%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM539+1 : TPTP v9.0.0. Released v4.0.0.
% 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 : n029.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 07:56:18 PM UTC 2025
% Result : Theorem 29.17s 15.07s
% Output : CNFRefutation 29.62s
% Verified :
% SZS Type : Refutation
% Derivation depth : 64
% Number of leaves : 31
% Syntax : Number of formulae : 1013 ( 456 unt; 0 typ; 4 def)
% Number of atoms : 2336 ( 800 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 2492 (1169 ~;1255 |; 26 &)
% ( 8 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 5 con; 0-3 aty)
% Number of variables : 284 ( 282 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > sbrdtbr0 > xT > xS > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_6 > #skF_1 > #skF_4 > #skF_5 > #skF_10 > #skF_8 > #skF_3 > #skF_2 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(slcrc0,type,
slcrc0: $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
tff(f_414,hypothesis,
( aSubsetOf0(xS,szNzAzT0)
& aSubsetOf0(xT,szNzAzT0)
& ( xS != slcrc0 )
& ( xT != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1779) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_318,axiom,
! [W0] :
( aSet0(W0)
=> aElement0(sbrdtbr0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardS) ).
tff(f_212,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(f_360,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( ( isFinite0(W0)
& aSubsetOf0(W1,W0) )
=> sdtlseqdt0(sbrdtbr0(W1),sbrdtbr0(W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardSub) ).
tff(f_137,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( ( W2 = sdtpldt0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& ( aElementOf0(W3,W0)
| ( W3 = W1 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefCons) ).
tff(f_342,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ( ~ aElementOf0(W1,W0)
=> ( sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardCons) ).
tff(f_257,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNoScLessZr) ).
tff(f_417,hypothesis,
( aElementOf0(szmzizndt0(xS),xT)
& aElementOf0(szmzizndt0(xT),xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1802) ).
tff(f_236,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( W0 = sz00 )
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& ( W0 = szszuzczcdt0(W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
tff(f_241,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( W0 != szszuzczcdt0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatNSucc) ).
tff(f_388,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzizndt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_219,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& ( szszuzczcdt0(W0) != sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_93,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> isFinite0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
tff(f_252,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
tff(f_314,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> iLess0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH) ).
tff(f_269,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
tff(f_283,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
tff(f_265,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccLess) ).
tff(f_227,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( szszuzczcdt0(W0) = szszuzczcdt0(W1) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccEquSucc) ).
tff(f_419,negated_conjecture,
szmzizndt0(xS) != szmzizndt0(xT),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
tff(f_295,axiom,
! [W0,W1,W2] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0)
& aElementOf0(W2,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W2) )
=> sdtlseqdt0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTrans) ).
tff(f_324,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_106,plain,
isCountable0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_184,plain,
xT != slcrc0,
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_186,plain,
xS != slcrc0,
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_16,plain,
isFinite0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_200,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_207,plain,
! [W0_133] :
( aElement0(sbrdtbr0(W0_133))
| ~ aSet0(W0_133) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_210,plain,
( aElement0(sz00)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_207]) ).
tff(c_212,plain,
aElement0(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_210]) ).
tff(c_110,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_902,plain,
! [W0_205,W1_206] :
( aElementOf0('#skF_2'(W0_205,W1_206),W1_206)
| aSubsetOf0(W1_206,W0_205)
| ~ aSet0(W1_206)
| ~ aSet0(W0_205) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_935,plain,
! [W0_205] :
( aSubsetOf0(slcrc0,W0_205)
| ~ aSet0(slcrc0)
| ~ aSet0(W0_205) ),
inference(resolution,[status(thm)],[c_902,c_12]) ).
tff(c_952,plain,
! [W0_205] :
( aSubsetOf0(slcrc0,W0_205)
| ~ aSet0(W0_205) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_935]) ).
tff(c_967,plain,
! [W1_213,W0_214] :
( sdtlseqdt0(sbrdtbr0(W1_213),sbrdtbr0(W0_214))
| ~ aSubsetOf0(W1_213,W0_214)
| ~ isFinite0(W0_214)
| ~ aSet0(W0_214) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_973,plain,
! [W1_213] :
( sdtlseqdt0(sbrdtbr0(W1_213),sz00)
| ~ aSubsetOf0(W1_213,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_967]) ).
tff(c_976,plain,
! [W1_215] :
( sdtlseqdt0(sbrdtbr0(W1_215),sz00)
| ~ aSubsetOf0(W1_215,slcrc0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_973]) ).
tff(c_979,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_976]) ).
tff(c_980,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(splitLeft,[status(thm)],[c_979]) ).
tff(c_983,plain,
~ aSet0(slcrc0),
inference(resolution,[status(thm)],[c_952,c_980]) ).
tff(c_990,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_983]) ).
tff(c_991,plain,
sdtlseqdt0(sz00,sz00),
inference(splitRight,[status(thm)],[c_979]) ).
tff(c_42760,plain,
! [W0_1017,W1_1018,W2_1019] :
( ( '#skF_3'(W0_1017,W1_1018,W2_1019) = W1_1018 )
| aElementOf0('#skF_3'(W0_1017,W1_1018,W2_1019),W0_1017)
| aElementOf0('#skF_4'(W0_1017,W1_1018,W2_1019),W2_1019)
| ( sdtpldt0(W0_1017,W1_1018) = W2_1019 )
| ~ aSet0(W2_1019)
| ~ aElement0(W1_1018)
| ~ aSet0(W0_1017) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_42836,plain,
! [W0_1017,W1_1018] :
( ( '#skF_3'(W0_1017,W1_1018,slcrc0) = W1_1018 )
| aElementOf0('#skF_3'(W0_1017,W1_1018,slcrc0),W0_1017)
| ( sdtpldt0(W0_1017,W1_1018) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(W1_1018)
| ~ aSet0(W0_1017) ),
inference(resolution,[status(thm)],[c_42760,c_12]) ).
tff(c_53521,plain,
! [W0_1275,W1_1276] :
( ( '#skF_3'(W0_1275,W1_1276,slcrc0) = W1_1276 )
| aElementOf0('#skF_3'(W0_1275,W1_1276,slcrc0),W0_1275)
| ( sdtpldt0(W0_1275,W1_1276) = slcrc0 )
| ~ aElement0(W1_1276)
| ~ aSet0(W0_1275) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_42836]) ).
tff(c_53576,plain,
! [W1_1276] :
( ( '#skF_3'(slcrc0,W1_1276,slcrc0) = W1_1276 )
| ( sdtpldt0(slcrc0,W1_1276) = slcrc0 )
| ~ aElement0(W1_1276)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[c_53521,c_12]) ).
tff(c_53609,plain,
! [W1_1277] :
( ( '#skF_3'(slcrc0,W1_1277,slcrc0) = W1_1277 )
| ( sdtpldt0(slcrc0,W1_1277) = slcrc0 )
| ~ aElement0(W1_1277) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_53576]) ).
tff(c_53712,plain,
( ( '#skF_3'(slcrc0,sz00,slcrc0) = sz00 )
| ( sdtpldt0(slcrc0,sz00) = slcrc0 ) ),
inference(resolution,[status(thm)],[c_212,c_53609]) ).
tff(c_53714,plain,
sdtpldt0(slcrc0,sz00) = slcrc0,
inference(splitLeft,[status(thm)],[c_53712]) ).
tff(c_40933,plain,
! [W0_939,W1_940] :
( ( szszuzczcdt0(sbrdtbr0(W0_939)) = sbrdtbr0(sdtpldt0(W0_939,W1_940)) )
| aElementOf0(W1_940,W0_939)
| ~ aElement0(W1_940)
| ~ isFinite0(W0_939)
| ~ aSet0(W0_939) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_128,plain,
! [W0_81] :
( ~ sdtlseqdt0(szszuzczcdt0(W0_81),sz00)
| ~ aElementOf0(W0_81,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_41029,plain,
! [W0_939,W1_940] :
( ~ sdtlseqdt0(sbrdtbr0(sdtpldt0(W0_939,W1_940)),sz00)
| ~ aElementOf0(sbrdtbr0(W0_939),szNzAzT0)
| aElementOf0(W1_940,W0_939)
| ~ aElement0(W1_940)
| ~ isFinite0(W0_939)
| ~ aSet0(W0_939) ),
inference(superposition,[status(thm),theory(equality)],[c_40933,c_128]) ).
tff(c_53718,plain,
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(sz00,slcrc0)
| ~ aElement0(sz00)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_53714,c_41029]) ).
tff(c_53790,plain,
aElementOf0(sz00,slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_212,c_110,c_200,c_991,c_200,c_53718]) ).
tff(c_53792,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_53790]) ).
tff(c_53793,plain,
'#skF_3'(slcrc0,sz00,slcrc0) = sz00,
inference(splitRight,[status(thm)],[c_53712]) ).
