ).
tff(c_22348,plain,
( ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22248,c_20493,c_22221,c_22248,c_234]) ).
tff(c_22349,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_22348]) ).
tff(c_22351,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_270]) ).
tff(c_22352,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22351,c_180]) ).
tff(c_22397,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_84]) ).
tff(c_22398,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_22352,c_196,c_22397]) ).
tff(c_22399,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_22398]) ).
tff(c_22481,plain,
( ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22384,c_22365,c_22351,c_22399,c_260]) ).
tff(c_22482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_22481]) ).
tff(c_22484,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_22398]) ).
tff(c_22690,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_22484,c_32]) ).
tff(c_22691,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_22690]) ).
tff(c_22890,plain,
( ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22384,c_22365,c_22351,c_22691,c_260]) ).
tff(c_22891,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_22890]) ).
tff(c_22892,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_22690]) ).
tff(c_22902,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22892,c_144]) ).
tff(c_22982,plain,
op(e0,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_14806,c_22902,c_22352,c_30]) ).
tff(c_22986,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22982,c_178]) ).
tff(c_22501,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_22484,c_32]) ).
tff(c_22502,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_22501]) ).
tff(c_22372,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22365,c_118]) ).
tff(c_22499,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_22372,c_19517,c_16]) ).
tff(c_22500,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_22499]) ).
tff(c_22507,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_22500,c_190]) ).
tff(c_22523,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_22502,c_22507]) ).
tff(c_22524,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_22501]) ).
tff(c_22675,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_22384,c_22365,c_22351,c_22524,c_300]) ).
tff(c_22676,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_198,c_22675]) ).
tff(c_22677,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_22499]) ).
tff(c_22684,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_22677,c_120]) ).
tff(c_22371,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_22365,c_114]) ).
tff(c_19516,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_19510,c_112]) ).
tff(c_23049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22986,c_22684,c_22371,c_19516,c_14]) ).
tff(c_23050,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_22383]) ).
tff(c_23202,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23050,c_22365,c_22351,c_332]) ).
tff(c_23203,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_200,c_23202]) ).
tff(c_23228,plain,
( ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23050,c_22365,c_22351,c_23203,c_330]) ).
tff(c_23229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_23228]) ).
tff(c_23230,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_22364]) ).
tff(c_23238,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_23230,c_118]) ).
tff(c_23376,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_23238,c_19517,c_16]) ).
tff(c_23377,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_23376]) ).
tff(c_22353,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_22351,c_172]) ).
tff(c_23263,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_84]) ).
tff(c_23264,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_22352,c_196,c_23263]) ).
tff(c_23265,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_23264]) ).
tff(c_23361,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23250,c_23230,c_23230,c_23265,c_264]) ).
tff(c_23362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_23361]) ).
tff(c_23363,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_23264]) ).
tff(c_23366,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_23363,c_164]) ).
tff(c_23393,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23250,c_36]) ).
tff(c_23394,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_22353,c_23366,c_200,c_23393]) ).
tff(c_23407,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23377,c_23394,c_90]) ).
tff(c_23408,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_204,c_196,c_23407]) ).
tff(c_23540,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e3) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_19510,c_23250,c_38]) ).
tff(c_23541,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_23540]) ).
tff(c_23632,plain,
( ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23408,c_22351,c_23541,c_80]) ).
tff(c_23633,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_23632]) ).
tff(c_344,plain,
( ( op(e2,e2) != e1 )
| ( op(op(e2,e2),op(e2,e2)) != e3 )
| ( op(op(e2,e2),e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_682]) ).
tff(c_23749,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_23633,c_23230,c_22351,c_23230,c_23230,c_23230,c_344]) ).
tff(c_23750,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_23376]) ).
tff(c_23756,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_23750,c_190]) ).
tff(c_23887,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23363,c_14801,c_88]) ).
tff(c_23888,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_23756,c_194,c_198,c_23887]) ).
tff(c_23977,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23888,c_23363,c_14801,c_96]) ).
tff(c_23978,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_204,c_23977]) ).
tff(c_24036,plain,
( ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_23250,c_23230,c_23230,c_23978,c_264]) ).
tff(c_24037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_24036]) ).
tff(c_24038,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_23249]) ).
tff(c_24172,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24038,c_23230,c_22351,c_332]) ).
tff(c_24173,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_24172]) ).
tff(c_24188,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24038,c_23230,c_22351,c_24173,c_330]) ).
tff(c_24189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_24188]) ).
tff(c_24190,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_19508]) ).
tff(c_24195,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24190,c_150]) ).
tff(c_24194,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24190,c_146]) ).
tff(c_27032,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14803,c_24194,c_381,c_2]) ).
tff(c_27036,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27032,c_148]) ).
tff(c_26989,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_26995,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26989,c_128]) ).
tff(c_27093,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27036,c_14804,c_24195,c_26995,c_18]) ).
tff(c_27094,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_27096,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_27094]) ).
tff(c_27101,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_27096,c_124]) ).
tff(c_24196,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24190,c_110]) ).
tff(c_24204,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24196,c_16459]) ).
tff(c_24205,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_24204]) ).
tff(c_26228,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_14803,c_286]) ).
tff(c_26229,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_26228]) ).
tff(c_26234,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_268]) ).
tff(c_26235,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_24194,c_194,c_26229,c_26234]) ).
tff(c_26240,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26235,c_144]) ).
tff(c_24197,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24190,c_112]) ).
tff(c_26065,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14803,c_24194,c_381,c_2]) ).
tff(c_26042,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24194,c_40]) ).
tff(c_26043,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_26042]) ).
tff(c_26046,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26043,c_184]) ).
tff(c_25364,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24194,c_40]) ).
tff(c_25365,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_25364]) ).
tff(c_25368,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25365,c_188]) ).
tff(c_24210,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_162]) ).
tff(c_25352,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24210,c_68]) ).
tff(c_25353,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_25352]) ).
tff(c_25356,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25353,c_192]) ).
tff(c_25387,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_25368,c_25356,c_32]) ).
tff(c_25391,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25387,c_142]) ).
tff(c_25376,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14803,c_24194,c_381,c_2]) ).
tff(c_25382,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25376,c_98]) ).
tff(c_25415,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25353,c_72]) ).
tff(c_25416,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_24195,c_25415]) ).
tff(c_25417,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_25416]) ).
tff(c_25443,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25376,c_24205,c_25417,c_25387,c_300]) ).
tff(c_25444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_204,c_25443]) ).
tff(c_25445,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_25416]) ).
tff(c_25456,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25445,c_24205,c_62]) ).
tff(c_25457,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25391,c_202,c_200,c_25382,c_25456]) ).
tff(c_25458,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_25364]) ).
tff(c_25461,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_25458]) ).
tff(c_25464,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25461,c_160]) ).
tff(c_25491,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25353,c_72]) ).
tff(c_25492,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_25464,c_24195,c_25491]) ).
tff(c_25478,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25461,c_48]) ).
tff(c_25479,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_25478]) ).
tff(c_25480,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_25479]) ).
tff(c_25484,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25480,c_188]) ).
tff(c_25505,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_25484,c_14800,c_25356,c_32]) ).
tff(c_25531,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_25492,c_25505,c_300]) ).
tff(c_25532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_198,c_198,c_25531]) ).
tff(c_25533,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_25479]) ).
tff(c_25535,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_25533]) ).
tff(c_25536,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25353,c_72]) ).
tff(c_25537,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_25464,c_24195,c_25536]) ).
tff(c_25570,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25535,c_24205,c_25537,c_300]) ).
tff(c_25571,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_14800,c_25570]) ).
tff(c_25573,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_25533]) ).
tff(c_25656,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25573,c_14803,c_24194,c_381,c_2]) ).
tff(c_25657,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_25458]) ).
tff(c_25675,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25657,c_48]) ).
tff(c_25676,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_25675]) ).
tff(c_25677,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_25676]) ).
tff(c_25694,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25677,c_104]) ).
tff(c_25760,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_24190,c_46]) ).
tff(c_25761,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_25694,c_25760]) ).
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_25851,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_25761,c_24190,c_34]) ).
tff(c_25852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_381,c_25851]) ).
tff(c_25853,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_25676]) ).
tff(c_25855,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_25853]) ).
tff(c_25859,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25855,c_148]) ).
tff(c_25359,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25353,c_128]) ).
tff(c_25942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25859,c_14804,c_24195,c_25359,c_18]) ).
tff(c_25944,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_25853]) ).
tff(c_25971,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14804,c_24195,c_25359,c_18]) ).
tff(c_25977,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_25971,c_124]) ).
tff(c_25661,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_25657,c_172]) ).
tff(c_25990,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_268]) ).
tff(c_25991,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_24194,c_194,c_25661,c_25990]) ).
tff(c_324,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_26038,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25991,c_25991,c_324]) ).
tff(c_26039,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25944,c_25977,c_202,c_26038]) ).
tff(c_26040,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_25352]) ).
tff(c_26054,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_26040]) ).
tff(c_26157,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26054,c_72]) ).
tff(c_26158,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_26046,c_194,c_26157]) ).
tff(c_26159,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_26158]) ).
tff(c_26045,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26043,c_188]) ).
tff(c_26075,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_26045,c_32]) ).
tff(c_26076,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_26075]) ).
tff(c_26118,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26065,c_24205,c_26076,c_268]) ).
tff(c_26119,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_202,c_26118]) ).
tff(c_26131,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26065,c_24205,c_26119,c_26076,c_300]) ).
tff(c_26132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_204,c_26131]) ).
tff(c_26133,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_26075]) ).
tff(c_26179,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26065,c_24205,c_26159,c_26133,c_300]) ).
tff(c_26180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_196,c_26179]) ).
tff(c_26182,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_26158]) ).
tff(c_26199,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26065,c_24205,c_26133,c_268]) ).
tff(c_26200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_26182,c_194,c_26199]) ).
tff(c_26201,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_26042]) ).
tff(c_26205,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_26201]) ).
tff(c_26209,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26205,c_102]) ).
tff(c_26276,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_26235,c_300]) ).
tff(c_26277,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_198,c_26276]) ).
tff(c_26304,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26277,c_70]) ).
tff(c_26305,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26240,c_198,c_24197,c_26209,c_26304]) ).
tff(c_26307,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_26228]) ).
tff(c_26367,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_26307,c_300]) ).
tff(c_26368,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_198,c_14800,c_26367]) ).
tff(c_26369,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_26201]) ).
tff(c_26373,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_26369,c_172]) ).
tff(c_26392,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_26040]) ).
tff(c_26399,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26392,c_124]) ).
tff(c_26425,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_26373,c_26399,c_22]) ).
tff(c_26426,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_26425]) ).
tff(c_26381,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_26382,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_26381]) ).
tff(c_26450,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_26426,c_26382,c_300]) ).
tff(c_26451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_204,c_204,c_26450]) ).
tff(c_26452,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_26425]) ).
tff(c_26485,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_26452,c_26382,c_268]) ).
tff(c_26486,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24194,c_194,c_198,c_202,c_26485]) ).
tff(c_26487,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_26040]) ).
tff(c_26490,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_26487,c_180]) ).
tff(c_24208,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_166]) ).
tff(c_26504,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26382,c_14801,c_84]) ).
tff(c_26505,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_26490,c_24208,c_196,c_26504]) ).
tff(c_26506,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_26381]) ).
tff(c_26520,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_26506]) ).
tff(c_24198,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24190,c_116]) ).
tff(c_24212,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_118]) ).
tff(c_24220,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24198,c_24212,c_16]) ).
tff(c_24221,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_24220]) ).
tff(c_24227,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24221,c_120]) ).
tff(c_24724,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14803,c_24194,c_381,c_2]) ).
tff(c_24728,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24724,c_148]) ).
tff(c_24651,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_24210,c_68]) ).
tff(c_24652,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_24651]) ).
tff(c_24658,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24652,c_128]) ).
tff(c_24796,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24728,c_14804,c_24195,c_24658,c_18]) ).
tff(c_24798,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_24651]) ).
tff(c_24353,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14803,c_24194,c_381,c_2]) ).
tff(c_24225,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24221,c_186]) ).
tff(c_24246,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14803,c_24194,c_381,c_2]) ).
tff(c_24232,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24194,c_40]) ).
tff(c_24233,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_24232]) ).
tff(c_24236,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24233,c_184]) ).
tff(c_24226,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24221,c_190]) ).
tff(c_24235,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24233,c_188]) ).
tff(c_24257,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_24226,c_14800,c_24235,c_32]) ).
tff(c_24261,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24257,c_192]) ).
tff(c_274,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_24279,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_274]) ).
tff(c_24283,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_24261,c_24279,c_24210,c_68]) ).
tff(c_24294,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24283,c_72]) ).
tff(c_24295,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24236,c_194,c_24294]) ).
tff(c_24296,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_24295]) ).
tff(c_24315,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24246,c_24205,c_24296,c_24257,c_300]) ).
tff(c_24316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_196,c_24315]) ).
tff(c_24318,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_24295]) ).
tff(c_24336,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24246,c_24205,c_24257,c_268]) ).
tff(c_24337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_24318,c_194,c_24336]) ).
tff(c_24338,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_24232]) ).
tff(c_24342,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_24338]) ).
tff(c_24344,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24342,c_164]) ).
tff(c_24364,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_14807,c_24344,c_24208,c_28]) ).
tff(c_24368,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24364,c_168]) ).
tff(c_24380,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_286]) ).
tff(c_24381,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_24380]) ).
tff(c_24382,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_24381]) ).
tff(c_24383,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24226,c_14800,c_32]) ).
tff(c_24384,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_24383]) ).
tff(c_24389,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24384,c_144]) ).
tff(c_24346,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24342,c_102]) ).
tff(c_24357,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_148]) ).
tff(c_24398,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24382,c_22]) ).
tff(c_24399,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_24398]) ).
tff(c_24418,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_24205,c_24399,c_24384,c_300]) ).
tff(c_24419,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_198,c_24418]) ).
tff(c_24420,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_24398]) ).
tff(c_24422,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_24420]) ).
tff(c_24432,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24422,c_124]) ).
tff(c_24439,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24357,c_14804,c_24195,c_24432,c_18]) ).
tff(c_24440,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_24420]) ).
tff(c_24487,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24440,c_70]) ).
tff(c_24488,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24389,c_198,c_24197,c_24346,c_24487]) ).
tff(c_24489,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_24383]) ).
tff(c_280,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) != e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_24501,plain,
( ( e3 = e1 )
| ( op(e1,e1) != e1 )
| ( e3 = e1 )
| ( op(e1,e1) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_24489,c_280]) ).
tff(c_24502,plain,
( ( op(e1,e1) != e1 )
| ( op(e1,e1) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_24501]) ).
tff(c_24503,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_24502]) ).
tff(c_24505,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24382,c_24503,c_22]) ).
tff(c_24506,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_24505]) ).
tff(c_24519,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_24205,c_24506,c_24489,c_300]) ).
tff(c_24520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_24519]) ).
tff(c_24521,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_24505]) ).
tff(c_24542,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_24357,c_14804,c_24195,c_18]) ).
tff(c_24552,plain,
( ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24521,c_24542,c_80]) ).
tff(c_24553,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24225,c_204,c_24368,c_200,c_24552]) ).
tff(c_24555,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_24502]) ).
tff(c_24569,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_24205,c_24555,c_24489,c_300]) ).
tff(c_24570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196,c_196,c_24569]) ).
tff(c_24572,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_24381]) ).
tff(c_24583,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24226,c_14800,c_32]) ).
tff(c_24584,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_24583]) ).
tff(c_24616,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_24205,c_24572,c_24584,c_300]) ).
tff(c_24617,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_198,c_24616]) ).
tff(c_24618,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_24583]) ).
tff(c_24637,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24353,c_24205,c_24572,c_24618,c_300]) ).
tff(c_24638,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_196,c_24637]) ).
tff(c_24639,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_24338]) ).
tff(c_24643,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_24639,c_172]) ).
tff(c_24822,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_332]) ).
tff(c_24823,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_24226,c_24822]) ).
tff(c_24824,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_24823]) ).
tff(c_24835,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24824,c_24205,c_268]) ).
tff(c_24836,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_24643,c_24835]) ).
tff(c_24224,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_24221,c_182]) ).
tff(c_24339,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_24232]) ).
tff(c_24810,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_24224,c_24339,c_8]) ).
tff(c_24811,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_24810]) ).
tff(c_24910,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24836,c_24221,c_24811,c_82]) ).
tff(c_24911,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_24798,c_200,c_196,c_24910]) ).
tff(c_24913,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_24823]) ).
tff(c_24797,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_24651]) ).
tff(c_24799,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_24797]) ).
tff(c_25081,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_24799,c_24190,c_46]) ).
tff(c_25082,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_24913,c_25081]) ).
tff(c_25083,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_24810]) ).
tff(c_25087,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_25083,c_188]) ).
tff(c_25098,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14801,c_84]) ).
tff(c_25099,plain,
op(e0,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_25087,c_24208,c_196,c_25098]) ).
tff(c_24804,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_24799,c_124]) ).
tff(c_25139,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_24643,c_24804,c_22]) ).
tff(c_25140,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_25139]) ).
tff(c_25112,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_268]) ).
tff(c_25113,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_24194,c_194,c_24643,c_25112]) ).
tff(c_25182,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_25140,c_25113,c_300]) ).
tff(c_25183,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_204,c_198,c_25182]) ).
tff(c_25184,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_25139]) ).
tff(c_25253,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_25099,c_25184,c_24639,c_78]) ).
tff(c_25254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_24227,c_202,c_25253]) ).
tff(c_25255,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_24797]) ).
tff(c_25290,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24226,c_14800,c_32]) ).
tff(c_25291,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_25290]) ).
tff(c_25306,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_25255,c_25291,c_300]) ).
tff(c_25307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_196,c_198,c_25306]) ).
tff(c_25308,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_25290]) ).
tff(c_25337,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_25255,c_25308,c_300]) ).
tff(c_25338,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_196,c_196,c_25337]) ).
tff(c_25339,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_24220]) ).
tff(c_25346,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_25339,c_120]) ).
tff(c_26680,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26369,c_74]) ).
tff(c_26681,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_14806,c_25346,c_198,c_26680]) ).
tff(c_26692,plain,
( ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26520,c_24205,c_26681,c_26520,c_316]) ).
tff(c_26693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_26692]) ).
tff(c_26694,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_26506]) ).
tff(c_26747,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_26694,c_300]) ).
tff(c_26748,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_14803,c_196,c_198,c_26747]) ).
tff(c_26841,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_24205,c_26748,c_26694,c_332]) ).
tff(c_26842,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_26841]) ).
tff(c_26971,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26842,c_24205,c_26748,c_26694,c_296]) ).
tff(c_26972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_26971]) ).
tff(c_26973,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_24204]) ).
tff(c_27143,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_234]) ).
tff(c_27144,plain,
op(e3,e3) != e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_196,c_27101,c_27143]) ).
tff(c_27247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27144,c_14803,c_24194,c_381,c_2]) ).
tff(c_27249,plain,
op(e1,e3) != e3,
inference(splitRight,[status(thm)],[c_27094]) ).
tff(c_28386,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_14804,c_24195,c_27249,c_18]) ).
tff(c_28390,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28386,c_148]) ).
tff(c_26981,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_118]) ).
tff(c_27975,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_26981,c_24198,c_16]) ).
tff(c_27976,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_27975]) ).
tff(c_27981,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_27976,c_190]) ).
tff(c_27960,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_268]) ).
tff(c_27961,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_24194,c_198,c_27960]) ).
tff(c_27962,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_27961]) ).
tff(c_27987,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_27962,c_332]) ).
tff(c_27988,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_27987]) ).
tff(c_27989,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_27988]) ).
tff(c_28041,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27989,c_26973,c_27962,c_27989,c_234]) ).
tff(c_28042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_28041]) ).
tff(c_28043,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_27988]) ).
tff(c_28045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_27981,c_28043]) ).
tff(c_28046,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_27975]) ).
tff(c_28050,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28046,c_182]) ).
tff(c_28061,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28050,c_8]) ).
tff(c_28062,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_28061]) ).
tff(c_28068,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28062,c_104]) ).
tff(c_28105,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28068,c_14803,c_24194,c_381,c_2]) ).
tff(c_28106,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_28061]) ).
tff(c_28108,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_28106]) ).
tff(c_28111,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28108,c_188]) ).
tff(c_28199,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_26973,c_264]) ).
tff(c_28200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_24194,c_198,c_28111,c_28199]) ).
tff(c_28201,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_28106]) ).
tff(c_28222,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28201,c_108]) ).
tff(c_28249,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28046,c_26973,c_24190,c_64]) ).
tff(c_28250,plain,
op(e2,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_28249]) ).
tff(c_28317,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27962,c_28250,c_74]) ).
tff(c_28318,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14806,c_198,c_204,c_28222,c_28317]) ).
tff(c_28319,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_27961]) ).
tff(c_28320,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_27961]) ).
tff(c_26980,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_114]) ).
tff(c_27248,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_27094]) ).
tff(c_27250,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_27248]) ).
tff(c_27858,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_26973,c_27250,c_268]) ).
tff(c_27859,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_24194,c_198,c_194,c_27858]) ).
tff(c_27865,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_27859,c_144]) ).
tff(c_27932,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27250,c_70]) ).
tff(c_27933,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_27865,c_194,c_24197,c_27932]) ).
tff(c_27946,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_27250,c_27933,c_74]) ).
tff(c_27947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14806,c_196,c_26980,c_198,c_27946]) ).
tff(c_27949,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_27248]) ).
tff(c_28356,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28320,c_27949,c_22]) ).
tff(c_28357,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_28356]) ).
tff(c_28364,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28357,c_124]) ).
tff(c_28369,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28364,c_14804,c_24195,c_27249,c_18]) ).
tff(c_28370,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_28356]) ).
tff(c_28534,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28319,c_28370,c_28319,c_324]) ).
tff(c_28535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28390,c_204,c_202,c_28534]) ).
tff(c_28536,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_14799]) ).
tff(c_28538,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_28536]) ).
tff(c_28541,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_180]) ).
tff(c_28549,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_64]) ).
tff(c_28554,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_118]) ).
tff(c_28552,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_190]) ).
tff(c_31927,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_32]) ).
tff(c_31928,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_31927]) ).
tff(c_31933,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31928,c_140]) ).
tff(c_28560,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_28565,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_126]) ).
tff(c_28555,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_120]) ).
tff(c_28539,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_178]) ).
tff(c_28585,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_14]) ).
tff(c_28586,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_28585]) ).
tff(c_28591,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28586,c_112]) ).
tff(c_28571,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_50]) ).
tff(c_28572,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_28571]) ).
tff(c_28573,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_28572]) ).
tff(c_28578,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28573,c_142]) ).
tff(c_28660,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_28578,c_32]) ).
tff(c_28664,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28660,c_188]) ).
tff(c_28589,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28586,c_170]) ).
tff(c_28670,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28664,c_28589,c_40]) ).
tff(c_28671,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_28670]) ).
tff(c_28676,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28671,c_98]) ).
tff(c_28537,plain,
op(e0,e3) != e1,
inference(splitRight,[status(thm)],[c_14799]) ).
tff(c_28579,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28573,c_134]) ).
tff(c_28597,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_28579,c_26]) ).
tff(c_28598,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_28597]) ).
tff(c_28577,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_28573,c_166]) ).
tff(c_28610,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_14800,c_284]) ).
tff(c_28611,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_28610]) ).
tff(c_28626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_28577,c_28611,c_28578,c_236]) ).
tff(c_28627,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_28610]) ).
tff(c_28643,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28627,c_110]) ).
tff(c_28648,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28598,c_42]) ).
tff(c_28649,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_28643,c_28648]) ).
tff(c_28650,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_28649]) ).
tff(c_28715,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28598,c_28650,c_38]) ).
tff(c_28716,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_28591,c_28676,c_28715]) ).
tff(c_28718,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_28670]) ).
tff(c_28753,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28573,c_28560,c_28627,c_54]) ).
tff(c_28754,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_28718,c_28753]) ).
tff(c_28755,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_28649]) ).
tff(c_28628,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_28610]) ).
tff(c_28829,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28755,c_28627,c_28628,c_268]) ).
tff(c_28830,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_194,c_28829]) ).
tff(c_28927,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28755,c_28830,c_28628,c_28830,c_324]) ).
tff(c_28928,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_28927]) ).
tff(c_28929,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_28597]) ).
tff(c_28936,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_28929,c_140]) ).
tff(c_29021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_28936,c_28578,c_32]) ).
tff(c_29022,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_28585]) ).
tff(c_29027,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29022,c_174]) ).
tff(c_29047,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_29048,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_29047]) ).
tff(c_29052,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29048,c_100]) ).
tff(c_256,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( op(e3,e3) = e2 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_28584,plain,
op(e2,e2) != e2,
inference(splitLeft,[status(thm)],[c_256]) ).
tff(c_29050,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_29048,c_152]) ).
tff(c_29203,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_29050,c_28537,c_28579,c_26]) ).
tff(c_29208,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29203,c_140]) ).
tff(c_29216,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29048,c_268]) ).
tff(c_29217,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_28584,c_29208,c_29216]) ).
tff(c_29228,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_29217,c_29022,c_78]) ).
tff(c_29229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_29052,c_29228]) ).
tff(c_29230,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_29047]) ).
tff(c_29232,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_29230]) ).
tff(c_29283,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29232,c_29232,c_228]) ).
tff(c_29284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_29027,c_28578,c_29283]) ).
tff(c_29285,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_29230]) ).
tff(c_29544,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29285,c_332]) ).
tff(c_29545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_28554,c_28565,c_28552,c_29544]) ).
tff(c_29547,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_256]) ).
tff(c_29552,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29547,c_114]) ).
tff(c_29562,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_29552,c_14]) ).
tff(c_29567,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29562,c_174]) ).
tff(c_29574,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29547,c_236]) ).
tff(c_29575,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_29567,c_28578,c_29574]) ).
tff(c_29576,plain,
( ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_28572]) ).
tff(c_29578,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_29576]) ).
tff(c_29581,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29578,c_158]) ).
tff(c_29591,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_14]) ).
tff(c_29592,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_29591]) ).
tff(c_29598,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29592,c_114]) ).
tff(c_29596,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_29592,c_174]) ).
tff(c_29603,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_14800,c_284]) ).
tff(c_29604,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_29603]) ).
tff(c_29605,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_381,c_29581,c_29604,c_236]) ).
tff(c_29618,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29605,c_332]) ).
tff(c_29619,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_28554,c_28565,c_200,c_29618]) ).
tff(c_29648,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29619,c_29605,c_268]) ).
tff(c_29649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_29598,c_29596,c_194,c_29648]) ).
tff(c_29650,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_29603]) ).
tff(c_29770,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_29650,c_29578,c_54]) ).
tff(c_29771,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_29770]) ).
tff(c_29807,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_29771,c_84]) ).
tff(c_29808,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_29807]) ).
tff(c_29809,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_29808]) ).
tff(c_29651,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_29603]) ).
tff(c_29899,plain,
( ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29809,c_29650,c_29651,c_29809,c_316]) ).
tff(c_29900,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_29899]) ).
tff(c_29901,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_29808]) ).
tff(c_29905,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29901,c_154]) ).
tff(c_29950,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_29592,c_29650,c_52]) ).
tff(c_29951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_29905,c_29950]) ).
tff(c_29952,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_29591]) ).
tff(c_29957,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_29952,c_174]) ).
tff(c_29965,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_29966,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_29965]) ).
tff(c_29978,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29966,c_29966,c_234]) ).
tff(c_29979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_29581,c_29957,c_29978]) ).
tff(c_29980,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_29965]) ).
tff(c_29993,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_29980]) ).
tff(c_29577,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_28572]) ).
tff(c_28564,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_122]) ).
tff(c_28553,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_116]) ).
tff(c_29981,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_29965]) ).
tff(c_29982,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_28564,c_28553,c_29981,c_46]) ).
tff(c_30031,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_29982,c_84]) ).
tff(c_30032,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_29577,c_200,c_30031]) ).
tff(c_30042,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_29993,c_30032,c_332]) ).
tff(c_30043,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_28554,c_28565,c_200,c_30042]) ).
tff(c_30044,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_29980]) ).
tff(c_30056,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30044,c_236]) ).
tff(c_30057,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_29581,c_29957,c_30056]) ).
tff(c_30068,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30044,c_30057,c_332]) ).
tff(c_30069,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_28554,c_28565,c_200,c_30068]) ).
tff(c_30070,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_29576]) ).
tff(c_30081,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_30082,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_30081]) ).
tff(c_30085,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_30082,c_152]) ).
tff(c_30096,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_30085,c_381,c_2]) ).
tff(c_30097,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_30096]) ).
tff(c_30124,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_40]) ).
tff(c_30125,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_30124]) ).
tff(c_30126,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_30125]) ).
tff(c_30129,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30126,c_188]) ).
tff(c_30140,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_30070,c_268]) ).
tff(c_30141,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_30129,c_30140]) ).
tff(c_30208,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_30070,c_30141,c_332]) ).
tff(c_30209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_28552,c_30208]) ).
tff(c_30210,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_30125]) ).
tff(c_30212,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_30210]) ).
tff(c_30218,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30212,c_164]) ).
tff(c_30271,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_30082,c_88]) ).
tff(c_30272,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_30218,c_202,c_30271]) ).
tff(c_30306,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30272,c_28538,c_30082,c_84]) ).
tff(c_30307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_29577,c_200,c_30306]) ).
tff(c_30308,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_30210]) ).
tff(c_30314,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30308,c_172]) ).
tff(c_30321,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30097,c_30070,c_268]) ).
tff(c_30322,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_30314,c_30321]) ).
tff(c_30327,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30322,c_142]) ).
tff(c_30309,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_30210]) ).
tff(c_30332,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_30070,c_54]) ).
tff(c_30333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30327,c_202,c_194,c_30309,c_30332]) ).
tff(c_30334,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_30096]) ).
tff(c_28561,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_168]) ).
tff(c_28543,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_138]) ).
tff(c_30347,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_32]) ).
tff(c_30348,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_30347]) ).
tff(c_30353,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30348,c_142]) ).
tff(c_30383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28561,c_28543,c_30353,c_29577,c_28]) ).
tff(c_30384,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_30347]) ).
tff(c_30423,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30334,c_30070,c_30384,c_300]) ).
tff(c_30424,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_28541,c_196,c_30423]) ).
tff(c_30425,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_30081]) ).
tff(c_30428,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_30425]) ).
tff(c_30433,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30428,c_156]) ).
tff(c_30450,plain,
( ( op(e1,e3) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_68]) ).
tff(c_30451,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_30433,c_30450]) ).
tff(c_30452,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_30451]) ).
tff(c_30839,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30452,c_28549,c_90]) ).
tff(c_30840,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_204,c_30839]) ).
tff(c_30846,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_30840,c_104]) ).
tff(c_30456,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30452,c_132]) ).
tff(c_30826,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_28565,c_28541,c_30456,c_22]) ).
tff(c_30852,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30826,c_30826,c_292]) ).
tff(c_30853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30846,c_198,c_14800,c_30852]) ).
tff(c_30854,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_30451]) ).
tff(c_31078,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30070,c_30854,c_332]) ).
tff(c_31079,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_28552,c_31078]) ).
tff(c_31082,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31079,c_100]) ).
tff(c_28540,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_176]) ).
tff(c_30868,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_40]) ).
tff(c_30870,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30868,c_188]) ).
tff(c_30434,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30428,c_140]) ).
tff(c_30987,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_30870,c_30434,c_32]) ).
tff(c_30988,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_40]) ).
tff(c_30990,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_30988]) ).
tff(c_30994,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_30990,c_98]) ).
tff(c_31003,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28560,c_30070,c_54]) ).
tff(c_31004,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_30994,c_31003]) ).
tff(c_31009,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31004,c_142]) ).
tff(c_31075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_31009,c_30434,c_32]) ).
tff(c_31076,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_30988]) ).
tff(c_31091,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_31076]) ).
tff(c_31095,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31091,c_170]) ).
tff(c_30076,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30070,c_114]) ).
tff(c_31161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_31095,c_30076,c_14]) ).
tff(c_31163,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_31076]) ).
tff(c_30858,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_30854,c_172]) ).
tff(c_31326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31082,c_28540,c_31163,c_30858,c_6]) ).
tff(c_31327,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_30425]) ).
tff(c_31332,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31327,c_152]) ).
tff(c_31334,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31327,c_140]) ).
tff(c_31345,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30070,c_268]) ).
tff(c_31346,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_31332,c_194,c_31334,c_31345]) ).
tff(c_31359,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_31327,c_84]) ).
tff(c_31360,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_29577,c_194,c_31359]) ).
tff(c_31371,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_30070,c_31346,c_31360,c_332]) ).
tff(c_31372,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_200,c_31371]) ).
tff(c_31385,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31372,c_31346,c_31346,c_31360,c_292]) ).
tff(c_31386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_31385]) ).
tff(c_31387,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_31389,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_31387]) ).
tff(c_31392,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31389,c_162]) ).
tff(c_31971,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31928,c_292]) ).
tff(c_31972,plain,
( ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_198,c_31971]) ).
tff(c_31973,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_31972]) ).
tff(c_28551,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_186]) ).
tff(c_31396,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31389,c_130]) ).
tff(c_31403,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28551,c_31396,c_24]) ).
tff(c_31404,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_31403]) ).
tff(c_31910,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_56]) ).
tff(c_31911,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_31910]) ).
tff(c_31912,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_31911]) ).
tff(c_31415,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_14]) ).
tff(c_31416,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_31415]) ).
tff(c_31420,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31416,c_174]) ).
tff(c_31446,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_31389,c_72]) ).
tff(c_31447,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_31420,c_194,c_31446]) ).
tff(c_31494,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31447,c_42]) ).
tff(c_31495,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_31494]) ).
tff(c_31496,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_31495]) ).
tff(c_31503,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_31496,c_146]) ).
tff(c_31427,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_28549,c_86]) ).
tff(c_31428,plain,
( ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_31427]) ).
tff(c_31429,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_31428]) ).
tff(c_31439,plain,
( ( e3 = e2 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31429,c_224]) ).
tff(c_31440,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_31439]) ).
tff(c_31441,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_31440]) ).
tff(c_31554,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_31503,c_31441,c_381,c_2]) ).
tff(c_31520,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_31416,c_78]) ).
tff(c_31521,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_31520]) ).
tff(c_31522,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_31521]) ).
tff(c_31571,plain,
( ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31554,c_31522,c_31554,c_234]) ).
tff(c_31572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_31392,c_31571]) ).
tff(c_31573,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_31521]) ).
tff(c_31579,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_31573,c_100]) ).
tff(c_31595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31579,c_31503,c_31441,c_381,c_2]) ).
tff(c_31596,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_31495]) ).
tff(c_31395,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_31389,c_126]) ).
tff(c_31627,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_31420,c_31395,c_22]) ).
tff(c_31681,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31596,c_31627,c_31429,c_236]) ).
tff(c_31682,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_31392,c_200,c_194,c_31681]) ).
tff(c_31684,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_31440]) ).
tff(c_31725,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_31420,c_31395,c_22]) ).
tff(c_31741,plain,
( ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31684,c_31684,c_31725,c_31429,c_228]) ).
tff(c_31742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_31741]) ).
tff(c_31743,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_31428]) ).
tff(c_31750,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31743,c_104]) ).
tff(c_31422,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31416,c_114]) ).
tff(c_31744,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_31428]) ).
tff(c_31822,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28554,c_28552,c_332]) ).
tff(c_31823,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_31822]) ).
tff(c_31842,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_31420,c_31395,c_22]) ).
tff(c_31867,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31823,c_31842,c_268]) ).
tff(c_31868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_31422,c_202,c_31744,c_31867]) ).
tff(c_31869,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_31822]) ).
tff(c_31906,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31869,c_268]) ).
tff(c_31907,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31750,c_31422,c_202,c_31744,c_31906]) ).
tff(c_31909,plain,
op(e2,e1) != e2,
inference(splitRight,[status(thm)],[c_31415]) ).
tff(c_31924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_31912,c_31909]) ).
tff(c_31925,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_31911]) ).
tff(c_31949,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_31925]) ).
tff(c_31965,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_31949,c_150]) ).
tff(c_31991,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_31389,c_80]) ).
tff(c_31992,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_31991]) ).
tff(c_31993,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_31992]) ).
tff(c_32021,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_31993,c_31389,c_72]) ).
tff(c_32022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_31965,c_32021]) ).
tff(c_32023,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_31992]) ).
tff(c_32044,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_31389,c_32023,c_72]) ).
tff(c_32045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_31973,c_194,c_202,c_32044]) ).
tff(c_32046,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_31972]) ).
tff(c_32151,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32046,c_32046,c_31928,c_232]) ).
tff(c_32152,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_31392,c_194,c_32151]) ).
tff(c_32154,plain,
op(e2,e3) != e2,
inference(splitRight,[status(thm)],[c_31925]) ).
tff(c_32153,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_31925]) ).
tff(c_32178,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31928,c_292]) ).
tff(c_32179,plain,
( ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_198,c_32178]) ).
tff(c_32180,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_32179]) ).
tff(c_32186,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_32180,c_31395,c_22]) ).
tff(c_32278,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32153,c_32186,c_31928,c_300]) ).
tff(c_32279,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_198,c_32278]) ).
tff(c_32301,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32279,c_32153,c_32186,c_31928,c_236]) ).
tff(c_32302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_194,c_32301]) ).
tff(c_32304,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_32179]) ).
tff(c_32326,plain,
( ( op(e1,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_32304,c_31389,c_80]) ).
tff(c_32327,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_32326]) ).
tff(c_32303,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_32179]) ).
tff(c_32365,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32327,c_32303,c_38]) ).
tff(c_32366,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31933,c_202,c_32154,c_198,c_32365]) ).
tff(c_32367,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_31927]) ).
tff(c_32392,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_31925]) ).
tff(c_32398,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32392,c_110]) ).
tff(c_32409,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32367,c_31404,c_28549,c_86]) ).
tff(c_32410,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_32409]) ).
tff(c_32415,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32410,c_106]) ).
tff(c_32450,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31389,c_54]) ).
tff(c_32451,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_32398,c_32415,c_32450]) ).
tff(c_32485,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32451,c_31389,c_62]) ).
tff(c_32486,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_28554,c_32485]) ).
tff(c_32491,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_32486,c_102]) ).
tff(c_32397,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32392,c_150]) ).
tff(c_32421,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_31404,c_31389,c_72]) ).
tff(c_32422,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_32397,c_32421]) ).
tff(c_31908,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_31415]) ).
tff(c_32505,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_32422,c_31908,c_78]) ).
tff(c_32506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_32491,c_32505]) ).
tff(c_32507,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_31925]) ).
tff(c_32522,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32367,c_31404,c_28549,c_86]) ).
tff(c_32523,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_32522]) ).
tff(c_32529,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32523,c_104]) ).
tff(c_290,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_32534,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_290]) ).
tff(c_32535,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_32534]) ).
tff(c_32624,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32507,c_32367,c_260]) ).
tff(c_32625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_32529,c_32535,c_194,c_32624]) ).
tff(c_32627,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_32534]) ).
tff(c_32709,plain,
( ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32367,c_32507,c_32627,c_32367,c_316]) ).
tff(c_32710,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_32709]) ).
tff(c_32711,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_31403]) ).
tff(c_32716,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32711,c_192]) ).
tff(c_32738,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_32716,c_32]) ).
tff(c_32817,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32738,c_32711,c_28549,c_90]) ).
tff(c_32818,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_32817]) ).
tff(c_32717,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_32711,c_132]) ).
tff(c_32781,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32738,c_268]) ).
tff(c_32782,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_32717,c_194,c_32781]) ).
tff(c_32783,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_32782]) ).
tff(c_350,plain,
( ( op(e0,e0) != e3 )
| ( op(op(e0,e0),op(e0,e0)) != e2 )
| ( op(op(e0,e0),e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_700]) ).
tff(c_33052,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_32818,c_32738,c_32783,c_32738,c_32738,c_32738,c_350]) ).
tff(c_33053,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_32782]) ).
tff(c_33057,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33053,c_166]) ).
tff(c_32744,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_32738,c_140]) ).
tff(c_32750,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_32744,c_26]) ).
tff(c_32751,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_32750]) ).
tff(c_33070,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32738,c_28538,c_32751,c_88]) ).
tff(c_33071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_33057,c_202,c_33070]) ).
tff(c_33072,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_32750]) ).
tff(c_33077,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33072,c_152]) ).
tff(c_33104,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_32738,c_268]) ).
tff(c_33105,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_33077,c_32717,c_194,c_33104]) ).
tff(c_33125,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33105,c_32738,c_260]) ).
tff(c_33126,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33077,c_32717,c_194,c_33125]) ).
tff(c_33127,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_31387]) ).
tff(c_33129,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_33127]) ).
tff(c_33133,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33129,c_162]) ).
tff(c_33137,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33129,c_130]) ).
tff(c_33143,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28551,c_33137,c_24]) ).
tff(c_33144,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_33143]) ).
tff(c_33148,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_192]) ).
tff(c_33147,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_184]) ).
tff(c_34631,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33147,c_40]) ).
tff(c_34632,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_34631]) ).
tff(c_34636,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34632,c_100]) ).
tff(c_33149,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_132]) ).
tff(c_34659,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_34636,c_33149,c_33148,c_268]) ).
tff(c_34663,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34659,c_166]) ).
tff(c_34614,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_34615,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_34614]) ).
tff(c_34673,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_34615,c_88]) ).
tff(c_34674,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33148,c_198,c_34663,c_202,c_34673]) ).
tff(c_34676,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_34631]) ).
tff(c_33156,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_66]) ).
tff(c_33157,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_33156]) ).
tff(c_33158,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_33157]) ).
tff(c_33739,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( op(e2,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33158,c_33158,c_284]) ).
tff(c_33740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_33133,c_196,c_14800,c_33739]) ).
tff(c_33742,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_33157]) ).
tff(c_34690,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_33149,c_33742,c_22]) ).
tff(c_34364,plain,
( ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33149,c_33148,c_268]) ).
tff(c_34365,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_34364]) ).
tff(c_34388,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34365,c_332]) ).
tff(c_34389,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_28554,c_28552,c_34388]) ).
tff(c_34394,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34389,c_124]) ).
tff(c_33135,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_33129,c_122]) ).
tff(c_33150,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_128]) ).
tff(c_34367,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34365,c_152]) ).
tff(c_33744,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_33745,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_33744]) ).
tff(c_33761,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33745,c_134]) ).
tff(c_33768,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33761,c_28543,c_28]) ).
tff(c_33769,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_33768]) ).
tff(c_33773,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33769,c_166]) ).
tff(c_244,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_33766,plain,
( ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_33149,c_33148,c_244]) ).
tff(c_33767,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_33766]) ).
tff(c_33942,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28554,c_33133,c_33773,c_33767,c_12]) ).
tff(c_33943,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_33768]) ).
tff(c_33961,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33943,c_142]) ).
tff(c_33741,plain,
( ( op(e2,e1) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_33157]) ).
tff(c_33743,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_33741]) ).
tff(c_33747,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33743,c_170]) ).
tff(c_33977,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_33747,c_14]) ).
tff(c_33982,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33977,c_112]) ).
tff(c_28550,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_182]) ).
tff(c_33751,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_33743,c_108]) ).
tff(c_33945,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_28550,c_33147,c_33751,c_8]) ).
tff(c_33966,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33945,c_33743,c_40]) ).
tff(c_33967,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_33966]) ).
tff(c_33968,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_33967]) ).
tff(c_33972,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_33968,c_98]) ).
tff(c_33759,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_33745,c_156]) ).
tff(c_34004,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_33759,c_33135,c_33150,c_18]) ).
tff(c_34025,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33745,c_34004,c_38]) ).
tff(c_34026,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_33982,c_33972,c_34025]) ).
tff(c_34027,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_33967]) ).
tff(c_34057,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_33149,c_33742,c_22]) ).
tff(c_34079,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34027,c_34027,c_34057,c_228]) ).
tff(c_34080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_33961,c_34079]) ).
tff(c_34082,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_33766]) ).
tff(c_34238,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_33149,c_33742,c_22]) ).
tff(c_34109,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_33148,c_32]) ).
tff(c_34350,plain,
( ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34082,c_34082,c_34238,c_34109,c_252]) ).
tff(c_34351,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_34350]) ).
tff(c_34352,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_33744]) ).
tff(c_34376,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_34367,c_34352]) ).
tff(c_34381,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34376,c_156]) ).
tff(c_34430,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34394,c_33135,c_33150,c_34381,c_18]) ).
tff(c_34432,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_34364]) ).
tff(c_34431,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_34364]) ).
tff(c_34588,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34431,c_260]) ).
tff(c_34589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_34432,c_33149,c_33148,c_34588]) ).
tff(c_34590,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_33741]) ).
tff(c_34754,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_34690,c_34590,c_70]) ).
tff(c_34755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_34676,c_34754]) ).
tff(c_34756,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_34614]) ).
tff(c_34758,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_34756]) ).
tff(c_34763,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34758,c_140]) ).
tff(c_34885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_33148,c_34763,c_32]) ).
tff(c_34886,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_34756]) ).
tff(c_35043,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34886,c_152]) ).
tff(c_35046,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34886,c_134]) ).
tff(c_35055,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33129,c_54]) ).
tff(c_35056,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_35046,c_198,c_35055]) ).
tff(c_35057,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_35056]) ).
tff(c_34888,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28554,c_28552,c_332]) ).
tff(c_34889,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_34888]) ).
tff(c_34906,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34886,c_134]) ).
tff(c_34913,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34889,c_40]) ).
tff(c_34914,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_33147,c_202,c_34913]) ).
tff(c_34915,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_34914]) ).
tff(c_34922,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_34915,c_102]) ).
tff(c_34940,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33129,c_54]) ).
tff(c_34941,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_34906,c_198,c_34922,c_34940]) ).
tff(c_34893,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_34889,c_148]) ).
tff(c_34951,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_33129,c_80]) ).
tff(c_34952,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_34893,c_34951]) ).
tff(c_34976,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34889,c_34941,c_34952,c_260]) ).
tff(c_34977,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_33148,c_34976]) ).
tff(c_34979,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_34914]) ).
tff(c_35006,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33144,c_33129,c_80]) ).
tff(c_35007,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_34893,c_35006]) ).
tff(c_35027,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_35007,c_34590,c_70]) ).
tff(c_35028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_34979,c_35027]) ).
tff(c_35029,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_34888]) ).
tff(c_35100,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35057,c_35029,c_260]) ).
tff(c_35101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35043,c_202,c_33148,c_35100]) ).
tff(c_35103,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_35056]) ).
tff(c_34597,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_34590,c_114]) ).
tff(c_35191,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28554,c_33133,c_35103,c_34597,c_12]) ).
tff(c_35192,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_33143]) ).
tff(c_35197,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_192]) ).
tff(c_35589,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_244]) ).
tff(c_35196,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_184]) ).
tff(c_35590,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28550,c_35196,c_8]) ).
tff(c_35591,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_35590]) ).
tff(c_35597,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35591,c_104]) ).
tff(c_35987,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_35597,c_28541,c_14800,c_292]) ).
tff(c_35988,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_33129,c_72]) ).
tff(c_35989,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_35987,c_198,c_35988]) ).
tff(c_36055,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_33129,c_35989,c_80]) ).
tff(c_36056,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_36055]) ).
tff(c_35643,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28554,c_28552,c_332]) ).
tff(c_35644,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_35643]) ).
tff(c_35648,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35644,c_148]) ).
tff(c_35602,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35591,c_40]) ).
tff(c_35603,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_35602]) ).
tff(c_35604,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_35603]) ).
tff(c_35606,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35604,c_170]) ).
tff(c_35609,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35604,c_102]) ).
tff(c_35619,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_33129,c_54]) ).
tff(c_35620,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_35609,c_35619]) ).
tff(c_35621,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_35620]) ).
tff(c_35625,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35621,c_166]) ).
tff(c_35631,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28549,c_56]) ).
tff(c_35632,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_35606,c_35625,c_35631]) ).
tff(c_35636,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35632,c_150]) ).
tff(c_35199,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_128]) ).
tff(c_35657,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35648,c_33135,c_35636,c_35199,c_18]) ).
tff(c_35658,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_35643]) ).
tff(c_35665,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35658,c_124]) ).
tff(c_35672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35665,c_33135,c_35636,c_35199,c_18]) ).
tff(c_35673,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_35620]) ).
tff(c_35686,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35673,c_332]) ).
tff(c_35687,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_28552,c_35686]) ).
tff(c_35688,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_35687]) ).
tff(c_35699,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_35604,c_78]) ).
tff(c_35700,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_28555,c_202,c_35699]) ).
tff(c_35674,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_35620]) ).
tff(c_35205,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_35206,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_35205]) ).
tff(c_35209,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_35206,c_152]) ).
tff(c_35198,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_132]) ).
tff(c_35217,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_268]) ).
tff(c_35243,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35217,c_35217,c_228]) ).
tff(c_35244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_35198,c_35197,c_35243]) ).
tff(c_35245,plain,
( ( op(e2,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_268]) ).
tff(c_35247,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_35245]) ).
tff(c_35251,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35247,c_188]) ).
tff(c_35271,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_28550,c_35251,c_35196,c_8]) ).
tff(c_35277,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_35271,c_104]) ).
tff(c_35246,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_268]) ).
tff(c_35407,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_35209,c_35277,c_35246,c_381,c_2]) ).
tff(c_35409,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_35245]) ).
tff(c_35573,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_35409,c_35197,c_32]) ).
tff(c_35574,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_35205]) ).
tff(c_35577,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_35574]) ).
tff(c_35736,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_35577,c_88]) ).
tff(c_35737,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_35674,c_194,c_35736]) ).
tff(c_35801,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35688,c_35673,c_35700,c_35737,c_300]) ).
tff(c_35802,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_204,c_198,c_35801]) ).
tff(c_35804,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_35687]) ).
tff(c_35835,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_35577,c_96]) ).
tff(c_35836,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_28552,c_204,c_200,c_35835]) ).
tff(c_35912,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35836,c_33129,c_35673,c_50]) ).
tff(c_35913,plain,
op(e3,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_35912]) ).
tff(c_35950,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35591,c_35604,c_35913,c_48]) ).
tff(c_35951,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_35804,c_35950]) ).
tff(c_35952,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_35603]) ).
tff(c_35954,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_35952]) ).
tff(c_35965,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35954,c_292]) ).
tff(c_35966,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_28541,c_14800,c_35965]) ).
tff(c_35957,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35954,c_148]) ).
tff(c_35971,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_33129,c_72]) ).
tff(c_35972,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_35966,c_198,c_35957,c_35971]) ).
tff(c_35974,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_35952]) ).
tff(c_35973,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_35952]) ).
tff(c_35977,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_35973,c_158]) ).
tff(c_36027,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_35974,c_35977,c_35987,c_268]) ).
tff(c_36083,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36056,c_36027,c_236]) ).
tff(c_36084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_35589,c_200,c_194,c_36083]) ).
tff(c_36085,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_35590]) ).
tff(c_36153,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_28549,c_36085,c_90]) ).
tff(c_36154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_204,c_198,c_36153]) ).
tff(c_36156,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_244]) ).
tff(c_36160,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36156,c_158]) ).
tff(c_36168,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28550,c_35196,c_8]) ).
tff(c_36169,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_36168]) ).
tff(c_36175,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36169,c_104]) ).
tff(c_35584,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_35577,c_134]) ).
tff(c_36180,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28543,c_35584,c_28]) ).
tff(c_36181,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_36180]) ).
tff(c_36214,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36181,c_33129,c_36156,c_54]) ).
tff(c_36215,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_36214]) ).
tff(c_36219,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36215,c_98]) ).
tff(c_36344,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_36175,c_36219,c_381,c_2]) ).
tff(c_36203,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_36175,c_28541,c_14800,c_292]) ).
tff(c_36204,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_36203,c_35198,c_22]) ).
tff(c_298,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_36356,plain,
( ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36344,c_36156,c_36204,c_36204,c_298]) ).
tff(c_36357,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_36356]) ).
tff(c_36358,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_36180]) ).
tff(c_36362,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36358,c_164]) ).
tff(c_36371,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36169,c_40]) ).
tff(c_36372,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_36362,c_36371]) ).
tff(c_36373,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_36372]) ).
tff(c_36424,plain,
( ( op(e3,e3) = e3 )
| ( op(e3,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36169,c_36373,c_36]) ).
tff(c_36425,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_36160,c_381,c_36424]) ).
tff(c_36426,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_36372]) ).
tff(c_36430,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36426,c_148]) ).
tff(c_36438,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_33129,c_72]) ).
tff(c_36439,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_36430,c_36438]) ).
tff(c_36466,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36426,c_36426,c_36439,c_228]) ).
tff(c_36467,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_35197,c_36466]) ).
tff(c_36468,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_36168]) ).
tff(c_36533,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_28549,c_36468,c_90]) ).
tff(c_36534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_204,c_198,c_36533]) ).
tff(c_36535,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_35574]) ).
tff(c_36541,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36535,c_156]) ).
tff(c_36599,plain,
( ( op(e1,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_33129,c_80]) ).
tff(c_36600,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_36599]) ).
tff(c_36601,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_36600]) ).
tff(c_36610,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_36601,c_33129,c_72]) ).
tff(c_36611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_36541,c_36610]) ).
tff(c_36612,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_36600]) ).
tff(c_36549,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_35192,c_28549,c_90]) ).
tff(c_36550,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_204,c_36549]) ).
tff(c_36556,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36550,c_104]) ).
tff(c_36562,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36535,c_42]) ).
tff(c_36563,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_33135,c_36556,c_36562]) ).
tff(c_36665,plain,
( ( op(e3,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36535,c_36612,c_36563,c_34]) ).
tff(c_36666,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_196,c_381,c_36665]) ).
tff(c_36667,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_33127]) ).
tff(c_36673,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_160]) ).
tff(c_36672,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_162]) ).
tff(c_36675,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_126]) ).
tff(c_37694,plain,
( ( op(e0,e0) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_36672,c_36675,c_268]) ).
tff(c_37695,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_37694]) ).
tff(c_37697,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37695,c_152]) ).
tff(c_37459,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_37460,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_37459]) ).
tff(c_37463,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37460,c_152]) ).
tff(c_37482,plain,
( ( op(e0,e0) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_36672,c_36675,c_268]) ).
tff(c_37483,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_37482]) ).
tff(c_36676,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_130]) ).
tff(c_36683,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28551,c_36676,c_24]) ).
tff(c_36684,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_36683]) ).
tff(c_36687,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36684,c_184]) ).
tff(c_37412,plain,
( ( op(e0,e0) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_36672,c_36675,c_268]) ).
tff(c_37413,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_37412]) ).
tff(c_37428,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37413,c_104]) ).
tff(c_36708,plain,
( ( op(e0,e0) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_36672,c_36675,c_268]) ).
tff(c_36709,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_36708]) ).
tff(c_36696,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_36]) ).
tff(c_36697,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_36696]) ).
tff(c_36700,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_36697,c_188]) ).
tff(c_36738,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_36700,c_32]) ).
tff(c_36785,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36684,c_36667,c_80]) ).
tff(c_36786,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_36785]) ).
tff(c_36787,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_36786]) ).
tff(c_36812,plain,
( ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36709,c_36709,c_36787,c_36738,c_228]) ).
tff(c_36813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_36812]) ).
tff(c_36815,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_36786]) ).
tff(c_36831,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_36815,c_28541,c_36675,c_22]) ).
tff(c_36849,plain,
( ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36709,c_36738,c_36831,c_36738,c_324]) ).
tff(c_36850,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_36849]) ).
tff(c_36852,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_36708]) ).
tff(c_37085,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28553,c_46]) ).
tff(c_37086,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_37085]) ).
tff(c_37092,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37086,c_156]) ).
tff(c_36690,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_36684,c_128]) ).
tff(c_36674,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_122]) ).
tff(c_37121,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_37092,c_36690,c_36674,c_18]) ).
tff(c_37107,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37086,c_42]) ).
tff(c_37108,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_36690,c_37107]) ).
tff(c_37109,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_37108]) ).
tff(c_37147,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37086,c_37121,c_37109,c_38]) ).
tff(c_37148,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_36852,c_37147]) ).
tff(c_37149,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_37108]) ).
tff(c_36671,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36667,c_168]) ).
tff(c_36862,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28543,c_36671,c_28]) ).
tff(c_36863,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_36862]) ).
tff(c_36868,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36863,c_134]) ).
tff(c_36890,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_36868,c_28553,c_46]) ).
tff(c_36891,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_36890]) ).
tff(c_36894,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36891,c_148]) ).
tff(c_36897,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_36891,c_124]) ).
tff(c_36904,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_36897,c_28541,c_36675,c_22]) ).
tff(c_36851,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_36708]) ).
tff(c_36964,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36904,c_36851,c_332]) ).
tff(c_36965,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36894,c_28554,c_200,c_202,c_36964]) ).
tff(c_36967,plain,
op(e1,e3) != e0,
inference(splitRight,[status(thm)],[c_36890]) ).
tff(c_37003,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_36967,c_36690,c_36674,c_18]) ).
tff(c_36857,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_36851,c_140]) ).
tff(c_36966,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_36890]) ).
tff(c_37017,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37003,c_36966,c_38]) ).
tff(c_37018,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_36857,c_194,c_202,c_37017]) ).
tff(c_37051,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37003,c_37018,c_36966,c_42]) ).
tff(c_37052,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_198,c_204,c_37051]) ).
tff(c_37053,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_36862]) ).
tff(c_37058,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37053,c_166]) ).
tff(c_37225,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_28554,c_36672,c_37058,c_12]) ).
tff(c_37285,plain,
( ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37149,c_37225,c_37149,c_36851,c_232]) ).
tff(c_37286,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_37285]) ).
tff(c_37288,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_37085]) ).
tff(c_37407,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_36851,c_28538,c_37053,c_96]) ).
tff(c_37408,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_37288,c_37407]) ).
tff(c_37410,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_36696]) ).
tff(c_37434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28550,c_36687,c_37428,c_37410,c_8]) ).
tff(c_37435,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_37412]) ).
tff(c_37449,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37435,c_188]) ).
tff(c_37456,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28550,c_36687,c_37449,c_37410,c_8]) ).
tff(c_37457,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_36683]) ).
tff(c_37475,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37457,c_132]) ).
tff(c_37528,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_36675,c_37475,c_22]) ).
tff(c_37474,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37457,c_192]) ).
tff(c_37514,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_28552,c_14800,c_37474,c_32]) ).
tff(c_37611,plain,
( ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37483,c_37483,c_37528,c_37514,c_228]) ).
tff(c_37612,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_37611]) ).
tff(c_37614,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_37482]) ).
tff(c_37627,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_37463,c_37614,c_381,c_2]) ).
tff(c_37634,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37627,c_104]) ).
tff(c_37613,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_37482]) ).
tff(c_37679,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37613,c_37457,c_28549,c_90]) ).
tff(c_37680,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_37634,c_37679]) ).
tff(c_37681,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_37459]) ).
tff(c_37707,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_37697,c_37681]) ).
tff(c_37754,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37707,c_37695,c_46]) ).
tff(c_37755,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_28553,c_202,c_37754]) ).
tff(c_37759,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37755,c_124]) ).
tff(c_37687,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37457,c_132]) ).
tff(c_37766,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37759,c_28541,c_36675,c_37687,c_22]) ).
tff(c_37767,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_37694]) ).
tff(c_37792,plain,
( ( op(e3,e0) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37767,c_37457,c_28549,c_90]) ).
tff(c_37793,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_37792]) ).
tff(c_37799,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_37793,c_104]) ).
tff(c_37768,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_37694]) ).
tff(c_37826,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_37799,c_37768,c_381,c_2]) ).
tff(c_37831,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37826,c_100]) ).
tff(c_37810,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_28555,c_28539,c_14]) ).
tff(c_37811,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_37810]) ).
tff(c_37816,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_37811,c_170]) ).
tff(c_37849,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_37831,c_28540,c_37816,c_6]) ).
tff(c_37859,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37793,c_37849,c_37826,c_40]) ).
tff(c_37860,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_36673,c_202,c_37859]) ).
tff(c_37861,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_37810]) ).
tff(c_37868,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37861,c_114]) ).
tff(c_37906,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_37799,c_37768,c_381,c_2]) ).
tff(c_37688,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_37457,c_128]) ).
tff(c_37878,plain,
( ( op(e1,e3) = e1 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_36674,c_37688,c_18]) ).
tff(c_37879,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_37878]) ).
tff(c_37884,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_37879,c_124]) ).
tff(c_37894,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_37884,c_28541,c_36675,c_37687,c_22]) ).
tff(c_37895,plain,
op(e1,e3) = e1,
inference(splitRight,[status(thm)],[c_37878]) ).
tff(c_37920,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37457,c_36667,c_37895,c_80]) ).
tff(c_37921,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_37920]) ).
tff(c_38010,plain,
( ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_37906,c_37921,c_37906,c_234]) ).
tff(c_38011,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_37868,c_38010]) ).
tff(c_38012,plain,
( ( op(e2,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_38014,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_38012]) ).
tff(c_38018,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_110]) ).
tff(c_38013,plain,
op(e2,e0) != e0,
inference(splitRight,[status(thm)],[c_64]) ).
tff(c_38019,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_112]) ).
tff(c_38017,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_150]) ).
tff(c_248,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_39712,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_248]) ).
tff(c_38025,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e2 )
| ( op(e1,e1) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_274]) ).
tff(c_38026,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_38025]) ).
tff(c_38016,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_146]) ).
tff(c_39537,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_42]) ).
tff(c_39538,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_204,c_39537]) ).
tff(c_39539,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_39538]) ).
tff(c_39542,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39539,c_148]) ).
tff(c_39550,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_38016,c_39542,c_381,c_2]) ).
tff(c_38027,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_38030,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_192]) ).
tff(c_38031,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_132]) ).
tff(c_38052,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38019,c_28539,c_14]) ).
tff(c_38053,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_38052]) ).
tff(c_38058,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38053,c_114]) ).
tff(c_38032,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_130]) ).
tff(c_38063,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_42]) ).
tff(c_38064,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_204,c_38063]) ).
tff(c_38065,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_38064]) ).
tff(c_38069,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38065,c_148]) ).
tff(c_38078,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_38016,c_38069,c_381,c_2]) ).
tff(c_38084,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_98]) ).
tff(c_38092,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_38018,c_62]) ).
tff(c_38093,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_38092]) ).
tff(c_38236,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38093,c_54]) ).
tff(c_38237,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_38032,c_38058,c_38084,c_38236]) ).
tff(c_38238,plain,
( ( op(e1,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_38092]) ).
tff(c_38240,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_38238]) ).
tff(c_38246,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38240,c_106]) ).
tff(c_38029,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_186]) ).
tff(c_38038,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38013,c_38029,c_16]) ).
tff(c_38039,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_38038]) ).
tff(c_38042,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38039,c_182]) ).
tff(c_38028,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_184]) ).
tff(c_38256,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_38078,c_228]) ).
tff(c_38257,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_38026,c_38256]) ).
tff(c_38260,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38257,c_188]) ).
tff(c_38356,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38246,c_38042,c_38028,c_38260,c_8]) ).
tff(c_38357,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_38238]) ).
tff(c_38364,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38357,c_126]) ).
tff(c_38374,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_38078,c_228]) ).
tff(c_38375,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_38026,c_38374]) ).
tff(c_38378,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38375,c_188]) ).
tff(c_38393,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38078,c_36]) ).
tff(c_38394,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_38378,c_194,c_38393]) ).
tff(c_38395,plain,
op(e3,e1) = e3,
inference(splitLeft,[status(thm)],[c_38394]) ).
tff(c_38421,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_38053,c_38395,c_78]) ).
tff(c_38422,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_38364,c_202,c_200,c_38421]) ).
tff(c_38423,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_38394]) ).
tff(c_38428,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38423,c_158]) ).
tff(c_38481,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38039,c_38053,c_38014,c_52]) ).
tff(c_38482,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_38428,c_200,c_38481]) ).
tff(c_38483,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_38064]) ).
tff(c_38496,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_38030,c_32]) ).
tff(c_38497,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_38496]) ).
tff(c_38535,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38483,c_38497,c_268]) ).
tff(c_38536,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_38058,c_38031,c_202,c_38535]) ).
tff(c_38537,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_38496]) ).
tff(c_38588,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38483,c_38537,c_268]) ).
tff(c_38589,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_38058,c_38031,c_194,c_38588]) ).
tff(c_38590,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_38052]) ).
tff(c_38605,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38016,c_381,c_2]) ).
tff(c_38606,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_38605]) ).
tff(c_38997,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_268]) ).
tff(c_38998,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_38031,c_38030,c_38997]) ).
tff(c_39020,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_38998,c_332]) ).
tff(c_39021,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_39020]) ).
tff(c_39022,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_39021]) ).
tff(c_39105,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_38998,c_39022,c_260]) ).
tff(c_39106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_38030,c_39105]) ).
tff(c_39108,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_39021]) ).
tff(c_38625,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_38018,c_62]) ).
tff(c_38626,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_38625]) ).
tff(c_38628,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38626,c_164]) ).
tff(c_38612,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_98]) ).
tff(c_38956,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_268]) ).
tff(c_38957,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_38031,c_38030,c_38956]) ).
tff(c_38961,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38957,c_158]) ).
tff(c_38637,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38027,c_38039,c_82]) ).
tff(c_38638,plain,
( ( op(e3,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_38637]) ).
tff(c_38639,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_38638]) ).
tff(c_38667,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_38639,c_268]) ).
tff(c_38668,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_38031,c_194,c_38667]) ).
tff(c_38649,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_40]) ).
tff(c_38650,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38028,c_198,c_38649]) ).
tff(c_38651,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_38650]) ).
tff(c_38715,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_38590,c_38651,c_78]) ).
tff(c_38716,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_38715]) ).
tff(c_38908,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_38668,c_38716,c_38639,c_260]) ).
tff(c_38909,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_38908]) ).
tff(c_38910,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_38650]) ).
tff(c_38914,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_38910,c_158]) ).
tff(c_38928,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_38031,c_38026,c_22]) ).
tff(c_38939,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38606,c_38928,c_38639,c_268]) ).
tff(c_38940,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_38914,c_202,c_194,c_38939]) ).
tff(c_38941,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_38638]) ).
tff(c_38947,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_38941,c_106]) ).
tff(c_38969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38628,c_38612,c_38961,c_38947,c_4]) ).
tff(c_38970,plain,
( ( op(e1,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_38625]) ).
tff(c_38972,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_38970]) ).
tff(c_38985,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38972,c_38606,c_40]) ).
tff(c_38986,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_38028,c_202,c_198,c_38985]) ).
tff(c_39195,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_38590,c_38986,c_78]) ).
tff(c_39196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_39108,c_200,c_202,c_39195]) ).
tff(c_39197,plain,
op(e1,e2) = e0,
inference(splitRight,[status(thm)],[c_38970]) ).
tff(c_39204,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_39197,c_126]) ).
tff(c_39289,plain,
( ( op(e3,e1) = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_38590,c_78]) ).
tff(c_39290,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_39204,c_200,c_39289]) ).
tff(c_39343,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_38590,c_39290,c_70]) ).
tff(c_39344,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_38031,c_194,c_202,c_39343]) ).
tff(c_39345,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_38605]) ).
tff(c_39351,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39345,c_100]) ).
tff(c_39486,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_38031,c_38026,c_22]) ).
tff(c_39521,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_39486,c_38590,c_70]) ).
tff(c_39522,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_39351,c_39521]) ).
tff(c_39523,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_38038]) ).
tff(c_39528,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_39523,c_190]) ).
tff(c_39562,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_38030,c_39528,c_32]) ).
tff(c_39618,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39550,c_39550,c_39562,c_228]) ).
tff(c_39619,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_38026,c_200,c_39618]) ).
tff(c_39620,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_39538]) ).
tff(c_39628,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_39620,c_104]) ).
tff(c_39634,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_38030,c_39528,c_32]) ).
tff(c_39708,plain,
( ( op(e3,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39634,c_38027,c_39523,c_90]) ).
tff(c_39709,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_39628,c_39708]) ).
tff(c_39710,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_39713,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_39710]) ).
tff(c_39898,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39713,c_38014,c_42]) ).
tff(c_39899,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_204,c_39898]) ).
tff(c_39922,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39899,c_256]) ).
tff(c_39923,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_39922]) ).
tff(c_39924,plain,
op(e2,e2) != e2,
inference(splitLeft,[status(thm)],[c_39923]) ).
tff(c_39718,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39713,c_124]) ).
tff(c_39925,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_39926,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_39925]) ).
tff(c_39978,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39899,c_39926,c_268]) ).
tff(c_39979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_39924,c_39718,c_202,c_39978]) ).
tff(c_39980,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_39925]) ).
tff(c_39985,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_39980]) ).
tff(c_40041,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39899,c_39985,c_332]) ).
tff(c_40042,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_38018,c_200,c_40041]) ).
tff(c_40086,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39899,c_40042,c_39985,c_268]) ).
tff(c_40087,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_39924,c_202,c_194,c_40086]) ).
tff(c_40088,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_39980]) ).
tff(c_40095,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40088,c_142]) ).
tff(c_39717,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39713,c_122]) ).
tff(c_40239,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_39718,c_38026,c_22]) ).
tff(c_40244,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40239,c_126]) ).
tff(c_40249,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_38018,c_62]) ).
tff(c_40250,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_40249]) ).
tff(c_40267,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40250,c_54]) ).
tff(c_40268,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_39717,c_39924,c_40267]) ).
tff(c_40273,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40268,c_102]) ).
tff(c_39726,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39713,c_38014,c_42]) ).
tff(c_39727,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_204,c_39726]) ).
tff(c_39724,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38019,c_28539,c_14]) ).
tff(c_39725,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_39724]) ).
tff(c_39743,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39725,c_114]) ).
tff(c_39818,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39727,c_268]) ).
tff(c_39819,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_39743,c_39718,c_39818]) ).
tff(c_39894,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39727,c_39727,c_39819,c_232]) ).
tff(c_39895,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_39712,c_194,c_39894]) ).
tff(c_39896,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_39724]) ).
tff(c_40290,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_40239,c_39896,c_70]) ).
tff(c_40291,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_40273,c_40290]) ).
tff(c_40292,plain,
( ( op(e1,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_40249]) ).
tff(c_40294,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_40244,c_40292]) ).
tff(c_40311,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40294,c_54]) ).
tff(c_40312,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40095,c_39717,c_39924,c_202,c_40311]) ).
tff(c_40314,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_39923]) ).
tff(c_39711,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_40320,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40314,c_118]) ).
tff(c_40354,plain,
( ( op(e3,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_39711,c_40320,c_86]) ).
tff(c_40355,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_40354]) ).
tff(c_40318,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40314,c_158]) ).
tff(c_40351,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39899,c_40]) ).
tff(c_40352,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_40318,c_198,c_40351]) ).
tff(c_40353,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_40352]) ).
tff(c_40358,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40353,c_188]) ).
tff(c_40376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40355,c_40358]) ).
tff(c_40378,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_40354]) ).
tff(c_39716,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_39713,c_156]) ).
tff(c_40317,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_40314,c_166]) ).
tff(c_40326,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28543,c_40317,c_28]) ).
tff(c_40327,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_40326]) ).
tff(c_40396,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_40327,c_88]) ).
tff(c_40397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40378,c_198,c_202,c_39716,c_40396]) ).
tff(c_40399,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_40352]) ).
tff(c_40409,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_39711,c_40320,c_40399,c_86]) ).
tff(c_40467,plain,
( ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39899,c_40314,c_39899,c_40409,c_232]) ).
tff(c_40468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_40467]) ).
tff(c_40469,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_40326]) ).
tff(c_40476,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40469,c_134]) ).
tff(c_40692,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_39713,c_38014,c_39899,c_34]) ).
tff(c_40693,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40476,c_194,c_200,c_196,c_40692]) ).
tff(c_40694,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_39710]) ).
tff(c_40696,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_40694]) ).
tff(c_40962,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40696,c_40696,c_292]) ).
tff(c_40963,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_14800,c_40962]) ).
tff(c_322,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_40958,plain,
( ( op(e0,e0) != e0 )
| ( e2 = e0 )
| ( op(e0,e0) != e2 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40696,c_322]) ).
tff(c_40959,plain,
( ( op(e0,e0) != e0 )
| ( op(e0,e0) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38016,c_202,c_40958]) ).
tff(c_40960,plain,
op(e0,e0) != e2,
inference(splitLeft,[status(thm)],[c_40959]) ).
tff(c_40928,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28543,c_28]) ).
tff(c_40929,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_40928]) ).
tff(c_40934,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_40929,c_142]) ).
tff(c_40942,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40696,c_332]) ).
tff(c_40943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38016,c_38018,c_202,c_40934,c_40942]) ).
tff(c_40944,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_40928]) ).
tff(c_40946,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_40944]) ).
tff(c_40952,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_40946,c_142]) ).
tff(c_41066,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_40960,c_40952,c_32]) ).
tff(c_41094,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40963,c_40696,c_41066,c_236]) ).
tff(c_41095,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_39712,c_194,c_200,c_41094]) ).
tff(c_41097,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_40959]) ).
tff(c_41116,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41097,c_140]) ).
tff(c_40695,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_39710]) ).
tff(c_41099,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40696,c_40696,c_292]) ).
tff(c_41100,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_14800,c_41099]) ).
tff(c_41176,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_41100,c_38]) ).
tff(c_41177,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41116,c_40695,c_202,c_198,c_41176]) ).
tff(c_41178,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_40944]) ).
tff(c_41186,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41178,c_134]) ).
tff(c_41196,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_40696,c_40696,c_292]) ).
tff(c_41197,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_14800,c_41196]) ).
tff(c_41266,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_41197,c_38]) ).
tff(c_41267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41186,c_40695,c_202,c_198,c_41266]) ).
tff(c_41268,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_40694]) ).
tff(c_41272,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_160]) ).
tff(c_41644,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_41272,c_40]) ).
tff(c_41645,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_41644]) ).
tff(c_41651,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41645,c_104]) ).
tff(c_41271,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_162]) ).
tff(c_41647,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41645,c_188]) ).
tff(c_41269,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_40694]) ).
tff(c_41657,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_41269,c_38026,c_22]) ).
tff(c_41685,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41657,c_268]) ).
tff(c_41686,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41651,c_41271,c_202,c_41647,c_41685]) ).
tff(c_41687,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_41644]) ).
tff(c_41689,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_41687]) ).
tff(c_41693,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41689,c_100]) ).
tff(c_41737,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_41269,c_38026,c_22]) ).
tff(c_38015,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_154]) ).
tff(c_41295,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38015,c_28537,c_26]) ).
tff(c_41296,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_41295]) ).
tff(c_41300,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41296,c_152]) ).
tff(c_41302,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41296,c_140]) ).
tff(c_41323,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41300,c_41271,c_41269,c_41302,c_268]) ).
tff(c_41324,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_41295]) ).
tff(c_41331,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41324,c_140]) ).
tff(c_41362,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_38026,c_41331,c_228]) ).
tff(c_41282,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38019,c_28539,c_14]) ).
tff(c_41283,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_41282]) ).
tff(c_41286,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41283,c_170]) ).
tff(c_41339,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_41286,c_41272,c_40]) ).
tff(c_41340,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_41339]) ).
tff(c_41342,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41340,c_188]) ).
tff(c_41270,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41268,c_168]) ).
tff(c_41358,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_41324,c_88]) ).
tff(c_41359,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41342,c_198,c_41270,c_194,c_41358]) ).
tff(c_41360,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_41339]) ).
tff(c_41363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41362,c_41360]) ).
tff(c_41364,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_41282]) ).
tff(c_41764,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_41737,c_41364,c_70]) ).
tff(c_41765,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_41693,c_41764]) ).
tff(c_41767,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_41687]) ).
tff(c_41378,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_38015,c_28537,c_26]) ).
tff(c_41379,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_41378]) ).
tff(c_41382,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41379,c_152]) ).
tff(c_41384,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41379,c_140]) ).
tff(c_41629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41382,c_41271,c_41269,c_41384,c_268]) ).
tff(c_41630,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_41378]) ).
tff(c_41635,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41630,c_156]) ).
tff(c_41809,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_38017,c_40695,c_41635,c_18]) ).
tff(c_41848,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41630,c_41809,c_38014,c_38]) ).
tff(c_41849,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_41767,c_41848]) ).
tff(c_41851,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_248]) ).
tff(c_41856,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41851,c_114]) ).
tff(c_42671,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_38019,c_28539,c_41856,c_14]) ).
tff(c_42676,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42671,c_174]) ).
tff(c_41864,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_39710]) ).
tff(c_42488,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41864,c_38014,c_42]) ).
tff(c_42489,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_204,c_42488]) ).
tff(c_41880,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41864,c_124]) ).
tff(c_42506,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_41880,c_38026,c_22]) ).
tff(c_41857,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41851,c_118]) ).
tff(c_41853,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_41851,c_166]) ).
tff(c_41948,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28543,c_41853,c_28]) ).
tff(c_41949,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_41948]) ).
tff(c_41954,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41949,c_142]) ).
tff(c_42303,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41864,c_38014,c_42]) ).
tff(c_42304,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_204,c_42303]) ).
tff(c_42349,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42304,c_41851,c_332]) ).
tff(c_42350,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_41954,c_42349]) ).
tff(c_42354,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42350,c_172]) ).
tff(c_41865,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_38019,c_28539,c_41856,c_14]) ).
tff(c_41869,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_41865,c_170]) ).
tff(c_42428,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_42354,c_28540,c_41869,c_6]) ).
tff(c_42432,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42428,c_108]) ).
tff(c_42374,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42304,c_41851,c_42350,c_268]) ).
tff(c_42375,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_42374]) ).
tff(c_41889,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39711,c_24]) ).
tff(c_41890,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_41889]) ).
tff(c_41895,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41890,c_132]) ).
tff(c_41945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41895,c_28541,c_41880,c_38026,c_22]) ).
tff(c_41946,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_41889]) ).
tff(c_41960,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_41946]) ).
tff(c_41994,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_41880,c_38026,c_22]) ).
tff(c_41998,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41994,c_172]) ).
tff(c_41952,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_41949,c_164]) ).
tff(c_41973,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41864,c_38014,c_42]) ).
tff(c_41974,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_204,c_41973]) ).
tff(c_42004,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41974,c_48]) ).
tff(c_42005,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_41998,c_41952,c_204,c_42004]) ).
tff(c_42016,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41960,c_42005,c_90]) ).
tff(c_42017,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_204,c_42016]) ).
tff(c_42033,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41974,c_41851,c_41994,c_268]) ).
tff(c_42034,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_42033]) ).
tff(c_354,plain,
( ( op(e0,e0) != e2 )
| ( op(op(e0,e0),op(e0,e0)) != e3 )
| ( op(op(e0,e0),e0) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_712]) ).
tff(c_42289,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_42017,c_42034,c_41851,c_42034,c_42034,c_42034,c_354]) ).
tff(c_42290,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_41946]) ).
tff(c_42445,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42375,c_42290,c_82]) ).
tff(c_42446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_41857,c_42432,c_42445]) ).
tff(c_42447,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_41948]) ).
tff(c_42648,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_42447,c_96]) ).
tff(c_42649,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_38015,c_42648]) ).
tff(c_42667,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42489,c_41851,c_42506,c_42649,c_268]) ).
tff(c_42668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_202,c_42667]) ).
tff(c_42669,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_39710]) ).
tff(c_42682,plain,
op(e1,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_42676,c_42669]) ).
tff(c_42684,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42682,c_168]) ).
tff(c_42759,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_42760,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_42759]) ).
tff(c_43013,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42760,c_28538,c_88]) ).
tff(c_43014,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_42684,c_43013]) ).
tff(c_42670,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_39710]) ).
tff(c_42697,plain,
( ( op(e1,e0) = e3 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_39711,c_24]) ).
tff(c_42698,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_42697]) ).
tff(c_42703,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42698,c_132]) ).
tff(c_42702,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_42698,c_192]) ).
tff(c_42755,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41851,c_332]) ).
tff(c_42756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38016,c_200,c_42703,c_42702,c_42755]) ).
tff(c_42757,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_42697]) ).
tff(c_42771,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_42757]) ).
tff(c_42777,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_42771,c_128]) ).
tff(c_42821,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_38017,c_42670,c_42777,c_18]) ).
tff(c_42825,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42821,c_148]) ).
tff(c_42782,plain,
( ( e3 = e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42760,c_224]) ).
tff(c_42783,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_200,c_42782]) ).
tff(c_42784,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_42783]) ).
tff(c_42881,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38016,c_42825,c_42784,c_381,c_2]) ).
tff(c_42883,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_42783]) ).
tff(c_42886,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42883,c_152]) ).
tff(c_42940,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_42760,c_28538,c_88]) ).
tff(c_42941,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_42684,c_42886,c_42940]) ).
tff(c_42942,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_42757]) ).
tff(c_42949,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_42942,c_128]) ).
tff(c_42994,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_38017,c_42949,c_42670,c_18]) ).
tff(c_43039,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43014,c_42994,c_38014,c_42]) ).
tff(c_43040,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_43039]) ).
tff(c_42968,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_42676,c_38026,c_22]) ).
tff(c_43066,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43040,c_41851,c_42968,c_42760,c_268]) ).
tff(c_43067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_202,c_43066]) ).
tff(c_43068,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_42759]) ).
tff(c_43073,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_43068]) ).
tff(c_43078,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43073,c_192]) ).
tff(c_43085,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_43078,c_42757]) ).
tff(c_43101,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43085,c_42682,c_80]) ).