tff(c_190,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_188,plain,
aSubsetOf0(xT,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_414]) ).
tff(c_194,plain,
aElementOf0(szmzizndt0(xS),xT),
inference(cnfTransformation,[status(thm)],[f_417]) ).
tff(c_552,plain,
! [W2_187,W0_188,W1_189] :
( aElementOf0(W2_187,W0_188)
| ~ aElementOf0(W2_187,W1_189)
| ~ aSubsetOf0(W1_189,W0_188)
| ~ aSet0(W0_188) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_578,plain,
! [W0_188] :
( aElementOf0(szmzizndt0(xS),W0_188)
| ~ aSubsetOf0(xT,W0_188)
| ~ aSet0(W0_188) ),
inference(resolution,[status(thm)],[c_194,c_552]) ).
tff(c_118,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = W0_75 )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_390,plain,
! [W0_160] :
( aElementOf0('#skF_7'(W0_160),szNzAzT0)
| ( sz00 = W0_160 )
| ~ aElementOf0(W0_160,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_122,plain,
! [W0_77] :
( ( szszuzczcdt0(W0_77) != W0_77 )
| ~ aElementOf0(W0_77,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_545,plain,
! [W0_186] :
( ( szszuzczcdt0('#skF_7'(W0_186)) != '#skF_7'(W0_186) )
| ( sz00 = W0_186 )
| ~ aElementOf0(W0_186,szNzAzT0) ),
inference(resolution,[status(thm)],[c_390,c_122]) ).
tff(c_1590,plain,
! [W0_259] :
( ( '#skF_7'(W0_259) != W0_259 )
| ( sz00 = W0_259 )
| ~ aElementOf0(W0_259,szNzAzT0)
| ( sz00 = W0_259 )
| ~ aElementOf0(W0_259,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_545]) ).
tff(c_1605,plain,
( ( '#skF_7'(szmzizndt0(xS)) != szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aSubsetOf0(xT,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_578,c_1590]) ).
tff(c_1640,plain,
( ( '#skF_7'(szmzizndt0(xS)) != szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_188,c_1605]) ).
tff(c_1685,plain,
~ aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1640]) ).
tff(c_1688,plain,
( ~ aSubsetOf0(xT,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_578,c_1685]) ).
tff(c_1692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_188,c_1688]) ).
tff(c_1694,plain,
aElementOf0(szmzizndt0(xS),szNzAzT0),
inference(splitRight,[status(thm)],[c_1640]) ).
tff(c_168,plain,
! [W0_111,W2_120] :
( sdtlseqdt0(szmzizndt0(W0_111),W2_120)
| ~ aElementOf0(W2_120,W0_111)
| ( slcrc0 = W0_111 )
| ~ aSubsetOf0(W0_111,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_120,plain,
! [W0_75] :
( aElementOf0('#skF_7'(W0_75),szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_407,plain,
! [W0_162] :
( ( szszuzczcdt0('#skF_7'(W0_162)) = W0_162 )
| ( sz00 = W0_162 )
| ~ aElementOf0(W0_162,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_1148,plain,
! [W0_229] :
( ~ sdtlseqdt0(W0_229,sz00)
| ~ aElementOf0('#skF_7'(W0_229),szNzAzT0)
| ( sz00 = W0_229 )
| ~ aElementOf0(W0_229,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_128]) ).
tff(c_1153,plain,
! [W0_230] :
( ~ sdtlseqdt0(W0_230,sz00)
| ( sz00 = W0_230 )
| ~ aElementOf0(W0_230,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_1148]) ).
tff(c_8680,plain,
! [W0_497] :
( ( szmzizndt0(W0_497) = sz00 )
| ~ aElementOf0(szmzizndt0(W0_497),szNzAzT0)
| ~ aElementOf0(sz00,W0_497)
| ( slcrc0 = W0_497 )
| ~ aSubsetOf0(W0_497,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_1153]) ).
tff(c_8704,plain,
( ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(sz00,xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1694,c_8680]) ).
tff(c_8740,plain,
( ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(sz00,xS)
| ( xS = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_8704]) ).
tff(c_8741,plain,
( ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(sz00,xS) ),
inference(negUnitSimplification,[status(thm)],[c_186,c_8740]) ).
tff(c_40260,plain,
~ aElementOf0(sz00,xS),
inference(splitLeft,[status(thm)],[c_8741]) ).
tff(c_192,plain,
aElementOf0(szmzizndt0(xT),xS),
inference(cnfTransformation,[status(thm)],[f_417]) ).
tff(c_577,plain,
! [W0_188] :
( aElementOf0(szmzizndt0(xT),W0_188)
| ~ aSubsetOf0(xS,W0_188)
| ~ aSet0(W0_188) ),
inference(resolution,[status(thm)],[c_192,c_552]) ).
tff(c_1611,plain,
( ( '#skF_7'(szmzizndt0(xT)) != szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_577,c_1590]) ).
tff(c_1647,plain,
( ( '#skF_7'(szmzizndt0(xT)) != szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_190,c_1611]) ).
tff(c_1809,plain,
~ aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1647]) ).
tff(c_1873,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_577,c_1809]) ).
tff(c_1877,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_190,c_1873]) ).
tff(c_1879,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(splitRight,[status(thm)],[c_1647]) ).
tff(c_8697,plain,
( ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(sz00,xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1879,c_8680]) ).
tff(c_8732,plain,
( ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(sz00,xT)
| ( xT = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_8697]) ).
tff(c_8733,plain,
( ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(sz00,xT) ),
inference(negUnitSimplification,[status(thm)],[c_184,c_8732]) ).
tff(c_8754,plain,
~ aElementOf0(sz00,xT),
inference(splitLeft,[status(thm)],[c_8733]) ).
tff(c_8756,plain,
~ aElementOf0(sz00,xS),
inference(splitLeft,[status(thm)],[c_8741]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_443,plain,
! [W0_167] :
( aElementOf0(szmzizndt0(W0_167),W0_167)
| ( slcrc0 = W0_167 )
| ~ aSubsetOf0(W0_167,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_112,plain,
! [W0_72] :
( ( szszuzczcdt0(W0_72) != sz00 )
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_460,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_443,c_112]) ).
tff(c_486,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_460]) ).
tff(c_494,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_486]) ).
tff(c_498,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_494]) ).
tff(c_500,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_460]) ).
tff(c_170,plain,
! [W0_111] :
( aElementOf0(szmzizndt0(W0_111),W0_111)
| ( slcrc0 = W0_111 )
| ~ aSubsetOf0(W0_111,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_286,plain,
! [W1_146,W0_147] :
( aElement0(W1_146)
| ~ aElementOf0(W1_146,W0_147)
| ~ aSet0(W0_147) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_289,plain,
! [W0_72] :
( aElement0(szszuzczcdt0(W0_72))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_286]) ).
tff(c_301,plain,
! [W0_72] :
( aElement0(szszuzczcdt0(W0_72))
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_289]) ).
tff(c_771,plain,
! [W0_199] :
( aElement0(W0_199)
| ~ aElementOf0('#skF_7'(W0_199),szNzAzT0)
| ( sz00 = W0_199 )
| ~ aElementOf0(W0_199,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_301]) ).
tff(c_776,plain,
! [W0_200] :
( aElement0(W0_200)
| ( sz00 = W0_200 )
| ~ aElementOf0(W0_200,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_771]) ).
tff(c_792,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ( szmzizndt0(szNzAzT0) = sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_170,c_776]) ).
tff(c_820,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ( szmzizndt0(szNzAzT0) = sz00 )
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_500,c_792]) ).
tff(c_831,plain,
szNzAzT0 = slcrc0,
inference(splitLeft,[status(thm)],[c_820]) ).
tff(c_464,plain,
! [W1_168,W0_169] :
( isFinite0(W1_168)
| ~ aSubsetOf0(W1_168,W0_169)
| ~ isFinite0(W0_169)
| ~ aSet0(W0_169) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_470,plain,
( isFinite0(xT)
| ~ isFinite0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_188,c_464]) ).
tff(c_477,plain,
( isFinite0(xT)
| ~ isFinite0(szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_470]) ).
tff(c_481,plain,
~ isFinite0(szNzAzT0),
inference(splitLeft,[status(thm)],[c_477]) ).
tff(c_841,plain,
~ isFinite0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_831,c_481]) ).
tff(c_869,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_841]) ).
tff(c_871,plain,
szNzAzT0 != slcrc0,
inference(splitRight,[status(thm)],[c_820]) ).