tff(c_43102,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_38017,c_43101]) ).
tff(c_43106,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43102,c_172]) ).
tff(c_42675,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42671,c_170]) ).
tff(c_42685,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_42682,c_160]) ).
tff(c_43092,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43085,c_128]) ).
tff(c_43112,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_42]) ).
tff(c_43113,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_43092,c_204,c_43112]) ).
tff(c_43129,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43113,c_40]) ).
tff(c_43130,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_42675,c_42685,c_198,c_43129]) ).
tff(c_43190,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43130,c_43113,c_48]) ).
tff(c_43191,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_43106,c_204,c_43190]) ).
tff(c_43195,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43191,c_164]) ).
tff(c_43158,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_38014,c_43113,c_38]) ).
tff(c_43159,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_42670,c_202,c_198,c_43158]) ).
tff(c_43232,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43073,c_28538,c_43159,c_96]) ).
tff(c_43233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_43195,c_202,c_43232]) ).
tff(c_43234,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_43068]) ).
tff(c_43238,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43234,c_188]) ).
tff(c_43302,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_43238,c_42675,c_42685,c_40]) ).
tff(c_43277,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_41851,c_43234,c_332]) ).
tff(c_43278,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_38016,c_200,c_202,c_43277]) ).
tff(c_43315,plain,
( ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43302,c_43302,c_43278,c_43234,c_228]) ).
tff(c_43316,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_43315]) ).
tff(c_43318,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_38025]) ).
tff(c_43321,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43318,c_174]) ).
tff(c_43330,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_38019,c_28539,c_43321,c_14]) ).
tff(c_43335,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43330,c_114]) ).
tff(c_43925,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38016,c_381,c_2]) ).
tff(c_43926,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_43925]) ).
tff(c_43961,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43926,c_43318,c_268]) ).
tff(c_43962,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_43335,c_194,c_43961]) ).
tff(c_43345,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_38016,c_48]) ).
tff(c_43346,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_43345]) ).
tff(c_43352,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_43346,c_108]) ).
tff(c_43334,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43330,c_170]) ).
tff(c_43320,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43318,c_172]) ).
tff(c_43539,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43352,c_28540,c_43334,c_43320,c_6]) ).
tff(c_43541,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_43345]) ).
tff(c_43932,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_43926,c_104]) ).
tff(c_43965,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43962,c_188]) ).
tff(c_43323,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43318,c_132]) ).
tff(c_43973,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43962,c_82]) ).
tff(c_43974,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_43323,c_43973]) ).
tff(c_43975,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_43974]) ).
tff(c_43978,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_43975,c_182]) ).
tff(c_44092,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_43541,c_43932,c_43965,c_43978,c_8]) ).
tff(c_44093,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_43974]) ).
tff(c_44120,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43962,c_44093,c_90]) ).
tff(c_44121,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_44120]) ).
tff(c_44122,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_44121]) ).
tff(c_44125,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44122,c_186]) ).
tff(c_43336,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_43330,c_120]) ).
tff(c_44098,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44093,c_182]) ).
tff(c_44189,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38013,c_44125,c_43336,c_44098,c_16]) ).
tff(c_44190,plain,
op(e2,e0) = e1,
inference(splitRight,[status(thm)],[c_44121]) ).
tff(c_44198,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_44190,c_118]) ).
tff(c_44232,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_43318,c_43318,c_43962,c_284]) ).
tff(c_44233,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44198,c_196,c_198,c_44232]) ).
tff(c_44234,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_43925]) ).
tff(c_44617,plain,
( ( op(e0,e0) != e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44234,c_43318,c_330]) ).
tff(c_44618,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_38018,c_200,c_44617]) ).
tff(c_44619,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44234,c_43318,c_332]) ).
tff(c_44620,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_38018,c_200,c_44618,c_44619]) ).
tff(c_44621,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_38012]) ).
tff(c_44623,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_44621]) ).
tff(c_44626,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_174]) ).
tff(c_44628,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_114]) ).
tff(c_44625,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_170]) ).
tff(c_44622,plain,
op(e2,e3) != e0,
inference(splitRight,[status(thm)],[c_38012]) ).
tff(c_44634,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_20]) ).
tff(c_44638,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_122]) ).
tff(c_48594,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44638,c_44622,c_46]) ).
tff(c_48595,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_48594]) ).
tff(c_48968,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48595,c_152]) ).
tff(c_48970,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_48595,c_140]) ).
tff(c_47955,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44638,c_44622,c_46]) ).
tff(c_47956,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_47955]) ).
tff(c_47959,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47956,c_152]) ).
tff(c_47953,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_224]) ).
tff(c_47954,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_47953]) ).
tff(c_48111,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_47959,c_47954,c_381,c_2]) ).
tff(c_46176,plain,
op(e2,e2) != e2,
inference(splitLeft,[status(thm)],[c_256]) ).
tff(c_45546,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_45547,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_45546]) ).
tff(c_45549,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_45547,c_152]) ).
tff(c_44645,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_50]) ).
tff(c_44646,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_44645]) ).
tff(c_44647,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_44646]) ).
tff(c_44651,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44647,c_166]) ).
tff(c_44652,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44647,c_142]) ).
tff(c_44650,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44647,c_164]) ).
tff(c_44662,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44650,c_381,c_36]) ).
tff(c_44663,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_44662]) ).
tff(c_44659,plain,
op(e2,e2) != e2,
inference(splitLeft,[status(thm)],[c_256]) ).
tff(c_44637,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_160]) ).
tff(c_44676,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_44677,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_44676]) ).
tff(c_44735,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44663,c_44677,c_40]) ).
tff(c_44736,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_44735]) ).
tff(c_44737,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_44736]) ).
tff(c_44742,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44737,c_102]) ).
tff(c_44755,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44647,c_44634,c_54]) ).
tff(c_44756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_44659,c_44742,c_44755]) ).
tff(c_44758,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_44736]) ).
tff(c_44776,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44677,c_44677,c_234]) ).
tff(c_44777,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_44651,c_44776]) ).
tff(c_44818,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44777,c_44623,c_70]) ).
tff(c_44819,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_44758,c_44818]) ).
tff(c_44820,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_44676]) ).
tff(c_44822,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_44820]) ).
tff(c_44862,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44663,c_44822,c_48]) ).
tff(c_44863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_44625,c_44637,c_202,c_44862]) ).
tff(c_44864,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_44820]) ).
tff(c_44883,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44663,c_44864,c_40]) ).
tff(c_44884,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_44883]) ).
tff(c_44885,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_44884]) ).
tff(c_44890,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_44885,c_102]) ).
tff(c_44911,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44647,c_44634,c_54]) ).
tff(c_44912,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_44659,c_44890,c_44911]) ).
tff(c_44913,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_44884]) ).
tff(c_44929,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44663,c_44913,c_44864,c_48]) ).
tff(c_44930,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_44625,c_202,c_204,c_44929]) ).
tff(c_44931,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_44662]) ).
tff(c_44935,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_44931,c_172]) ).
tff(c_44945,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_44946,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_44945]) ).
tff(c_45128,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44946,c_268]) ).
tff(c_45129,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_44659,c_45128]) ).
tff(c_45130,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_45129]) ).
tff(c_45274,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44946,c_45130,c_236]) ).
tff(c_45275,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_44651,c_194,c_44652,c_45274]) ).
tff(c_45277,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_45129]) ).
tff(c_45361,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_44931,c_70]) ).
tff(c_45362,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_45277,c_202,c_194,c_45361]) ).
tff(c_45363,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_44945]) ).
tff(c_45365,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_45363]) ).
tff(c_45377,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45365,c_236]) ).
tff(c_45378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_44651,c_44935,c_44652,c_45377]) ).
tff(c_45379,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_45363]) ).
tff(c_44932,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_44662]) ).
tff(c_45394,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_44652,c_44932,c_82]) ).
tff(c_45395,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_45394]) ).
tff(c_45447,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45395,c_44634,c_72]) ).
tff(c_45448,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_45447]) ).
tff(c_45449,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_45448]) ).
tff(c_45488,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45379,c_45449,c_236]) ).
tff(c_45489,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_44651,c_194,c_44652,c_45488]) ).
tff(c_45491,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_45448]) ).
tff(c_45526,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_44931,c_70]) ).
tff(c_45527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_45491,c_202,c_194,c_45526]) ).
tff(c_45529,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_256]) ).
tff(c_45560,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45547,c_45529,c_45547,c_234]) ).
tff(c_45561,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_45560]) ).
tff(c_45571,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_44652,c_32]) ).
tff(c_45572,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_45571]) ).
tff(c_45628,plain,
( ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45547,c_45529,c_45561,c_45572,c_260]) ).
tff(c_45629,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_45628]) ).
tff(c_45630,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_45571]) ).
tff(c_45777,plain,
( ( op(e0,e3) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45630,c_28538,c_44647,c_96]) ).
tff(c_45778,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_45549,c_45777]) ).
tff(c_45779,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_45546]) ).
tff(c_45781,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_45779]) ).
tff(c_45802,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45781,c_152]) ).
tff(c_45818,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45781,c_45529,c_332]) ).
tff(c_45819,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_44626,c_45818]) ).
tff(c_45872,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45819,c_28538,c_44647,c_88]) ).
tff(c_45873,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_45802,c_45872]) ).
tff(c_45874,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_45779]) ).
tff(c_45534,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_45529,c_158]) ).
tff(c_45890,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45874,c_40]) ).
tff(c_45891,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_45534,c_198,c_45890]) ).
tff(c_45892,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_45891]) ).
tff(c_46048,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45892,c_45874,c_48]) ).
tff(c_46049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_44625,c_44637,c_204,c_46048]) ).
tff(c_46050,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_45891]) ).
tff(c_46054,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46050,c_172]) ).
tff(c_46115,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45874,c_45529,c_260]) ).
tff(c_46116,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_46054,c_46115]) ).
tff(c_46159,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_45874,c_45529,c_46116,c_332]) ).
tff(c_46160,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_44626,c_202,c_46159]) ).
tff(c_46161,plain,
( ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_44646]) ).
tff(c_46163,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_46161]) ).
tff(c_46169,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46163,c_106]) ).
tff(c_46944,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_46169,c_82]) ).
tff(c_46945,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_46944]) ).
tff(c_46948,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46945,c_190]) ).
tff(c_44635,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_168]) ).
tff(c_46178,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_42]) ).
tff(c_46179,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_46178]) ).
tff(c_46185,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46179,c_128]) ).
tff(c_46166,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46163,c_158]) ).
tff(c_46190,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_14800,c_284]) ).
tff(c_46191,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_46190]) ).
tff(c_46192,plain,
op(e3,e3) != e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_46166,c_46191,c_234]) ).
tff(c_46181,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46179,c_148]) ).
tff(c_46195,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_46176,c_268]) ).
tff(c_46196,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_46195]) ).
tff(c_46201,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46196,c_100]) ).
tff(c_46341,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_70]) ).
tff(c_46342,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_46201,c_46341]) ).
tff(c_46305,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46196,c_46196,c_228]) ).
tff(c_46306,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_46191,c_46305]) ).
tff(c_46353,plain,
( ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46196,c_46342,c_46342,c_46306,c_292]) ).
tff(c_46354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_46353]) ).
tff(c_46356,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_46195]) ).
tff(c_46385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46192,c_46181,c_46356,c_381,c_2]) ).
tff(c_46386,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_46190]) ).
tff(c_46393,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46386,c_118]) ).
tff(c_46510,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_46185,c_46393,c_90]) ).
tff(c_46413,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46163,c_40]) ).
tff(c_46414,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_46413]) ).
tff(c_46415,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_46414]) ).
tff(c_46421,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46415,c_104]) ).
tff(c_46387,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_46190]) ).
tff(c_46418,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46415,c_188]) ).
tff(c_46426,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_46418,c_32]) ).
tff(c_46427,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_46426]) ).
tff(c_46452,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46386,c_46387,c_46427,c_268]) ).
tff(c_46453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46421,c_198,c_194,c_202,c_46452]) ).
tff(c_46454,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_46426]) ).
tff(c_46469,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46454,c_46415,c_90]) ).
tff(c_46470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_46185,c_46393,c_198,c_46469]) ).
tff(c_46471,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_46414]) ).
tff(c_46473,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_46471]) ).
tff(c_46578,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46510,c_46163,c_46473,c_48]) ).
tff(c_46579,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_44625,c_200,c_202,c_46578]) ).
tff(c_46580,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_46471]) ).
tff(c_46593,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46580,c_46163,c_48]) ).
tff(c_46594,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_46593]) ).
tff(c_46595,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_46594]) ).
tff(c_46622,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46595,c_90]) ).
tff(c_46623,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_46185,c_46393,c_204,c_46622]) ).
tff(c_46624,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_46594]) ).
tff(c_46629,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_46624,c_152]) ).
tff(c_46636,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_46637,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_46636]) ).
tff(c_46648,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46624,c_46386,c_46387,c_46637,c_268]) ).
tff(c_46649,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_202,c_46648]) ).
tff(c_46650,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_46636]) ).
tff(c_46652,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_46650]) ).
tff(c_46717,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46624,c_46386,c_46386,c_46652,c_264]) ).
tff(c_46718,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_46717]) ).
tff(c_46719,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_46650]) ).
tff(c_46817,plain,
( ( op(e0,e3) = e0 )
| ( op(e0,e2) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46719,c_28538,c_96]) ).
tff(c_46818,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_44635,c_46629,c_46817]) ).
tff(c_46820,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_46178]) ).
tff(c_46819,plain,
( ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_46178]) ).
tff(c_46821,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_46819]) ).
tff(c_46840,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46821,c_268]) ).
tff(c_46841,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_46176,c_46840]) ).
tff(c_46842,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_46841]) ).
tff(c_46847,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_46842,c_124]) ).
tff(c_46985,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_44638,c_46820,c_46847,c_18]) ).
tff(c_46989,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46985,c_150]) ).
tff(c_46895,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_44638,c_46820,c_46847,c_18]) ).
tff(c_46899,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46895,c_150]) ).
tff(c_46827,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_46821,c_146]) ).
tff(c_46852,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_60]) ).
tff(c_46853,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_46827,c_46852]) ).
tff(c_46854,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_46853]) ).
tff(c_46930,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46854,c_44623,c_52]) ).
tff(c_46931,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_46166,c_46899,c_46930]) ).
tff(c_46932,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_46853]) ).
tff(c_47026,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_46932,c_52]) ).
tff(c_47027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_46948,c_200,c_196,c_46989,c_47026]) ).
tff(c_47029,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_46944]) ).
tff(c_47080,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_46932,c_46163,c_54]) ).
tff(c_47081,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_47080]) ).
tff(c_47056,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46821,c_46]) ).
tff(c_47057,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_44638,c_44622,c_204,c_47056]) ).
tff(c_47095,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_47081,c_47057,c_84]) ).
tff(c_47096,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47029,c_196,c_194,c_200,c_47095]) ).
tff(c_47097,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_46841]) ).
tff(c_47103,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47097,c_142]) ).
tff(c_47174,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_46163,c_54]) ).
tff(c_47175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47103,c_202,c_46176,c_194,c_47174]) ).
tff(c_47176,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_46819]) ).
tff(c_47191,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47176,c_46]) ).
tff(c_47192,plain,
( ( op(e3,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44638,c_204,c_47191]) ).
tff(c_47193,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_47192]) ).
tff(c_47204,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47193,c_152]) ).
tff(c_47206,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_47193,c_140]) ).
tff(c_47189,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_46166,c_236]) ).
tff(c_47190,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_47189]) ).
tff(c_47396,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47190,c_332]) ).
tff(c_47397,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47204,c_44628,c_200,c_47206,c_47396]) ).
tff(c_47398,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_47192]) ).
tff(c_47488,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_46163,c_54]) ).
tff(c_47489,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_46176,c_194,c_47488]) ).
tff(c_47494,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47489,c_142]) ).
tff(c_47518,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_47494,c_32]) ).
tff(c_47519,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_47518]) ).
tff(c_47604,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47398,c_47190,c_47519,c_268]) ).
tff(c_47605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_46176,c_194,c_202,c_47604]) ).
tff(c_47606,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_47518]) ).
tff(c_47623,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47606,c_47190,c_47606,c_316]) ).
tff(c_47624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44628,c_200,c_47623]) ).
tff(c_47625,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_47189]) ).
tff(c_47664,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_46163,c_54]) ).
tff(c_47665,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_46176,c_194,c_47664]) ).
tff(c_47670,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47665,c_134]) ).
tff(c_47638,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_46163,c_40]) ).
tff(c_47639,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_47638]) ).
tff(c_47640,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_47639]) ).
tff(c_47650,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47640,c_46163,c_48]) ).
tff(c_47651,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_44625,c_200,c_47650]) ).
tff(c_47679,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47651,c_47625,c_268]) ).
tff(c_47680,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_46176,c_194,c_47679]) ).
tff(c_47686,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47680,c_124]) ).
tff(c_47723,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47176,c_47651,c_38]) ).
tff(c_47724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_47670,c_47686,c_198,c_202,c_47723]) ).
tff(c_47725,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_47639]) ).
tff(c_47727,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_47725]) ).
tff(c_47732,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47727,c_100]) ).
tff(c_47777,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_70]) ).
tff(c_47778,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_47732,c_47777]) ).
tff(c_47876,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_47625,c_47778,c_47625,c_316]) ).
tff(c_47877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44628,c_202,c_200,c_47876]) ).
tff(c_47878,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_47725]) ).
tff(c_47883,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47878,c_172]) ).
tff(c_47626,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_47189]) ).
tff(c_47939,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_47883,c_47626,c_22]) ).
tff(c_47941,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_256]) ).
tff(c_47944,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_47941,c_166]) ).
tff(c_48100,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_47956,c_88]) ).
tff(c_48101,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_47944,c_202,c_48100]) ).
tff(c_48173,plain,
( ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48111,c_47941,c_48111,c_48101,c_232]) ).
tff(c_48174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_48173]) ).
tff(c_48175,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_47955]) ).
tff(c_48308,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_22]) ).
tff(c_48309,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_48308]) ).
tff(c_48344,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48175,c_47941,c_48309,c_300]) ).
tff(c_48345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_198,c_14800,c_48344]) ).
tff(c_48346,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_48308]) ).
tff(c_48384,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48175,c_47941,c_48346,c_300]) ).
tff(c_48385,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_14800,c_48384]) ).
tff(c_48387,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_47953]) ).
tff(c_48391,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_48387,c_100]) ).
tff(c_48417,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48387,c_48387,c_228]) ).
tff(c_48418,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_48417]) ).
tff(c_48419,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_48418]) ).
tff(c_48507,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_48419,c_44623,c_70]) ).
tff(c_48508,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_48391,c_48507]) ).
tff(c_48510,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_48418]) ).
tff(c_46167,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_46163,c_102]) ).
tff(c_48571,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_66]) ).
tff(c_48572,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_48510,c_200,c_46167,c_48571]) ).
tff(c_48573,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_46161]) ).
tff(c_49000,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48573,c_332]) ).
tff(c_49001,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_48968,c_200,c_44626,c_48970,c_49000]) ).
tff(c_49002,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_48594]) ).
tff(c_49009,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49002,c_104]) ).
tff(c_49611,plain,
( ( op(e3,e2) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_48573,c_58]) ).
tff(c_49612,plain,
op(e3,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_28543,c_204,c_196,c_49611]) ).
tff(c_49617,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49612,c_106]) ).
tff(c_49457,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49002,c_48573,c_268]) ).
tff(c_49458,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_49457]) ).
tff(c_49459,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_49458]) ).
tff(c_49511,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49002,c_49459,c_49459,c_292]) ).
tff(c_49512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_49511]) ).
tff(c_49513,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_49458]) ).
tff(c_49517,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49513,c_188]) ).
tff(c_44640,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_130]) ).
tff(c_49156,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49002,c_48573,c_268]) ).
tff(c_49157,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_49156]) ).
tff(c_49158,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_49157]) ).
tff(c_49162,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49158,c_132]) ).
tff(c_48579,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_48573,c_118]) ).
tff(c_49015,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_48579,c_82]) ).
tff(c_49016,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_49015]) ).
tff(c_49036,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49002,c_48573,c_49016,c_268]) ).
tff(c_49037,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_194,c_49036]) ).
tff(c_49133,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49002,c_48573,c_49037,c_49016,c_300]) ).
tff(c_49134,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_196,c_49133]) ).
tff(c_49135,plain,
( ( op(e1,e0) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_49015]) ).
tff(c_49137,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_49135]) ).
tff(c_49141,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49137,c_184]) ).
tff(c_49253,plain,
op(e1,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_44640,c_49162,c_49141,c_24]) ).
tff(c_49257,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_49253,c_186]) ).
tff(c_49186,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_48573,c_56]) ).
tff(c_49187,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_49186]) ).
tff(c_49188,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_49187]) ).
tff(c_49192,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49188,c_190]) ).
tff(c_49161,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49158,c_172]) ).
tff(c_49171,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49137,c_49002,c_40]) ).
tff(c_49172,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_49161,c_202,c_49171]) ).
tff(c_49175,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49172,c_164]) ).
tff(c_49136,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_49015]) ).
tff(c_46162,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_44646]) ).
tff(c_49223,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_84]) ).
tff(c_49224,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_49136,c_196,c_46162,c_49223]) ).
tff(c_49240,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_49224,c_88]) ).
tff(c_49241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49192,c_198,c_49175,c_194,c_49240]) ).
tff(c_49242,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_49187]) ).
tff(c_49332,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_48573,c_49242,c_60]) ).
tff(c_49333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49257,c_204,c_196,c_198,c_49332]) ).
tff(c_49335,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_49157]) ).
tff(c_49334,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_49157]) ).
tff(c_49340,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49334,c_142]) ).
tff(c_49351,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49137,c_49002,c_40]) ).
tff(c_49352,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_49351]) ).
tff(c_49353,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_49352]) ).
tff(c_49358,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49353,c_102]) ).
tff(c_49363,plain,
( ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44634,c_48573,c_54]) ).
tff(c_49364,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49340,c_202,c_194,c_49358,c_49363]) ).
tff(c_49366,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_49352]) ).
tff(c_49432,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_70]) ).
tff(c_49433,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_49335,c_202,c_49366,c_49432]) ).
tff(c_49434,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_49135]) ).
tff(c_49437,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49434,c_184]) ).
tff(c_49637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49009,c_49617,c_49517,c_49437,c_8]) ).
tff(c_49638,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_20]) ).
tff(c_49640,plain,
op(e1,e2) = e3,
inference(splitLeft,[status(thm)],[c_49638]) ).
tff(c_49643,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49640,c_162]) ).
tff(c_49646,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49640,c_126]) ).
tff(c_49652,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49640,c_72]) ).
tff(c_49653,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_49652]) ).
tff(c_49654,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_49653]) ).
tff(c_49659,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49654,c_132]) ).
tff(c_49669,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44622,c_46]) ).
tff(c_49670,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_49669]) ).
tff(c_49675,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_49670,c_140]) ).
tff(c_49657,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49654,c_186]) ).
tff(c_49642,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49640,c_168]) ).
tff(c_49750,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_49670,c_84]) ).
tff(c_49751,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_49642,c_200,c_49750]) ).
tff(c_49756,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49751,c_190]) ).
tff(c_49766,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_38013,c_49657,c_49756,c_16]) ).
tff(c_49681,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_224]) ).
tff(c_49682,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_49681]) ).
tff(c_49658,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49654,c_192]) ).
tff(c_49704,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_56]) ).
tff(c_49705,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_49657,c_202,c_49704]) ).
tff(c_49706,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_49705]) ).
tff(c_49719,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49706,c_260]) ).
tff(c_49720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49682,c_49659,c_49658,c_49719]) ).
tff(c_49721,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_49705]) ).
tff(c_49779,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49766,c_44623,c_49721,c_52]) ).
tff(c_49780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_49643,c_194,c_49779]) ).
tff(c_49782,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_49681]) ).
tff(c_49823,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49782,c_332]) ).
tff(c_49824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_44628,c_44626,c_49675,c_49823]) ).
tff(c_49825,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_49669]) ).
tff(c_49828,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_49825]) ).
tff(c_49971,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49828,c_300]) ).
tff(c_49972,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_28541,c_14800,c_49971]) ).
tff(c_49826,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_49669]) ).
tff(c_49858,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49654,c_82]) ).
tff(c_49859,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_49858]) ).
tff(c_49860,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_49859]) ).
tff(c_49866,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49860,c_140]) ).
tff(c_49907,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_49826,c_28537,c_49866,c_26]) ).
tff(c_49911,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_49907,c_154]) ).
tff(c_49875,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49828,c_49860,c_300]) ).
tff(c_49876,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_28541,c_196,c_49875]) ).
tff(c_49918,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_49876,c_56]) ).
tff(c_49919,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_49657,c_202,c_198,c_49911,c_49918]) ).
tff(c_49921,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_49859]) ).
tff(c_50039,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_49658,c_49921,c_32]) ).
tff(c_50066,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49828,c_49972,c_50039,c_268]) ).
tff(c_50067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_49659,c_202,c_50066]) ).
tff(c_50068,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_49825]) ).
tff(c_50164,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_49654,c_49640,c_50068,c_76]) ).
tff(c_50165,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_28541,c_196,c_204,c_50164]) ).
tff(c_50166,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_49653]) ).
tff(c_50168,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_50166]) ).
tff(c_50191,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50168,c_42]) ).
tff(c_50192,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_50191]) ).
tff(c_50193,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_50192]) ).
tff(c_50197,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50193,c_146]) ).
tff(c_50170,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50168,c_148]) ).
tff(c_50210,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_50197,c_50170,c_381,c_2]) ).
tff(c_50234,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50210,c_50210,c_234]) ).
tff(c_50235,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_49643,c_49646,c_50234]) ).
tff(c_50236,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_50192]) ).
tff(c_50248,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_84]) ).
tff(c_50249,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_49642,c_50248]) ).
tff(c_50250,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_50249]) ).
tff(c_50293,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50236,c_50250,c_332]) ).
tff(c_50294,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_44626,c_200,c_50293]) ).
tff(c_50295,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_50249]) ).
tff(c_50313,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50295,c_50168,c_50236,c_46]) ).
tff(c_50314,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_44622,c_204,c_50313]) ).
tff(c_50315,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_50166]) ).
tff(c_50321,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50315,c_172]) ).
tff(c_50332,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_42]) ).
tff(c_50333,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_50332]) ).
tff(c_50336,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50333,c_148]) ).
tff(c_50411,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50315,c_50315,c_292]) ).
tff(c_50412,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50336,c_198,c_14800,c_50411]) ).
tff(c_50413,plain,
( ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_50332]) ).
tff(c_50415,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_50413]) ).
tff(c_50420,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50415,c_98]) ).
tff(c_49644,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_49640,c_160]) ).
tff(c_50427,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50420,c_49644,c_4]) ).
tff(c_50428,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_50427]) ).
tff(c_50434,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50428,c_106]) ).
tff(c_50421,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50415,c_104]) ).
tff(c_50441,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_50442,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_50441]) ).
tff(c_50489,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50415,c_50315,c_50442,c_330]) ).
tff(c_50490,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_202,c_50489]) ).
tff(c_50491,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_50441]) ).
tff(c_50493,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_50491]) ).
tff(c_50581,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50493,c_50315,c_50493,c_316]) ).
tff(c_50582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44628,c_202,c_200,c_50581]) ).
tff(c_50583,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_50491]) ).
tff(c_50588,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50583,c_188]) ).
tff(c_50600,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_50434,c_50421,c_50588,c_8]) ).
tff(c_50606,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_50600,c_108]) ).
tff(c_50691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44625,c_28540,c_50321,c_50606,c_6]) ).
tff(c_50692,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_50427]) ).
tff(c_50958,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50692,c_106]) ).
tff(c_50710,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_50692,c_158]) ).
tff(c_50694,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_50421,c_8]) ).
tff(c_50695,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_50694]) ).
tff(c_50698,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_50695,c_188]) ).
tff(c_50718,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_50698,c_14800,c_32]) ).
tff(c_50719,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_50718]) ).
tff(c_50832,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50415,c_50315,c_50719,c_332]) ).
tff(c_50833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_202,c_202,c_50832]) ).
tff(c_50834,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_50718]) ).
tff(c_50903,plain,
( ( e3 = e2 )
| ( op(e2,e2) != e1 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50415,c_50834,c_264]) ).
tff(c_50904,plain,
op(e2,e2) != e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_50710,c_194,c_50903]) ).
tff(c_50949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44628,c_50904,c_50710,c_49643,c_12]) ).
tff(c_50950,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_50694]) ).
tff(c_50963,plain,
op(e3,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_50958,c_50950]) ).
tff(c_50979,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50963,c_50692,c_50415,c_48]) ).
tff(c_50980,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_44625,c_202,c_204,c_50979]) ).
tff(c_50982,plain,
op(e3,e3) != e1,
inference(splitRight,[status(thm)],[c_50413]) ).
tff(c_50981,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_50413]) ).
tff(c_50987,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_50981,c_110]) ).
tff(c_51707,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_50315,c_300]) ).
tff(c_51708,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_50982,c_50987,c_198,c_14800,c_51707]) ).
tff(c_51709,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_49638]) ).
tff(c_51711,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_51709]) ).
tff(c_51719,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_130]) ).
tff(c_51715,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_162]) ).
tff(c_54822,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_60]) ).
tff(c_54823,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_51715,c_54822]) ).
tff(c_54824,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_54823]) ).
tff(c_54829,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_54824,c_116]) ).
tff(c_54835,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_224]) ).
tff(c_54836,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_54835]) ).
tff(c_54849,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_54836,c_381,c_2]) ).
tff(c_54850,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_54849]) ).
tff(c_54854,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54850,c_148]) ).
tff(c_51717,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_122]) ).
tff(c_51724,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_72]) ).
tff(c_51725,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_51724]) ).
tff(c_51726,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_51725]) ).
tff(c_51728,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_184]) ).
tff(c_51731,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_132]) ).
tff(c_51730,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_192]) ).
tff(c_51752,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_36]) ).
tff(c_51753,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_51752]) ).
tff(c_51756,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_51753,c_188]) ).
tff(c_51764,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_51730,c_51756,c_32]) ).
tff(c_51819,plain,
( ( e3 = e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51764,c_224]) ).
tff(c_51820,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_200,c_51819]) ).
tff(c_51821,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_51820]) ).
tff(c_51768,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51764,c_142]) ).
tff(c_51778,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_51779,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_51778]) ).
tff(c_51784,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_51779,c_98]) ).
tff(c_51799,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51779,c_51764,c_268]) ).
tff(c_51800,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_51731,c_202,c_51799]) ).
tff(c_51815,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_51800,c_62]) ).
tff(c_51816,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51768,c_204,c_202,c_51784,c_51815]) ).
tff(c_51817,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_51778]) ).
tff(c_51822,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_51821,c_51817]) ).
tff(c_51842,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51822,c_51764,c_268]) ).
tff(c_51843,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_51731,c_202,c_51842]) ).
tff(c_51874,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51822,c_51843,c_51764,c_260]) ).
tff(c_51875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_51731,c_202,c_51874]) ).
tff(c_51877,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_51820]) ).
tff(c_51907,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51877,c_51877,c_51764,c_228]) ).
tff(c_51908,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_51907]) ).
tff(c_51996,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51908,c_51908,c_51764,c_284]) ).
tff(c_51997,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51715,c_196,c_204,c_51996]) ).
tff(c_51998,plain,
( ( op(e3,e1) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_51752]) ).
tff(c_52000,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_51998]) ).
tff(c_52003,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52000,c_158]) ).
tff(c_52214,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_52003,c_234]) ).
tff(c_52215,plain,
op(e3,e3) != e0,
inference(splitLeft,[status(thm)],[c_52214]) ).
tff(c_52011,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_51730,c_32]) ).
tff(c_52012,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_52011]) ).
tff(c_52016,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52012,c_142]) ).
tff(c_52015,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52012,c_188]) ).
tff(c_52022,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_52023,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_52022]) ).
tff(c_52105,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52023,c_52012,c_268]) ).
tff(c_52106,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_51731,c_202,c_52105]) ).
tff(c_52118,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_52106,c_52000,c_62]) ).
tff(c_52119,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52016,c_204,c_202,c_200,c_52118]) ).
tff(c_52120,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_52022]) ).
tff(c_52122,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_52120]) ).
tff(c_52158,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52000,c_52122,c_48]) ).
tff(c_52159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52015,c_44625,c_200,c_202,c_52158]) ).
tff(c_52160,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_52120]) ).
tff(c_52185,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52160,c_52012,c_268]) ).
tff(c_52186,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_51731,c_202,c_52185]) ).
tff(c_52200,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_52186,c_52000,c_62]) ).
tff(c_52201,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52016,c_204,c_202,c_200,c_52200]) ).
tff(c_52202,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_52011]) ).
tff(c_52218,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52202,c_332]) ).
tff(c_52219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52215,c_44628,c_44626,c_200,c_52218]) ).
tff(c_52220,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_52214]) ).
tff(c_52252,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52220,c_52220,c_52202,c_284]) ).
tff(c_52253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51715,c_196,c_52252]) ).
tff(c_52254,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_51998]) ).
tff(c_52258,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52254,c_172]) ).
tff(c_52266,plain,
( ( op(e0,e0) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_52258,c_236]) ).
tff(c_52267,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_52266]) ).
tff(c_51999,plain,
op(e3,e0) != e3,
inference(splitRight,[status(thm)],[c_51752]) ).
tff(c_51729,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_186]) ).
tff(c_51737,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38013,c_51729,c_16]) ).
tff(c_51738,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_51737]) ).
tff(c_52279,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_51738,c_82]) ).
tff(c_52280,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_51999,c_52279]) ).
tff(c_52299,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52267,c_52280,c_268]) ).
tff(c_52300,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_51731,c_194,c_52299]) ).
tff(c_52306,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52300,c_146]) ).
tff(c_52387,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51738,c_44623,c_52267,c_56]) ).
tff(c_52388,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_52306,c_52387]) ).
tff(c_52389,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_52266]) ).
tff(c_52394,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52389,c_142]) ).
tff(c_52390,plain,
op(e2,e2) != e3,
inference(splitRight,[status(thm)],[c_52266]) ).
tff(c_52402,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_52403,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_52402]) ).
tff(c_52407,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52403,c_98]) ).
tff(c_51716,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_160]) ).
tff(c_52255,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_51998]) ).
tff(c_52414,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_52407,c_51716,c_52255,c_4]) ).
tff(c_52419,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52414,c_158]) ).
tff(c_52435,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52403,c_52389,c_268]) ).
tff(c_52436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_52419,c_51731,c_194,c_52435]) ).
tff(c_52437,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_52402]) ).
tff(c_52441,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_52437]) ).
tff(c_52444,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52441,c_152]) ).
tff(c_52466,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_62]) ).
tff(c_52467,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_52466]) ).
tff(c_52468,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_52467]) ).
tff(c_52526,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52389,c_28538,c_52468,c_88]) ).
tff(c_52527,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_52444,c_52526]) ).
tff(c_52528,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_52467]) ).
tff(c_52559,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_52528,c_50]) ).
tff(c_52560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52394,c_196,c_52390,c_200,c_52559]) ).
tff(c_52561,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_52437]) ).
tff(c_52581,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52561,c_52389,c_268]) ).
tff(c_52582,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_51731,c_194,c_52581]) ).
tff(c_52587,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52582,c_158]) ).
tff(c_52596,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52254,c_52561,c_40]) ).
tff(c_52597,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51728,c_194,c_52587,c_198,c_52596]) ).
tff(c_52598,plain,
op(e2,e0) = e3,
inference(splitRight,[status(thm)],[c_51737]) ).
tff(c_52605,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52598,c_118]) ).
tff(c_52762,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_52763,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_52762]) ).
tff(c_52778,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_66]) ).
tff(c_52779,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_52778]) ).
tff(c_52780,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_52779]) ).
tff(c_52811,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52763,c_52780,c_268]) ).
tff(c_52812,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_51730,c_52811]) ).
tff(c_52816,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52812,c_166]) ).
tff(c_52612,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_52613,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_52612]) ).
tff(c_52618,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_52613,c_156]) ).
tff(c_51732,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_128]) ).
tff(c_52730,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_51731,c_22]) ).
tff(c_52735,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52730,c_124]) ).
tff(c_52747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_52618,c_51717,c_51732,c_52735,c_18]) ).
tff(c_52748,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_52612]) ).
tff(c_52750,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_52748]) ).
tff(c_52837,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_52750,c_88]) ).
tff(c_52838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51730,c_198,c_52816,c_194,c_52837]) ).
tff(c_52840,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_52779]) ).
tff(c_52851,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52763,c_52763,c_234]) ).
tff(c_52852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_52605,c_52840,c_52851]) ).
tff(c_52853,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_52762]) ).
tff(c_52855,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_52853]) ).
tff(c_52859,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_52855,c_100]) ).
tff(c_52871,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_66]) ).
tff(c_52872,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_52871]) ).
tff(c_52873,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_52872]) ).
tff(c_52990,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_52873,c_44623,c_70]) ).
tff(c_52991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_52859,c_52990]) ).
tff(c_52993,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_52872]) ).
tff(c_52603,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_52598,c_190]) ).
tff(c_53020,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_52855,c_52855,c_228]) ).
tff(c_53021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_52993,c_52603,c_53020]) ).
tff(c_53022,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_52853]) ).
tff(c_53054,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53022,c_40]) ).
tff(c_53055,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_51728,c_198,c_53054]) ).
tff(c_53056,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_53055]) ).
tff(c_53060,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53056,c_102]) ).
tff(c_53084,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_54]) ).
tff(c_53085,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_53060,c_53084]) ).
tff(c_53086,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_53085]) ).
tff(c_53090,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53086,c_166]) ).
tff(c_53040,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_66]) ).
tff(c_53041,plain,
( ( op(e3,e1) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_53040]) ).
tff(c_53042,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_53041]) ).
tff(c_53107,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53022,c_53042,c_268]) ).
tff(c_53108,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_53090,c_194,c_51730,c_53107]) ).
tff(c_53110,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_53085]) ).
tff(c_53141,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_52750,c_88]) ).
tff(c_53142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51730,c_198,c_53110,c_194,c_53141]) ).
tff(c_53143,plain,
op(e3,e1) = e3,
inference(splitRight,[status(thm)],[c_53041]) ).
tff(c_53154,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( e3 = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53143,c_53022,c_40]) ).
tff(c_53155,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_51728,c_194,c_198,c_53154]) ).
tff(c_53167,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53143,c_53155,c_53022,c_48]) ).
tff(c_53168,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_53167]) ).
tff(c_53179,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51726,c_52598,c_53168,c_90]) ).
tff(c_53180,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_198,c_196,c_204,c_53179]) ).
tff(c_53181,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_52748]) ).
tff(c_53186,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53181,c_152]) ).
tff(c_53195,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_53186,c_51731,c_51730,c_268]) ).
tff(c_53243,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53195,c_234]) ).
tff(c_53244,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_53243]) ).
tff(c_53245,plain,
op(e3,e3) != e0,
inference(splitLeft,[status(thm)],[c_53244]) ).
tff(c_53246,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_51730,c_52603,c_32]) ).
tff(c_53280,plain,
( ( op(e3,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53246,c_51726,c_52598,c_90]) ).
tff(c_53281,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_53280]) ).
tff(c_53286,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53281,c_104]) ).
tff(c_53309,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53245,c_53286,c_53186,c_381,c_2]) ).
tff(c_53311,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_53244]) ).
tff(c_53325,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53311,c_98]) ).
tff(c_53189,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53181,c_134]) ).
tff(c_53206,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28543,c_53189,c_28]) ).
tff(c_53207,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_53206]) ).
tff(c_53211,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53207,c_142]) ).
tff(c_53231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53211,c_14800,c_51730,c_52603,c_32]) ).
tff(c_53232,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_53206]) ).
tff(c_53383,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53232,c_51711,c_53195,c_62]) ).
tff(c_53384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_53325,c_53383]) ).
tff(c_53385,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_51725]) ).
tff(c_53387,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_53385]) ).
tff(c_53389,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53387,c_148]) ).
tff(c_53417,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_53389,c_381,c_2]) ).
tff(c_53418,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_53417]) ).
tff(c_53424,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_104]) ).
tff(c_53402,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44623,c_60]) ).
tff(c_53403,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_51715,c_53402]) ).
tff(c_53404,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_53403]) ).
tff(c_53406,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_53404,c_182]) ).
tff(c_53423,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_98]) ).
tff(c_53638,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53423,c_51716,c_4]) ).
tff(c_53639,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_53638]) ).
tff(c_53644,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53639,c_102]) ).
tff(c_53392,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53387,c_124]) ).
tff(c_53433,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_53418,c_234]) ).
tff(c_53434,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_53433]) ).
tff(c_53435,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_53434]) ).
tff(c_53445,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_53446,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_53445]) ).
tff(c_53477,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_53435,c_53446,c_268]) ).
tff(c_53478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_53392,c_202,c_53477]) ).
tff(c_53479,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_53445]) ).
tff(c_53481,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_53479]) ).
tff(c_53561,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_53435,c_53481,c_268]) ).
tff(c_53562,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_53392,c_194,c_53561]) ).
tff(c_53563,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_53479]) ).
tff(c_53568,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53563,c_188]) ).
tff(c_53576,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_40]) ).
tff(c_53577,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_53568,c_202,c_53576]) ).
tff(c_53578,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_53577]) ).
tff(c_53582,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53578,c_102]) ).
tff(c_53439,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53435,c_158]) ).
tff(c_53591,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53423,c_51716,c_53582,c_53439,c_4]) ).
tff(c_53593,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_53577]) ).
tff(c_53625,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_70]) ).
tff(c_53626,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_53392,c_202,c_53593,c_53625]) ).
tff(c_53627,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_53434]) ).
tff(c_53684,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_53627,c_44623,c_70]) ).
tff(c_53685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_53644,c_53684]) ).
tff(c_53686,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_53638]) ).
tff(c_53705,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_53686,c_54]) ).
tff(c_53706,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_53705]) ).
tff(c_53707,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_53706]) ).
tff(c_53710,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53707,c_166]) ).
tff(c_53711,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53707,c_142]) ).
tff(c_53721,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_53627,c_268]) ).
tff(c_53722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_53710,c_194,c_53711,c_53721]) ).
tff(c_53723,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_53706]) ).
tff(c_53750,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53418,c_53723,c_53627,c_260]) ).
tff(c_53751,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_53750]) ).
tff(c_53754,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53751,c_188]) ).
tff(c_53693,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53686,c_106]) ).
tff(c_53762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53424,c_53406,c_53754,c_53693,c_8]) ).
tff(c_53763,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_53417]) ).
tff(c_54129,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_53392,c_22]) ).
tff(c_53777,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53763,c_236]) ).
tff(c_53778,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_53777]) ).
tff(c_53779,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_53778]) ).
tff(c_53916,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53763,c_53779,c_268]) ).
tff(c_53917,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_53392,c_53916]) ).
tff(c_53921,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53917,c_142]) ).
tff(c_53789,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53404,c_82]) ).
tff(c_53790,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_53789]) ).
tff(c_53791,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_53790]) ).
tff(c_53794,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53791,c_192]) ).
tff(c_53801,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_53387,c_68]) ).
tff(c_53802,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_53794,c_196,c_194,c_53801]) ).
tff(c_53821,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53763,c_53779,c_53802,c_53791,c_268]) ).
tff(c_53822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_194,c_194,c_53821]) ).
tff(c_53823,plain,
( ( op(e1,e0) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_53790]) ).
tff(c_53825,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_53823]) ).
tff(c_53835,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_53779,c_62]) ).
tff(c_53836,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_53835]) ).
tff(c_53837,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_53836]) ).
tff(c_53840,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_53837,c_164]) ).
tff(c_53847,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53825,c_53763,c_40]) ).
tff(c_53848,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_53847]) ).
tff(c_53849,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_53848]) ).
tff(c_53869,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53825,c_53849,c_53763,c_48]) ).
tff(c_53870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_53840,c_204,c_53869]) ).
tff(c_53871,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_53848]) ).
tff(c_53886,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53825,c_53871,c_53763,c_48]) ).
tff(c_53887,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_44625,c_202,c_204,c_53886]) ).
tff(c_53888,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_53836]) ).
tff(c_53935,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_53779,c_53888,c_54]) ).
tff(c_53936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_53921,c_198,c_194,c_202,c_53935]) ).
tff(c_53937,plain,
op(e1,e0) = e3,
inference(splitRight,[status(thm)],[c_53823]) ).
tff(c_53943,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_53937,c_132]) ).
tff(c_54025,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_66]) ).
tff(c_54026,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_53943,c_200,c_54025]) ).
tff(c_54041,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_54026,c_70]) ).
tff(c_54042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_53392,c_202,c_194,c_54041]) ).
tff(c_54043,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_53778]) ).
tff(c_54045,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_54043]) ).
tff(c_54160,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53763,c_54129,c_54045,c_268]) ).
tff(c_54161,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_194,c_54160]) ).
tff(c_54172,plain,
( ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53763,c_54161,c_54129,c_54045,c_260]) ).
tff(c_54173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_54172]) ).
tff(c_54174,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_54043]) ).
tff(c_54175,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_54043]) ).
tff(c_54185,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53404,c_82]) ).
tff(c_54186,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_54175,c_196,c_54185]) ).
tff(c_54187,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_54186]) ).
tff(c_54180,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54174,c_132]) ).
tff(c_54197,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54187,c_54180]) ).
tff(c_54198,plain,
op(e3,e0) = e3,
inference(splitRight,[status(thm)],[c_54186]) ).
tff(c_54211,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54198,c_53763,c_48]) ).
tff(c_54212,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_44625,c_204,c_54211]) ).
tff(c_54226,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_54212,c_54]) ).
tff(c_54227,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_54226]) ).
tff(c_54228,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_54227]) ).
tff(c_54231,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54228,c_166]) ).
tff(c_54232,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54228,c_142]) ).
tff(c_54251,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_53763,c_54174,c_268]) ).
tff(c_54252,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_54231,c_194,c_54232,c_54251]) ).
tff(c_54253,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_54227]) ).
tff(c_54254,plain,
op(e0,e2) != e2,
inference(splitRight,[status(thm)],[c_54227]) ).
tff(c_53390,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_53387,c_156]) ).
tff(c_54284,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_88]) ).
tff(c_54285,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_54254,c_53390,c_54284]) ).
tff(c_54341,plain,
( ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54174,c_54253,c_54174,c_54285,c_284]) ).
tff(c_54342,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_54341]) ).
tff(c_54344,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_53403]) ).
tff(c_54355,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_54356,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_54355]) ).
tff(c_54425,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54356,c_284]) ).
tff(c_54426,plain,
op(e1,e1) != e3,
inference(negUnitSimplification,[status(thm)],[c_51715,c_28541,c_204,c_54425]) ).
tff(c_54468,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_53392,c_54426,c_22]) ).
tff(c_54469,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_54355]) ).
tff(c_54471,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_54469]) ).
tff(c_54484,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54471,c_332]) ).
tff(c_54485,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_44628,c_44626,c_200,c_54484]) ).
tff(c_54616,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_53392,c_22]) ).
tff(c_54625,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( op(e2,e2) != e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54485,c_54616,c_54471,c_260]) ).
tff(c_54626,plain,
op(e2,e2) != e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_194,c_54625]) ).
tff(c_54654,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54485,c_54616,c_54471,c_268]) ).
tff(c_54655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_54626,c_194,c_194,c_54654]) ).
tff(c_54656,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_54469]) ).
tff(c_54662,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54656,c_190]) ).
tff(c_54672,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_53387,c_68]) ).
tff(c_54673,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_54672]) ).
tff(c_54674,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_54673]) ).
tff(c_54678,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_54674,c_186]) ).
tff(c_54688,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_38013,c_54344,c_54662,c_54678,c_16]) ).
tff(c_54689,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_54673]) ).
tff(c_54805,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e2,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54689,c_54689,c_54656,c_284]) ).
tff(c_54806,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_51715,c_196,c_198,c_54805]) ).
tff(c_54807,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_53385]) ).
tff(c_54813,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_124]) ).
tff(c_55014,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_54854,c_51717,c_54813,c_18]) ).
tff(c_55018,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55014,c_156]) ).
tff(c_54837,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_62]) ).
tff(c_54838,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_54837]) ).
tff(c_54839,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_54838]) ).
tff(c_55000,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_54839,c_88]) ).
tff(c_55001,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_55000]) ).
tff(c_55002,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_55001]) ).
tff(c_55035,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55002,c_28538,c_54839,c_84]) ).
tff(c_55036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_200,c_55018,c_55035]) ).
tff(c_55037,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_55001]) ).
tff(c_55041,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55037,c_154]) ).
tff(c_55053,plain,
op(e1,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_54854,c_51717,c_54813,c_18]) ).
tff(c_55057,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55053,c_150]) ).
tff(c_55094,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44622,c_54829,c_55041,c_55057,c_10]) ).
tff(c_55095,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_54849]) ).
tff(c_55171,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_54839,c_84]) ).
tff(c_55172,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_55171]) ).
tff(c_55173,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_55172]) ).
tff(c_54841,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_54839,c_164]) ).
tff(c_54811,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_172]) ).
tff(c_55121,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55095,c_40]) ).
tff(c_55122,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_54811,c_198,c_55121]) ).
tff(c_55123,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_55122]) ).
tff(c_55137,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55123,c_55095,c_48]) ).
tff(c_55138,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_44625,c_54841,c_204,c_55137]) ).
tff(c_55139,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_55122]) ).
tff(c_55152,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55139,c_55095,c_48]) ).
tff(c_55153,plain,
op(e3,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_44625,c_202,c_204,c_55152]) ).
tff(c_55157,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55153,c_184]) ).
tff(c_53386,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_51725]) ).
tff(c_55174,plain,
op(e1,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_55157,c_51719,c_53386,c_24]) ).
tff(c_55178,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55174,c_192]) ).
tff(c_55192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_55173,c_55178]) ).
tff(c_55193,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_55172]) ).
tff(c_55234,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_54839,c_55193,c_88]) ).
tff(c_55235,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_55234]) ).
tff(c_55347,plain,
( ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55095,c_55235,c_54807,c_55235,c_324]) ).
tff(c_55348,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_55347]) ).
tff(c_55349,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_54838]) ).
tff(c_55355,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55349,c_98]) ).
tff(c_55739,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55355,c_54836,c_381,c_2]) ).
tff(c_55478,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_55355,c_54836,c_381,c_2]) ).
tff(c_55416,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_332]) ).
tff(c_55417,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_55355,c_44628,c_202,c_55416]) ).
tff(c_55402,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_55349,c_54]) ).
tff(c_55403,plain,
( ( op(e2,e2) = e2 )
| ( op(e0,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_55402]) ).
tff(c_55404,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_55403]) ).
tff(c_55426,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55417,c_28538,c_55404,c_84]) ).
tff(c_55427,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_55426]) ).
tff(c_55431,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55427,c_154]) ).
tff(c_55453,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54824,c_44623,c_52]) ).
tff(c_55454,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_55431,c_55453]) ).
tff(c_55564,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55478,c_55454,c_54807,c_55417,c_330]) ).
tff(c_55565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_55564]) ).
tff(c_55566,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_55403]) ).
tff(c_55371,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55349,c_40]) ).
tff(c_55372,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54811,c_202,c_54836,c_55371]) ).
tff(c_55375,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_55372,c_188]) ).
tff(c_55581,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_84]) ).
tff(c_55582,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_55581]) ).
tff(c_55583,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_55582]) ).
tff(c_55586,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55583,c_192]) ).
tff(c_55389,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_51717,c_54813,c_18]) ).
tff(c_55390,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_55389]) ).
tff(c_55641,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_51711,c_55390,c_68]) ).
tff(c_55642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_55586,c_194,c_196,c_200,c_55641]) ).
tff(c_55644,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_55582]) ).
tff(c_55750,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_55375,c_55644,c_32]) ).
tff(c_55782,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55739,c_55566,c_55739,c_55750,c_232]) ).
tff(c_55783,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_55782]) ).
tff(c_55784,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_55389]) ).
tff(c_55797,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55784,c_42]) ).
tff(c_55798,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_54829,c_55797]) ).
tff(c_55790,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55784,c_150]) ).
tff(c_55847,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54824,c_44623,c_52]) ).
tff(c_55848,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_55790,c_55847]) ).
tff(c_55791,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_55784,c_128]) ).
tff(c_55825,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_51719,c_53386,c_55791,c_24]) ).
tff(c_55829,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_55825,c_192]) ).
tff(c_55887,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_55829,c_14800,c_55375,c_32]) ).
tff(c_55896,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55798,c_55848,c_54807,c_55887,c_332]) ).
tff(c_55897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_200,c_55896]) ).
tff(c_55899,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_54835]) ).
tff(c_55988,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55899,c_55899,c_54807,c_228]) ).
tff(c_55989,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_55988]) ).
tff(c_55999,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_55899,c_54807,c_55989,c_332]) ).
tff(c_56000,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_44628,c_202,c_200,c_55999]) ).
tff(c_56002,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_54823]) ).
tff(c_56327,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_228]) ).
tff(c_56328,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_56327]) ).
tff(c_56329,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_56328]) ).
tff(c_56014,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_51711,c_62]) ).
tff(c_56015,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_56014]) ).
tff(c_56016,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_56015]) ).
tff(c_56021,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_56016,c_134]) ).
tff(c_56026,plain,
( ( op(e3,e3) != e0 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_54807,c_234]) ).
tff(c_56027,plain,
( ( op(e3,e3) != e0 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_56026]) ).
tff(c_56028,plain,
op(e3,e3) != e0,
inference(splitLeft,[status(thm)],[c_56027]) ).
tff(c_56001,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_54823]) ).
tff(c_56005,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56001,c_146]) ).
tff(c_56029,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_56028,c_56005,c_381,c_2]) ).
tff(c_56033,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56029,c_152]) ).
tff(c_56043,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56029,c_56029,c_54807,c_228]) ).
tff(c_56044,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_56043]) ).
tff(c_56050,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56044,c_140]) ).
tff(c_56112,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56021,c_28537,c_56033,c_56050,c_26]) ).
tff(c_56114,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_56027]) ).
tff(c_56113,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_56027]) ).
tff(c_56180,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_56016,c_88]) ).
tff(c_56181,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_56180]) ).
tff(c_56182,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_56181]) ).
tff(c_56213,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56114,c_56113,c_54807,c_56182,c_300]) ).
tff(c_56214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_198,c_56213]) ).
tff(c_56215,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_56181]) ).
tff(c_56248,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_56016,c_56215,c_84]) ).
tff(c_56249,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_56248]) ).
tff(c_56310,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56114,c_56113,c_54807,c_56249,c_300]) ).
tff(c_56311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_196,c_56310]) ).
tff(c_56312,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_56015]) ).
tff(c_56330,plain,
( ( op(e3,e3) = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56312,c_40]) ).
tff(c_56331,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_54811,c_202,c_56329,c_56330]) ).
tff(c_56362,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56331,c_90]) ).
tff(c_56363,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_51719,c_56002,c_198,c_56362]) ).
tff(c_56364,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_56328]) ).
tff(c_56494,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56364,c_54807,c_56364,c_316]) ).
tff(c_56495,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44628,c_202,c_200,c_56494]) ).
tff(c_56496,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_51709]) ).
tff(c_56501,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_162]) ).
tff(c_56530,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_50]) ).
tff(c_56531,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_56530]) ).
tff(c_56532,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_56531]) ).
tff(c_56536,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56532,c_166]) ).
tff(c_56514,plain,
( ( op(e2,e0) = e3 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38013,c_16]) ).
tff(c_56515,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_56514]) ).
tff(c_56521,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56515,c_118]) ).
tff(c_56543,plain,
op(e1,e1) != e3,
inference(negUnitSimplification,[status(thm)],[c_56521,c_28541,c_14800,c_284]) ).
tff(c_56537,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56532,c_142]) ).
tff(c_56546,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_56536,c_56543,c_56537,c_236]) ).
tff(c_56547,plain,
( ( op(e2,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_56531]) ).
tff(c_56549,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_56547]) ).
tff(c_56552,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_56549,c_158]) ).
tff(c_56699,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56515,c_44623,c_56]) ).
tff(c_56700,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_56501,c_56699]) ).
tff(c_56840,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56515,c_44623,c_56700,c_52]) ).
tff(c_56841,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_56552,c_194,c_56840]) ).
tff(c_56842,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_56547]) ).
tff(c_56502,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_160]) ).
tff(c_56520,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56515,c_116]) ).
tff(c_56854,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_56520,c_42]) ).
tff(c_56855,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_56854]) ).
tff(c_56857,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56855,c_148]) ).
tff(c_56956,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56842,c_300]) ).
tff(c_56957,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_56857,c_196,c_28541,c_14800,c_56956]) ).
tff(c_56958,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_56854]) ).
tff(c_56988,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56958,c_40]) ).
tff(c_56989,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_56502,c_198,c_56988]) ).
tff(c_56990,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_56989]) ).
tff(c_57004,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56990,c_56958,c_48]) ).
tff(c_57005,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_44625,c_204,c_57004]) ).
tff(c_57009,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57005,c_164]) ).
tff(c_56500,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_168]) ).
tff(c_56548,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_56531]) ).
tff(c_57075,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57009,c_28543,c_56500,c_56548,c_28]) ).
tff(c_57076,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_56989]) ).
tff(c_57089,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57076,c_56958,c_48]) ).
tff(c_57090,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_57089]) ).
tff(c_57091,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_57090]) ).
tff(c_57095,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57091,c_184]) ).
tff(c_56518,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_56515,c_186]) ).
tff(c_56505,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_130]) ).
tff(c_57219,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_57076,c_66]) ).
tff(c_57220,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_57219]) ).
tff(c_57224,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57220,c_132]) ).
tff(c_57229,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57095,c_56518,c_56505,c_57224,c_24]) ).
tff(c_57230,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_57090]) ).
tff(c_57382,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_56842,c_57230,c_58]) ).
tff(c_57383,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28543,c_198,c_196,c_204,c_57382]) ).
tff(c_57384,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_56514]) ).
tff(c_57386,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_57384]) ).
tff(c_57403,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44622,c_46]) ).
tff(c_57404,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_57403]) ).
tff(c_57407,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57404,c_152]) ).
tff(c_57409,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57404,c_140]) ).
tff(c_57501,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57407,c_44628,c_44626,c_57409,c_332]) ).
tff(c_57502,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_57403]) ).
tff(c_57504,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_57502]) ).
tff(c_57507,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_57504,c_148]) ).
tff(c_57516,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57504,c_42]) ).
tff(c_57517,plain,
( ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_204,c_57516]) ).
tff(c_57518,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_57517]) ).
tff(c_57522,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_57518,c_150]) ).
tff(c_57535,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57386,c_44623,c_60]) ).
tff(c_57536,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_57522,c_57535]) ).
tff(c_57565,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57504,c_57536,c_57504,c_234]) ).
tff(c_57566,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_57565]) ).
tff(c_57669,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_57566,c_44623,c_70]) ).
tff(c_57670,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_57669]) ).
tff(c_358,plain,
( ( op(e1,e1) != e3 )
| ( op(op(e1,e1),op(e1,e1)) != e0 )
| ( op(op(e1,e1),e1) != e2 ) ),
inference(cnfTransformation,[status(thm)],[f_724]) ).
tff(c_57887,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_57670,c_57566,c_57504,c_57566,c_57566,c_57566,c_358]) ).
tff(c_57889,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_57517]) ).
tff(c_56503,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_122]) ).
tff(c_57393,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57386,c_118]) ).
tff(c_57900,plain,
( ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57504,c_57504,c_234]) ).
tff(c_57901,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_57393,c_57900]) ).
tff(c_57907,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57901,c_124]) ).
tff(c_57945,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57507,c_57889,c_56503,c_57907,c_18]) ).
tff(c_57946,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_57502]) ).
tff(c_57969,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57946,c_42]) ).
tff(c_57970,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_204,c_57969]) ).
tff(c_57971,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_57970]) ).
tff(c_57991,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57386,c_44623,c_57971,c_56]) ).
tff(c_57992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_56501,c_198,c_57991]) ).
tff(c_57993,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_57970]) ).
tff(c_57391,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_57386,c_190]) ).
tff(c_57958,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_381,c_57393,c_57391,c_236]) ).
tff(c_58067,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57993,c_57958,c_268]) ).
tff(c_58068,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_56501,c_194,c_58067]) ).
tff(c_58112,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_57993,c_57958,c_58068,c_332]) ).
tff(c_58113,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_44628,c_200,c_202,c_58112]) ).
tff(c_58114,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_57384]) ).
tff(c_58120,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58114,c_190]) ).
tff(c_58130,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_58131,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_58130]) ).
tff(c_58136,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_58131,c_140]) ).
tff(c_58142,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_58136,c_14800,c_58120,c_32]) ).
tff(c_58216,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58142,c_28538,c_58131,c_88]) ).
tff(c_58217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_56500,c_202,c_58216]) ).
tff(c_58218,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_58130]) ).
tff(c_58220,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_58218]) ).
tff(c_58226,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_58220,c_140]) ).
tff(c_58409,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_58120,c_58226,c_32]) ).
tff(c_58440,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58409,c_28538,c_58220,c_88]) ).
tff(c_58441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_56500,c_194,c_58440]) ).
tff(c_58442,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_58218]) ).
tff(c_58447,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58442,c_152]) ).
tff(c_58456,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_58447,c_381,c_2]) ).
tff(c_58457,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_58456]) ).
tff(c_58469,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58457,c_236]) ).
tff(c_58470,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_58469]) ).
tff(c_58471,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_58470]) ).
tff(c_58592,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58457,c_58471,c_300]) ).
tff(c_58593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_28541,c_14800,c_58592]) ).
tff(c_58594,plain,
( ( op(e1,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_58470]) ).
tff(c_58596,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_58594]) ).
tff(c_56504,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_56496,c_126]) ).
tff(c_58689,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_44626,c_28541,c_56504,c_22]) ).
tff(c_58702,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58457,c_58689,c_58596,c_300]) ).
tff(c_58703,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_196,c_58702]) ).
tff(c_58820,plain,
( ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58596,c_58703,c_58689,c_58596,c_316]) ).
tff(c_58821,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_58820]) ).
tff(c_58822,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_58594]) ).
tff(c_58953,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58457,c_58822,c_300]) ).
tff(c_58954,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_14800,c_58953]) ).
tff(c_59022,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58457,c_58954,c_58954,c_264]) ).
tff(c_59023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_58120,c_59022]) ).
tff(c_59024,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_58456]) ).
tff(c_59032,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59024,c_146]) ).
tff(c_59317,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58114,c_44623,c_60]) ).
tff(c_59318,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_59032,c_59317]) ).
tff(c_59373,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59024,c_59318,c_330]) ).
tff(c_59374,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_204,c_44626,c_59373]) ).
tff(c_59063,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58114,c_44623,c_60]) ).
tff(c_59064,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_59032,c_59063]) ).
tff(c_59078,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59024,c_48]) ).
tff(c_59079,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44625,c_204,c_59078]) ).
tff(c_59080,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_59079]) ).
tff(c_59120,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59080,c_59024,c_40]) ).
tff(c_59121,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_56502,c_198,c_59120]) ).
tff(c_59131,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_44623,c_59121,c_66]) ).
tff(c_59132,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_59131]) ).
tff(c_59037,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58114,c_82]) ).
tff(c_59038,plain,
( ( op(e3,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_59037]) ).
tff(c_59039,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_59038]) ).
tff(c_59149,plain,
( ( e3 = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59024,c_59064,c_59132,c_59039,c_268]) ).
tff(c_59150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_194,c_194,c_59149]) ).
tff(c_59152,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_59079]) ).
tff(c_59031,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_59024,c_104]) ).
tff(c_58118,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_58114,c_182]) ).
tff(c_59042,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59039,c_188]) ).
tff(c_59259,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59152,c_59031,c_58118,c_59042,c_8]) ).
tff(c_59261,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_59038]) ).
tff(c_59434,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59374,c_14800,c_58120,c_59261,c_32]) ).
tff(c_59435,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_44621]) ).
tff(c_59438,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_158]) ).
tff(c_59437,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_166]) ).
tff(c_62234,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_42]) ).
tff(c_62235,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_62234]) ).
tff(c_62236,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_62235,c_148]) ).
tff(c_62246,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62235,c_72]) ).
tff(c_62247,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_62246]) ).
tff(c_62248,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_62247]) ).
tff(c_62251,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62248,c_186]) ).
tff(c_62253,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62248,c_132]) ).
tff(c_62252,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62248,c_192]) ).
tff(c_62716,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_268]) ).
tff(c_62717,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_62253,c_62252,c_62716]) ).
tff(c_62723,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62717,c_146]) ).
tff(c_62250,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62248,c_184]) ).
tff(c_59436,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_44621]) ).
tff(c_62259,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_14]) ).
tff(c_62260,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_62259]) ).
tff(c_62263,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62260,c_170]) ).
tff(c_61278,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_61279,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_61278]) ).
tff(c_61284,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61279,c_148]) ).
tff(c_59447,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e0 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_50]) ).
tff(c_59448,plain,
( ( op(e3,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_59447]) ).
tff(c_59449,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_59448]) ).
tff(c_59454,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59449,c_142]) ).
tff(c_60204,plain,
( ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_59454,c_224]) ).
tff(c_60205,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_60204]) ).
tff(c_60212,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_60205,c_381,c_2]) ).
tff(c_60213,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_60212]) ).
tff(c_59460,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_59465,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59460,c_130]) ).
tff(c_59521,plain,
( ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_59454,c_228]) ).
tff(c_59522,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_59521]) ).
tff(c_59464,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59460,c_132]) ).
tff(c_59524,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_59435,c_266]) ).
tff(c_59525,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59522,c_202,c_59464,c_59524]) ).
tff(c_59527,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_59521]) ).
tff(c_59532,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59527,c_98]) ).
tff(c_59560,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59449,c_59435,c_54]) ).
tff(c_59561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_59465,c_202,c_59532,c_59560]) ).
tff(c_59562,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_59564,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_59562]) ).
tff(c_59569,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59564,c_124]) ).
tff(c_59565,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_59564,c_148]) ).
tff(c_59599,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_59565,c_381,c_2]) ).
tff(c_59600,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_59599]) ).
tff(c_59612,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59600,c_59435,c_59600,c_234]) ).
tff(c_59613,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_59612]) ).
tff(c_59641,plain,
( ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59600,c_59435,c_59613,c_59435,c_266]) ).
tff(c_59642,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_59641]) ).
tff(c_59643,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_59599]) ).
tff(c_59774,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59643,c_59435,c_59435,c_266]) ).
tff(c_59775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_59569,c_59774]) ).
tff(c_59776,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_59562]) ).
tff(c_59779,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_59776]) ).
tff(c_60250,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60213,c_59779,c_59779,c_292]) ).
tff(c_60251,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_60250]) ).
tff(c_60252,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_60212]) ).
tff(c_60397,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60252,c_59435,c_59779,c_236]) ).
tff(c_60398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_59454,c_60397]) ).
tff(c_60400,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_60204]) ).
tff(c_60460,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60400,c_60400,c_59779,c_228]) ).
tff(c_60461,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_59454,c_60460]) ).
tff(c_60462,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_59776]) ).
tff(c_61335,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60462,c_80]) ).
tff(c_61336,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_61284,c_61335]) ).
tff(c_61337,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_61336]) ).
tff(c_61342,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61337,c_132]) ).
tff(c_60463,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_59776]) ).
tff(c_60464,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_14]) ).
tff(c_60465,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_60464]) ).
tff(c_60469,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60465,c_174]) ).
tff(c_60486,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_60487,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_60486]) ).
tff(c_60501,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60487,c_59435,c_60487,c_234]) ).
tff(c_60502,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_60501]) ).
tff(c_60543,plain,
( ( op(e0,e0) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60487,c_59435,c_60502,c_268]) ).
tff(c_60544,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_194,c_60543]) ).
tff(c_60549,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60544,c_140]) ).
tff(c_60470,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60465,c_112]) ).
tff(c_60491,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_60487,c_148]) ).
tff(c_59777,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_59562]) ).
tff(c_60507,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_60502,c_124]) ).
tff(c_60554,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_60491,c_59777,c_60507,c_18]) ).
tff(c_60573,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60554,c_60487,c_38]) ).
tff(c_60574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_60549,c_198,c_60470,c_202,c_60573]) ).
tff(c_60575,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_60486]) ).
tff(c_60577,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_60575]) ).
tff(c_60890,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_60465,c_78]) ).
tff(c_60891,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_60890]) ).
tff(c_60892,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_60891]) ).
tff(c_60580,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60577,c_152]) ).
tff(c_60921,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_88]) ).
tff(c_60922,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_60580,c_60921]) ).
tff(c_61066,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60577,c_59435,c_60892,c_60922,c_236]) ).
tff(c_61067,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_200,c_194,c_61066]) ).
tff(c_61069,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_60891]) ).
tff(c_61085,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_61069,c_28541,c_60469,c_22]) ).
tff(c_61104,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_88]) ).
tff(c_61105,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_60580,c_61104]) ).
tff(c_61208,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61085,c_59435,c_61085,c_61105,c_284]) ).
tff(c_61209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_61208]) ).
tff(c_61210,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_60575]) ).
tff(c_61247,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61210,c_59435,c_59435,c_266]) ).
tff(c_61248,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_60469,c_61247]) ).
tff(c_61249,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_60464]) ).
tff(c_61265,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61249,c_174]) ).
tff(c_61350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61342,c_28541,c_60463,c_61265,c_22]) ).
tff(c_61351,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_61336]) ).
tff(c_61352,plain,
op(e1,e0) != e0,
inference(splitRight,[status(thm)],[c_61336]) ).
tff(c_61264,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61249,c_170]) ).
tff(c_59452,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_59449,c_164]) ).
tff(c_61287,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61279,c_104]) ).
tff(c_61293,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_61287,c_8]) ).
tff(c_61294,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_61293]) ).
tff(c_61306,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e3 )
| ( op(e3,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61294,c_61279,c_36]) ).
tff(c_61307,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_61264,c_59452,c_200,c_61306]) ).
tff(c_61308,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_61293]) ).
tff(c_61310,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_61308]) ).
tff(c_61366,plain,
( ( e3 = e1 )
| ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61310,c_90]) ).
tff(c_61367,plain,
( ( op(e2,e0) = e1 )
| ( op(e1,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_61366]) ).
tff(c_61368,plain,
op(e1,e0) = e1,
inference(splitLeft,[status(thm)],[c_61367]) ).
tff(c_61267,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61249,c_120]) ).
tff(c_61364,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_38013,c_61267,c_16]) ).
tff(c_61365,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_61364]) ).
tff(c_61371,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61365,c_186]) ).
tff(c_61388,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_61368,c_61371]) ).
tff(c_61390,plain,
op(e1,e0) != e1,
inference(splitRight,[status(thm)],[c_61367]) ).
tff(c_59563,plain,
op(e1,e0) != e2,
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_61315,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_61310,c_184]) ).
tff(c_61452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61352,c_61390,c_59563,c_61315,c_24]) ).
tff(c_61453,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_61364]) ).
tff(c_61458,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61453,c_190]) ).
tff(c_61465,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_88]) ).
tff(c_61466,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_61458,c_198,c_194,c_61465]) ).
tff(c_61492,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_61466,c_96]) ).
tff(c_61493,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_61492]) ).
tff(c_61557,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61279,c_59435,c_61351,c_61493,c_268]) ).
tff(c_61558,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_202,c_202,c_61557]) ).
tff(c_61559,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_61308]) ).
tff(c_61566,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61559,c_108]) ).
tff(c_61708,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_60463,c_61265,c_22]) ).
tff(c_61744,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_61708,c_61249,c_70]) ).
tff(c_61745,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_61566,c_61744]) ).
tff(c_61746,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_61278]) ).
tff(c_61748,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_61746]) ).
tff(c_61857,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60462,c_80]) ).
tff(c_61858,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_61857]) ).
tff(c_61859,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_61858]) ).
tff(c_61863,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61859,c_132]) ).
tff(c_61901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61863,c_28541,c_60463,c_61265,c_22]) ).
tff(c_61902,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_61858]) ).
tff(c_61904,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_61902]) ).
tff(c_61908,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_61904,c_124]) ).
tff(c_61915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61908,c_28541,c_60463,c_61265,c_22]) ).
tff(c_61916,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_61902]) ).
tff(c_61761,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61748,c_322]) ).
tff(c_61762,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_61761]) ).
tff(c_61763,plain,
op(e0,e0) != e2,
inference(splitLeft,[status(thm)],[c_61762]) ).
tff(c_61751,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61748,c_152]) ).
tff(c_61834,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_88]) ).
tff(c_61835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61763,c_198,c_194,c_61751,c_61834]) ).
tff(c_61837,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_61762]) ).
tff(c_61949,plain,
( ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61748,c_61748,c_61916,c_61837,c_228]) ).
tff(c_61950,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_61949]) ).
tff(c_61951,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_61746]) ).
tff(c_61959,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_61951,c_104]) ).
tff(c_61253,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_60462,c_160]) ).
tff(c_61968,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61951,c_40]) ).
tff(c_61969,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_61253,c_198,c_61968]) ).
tff(c_61970,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_61969]) ).
tff(c_61973,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_61970,c_188]) ).
tff(c_61981,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61951,c_46]) ).
tff(c_61982,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_44622,c_204,c_61981]) ).
tff(c_61983,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_61982]) ).
tff(c_62034,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_61983,c_88]) ).
tff(c_62035,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_61973,c_198,c_194,c_202,c_62034]) ).
tff(c_62036,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_61982]) ).
tff(c_62042,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62036,c_124]) ).
tff(c_62054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62042,c_28541,c_60463,c_61265,c_22]) ).
tff(c_62056,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_61969]) ).
tff(c_62066,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_61959,c_62056,c_8]) ).
tff(c_62067,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_62066]) ).
tff(c_62074,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62067,c_184]) ).
tff(c_62082,plain,
( ( op(e1,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_60462,c_80]) ).
tff(c_62083,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_62074,c_202,c_62082]) ).
tff(c_62084,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_62083]) ).
tff(c_62117,plain,
( ( op(e0,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_59449,c_88]) ).
tff(c_62118,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_62117]) ).
tff(c_62119,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_62118]) ).
tff(c_62131,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61951,c_59435,c_62084,c_62119,c_236]) ).
tff(c_62132,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_200,c_194,c_62131]) ).
tff(c_62134,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_62118]) ).
tff(c_62144,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61951,c_59435,c_62084,c_268]) ).
tff(c_62145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_202,c_62134,c_62144]) ).
tff(c_62147,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_62083]) ).
tff(c_62055,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_61969]) ).
tff(c_62219,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_61249,c_62055,c_78]) ).
tff(c_62220,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_62147,c_200,c_202,c_62219]) ).
tff(c_62221,plain,
( ( op(e1,e2) = e3 )
| ( op(e3,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_59448]) ).
tff(c_62223,plain,
op(e3,e2) = e3,
inference(splitLeft,[status(thm)],[c_62221]) ).
tff(c_62271,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_48]) ).
tff(c_62272,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_62271]) ).
tff(c_62273,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_62272]) ).
tff(c_62319,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62273,c_62223,c_40]) ).
tff(c_62320,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_62263,c_194,c_62319]) ).
tff(c_282,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e1,e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_62366,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 )
| ( op(e1,e1) != e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_282]) ).
tff(c_62367,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_28541,c_62366]) ).
tff(c_62368,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_62367]) ).
tff(c_62227,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_102]) ).
tff(c_62369,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_62260,c_66]) ).
tff(c_62370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_62368,c_194,c_62227,c_62369]) ).
tff(c_62372,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_62367]) ).
tff(c_62277,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_62273,c_188]) ).
tff(c_62298,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_62277,c_14800,c_62252,c_32]) ).
tff(c_62393,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62320,c_59435,c_62372,c_62298,c_300]) ).
tff(c_62394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_196,c_62393]) ).
tff(c_62395,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_62272]) ).
tff(c_62397,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_62395]) ).
tff(c_62484,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_62397,c_40]) ).
tff(c_62485,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62250,c_62263,c_194,c_202,c_62484]) ).
tff(c_62486,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_62395]) ).
tff(c_62644,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62486,c_62223,c_40]) ).
tff(c_62645,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_62250,c_202,c_194,c_62644]) ).
tff(c_62684,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_62260,c_62486,c_66]) ).
tff(c_62685,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_62684]) ).
tff(c_62523,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_59435,c_266]) ).
tff(c_62524,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_62253,c_62523]) ).
tff(c_62509,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_62252,c_32]) ).
tff(c_62510,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_62509]) ).
tff(c_62545,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62524,c_62524,c_62510,c_228]) ).
tff(c_62546,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_62545]) ).
tff(c_62605,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62524,c_59435,c_62546,c_62510,c_300]) ).
tff(c_62606,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_204,c_62605]) ).
tff(c_62607,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_62509]) ).
tff(c_62700,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62645,c_59435,c_62685,c_62607,c_300]) ).
tff(c_62701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_196,c_62700]) ).
tff(c_62702,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_62259]) ).
tff(c_62754,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62702,c_59435,c_56]) ).
tff(c_62755,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62251,c_194,c_202,c_62723,c_62754]) ).
tff(c_62756,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_62247]) ).
tff(c_62761,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_62756]) ).
tff(c_62765,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_62761,c_168]) ).
tff(c_62222,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_59448]) ).
tff(c_62799,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_62765,c_62222,c_28]) ).
tff(c_62800,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_62756]) ).
tff(c_63297,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62800,c_62800,c_292]) ).
tff(c_63298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62236,c_198,c_14800,c_63297]) ).
tff(c_63299,plain,
( ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_62234]) ).
tff(c_63301,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_63299]) ).
tff(c_63302,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_63316,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63302,c_132]) ).
tff(c_63315,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63302,c_192]) ).
tff(c_63379,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63301,c_59435,c_268]) ).
tff(c_63380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_63316,c_63315,c_63379]) ).
tff(c_63381,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_63393,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_63381]) ).
tff(c_63398,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63393,c_124]) ).
tff(c_63592,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63301,c_59435,c_59435,c_266]) ).
tff(c_63593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_63398,c_63592]) ).
tff(c_63594,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_63381]) ).
tff(c_63596,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_63594]) ).
tff(c_63598,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63596,c_172]) ).
tff(c_63607,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_63301,c_48]) ).
tff(c_63608,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_63607]) ).
tff(c_63609,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_63608]) ).
tff(c_63668,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63609,c_62223,c_63301,c_40]) ).
tff(c_63669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_63598,c_194,c_198,c_63668]) ).
tff(c_63670,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_63608]) ).
tff(c_64117,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63670,c_62223,c_63301,c_40]) ).
tff(c_64118,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_64117]) ).
tff(c_64123,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64118,c_188]) ).
tff(c_62229,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_106]) ).
tff(c_63700,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_62229,c_82]) ).
tff(c_63701,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_63700]) ).
tff(c_63705,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63701,c_192]) ).
tff(c_59439,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_162]) ).
tff(c_63600,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63596,c_126]) ).
tff(c_62226,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_160]) ).
tff(c_63689,plain,
op(e1,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_59439,c_63600,c_62226,c_20]) ).
tff(c_63300,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_62234]) ).
tff(c_63595,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_63381]) ).
tff(c_63756,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_63300,c_63595,c_18]) ).
tff(c_63757,plain,
op(e1,e3) = e0,
inference(splitLeft,[status(thm)],[c_63756]) ).
tff(c_63783,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63596,c_63689,c_63757,c_68]) ).
tff(c_63784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_63705,c_194,c_196,c_200,c_63783]) ).
tff(c_63785,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_63756]) ).
tff(c_63791,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63785,c_150]) ).
tff(c_63724,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63670,c_62223,c_63301,c_40]) ).
tff(c_63725,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_63724]) ).
tff(c_63729,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_63725,c_182]) ).
tff(c_63704,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_63701,c_190]) ).
tff(c_63737,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_38013,c_63729,c_63704,c_16]) ).
tff(c_63843,plain,
( ( op(e2,e3) = e3 )
| ( e3 = e0 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63737,c_59435,c_52]) ).
tff(c_63844,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_63791,c_63843]) ).
tff(c_370,plain,
( ( op(e1,e1) != e2 )
| ( op(op(e1,e1),op(e1,e1)) != e0 )
| ( op(op(e1,e1),e1) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_760]) ).
tff(c_64055,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_63844,c_63596,c_59435,c_63596,c_63596,c_63596,c_370]) ).
tff(c_64057,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_63700]) ).
tff(c_64175,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_64123,c_64057,c_32]) ).
tff(c_64263,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_63301,c_59435,c_63596,c_64175,c_236]) ).
tff(c_64264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_200,c_64263]) ).
tff(c_64265,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_63594]) ).
tff(c_64269,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64265,c_168]) ).
tff(c_64302,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_64269,c_62222,c_28]) ).
tff(c_64303,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_63299]) ).
tff(c_64307,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_64303,c_146]) ).
tff(c_65728,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59439,c_62226,c_20]) ).
tff(c_65729,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_65728]) ).
tff(c_64315,plain,
( ( op(e3,e3) = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64303,c_46]) ).
tff(c_64316,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_64315]) ).
tff(c_64317,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_64316]) ).
tff(c_64319,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64317,c_152]) ).
tff(c_64327,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_14]) ).
tff(c_64328,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_64327]) ).
tff(c_64331,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64328,c_170]) ).
tff(c_64320,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_64317,c_156]) ).
tff(c_64332,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64328,c_174]) ).
tff(c_64343,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59439,c_62226,c_20]) ).
tff(c_64344,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_64343]) ).