tff(c_174,plain,
! [W0_111,W1_117] :
( aElementOf0('#skF_9'(W0_111,W1_117),W0_111)
| ( szmzizndt0(W0_111) = W1_117 )
| ~ aElementOf0(W1_117,W0_111)
| ( slcrc0 = W0_111 )
| ~ aSubsetOf0(W0_111,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_126,plain,
! [W0_80] :
( sdtlseqdt0(sz00,W0_80)
| ~ aElementOf0(W0_80,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_2258,plain,
! [W1_278,W0_279] :
( ~ sdtlseqdt0(W1_278,'#skF_9'(W0_279,W1_278))
| ( szmzizndt0(W0_279) = W1_278 )
| ~ aElementOf0(W1_278,W0_279)
| ( slcrc0 = W0_279 )
| ~ aSubsetOf0(W0_279,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_6875,plain,
! [W0_442] :
( ( szmzizndt0(W0_442) = sz00 )
| ~ aElementOf0(sz00,W0_442)
| ( slcrc0 = W0_442 )
| ~ aSubsetOf0(W0_442,szNzAzT0)
| ~ aElementOf0('#skF_9'(W0_442,sz00),szNzAzT0) ),
inference(resolution,[status(thm)],[c_126,c_2258]) ).
tff(c_6879,plain,
( ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(sz00,szNzAzT0)
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_174,c_6875]) ).
tff(c_6882,plain,
( ( szmzizndt0(szNzAzT0) = sz00 )
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_500,c_110,c_6879]) ).
tff(c_6883,plain,
szmzizndt0(szNzAzT0) = sz00,
inference(negUnitSimplification,[status(thm)],[c_871,c_6882]) ).
tff(c_1614,plain,
( ( '#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_170,c_1590]) ).
tff(c_1650,plain,
( ( '#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_500,c_1614]) ).
tff(c_1651,plain,
( ( '#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_871,c_1650]) ).
tff(c_2041,plain,
~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1651]) ).
tff(c_2044,plain,
( ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_170,c_2041]) ).
tff(c_2047,plain,
szNzAzT0 = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_500,c_2044]) ).
tff(c_2049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_871,c_2047]) ).
tff(c_2050,plain,
( ( '#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szmzizndt0(szNzAzT0) = sz00 ) ),
inference(splitRight,[status(thm)],[c_1651]) ).
tff(c_2257,plain,
'#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0),
inference(splitLeft,[status(thm)],[c_2050]) ).
tff(c_6889,plain,
'#skF_7'(sz00) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6883,c_6883,c_2257]) ).
tff(c_573,plain,
! [W0_75,W0_188] :
( aElementOf0('#skF_7'(W0_75),W0_188)
| ~ aSubsetOf0(szNzAzT0,W0_188)
| ~ aSet0(W0_188)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_552]) ).
tff(c_232,plain,
! [W1_139,W0_140] :
( aSet0(W1_139)
| ~ aSubsetOf0(W1_139,W0_140)
| ~ aSet0(W0_140) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_241,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_190,c_232]) ).
tff(c_248,plain,
aSet0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_241]) ).
tff(c_292,plain,
( aElement0(szmzizndt0(xT))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_192,c_286]) ).
tff(c_304,plain,
aElement0(szmzizndt0(xT)),
inference(demodulation,[status(thm),theory(equality)],[c_248,c_292]) ).
tff(c_4887,plain,
! [W0_379,W1_380,W2_381] :
( ( '#skF_3'(W0_379,W1_380,W2_381) = W1_380 )
| aElementOf0('#skF_3'(W0_379,W1_380,W2_381),W0_379)
| aElementOf0('#skF_4'(W0_379,W1_380,W2_381),W2_381)
| ( sdtpldt0(W0_379,W1_380) = W2_381 )
| ~ aSet0(W2_381)
| ~ aElement0(W1_380)
| ~ aSet0(W0_379) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_4964,plain,
! [W0_379,W1_380] :
( ( '#skF_3'(W0_379,W1_380,slcrc0) = W1_380 )
| aElementOf0('#skF_3'(W0_379,W1_380,slcrc0),W0_379)
| ( sdtpldt0(W0_379,W1_380) = slcrc0 )
| ~ aSet0(slcrc0)
| ~ aElement0(W1_380)
| ~ aSet0(W0_379) ),
inference(resolution,[status(thm)],[c_4887,c_12]) ).
tff(c_16806,plain,
! [W0_665,W1_666] :
( ( '#skF_3'(W0_665,W1_666,slcrc0) = W1_666 )
| aElementOf0('#skF_3'(W0_665,W1_666,slcrc0),W0_665)
| ( sdtpldt0(W0_665,W1_666) = slcrc0 )
| ~ aElement0(W1_666)
| ~ aSet0(W0_665) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_4964]) ).
tff(c_16863,plain,
! [W1_666] :
( ( '#skF_3'(slcrc0,W1_666,slcrc0) = W1_666 )
| ( sdtpldt0(slcrc0,W1_666) = slcrc0 )
| ~ aElement0(W1_666)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[c_16806,c_12]) ).
tff(c_16897,plain,
! [W1_667] :
( ( '#skF_3'(slcrc0,W1_667,slcrc0) = W1_667 )
| ( sdtpldt0(slcrc0,W1_667) = slcrc0 )
| ~ aElement0(W1_667) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16863]) ).
tff(c_17003,plain,
( ( '#skF_3'(slcrc0,szmzizndt0(xT),slcrc0) = szmzizndt0(xT) )
| ( sdtpldt0(slcrc0,szmzizndt0(xT)) = slcrc0 ) ),
inference(resolution,[status(thm)],[c_304,c_16897]) ).
tff(c_17442,plain,
sdtpldt0(slcrc0,szmzizndt0(xT)) = slcrc0,
inference(splitLeft,[status(thm)],[c_17003]) ).
tff(c_2692,plain,
! [W0_300,W1_301] :
( ( szszuzczcdt0(sbrdtbr0(W0_300)) = sbrdtbr0(sdtpldt0(W0_300,W1_301)) )
| aElementOf0(W1_301,W0_300)
| ~ aElement0(W1_301)
| ~ isFinite0(W0_300)
| ~ aSet0(W0_300) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_2788,plain,
! [W0_300,W1_301] :
( ~ sdtlseqdt0(sbrdtbr0(sdtpldt0(W0_300,W1_301)),sz00)
| ~ aElementOf0(sbrdtbr0(W0_300),szNzAzT0)
| aElementOf0(W1_301,W0_300)
| ~ aElement0(W1_301)
| ~ isFinite0(W0_300)
| ~ aSet0(W0_300) ),
inference(superposition,[status(thm),theory(equality)],[c_2692,c_128]) ).
tff(c_17482,plain,
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szmzizndt0(xT),slcrc0)
| ~ aElement0(szmzizndt0(xT))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_17442,c_2788]) ).
tff(c_17565,plain,
aElementOf0(szmzizndt0(xT),slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_304,c_110,c_200,c_991,c_200,c_17482]) ).
tff(c_17567,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_17565]) ).
tff(c_17568,plain,
'#skF_3'(slcrc0,szmzizndt0(xT),slcrc0) = szmzizndt0(xT),
inference(splitRight,[status(thm)],[c_17003]) ).
tff(c_17865,plain,
! [W0_676] :
( ( '#skF_3'(slcrc0,szszuzczcdt0(W0_676),slcrc0) = szszuzczcdt0(W0_676) )
| ( sdtpldt0(slcrc0,szszuzczcdt0(W0_676)) = slcrc0 )
| ~ aElementOf0(W0_676,szNzAzT0) ),
inference(resolution,[status(thm)],[c_301,c_16897]) ).
tff(c_17877,plain,
! [W0_676] :
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szszuzczcdt0(W0_676),slcrc0)
| ~ aElement0(szszuzczcdt0(W0_676))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0)
| ( '#skF_3'(slcrc0,szszuzczcdt0(W0_676),slcrc0) = szszuzczcdt0(W0_676) )
| ~ aElementOf0(W0_676,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_17865,c_2788]) ).
tff(c_17977,plain,
! [W0_676] :
( aElementOf0(szszuzczcdt0(W0_676),slcrc0)
| ~ aElement0(szszuzczcdt0(W0_676))
| ( '#skF_3'(slcrc0,szszuzczcdt0(W0_676),slcrc0) = szszuzczcdt0(W0_676) )
| ~ aElementOf0(W0_676,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_110,c_200,c_991,c_200,c_17877]) ).
tff(c_18047,plain,
! [W0_679] :
( ~ aElement0(szszuzczcdt0(W0_679))
| ( '#skF_3'(slcrc0,szszuzczcdt0(W0_679),slcrc0) = szszuzczcdt0(W0_679) )
| ~ aElementOf0(W0_679,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_17977]) ).
tff(c_18113,plain,
! [W0_680] :
( ( '#skF_3'(slcrc0,szszuzczcdt0(W0_680),slcrc0) = szszuzczcdt0(W0_680) )
| ~ aElementOf0(W0_680,szNzAzT0) ),
inference(resolution,[status(thm)],[c_301,c_18047]) ).