tff(c_64356,plain,
( ( op(e1,e3) = e2 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64344,c_72]) ).
tff(c_64357,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_64332,c_198,c_64356]) ).
tff(c_64358,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_64357]) ).
tff(c_64364,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64358,c_128]) ).
tff(c_64369,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64358,c_82]) ).
tff(c_64370,plain,
( ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_62229,c_64369]) ).
tff(c_64371,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_64370]) ).
tff(c_64376,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64371,c_190]) ).
tff(c_64551,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64328,c_59435,c_64303,c_52]) ).
tff(c_64552,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64376,c_194,c_200,c_196,c_64551]) ).
tff(c_64554,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_64370]) ).
tff(c_64569,plain,
( ( op(e1,e1) = e3 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_64554,c_228]) ).
tff(c_64570,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_64569]) ).
tff(c_64362,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64358,c_192]) ).
tff(c_64573,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_268]) ).
tff(c_64574,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64570,c_202,c_64332,c_64362,c_64573]) ).
tff(c_64575,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_64569]) ).
tff(c_64590,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64575,c_124]) ).
tff(c_64624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64320,c_63300,c_64364,c_64590,c_18]) ).
tff(c_64625,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_64357]) ).
tff(c_64630,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64625,c_148]) ).
tff(c_64645,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_40]) ).
tff(c_64646,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_64331,c_194,c_64630,c_64645]) ).
tff(c_64670,plain,
( ( e3 = e2 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64646,c_82]) ).
tff(c_64671,plain,
( ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_64670]) ).
tff(c_64672,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_64671]) ).
tff(c_64676,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64672,c_190]) ).
tff(c_64720,plain,
( ( e3 = e1 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64328,c_59435,c_64303,c_52]) ).
tff(c_64721,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64676,c_194,c_200,c_196,c_64720]) ).
tff(c_64723,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_64671]) ).
tff(c_64736,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64344,c_59435,c_62223,c_54]) ).
tff(c_64737,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_64736]) ).
tff(c_64756,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_64737,c_64317,c_84]) ).
tff(c_64757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64723,c_196,c_194,c_200,c_64756]) ).
tff(c_64758,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_64343]) ).
tff(c_64762,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_64758,c_168]) ).
tff(c_64978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_64762,c_62222,c_28]) ).
tff(c_64979,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_64327]) ).
tff(c_64984,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64979,c_174]) ).
tff(c_64985,plain,
op(e2,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_64979,c_120]) ).
tff(c_64996,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_48]) ).
tff(c_64997,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_64319,c_64996]) ).
tff(c_64998,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_64997]) ).
tff(c_65062,plain,
( ( e3 = e0 )
| ( op(e2,e0) = e3 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_64998,c_82]) ).
tff(c_65063,plain,
( ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_64985,c_200,c_65062]) ).
tff(c_65064,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_65063]) ).
tff(c_65091,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_65064,c_268]) ).
tff(c_65092,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_65091]) ).
tff(c_65093,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_65092]) ).
tff(c_65110,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65093,c_65064,c_292]) ).
tff(c_65111,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_28541,c_196,c_65110]) ).
tff(c_65098,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65093,c_100]) ).
tff(c_65165,plain,
( ( op(e3,e1) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_64979,c_70]) ).
tff(c_65166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_65111,c_194,c_65098,c_65165]) ).
tff(c_65167,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_65092]) ).
tff(c_65192,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65167,c_65167,c_65064,c_292]) ).
tff(c_65193,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64307,c_198,c_196,c_65192]) ).
tff(c_65195,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_65063]) ).
tff(c_65219,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_64984,c_65195,c_228]) ).
tff(c_65238,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64319,c_64307,c_65219,c_381,c_2]) ).
tff(c_65239,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_64316]) ).
tff(c_65241,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_65239]) ).
tff(c_65258,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65241,c_59435,c_59435,c_266]) ).
tff(c_65259,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_65258]) ).
tff(c_65294,plain,
( ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65241,c_59435,c_65259,c_65241,c_234]) ).
tff(c_65295,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_65294]) ).
tff(c_65296,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_65239]) ).
tff(c_65741,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65729,c_65296,c_72]) ).
tff(c_65742,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_65741]) ).
tff(c_65743,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_65742]) ).
tff(c_65746,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65743,c_184]) ).
tff(c_65297,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_65239]) ).
tff(c_65308,plain,
( ( op(e3,e3) = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_62223,c_48]) ).
tff(c_65309,plain,
( ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_65297,c_65308]) ).
tff(c_65310,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_65309]) ).
tff(c_65367,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65310,c_62223,c_40]) ).
tff(c_65368,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_65367]) ).
tff(c_65369,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_65368]) ).
tff(c_65373,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65369,c_170]) ).
tff(c_65313,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65310,c_188]) ).
tff(c_65321,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_65313,c_14800,c_32]) ).
tff(c_65322,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_65321]) ).
tff(c_65327,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65322,c_142]) ).
tff(c_65333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_65327,c_62222,c_28]) ).
tff(c_65334,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_65321]) ).
tff(c_65341,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65334,c_192]) ).
tff(c_65348,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_59439,c_62226,c_20]) ).
tff(c_65349,plain,
op(e1,e2) = e1,
inference(splitLeft,[status(thm)],[c_65348]) ).
tff(c_65380,plain,
( ( e3 = e0 )
| ( e3 = e1 )
| ( op(e1,e1) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65349,c_65296,c_68]) ).
tff(c_65381,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_65341,c_196,c_200,c_65380]) ).
tff(c_65385,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_65381,c_174]) ).
tff(c_65418,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_65373,c_65385,c_14]) ).
tff(c_65419,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_65368]) ).
tff(c_65574,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65419,c_65334,c_292]) ).
tff(c_65575,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_28541,c_196,c_65574]) ).
tff(c_65302,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_65296,c_124]) ).
tff(c_65430,plain,
( ( e2 = e0 )
| ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65334,c_65310,c_86]) ).
tff(c_65431,plain,
( ( op(e2,e0) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_65430]) ).
tff(c_65432,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_65431]) ).
tff(c_65437,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65432,c_132]) ).
tff(c_65485,plain,
op(e1,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_65302,c_28541,c_65437,c_22]) ).
tff(c_65544,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65419,c_59435,c_65485,c_65334,c_300]) ).
tff(c_65545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_196,c_65544]) ).
tff(c_65546,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_65431]) ).
tff(c_65552,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65546,c_120]) ).
tff(c_65420,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_65368]) ).
tff(c_65587,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_70]) ).
tff(c_65588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_65575,c_65552,c_65420,c_65587]) ).
tff(c_65589,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_65348]) ).
tff(c_65593,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65589,c_168]) ).
tff(c_65614,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65310,c_62223,c_40]) ).
tff(c_65615,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_65614]) ).
tff(c_65616,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_65615]) ).
tff(c_65620,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65616,c_170]) ).
tff(c_65642,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_65620,c_14]) ).
tff(c_65668,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_65642,c_65616,c_78]) ).
tff(c_65669,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_65302,c_200,c_202,c_65668]) ).
tff(c_65670,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_65615]) ).
tff(c_65675,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65670,c_152]) ).
tff(c_65710,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65334,c_28538,c_88]) ).
tff(c_65711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_65593,c_65675,c_65710]) ).
tff(c_65712,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_65309]) ).
tff(c_65757,plain,
( ( op(e3,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65712,c_62223,c_40]) ).
tff(c_65758,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_65746,c_202,c_194,c_65757]) ).
tff(c_65769,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65758,c_65758,c_228]) ).
tff(c_65770,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_65769]) ).
tff(c_65771,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_65770]) ).
tff(c_65816,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65758,c_59435,c_65771,c_300]) ).
tff(c_65817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_14800,c_65816]) ).
tff(c_65818,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_65770]) ).
tff(c_65877,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65758,c_59435,c_65818,c_300]) ).
tff(c_65878,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_28541,c_196,c_65877]) ).
tff(c_65879,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_65742]) ).
tff(c_65948,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_65879,c_65879,c_292]) ).
tff(c_65949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_64307,c_198,c_14800,c_65948]) ).
tff(c_65950,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_65728]) ).
tff(c_65954,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_65950,c_168]) ).
tff(c_66020,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_65954,c_62222,c_28]) ).
tff(c_66021,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_62221]) ).
tff(c_66027,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66021,c_126]) ).
tff(c_66033,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_42]) ).
tff(c_66034,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_66033]) ).
tff(c_66036,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_148]) ).
tff(c_66816,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66036,c_381,c_2]) ).
tff(c_66817,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_66816]) ).
tff(c_66832,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66817,c_59435,c_66817,c_234]) ).
tff(c_66833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_66027,c_66832]) ).
tff(c_66834,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_66816]) ).
tff(c_66040,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_128]) ).
tff(c_66028,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66021,c_130]) ).
tff(c_66047,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66040,c_66028,c_24]) ).
tff(c_66048,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_66047]) ).
tff(c_66054,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_132]) ).
tff(c_66038,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_66034,c_150]) ).
tff(c_66051,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66048,c_184]) ).
tff(c_66059,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_66060,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_66059]) ).
tff(c_66063,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66060,c_152]) ).
tff(c_66214,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_66051,c_59438,c_66063,c_48]) ).
tff(c_66164,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_62222,c_28]) ).
tff(c_66168,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_164]) ).
tff(c_66180,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_66168,c_40]) ).
tff(c_66181,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_66180]) ).
tff(c_66187,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66181,c_104]) ).
tff(c_66193,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_66036,c_28541,c_14800,c_292]) ).
tff(c_66169,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66164,c_142]) ).
tff(c_66210,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_59435,c_268]) ).
tff(c_66211,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66187,c_202,c_66193,c_66169,c_66210]) ).
tff(c_66212,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_66180]) ).
tff(c_66225,plain,
( ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66214,c_66212]) ).
tff(c_66226,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_66225]) ).
tff(c_66232,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66226,c_146]) ).
tff(c_66070,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_14]) ).
tff(c_66071,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_66070]) ).
tff(c_66075,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66071,c_174]) ).
tff(c_66150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66054,c_28541,c_66075,c_66027,c_22]) ).
tff(c_66151,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_66070]) ).
tff(c_66426,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66151,c_59435,c_56]) ).
tff(c_66427,plain,
op(e2,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_66232,c_66426]) ).
tff(c_66445,plain,
( ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66427,c_66151,c_59435,c_60]) ).
tff(c_66446,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_66038,c_66445]) ).
tff(c_66447,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_66059]) ).
tff(c_66449,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_66447]) ).
tff(c_66454,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66449,c_140]) ).
tff(c_66460,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_66036,c_381,c_2]) ).
tff(c_66461,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_66460]) ).
tff(c_66464,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_66461,c_100]) ).
tff(c_66472,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_62222,c_28]) ).
tff(c_66476,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66472,c_164]) ).
tff(c_66482,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_66051,c_8]) ).
tff(c_66483,plain,
op(e3,e0) = e1,
inference(splitLeft,[status(thm)],[c_66482]) ).
tff(c_66495,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66483,c_66461,c_40]) ).
tff(c_66496,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_66476,c_202,c_66495]) ).
tff(c_66500,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66496,c_172]) ).
tff(c_66512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66054,c_28541,c_66500,c_66027,c_22]) ).
tff(c_66513,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_66482]) ).
tff(c_66584,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_66513]) ).
tff(c_66599,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66584,c_66461,c_40]) ).
tff(c_66600,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_66476,c_202,c_66599]) ).
tff(c_66604,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66600,c_172]) ).
tff(c_66614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66054,c_28541,c_66604,c_66027,c_22]) ).
tff(c_66615,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_66513]) ).
tff(c_66621,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66615,c_108]) ).
tff(c_66515,plain,
( ( op(e2,e1) = e3 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_59436,c_28539,c_14]) ).
tff(c_66516,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_66515]) ).
tff(c_66520,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66516,c_174]) ).
tff(c_66570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66054,c_28541,c_66520,c_66027,c_22]) ).
tff(c_66571,plain,
op(e2,e1) = e3,
inference(splitRight,[status(thm)],[c_66515]) ).
tff(c_66575,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66571,c_170]) ).
tff(c_66713,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66464,c_28540,c_66621,c_66575,c_6]) ).
tff(c_66714,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_66460]) ).
tff(c_66748,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66714,c_66714,c_228]) ).
tff(c_66749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_66027,c_66454,c_66748]) ).
tff(c_66750,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_66447]) ).
tff(c_66762,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_66750,c_84]) ).
tff(c_66763,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_62222,c_194,c_66762]) ).
tff(c_66798,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66763,c_292]) ).
tff(c_66799,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_66036,c_28541,c_196,c_66798]) ).
tff(c_66800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66054,c_28541,c_66799,c_66027,c_22]) ).
tff(c_66801,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_66047]) ).
tff(c_66808,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66801,c_132]) ).
tff(c_66944,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_66808,c_66027,c_22]) ).
tff(c_66841,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66834,c_98]) ).
tff(c_66901,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66021,c_59435,c_54]) ).
tff(c_66902,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_66841,c_66901]) ).
tff(c_66839,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_66834,c_152]) ).
tff(c_66848,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_66839,c_26]) ).
tff(c_66849,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_66848]) ).
tff(c_66935,plain,
( ( e3 = e0 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_28538,c_66902,c_66849,c_84]) ).
tff(c_66936,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_200,c_66935]) ).
tff(c_67105,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_66834,c_59435,c_66944,c_66936,c_300]) ).
tff(c_67106,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_204,c_196,c_67105]) ).
tff(c_67107,plain,
op(e0,e3) = e3,
inference(splitRight,[status(thm)],[c_66848]) ).
tff(c_67158,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67107,c_66034,c_66834,c_46]) ).
tff(c_67159,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_44622,c_202,c_67158]) ).
tff(c_67160,plain,
( ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_66033]) ).
tff(c_67162,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_67160]) ).
tff(c_67167,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_67162,c_98]) ).
tff(c_67479,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_62222,c_28]) ).
tff(c_67483,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_67479,c_164]) ).
tff(c_66022,plain,
op(e3,e2) != e3,
inference(splitRight,[status(thm)],[c_62221]) ).
tff(c_67621,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59438,c_67167,c_67483,c_66022,c_4]) ).
tff(c_67623,plain,
op(e3,e3) != e1,
inference(splitRight,[status(thm)],[c_67160]) ).
tff(c_68298,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_67623,c_381,c_2]) ).
tff(c_68299,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_68298]) ).
tff(c_68332,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68299,c_59435,c_59435,c_266]) ).
tff(c_68333,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_68332]) ).
tff(c_68375,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68299,c_68333,c_68333,c_292]) ).
tff(c_68376,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_68375]) ).
tff(c_68377,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_68298]) ).
tff(c_68431,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28541,c_66027,c_22]) ).
tff(c_68432,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_68431]) ).
tff(c_68437,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68432,c_124]) ).
tff(c_67161,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_66033]) ).
tff(c_68382,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68377,c_148]) ).
tff(c_66026,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_66021,c_122]) ).
tff(c_68443,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68437,c_67161,c_68382,c_66026,c_18]) ).
tff(c_68444,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_68431]) ).
tff(c_68391,plain,
op(e0,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_59437,c_28543,c_62222,c_28]) ).
tff(c_68396,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68391,c_142]) ).
tff(c_68407,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_68396,c_32]) ).
tff(c_68408,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_68407]) ).
tff(c_68515,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68377,c_59435,c_68444,c_68408,c_300]) ).
tff(c_68516,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_198,c_204,c_68515]) ).
tff(c_68517,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_68407]) ).
tff(c_68532,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68377,c_68517,c_292]) ).
tff(c_68533,plain,
op(e1,e1) != e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_28541,c_196,c_68532]) ).
tff(c_68536,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_28541,c_68533,c_66027,c_22]) ).
tff(c_68542,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68536,c_124]) ).
tff(c_68565,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68542,c_67161,c_68382,c_66026,c_18]) ).
tff(c_68566,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_28536]) ).
tff(c_68568,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_164]) ).
tff(c_68569,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_166]) ).
tff(c_68578,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_68581,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_162]) ).
tff(c_68570,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_168]) ).
tff(c_68589,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_68593,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68589,c_132]) ).
tff(c_68592,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68589,c_192]) ).
tff(c_222,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 )
| ( op(e3,e3) = e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_68725,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_222]) ).
tff(c_68726,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_68725]) ).
tff(c_68734,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68726,c_381,c_2]) ).
tff(c_68735,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_68734]) ).
tff(c_68748,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68735,c_68578,c_236]) ).
tff(c_68749,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_68593,c_68592,c_68748]) ).
tff(c_68750,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_68734]) ).
tff(c_68600,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68589,c_72]) ).
tff(c_68601,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_68600]) ).
tff(c_68602,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_68601]) ).
tff(c_68609,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_68602,c_126]) ).
tff(c_68594,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_68589,c_130]) ).
tff(c_68687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68581,c_68570,c_68609,c_68594,c_20]) ).
tff(c_68689,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_68601]) ).
tff(c_69100,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68750,c_68578,c_268]) ).
tff(c_69101,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_68689,c_69100]) ).
tff(c_69180,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68750,c_68578,c_68750,c_69101,c_232]) ).
tff(c_69181,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_69180]) ).
tff(c_69183,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_68725]) ).
tff(c_69604,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69183,c_69183,c_228]) ).
tff(c_69605,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_68593,c_68592,c_69604]) ).
tff(c_69606,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_69608,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_69606]) ).
tff(c_69613,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_124]) ).
tff(c_69619,plain,
( ( e3 = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_72]) ).
tff(c_69620,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_69619]) ).
tff(c_69621,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_69620]) ).
tff(c_69627,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69621,c_130]) ).
tff(c_69612,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_122]) ).
tff(c_69632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68581,c_68570,c_69627,c_69612,c_20]) ).
tff(c_69633,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_69620]) ).
tff(c_69635,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_69633]) ).
tff(c_69642,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69635,c_126]) ).
tff(c_69636,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_69637,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_69636]) ).
tff(c_69649,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_69637,c_152]) ).
tff(c_69610,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_69608,c_156]) ).
tff(c_69744,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_69649,c_28537,c_69610,c_26]) ).
tff(c_69749,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69744,c_140]) ).
tff(c_69773,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69637,c_68578,c_268]) ).
tff(c_69774,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_69642,c_69749,c_69773]) ).
tff(c_69775,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_69636]) ).
tff(c_69789,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_69775]) ).
tff(c_69911,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69635,c_69608,c_80]) ).
tff(c_69912,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_69911]) ).
tff(c_69913,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_69912]) ).
tff(c_70058,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69913,c_69635,c_69608,c_76]) ).
tff(c_70059,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_70058]) ).
tff(c_69815,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_84]) ).
tff(c_69816,plain,
( ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_69610,c_69815]) ).
tff(c_69817,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_69816]) ).
tff(c_70157,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69789,c_68578,c_70059,c_69817,c_296]) ).
tff(c_70158,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_70157]) ).
tff(c_70159,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_69912]) ).
tff(c_70278,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69789,c_68578,c_70159,c_69817,c_300]) ).
tff(c_70279,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_204,c_196,c_70278]) ).
tff(c_70281,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_69816]) ).
tff(c_70400,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_69789,c_69789,c_228]) ).
tff(c_70401,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_69613,c_70281,c_70400]) ).
tff(c_70402,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_69775]) ).
tff(c_69783,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_69635,c_126]) ).
tff(c_70456,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70402,c_322]) ).
tff(c_70457,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_70456]) ).
tff(c_70458,plain,
op(e0,e0) != e2,
inference(splitLeft,[status(thm)],[c_70457]) ).
tff(c_70505,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70402,c_68578,c_268]) ).
tff(c_70506,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_69783,c_70458,c_70505]) ).
tff(c_70508,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_70457]) ).
tff(c_70658,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70402,c_68578,c_70402,c_70508,c_232]) ).
tff(c_70659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_70658]) ).
tff(c_70661,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_69633]) ).
tff(c_70672,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68581,c_68570,c_70661,c_69612,c_20]) ).
tff(c_70673,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_69606]) ).
tff(c_70675,plain,
op(e1,e1) = e3,
inference(splitLeft,[status(thm)],[c_70673]) ).
tff(c_70879,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70675,c_68578,c_70675,c_284]) ).
tff(c_70880,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_14800,c_70879]) ).
tff(c_70882,plain,
op(e1,e1) != e3,
inference(splitRight,[status(thm)],[c_70673]) ).
tff(c_70913,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_222]) ).
tff(c_70914,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_70913]) ).
tff(c_71232,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_70914,c_381,c_2]) ).
tff(c_71233,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_71232]) ).
tff(c_70894,plain,
( ( op(e2,e3) = e2 )
| ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_56]) ).
tff(c_70895,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e2,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_70894]) ).
tff(c_70896,plain,
op(e2,e0) = e2,
inference(splitLeft,[status(thm)],[c_70895]) ).
tff(c_70899,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70896,c_186]) ).
tff(c_70881,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_70673]) ).
tff(c_70907,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70881,c_72]) ).
tff(c_70908,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_70907]) ).
tff(c_70909,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_70908]) ).
tff(c_70910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70899,c_70909]) ).
tff(c_70911,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_70908]) ).
tff(c_70915,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_70911]) ).
tff(c_70920,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70915,c_124]) ).
tff(c_70900,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70896,c_190]) ).
tff(c_70928,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_70914,c_381,c_2]) ).
tff(c_70929,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_70928]) ).
tff(c_70918,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_70915,c_156]) ).
tff(c_68583,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_114]) ).
tff(c_70933,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_70929,c_100]) ).
tff(c_70959,plain,
( ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68583,c_70933,c_78]) ).
tff(c_70960,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_70959]) ).
tff(c_71020,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70960,c_68566,c_88]) ).
tff(c_71021,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70900,c_202,c_198,c_70918,c_71020]) ).
tff(c_71022,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_70959]) ).
tff(c_71035,plain,
e3 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_70929,c_68578,c_71022,c_70929,c_234]) ).
tff(c_71036,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_71035]) ).
tff(c_71037,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_70928]) ).
tff(c_71216,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71037,c_68578,c_268]) ).
tff(c_71217,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_70920,c_70900,c_71216]) ).
tff(c_71218,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_70911]) ).
tff(c_71289,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71233,c_71218,c_71218,c_292]) ).
tff(c_71290,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_71289]) ).
tff(c_71291,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_71232]) ).
tff(c_71498,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71291,c_68578,c_71291,c_232]) ).
tff(c_71499,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_71498]) ).
tff(c_356,plain,
( ( op(e2,e2) != e0 )
| ( op(op(e2,e2),op(e2,e2)) != e3 )
| ( op(op(e2,e2),e2) != e1 ) ),
inference(cnfTransformation,[status(thm)],[f_718]) ).
tff(c_71692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_68578,c_71499,c_68578,c_68578,c_68578,c_356]) ).
tff(c_71694,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_70913]) ).
tff(c_71697,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71694,c_148]) ).
tff(c_71708,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_71697,c_70911]) ).
tff(c_71720,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_70900,c_32]) ).
tff(c_71721,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_71720]) ).
tff(c_71746,plain,
( ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71694,c_71694,c_71708,c_71721,c_228]) ).
tff(c_71747,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_71746]) ).
tff(c_71748,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_71720]) ).
tff(c_71806,plain,
( ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71694,c_71708,c_71708,c_71748,c_292]) ).
tff(c_71807,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_71806]) ).
tff(c_71808,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_70895]) ).
tff(c_71810,plain,
op(e2,e3) = e2,
inference(splitLeft,[status(thm)],[c_71808]) ).
tff(c_71827,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71810,c_46]) ).
tff(c_71828,plain,
( ( op(e3,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_71827]) ).
tff(c_71829,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_71828]) ).
tff(c_71836,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_71829,c_136]) ).
tff(c_68567,plain,
op(e0,e1) != e1,
inference(splitRight,[status(thm)],[c_28536]) ).
tff(c_71815,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71810,c_146]) ).
tff(c_69607,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_71841,plain,
( ( op(e3,e0) = e3 )
| ( op(e2,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_69607,c_82]) ).
tff(c_71842,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_71841]) ).
tff(c_71862,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_71842,c_268]) ).
tff(c_71863,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_71815,c_202,c_194,c_71862]) ).
tff(c_71865,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71863,c_180]) ).
tff(c_71848,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_71842,c_144]) ).
tff(c_71921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71836,c_68567,c_71865,c_71848,c_30]) ).
tff(c_71923,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_71841]) ).
tff(c_71938,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( op(e3,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_268]) ).
tff(c_71939,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_71815,c_202,c_71938]) ).
tff(c_71940,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_71939]) ).
tff(c_71969,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_71940,c_236]) ).
tff(c_71970,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_200,c_194,c_71923,c_71969]) ).
tff(c_71971,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_71939]) ).
tff(c_71995,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_71971,c_236]) ).
tff(c_71996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_381,c_200,c_70882,c_194,c_71995]) ).
tff(c_71998,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_71828]) ).
tff(c_71814,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_71810,c_154]) ).
tff(c_71997,plain,
( ( op(e1,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_71828]) ).
tff(c_71999,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_71997]) ).
tff(c_72239,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_71999,c_68578,c_71999,c_234]) ).
tff(c_72240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_70882,c_72239]) ).
tff(c_72242,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_71997]) ).
tff(c_72262,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72242,c_71815,c_381,c_2]) ).
tff(c_72295,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72262,c_68578,c_72262,c_232]) ).
tff(c_72296,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_72295]) ).
tff(c_72301,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72296,c_140]) ).
tff(c_72313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71998,c_28537,c_71814,c_72301,c_26]) ).
tff(c_72314,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_71808]) ).
tff(c_72319,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72314,c_174]) ).
tff(c_72628,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_222]) ).
tff(c_72629,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_72628]) ).
tff(c_72641,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72629,c_381,c_2]) ).
tff(c_72642,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_72641]) ).
tff(c_72663,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72642,c_68578,c_68578,c_266]) ).
tff(c_72664,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_72319,c_72663]) ).
tff(c_72665,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_72641]) ).
tff(c_72689,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72665,c_68578,c_68578,c_266]) ).
tff(c_72690,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_72319,c_72689]) ).
tff(c_72692,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_72628]) ).
tff(c_72695,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72692,c_148]) ).
tff(c_72326,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_70881,c_72]) ).
tff(c_72327,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_72326]) ).
tff(c_72328,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72327]) ).
tff(c_72333,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72328,c_132]) ).
tff(c_72361,plain,
( ( op(e3,e3) != e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68578,c_234]) ).
tff(c_72362,plain,
op(e3,e3) != e0,
inference(negUnitSimplification,[status(thm)],[c_381,c_200,c_70882,c_72361]) ).
tff(c_72344,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,e3) != e1 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_222]) ).
tff(c_72345,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_72344]) ).
tff(c_72440,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_72362,c_72345,c_381,c_2]) ).
tff(c_72454,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72440,c_68578,c_68578,c_266]) ).
tff(c_72455,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_72333,c_72454]) ).
tff(c_72457,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_72344]) ).
tff(c_72462,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72457,c_98]) ).
tff(c_72624,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_70881,c_68578,c_54]) ).
tff(c_72625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_72462,c_72624]) ).
tff(c_72626,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72327]) ).
tff(c_72707,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72695,c_72319,c_72626]) ).
tff(c_72708,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_72710,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_68569,c_72708]) ).
tff(c_72711,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_72710]) ).
tff(c_77338,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_162]) ).
tff(c_72712,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_68]) ).
tff(c_72727,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_132]) ).
tff(c_72726,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_192]) ).
tff(c_73994,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_73995,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_73994]) ).
tff(c_73998,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73995,c_152]) ).
tff(c_72718,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_114]) ).
tff(c_74364,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_72718,c_14]) ).
tff(c_74365,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_74364]) ).
tff(c_74369,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74365,c_174]) ).
tff(c_74000,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73995,c_140]) ).
tff(c_74537,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_332]) ).
tff(c_74538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73998,c_200,c_74369,c_74000,c_74537]) ).
tff(c_74539,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_74364]) ).
tff(c_74551,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_74539]) ).
tff(c_74554,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74551,c_170]) ).
tff(c_72717,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_110]) ).
tff(c_72734,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_72]) ).
tff(c_72735,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_72734]) ).
tff(c_72736,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_72735]) ).
tff(c_73906,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_72736,c_80]) ).
tff(c_73907,plain,
( ( op(e1,e3) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_73906]) ).
tff(c_73908,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_73907]) ).
tff(c_73913,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73908,c_122]) ).
tff(c_72747,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_60]) ).
tff(c_72748,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_72747]) ).
tff(c_72749,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_72748]) ).
tff(c_72753,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72749,c_116]) ).
tff(c_72761,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_72753,c_42]) ).
tff(c_72762,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_72761]) ).
tff(c_72765,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72762,c_148]) ).
tff(c_72828,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_72736,c_300]) ).
tff(c_72829,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72765,c_196,c_198,c_14800,c_72828]) ).
tff(c_72830,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_72761]) ).
tff(c_72835,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72830,c_100]) ).
tff(c_72831,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_72761]) ).
tff(c_72851,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72736,c_78]) ).
tff(c_72852,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_72851]) ).
tff(c_72853,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_72852]) ).
tff(c_72856,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72853,c_178]) ).
tff(c_72754,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_72749,c_120]) ).
tff(c_72740,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72736,c_174]) ).
tff(c_72976,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72856,c_72754,c_72740,c_72718,c_14]) ).
tff(c_72977,plain,
( ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_72852]) ).
tff(c_72979,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_72977]) ).
tff(c_72984,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_72979,c_102]) ).
tff(c_73035,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_72711,c_62]) ).
tff(c_73036,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_72984,c_73035]) ).
tff(c_73052,plain,
( ( op(e1,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_72736,c_73036,c_76]) ).
tff(c_73053,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_72831,c_73052]) ).
tff(c_73054,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_72977]) ).
tff(c_73389,plain,
( ( op(e3,e1) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72736,c_73054,c_74]) ).
tff(c_73390,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68567,c_198,c_204,c_72835,c_73389]) ).
tff(c_73391,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_72748]) ).
tff(c_73393,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_73391]) ).
tff(c_73398,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73393,c_146]) ).
tff(c_73533,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_72726,c_32]) ).
tff(c_73534,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_73533]) ).
tff(c_73546,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_72736,c_73534,c_300]) ).
tff(c_73547,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73398,c_196,c_198,c_204,c_73546]) ).
tff(c_73548,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_73533]) ).
tff(c_73562,plain,
( ( e2 = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_72736,c_73548,c_300]) ).
tff(c_73563,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73398,c_196,c_198,c_198,c_73562]) ).
tff(c_73565,plain,
op(e2,e3) != e1,
inference(splitRight,[status(thm)],[c_73391]) ).
tff(c_73585,plain,
( ( op(e3,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_73565,c_42]) ).
tff(c_73586,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_73585]) ).
tff(c_73589,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_73586,c_148]) ).
tff(c_73631,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_72736,c_300]) ).
tff(c_73632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73589,c_196,c_198,c_14800,c_73631]) ).
tff(c_73634,plain,
op(e1,e3) != e1,
inference(splitRight,[status(thm)],[c_73585]) ).
tff(c_72742,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72736,c_124]) ).
tff(c_72729,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_128]) ).
tff(c_73956,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73913,c_73634,c_72742,c_72729,c_18]) ).
tff(c_73958,plain,
op(e1,e2) != e0,
inference(splitRight,[status(thm)],[c_73907]) ).
tff(c_72741,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_72736,c_126]) ).
tff(c_72716,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_162]) ).
tff(c_73991,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73958,c_68570,c_72741,c_72716,c_20]) ).
tff(c_73992,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72735]) ).
tff(c_74006,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_73992]) ).
tff(c_74360,plain,
( ( op(e3,e3) = e3 )
| ( op(e2,e3) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_73995,c_74006,c_34]) ).
tff(c_74361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_72717,c_381,c_74360]) ).
tff(c_74362,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_73992]) ).
tff(c_74543,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74362,c_160]) ).
tff(c_74563,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74554,c_74543,c_40]) ).
tff(c_74564,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_74563]) ).
tff(c_74567,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74564,c_188]) ).
tff(c_74555,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74551,c_178]) ).
tff(c_74632,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_73995,c_88]) ).
tff(c_74633,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74567,c_74555,c_198,c_202,c_74632]) ).
tff(c_74634,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_74563]) ).
tff(c_74001,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_73995,c_136]) ).
tff(c_74647,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74551,c_78]) ).
tff(c_74648,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74001,c_202,c_74647]) ).
tff(c_74649,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_74648]) ).
tff(c_74700,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74634,c_74634,c_74649,c_228]) ).
tff(c_74701,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_72726,c_74700]) ).
tff(c_74702,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_74648]) ).
tff(c_74707,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74702,c_102]) ).
tff(c_74722,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_74362,c_72711,c_62]) ).
tff(c_74723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_74707,c_74722]) ).
tff(c_74724,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_74539]) ).
tff(c_74732,plain,
op(e2,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74724,c_120]) ).
tff(c_74738,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74543,c_40]) ).
tff(c_74739,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_74738]) ).
tff(c_74791,plain,
( ( e2 = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_74739,c_90]) ).
tff(c_74792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_74732,c_198,c_74791]) ).
tff(c_74793,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_74738]) ).
tff(c_74797,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_74793]) ).
tff(c_74812,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74797,c_74797,c_228]) ).
tff(c_74813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_72727,c_72726,c_74812]) ).
tff(c_74815,plain,
op(e3,e3) != e2,
inference(splitRight,[status(thm)],[c_74793]) ).
tff(c_74840,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_73998,c_74815,c_381,c_2]) ).
tff(c_74846,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_74840,c_104]) ).
tff(c_74794,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_74738]) ).
tff(c_74837,plain,
( ( op(e3,e0) = e2 )
| ( op(e2,e0) = e2 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_86]) ).
tff(c_74838,plain,
( ( op(e2,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_74794,c_74837]) ).
tff(c_74839,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_74838]) ).
tff(c_74874,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74839,c_72712,c_90]) ).
tff(c_74875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_74732,c_74846,c_74874]) ).
tff(c_74876,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_74838]) ).
tff(c_74881,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74876,c_190]) ).
tff(c_74814,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_74793]) ).
tff(c_74818,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74814,c_176]) ).
tff(c_74902,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_73995,c_88]) ).
tff(c_74903,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74881,c_74818,c_198,c_202,c_74902]) ).
tff(c_74904,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_73994]) ).
tff(c_76349,plain,
op(e0,e3) = e3,
inference(splitLeft,[status(thm)],[c_74904]) ).
tff(c_76361,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76349,c_42]) ).
tff(c_76362,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_76361]) ).
tff(c_76363,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_76362]) ).
tff(c_76366,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76363,c_148]) ).
tff(c_74936,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_74939,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74936,c_178]) ).
tff(c_74906,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_73992]) ).
tff(c_74908,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74906,c_148]) ).
tff(c_74947,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_74908,c_40]) ).
tff(c_74948,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_74947]) ).
tff(c_74951,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74948,c_188]) ).
tff(c_74909,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_74906,c_156]) ).
tff(c_74917,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_74909,c_74904]) ).
tff(c_75053,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74936,c_68566,c_74917,c_88]) ).
tff(c_75054,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74951,c_202,c_198,c_194,c_75053]) ).
tff(c_75056,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_74947]) ).
tff(c_72724,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_184]) ).
tff(c_75773,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_75056,c_72724,c_8]) ).
tff(c_75774,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_75773]) ).
tff(c_75779,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75774,c_106]) ).
tff(c_74940,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74936,c_176]) ).
tff(c_75055,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_74947]) ).
tff(c_75057,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_75055]) ).
tff(c_75068,plain,
( ( op(e3,e3) = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75057,c_48]) ).
tff(c_75069,plain,
( ( op(e3,e3) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_74940,c_202,c_75068]) ).
tff(c_75070,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_75069]) ).
tff(c_75279,plain,
( ( e1 = e0 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_75070,c_90]) ).
tff(c_75280,plain,
op(e2,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_204,c_75279]) ).
tff(c_75284,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75280,c_116]) ).
tff(c_75084,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_300]) ).
tff(c_75085,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_14800,c_75084]) ).
tff(c_75086,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_75085]) ).
tff(c_75139,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74936,c_68566,c_74917,c_88]) ).
tff(c_75140,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_75139]) ).
tff(c_74941,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_74936,c_180]) ).
tff(c_73993,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_72735]) ).
tff(c_75100,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_74941,c_73993,c_72727,c_22]) ).
tff(c_75252,plain,
( ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75086,c_75140,c_75100,c_75140,c_324]) ).
tff(c_75253,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_75252]) ).
tff(c_75255,plain,
op(e3,e3) != e1,
inference(splitRight,[status(thm)],[c_75085]) ).
tff(c_75377,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74917,c_74906,c_42]) ).
tff(c_75378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_75284,c_75255,c_75377]) ).
tff(c_75379,plain,
op(e3,e3) = e0,
inference(splitRight,[status(thm)],[c_75069]) ).
tff(c_75404,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75379,c_72711,c_300]) ).
tff(c_75405,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_14800,c_75404]) ).
tff(c_75563,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74936,c_68566,c_74917,c_88]) ).
tff(c_75564,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_75563]) ).
tff(c_75759,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_75379,c_72711,c_75405,c_75564,c_296]) ).
tff(c_75760,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_75759]) ).
tff(c_75762,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_75055]) ).
tff(c_72715,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_158]) ).
tff(c_75868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75779,c_68568,c_75762,c_72715,c_4]) ).
tff(c_75869,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_75773]) ).
tff(c_75876,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75869,c_104]) ).
tff(c_75882,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_300]) ).
tff(c_75883,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_75876,c_196,c_14800,c_75882]) ).
tff(c_75887,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_75883,c_174]) ).
tff(c_75761,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_75055]) ).
tff(c_75764,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_75761,c_170]) ).
tff(c_75921,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_74939,c_75887,c_75764,c_72718,c_14]) ).
tff(c_75922,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_75924,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_75922]) ).
tff(c_75928,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75924,c_100]) ).
tff(c_75927,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_75924,c_172]) ).
tff(c_75998,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_75927,c_73993,c_72727,c_22]) ).
tff(c_75963,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_332]) ).
tff(c_75964,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_75928,c_200,c_75927,c_75963]) ).
tff(c_76008,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_75998,c_75964,c_330]) ).
tff(c_76009,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_75928,c_200,c_204,c_76008]) ).
tff(c_76010,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_75922]) ).
tff(c_76012,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_76010]) ).
tff(c_76023,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_76012,c_74906,c_76]) ).
tff(c_76024,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_68570,c_198,c_76023]) ).
tff(c_76025,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_76010]) ).
tff(c_76031,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76025,c_112]) ).
tff(c_76026,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_76010]) ).
tff(c_76037,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_332]) ).
tff(c_76038,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_76026,c_76037]) ).
tff(c_76039,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_76038]) ).
tff(c_76069,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_76026,c_73993,c_72727,c_22]) ).
tff(c_76097,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_72726,c_32]) ).
tff(c_76098,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_76097]) ).
tff(c_76218,plain,
( ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76039,c_72711,c_76069,c_76098,c_296]) ).
tff(c_76219,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_76218]) ).
tff(c_76220,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_76097]) ).
tff(c_76225,plain,
op(e2,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76220,c_190]) ).
tff(c_76087,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74917,c_74906,c_76039,c_42]) ).
tff(c_76088,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_76087]) ).
tff(c_76305,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( op(e2,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76025,c_72711,c_76088,c_56]) ).
tff(c_76306,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76225,c_202,c_194,c_198,c_76305]) ).
tff(c_76308,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_76038]) ).
tff(c_76336,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_74917,c_74906,c_46]) ).
tff(c_76337,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_76031,c_76308,c_76336]) ).
tff(c_76338,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_73992]) ).
tff(c_76612,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_76338,c_72711,c_62]) ).
tff(c_76613,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_76612]) ).
tff(c_76618,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76613,c_98]) ).
tff(c_76624,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_330]) ).
tff(c_76625,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_76618,c_200,c_76624]) ).
tff(c_76626,plain,
op(e0,e0) != e0,
inference(splitLeft,[status(thm)],[c_76625]) ).
tff(c_76627,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_332]) ).
tff(c_76628,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_76618,c_200,c_76626,c_76627]) ).
tff(c_76654,plain,
( ( op(e0,e0) = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_76628,c_300]) ).
tff(c_76655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76366,c_196,c_204,c_14800,c_76654]) ).
tff(c_76656,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_76625]) ).
tff(c_76657,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_76625]) ).
tff(c_76684,plain,
( ( e1 = e0 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_76656,c_76657,c_300]) ).
tff(c_76685,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76366,c_196,c_204,c_204,c_76684]) ).
tff(c_76686,plain,
( ( op(e2,e3) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_76362]) ).
tff(c_76688,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_76686]) ).
tff(c_76694,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76688,c_146]) ).
tff(c_76933,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_60]) ).
tff(c_76934,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_76694,c_76933]) ).
tff(c_76935,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_76934]) ).