tff(c_18685,plain,
! [W0_691] :
( ( szszuzczcdt0('#skF_7'(W0_691)) = '#skF_3'(slcrc0,W0_691,slcrc0) )
| ~ aElementOf0('#skF_7'(W0_691),szNzAzT0)
| ( sz00 = W0_691 )
| ~ aElementOf0(W0_691,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_18113]) ).
tff(c_18689,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = '#skF_3'(slcrc0,W0_75,slcrc0) )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_18685]) ).
tff(c_18700,plain,
! [W0_694] :
( ( szszuzczcdt0('#skF_7'(W0_694)) = '#skF_3'(slcrc0,W0_694,slcrc0) )
| ( sz00 = W0_694 )
| ~ aElementOf0(W0_694,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_18689]) ).
tff(c_19292,plain,
! [W0_699] :
( ~ sdtlseqdt0('#skF_3'(slcrc0,W0_699,slcrc0),sz00)
| ~ aElementOf0('#skF_7'(W0_699),szNzAzT0)
| ( sz00 = W0_699 )
| ~ aElementOf0(W0_699,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18700,c_128]) ).
tff(c_19310,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_17568,c_19292]) ).
tff(c_19324,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19310]) ).
tff(c_19330,plain,
~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_19324]) ).
tff(c_19345,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_19330]) ).
tff(c_19351,plain,
szmzizndt0(xT) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_108,c_500,c_19345]) ).
tff(c_19379,plain,
aElementOf0(sz00,xS),
inference(demodulation,[status(thm),theory(equality)],[c_19351,c_192]) ).
tff(c_19386,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8756,c_19379]) ).
tff(c_19388,plain,
aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0),
inference(splitRight,[status(thm)],[c_19324]) ).
tff(c_146,plain,
! [W0_95] :
( iLess0(W0_95,szszuzczcdt0(W0_95))
| ~ aElementOf0(W0_95,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_314]) ).
tff(c_26439,plain,
! [W0_787] :
( iLess0('#skF_7'(W0_787),'#skF_3'(slcrc0,W0_787,slcrc0))
| ~ aElementOf0('#skF_7'(W0_787),szNzAzT0)
| ( sz00 = W0_787 )
| ~ aElementOf0(W0_787,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18700,c_146]) ).
tff(c_26463,plain,
( iLess0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_17568,c_26439]) ).
tff(c_26483,plain,
( iLess0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_26463]) ).
tff(c_26489,plain,
szmzizndt0(xT) = sz00,
inference(splitLeft,[status(thm)],[c_26483]) ).
tff(c_19387,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| ( szmzizndt0(xT) = sz00 ) ),
inference(splitRight,[status(thm)],[c_19324]) ).
tff(c_19614,plain,
~ sdtlseqdt0(szmzizndt0(xT),sz00),
inference(splitLeft,[status(thm)],[c_19387]) ).
tff(c_26504,plain,
~ sdtlseqdt0(sz00,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_26489,c_19614]) ).
tff(c_26536,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_26504]) ).
tff(c_26538,plain,
szmzizndt0(xT) != sz00,
inference(splitRight,[status(thm)],[c_26483]) ).
tff(c_18695,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = '#skF_3'(slcrc0,W0_75,slcrc0) )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_18689]) ).
tff(c_1878,plain,
( ( '#skF_7'(szmzizndt0(xT)) != szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 ) ),
inference(splitRight,[status(thm)],[c_1647]) ).
tff(c_1907,plain,
'#skF_7'(szmzizndt0(xT)) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_1878]) ).
tff(c_134,plain,
! [W0_84] :
( sdtlseqdt0(W0_84,szszuzczcdt0(W0_84))
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_26661,plain,
! [W0_790] :
( sdtlseqdt0('#skF_7'(W0_790),'#skF_3'(slcrc0,W0_790,slcrc0))
| ~ aElementOf0('#skF_7'(W0_790),szNzAzT0)
| ( sz00 = W0_790 )
| ~ aElementOf0(W0_790,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18700,c_134]) ).
tff(c_26694,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_17568,c_26661]) ).
tff(c_26718,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_26694]) ).
tff(c_26719,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT)),
inference(negUnitSimplification,[status(thm)],[c_26538,c_26718]) ).
tff(c_138,plain,
! [W1_87,W0_86] :
( ( W1_87 = W0_86 )
| ~ sdtlseqdt0(W1_87,W0_86)
| ~ sdtlseqdt0(W0_86,W1_87)
| ~ aElementOf0(W1_87,szNzAzT0)
| ~ aElementOf0(W0_86,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_26733,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szmzizndt0(xT),'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_26719,c_138]) ).
tff(c_26746,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szmzizndt0(xT),'#skF_7'(szmzizndt0(xT))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_26733]) ).
tff(c_26747,plain,
~ sdtlseqdt0(szmzizndt0(xT),'#skF_7'(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_1907,c_26746]) ).
tff(c_18787,plain,
! [W0_75] :
( ( '#skF_3'(slcrc0,W0_75,slcrc0) = W0_75 )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_18700]) ).
tff(c_19390,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_19388,c_18787]) ).
tff(c_19418,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_19390]) ).
tff(c_20225,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitLeft,[status(thm)],[c_19418]) ).
tff(c_20233,plain,
szmzizndt0(xT) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_20225,c_1907]) ).
tff(c_20285,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_20225,c_118]) ).
tff(c_20326,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_20285]) ).
tff(c_20430,plain,
szszuzczcdt0(sz00) = szmzizndt0(xT),
inference(negUnitSimplification,[status(thm)],[c_20233,c_20326]) ).
tff(c_238,plain,
( aSet0(xT)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_188,c_232]) ).
tff(c_245,plain,
aSet0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_238]) ).
tff(c_295,plain,
( aElement0(szmzizndt0(xS))
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_194,c_286]) ).
tff(c_307,plain,
aElement0(szmzizndt0(xS)),
inference(demodulation,[status(thm),theory(equality)],[c_245,c_295]) ).
tff(c_17002,plain,
( ( '#skF_3'(slcrc0,szmzizndt0(xS),slcrc0) = szmzizndt0(xS) )
| ( sdtpldt0(slcrc0,szmzizndt0(xS)) = slcrc0 ) ),
inference(resolution,[status(thm)],[c_307,c_16897]) ).
tff(c_17309,plain,
sdtpldt0(slcrc0,szmzizndt0(xS)) = slcrc0,
inference(splitLeft,[status(thm)],[c_17002]) ).
tff(c_17313,plain,
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szmzizndt0(xS),slcrc0)
| ~ aElement0(szmzizndt0(xS))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_17309,c_2788]) ).
tff(c_17396,plain,
aElementOf0(szmzizndt0(xS),slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_307,c_110,c_200,c_991,c_200,c_17313]) ).
tff(c_17398,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_17396]) ).
tff(c_17399,plain,
'#skF_3'(slcrc0,szmzizndt0(xS),slcrc0) = szmzizndt0(xS),
inference(splitRight,[status(thm)],[c_17002]) ).
tff(c_19313,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_17399,c_19292]) ).
tff(c_19326,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19313]) ).
tff(c_19748,plain,
~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_19326]) ).
tff(c_19751,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_19748]) ).
tff(c_19757,plain,
szmzizndt0(xS) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_108,c_500,c_19751]) ).
tff(c_19797,plain,
aElementOf0(sz00,xT),
inference(demodulation,[status(thm),theory(equality)],[c_19757,c_194]) ).
tff(c_19804,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8754,c_19797]) ).
tff(c_19806,plain,
aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0),
inference(splitRight,[status(thm)],[c_19326]) ).
tff(c_1663,plain,
! [W0_260,W1_261] :
( sdtlseqdt0(W0_260,W1_261)
| ~ sdtlseqdt0(szszuzczcdt0(W0_260),szszuzczcdt0(W1_261))
| ~ aElementOf0(W1_261,szNzAzT0)
| ~ aElementOf0(W0_260,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_1670,plain,
! [W0_75,W1_261] :
( sdtlseqdt0('#skF_7'(W0_75),W1_261)
| ~ sdtlseqdt0(W0_75,szszuzczcdt0(W1_261))
| ~ aElementOf0(W1_261,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_75),szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_19808,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_19806,c_18787]) ).
tff(c_19836,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_19808]) ).
tff(c_22638,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitLeft,[status(thm)],[c_19836]) ).
tff(c_24,plain,
! [W2_23,W0_14,W1_20] :
( aElementOf0(W2_23,W0_14)
| ~ aElementOf0(W2_23,W1_20)
| ~ aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_19852,plain,
! [W0_14] :
( aElementOf0('#skF_7'(szmzizndt0(xS)),W0_14)
| ~ aSubsetOf0(szNzAzT0,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_19806,c_24]) ).