tff(c_76940,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76935,c_120]) ).
tff(c_76691,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76688,c_100]) ).
tff(c_76693,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_76688,c_104]) ).
tff(c_76749,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_76693,c_72724,c_8]) ).
tff(c_76750,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_76749]) ).
tff(c_76701,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_76705,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76701,c_176]) ).
tff(c_76729,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76688,c_48]) ).
tff(c_76730,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_76705,c_204,c_76729]) ).
tff(c_76731,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_76730]) ).
tff(c_76736,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76731,c_106]) ).
tff(c_76745,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_76338,c_72711,c_62]) ).
tff(c_76746,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_76736,c_76745]) ).
tff(c_76748,plain,
op(e3,e0) != e0,
inference(splitRight,[status(thm)],[c_76730]) ).
tff(c_76761,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76750,c_76748]) ).
tff(c_76762,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_76749]) ).
tff(c_76767,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_76762,c_188]) ).
tff(c_76791,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76701,c_68566,c_76349,c_88]) ).
tff(c_76792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_76767,c_202,c_198,c_194,c_76791]) ).
tff(c_76793,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_76795,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_76793]) ).
tff(c_76800,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_76795,c_102]) ).
tff(c_76841,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_76338,c_72711,c_62]) ).
tff(c_76842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_76800,c_76841]) ).
tff(c_76843,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_76793]) ).
tff(c_76845,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_76843]) ).
tff(c_76973,plain,
( ( op(e3,e1) = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76845,c_74]) ).
tff(c_76974,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_68567,c_204,c_76940,c_76691,c_76973]) ).
tff(c_76976,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_76934]) ).
tff(c_76995,plain,
( ( op(e3,e0) = e1 )
| ( op(e2,e0) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72712,c_90]) ).
tff(c_76996,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14800,c_196,c_76976,c_76693,c_76995]) ).
tff(c_76998,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_76843]) ).
tff(c_77160,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76688,c_72711,c_330]) ).
tff(c_77161,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_76998,c_77160]) ).
tff(c_77162,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_76998,c_73993,c_72727,c_22]) ).
tff(c_77243,plain,
( ( op(e0,e0) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_76688,c_72711,c_77162,c_332]) ).
tff(c_77244,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_204,c_77161,c_77243]) ).
tff(c_77246,plain,
op(e3,e3) != e1,
inference(splitRight,[status(thm)],[c_76686]) ).
tff(c_77284,plain,
( ( op(e3,e3) != e0 )
| ( op(e3,e3) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_72727,c_226]) ).
tff(c_77285,plain,
op(e3,e3) != e2,
inference(splitLeft,[status(thm)],[c_77284]) ).
tff(c_77302,plain,
op(e3,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_77246,c_77285,c_381,c_2]) ).
tff(c_77291,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_76338,c_72711,c_62]) ).
tff(c_77292,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_77291]) ).
tff(c_77297,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77292,c_98]) ).
tff(c_77313,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_77302,c_77297]) ).
tff(c_77315,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_77284]) ).
tff(c_77331,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77315,c_77315,c_228]) ).
tff(c_77332,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_72727,c_72726,c_77331]) ).
tff(c_77333,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_77348,plain,
( ( op(e1,e1) = e3 )
| ( op(e1,e3) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_77338,c_77333]) ).
tff(c_77349,plain,
op(e1,e3) = e3,
inference(splitLeft,[status(thm)],[c_77348]) ).
tff(c_77351,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_156]) ).
tff(c_77375,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68570,c_77338,c_20]) ).
tff(c_77376,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_77375]) ).
tff(c_77381,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77376,c_130]) ).
tff(c_77362,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_60]) ).
tff(c_77363,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 )
| ( op(e2,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_77362]) ).
tff(c_77364,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_77363]) ).
tff(c_77367,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77364,c_186]) ).
tff(c_78275,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_88]) ).
tff(c_78276,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_78275]) ).
tff(c_78277,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_78276]) ).
tff(c_78282,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78277,c_140]) ).
tff(c_77379,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77376,c_160]) ).
tff(c_77366,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77364,c_182]) ).
tff(c_78036,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77366,c_8]) ).
tff(c_78037,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_78036]) ).
tff(c_78042,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78037,c_188]) ).
tff(c_77369,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77364,c_116]) ).
tff(c_77886,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_77887,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_77886]) ).
tff(c_77948,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_77887,c_42]) ).
tff(c_77949,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_77369,c_204,c_77948]) ).
tff(c_77950,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_77886]) ).
tff(c_77952,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_77950]) ).
tff(c_77957,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77952,c_98]) ).
tff(c_77337,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_158]) ).
tff(c_78019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77379,c_68568,c_77957,c_77337,c_4]) ).
tff(c_78020,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_77950]) ).
tff(c_77380,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_77376,c_126]) ).
tff(c_77386,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_294]) ).
tff(c_77387,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_77386]) ).
tff(c_77388,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_77387]) ).
tff(c_77393,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_77394,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_77393]) ).
tff(c_77446,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_77394,c_42]) ).
tff(c_77447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_77369,c_204,c_77446]) ).
tff(c_77448,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_77393]) ).
tff(c_77541,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_77448]) ).
tff(c_77461,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_77448]) ).
tff(c_77450,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_77451,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_77450]) ).
tff(c_77490,plain,
( ( e1 = e0 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77461,c_72711,c_77451,c_300]) ).
tff(c_77491,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_77388,c_204,c_77490]) ).
tff(c_77492,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_77448]) ).
tff(c_77537,plain,
( ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77492,c_72711,c_77451,c_330]) ).
tff(c_77538,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_77380,c_77537]) ).
tff(c_77539,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_77450]) ).
tff(c_77555,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_77539]) ).
tff(c_77568,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77541,c_72711,c_77555,c_300]) ).
tff(c_77569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_77388,c_196,c_77568]) ).
tff(c_77570,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_77539]) ).
tff(c_77586,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77541,c_72711,c_77570,c_300]) ).
tff(c_77587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_77388,c_198,c_77586]) ).
tff(c_77588,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_77448]) ).
tff(c_77602,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_77539]) ).
tff(c_77644,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77588,c_72711,c_77602,c_332]) ).
tff(c_77645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_77380,c_200,c_77644]) ).
tff(c_77646,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_77539]) ).
tff(c_77651,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_77646,c_192]) ).
tff(c_77334,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_68]) ).
tff(c_77872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77381,c_77367,c_77651,c_77334,c_24]) ).
tff(c_77874,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_77387]) ).
tff(c_78240,plain,
( ( op(e0,e0) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78020,c_72711,c_77874,c_332]) ).
tff(c_78241,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_204,c_78042,c_78240]) ).
tff(c_78242,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_78036]) ).
tff(c_78244,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_78242]) ).
tff(c_78257,plain,
( ( e1 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78244,c_78020,c_48]) ).
tff(c_78258,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_77379,c_204,c_78257]) ).
tff(c_78261,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78258,c_170]) ).
tff(c_78292,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e0 )
| ( e3 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_78020,c_46]) ).
tff(c_78293,plain,
( ( op(e2,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_78292]) ).
tff(c_78294,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_78293]) ).
tff(c_78322,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78294,c_77349,c_78020,c_38]) ).
tff(c_78323,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_78322]) ).
tff(c_78377,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77364,c_72711,c_78323,c_64]) ).
tff(c_78378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_78261,c_200,c_202,c_78377]) ).
tff(c_78379,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_78293]) ).
tff(c_78409,plain,
( ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_78379,c_78020,c_38]) ).
tff(c_78410,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78282,c_194,c_202,c_198,c_78409]) ).
tff(c_78412,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_78276]) ).
tff(c_78498,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78020,c_72711,c_77874,c_268]) ).
tff(c_78499,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_198,c_78412,c_78498]) ).
tff(c_78500,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_78242]) ).
tff(c_78505,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78500,c_184]) ).
tff(c_78529,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_77381,c_77367,c_78505,c_77334,c_24]) ).
tff(c_78530,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_77375]) ).
tff(c_79303,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78530,c_77349,c_80]) ).
tff(c_79304,plain,
( ( op(e1,e1) = e0 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_79303]) ).
tff(c_79305,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_79304]) ).
tff(c_79309,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79305,c_192]) ).
tff(c_79193,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_42]) ).
tff(c_79194,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_77369,c_79193]) ).
tff(c_78559,plain,
( ( op(e3,e3) = e1 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_42]) ).
tff(c_78560,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_77369,c_78559]) ).
tff(c_77370,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_77364,c_120]) ).
tff(c_77340,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_114]) ).
tff(c_78542,plain,
( ( op(e2,e1) = e2 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77370,c_77340,c_14]) ).
tff(c_78543,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_78542]) ).
tff(c_78548,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78543,c_174]) ).
tff(c_78535,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78530,c_126]) ).
tff(c_77354,plain,
op(e1,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_124]) ).
tff(c_78750,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_78548,c_78535,c_77354,c_22]) ).
tff(c_78737,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78560,c_72711,c_332]) ).
tff(c_78738,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_78548,c_78737]) ).
tff(c_78781,plain,
( ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78560,c_72711,c_78750,c_78738,c_330]) ).
tff(c_78782,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_78781]) ).
tff(c_78783,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_78542]) ).
tff(c_79198,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79194,c_100]) ).
tff(c_79310,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79305,c_132]) ).
tff(c_79321,plain,
( ( op(e3,e1) = e0 )
| ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78783,c_78]) ).
tff(c_79322,plain,
( ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79310,c_202,c_79321]) ).
tff(c_79323,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_79322]) ).
tff(c_79360,plain,
( ( op(e3,e1) = e1 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79323,c_78783,c_74]) ).
tff(c_79361,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_79198,c_79360]) ).
tff(c_78787,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78783,c_170]) ).
tff(c_78534,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78530,c_160]) ).
tff(c_78790,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78783,c_112]) ).
tff(c_78817,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_77351,c_26]) ).
tff(c_78818,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_78817]) ).
tff(c_78798,plain,
( ( op(e3,e0) = e3 )
| ( op(e3,e0) = e2 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_77366,c_8]) ).
tff(c_78799,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_78798]) ).
tff(c_78805,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78799,c_104]) ).
tff(c_78852,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_78805,c_381,c_2]) ).
tff(c_78853,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_78852]) ).
tff(c_78884,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78818,c_77349,c_78853,c_38]) ).
tff(c_78885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_78790,c_198,c_78884]) ).
tff(c_78886,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_78852]) ).
tff(c_78801,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_78799,c_188]) ).
tff(c_78829,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_332]) ).
tff(c_78830,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_78805,c_200,c_78801,c_78829]) ).
tff(c_78788,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78783,c_178]) ).
tff(c_78900,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_78818,c_88]) ).
tff(c_78901,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_78788,c_198,c_202,c_78900]) ).
tff(c_78947,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78886,c_72711,c_78830,c_78901,c_300]) ).
tff(c_78948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_198,c_78947]) ).
tff(c_78949,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_78817]) ).
tff(c_78955,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78949,c_140]) ).
tff(c_78536,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_78530,c_130]) ).
tff(c_78977,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77364,c_78799,c_86]) ).
tff(c_78978,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_78955,c_78536,c_198,c_202,c_78977]) ).
tff(c_78979,plain,
( ( op(e3,e0) = e2 )
| ( op(e3,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_78798]) ).
tff(c_78981,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_78979]) ).
tff(c_78984,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_78981,c_188]) ).
tff(c_79012,plain,
op(e3,e3) != e2,
inference(negUnitSimplification,[status(thm)],[c_381,c_77354,c_78984,c_228]) ).
tff(c_79000,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_77351,c_26]) ).
tff(c_79001,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_79000]) ).
tff(c_79160,plain,
( ( op(e3,e3) = e2 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79001,c_77349,c_38]) ).
tff(c_79161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_78790,c_79012,c_79160]) ).
tff(c_79162,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_79000]) ).
tff(c_79167,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_79162,c_152]) ).
tff(c_79175,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78981,c_40]) ).
tff(c_79176,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_78787,c_78534,c_79167,c_79175]) ).
tff(c_79177,plain,
op(e3,e0) = e2,
inference(splitRight,[status(thm)],[c_78979]) ).
tff(c_79351,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79305,c_77364,c_79177,c_82]) ).
tff(c_79352,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_79351]) ).
tff(c_79383,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79194,c_72711,c_79361,c_79352,c_332]) ).
tff(c_79384,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_204,c_200,c_79383]) ).
tff(c_79385,plain,
op(e3,e1) = e0,
inference(splitRight,[status(thm)],[c_79322]) ).
tff(c_79413,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_78783,c_79385,c_74]) ).
tff(c_79414,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_68567,c_198,c_204,c_79413]) ).
tff(c_79435,plain,
( ( op(e0,e0) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79194,c_72711,c_79414,c_332]) ).
tff(c_79436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_204,c_79309,c_79435]) ).
tff(c_79437,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_79304]) ).
tff(c_79441,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79437,c_180]) ).
tff(c_79442,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79437,c_172]) ).
tff(c_79499,plain,
op(e3,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_79442,c_79198,c_78787,c_6]) ).
tff(c_79503,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_79499,c_176]) ).
tff(c_79205,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_77351,c_26]) ).
tff(c_79206,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_79205]) ).
tff(c_79283,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79206,c_77349,c_79194,c_38]) ).
tff(c_79284,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_78790,c_198,c_79283]) ).
tff(c_79285,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_79205]) ).
tff(c_79511,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e1) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_79285,c_84]) ).
tff(c_79512,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_79503,c_196,c_194,c_79511]) ).
tff(c_79534,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79512,c_68566,c_79285,c_96]) ).
tff(c_79535,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_79441,c_204,c_202,c_79534]) ).
tff(c_79536,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e3) = e1 ) ),
inference(splitRight,[status(thm)],[c_77363]) ).
tff(c_79538,plain,
op(e2,e3) = e1,
inference(splitLeft,[status(thm)],[c_79536]) ).
tff(c_79541,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_79538,c_146]) ).
tff(c_80353,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79541,c_381,c_2]) ).
tff(c_80354,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_80353]) ).
tff(c_80359,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80354,c_98]) ).
tff(c_79548,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68570,c_77338,c_20]) ).
tff(c_79549,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_79548]) ).
tff(c_79552,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_79549,c_160]) ).
tff(c_79926,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79541,c_381,c_2]) ).
tff(c_79927,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_79926]) ).
tff(c_79559,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( e3 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_294]) ).
tff(c_79560,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_79541,c_196,c_79559]) ).
tff(c_79561,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_79560]) ).
tff(c_79564,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_79541,c_381,c_2]) ).
tff(c_79565,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_79564]) ).
tff(c_79851,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79565,c_72711,c_300]) ).
tff(c_79852,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_79561,c_14800,c_79851]) ).
tff(c_79853,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_79564]) ).
tff(c_79912,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79853,c_72711,c_300]) ).
tff(c_79913,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_79561,c_14800,c_79912]) ).
tff(c_79915,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_79560]) ).
tff(c_80246,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79927,c_72711,c_79915,c_296]) ).
tff(c_80247,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_14800,c_80246]) ).
tff(c_80248,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_79926]) ).
tff(c_80291,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80248,c_98]) ).
tff(c_80333,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_79552,c_68568,c_80291,c_77337,c_4]) ).
tff(c_80334,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_79548]) ).
tff(c_80338,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80334,c_160]) ).
tff(c_80671,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80359,c_68568,c_80338,c_77337,c_4]) ).
tff(c_80672,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_80353]) ).
tff(c_80677,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80672,c_100]) ).
tff(c_80687,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80672,c_72711,c_294]) ).
tff(c_80688,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_80687]) ).
tff(c_80689,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_80688]) ).
tff(c_80693,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80672,c_72711,c_300]) ).
tff(c_80694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_80689,c_14800,c_80693]) ).
tff(c_80696,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_80688]) ).
tff(c_80704,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_80696,c_132]) ).
tff(c_79537,plain,
op(e2,e0) != e1,
inference(splitRight,[status(thm)],[c_77363]) ).
tff(c_80709,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_14800,c_80704,c_79537,c_90]) ).
tff(c_80725,plain,
( ( e2 = e0 )
| ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80709,c_80672,c_48]) ).
tff(c_80726,plain,
( ( op(e3,e2) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_80725]) ).
tff(c_80727,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_80726]) ).
tff(c_80732,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80727,c_102]) ).
tff(c_80809,plain,
( ( op(e3,e2) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_80334,c_72711,c_62]) ).
tff(c_80810,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_80732,c_80809]) ).
tff(c_80812,plain,
op(e3,e1) != e0,
inference(splitRight,[status(thm)],[c_80726]) ).
tff(c_80824,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80696,c_78]) ).
tff(c_80825,plain,
( ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_80812,c_80824]) ).
tff(c_80826,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_80825]) ).
tff(c_80831,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_80826,c_136]) ).
tff(c_80676,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_80672,c_152]) ).
tff(c_80923,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80831,c_28537,c_80676,c_77351,c_26]) ).
tff(c_80924,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_80825]) ).
tff(c_80943,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80696,c_80924,c_70]) ).
tff(c_80944,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_80677,c_80943]) ).
tff(c_80967,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80944,c_68566,c_84]) ).
tff(c_80968,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_77351,c_80967]) ).
tff(c_81030,plain,
( ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_80968,c_72711,c_80696,c_80968,c_316]) ).
tff(c_81031,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_81030]) ).
tff(c_81032,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_79536]) ).
tff(c_81037,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_81032,c_174]) ).
tff(c_81046,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_68570,c_77338,c_20]) ).
tff(c_81047,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_81046]) ).
tff(c_81051,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_81047,c_126]) ).
tff(c_81112,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_332]) ).
tff(c_81113,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_81051,c_81112]) ).
tff(c_81114,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_81113]) ).
tff(c_81124,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81114,c_72711,c_300]) ).
tff(c_81125,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_81037,c_14800,c_81124]) ).
tff(c_81127,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_81113]) ).
tff(c_81126,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_81113]) ).
tff(c_81141,plain,
( ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_72711,c_81126,c_330]) ).
tff(c_81142,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_81127,c_200,c_81051,c_81141]) ).
tff(c_81143,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_81046]) ).
tff(c_81147,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81143,c_160]) ).
tff(c_82169,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_68568,c_81147,c_77337,c_4]) ).
tff(c_81963,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_81964,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_81963]) ).
tff(c_81625,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_81626,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_81625]) ).
tff(c_81148,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_81143,c_126]) ).
tff(c_81654,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_81037,c_81148,c_77354,c_22]) ).
tff(c_81033,plain,
op(e2,e3) != e1,
inference(splitRight,[status(thm)],[c_79536]) ).
tff(c_81176,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_81177,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_81176]) ).
tff(c_81211,plain,
( ( e1 = e0 )
| ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_77349,c_81177,c_42]) ).
tff(c_81212,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28537,c_196,c_81033,c_204,c_81211]) ).
tff(c_81213,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_81176]) ).
tff(c_81215,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_81213]) ).
tff(c_81157,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_32]) ).
tff(c_81158,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_81157]) ).
tff(c_81244,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81215,c_81215,c_81158,c_228]) ).
tff(c_81245,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_77354,c_200,c_81244]) ).
tff(c_81246,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_81213]) ).
tff(c_81465,plain,
( ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81246,c_72711,c_81158,c_330]) ).
tff(c_81466,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_81465]) ).
tff(c_81607,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81246,c_72711,c_81466,c_81158,c_268]) ).
tff(c_81608,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_202,c_81607]) ).
tff(c_81609,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_81157]) ).
tff(c_81611,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_81609]) ).
tff(c_81672,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81626,c_72711,c_81654,c_81611,c_300]) ).
tff(c_81673,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_204,c_196,c_81672]) ).
tff(c_81674,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_81625]) ).
tff(c_81676,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_81674]) ).
tff(c_81719,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81676,c_72711,c_81611,c_300]) ).
tff(c_81720,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_81037,c_196,c_81719]) ).
tff(c_81721,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_81674]) ).
tff(c_81894,plain,
( ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81611,c_72711,c_81611,c_316]) ).
tff(c_81895,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_81894]) ).
tff(c_81943,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81721,c_72711,c_81895,c_81611,c_268]) ).
tff(c_81944,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_194,c_81943]) ).
tff(c_81945,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_81609]) ).
tff(c_81997,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_81964,c_72711,c_81945,c_300]) ).
tff(c_81998,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_81037,c_198,c_81997]) ).
tff(c_81999,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_81963]) ).
tff(c_82001,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_81999]) ).
tff(c_82039,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82001,c_72711,c_81945,c_300]) ).
tff(c_82040,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_81037,c_198,c_82039]) ).
tff(c_82041,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_81999]) ).
tff(c_334,plain,
( ( op(e2,e2) != e3 )
| ( op(op(e2,e2),op(e2,e2)) != e1 )
| ( op(op(e2,e2),e2) != e0 ) ),
inference(cnfTransformation,[status(thm)],[f_652]) ).
tff(c_82344,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_82169,c_72711,c_82041,c_72711,c_72711,c_72711,c_334]) ).
tff(c_82345,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_77348]) ).
tff(c_82360,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82345,c_72711,c_82345,c_284]) ).
tff(c_82361,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_14800,c_82360]) ).
tff(c_82362,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_72710]) ).
tff(c_83929,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_232]) ).
tff(c_83930,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_83929]) ).
tff(c_83931,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_83930]) ).
tff(c_82367,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_162]) ).
tff(c_82377,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_82367,c_72]) ).
tff(c_82378,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_82377]) ).
tff(c_82382,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82378,c_132]) ).
tff(c_82391,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_232]) ).
tff(c_82392,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_82391]) ).
tff(c_82393,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_82392]) ).
tff(c_82398,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_82393,c_381,c_2]) ).
tff(c_82399,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_82398]) ).
tff(c_82473,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82399,c_82362,c_300]) ).
tff(c_82474,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_82473]) ).
tff(c_82381,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82378,c_192]) ).
tff(c_82492,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_82381,c_32]) ).
tff(c_82493,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_82492]) ).
tff(c_82569,plain,
( ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82399,c_82362,c_82474,c_82493,c_296]) ).
tff(c_82570,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_82569]) ).
tff(c_82571,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_82492]) ).
tff(c_82609,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82399,c_82362,c_82474,c_82571,c_260]) ).
tff(c_82610,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_82609]) ).
tff(c_82611,plain,
op(e3,e3) = e2,
inference(splitRight,[status(thm)],[c_82398]) ).
tff(c_82616,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_152]) ).
tff(c_82894,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_82362,c_300]) ).
tff(c_82895,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_14800,c_82894]) ).
tff(c_82922,plain,
( ( op(e0,e0) = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_82362,c_82895,c_332]) ).
tff(c_82923,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_204,c_82922]) ).
tff(c_82928,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82923,c_140]) ).
tff(c_82633,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_82362,c_62]) ).
tff(c_82634,plain,
( ( op(e3,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_82633]) ).
tff(c_82635,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_82634]) ).
tff(c_82639,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82635,c_122]) ).
tff(c_82384,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82378,c_128]) ).
tff(c_82704,plain,
( ( op(e1,e3) = e3 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_82639,c_82384,c_18]) ).
tff(c_82705,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_82704]) ).
tff(c_82710,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_82705,c_124]) ).
tff(c_82718,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_82362,c_300]) ).
tff(c_82719,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_82710,c_14800,c_82718]) ).
tff(c_82720,plain,
op(e1,e3) = e3,
inference(splitRight,[status(thm)],[c_82704]) ).
tff(c_82725,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_82720,c_156]) ).
tff(c_82933,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82928,c_28537,c_82616,c_82725,c_26]) ).
tff(c_82934,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_82634]) ).
tff(c_82939,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82934,c_102]) ).
tff(c_82945,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_82939,c_78]) ).
tff(c_82946,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_82945]) ).
tff(c_82951,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_82946,c_144]) ).
tff(c_82957,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_82951,c_14800,c_82381,c_32]) ).
tff(c_83007,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82957,c_82946,c_68566,c_88]) ).
tff(c_83008,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_82616,c_83007]) ).
tff(c_83009,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_82945]) ).
tff(c_83011,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_83009]) ).
tff(c_83015,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83011,c_174]) ).
tff(c_82376,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_270]) ).
tff(c_83039,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_82611,c_228]) ).
tff(c_83040,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_82376,c_83039]) ).
tff(c_83050,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_82362,c_83040,c_332]) ).
tff(c_83051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_202,c_83015,c_200,c_83050]) ).
tff(c_83052,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_83009]) ).
tff(c_83217,plain,
( ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82611,c_82362,c_83052,c_83052,c_298]) ).
tff(c_83218,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_83217]) ).
tff(c_83220,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_82392]) ).
tff(c_83219,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_82392]) ).
tff(c_83321,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83220,c_82362,c_83219,c_260]) ).
tff(c_83322,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_82382,c_194,c_83321]) ).
tff(c_83323,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_82377]) ).
tff(c_83325,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_83323]) ).
tff(c_83337,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83325,c_46]) ).
tff(c_83338,plain,
( ( op(e3,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_83337]) ).
tff(c_83339,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_83338]) ).
tff(c_83343,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83339,c_152]) ).
tff(c_83345,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83339,c_136]) ).
tff(c_83411,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83345,c_78]) ).
tff(c_83412,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_83411]) ).
tff(c_83383,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_236]) ).
tff(c_83384,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_82376,c_83383]) ).
tff(c_83616,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_83412,c_83384,c_300]) ).
tff(c_83617,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_196,c_83616]) ).
tff(c_83741,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83617,c_82362,c_83412,c_83384,c_260]) ).
tff(c_83742,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_83741]) ).
tff(c_83744,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_83411]) ).
tff(c_83828,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_83384,c_300]) ).
tff(c_83829,plain,
( ( op(e1,e1) = e1 )
| ( op(e3,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_83828]) ).
tff(c_83830,plain,
op(e3,e3) = e1,
inference(splitLeft,[status(thm)],[c_83829]) ).
tff(c_83855,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83830,c_82362,c_83384,c_332]) ).
tff(c_83856,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_83744,c_200,c_83855]) ).
tff(c_83857,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_83829]) ).
tff(c_83876,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_83857,c_83384,c_332]) ).
tff(c_83877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83343,c_202,c_204,c_200,c_83876]) ).
tff(c_83878,plain,
( ( op(e2,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_83338]) ).
tff(c_83880,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_83878]) ).
tff(c_83914,plain,
( ( op(e1,e1) = e3 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83880,c_82362,c_83880,c_234]) ).
tff(c_83915,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_82376,c_83914]) ).
tff(c_83916,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_83878]) ).
tff(c_84325,plain,
( ( op(e3,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_83325,c_83916,c_42]) ).
tff(c_84326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_28537,c_198,c_204,c_83931,c_84325]) ).
tff(c_84328,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_83930]) ).
tff(c_83921,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_83916,c_112]) ).
tff(c_84352,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_83921,c_78]) ).
tff(c_84353,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_84352]) ).
tff(c_84358,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84353,c_180]) ).
tff(c_84327,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_83930]) ).
tff(c_84364,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84328,c_82362,c_84327,c_332]) ).
tff(c_84365,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_84358,c_200,c_84364]) ).
tff(c_84366,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_84352]) ).
tff(c_84368,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_84366]) ).
tff(c_84372,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84368,c_172]) ).
tff(c_83330,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_83325,c_124]) ).
tff(c_84386,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_84372,c_83330,c_82376,c_22]) ).
tff(c_84436,plain,
( ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84328,c_82362,c_84386,c_84327,c_260]) ).
tff(c_84437,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_84436]) ).
tff(c_84438,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_84366]) ).
tff(c_84491,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84328,c_82362,c_84438,c_84327,c_260]) ).
tff(c_84492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_194,c_84491]) ).
tff(c_84493,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_83323]) ).
tff(c_84496,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_84493,c_180]) ).
tff(c_84506,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_46]) ).
tff(c_84509,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_84506,c_152]) ).
tff(c_84517,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_232]) ).
tff(c_84518,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_84517]) ).
tff(c_84519,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_84518]) ).
tff(c_84531,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_84509,c_84519,c_381,c_2]) ).
tff(c_84557,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_82]) ).
tff(c_84593,plain,
( ( e3 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84531,c_84493,c_84493,c_84557,c_292]) ).
tff(c_84594,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_84593]) ).
tff(c_84596,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_82]) ).
tff(c_84610,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84531,c_84531,c_84493,c_228]) ).
tff(c_84611,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_84596,c_84610]) ).
tff(c_84612,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_84518]) ).
tff(c_84695,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84612,c_68566,c_84506,c_88]) ).
tff(c_84696,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_84496,c_198,c_202,c_84695]) ).
tff(c_84697,plain,
( ( op(e1,e3) = e0 )
| ( op(e2,e3) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_46]) ).
tff(c_84699,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_84697]) ).
tff(c_84786,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84699,c_84493,c_84493,c_292]) ).
tff(c_84787,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_14800,c_84786]) ).
tff(c_84789,plain,
op(e3,e3) != e0,
inference(splitRight,[status(thm)],[c_84697]) ).
tff(c_84805,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_232]) ).
tff(c_84806,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_84805]) ).
tff(c_84807,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_84806]) ).
tff(c_84811,plain,
op(e3,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_84789,c_84807,c_381,c_2]) ).
tff(c_84869,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84811,c_84493,c_84493,c_292]) ).
tff(c_84870,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_14800,c_84869]) ).
tff(c_84871,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_84806]) ).
tff(c_85048,plain,
( ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_84871,c_82362,c_84493,c_84871,c_316]) ).
tff(c_85049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_85048]) ).
tff(c_85051,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_270]) ).
tff(c_87195,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_85051,c_300]) ).
tff(c_87196,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_14800,c_87195]) ).
tff(c_82369,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_114]) ).
tff(c_85838,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_174]) ).
tff(c_86175,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_82369,c_85838,c_14]) ).
tff(c_86176,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_86175]) ).
tff(c_86180,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86176,c_178]) ).
tff(c_85836,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_180]) ).
tff(c_86608,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_86180,c_68567,c_85836,c_30]) ).
tff(c_86613,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86608,c_144]) ).
tff(c_85055,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_172]) ).
tff(c_85082,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_85055,c_381,c_36]) ).
tff(c_85083,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_85082]) ).
tff(c_85086,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85083,c_188]) ).
tff(c_85101,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_78]) ).
tff(c_85102,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_85101]) ).
tff(c_85103,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_85102]) ).
tff(c_85052,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_82367,c_72]) ).
tff(c_85053,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_85052]) ).
tff(c_85066,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85053,c_192]) ).
tff(c_85222,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85103,c_68566,c_88]) ).
tff(c_85223,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_85066,c_202,c_198,c_85222]) ).
tff(c_85263,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85103,c_68566,c_85223,c_84]) ).
tff(c_85264,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85086,c_200,c_196,c_194,c_85263]) ).
tff(c_85266,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_85102]) ).
tff(c_85054,plain,
op(e0,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_180]) ).
tff(c_85426,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_85266,c_68567,c_85054,c_30]) ).
tff(c_85432,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85426,c_136]) ).
tff(c_85068,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85053,c_128]) ).
tff(c_82368,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_110]) ).
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_85365,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e2) = e1 )
| ( op(e3,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85083,c_44]) ).
tff(c_85366,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_68568,c_85365]) ).
tff(c_85367,plain,
op(e3,e1) = e1,
inference(splitLeft,[status(thm)],[c_85366]) ).
tff(c_85371,plain,
op(e3,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85367,c_100]) ).
tff(c_85395,plain,
( ( op(e0,e0) = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_85051,c_300]) ).
tff(c_85396,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85371,c_198,c_196,c_14800,c_85395]) ).
tff(c_85397,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_85366]) ).
tff(c_85453,plain,
( ( e2 = e1 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85397,c_38]) ).
tff(c_85454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85432,c_85068,c_82368,c_198,c_85453]) ).
tff(c_85455,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_85082]) ).
tff(c_85795,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_82362,c_85455,c_62]) ).
tff(c_85796,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_85795]) ).
tff(c_85800,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85796,c_122]) ).
tff(c_85726,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_85727,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_85726]) ).
tff(c_85658,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e1,e2) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_82362,c_85455,c_62]) ).
tff(c_85659,plain,
op(e1,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_85658]) ).
tff(c_85663,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85659,c_122]) ).
tff(c_85467,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_85066,c_32]) ).
tff(c_85468,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_85467]) ).
tff(c_85473,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85468,c_144]) ).
tff(c_85536,plain,
op(e0,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_85473,c_68567,c_85054,c_30]) ).
tff(c_85541,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85536,c_136]) ).
tff(c_85499,plain,
( ( op(e3,e3) = e2 )
| ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_2]) ).
tff(c_85500,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_85499]) ).
tff(c_85503,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85500,c_148]) ).
tff(c_85059,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_124]) ).
tff(c_85549,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_85503,c_85068,c_85059,c_18]) ).
tff(c_85592,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85549,c_85500,c_38]) ).
tff(c_85593,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85541,c_198,c_82368,c_202,c_85592]) ).
tff(c_85594,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_85499]) ).
tff(c_85596,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_85594]) ).
tff(c_85654,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85596,c_82362,c_85051,c_85468,c_300]) ).
tff(c_85655,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_196,c_204,c_85654]) ).
tff(c_85656,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_85594]) ).
tff(c_85672,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85656,c_148]) ).
tff(c_85694,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85663,c_85672,c_85068,c_85059,c_18]) ).
tff(c_85695,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_85467]) ).
tff(c_85742,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85727,c_82362,c_85051,c_85695,c_300]) ).
tff(c_85743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_196,c_85742]) ).
tff(c_85744,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_85726]) ).
tff(c_85746,plain,
op(e3,e3) = e2,
inference(splitLeft,[status(thm)],[c_85744]) ).
tff(c_85779,plain,
( ( e3 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85746,c_82362,c_85051,c_85695,c_300]) ).
tff(c_85780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_198,c_196,c_196,c_85779]) ).
tff(c_85781,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_85744]) ).
tff(c_85786,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_85781,c_148]) ).
tff(c_85833,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85800,c_85786,c_85068,c_85059,c_18]) ).
tff(c_85834,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_85052]) ).
tff(c_86148,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_85834]) ).
tff(c_86149,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_86148]) ).
tff(c_86152,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86149,c_156]) ).
tff(c_85846,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e3) = e2 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_28537,c_26]) ).
tff(c_85847,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_85846]) ).
tff(c_85850,plain,
op(e3,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_85847,c_152]) ).
tff(c_85888,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 )
| ( e3 = e2 )
| ( op(e3,e3) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_232]) ).
tff(c_85889,plain,
( ( op(e0,e0) = e3 )
| ( op(e3,e3) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_381,c_194,c_85888]) ).
tff(c_85890,plain,
op(e3,e3) != e1,
inference(splitLeft,[status(thm)],[c_85889]) ).
tff(c_85858,plain,
( ( e3 = e2 )
| ( op(e1,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_85834]) ).
tff(c_85859,plain,
op(e1,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_85858]) ).
tff(c_85862,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_85859,c_148]) ).
tff(c_86019,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_85850,c_85890,c_85862,c_381,c_2]) ).
tff(c_86020,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_85889]) ).
tff(c_86144,plain,
( ( e3 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86020,c_82362,c_85051,c_86020,c_316]) ).
tff(c_86145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_86144]) ).
tff(c_86146,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e3 ) ),
inference(splitRight,[status(thm)],[c_85846]) ).
tff(c_86162,plain,
op(e0,e3) = e3,
inference(negUnitSimplification,[status(thm)],[c_86152,c_86146]) ).
tff(c_86168,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86162,c_140]) ).
tff(c_86618,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_14800,c_86613,c_86168,c_32]) ).
tff(c_86622,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86618,c_188]) ).
tff(c_86179,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86176,c_170]) ).
tff(c_82366,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_158]) ).
tff(c_85837,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_172]) ).
tff(c_86197,plain,
( ( op(e3,e2) = e3 )
| ( op(e3,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_85837,c_381,c_36]) ).
tff(c_86198,plain,
op(e3,e0) = e3,
inference(splitLeft,[status(thm)],[c_86197]) ).
tff(c_86209,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_86168,c_32]) ).
tff(c_86210,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_86209]) ).
tff(c_86232,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( op(e3,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_85051,c_86210,c_300]) ).
tff(c_86233,plain,
op(e3,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_196,c_204,c_86232]) ).
tff(c_86255,plain,
( ( e2 = e1 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86198,c_86233,c_40]) ).
tff(c_86256,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_82366,c_198,c_86255]) ).
tff(c_86260,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86256,c_176]) ).
tff(c_86273,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86210,c_68566,c_86162,c_88]) ).
tff(c_86274,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_86260,c_198,c_194,c_86273]) ).
tff(c_86275,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_86209]) ).
tff(c_86281,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86275,c_144]) ).
tff(c_86451,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86180,c_68567,c_86281,c_85836,c_30]) ).
tff(c_86452,plain,
op(e3,e2) = e3,
inference(splitRight,[status(thm)],[c_86197]) ).
tff(c_86151,plain,
op(e3,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_86149,c_148]) ).
tff(c_86468,plain,
( ( op(e3,e3) = e1 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_86151,c_381,c_2]) ).
tff(c_86469,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_86468]) ).
tff(c_86479,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_14800,c_86168,c_32]) ).
tff(c_86480,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_86479]) ).
tff(c_86514,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86469,c_82362,c_85051,c_86480,c_300]) ).
tff(c_86515,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_204,c_86514]) ).
tff(c_86516,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_86479]) ).
tff(c_86580,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86469,c_82362,c_85051,c_86516,c_300]) ).
tff(c_86581,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_196,c_198,c_86580]) ).
tff(c_86582,plain,
op(e3,e3) = e1,
inference(splitRight,[status(thm)],[c_86468]) ).
tff(c_86667,plain,
( ( e1 = e0 )
| ( e3 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86452,c_86582,c_48]) ).
tff(c_86668,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86622,c_86179,c_200,c_204,c_86667]) ).
tff(c_86669,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_86175]) ).
tff(c_86684,plain,
( ( op(e3,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e0 )
| ( op(e0,e1) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85051,c_86669,c_78]) ).
tff(c_86685,plain,
( ( op(e3,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_86684]) ).
tff(c_86686,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_86685]) ).
tff(c_86690,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86686,c_144]) ).
tff(c_86695,plain,
( ( op(e0,e0) = e0 )
| ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_82362,c_85051,c_332]) ).
tff(c_86696,plain,
( ( op(e0,e0) = e0 )
| ( op(e3,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_86695]) ).
tff(c_86697,plain,
op(e3,e3) = e0,
inference(splitLeft,[status(thm)],[c_86696]) ).
tff(c_86703,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_86697,c_146]) ).
tff(c_86675,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_86669,c_112]) ).
tff(c_86166,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_86162,c_154]) ).
tff(c_86838,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86703,c_86675,c_82368,c_86166,c_10]) ).
tff(c_86839,plain,
op(e0,e0) = e0,
inference(splitRight,[status(thm)],[c_86696]) ).
tff(c_86843,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86690,c_86839]) ).
tff(c_86845,plain,
op(e0,e1) != e0,
inference(splitRight,[status(thm)],[c_86685]) ).
tff(c_87064,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_68566,c_86162,c_88]) ).
tff(c_87065,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_87064]) ).
tff(c_87066,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_87065]) ).
tff(c_87152,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e0,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87066,c_68566,c_86162,c_96]) ).
tff(c_87153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_86845,c_204,c_200,c_87152]) ).
tff(c_87154,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_87065]) ).
tff(c_87246,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( op(e0,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87154,c_68566,c_86162,c_96]) ).
tff(c_87247,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_87246]) ).
tff(c_87325,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87196,c_82362,c_85051,c_87247,c_330]) ).
tff(c_87326,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_87325]) ).
tff(c_87328,plain,
op(e3,e3) = e3,
inference(splitRight,[status(thm)],[c_212]) ).
tff(c_87339,plain,
op(e1,e1) != e3,
inference(splitLeft,[status(thm)],[c_284]) ).
tff(c_87342,plain,
op(e2,e0) = e0,
inference(splitLeft,[status(thm)],[c_16]) ).
tff(c_87343,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_182]) ).
tff(c_87911,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_87915,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87911,c_132]) ).
tff(c_87347,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_118]) ).
tff(c_87353,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_12]) ).
tff(c_87354,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87347,c_87353]) ).
tff(c_87355,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e2) = e2 )
| ( op(e2,e2) = e3 ) ),
inference(splitRight,[status(thm)],[c_12]) ).
tff(c_87358,plain,
op(e2,e2) = e3,
inference(splitLeft,[status(thm)],[c_87355]) ).
tff(c_87333,plain,
op(e3,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_104]) ).
tff(c_87954,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87911,c_87342,c_82]) ).
tff(c_87955,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_87333,c_87954]) ).
tff(c_87972,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_87955,c_268]) ).
tff(c_87973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_87915,c_194,c_87972]) ).
tff(c_87974,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_87976,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_87974]) ).
tff(c_87981,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87976,c_124]) ).
tff(c_88027,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_268]) ).
tff(c_88028,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_87981,c_88027]) ).
tff(c_88031,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88028,c_188]) ).
tff(c_87369,plain,
( ( op(e2,e3) = e1 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_87358,c_60]) ).
tff(c_87370,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_87369]) ).
tff(c_87371,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_87370]) ).
tff(c_87379,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_87371,c_174]) ).
tff(c_87345,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_190]) ).
tff(c_87712,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e0) != e1 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_328]) ).
tff(c_87713,plain,
op(e0,e0) != e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_87345,c_87712]) ).
tff(c_87385,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_72]) ).
tff(c_87389,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87385,c_132]) ).
tff(c_87388,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87385,c_192]) ).
tff(c_87458,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_268]) ).
tff(c_87459,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_87389,c_87388,c_87458]) ).
tff(c_87460,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_72]) ).
tff(c_87462,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_87460]) ).
tff(c_87465,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_87462,c_150]) ).
tff(c_87503,plain,
( ( op(e2,e3) = e2 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_87371,c_87358,c_56]) ).
tff(c_87504,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_194,c_87465,c_87503]) ).
tff(c_87505,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_87460]) ).
tff(c_87507,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_87505]) ).
tff(c_87724,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87507,c_87507,c_292]) ).
tff(c_87725,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_87713,c_87724]) ).
tff(c_87727,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_87505]) ).
tff(c_87825,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_268]) ).
tff(c_87826,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_87727,c_87825]) ).
tff(c_87898,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_87826,c_300]) ).
tff(c_87899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_87379,c_198,c_87898]) ).
tff(c_87900,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_87370]) ).
tff(c_88006,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e2,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_87358,c_87900,c_56]) ).
tff(c_88007,plain,
op(e2,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_88006]) ).
tff(c_88011,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88007,c_170]) ).
tff(c_88041,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_88042,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_88031,c_88011,c_194,c_88041]) ).
tff(c_88058,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88042,c_87328,c_48]) ).
tff(c_88059,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_87343,c_202,c_200,c_88058]) ).
tff(c_88063,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88059,c_172]) ).
tff(c_88149,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88028,c_88028,c_324]) ).
tff(c_88150,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_88063,c_202,c_88149]) ).
tff(c_88152,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_87974]) ).
tff(c_88520,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87900,c_87328,c_46]) ).
tff(c_88521,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_88520]) ).
tff(c_88522,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_88521]) ).
tff(c_88636,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e1,e3) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88522,c_87900,c_87328,c_38]) ).
tff(c_88637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_88152,c_198,c_194,c_88636]) ).
tff(c_88638,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_88521]) ).
tff(c_88644,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88638,c_124]) ).
tff(c_88676,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_87358,c_332]) ).
tff(c_88677,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_88644,c_87345,c_88676]) ).
tff(c_88678,plain,
( ( op(e2,e2) = e2 )
| ( op(e2,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_87355]) ).
tff(c_90415,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_88678]) ).
tff(c_87346,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_116]) ).
tff(c_90418,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90415,c_166]) ).
tff(c_90667,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_90415,c_90415,c_264]) ).
tff(c_90668,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_90667]) ).
tff(c_90672,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90668,c_142]) ).
tff(c_88692,plain,
op(e2,e2) = e1,
inference(splitLeft,[status(thm)],[c_88678]) ).
tff(c_89872,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_88692,c_264]) ).
tff(c_89873,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_89872]) ).
tff(c_89879,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89873,c_144]) ).
tff(c_87332,plain,
op(e3,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_98]) ).
tff(c_88695,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88692,c_166]) ).
tff(c_87330,plain,
op(e1,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_148]) ).
tff(c_88680,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_87339,c_87330,c_68]) ).
tff(c_88681,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_88680]) ).
tff(c_88704,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88681,c_72]) ).
tff(c_88705,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_88704]) ).
tff(c_88706,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_88705]) ).
tff(c_88742,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_88692,c_264]) ).
tff(c_88743,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_88742]) ).
tff(c_88841,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_88706,c_88743,c_332]) ).
tff(c_88842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_202,c_88841]) ).
tff(c_88844,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_88705]) ).
tff(c_88686,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88681,c_130]) ).
tff(c_89211,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_268]) ).
tff(c_89212,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_88844,c_89211]) ).
tff(c_89216,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89212,c_142]) ).
tff(c_88845,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_88974,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_268]) ).
tff(c_88975,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_88844,c_88974]) ).
tff(c_88978,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88975,c_188]) ).
tff(c_88696,plain,
op(e3,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88692,c_158]) ).
tff(c_88847,plain,
op(e3,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_88845,c_176]) ).
tff(c_88843,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_88705]) ).
tff(c_88856,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_88843]) ).
tff(c_88860,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88856,c_122]) ).
tff(c_88895,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88692,c_50]) ).
tff(c_88896,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_88686,c_196,c_87332,c_88895]) ).
tff(c_88931,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e1 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88896,c_88692,c_54]) ).
tff(c_88932,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_88860,c_198,c_88931]) ).
tff(c_88868,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_268]) ).
tff(c_88869,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_88844,c_88868]) ).
tff(c_88872,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88869,c_188]) ).
tff(c_88918,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_88919,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_88872,c_194,c_88918]) ).
tff(c_88920,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_88919]) ).
tff(c_88925,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88920,c_102]) ).
tff(c_88942,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_88932,c_88925]) ).
tff(c_88943,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_88919]) ).
tff(c_88960,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88943,c_87328,c_48]) ).
tff(c_88961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_87343,c_88847,c_202,c_200,c_88960]) ).
tff(c_88962,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_88843]) ).
tff(c_88967,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_88962,c_160]) ).
tff(c_89002,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_88696,c_88967,c_87332,c_4]) ).
tff(c_89028,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89002,c_87328,c_40]) ).
tff(c_89029,plain,
op(e3,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_88978,c_202,c_194,c_89028]) ).
tff(c_89081,plain,
( ( e3 = e2 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88845,c_89029,c_66]) ).
tff(c_89082,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_87339,c_194,c_89081]) ).
tff(c_89144,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88845,c_89082,c_89029,c_74]) ).
tff(c_89145,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_89144]) ).
tff(c_220,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e3,e3) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_89161,plain,
( ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_89145,c_88975,c_220]) ).
tff(c_89162,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_89161]) ).
tff(c_89163,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_89175,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_89163]) ).
tff(c_89181,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89175,c_138]) ).
tff(c_89231,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_88695,c_89216,c_89181,c_28]) ).
tff(c_89235,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89231,c_164]) ).
tff(c_89215,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89212,c_188]) ).
tff(c_89241,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_87343,c_89215,c_87333,c_8]) ).
tff(c_89253,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89241,c_87328,c_40]) ).
tff(c_89254,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_89253]) ).
tff(c_89255,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_89254]) ).
tff(c_89269,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89241,c_89255,c_87328,c_48]) ).
tff(c_89270,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_89235,c_200,c_89269]) ).
tff(c_89271,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_89254]) ).
tff(c_89300,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89231,c_88692,c_89271,c_50]) ).
tff(c_89301,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_88686,c_196,c_194,c_89300]) ).
tff(c_89302,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_89163]) ).
tff(c_89316,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_89302]) ).
tff(c_89321,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89316,c_180]) ).
tff(c_88697,plain,
op(e1,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_88692,c_162]) ).
tff(c_89165,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_88843]) ).
tff(c_89469,plain,
( ( e2 = e1 )
| ( op(e1,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_88681,c_89165,c_76]) ).
tff(c_89470,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_89321,c_88697,c_198,c_89469]) ).
tff(c_89471,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_89302]) ).
tff(c_89479,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89471,c_144]) ).
tff(c_89508,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_268]) ).
tff(c_89509,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_88844,c_89479,c_89508]) ).
tff(c_89510,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_88843]) ).
tff(c_89514,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89510,c_168]) ).
tff(c_87329,plain,
op(e0,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_152]) ).
tff(c_89522,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_87329,c_26]) ).
tff(c_89523,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_89522]) ).
tff(c_89529,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89523,c_134]) ).
tff(c_89534,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_89163]) ).
tff(c_89540,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89534,c_138]) ).
tff(c_89556,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89529,c_88695,c_89514,c_89540,c_28]) ).
tff(c_89557,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_89163]) ).
tff(c_89559,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_89557]) ).
tff(c_89564,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89559,c_180]) ).
tff(c_89670,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_89564,c_88844,c_87339,c_22]) ).
tff(c_89576,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_88692,c_264]) ).
tff(c_89577,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_89576]) ).
tff(c_89742,plain,
( ( e3 = e2 )
| ( e3 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_89670,c_89577,c_220]) ).
tff(c_89743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_200,c_194,c_89742]) ).
tff(c_89744,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_89557]) ).
tff(c_89752,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89744,c_144]) ).
tff(c_89761,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_88692,c_264]) ).
tff(c_89762,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_89752,c_89761]) ).
tff(c_89763,plain,
( ( op(e0,e3) = e1 )
| ( op(e0,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_89522]) ).
tff(c_89765,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_89763]) ).
tff(c_89770,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89765,c_140]) ).
tff(c_89811,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_88692,c_268]) ).
tff(c_89812,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_88844,c_89770,c_89811]) ).
tff(c_89813,plain,
op(e0,e3) = e1,
inference(splitRight,[status(thm)],[c_89763]) ).
tff(c_89821,plain,
op(e0,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_89813,c_136]) ).
tff(c_89827,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_89821,c_89163]) ).
tff(c_89828,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_89827]) ).
tff(c_89835,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_89828,c_138]) ).
tff(c_89852,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_88695,c_89514,c_89835,c_28]) ).
tff(c_89867,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_89852,c_89510,c_88692,c_50]) ).
tff(c_89868,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_87332,c_89867]) ).
tff(c_89869,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_89827]) ).
tff(c_89884,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_89879,c_89869]) ).
tff(c_89885,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_88678]) ).
tff(c_89891,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_89885,c_162]) ).
tff(c_89902,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_89891,c_88686,c_20]) ).
tff(c_89903,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_89902]) ).
tff(c_89909,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_89903,c_126]) ).
tff(c_88684,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_88681,c_192]) ).
tff(c_89943,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_89885,c_260]) ).
tff(c_89944,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_89943]) ).
tff(c_89945,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_89944]) ).
tff(c_90036,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_89885,c_89945,c_220]) ).
tff(c_90037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_88684,c_90036]) ).
tff(c_90038,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_89944]) ).
tff(c_90100,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_90038,c_90038,c_324]) ).
tff(c_90101,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_89909,c_202,c_90100]) ).
tff(c_90102,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_89902]) ).
tff(c_90109,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90102,c_126]) ).
tff(c_90378,plain,
( ( op(e0,e0) = e0 )
| ( op(e0,e0) != e1 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_89885,c_328]) ).
tff(c_90379,plain,
op(e0,e0) != e1,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_87345,c_90378]) ).
tff(c_90401,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_89885,c_300]) ).
tff(c_90402,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_90109,c_90379,c_90401]) ).
tff(c_90403,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_88680]) ).
tff(c_90405,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_168]) ).
tff(c_90679,plain,
op(e0,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_90418,c_90672,c_90405,c_28]) ).
tff(c_90684,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90679,c_134]) ).
tff(c_90426,plain,
( ( op(e1,e3) = e2 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_72]) ).
tff(c_90427,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_90426]) ).
tff(c_90428,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_90427]) ).
tff(c_90433,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90428,c_132]) ).
tff(c_90432,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90428,c_192]) ).
tff(c_90480,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_90415,c_268]) ).
tff(c_90481,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_90433,c_90432,c_90480]) ).
tff(c_90482,plain,
( ( op(e1,e1) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_90427]) ).
tff(c_90644,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_90482]) ).
tff(c_90646,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90644,c_156]) ).
tff(c_90700,plain,
op(e0,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_90684,c_90646,c_87329,c_26]) ).
tff(c_90812,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90700,c_90644,c_87328,c_46]) ).
tff(c_90813,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_87346,c_200,c_90812]) ).
tff(c_90814,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_90482]) ).
tff(c_90421,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_90415,c_114]) ).
tff(c_90817,plain,
op(e0,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90814,c_180]) ).
tff(c_90484,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_90489,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_90484,c_138]) ).
tff(c_90614,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_90415,c_90415,c_264]) ).
tff(c_90615,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_90614]) ).
tff(c_90619,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90615,c_142]) ).
tff(c_90640,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_90489,c_90418,c_90619,c_90405,c_28]) ).
tff(c_90641,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_90826,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_90817,c_90641]) ).
tff(c_90827,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_90826]) ).
tff(c_90840,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_90415,c_90415,c_264]) ).
tff(c_90841,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_90840]) ).
tff(c_90843,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90841,c_188]) ).
tff(c_90862,plain,
op(e3,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_87343,c_90843,c_87333,c_8]) ).
tff(c_90818,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_90814,c_172]) ).
tff(c_90883,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90862,c_87328,c_40]) ).
tff(c_90884,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_90818,c_194,c_90883]) ).
tff(c_90936,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e3,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90862,c_90884,c_87328,c_48]) ).
tff(c_90937,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_200,c_90936]) ).
tff(c_90978,plain,
( ( e1 = e0 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90827,c_90814,c_90937,c_74]) ).
tff(c_90979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_90421,c_204,c_90978]) ).
tff(c_90980,plain,
op(e0,e1) = e1,
inference(splitRight,[status(thm)],[c_90826]) ).
tff(c_90994,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90980,c_84]) ).
tff(c_90995,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_90405,c_87329,c_90994]) ).
tff(c_91027,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_90415,c_90814,c_90995,c_332]) ).
tff(c_91028,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_200,c_91027]) ).
tff(c_91029,plain,
op(e2,e2) = e2,
inference(splitRight,[status(thm)],[c_88678]) ).
tff(c_91036,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91029,c_114]) ).
tff(c_91046,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_91036,c_70]) ).
tff(c_91047,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_91046]) ).
tff(c_91049,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91047,c_176]) ).
tff(c_91050,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91047,c_180]) ).
tff(c_91074,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_91029,c_62]) ).
tff(c_91075,plain,
( ( op(e3,e2) = e0 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_91074]) ).
tff(c_91076,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_91075]) ).
tff(c_91131,plain,
( ( op(e0,e3) = e3 )
| ( e3 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91047,c_91076,c_84]) ).
tff(c_91132,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_87329,c_91131]) ).
tff(c_91160,plain,
( ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_91029,c_91132,c_260]) ).
tff(c_91161,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_91050,c_91160]) ).
tff(c_91162,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_91075]) ).
tff(c_91264,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91162,c_87328,c_40]) ).
tff(c_91265,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_91049,c_202,c_194,c_91264]) ).
tff(c_91269,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91265,c_184]) ).
tff(c_91201,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91162,c_87328,c_40]) ).
tff(c_91202,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_91049,c_202,c_194,c_91201]) ).
tff(c_91206,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91202,c_184]) ).
tff(c_91062,plain,
( ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e2,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_91029,c_60]) ).
tff(c_91063,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_198,c_91062]) ).
tff(c_91064,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_91063]) ).
tff(c_91069,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91064,c_112]) ).
tff(c_91185,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_46]) ).
tff(c_91186,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_87346,c_200,c_91185]) ).
tff(c_91187,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91186]) ).
tff(c_91237,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91187,c_87328,c_42]) ).
tff(c_91238,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_91069,c_196,c_91237]) ).
tff(c_91248,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_91238,c_72]) ).
tff(c_91249,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91206,c_91050,c_194,c_198,c_91248]) ).
tff(c_91250,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_91186]) ).
tff(c_91314,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e1,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_91250,c_72]) ).
tff(c_91315,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91269,c_91050,c_194,c_202,c_91314]) ).
tff(c_91316,plain,
op(e2,e3) = e1,
inference(splitRight,[status(thm)],[c_91063]) ).
tff(c_91353,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91316,c_87328,c_46]) ).
tff(c_91354,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_91353]) ).
tff(c_91355,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91354]) ).
tff(c_91361,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91355,c_134]) ).
tff(c_91369,plain,
( ( e3 = e0 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91047,c_91355,c_84]) ).
tff(c_91370,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_90405,c_200,c_91369]) ).
tff(c_91380,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_91029,c_91370,c_300]) ).
tff(c_91381,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_196,c_91380]) ).
tff(c_91384,plain,
op(e3,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91381,c_172]) ).
tff(c_87331,plain,
op(e3,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_100]) ).
tff(c_91394,plain,
op(e3,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_91384,c_91049,c_87331,c_6]) ).
tff(c_91399,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91394,c_102]) ).
tff(c_91438,plain,
( ( op(e3,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_91029,c_58]) ).
tff(c_91439,plain,
( ( op(e3,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_91438]) ).
tff(c_91440,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_91439]) ).
tff(c_91464,plain,
( ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91440,c_90403,c_91029,c_62]) ).
tff(c_91465,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_91399,c_91464]) ).
tff(c_91466,plain,
op(e3,e2) = e1,
inference(splitRight,[status(thm)],[c_91439]) ).
tff(c_91491,plain,
( ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( op(e0,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_90403,c_91029,c_91466,c_62]) ).
tff(c_91492,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91361,c_200,c_202,c_204,c_91491]) ).
tff(c_91494,plain,
op(e0,e3) != e0,
inference(splitRight,[status(thm)],[c_91354]) ).
tff(c_91321,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_91316,c_154]) ).
tff(c_91053,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91047,c_136]) ).
tff(c_91587,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91494,c_91321,c_91053,c_87329,c_26]) ).
tff(c_91589,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_91046]) ).
tff(c_90404,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_88680]) ).
tff(c_91590,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e0 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87342,c_82]) ).
tff(c_91591,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_90404,c_200,c_87333,c_91590]) ).
tff(c_91033,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91029,c_166]) ).
tff(c_91640,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_46]) ).
tff(c_91641,plain,
( ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_87346,c_200,c_91640]) ).
tff(c_91642,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_91641]) ).
tff(c_91698,plain,
( ( e1 = e0 )
| ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91591,c_91642,c_92]) ).
tff(c_91699,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_91698]) ).
tff(c_91700,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_91699]) ).
tff(c_91723,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91591,c_91700,c_91642,c_88]) ).
tff(c_91724,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_91033,c_202,c_91723]) ).
tff(c_91725,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_91699]) ).
tff(c_91752,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e0,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91591,c_91725,c_91642,c_88]) ).
tff(c_91753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_91589,c_198,c_202,c_91752]) ).
tff(c_91754,plain,
op(e1,e3) = e0,
inference(splitRight,[status(thm)],[c_91641]) ).
tff(c_91759,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_91754,c_124]) ).
tff(c_91900,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_91029,c_91591,c_332]) ).
tff(c_91901,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_91759,c_200,c_91900]) ).
tff(c_91902,plain,
( ( op(e2,e0) = e1 )
| ( op(e2,e0) = e2 )
| ( op(e2,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_16]) ).
tff(c_91904,plain,
op(e2,e0) = e3,
inference(splitLeft,[status(thm)],[c_91902]) ).
tff(c_91910,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_118]) ).
tff(c_91908,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_190]) ).
tff(c_91920,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_91923,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91920,c_180]) ).
tff(c_91924,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_91920,c_144]) ).
tff(c_92186,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_92187,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_91923,c_91924,c_92186]) ).
tff(c_92256,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_92187,c_220]) ).
tff(c_92257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_87339,c_91908,c_92256]) ).
tff(c_92258,plain,
( ( op(e1,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_92260,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_92258]) ).
tff(c_92264,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92260,c_172]) ).
tff(c_92262,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92260,c_170]) ).
tff(c_92271,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( op(e2,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_56]) ).
tff(c_92272,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_92262,c_92271]) ).
tff(c_92273,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_92272]) ).
tff(c_92611,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_92273,c_298]) ).
tff(c_92612,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_92611]) ).
tff(c_92613,plain,
op(e1,e1) != e0,
inference(splitLeft,[status(thm)],[c_92612]) ).
tff(c_92721,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_92273,c_330]) ).
tff(c_92722,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_92613,c_92721]) ).
tff(c_92740,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_92273,c_332]) ).
tff(c_92741,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_92613,c_92722,c_92740]) ).
tff(c_92743,plain,
op(e1,e1) = e0,
inference(splitRight,[status(thm)],[c_92612]) ).
tff(c_92742,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_92612]) ).
tff(c_92754,plain,
e1 = e0,
inference(demodulation,[status(thm),theory(equality)],[c_92743,c_92742]) ).
tff(c_92756,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_204,c_92754]) ).
tff(c_92758,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_92272]) ).
tff(c_318,plain,
( ( op(e0,e0) != e0 )
| ( op(e0,e0) != e1 )
| ( op(e0,e0) != e2 )
| ( op(e3,e3) = e0 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_93212,plain,
( ( op(e0,e0) != e0 )
| ( op(e0,e0) != e1 )
| ( op(e0,e0) != e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_318]) ).
tff(c_93213,plain,
( ( op(e0,e0) != e0 )
| ( op(e0,e0) != e1 )
| ( op(e0,e0) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_93212]) ).
tff(c_93214,plain,
op(e0,e0) != e2,
inference(splitLeft,[status(thm)],[c_93213]) ).
tff(c_93235,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_93236,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_92758,c_92264,c_93214,c_93235]) ).
tff(c_93238,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_93213]) ).
tff(c_93252,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_93238,c_142]) ).
tff(c_92265,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92260,c_102]) ).
tff(c_91911,plain,
op(e2,e1) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_120]) ).
tff(c_92958,plain,
( ( op(e2,e1) = e1 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_92262,c_91911,c_14]) ).
tff(c_92959,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_92958]) ).
tff(c_92963,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92959,c_174]) ).
tff(c_91907,plain,
op(e1,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_186]) ).
tff(c_92782,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e1 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_91907,c_24]) ).
tff(c_92783,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_92782]) ).
tff(c_92785,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92783,c_184]) ).
tff(c_92771,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_62]) ).
tff(c_92772,plain,
op(e3,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_92771,c_164]) ).
tff(c_92799,plain,
( ( e3 = e0 )
| ( op(e3,e2) = e0 )
| ( e2 = e0 )
| ( op(e3,e0) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_92260,c_87328,c_48]) ).
tff(c_92800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92785,c_202,c_92772,c_200,c_92799]) ).
tff(c_92801,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 ) ),
inference(splitRight,[status(thm)],[c_92782]) ).
tff(c_92805,plain,
op(e1,e0) = e2,
inference(splitLeft,[status(thm)],[c_92801]) ).
tff(c_92809,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_92805,c_192]) ).
tff(c_92834,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_92835,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_92758,c_92264,c_92809,c_92834]) ).
tff(c_92836,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_92801]) ).
tff(c_92843,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_92836,c_132]) ).
tff(c_93022,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_92963,c_92843,c_92264,c_87339,c_22]) ).
tff(c_93023,plain,
op(e2,e1) = e1,
inference(splitRight,[status(thm)],[c_92958]) ).
tff(c_93029,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93023,c_114]) ).
tff(c_92945,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_92946,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_92758,c_92264,c_92945]) ).
tff(c_93044,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_92946,c_300]) ).
tff(c_93045,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_93029,c_92843,c_198,c_93044]) ).
tff(c_93046,plain,
( ( op(e1,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e3,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_62]) ).
tff(c_93048,plain,
op(e3,e2) = e0,
inference(splitLeft,[status(thm)],[c_93046]) ).
tff(c_93052,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_93048,c_158]) ).
tff(c_93088,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_93052,c_92758,c_91910,c_12]) ).
tff(c_92757,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_92272]) ).
tff(c_93076,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_92757,c_60]) ).
tff(c_93077,plain,
( ( op(e2,e2) = e1 )
| ( op(e2,e1) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_93076]) ).
tff(c_93078,plain,
op(e2,e1) = e1,
inference(splitLeft,[status(thm)],[c_93077]) ).
tff(c_93083,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_93078,c_114]) ).
tff(c_93099,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_93088,c_93083]) ).
tff(c_93100,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_93077]) ).
tff(c_93064,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_93065,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_92758,c_92264,c_93064]) ).
tff(c_93207,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_93100,c_93065,c_220]) ).
tff(c_93208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_87339,c_194,c_93207]) ).
tff(c_93209,plain,
( ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 ) ),
inference(splitRight,[status(thm)],[c_93046]) ).
tff(c_93211,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_93209]) ).
tff(c_93266,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e2) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93211,c_54]) ).
tff(c_93267,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_93252,c_202,c_92758,c_92265,c_93266]) ).
tff(c_93268,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_93209]) ).
tff(c_93378,plain,
( ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_93268,c_93268,c_266]) ).
tff(c_93379,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_92264,c_93378]) ).
tff(c_93380,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_92258]) ).
tff(c_93393,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_93380]) ).
tff(c_94155,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e2 )
| ( op(e2,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_93393,c_220]) ).
tff(c_94156,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_91910,c_194,c_91908,c_94155]) ).
tff(c_94157,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_93380]) ).
tff(c_94164,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94157,c_114]) ).
tff(c_94158,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_93380]) ).
tff(c_94361,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_94362,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_94164,c_94158,c_94361]) ).
tff(c_94365,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94362,c_188]) ).
tff(c_93381,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_92258]) ).
tff(c_93382,plain,
op(e1,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_91907,c_87339,c_87330,c_68]) ).
tff(c_94180,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e2) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_93382,c_58]) ).
tff(c_94181,plain,
( ( op(e3,e2) = e1 )
| ( op(e2,e2) = e1 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_94180]) ).
tff(c_94182,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_94181]) ).
tff(c_94185,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94182,c_166]) ).
tff(c_94210,plain,
( ( op(e2,e3) = e1 )
| ( op(e2,e2) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_94157,c_60]) ).
tff(c_94211,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_94185,c_94210]) ).
tff(c_94301,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_91904,c_94157,c_94211,c_64]) ).
tff(c_94302,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_94301]) ).
tff(c_94198,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_94199,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_94164,c_94158,c_94198]) ).
tff(c_94249,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_94199,c_300]) ).
tff(c_94250,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_94185,c_198,c_94249]) ).
tff(c_94342,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_94302,c_94250,c_94199,c_220]) ).
tff(c_94343,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_94342]) ).
tff(c_94344,plain,
( ( op(e2,e2) = e1 )
| ( op(e3,e2) = e1 ) ),
inference(splitRight,[status(thm)],[c_94181]) ).
tff(c_94348,plain,
op(e3,e2) = e1,
inference(splitLeft,[status(thm)],[c_94344]) ).
tff(c_94391,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94348,c_87328,c_40]) ).
tff(c_94392,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94365,c_93381,c_198,c_194,c_94391]) ).
tff(c_94393,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_94344]) ).
tff(c_94405,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_94393,c_268]) ).
tff(c_94406,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_94158,c_94405]) ).
tff(c_94517,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_94393,c_94406,c_220]) ).
tff(c_94518,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_87339,c_194,c_94517]) ).
tff(c_94519,plain,
( ( op(e2,e0) = e2 )
| ( op(e2,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_91902]) ).
tff(c_94521,plain,
op(e2,e0) = e1,
inference(splitLeft,[status(thm)],[c_94519]) ).
tff(c_94528,plain,
op(e2,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_118]) ).
tff(c_94526,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_190]) ).
tff(c_94534,plain,
( ( op(e1,e2) = e3 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_87339,c_87330,c_68]) ).
tff(c_94535,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_94534]) ).
tff(c_95533,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94535,c_72]) ).
tff(c_95534,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_95533]) ).
tff(c_95535,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_95534]) ).
tff(c_95621,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_95535,c_95535,c_292]) ).
tff(c_95622,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_94526,c_95621]) ).
tff(c_95624,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_95534]) ).
tff(c_94546,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_94549,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94546,c_180]) ).
tff(c_94550,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_94546,c_144]) ).
tff(c_94538,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94535,c_192]) ).
tff(c_95026,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_94550,c_94526,c_94538,c_32]) ).
tff(c_95031,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95026,c_142]) ).
tff(c_94557,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94535,c_72]) ).
tff(c_94558,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_94557]) ).
tff(c_94559,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_94558]) ).
tff(c_94778,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_94559,c_94559,c_292]) ).
tff(c_94779,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_94526,c_94778]) ).
tff(c_94780,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_94558]) ).
tff(c_94782,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_94780]) ).
tff(c_94786,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_94782,c_122]) ).
tff(c_94781,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_94558]) ).
tff(c_94795,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94546,c_70]) ).
tff(c_94796,plain,
( ( op(e3,e1) = e2 )
| ( op(e2,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_94781,c_94795]) ).
tff(c_94797,plain,
op(e2,e1) = e2,
inference(splitLeft,[status(thm)],[c_94796]) ).
tff(c_95012,plain,
( ( op(e3,e1) = e3 )
| ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94546,c_94797,c_66]) ).
tff(c_95013,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_87339,c_194,c_87331,c_95012]) ).
tff(c_95014,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_94796]) ).
tff(c_95020,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95014,c_102]) ).
tff(c_95105,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_95031,c_94786,c_95020,c_54]) ).
tff(c_95146,plain,
( ( e2 = e1 )
| ( op(e1,e1) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_95105,c_95026,c_300]) ).
tff(c_95147,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_198,c_95146]) ).
tff(c_95270,plain,
( ( e2 = e0 )
| ( e1 = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_95105,c_95147,c_95026,c_332]) ).
tff(c_95271,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_204,c_202,c_95270]) ).
tff(c_95272,plain,
op(e1,e2) = e2,
inference(splitRight,[status(thm)],[c_94780]) ).
tff(c_95286,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_95272,c_50]) ).
tff(c_95287,plain,
( ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_87332,c_95286]) ).
tff(c_95288,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_95287]) ).
tff(c_95292,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_95288,c_166]) ).
tff(c_95276,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_95272,c_162]) ).
tff(c_95402,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_95403,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_95276,c_94781,c_95402]) ).
tff(c_95471,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_95403,c_220]) ).
tff(c_95472,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95292,c_87339,c_194,c_95471]) ).
tff(c_95473,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_95287]) ).
tff(c_95487,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_95473,c_268]) ).
tff(c_95488,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_94781,c_95487]) ).
tff(c_95518,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_95473,c_95488,c_332]) ).
tff(c_95519,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_94549,c_202,c_95518]) ).
tff(c_95520,plain,
( ( op(e1,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_95522,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_95520]) ).
tff(c_95528,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_95522,c_108]) ).
tff(c_94524,plain,
op(e3,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_182]) ).
tff(c_96048,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_95528,c_94524,c_87333,c_8]) ).
tff(c_96052,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96048,c_188]) ).
tff(c_95805,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) != e2 )
| ( op(e2,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_95624,c_244]) ).
tff(c_95806,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_95805]) ).
tff(c_96022,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_220]) ).
tff(c_96023,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95806,c_87339,c_94538,c_96022]) ).
tff(c_96025,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_95805]) ).
tff(c_96083,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96025,c_268]) ).
tff(c_96084,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_95624,c_96052,c_96083]) ).
tff(c_96085,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_95520]) ).
tff(c_96087,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_96085]) ).
tff(c_96091,plain,
op(e2,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96087,c_174]) ).
tff(c_96098,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_64]) ).
tff(c_96099,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_96091,c_96098]) ).
tff(c_96100,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_96099]) ).
tff(c_96213,plain,
( ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96100,c_96087,c_96100,c_266]) ).
tff(c_96214,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_96213]) ).
tff(c_96215,plain,
op(e2,e3) = e0,
inference(splitRight,[status(thm)],[c_96099]) ).
tff(c_96232,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96215,c_154]) ).
tff(c_96093,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96087,c_124]) ).
tff(c_96217,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94535,c_96087,c_72]) ).
tff(c_96218,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_96217]) ).
tff(c_96219,plain,
op(e1,e2) = e2,
inference(splitLeft,[status(thm)],[c_96218]) ).
tff(c_96225,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96219,c_122]) ).
tff(c_96486,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_96093,c_96225,c_87330,c_18]) ).
tff(c_96490,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_96486,c_156]) ).
tff(c_96216,plain,
op(e2,e2) != e0,
inference(splitRight,[status(thm)],[c_96099]) ).
tff(c_96223,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96219,c_162]) ).
tff(c_96301,plain,
( ( op(e3,e2) = e3 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96219,c_50]) ).
tff(c_96302,plain,
( ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_87332,c_96301]) ).
tff(c_96303,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_96302]) ).
tff(c_96306,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_96303,c_166]) ).
tff(c_96380,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96216,c_94528,c_96223,c_96306,c_12]) ).
tff(c_96381,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_96302]) ).
tff(c_96420,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96381,c_96087,c_268]) ).
tff(c_96421,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_202,c_96420]) ).
tff(c_96427,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96421,c_140]) ).
tff(c_96512,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96232,c_96490,c_96427,c_87329,c_26]) ).
tff(c_96514,plain,
op(e1,e2) != e2,
inference(splitRight,[status(thm)],[c_96218]) ).
tff(c_96574,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96087,c_268]) ).
tff(c_96575,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_96574]) ).
tff(c_96576,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_96575]) ).
tff(c_96644,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96576,c_96087,c_220]) ).
tff(c_96645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_94538,c_96644]) ).
tff(c_96647,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_96575]) ).
tff(c_94540,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_94535,c_130]) ).
tff(c_96535,plain,
( ( op(e2,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_94540,c_87332,c_50]) ).
tff(c_96536,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_96535]) ).
tff(c_96092,plain,
op(e1,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96087,c_126]) ).
tff(c_96557,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e1,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96536,c_62]) ).
tff(c_96558,plain,
op(e3,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_96092,c_96216,c_96557]) ).
tff(c_96702,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( op(e1,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_96536,c_96558,c_54]) ).
tff(c_96703,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_96514,c_96647,c_202,c_96702]) ).
tff(c_96704,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_96535]) ).
tff(c_96749,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96704,c_96087,c_268]) ).
tff(c_96750,plain,
op(e0,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_194,c_202,c_96749]) ).
tff(c_96854,plain,
( ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_96704,c_96087,c_96750,c_300]) ).
tff(c_96855,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_196,c_204,c_198,c_96854]) ).
tff(c_96857,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_96085]) ).
tff(c_97221,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94535,c_72]) ).
tff(c_97222,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_97221]) ).
tff(c_97223,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_97222]) ).
tff(c_97303,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_97223,c_97223,c_292]) ).
tff(c_97304,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_94526,c_97303]) ).
tff(c_97306,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_97222]) ).
tff(c_97734,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_96857,c_97306,c_87339,c_22]) ).
tff(c_96856,plain,
op(e2,e1) = e0,
inference(splitRight,[status(thm)],[c_96085]) ).
tff(c_96862,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_96856,c_112]) ).
tff(c_94527,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_116]) ).
tff(c_96868,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 )
| ( e2 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_96856,c_56]) ).
tff(c_96869,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_202,c_96868]) ).
tff(c_96870,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_96869]) ).
tff(c_96876,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_96870,c_110]) ).
tff(c_87334,plain,
op(e2,e3) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_146]) ).
tff(c_97208,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96862,c_94527,c_96876,c_87334,c_10]) ).
tff(c_97209,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_96869]) ).
tff(c_97216,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97209,c_110]) ).
tff(c_97664,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_96857,c_97306,c_87339,c_22]) ).
tff(c_97635,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94526,c_94538,c_32]) ).
tff(c_97636,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_97635]) ).
tff(c_97690,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_97664,c_97636,c_268]) ).
tff(c_97691,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_97216,c_198,c_202,c_97690]) ).
tff(c_97692,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_97635]) ).
tff(c_97826,plain,
( ( e2 = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_97734,c_97692,c_296]) ).
tff(c_97827,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_94528,c_198,c_97826]) ).
tff(c_97828,plain,
op(e1,e2) = e3,
inference(splitRight,[status(thm)],[c_94534]) ).
tff(c_97848,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97828,c_162]) ).
tff(c_99282,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_70]) ).
tff(c_99436,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99282,c_78]) ).
tff(c_99437,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_99436]) ).
tff(c_99438,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_99437]) ).
tff(c_99446,plain,
op(e1,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99438,c_132]) ).
tff(c_94525,plain,
op(e1,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_186]) ).
tff(c_99285,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99282,c_176]) ).
tff(c_99286,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99282,c_180]) ).
tff(c_99287,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99282,c_144]) ).
tff(c_99302,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_99303,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_99286,c_99287,c_99302]) ).
tff(c_99307,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99303,c_158]) ).
tff(c_99424,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_99425,plain,
op(e3,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_99285,c_99307,c_194,c_99424]) ).
tff(c_99429,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99425,c_184]) ).
tff(c_97829,plain,
op(e1,e0) != e3,
inference(splitRight,[status(thm)],[c_94534]) ).
tff(c_99452,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99446,c_94525,c_99429,c_97829,c_24]) ).
tff(c_99454,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_99437]) ).
tff(c_99297,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_294]) ).
tff(c_99298,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_94528,c_99297]) ).
tff(c_99299,plain,
op(e1,e1) != e1,
inference(splitLeft,[status(thm)],[c_99298]) ).
tff(c_99469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99454,c_99299,c_99286,c_87339,c_22]) ).
tff(c_99471,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_99298]) ).
tff(c_99519,plain,
( ( op(e0,e0) = e3 )
| ( e3 = e1 )
| ( op(e2,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_99471,c_220]) ).
tff(c_99520,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_97848,c_196,c_99519]) ).
tff(c_99540,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_99471,c_99520,c_268]) ).
tff(c_99541,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_194,c_99540]) ).
tff(c_99624,plain,
( ( e3 = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99520,c_99541,c_99471,c_99520,c_316]) ).
tff(c_99625,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_200,c_99624]) ).
tff(c_99627,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_98726,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_292]) ).
tff(c_98727,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_94526,c_98726]) ).
tff(c_98728,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_98727]) ).
tff(c_98429,plain,
( ( op(e1,e0) = e2 )
| ( op(e1,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94525,c_97829,c_24]) ).
tff(c_98430,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_98429]) ).
tff(c_98435,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98430,c_132]) ).
tff(c_98434,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98430,c_192]) ).
tff(c_98673,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_332]) ).
tff(c_98674,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_98435,c_98434,c_98673]) ).
tff(c_98678,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98674,c_110]) ).
tff(c_98801,plain,
op(e2,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_98678,c_94527,c_87334,c_10]) ).
tff(c_98805,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98801,c_112]) ).
tff(c_97830,plain,
( ( op(e2,e2) = e3 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_87332,c_50]) ).
tff(c_97831,plain,
op(e0,e2) = e3,
inference(splitLeft,[status(thm)],[c_97830]) ).
tff(c_97834,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_97831,c_168]) ).
tff(c_97842,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_97834,c_97828]) ).
tff(c_97844,plain,
op(e0,e2) != e3,
inference(splitRight,[status(thm)],[c_97830]) ).
tff(c_97859,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_97865,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_136]) ).
tff(c_97873,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_97865,c_87329,c_26]) ).
tff(c_97874,plain,
op(e0,e3) = e1,
inference(splitLeft,[status(thm)],[c_97873]) ).
tff(c_98086,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_97874,c_88]) ).
tff(c_98087,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_198,c_98086]) ).
tff(c_98088,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_98087]) ).
tff(c_98130,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98088,c_97859,c_97874,c_84]) ).
tff(c_98131,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_97844,c_196,c_98130]) ).
tff(c_98132,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_98087]) ).
tff(c_98139,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98132,c_166]) ).
tff(c_98145,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_94528,c_98139,c_97848,c_12]) ).
tff(c_97888,plain,
( ( op(e3,e1) = e3 )
| ( op(e2,e1) = e3 )
| ( op(e1,e1) = e3 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_66]) ).
tff(c_97889,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_87339,c_87331,c_97888]) ).
tff(c_97931,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_292]) ).
tff(c_97932,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_94526,c_97931]) ).
tff(c_97933,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_97932]) ).
tff(c_97918,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_97919,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_97918]) ).
tff(c_97920,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_97919]) ).
tff(c_97923,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97920,c_188]) ).
tff(c_97936,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_97937,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_97933,c_97923,c_97936]) ).
tff(c_97940,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97937,c_166]) ).
tff(c_97947,plain,
( ( e3 = e2 )
| ( e3 = e1 )
| ( op(e1,e0) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_97920,c_82]) ).
tff(c_97948,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_97829,c_196,c_194,c_97947]) ).
tff(c_97960,plain,
( ( e2 = e1 )
| ( op(e0,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97948,c_97859,c_97874,c_88]) ).
tff(c_97961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_97940,c_198,c_97960]) ).
tff(c_97962,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_97932]) ).
tff(c_97963,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_97932]) ).
tff(c_97972,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_97962,c_97963]) ).
tff(c_97973,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_97972]) ).
tff(c_97974,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_97919]) ).
tff(c_97976,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_97974]) ).
tff(c_97982,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97976,c_158]) ).
tff(c_97989,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_97990,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_97982,c_97989]) ).
tff(c_97991,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_97990]) ).
tff(c_97995,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_97991,c_132]) ).
tff(c_97975,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_97919]) ).
tff(c_98021,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_97874,c_84]) ).
tff(c_98022,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_97844,c_196,c_98021]) ).