tff(c_116,plain,
! [W1_74,W0_73] :
( ( W1_74 = W0_73 )
| ( szszuzczcdt0(W1_74) != szszuzczcdt0(W0_73) )
| ~ aElementOf0(W1_74,szNzAzT0)
| ~ aElementOf0(W0_73,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_20525,plain,
! [W0_73] :
( ( sz00 = W0_73 )
| ( szszuzczcdt0(W0_73) != szmzizndt0(xT) )
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_73,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_20430,c_116]) ).
tff(c_21430,plain,
! [W0_728] :
( ( sz00 = W0_728 )
| ( szszuzczcdt0(W0_728) != szmzizndt0(xT) )
| ~ aElementOf0(W0_728,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_20525]) ).
tff(c_21441,plain,
( ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) != szmzizndt0(xT) )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_19852,c_21430]) ).
tff(c_21595,plain,
( ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) != szmzizndt0(xT) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_21441]) ).
tff(c_22212,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xS))) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_21595]) ).
tff(c_22639,plain,
szszuzczcdt0(sz00) != szmzizndt0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_22638,c_22212]) ).
tff(c_22650,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20430,c_22639]) ).
tff(c_22652,plain,
'#skF_7'(szmzizndt0(xS)) != sz00,
inference(splitRight,[status(thm)],[c_19836]) ).
tff(c_22651,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_19836]) ).
tff(c_18778,plain,
! [W0_694] :
( ~ sdtlseqdt0('#skF_3'(slcrc0,W0_694,slcrc0),sz00)
| ~ aElementOf0('#skF_7'(W0_694),szNzAzT0)
| ( sz00 = W0_694 )
| ~ aElementOf0(W0_694,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18700,c_128]) ).
tff(c_22675,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_22651,c_18778]) ).
tff(c_22715,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_22675]) ).
tff(c_22716,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_22652,c_22715]) ).
tff(c_22742,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_22716]) ).
tff(c_22745,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_22742]) ).
tff(c_22751,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_108,c_500,c_22745]) ).
tff(c_22753,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_22652,c_22751]) ).
tff(c_22754,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00),
inference(splitRight,[status(thm)],[c_22716]) ).
tff(c_22758,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(sz00))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_1670,c_22754]) ).
tff(c_22761,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_110,c_20430,c_22758]) ).
tff(c_23176,plain,
~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_22761]) ).
tff(c_23182,plain,
( ~ aElementOf0(szmzizndt0(xT),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_23176]) ).
tff(c_23188,plain,
xS = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_192,c_23182]) ).
tff(c_23190,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_23188]) ).
tff(c_23191,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_22761]) ).
tff(c_21557,plain,
( ( szmzizndt0(xS) = sz00 )
| ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT) )
| ~ aSubsetOf0(xT,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_578,c_21430]) ).
tff(c_21678,plain,
( ( szmzizndt0(xS) = sz00 )
| ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_188,c_21557]) ).
tff(c_21769,plain,
szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_21678]) ).
tff(c_23202,plain,
szszuzczcdt0(sz00) != szmzizndt0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_23191,c_21769]) ).
tff(c_23238,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_20430,c_23202]) ).
tff(c_23239,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitRight,[status(thm)],[c_21595]) ).
tff(c_1693,plain,
( ( '#skF_7'(szmzizndt0(xS)) != szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 ) ),
inference(splitRight,[status(thm)],[c_1640]) ).
tff(c_1722,plain,
'#skF_7'(szmzizndt0(xS)) != szmzizndt0(xS),
inference(splitLeft,[status(thm)],[c_1693]) ).
tff(c_23248,plain,
szmzizndt0(xS) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_23239,c_1722]) ).
tff(c_196,plain,
szmzizndt0(xT) != szmzizndt0(xS),
inference(cnfTransformation,[status(thm)],[f_419]) ).
tff(c_23302,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_23239,c_118]) ).
tff(c_23344,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_20430,c_23302]) ).
tff(c_23345,plain,
szmzizndt0(xS) = sz00,
inference(negUnitSimplification,[status(thm)],[c_196,c_23344]) ).
tff(c_23441,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23248,c_23345]) ).
tff(c_23442,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_21678]) ).
tff(c_19805,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),sz00)
| ( szmzizndt0(xS) = sz00 ) ),
inference(splitRight,[status(thm)],[c_19326]) ).
tff(c_20032,plain,
~ sdtlseqdt0(szmzizndt0(xS),sz00),
inference(splitLeft,[status(thm)],[c_19805]) ).
tff(c_23447,plain,
~ sdtlseqdt0(sz00,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_23442,c_20032]) ).
tff(c_23479,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_23447]) ).
tff(c_23481,plain,
'#skF_7'(szmzizndt0(xT)) != sz00,
inference(splitRight,[status(thm)],[c_19418]) ).
tff(c_23480,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)),
inference(splitRight,[status(thm)],[c_19418]) ).
tff(c_23523,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_23480,c_18778]) ).
tff(c_23557,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_23523]) ).
tff(c_23558,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_23481,c_23557]) ).
tff(c_23729,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_23558]) ).
tff(c_23732,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_23729]) ).
tff(c_23738,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_108,c_500,c_23732]) ).
tff(c_23740,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_23481,c_23738]) ).
tff(c_23742,plain,
aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitRight,[status(thm)],[c_23558]) ).
tff(c_1136,plain,
! [W1_226,W0_227] :
( sdtlseqdt0(szszuzczcdt0(W1_226),W0_227)
| sdtlseqdt0(W0_227,W1_226)
| ~ aElementOf0(W1_226,szNzAzT0)
| ~ aElementOf0(W0_227,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1143,plain,
! [W0_75,W0_227] :
( sdtlseqdt0(W0_75,W0_227)
| sdtlseqdt0(W0_227,'#skF_7'(W0_75))
| ~ aElementOf0('#skF_7'(W0_75),szNzAzT0)
| ~ aElementOf0(W0_227,szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1136]) ).
tff(c_548,plain,
! [W0_75] :
( ( '#skF_7'(W0_75) != W0_75 )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_545]) ).
tff(c_19401,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_19388,c_548]) ).
tff(c_19432,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_19401]) ).
tff(c_19747,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_19432]) ).
tff(c_26676,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_23480,c_26661]) ).
tff(c_26709,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),'#skF_7'(szmzizndt0(xT)))
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_23742,c_26676]) ).
tff(c_26710,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),'#skF_7'(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_23481,c_26709]) ).
tff(c_27078,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'('#skF_7'(szmzizndt0(xT))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_26710,c_138]) ).
tff(c_27091,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'('#skF_7'(szmzizndt0(xT)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_23742,c_27078]) ).
tff(c_27092,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'('#skF_7'(szmzizndt0(xT)))),
inference(negUnitSimplification,[status(thm)],[c_19747,c_27091]) ).
tff(c_27153,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_1143,c_27092]) ).
tff(c_27156,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'(szmzizndt0(xT)))
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_23742,c_27153]) ).
tff(c_27157,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_23481,c_27156]) ).
tff(c_1723,plain,
! [W0_262,W1_263] :
( sdtlseqdt0(szszuzczcdt0(W0_262),szszuzczcdt0(W1_263))
| ~ sdtlseqdt0(W0_262,W1_263)
| ~ aElementOf0(W1_263,szNzAzT0)
| ~ aElementOf0(W0_262,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_1731,plain,
! [W0_75,W1_263] :
( sdtlseqdt0(W0_75,szszuzczcdt0(W1_263))
| ~ sdtlseqdt0('#skF_7'(W0_75),W1_263)
| ~ aElementOf0(W1_263,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_75),szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1723]) ).
tff(c_27160,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0('#skF_7'(szmzizndt0(xT))))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_27157,c_1731]) ).
tff(c_27169,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0('#skF_7'(szmzizndt0(xT))))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_27160]) ).
tff(c_27170,plain,
sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0('#skF_7'(szmzizndt0(xT)))),
inference(negUnitSimplification,[status(thm)],[c_26538,c_27169]) ).
tff(c_142,plain,
! [W1_92,W0_91] :
( sdtlseqdt0(szszuzczcdt0(W1_92),W0_91)
| sdtlseqdt0(W0_91,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_1346,plain,
! [W1_245,W0_246] :
( ( W1_245 = W0_246 )
| ~ sdtlseqdt0(W1_245,W0_246)
| ~ sdtlseqdt0(W0_246,W1_245)
| ~ aElementOf0(W1_245,szNzAzT0)
| ~ aElementOf0(W0_246,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_1371,plain,
! [W1_92,W0_91] :
( ( szszuzczcdt0(W1_92) = W0_91 )
| ~ sdtlseqdt0(W0_91,szszuzczcdt0(W1_92))
| ~ aElementOf0(szszuzczcdt0(W1_92),szNzAzT0)
| sdtlseqdt0(W0_91,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_1346]) ).
tff(c_27286,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = szmzizndt0(xT) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xT),'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_27170,c_1371]) ).
tff(c_27301,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = szmzizndt0(xT) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xT),'#skF_7'(szmzizndt0(xT))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_27286]) ).
tff(c_27302,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = szmzizndt0(xT) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_26747,c_27301]) ).
tff(c_34342,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_27302]) ).
tff(c_34345,plain,
( ~ aElementOf0('#skF_3'(slcrc0,szmzizndt0(xT),slcrc0),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18695,c_34342]) ).
tff(c_34356,plain,
szmzizndt0(xT) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_1879,c_17568,c_34345]) ).
tff(c_34358,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26538,c_34356]) ).
tff(c_34359,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = szmzizndt0(xT),
inference(splitRight,[status(thm)],[c_27302]) ).
tff(c_26466,plain,
( iLess0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_17399,c_26439]) ).
tff(c_26485,plain,
( iLess0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_26466]) ).
tff(c_26611,plain,
szmzizndt0(xS) = sz00,
inference(splitLeft,[status(thm)],[c_26485]) ).
tff(c_26626,plain,
~ sdtlseqdt0(sz00,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_26611,c_20032]) ).
tff(c_26658,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_26626]) ).
tff(c_26660,plain,
szmzizndt0(xS) != sz00,
inference(splitRight,[status(thm)],[c_26485]) ).
tff(c_24296,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitLeft,[status(thm)],[c_19836]) ).
tff(c_24305,plain,
szmzizndt0(xS) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_24296,c_1722]) ).
tff(c_24357,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_24296,c_118]) ).
tff(c_24398,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_24357]) ).
tff(c_24588,plain,
szszuzczcdt0(sz00) = szmzizndt0(xS),
inference(negUnitSimplification,[status(thm)],[c_24305,c_24398]) ).
tff(c_25204,plain,
! [W0_773,W1_774] :
( sdtlseqdt0('#skF_7'(W0_773),W1_774)
| ~ sdtlseqdt0(W0_773,szszuzczcdt0(W1_774))
| ~ aElementOf0(W1_774,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_773),szNzAzT0)
| ( sz00 = W0_773 )
| ~ aElementOf0(W0_773,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_23741,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00),
inference(splitRight,[status(thm)],[c_23558]) ).
tff(c_25207,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(sz00))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_25204,c_23741]) ).
tff(c_25262,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_110,c_24588,c_25207]) ).
tff(c_25563,plain,
~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
inference(splitLeft,[status(thm)],[c_25262]) ).
tff(c_25762,plain,
( ~ aElementOf0(szmzizndt0(xS),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_25563]) ).
tff(c_25765,plain,
xT = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_188,c_194,c_25762]) ).
tff(c_25767,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_25765]) ).
tff(c_25768,plain,
szmzizndt0(xT) = sz00,
inference(splitRight,[status(thm)],[c_25262]) ).
tff(c_25783,plain,
~ sdtlseqdt0(sz00,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_25768,c_19614]) ).
tff(c_25815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_25783]) ).
tff(c_25817,plain,
'#skF_7'(szmzizndt0(xS)) != sz00,
inference(splitRight,[status(thm)],[c_19836]) ).
tff(c_25816,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_19836]) ).
tff(c_25898,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_25816,c_18778]) ).
tff(c_25941,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_25898]) ).
tff(c_25942,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_25817,c_25941]) ).
tff(c_25968,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_25942]) ).
tff(c_25971,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_25968]) ).
tff(c_25977,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_108,c_500,c_25971]) ).
tff(c_25979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_25817,c_25977]) ).
tff(c_25981,plain,
aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitRight,[status(thm)],[c_25942]) ).
tff(c_26673,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_25816,c_26661]) ).
tff(c_26706,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS)))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_25981,c_26673]) ).
tff(c_26707,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_25817,c_26706]) ).
tff(c_27095,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szszuzczcdt0('#skF_7'(szmzizndt0(xS))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_26707,c_1731]) ).
tff(c_27104,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szszuzczcdt0('#skF_7'(szmzizndt0(xS))))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_25981,c_27095]) ).
tff(c_27105,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szszuzczcdt0('#skF_7'(szmzizndt0(xS)))),
inference(negUnitSimplification,[status(thm)],[c_25817,c_27104]) ).
tff(c_27332,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_3'(slcrc0,szmzizndt0(xS),slcrc0))
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18695,c_27105]) ).
tff(c_27355,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_17399,c_27332]) ).
tff(c_27356,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS)),
inference(negUnitSimplification,[status(thm)],[c_26660,c_27355]) ).
tff(c_27368,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_27356,c_138]) ).
tff(c_27381,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_27368]) ).
tff(c_27382,plain,
~ sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_1722,c_27381]) ).
tff(c_19819,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) != '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_19806,c_548]) ).
tff(c_19850,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) != '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_19819]) ).
tff(c_20190,plain,
'#skF_7'('#skF_7'(szmzizndt0(xS))) != '#skF_7'(szmzizndt0(xS)),
inference(splitLeft,[status(thm)],[c_19850]) ).
tff(c_27101,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_26707,c_138]) ).
tff(c_27114,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_25981,c_27101]) ).
tff(c_27115,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS)))),
inference(negUnitSimplification,[status(thm)],[c_20190,c_27114]) ).
tff(c_27738,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_1143,c_27115]) ).
tff(c_27741,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'(szmzizndt0(xS)))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_25981,c_27738]) ).
tff(c_27742,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_25817,c_27741]) ).
tff(c_27745,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'(szmzizndt0(xS))))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_27742,c_1731]) ).
tff(c_27754,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'(szmzizndt0(xS))))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_27745]) ).
tff(c_27755,plain,
sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'(szmzizndt0(xS)))),
inference(negUnitSimplification,[status(thm)],[c_26660,c_27754]) ).
tff(c_27768,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_27755,c_1371]) ).
tff(c_27783,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_27768]) ).
tff(c_27784,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_27382,c_27783]) ).
tff(c_35668,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_27784]) ).
tff(c_35671,plain,
( ~ aElementOf0('#skF_3'(slcrc0,szmzizndt0(xS),slcrc0),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18695,c_35668]) ).
tff(c_35682,plain,
szmzizndt0(xS) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_1694,c_17399,c_35671]) ).
tff(c_35684,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_26660,c_35682]) ).
tff(c_35685,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS),
inference(splitRight,[status(thm)],[c_27784]) ).
tff(c_35857,plain,
! [W0_73] :
( ( W0_73 = '#skF_7'(szmzizndt0(xS)) )
| ( szszuzczcdt0(W0_73) != szmzizndt0(xS) )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(W0_73,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_35685,c_116]) ).
tff(c_36212,plain,
! [W0_885] :
( ( W0_885 = '#skF_7'(szmzizndt0(xS)) )
| ( szszuzczcdt0(W0_885) != szmzizndt0(xS) )
| ~ aElementOf0(W0_885,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_35857]) ).
tff(c_36373,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xT) )
| ( szszuzczcdt0(szmzizndt0(xT)) != szmzizndt0(xS) )
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_577,c_36212]) ).
tff(c_36545,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xT) )
| ( szszuzczcdt0(szmzizndt0(xT)) != szmzizndt0(xS) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_190,c_36373]) ).
tff(c_36677,plain,
szszuzczcdt0(szmzizndt0(xT)) != szmzizndt0(xS),
inference(splitLeft,[status(thm)],[c_36545]) ).
tff(c_576,plain,
! [W0_72,W0_188] :
( aElementOf0(szszuzczcdt0(W0_72),W0_188)
| ~ aSubsetOf0(szNzAzT0,W0_188)
| ~ aSet0(W0_188)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_552]) ).
tff(c_594,plain,
! [W0_191] :
( aElementOf0(szmzizndt0(xT),W0_191)
| ~ aSubsetOf0(xS,W0_191)
| ~ aSet0(W0_191) ),
inference(resolution,[status(thm)],[c_192,c_552]) ).
tff(c_615,plain,
( ( szszuzczcdt0(szmzizndt0(xT)) != szmzizndt0(xT) )
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_594,c_122]) ).
tff(c_633,plain,
szszuzczcdt0(szmzizndt0(xT)) != szmzizndt0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_190,c_615]) ).
tff(c_26727,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_26719,c_1731]) ).
tff(c_26736,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xT)))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_26727]) ).
tff(c_26737,plain,
sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_26538,c_26736]) ).
tff(c_26753,plain,
( ( szszuzczcdt0(szmzizndt0(xT)) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_26737,c_138]) ).
tff(c_26762,plain,
( ( szszuzczcdt0(szmzizndt0(xT)) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_26753]) ).
tff(c_26763,plain,
( ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_633,c_26762]) ).
tff(c_29102,plain,
~ aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_26763]) ).
tff(c_29105,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_576,c_29102]) ).
tff(c_29112,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_108,c_500,c_29105]) ).
tff(c_29114,plain,
aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0),
inference(splitRight,[status(thm)],[c_26763]) ).