tff(c_98032,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98022,c_94521,c_86]) ).
tff(c_98033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_97995,c_198,c_97975,c_98032]) ).
tff(c_98034,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_97990]) ).
tff(c_98065,plain,
( ( e3 = e1 )
| ( op(e0,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98034,c_97859,c_97874,c_84]) ).
tff(c_98066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_97844,c_196,c_98065]) ).
tff(c_98067,plain,
op(e3,e1) = e2,
inference(splitRight,[status(thm)],[c_97974]) ).
tff(c_98210,plain,
( ( e2 = e1 )
| ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_97889,c_98067,c_74]) ).
tff(c_98211,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_204,c_196,c_198,c_98210]) ).
tff(c_98133,plain,
op(e0,e0) != e2,
inference(splitRight,[status(thm)],[c_98087]) ).
tff(c_98178,plain,
( ( op(e3,e0) = e2 )
| ( e2 = e1 )
| ( op(e1,e0) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_86]) ).
tff(c_98179,plain,
op(e1,e0) = e2,
inference(negUnitSimplification,[status(thm)],[c_98133,c_198,c_97975,c_98178]) ).
tff(c_98198,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e1 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98179,c_94521,c_82]) ).
tff(c_98199,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_194,c_196,c_87333,c_98198]) ).
tff(c_98253,plain,
( ( e3 = e2 )
| ( e2 = e1 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_98145,c_98211,c_98199,c_268]) ).
tff(c_98254,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_198,c_194,c_98253]) ).
tff(c_98255,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_97873]) ).
tff(c_97862,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_97859,c_180]) ).
tff(c_98305,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_292]) ).
tff(c_98306,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_94526,c_98305]) ).
tff(c_98307,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_98306]) ).
tff(c_98321,plain,
op(e1,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_97862,c_98307,c_87339,c_22]) ).
tff(c_98327,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98321,c_124]) ).
tff(c_98260,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98255,c_156]) ).
tff(c_98338,plain,
op(e1,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_98327,c_98260,c_87330,c_18]) ).
tff(c_98386,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e1 = e0 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98255,c_98338,c_87328,c_42]) ).
tff(c_98387,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_204,c_94527,c_196,c_98386]) ).
tff(c_98388,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_98306]) ).
tff(c_98389,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_98306]) ).
tff(c_98410,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_98388,c_98389]) ).
tff(c_98411,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_98410]) ).
tff(c_98412,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_98414,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_98412]) ).
tff(c_98688,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_98689,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_98688]) ).
tff(c_98690,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_98689]) ).
tff(c_98696,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98690,c_106]) ).
tff(c_98441,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_97844,c_28]) ).
tff(c_98442,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_98441]) ).
tff(c_98445,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98442,c_166]) ).
tff(c_98436,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98430,c_128]) ).
tff(c_98495,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_98436,c_87330,c_18]) ).
tff(c_98496,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_98495]) ).
tff(c_98503,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_98496,c_124]) ).
tff(c_98476,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_292]) ).
tff(c_98477,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_94526,c_98476]) ).
tff(c_98478,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_98477]) ).
tff(c_98517,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98435,c_98503,c_98478,c_87339,c_22]) ).
tff(c_98518,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_98495]) ).
tff(c_98522,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98518,c_156]) ).
tff(c_98481,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_98482,plain,
( ( op(e0,e0) = e2 )
| ( op(e2,e2) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_98478,c_98481]) ).
tff(c_98483,plain,
op(e2,e2) = e2,
inference(splitLeft,[status(thm)],[c_98482]) ).
tff(c_98529,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( op(e0,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98414,c_98442,c_88]) ).
tff(c_98530,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_98529]) ).
tff(c_98531,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_98530]) ).
tff(c_98612,plain,
( ( e2 = e0 )
| ( op(e1,e1) = e0 )
| ( e2 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_98483,c_98531,c_332]) ).
tff(c_98613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_202,c_98435,c_202,c_98612]) ).
tff(c_98614,plain,
op(e0,e3) = e2,
inference(splitRight,[status(thm)],[c_98530]) ).
tff(c_98616,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98522,c_98614]) ).
tff(c_98618,plain,
op(e2,e2) != e2,
inference(splitRight,[status(thm)],[c_98482]) ).
tff(c_98630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98445,c_94528,c_98618,c_97848,c_12]) ).
tff(c_98631,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_98477]) ).
tff(c_98632,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_98477]) ).
tff(c_98644,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_98631,c_98632]) ).
tff(c_98645,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_98644]) ).
tff(c_98646,plain,
( ( op(e0,e2) = e1 )
| ( op(e0,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_98441]) ).
tff(c_98648,plain,
op(e0,e2) = e2,
inference(splitLeft,[status(thm)],[c_98646]) ).
tff(c_98653,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98648,c_142]) ).
tff(c_98419,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_98414,c_144]) ).
tff(c_98659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_98434,c_94526,c_98653,c_98419,c_32]) ).
tff(c_98660,plain,
op(e0,e2) = e1,
inference(splitRight,[status(thm)],[c_98646]) ).
tff(c_98710,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98660,c_97828,c_98674,c_54]) ).
tff(c_98711,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_98696,c_98710]) ).
tff(c_98712,plain,
( ( op(e3,e1) = e2 )
| ( op(e3,e2) = e2 ) ),
inference(splitRight,[status(thm)],[c_98689]) ).
tff(c_98714,plain,
op(e3,e2) = e2,
inference(splitLeft,[status(thm)],[c_98712]) ).
tff(c_98718,plain,
op(e3,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98714,c_102]) ).
tff(c_98810,plain,
( ( op(e3,e1) = e1 )
| ( op(e3,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98718,c_87331,c_6]) ).
tff(c_98811,plain,
op(e3,e1) = e0,
inference(splitLeft,[status(thm)],[c_98810]) ).
tff(c_98823,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98414,c_98811,c_70]) ).
tff(c_98824,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_98728,c_98805,c_202,c_98823]) ).
tff(c_98825,plain,
op(e3,e1) = e1,
inference(splitRight,[status(thm)],[c_98810]) ).
tff(c_98839,plain,
( ( e2 = e1 )
| ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98414,c_98825,c_70]) ).
tff(c_98840,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_98728,c_98805,c_198,c_98839]) ).
tff(c_98841,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_98727]) ).
tff(c_98842,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_98727]) ).
tff(c_98852,plain,
e2 = e1,
inference(demodulation,[status(thm),theory(equality)],[c_98841,c_98842]) ).
tff(c_98853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_98852]) ).
tff(c_98855,plain,
op(e3,e2) != e2,
inference(splitRight,[status(thm)],[c_98712]) ).
tff(c_98875,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98660,c_97828,c_98674,c_54]) ).
tff(c_98876,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_98855,c_98875]) ).
tff(c_98877,plain,
op(e1,e0) = e2,
inference(splitRight,[status(thm)],[c_98429]) ).
tff(c_98881,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98877,c_184]) ).
tff(c_98920,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_98921,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_98881,c_194,c_98920]) ).
tff(c_98922,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_98921]) ).
tff(c_98926,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98922,c_102]) ).
tff(c_98890,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94526,c_98419,c_32]) ).
tff(c_98891,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_98890]) ).
tff(c_98895,plain,
op(e0,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_98891,c_142]) ).
tff(c_98902,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_98895,c_97844,c_28]) ).
tff(c_98903,plain,
op(e0,e2) = e1,
inference(splitLeft,[status(thm)],[c_98902]) ).
tff(c_98932,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98903,c_97828,c_62]) ).
tff(c_98933,plain,
( ( op(e3,e2) = e0 )
| ( op(e2,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_98932]) ).
tff(c_98934,plain,
op(e2,e2) = e0,
inference(splitLeft,[status(thm)],[c_98933]) ).
tff(c_98960,plain,
( ( op(e3,e2) = e2 )
| ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98903,c_97828,c_98934,c_54]) ).
tff(c_98961,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_194,c_202,c_98926,c_98960]) ).
tff(c_98962,plain,
op(e3,e2) = e0,
inference(splitRight,[status(thm)],[c_98933]) ).
tff(c_99032,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e3,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98922,c_98962,c_87328,c_44]) ).
tff(c_99033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_94524,c_198,c_204,c_196,c_99032]) ).
tff(c_99034,plain,
op(e3,e2) = e2,
inference(splitRight,[status(thm)],[c_98921]) ).
tff(c_99038,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99034,c_158]) ).
tff(c_99074,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_94528,c_99038,c_97848,c_12]) ).
tff(c_99078,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99074,c_110]) ).
tff(c_98884,plain,
op(e1,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98877,c_128]) ).
tff(c_99045,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( op(e1,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_38]) ).
tff(c_99046,plain,
( ( op(e2,e3) = e2 )
| ( op(e0,e3) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_98884,c_194,c_99045]) ).
tff(c_99047,plain,
op(e0,e3) = e2,
inference(splitLeft,[status(thm)],[c_99046]) ).
tff(c_99096,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( op(e1,e3) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99047,c_87328,c_42]) ).
tff(c_99097,plain,
op(e1,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_198,c_94527,c_196,c_99096]) ).
tff(c_99106,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( e1 = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99047,c_99097,c_87328,c_46]) ).
tff(c_99107,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_204,c_99078,c_200,c_99106]) ).
tff(c_99109,plain,
op(e0,e3) != e2,
inference(splitRight,[status(thm)],[c_99046]) ).
tff(c_99144,plain,
( ( op(e0,e3) = e2 )
| ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_98891,c_98414,c_98903,c_88]) ).
tff(c_99145,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_198,c_99109,c_99144]) ).
tff(c_99146,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_98902]) ).
tff(c_99151,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99146,c_166]) ).
tff(c_98883,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98877,c_132]) ).
tff(c_99177,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_98883,c_87339,c_22]) ).
tff(c_99178,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_99177]) ).
tff(c_99195,plain,
( ( e2 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_99178,c_98891,c_268]) ).
tff(c_99196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_99151,c_202,c_202,c_99195]) ).
tff(c_99197,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_99177]) ).
tff(c_99264,plain,
( ( e2 = e0 )
| ( e2 = e1 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_99197,c_98891,c_268]) ).
tff(c_99265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_99151,c_198,c_202,c_99264]) ).
tff(c_99266,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_98890]) ).
tff(c_98882,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_98877,c_192]) ).
tff(c_99279,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99266,c_98882]) ).
tff(c_99280,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_98412]) ).
tff(c_99628,plain,
op(e0,e1) = e1,
inference(negUnitSimplification,[status(thm)],[c_99627,c_99280]) ).
tff(c_99637,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99628,c_136]) ).
tff(c_99929,plain,
( ( op(e2,e3) = e3 )
| ( op(e2,e2) = e3 )
| ( op(e2,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_52]) ).
tff(c_99930,plain,
op(e2,e1) = e3,
inference(negUnitSimplification,[status(thm)],[c_196,c_97848,c_87334,c_99929]) ).
tff(c_99946,plain,
( ( op(e2,e3) = e2 )
| ( op(e2,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_94527,c_87334,c_10]) ).
tff(c_99947,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_99946]) ).
tff(c_99950,plain,
op(e0,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_99947,c_154]) ).
tff(c_306,plain,
( ( op(e0,e0) != e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e0) != e2 )
| ( op(e0,e0) != e3 ) ),
inference(cnfTransformation,[status(thm)],[f_646]) ).
tff(c_99656,plain,
op(e0,e0) != e3,
inference(splitLeft,[status(thm)],[c_306]) ).
tff(c_99686,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99628,c_84]) ).
tff(c_99687,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99656,c_196,c_97844,c_87329,c_99686]) ).
tff(c_99689,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_306]) ).
tff(c_99626,plain,
( ( op(e1,e1) = e2 )
| ( op(e2,e1) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_70]) ).
tff(c_99642,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_99626]) ).
tff(c_99647,plain,
op(e3,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99642,c_102]) ).
tff(c_99636,plain,
op(e0,e2) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99628,c_138]) ).
tff(c_99710,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_99636,c_97844,c_28]) ).
tff(c_99711,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_99710]) ).
tff(c_99762,plain,
( ( op(e3,e2) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99711,c_97828,c_54]) ).
tff(c_99763,plain,
op(e2,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_202,c_194,c_99647,c_99762]) ).
tff(c_99634,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_99628,c_180]) ).
tff(c_99646,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_99642,c_172]) ).
tff(c_99736,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_99634,c_99646,c_87339,c_22]) ).
tff(c_99838,plain,
( ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_99763,c_99736,c_99689,c_260]) ).
tff(c_99839,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_99838]) ).
tff(c_99840,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_99710]) ).
tff(c_99968,plain,
( ( op(e0,e3) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99689,c_99628,c_99840,c_96]) ).
tff(c_99969,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_99950,c_99968]) ).
tff(c_99970,plain,
op(e2,e3) = e2,
inference(splitRight,[status(thm)],[c_99946]) ).
tff(c_99997,plain,
( ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_99930,c_99970,c_64]) ).
tff(c_99998,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_200,c_202,c_99997]) ).
tff(c_99856,plain,
( ( e2 = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_99628,c_99642,c_78]) ).
tff(c_99857,plain,
( ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_99856]) ).
tff(c_99858,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_99857]) ).
tff(c_100062,plain,
( ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_99998,c_99858,c_99998,c_266]) ).
tff(c_100063,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_100062]) ).
tff(c_100065,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_99857]) ).
tff(c_100100,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100065,c_99634,c_99646,c_87339,c_22]) ).
tff(c_100101,plain,
( ( op(e2,e1) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_99626]) ).
tff(c_100103,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_100101]) ).
tff(c_100108,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100103,c_132]) ).
tff(c_100123,plain,
op(e1,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_94525,c_100108,c_97829,c_24]) ).
tff(c_100127,plain,
op(e3,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100123,c_184]) ).
tff(c_100102,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_99626]) ).
tff(c_100134,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_100135,plain,
( ( op(e3,e2) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100102,c_194,c_100134]) ).
tff(c_100136,plain,
op(e3,e0) = e2,
inference(splitLeft,[status(thm)],[c_100135]) ).
tff(c_100140,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100136,c_188]) ).
tff(c_100128,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100123,c_192]) ).
tff(c_100147,plain,
( ( op(e0,e0) = e3 )
| ( op(e0,e0) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100128,c_94526,c_32]) ).
tff(c_100148,plain,
op(e0,e0) = e2,
inference(splitLeft,[status(thm)],[c_100147]) ).
tff(c_100149,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100140,c_100148]) ).
tff(c_100150,plain,
op(e0,e0) = e3,
inference(splitRight,[status(thm)],[c_100147]) ).
tff(c_100325,plain,
( ( e3 = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100150,c_100103,c_100150,c_316]) ).
tff(c_100326,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_200,c_100325]) ).
tff(c_100376,plain,
( ( e3 = e1 )
| ( e2 = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_100326,c_100103,c_100150,c_300]) ).
tff(c_100377,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_198,c_196,c_100376]) ).
tff(c_100379,plain,
op(e3,e0) != e2,
inference(splitRight,[status(thm)],[c_100135]) ).
tff(c_100389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100127,c_94524,c_100379,c_87333,c_8]) ).
tff(c_100390,plain,
op(e2,e1) = e2,
inference(splitRight,[status(thm)],[c_100101]) ).
tff(c_100452,plain,
( ( op(e0,e2) = e2 )
| ( op(e0,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_99636,c_97844,c_28]) ).
tff(c_100453,plain,
op(e0,e2) = e0,
inference(splitLeft,[status(thm)],[c_100452]) ).
tff(c_100457,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100453,c_166]) ).
tff(c_100694,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( e2 = e0 )
| ( e1 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_100390,c_64]) ).
tff(c_100695,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_204,c_202,c_100457,c_100694]) ).
tff(c_100722,plain,
( ( e3 = e0 )
| ( op(e2,e2) = e3 )
| ( e3 = e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_94521,c_100390,c_100695,c_52]) ).
tff(c_100723,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_97848,c_200,c_100722]) ).
tff(c_100724,plain,
op(e0,e2) = e2,
inference(splitRight,[status(thm)],[c_100452]) ).
tff(c_100730,plain,
op(e0,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100724,c_134]) ).
tff(c_100395,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100390,c_112]) ).
tff(c_100391,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_100101]) ).
tff(c_100743,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_99634,c_100391,c_87339,c_22]) ).
tff(c_100749,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_100743,c_124]) ).
tff(c_100771,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e3) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_100749,c_87330,c_18]) ).
tff(c_100772,plain,
op(e1,e3) = e1,
inference(splitLeft,[status(thm)],[c_100771]) ).
tff(c_100816,plain,
( ( e3 = e2 )
| ( op(e2,e3) = e2 )
| ( e2 = e1 )
| ( op(e0,e3) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100772,c_87328,c_38]) ).
tff(c_100817,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_100730,c_198,c_100395,c_194,c_100816]) ).
tff(c_100818,plain,
op(e1,e3) = e2,
inference(splitRight,[status(thm)],[c_100771]) ).
tff(c_100871,plain,
( ( e3 = e1 )
| ( op(e2,e3) = e1 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100818,c_87328,c_42]) ).
tff(c_100872,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_99637,c_198,c_94527,c_196,c_100871]) ).
tff(c_100873,plain,
op(e2,e0) = e2,
inference(splitRight,[status(thm)],[c_94519]) ).
tff(c_100879,plain,
op(e0,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_190]) ).
tff(c_100881,plain,
op(e2,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_118]) ).
tff(c_101855,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_64]) ).
tff(c_101856,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_101855]) ).
tff(c_101857,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_101856]) ).
tff(c_101868,plain,
( ( op(e3,e1) = e2 )
| ( e2 = e0 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_101857,c_70]) ).
tff(c_101869,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_101868]) ).
tff(c_101870,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_101869]) ).
tff(c_101873,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101870,c_180]) ).
tff(c_101897,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_101898,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_100881,c_101873,c_100879,c_101897]) ).
tff(c_101899,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_101869]) ).
tff(c_101901,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_101899]) ).
tff(c_101905,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101901,c_172]) ).
tff(c_101942,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_101943,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_100881,c_101905,c_100879,c_101942]) ).
tff(c_101944,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_101899]) ).
tff(c_102157,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_101944,c_101944,c_292]) ).
tff(c_102158,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_102157]) ).
tff(c_101900,plain,
op(e0,e1) != e2,
inference(splitRight,[status(thm)],[c_101869]) ).
tff(c_100877,plain,
op(e3,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_182]) ).
tff(c_101945,plain,
op(e3,e1) != e2,
inference(splitRight,[status(thm)],[c_101899]) ).
tff(c_102140,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_102141,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_100877,c_101945,c_194,c_102140]) ).
tff(c_102144,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102141,c_164]) ).
tff(c_102185,plain,
( ( op(e0,e3) = e2 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102158,c_88]) ).
tff(c_102186,plain,
op(e0,e3) = e2,
inference(negUnitSimplification,[status(thm)],[c_198,c_101900,c_102144,c_102185]) ).
tff(c_102221,plain,
( ( e3 = e2 )
| ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102158,c_102186,c_84]) ).
tff(c_102222,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e1) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_194,c_102221]) ).
tff(c_102223,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_102222]) ).
tff(c_102228,plain,
op(e0,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102223,c_138]) ).
tff(c_101989,plain,
( ( e3 = e2 )
| ( op(e3,e2) = e2 )
| ( op(e3,e1) = e2 )
| ( op(e3,e0) = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_40]) ).
tff(c_101990,plain,
op(e3,e2) = e2,
inference(negUnitSimplification,[status(thm)],[c_100877,c_101945,c_194,c_101989]) ).
tff(c_101993,plain,
op(e0,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101990,c_164]) ).
tff(c_102094,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_101944,c_101944,c_292]) ).
tff(c_102095,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_102094]) ).
tff(c_101950,plain,
op(e1,e2) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_101944,c_126]) ).
tff(c_100878,plain,
op(e1,e0) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_186]) ).
tff(c_100888,plain,
op(e1,e0) = e0,
inference(splitLeft,[status(thm)],[c_24]) ).
tff(c_101799,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e0 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100888,c_100873,c_82]) ).
tff(c_101800,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_87333,c_101799]) ).
tff(c_101811,plain,
( ( e3 = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_101800,c_268]) ).
tff(c_101812,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_100881,c_194,c_101811]) ).
tff(c_101836,plain,
( ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_101812,c_101812,c_101800,c_292]) ).
tff(c_101837,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_101836]) ).
tff(c_101838,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e2 )
| ( op(e1,e0) = e3 ) ),
inference(splitRight,[status(thm)],[c_24]) ).
tff(c_101840,plain,
( ( op(e1,e0) = e1 )
| ( op(e1,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_100878,c_101838]) ).
tff(c_101841,plain,
op(e1,e0) = e3,
inference(splitLeft,[status(thm)],[c_101840]) ).
tff(c_101847,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101841,c_130]) ).
tff(c_101965,plain,
( ( op(e1,e2) = e1 )
| ( op(e1,e2) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_101950,c_101847,c_20]) ).
tff(c_101966,plain,
op(e1,e2) = e0,
inference(splitLeft,[status(thm)],[c_101965]) ).
tff(c_101972,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101966,c_122]) ).
tff(c_101862,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_101857,c_112]) ).
tff(c_102106,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_46]) ).
tff(c_102107,plain,
op(e0,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_101972,c_101862,c_200,c_102106]) ).
tff(c_102121,plain,
( ( e2 = e0 )
| ( op(e0,e2) = e2 )
| ( op(e0,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102095,c_102107,c_88]) ).
tff(c_102122,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_101900,c_101993,c_202,c_102121]) ).
tff(c_102123,plain,
op(e1,e2) = e1,
inference(splitRight,[status(thm)],[c_101965]) ).
tff(c_102233,plain,
( ( e3 = e2 )
| ( op(e2,e2) = e3 )
| ( e3 = e1 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102123,c_102141,c_50]) ).
tff(c_102234,plain,
op(e2,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_102228,c_196,c_194,c_102233]) ).
tff(c_102307,plain,
( ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_102234,c_102158,c_102158,c_328]) ).
tff(c_102308,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_102307]) ).
tff(c_102309,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_102222]) ).
tff(c_102313,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_102309,c_166]) ).
tff(c_100880,plain,
op(e2,e3) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_116]) ).
tff(c_102323,plain,
op(e2,e3) = e1,
inference(negUnitSimplification,[status(thm)],[c_101862,c_100880,c_87334,c_10]) ).
tff(c_102393,plain,
( ( e3 = e1 )
| ( op(e2,e2) = e3 )
| ( e3 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_101857,c_102323,c_52]) ).
tff(c_102394,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_200,c_102313,c_196,c_102393]) ).
tff(c_102395,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_101856]) ).
tff(c_102399,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_102395]) ).
tff(c_102404,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102399,c_110]) ).
tff(c_102397,plain,
( ( op(e2,e2) != e1 )
| ( op(e2,e2) != e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_100881,c_100879,c_248]) ).
tff(c_102398,plain,
op(e2,e2) != e3,
inference(splitLeft,[status(thm)],[c_102397]) ).
tff(c_103278,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_102404,c_100881,c_102398,c_12]) ).
tff(c_103100,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_102404,c_100881,c_102398,c_12]) ).
tff(c_100882,plain,
op(e2,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_120]) ).
tff(c_102410,plain,
( ( op(e3,e1) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e0,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_100882,c_70]) ).
tff(c_102411,plain,
op(e0,e1) = e2,
inference(splitLeft,[status(thm)],[c_102410]) ).
tff(c_102414,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102411,c_180]) ).
tff(c_102549,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_102550,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_100881,c_102414,c_100879,c_102549]) ).
tff(c_102551,plain,
( ( op(e1,e1) = e2 )
| ( op(e3,e1) = e2 ) ),
inference(splitRight,[status(thm)],[c_102410]) ).
tff(c_102872,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_102551]) ).
tff(c_102396,plain,
op(e2,e1) != e0,
inference(splitRight,[status(thm)],[c_101856]) ).
tff(c_102553,plain,
( ( op(e3,e1) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e0,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_102396,c_78]) ).
tff(c_102554,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_102553]) ).
tff(c_102559,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_102554,c_144]) ).
tff(c_102566,plain,
op(e3,e1) = e2,
inference(splitLeft,[status(thm)],[c_102551]) ).
tff(c_102570,plain,
op(e1,e1) != e2,
inference(demodulation,[status(thm),theory(equality)],[c_102566,c_172]) ).
tff(c_102631,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( op(e2,e2) = e2 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_268]) ).
tff(c_102632,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_100881,c_102570,c_100879,c_102631]) ).
tff(c_102633,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_102551]) ).
tff(c_102868,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_102633,c_332]) ).
tff(c_102869,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_102404,c_202,c_102559,c_102868]) ).
tff(c_102870,plain,
( ( op(e1,e1) = e0 )
| ( op(e3,e1) = e0 ) ),
inference(splitRight,[status(thm)],[c_102553]) ).
tff(c_102883,plain,
( ( op(e1,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_102872,c_102870]) ).
tff(c_102884,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_102883]) ).
tff(c_103136,plain,
( ( op(e0,e0) = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_103100,c_102884,c_268]) ).
tff(c_103137,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_100879,c_103136]) ).
tff(c_103138,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_102551]) ).
tff(c_103314,plain,
( ( op(e0,e0) != e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_103278,c_103138,c_330]) ).
tff(c_103315,plain,
op(e0,e0) != e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_103314]) ).
tff(c_103318,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_103278,c_103138,c_332]) ).
tff(c_103319,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_202,c_103315,c_103318]) ).
tff(c_103320,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_102395]) ).
tff(c_103999,plain,
( ( op(e0,e0) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_103320,c_268]) ).
tff(c_104000,plain,
op(e1,e1) = e2,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_100879,c_103999]) ).
tff(c_104026,plain,
( ( op(e3,e0) = e1 )
| ( op(e3,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_100877,c_87333,c_8]) ).
tff(c_104027,plain,
op(e3,e0) = e0,
inference(splitLeft,[status(thm)],[c_104026]) ).
tff(c_104032,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_104027,c_188]) ).
tff(c_101845,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_101841,c_192]) ).
tff(c_104054,plain,
op(e0,e0) = e1,
inference(negUnitSimplification,[status(thm)],[c_104032,c_100879,c_101845,c_32]) ).
tff(c_104117,plain,
( ( e3 = e1 )
| ( e3 = e2 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_103320,c_104000,c_104054,c_220]) ).
tff(c_104118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_194,c_196,c_104117]) ).
tff(c_104119,plain,
op(e3,e0) = e1,
inference(splitRight,[status(thm)],[c_104026]) ).
tff(c_104123,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104119,c_188]) ).
tff(c_104149,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_104123,c_100879,c_101845,c_32]) ).
tff(c_104225,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_104000,c_104000,c_104149,c_292]) ).
tff(c_104226,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_104225]) ).
tff(c_104228,plain,
op(e2,e2) = e3,
inference(splitRight,[status(thm)],[c_102397]) ).
tff(c_104305,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_286]) ).
tff(c_104306,plain,
( ( op(e1,e1) != e0 )
| ( op(e1,e1) != e1 )
| ( op(e1,e1) != e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_104305]) ).
tff(c_104307,plain,
op(e1,e1) != e2,
inference(splitLeft,[status(thm)],[c_104306]) ).
tff(c_104403,plain,
( ( op(e1,e1) = e1 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_104307,c_87339,c_22]) ).
tff(c_104404,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_104403]) ).
tff(c_104560,plain,
( ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_104228,c_104404,c_104404,c_298]) ).
tff(c_104561,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_104560]) ).
tff(c_104562,plain,
op(e1,e1) = e1,
inference(splitRight,[status(thm)],[c_104403]) ).
tff(c_104567,plain,
op(e2,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104562,c_174]) ).
tff(c_104308,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104228,c_102395]) ).
tff(c_104309,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_104308]) ).
tff(c_104629,plain,
( ( e1 = e0 )
| ( e3 = e1 )
| ( op(e2,e1) = e1 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_104228,c_104309,c_60]) ).
tff(c_104630,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_198,c_104567,c_196,c_204,c_104629]) ).
tff(c_104632,plain,
op(e1,e1) = e2,
inference(splitRight,[status(thm)],[c_104306]) ).
tff(c_104671,plain,
( ( op(e0,e0) = e0 )
| ( e2 = e0 )
| ( e3 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_104228,c_104632,c_332]) ).
tff(c_104672,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_200,c_202,c_104671]) ).
tff(c_104793,plain,
( ( e1 = e0 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_104632,c_104632,c_104672,c_292]) ).
tff(c_104794,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_204,c_104793]) ).
tff(c_104795,plain,
op(e1,e0) = e1,
inference(splitRight,[status(thm)],[c_101840]) ).
tff(c_104801,plain,
op(e1,e1) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104795,c_132]) ).
tff(c_104800,plain,
op(e0,e0) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104795,c_192]) ).
tff(c_106345,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 )
| ( e2 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_100873,c_64]) ).
tff(c_106346,plain,
( ( op(e2,e3) = e0 )
| ( op(e2,e2) = e0 )
| ( op(e2,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_202,c_106345]) ).
tff(c_106347,plain,
op(e2,e1) = e0,
inference(splitLeft,[status(thm)],[c_106346]) ).
tff(c_106351,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106347,c_174]) ).
tff(c_106816,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_300]) ).
tff(c_106817,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_104801,c_104800,c_106816]) ).
tff(c_106833,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_106817,c_332]) ).
tff(c_106834,plain,
op(e0,e0) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_106351,c_106833]) ).
tff(c_106844,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106834,c_104795,c_100873,c_82]) ).
tff(c_106845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_196,c_194,c_87333,c_106844]) ).
tff(c_106846,plain,
( ( op(e2,e2) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_106346]) ).
tff(c_106860,plain,
op(e2,e3) = e0,
inference(splitLeft,[status(thm)],[c_106846]) ).
tff(c_106864,plain,
op(e1,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_106860,c_150]) ).
tff(c_104803,plain,
op(e1,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_104795,c_128]) ).
tff(c_104809,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 )
| ( e2 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104795,c_72]) ).
tff(c_104810,plain,
( ( op(e1,e3) = e2 )
| ( op(e1,e2) = e2 )
| ( op(e1,e1) = e2 ) ),
inference(negUnitSimplification,[status(thm)],[c_198,c_104809]) ).
tff(c_104811,plain,
op(e1,e1) = e2,
inference(splitLeft,[status(thm)],[c_104810]) ).
tff(c_105047,plain,
( ( op(e0,e0) = e1 )
| ( e2 = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_104811,c_104811,c_292]) ).
tff(c_105048,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_198,c_104800,c_105047]) ).
tff(c_105049,plain,
( ( op(e1,e2) = e2 )
| ( op(e1,e3) = e2 ) ),
inference(splitRight,[status(thm)],[c_104810]) ).
tff(c_105051,plain,
op(e1,e3) = e2,
inference(splitLeft,[status(thm)],[c_105049]) ).
tff(c_105052,plain,
( ( e3 = e0 )
| ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_46]) ).
tff(c_105053,plain,
( ( op(e2,e3) = e0 )
| ( op(e1,e3) = e0 )
| ( op(e0,e3) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_200,c_105052]) ).
tff(c_105054,plain,
op(e0,e3) = e0,
inference(splitLeft,[status(thm)],[c_105053]) ).
tff(c_105066,plain,
op(e2,e3) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105054,c_154]) ).
tff(c_105068,plain,
op(e0,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105054,c_136]) ).
tff(c_105075,plain,
( ( op(e3,e1) = e0 )
| ( op(e2,e1) = e0 )
| ( op(e1,e1) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_105068,c_78]) ).
tff(c_105076,plain,
op(e1,e1) = e0,
inference(splitLeft,[status(thm)],[c_105075]) ).
tff(c_105067,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105054,c_140]) ).
tff(c_105110,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_105067,c_104800,c_100879,c_32]) ).
tff(c_105161,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_105076,c_105110,c_300]) ).
tff(c_105162,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_196,c_105161]) ).
tff(c_105169,plain,
op(e2,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105162,c_110]) ).
tff(c_105203,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105066,c_105169,c_100880,c_87334,c_10]) ).
tff(c_105205,plain,
op(e1,e1) != e0,
inference(splitRight,[status(thm)],[c_105075]) ).
tff(c_105428,plain,
op(e0,e0) = e3,
inference(negUnitSimplification,[status(thm)],[c_105067,c_104800,c_100879,c_32]) ).
tff(c_105475,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_105428,c_300]) ).
tff(c_105476,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_104801,c_196,c_105475]) ).
tff(c_105527,plain,
( ( e3 = e0 )
| ( op(e1,e1) = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_105476,c_105428,c_332]) ).
tff(c_105528,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_105205,c_200,c_105527]) ).
tff(c_105529,plain,
( ( op(e1,e3) = e0 )
| ( op(e2,e3) = e0 ) ),
inference(splitRight,[status(thm)],[c_105053]) ).
tff(c_105565,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105051,c_105529]) ).
tff(c_105566,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_105565]) ).
tff(c_105570,plain,
op(e2,e2) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105566,c_110]) ).
tff(c_105541,plain,
op(e0,e1) = e0,
inference(splitLeft,[status(thm)],[c_30]) ).
tff(c_105544,plain,
op(e1,e1) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105541,c_180]) ).
tff(c_105545,plain,
op(e0,e0) != e0,
inference(demodulation,[status(thm),theory(equality)],[c_105541,c_144]) ).
tff(c_105594,plain,
( ( op(e0,e0) = e0 )
| ( op(e1,e1) = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_332]) ).
tff(c_105595,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_105570,c_105544,c_105545,c_105594]) ).
tff(c_105596,plain,
( ( op(e0,e1) = e1 )
| ( op(e0,e1) = e2 )
| ( op(e0,e1) = e3 ) ),
inference(splitRight,[status(thm)],[c_30]) ).
tff(c_105611,plain,
op(e0,e1) = e3,
inference(splitLeft,[status(thm)],[c_105596]) ).
tff(c_105616,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_105611,c_144]) ).
tff(c_105896,plain,
( ( op(e3,e0) = e3 )
| ( e3 = e2 )
| ( e3 = e1 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_104795,c_100873,c_82]) ).
tff(c_105897,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105616,c_196,c_194,c_87333,c_105896]) ).
tff(c_105898,plain,
( ( op(e0,e1) = e2 )
| ( op(e0,e1) = e1 ) ),
inference(splitRight,[status(thm)],[c_105596]) ).
tff(c_105900,plain,
op(e0,e1) = e1,
inference(splitLeft,[status(thm)],[c_105898]) ).
tff(c_105908,plain,
op(e0,e3) != e1,
inference(demodulation,[status(thm),theory(equality)],[c_105900,c_136]) ).
tff(c_105598,plain,
( ( e2 = e0 )
| ( op(e2,e3) = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105051,c_105529]) ).
tff(c_105599,plain,
op(e2,e3) = e0,
inference(negUnitSimplification,[status(thm)],[c_202,c_105598]) ).
tff(c_105998,plain,
( ( e3 = e1 )
| ( e1 = e0 )
| ( e2 = e1 )
| ( op(e0,e3) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_105051,c_105599,c_87328,c_42]) ).
tff(c_105999,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105908,c_198,c_204,c_196,c_105998]) ).
tff(c_106000,plain,
op(e0,e1) = e2,
inference(splitRight,[status(thm)],[c_105898]) ).
tff(c_106015,plain,
( ( op(e0,e3) = e3 )
| ( op(e0,e2) = e3 )
| ( e3 = e2 )
| ( op(e0,e0) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_106000,c_84]) ).
tff(c_106016,plain,
( ( op(e0,e2) = e3 )
| ( op(e0,e0) = e3 ) ),
inference(negUnitSimplification,[status(thm)],[c_194,c_87329,c_106015]) ).
tff(c_106017,plain,
op(e0,e0) = e3,
inference(splitLeft,[status(thm)],[c_106016]) ).
tff(c_106128,plain,
( ( e3 = e1 )
| ( op(e1,e1) = e1 )
| ( op(e2,e2) = e1 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_106017,c_300]) ).
tff(c_106129,plain,
op(e2,e2) = e1,
inference(negUnitSimplification,[status(thm)],[c_196,c_104801,c_196,c_106128]) ).
tff(c_105050,plain,
op(e1,e1) != e2,
inference(splitRight,[status(thm)],[c_104810]) ).
tff(c_106229,plain,
op(e1,e1) = e0,
inference(negUnitSimplification,[status(thm)],[c_104801,c_105050,c_87339,c_22]) ).
tff(c_106312,plain,
( ( e3 = e2 )
| ( e2 = e0 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_106129,c_106229,c_106017,c_268]) ).
tff(c_106313,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_202,c_194,c_106312]) ).
tff(c_106314,plain,
op(e0,e2) = e3,
inference(splitRight,[status(thm)],[c_106016]) ).
tff(c_106317,plain,
op(e2,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_106314,c_166]) ).
tff(c_106315,plain,
op(e0,e0) != e3,
inference(splitRight,[status(thm)],[c_106016]) ).
tff(c_106329,plain,
( ( op(e0,e0) = e3 )
| ( op(e1,e1) = e3 )
| ( op(e2,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_220]) ).
tff(c_106330,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106317,c_87339,c_106315,c_106329]) ).
tff(c_106332,plain,
op(e1,e3) != e2,
inference(splitRight,[status(thm)],[c_105049]) ).
tff(c_106959,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_106864,c_104803,c_106332,c_87330,c_18]) ).
tff(c_106960,plain,
op(e2,e2) = e0,
inference(splitRight,[status(thm)],[c_106846]) ).
tff(c_107050,plain,
( ( op(e0,e0) = e1 )
| ( op(e1,e1) = e1 )
| ( e1 = e0 )
| ( e3 = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_106960,c_300]) ).
tff(c_107051,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_196,c_204,c_104801,c_104800,c_107050]) ).
tff(c_107053,plain,
op(e1,e1) = e3,
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_107052,plain,
( ( op(e2,e2) = e1 )
| ( op(e1,e1) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(splitRight,[status(thm)],[c_284]) ).
tff(c_107067,plain,
( ( op(e2,e2) = e1 )
| ( e3 = e1 )
| ( op(e0,e0) = e1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107053,c_107052]) ).
tff(c_107068,plain,
( ( op(e2,e2) = e1 )
| ( op(e0,e0) = e1 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_107067]) ).
tff(c_107069,plain,
op(e0,e0) = e1,
inference(splitLeft,[status(thm)],[c_107068]) ).
tff(c_107216,plain,
( ( e1 = e0 )
| ( op(e2,e2) = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_107069,c_107069,c_328]) ).
tff(c_107217,plain,
op(e2,e2) = e0,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_107216]) ).
tff(c_107230,plain,
( ( e2 = e1 )
| ( e3 = e2 )
| ( e2 = e0 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_107217,c_107053,c_107069,c_268]) ).
tff(c_107231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_202,c_194,c_198,c_107230]) ).
tff(c_107232,plain,
op(e2,e2) = e1,
inference(splitRight,[status(thm)],[c_107068]) ).
tff(c_107233,plain,
op(e0,e0) != e1,
inference(splitRight,[status(thm)],[c_107068]) ).
tff(c_107057,plain,
op(e1,e2) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107053,c_126]) ).
tff(c_107246,plain,
( ( op(e3,e2) = e3 )
| ( e3 = e1 )
| ( op(e1,e2) = e3 )
| ( op(e0,e2) = e3 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_107232,c_50]) ).
tff(c_107247,plain,
op(e0,e2) = e3,
inference(negUnitSimplification,[status(thm)],[c_107057,c_196,c_87332,c_107246]) ).
tff(c_107251,plain,
op(e0,e0) != e3,
inference(demodulation,[status(thm),theory(equality)],[c_107247,c_142]) ).
tff(c_107624,plain,
( ( op(e0,e0) = e2 )
| ( op(e0,e0) = e0 ) ),
inference(negUnitSimplification,[status(thm)],[c_107233,c_107251,c_32]) ).
tff(c_107625,plain,
op(e0,e0) = e0,
inference(splitLeft,[status(thm)],[c_107624]) ).
tff(c_107664,plain,
( ( e2 = e0 )
| ( e3 = e2 )
| ( e2 = e1 )
| ( e3 = e2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_107232,c_107053,c_107625,c_268]) ).
tff(c_107665,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_194,c_198,c_194,c_202,c_107664]) ).
tff(c_107666,plain,
op(e0,e0) = e2,
inference(splitRight,[status(thm)],[c_107624]) ).
tff(c_108065,plain,
( ( e2 = e0 )
| ( e3 = e0 )
| ( e1 = e0 )
| ( e3 = e0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_87328,c_107232,c_107053,c_107666,c_332]) ).
tff(c_108066,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_200,c_204,c_200,c_202,c_108065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.14 % Problem : ALG139+1 : TPTP v9.0.0. Released v2.7.0.
% 0.04/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.36 % Computer : n013.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sun Apr 6 07:03:32 EDT 2025
% 0.14/0.36 % CPUTime :
% 22.75/11.61 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 27.41/15.79
% 27.41/15.79 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------