tff(c_431,plain,
! [W0_162] :
( sdtlseqdt0('#skF_7'(W0_162),W0_162)
| ~ aElementOf0('#skF_7'(W0_162),szNzAzT0)
| ( sz00 = W0_162 )
| ~ aElementOf0(W0_162,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_407,c_134]) ).
tff(c_140,plain,
! [W0_88,W2_90,W1_89] :
( sdtlseqdt0(W0_88,W2_90)
| ~ sdtlseqdt0(W1_89,W2_90)
| ~ sdtlseqdt0(W0_88,W1_89)
| ~ aElementOf0(W2_90,szNzAzT0)
| ~ aElementOf0(W1_89,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_26731,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,szmzizndt0(xT))
| ~ sdtlseqdt0(W0_88,'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_26719,c_140]) ).
tff(c_31932,plain,
! [W0_839] :
( sdtlseqdt0(W0_839,szmzizndt0(xT))
| ~ sdtlseqdt0(W0_839,'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0(W0_839,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_1879,c_26731]) ).
tff(c_31962,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_431,c_31932]) ).
tff(c_32005,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),szmzizndt0(xT))
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_23742,c_31962]) ).
tff(c_32006,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),szmzizndt0(xT)),
inference(negUnitSimplification,[status(thm)],[c_23481,c_32005]) ).
tff(c_32069,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szszuzczcdt0(szmzizndt0(xT)))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_32006,c_1731]) ).
tff(c_32078,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szszuzczcdt0(szmzizndt0(xT)))
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_19388,c_23742,c_1879,c_32069]) ).
tff(c_32079,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szszuzczcdt0(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_23481,c_32078]) ).
tff(c_3215,plain,
! [W0_314,W2_315,W1_316] :
( sdtlseqdt0(W0_314,W2_315)
| ~ sdtlseqdt0(W1_316,W2_315)
| ~ sdtlseqdt0(W0_314,W1_316)
| ~ aElementOf0(W2_315,szNzAzT0)
| ~ aElementOf0(W1_316,szNzAzT0)
| ~ aElementOf0(W0_314,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_37414,plain,
! [W0_896,W0_897,W1_898] :
( sdtlseqdt0(W0_896,W0_897)
| ~ sdtlseqdt0(W0_896,szszuzczcdt0(W1_898))
| ~ aElementOf0(szszuzczcdt0(W1_898),szNzAzT0)
| ~ aElementOf0(W0_896,szNzAzT0)
| sdtlseqdt0(W0_897,W1_898)
| ~ aElementOf0(W1_898,szNzAzT0)
| ~ aElementOf0(W0_897,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_3215]) ).
tff(c_37434,plain,
! [W0_897] :
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),W0_897)
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| sdtlseqdt0(W0_897,szmzizndt0(xT))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(W0_897,szNzAzT0) ),
inference(resolution,[status(thm)],[c_32079,c_37414]) ).
tff(c_38921,plain,
! [W0_908] :
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),W0_908)
| sdtlseqdt0(W0_908,szmzizndt0(xT))
| ~ aElementOf0(W0_908,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_29114,c_37434]) ).
tff(c_38965,plain,
! [W0_908] :
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(W0_908))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| sdtlseqdt0(W0_908,szmzizndt0(xT))
| ~ aElementOf0(W0_908,szNzAzT0) ),
inference(resolution,[status(thm)],[c_38921,c_1731]) ).
tff(c_39050,plain,
! [W0_908] :
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(W0_908))
| ( szmzizndt0(xT) = sz00 )
| sdtlseqdt0(W0_908,szmzizndt0(xT))
| ~ aElementOf0(W0_908,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_19388,c_38965]) ).
tff(c_39372,plain,
! [W0_911] :
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(W0_911))
| sdtlseqdt0(W0_911,szmzizndt0(xT))
| ~ aElementOf0(W0_911,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_26538,c_39050]) ).
tff(c_39400,plain,
( sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_35685,c_39372]) ).
tff(c_39445,plain,
( sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xT)) ),
inference(demodulation,[status(thm),theory(equality)],[c_19806,c_39400]) ).
tff(c_39448,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_39445]) ).
tff(c_39454,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xT)))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_39448,c_1731]) ).
tff(c_39467,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xT)))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_1879,c_39454]) ).
tff(c_39468,plain,
sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_26660,c_39467]) ).
tff(c_39482,plain,
( ( szszuzczcdt0(szmzizndt0(xT)) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xT)),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_39468,c_1371]) ).
tff(c_39494,plain,
( ( szszuzczcdt0(szmzizndt0(xT)) = szmzizndt0(xS) )
| sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_1879,c_29114,c_39482]) ).
tff(c_39495,plain,
sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(negUnitSimplification,[status(thm)],[c_36677,c_39494]) ).
tff(c_1383,plain,
! [W0_111,W2_120] :
( ( szmzizndt0(W0_111) = W2_120 )
| ~ sdtlseqdt0(W2_120,szmzizndt0(W0_111))
| ~ aElementOf0(szmzizndt0(W0_111),szNzAzT0)
| ~ aElementOf0(W2_120,szNzAzT0)
| ~ aElementOf0(W2_120,W0_111)
| ( slcrc0 = W0_111 )
| ~ aSubsetOf0(W0_111,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_1346]) ).
tff(c_39509,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_39495,c_1383]) ).
tff(c_39518,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ( xT = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_194,c_1694,c_1879,c_39509]) ).
tff(c_39520,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_196,c_39518]) ).
tff(c_39521,plain,
sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_39445]) ).
tff(c_39852,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_39521,c_1383]) ).
tff(c_39861,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ( xS = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_192,c_1879,c_1694,c_39852]) ).
tff(c_39863,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_196,c_39861]) ).
tff(c_39864,plain,
'#skF_7'(szmzizndt0(xS)) = szmzizndt0(xT),
inference(splitRight,[status(thm)],[c_36545]) ).
tff(c_27946,plain,
! [W0_804,W1_805] :
( sdtlseqdt0('#skF_7'(W0_804),W1_805)
| ~ sdtlseqdt0(W0_804,szszuzczcdt0(W1_805))
| ~ aElementOf0(W1_805,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_804),szNzAzT0)
| ( sz00 = W0_804 )
| ~ aElementOf0(W0_804,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_27949,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_27946,c_27115]) ).
tff(c_28016,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_19806,c_25981,c_27949]) ).
tff(c_28017,plain,
~ sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS))))),
inference(negUnitSimplification,[status(thm)],[c_26660,c_28016]) ).
tff(c_28833,plain,
( ~ aElementOf0(szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_28017]) ).
tff(c_28845,plain,
( ~ aElementOf0(szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))),xS)
| ( xS = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_28833]) ).
tff(c_28846,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))),xS),
inference(negUnitSimplification,[status(thm)],[c_186,c_28845]) ).
tff(c_39875,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),xS),
inference(demodulation,[status(thm),theory(equality)],[c_39864,c_28846]) ).
tff(c_39906,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_192,c_34359,c_39875]) ).
tff(c_39907,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitRight,[status(thm)],[c_19850]) ).
tff(c_39908,plain,
'#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_19850]) ).
tff(c_40048,plain,
'#skF_7'(sz00) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_39907,c_39907,c_39908]) ).
tff(c_40049,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6889,c_40048]) ).
tff(c_40050,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_19805]) ).
tff(c_40079,plain,
aElementOf0(sz00,xT),
inference(demodulation,[status(thm),theory(equality)],[c_40050,c_194]) ).
tff(c_40086,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8754,c_40079]) ).
tff(c_40087,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitRight,[status(thm)],[c_19432]) ).
tff(c_40088,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)),
inference(splitRight,[status(thm)],[c_19432]) ).
tff(c_40196,plain,
'#skF_7'(sz00) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_40087,c_40087,c_40088]) ).
tff(c_40197,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_6889,c_40196]) ).
tff(c_40198,plain,
szmzizndt0(xT) = sz00,
inference(splitRight,[status(thm)],[c_19387]) ).
tff(c_40227,plain,
aElementOf0(sz00,xS),
inference(demodulation,[status(thm),theory(equality)],[c_40198,c_192]) ).
tff(c_40234,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8756,c_40227]) ).
tff(c_40235,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_8741]) ).
tff(c_40251,plain,
aElementOf0(sz00,xT),
inference(demodulation,[status(thm),theory(equality)],[c_40235,c_194]) ).
tff(c_40257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8754,c_40251]) ).
tff(c_40258,plain,
szmzizndt0(xT) = sz00,
inference(splitRight,[status(thm)],[c_8733]) ).
tff(c_40276,plain,
aElementOf0(sz00,xS),
inference(demodulation,[status(thm),theory(equality)],[c_40258,c_192]) ).
tff(c_40282,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_40260,c_40276]) ).
tff(c_40283,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_8741]) ).
tff(c_40300,plain,
szmzizndt0(xS) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_40258,c_196]) ).
tff(c_40501,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40283,c_40300]) ).
tff(c_40502,plain,
szmzizndt0(szNzAzT0) = sz00,
inference(splitRight,[status(thm)],[c_2050]) ).
tff(c_40503,plain,
'#skF_7'(szmzizndt0(szNzAzT0)) = szmzizndt0(szNzAzT0),
inference(splitRight,[status(thm)],[c_2050]) ).
tff(c_40548,plain,
'#skF_7'(sz00) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_40502,c_40502,c_40503]) ).
tff(c_1716,plain,
! [W0_14] :
( aElementOf0(szmzizndt0(xS),W0_14)
| ~ aSubsetOf0(szNzAzT0,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_1694,c_24]) ).
tff(c_41056,plain,
! [W1_940] :
( ( sbrdtbr0(sdtpldt0(slcrc0,W1_940)) = szszuzczcdt0(sz00) )
| aElementOf0(W1_940,slcrc0)
| ~ aElement0(W1_940)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_200,c_40933]) ).
tff(c_41060,plain,
! [W1_940] :
( ( sbrdtbr0(sdtpldt0(slcrc0,W1_940)) = szszuzczcdt0(sz00) )
| aElementOf0(W1_940,slcrc0)
| ~ aElement0(W1_940) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_41056]) ).
tff(c_41062,plain,
! [W1_941] :
( ( sbrdtbr0(sdtpldt0(slcrc0,W1_941)) = szszuzczcdt0(sz00) )
| ~ aElement0(W1_941) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_41060]) ).
tff(c_152,plain,
! [W0_97] :
( isFinite0(W0_97)
| ~ aElementOf0(sbrdtbr0(W0_97),szNzAzT0)
| ~ aSet0(W0_97) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_41109,plain,
! [W1_941] :
( isFinite0(sdtpldt0(slcrc0,W1_941))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aSet0(sdtpldt0(slcrc0,W1_941))
| ~ aElement0(W1_941) ),
inference(superposition,[status(thm),theory(equality)],[c_41062,c_152]) ).
tff(c_44907,plain,
~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0),
inference(splitLeft,[status(thm)],[c_41109]) ).
tff(c_44910,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[c_576,c_44907]) ).
tff(c_44917,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_500,c_44910]) ).
tff(c_44919,plain,
aElementOf0(szszuzczcdt0(sz00),szNzAzT0),
inference(splitRight,[status(thm)],[c_41109]) ).
tff(c_221,plain,
! [W0_136] :
( ( szszuzczcdt0(W0_136) != W0_136 )
| ~ aElementOf0(W0_136,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_225,plain,
szszuzczcdt0(sz00) != sz00,
inference(resolution,[status(thm)],[c_110,c_221]) ).
tff(c_53711,plain,
( ( '#skF_3'(slcrc0,szmzizndt0(xT),slcrc0) = szmzizndt0(xT) )
| ( sdtpldt0(slcrc0,szmzizndt0(xT)) = slcrc0 ) ),
inference(resolution,[status(thm)],[c_304,c_53609]) ).
tff(c_53993,plain,
sdtpldt0(slcrc0,szmzizndt0(xT)) = slcrc0,
inference(splitLeft,[status(thm)],[c_53711]) ).
tff(c_53997,plain,
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szmzizndt0(xT),slcrc0)
| ~ aElement0(szmzizndt0(xT))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_53993,c_41029]) ).
tff(c_54072,plain,
aElementOf0(szmzizndt0(xT),slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_304,c_110,c_200,c_991,c_200,c_53997]) ).
tff(c_54074,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_54072]) ).
tff(c_54075,plain,
'#skF_3'(slcrc0,szmzizndt0(xT),slcrc0) = szmzizndt0(xT),
inference(splitRight,[status(thm)],[c_53711]) ).
tff(c_54626,plain,
! [W0_1286] :
( ( '#skF_3'(slcrc0,szszuzczcdt0(W0_1286),slcrc0) = szszuzczcdt0(W0_1286) )
| ( sdtpldt0(slcrc0,szszuzczcdt0(W0_1286)) = slcrc0 )
| ~ aElementOf0(W0_1286,szNzAzT0) ),
inference(resolution,[status(thm)],[c_301,c_53609]) ).
tff(c_54638,plain,
! [W0_1286] :
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szszuzczcdt0(W0_1286),slcrc0)
| ~ aElement0(szszuzczcdt0(W0_1286))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0)
| ( '#skF_3'(slcrc0,szszuzczcdt0(W0_1286),slcrc0) = szszuzczcdt0(W0_1286) )
| ~ aElementOf0(W0_1286,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54626,c_41029]) ).
tff(c_54730,plain,
! [W0_1286] :
( aElementOf0(szszuzczcdt0(W0_1286),slcrc0)
| ~ aElement0(szszuzczcdt0(W0_1286))
| ( '#skF_3'(slcrc0,szszuzczcdt0(W0_1286),slcrc0) = szszuzczcdt0(W0_1286) )
| ~ aElementOf0(W0_1286,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_110,c_200,c_991,c_200,c_54638]) ).
tff(c_54797,plain,
! [W0_1291] :
( ~ aElement0(szszuzczcdt0(W0_1291))
| ( '#skF_3'(slcrc0,szszuzczcdt0(W0_1291),slcrc0) = szszuzczcdt0(W0_1291) )
| ~ aElementOf0(W0_1291,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_54730]) ).
tff(c_54863,plain,
! [W0_1292] :
( ( '#skF_3'(slcrc0,szszuzczcdt0(W0_1292),slcrc0) = szszuzczcdt0(W0_1292) )
| ~ aElementOf0(W0_1292,szNzAzT0) ),
inference(resolution,[status(thm)],[c_301,c_54797]) ).
tff(c_55158,plain,
! [W0_1298] :
( ( szszuzczcdt0('#skF_7'(W0_1298)) = '#skF_3'(slcrc0,W0_1298,slcrc0) )
| ~ aElementOf0('#skF_7'(W0_1298),szNzAzT0)
| ( sz00 = W0_1298 )
| ~ aElementOf0(W0_1298,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_54863]) ).
tff(c_55162,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = '#skF_3'(slcrc0,W0_75,slcrc0) )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_55158]) ).
tff(c_55177,plain,
! [W0_1299] :
( ( szszuzczcdt0('#skF_7'(W0_1299)) = '#skF_3'(slcrc0,W0_1299,slcrc0) )
| ( sz00 = W0_1299 )
| ~ aElementOf0(W0_1299,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_55162]) ).
tff(c_56054,plain,
! [W0_1311] :
( ~ sdtlseqdt0('#skF_3'(slcrc0,W0_1311,slcrc0),sz00)
| ~ aElementOf0('#skF_7'(W0_1311),szNzAzT0)
| ( sz00 = W0_1311 )
| ~ aElementOf0(W0_1311,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55177,c_128]) ).
tff(c_56075,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54075,c_56054]) ).
tff(c_56088,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_56075]) ).
tff(c_56620,plain,
~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_56088]) ).
tff(c_56623,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_56620]) ).
tff(c_56629,plain,
szmzizndt0(xT) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_108,c_500,c_56623]) ).
tff(c_56824,plain,
~ aElementOf0('#skF_7'(sz00),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_56629,c_56620]) ).
tff(c_56851,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_40548,c_56824]) ).
tff(c_56853,plain,
aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0),
inference(splitRight,[status(thm)],[c_56088]) ).
tff(c_55267,plain,
! [W0_75] :
( ( '#skF_3'(slcrc0,W0_75,slcrc0) = W0_75 )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_55177]) ).
tff(c_56857,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_56853,c_55267]) ).
tff(c_56886,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_56857]) ).
tff(c_58091,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitLeft,[status(thm)],[c_56886]) ).
tff(c_56866,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_56853,c_548]) ).
tff(c_56897,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_56866]) ).
tff(c_57224,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_56897]) ).
tff(c_58092,plain,
'#skF_7'(sz00) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_58091,c_58091,c_57224]) ).
tff(c_58103,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_58092]) ).
tff(c_58105,plain,
'#skF_7'(szmzizndt0(xT)) != sz00,
inference(splitRight,[status(thm)],[c_56886]) ).
tff(c_58104,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)),
inference(splitRight,[status(thm)],[c_56886]) ).
tff(c_53710,plain,
( ( '#skF_3'(slcrc0,szmzizndt0(xS),slcrc0) = szmzizndt0(xS) )
| ( sdtpldt0(slcrc0,szmzizndt0(xS)) = slcrc0 ) ),
inference(resolution,[status(thm)],[c_307,c_53609]) ).
tff(c_54360,plain,
sdtpldt0(slcrc0,szmzizndt0(xS)) = slcrc0,
inference(splitLeft,[status(thm)],[c_53710]) ).
tff(c_54367,plain,
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szmzizndt0(xS),slcrc0)
| ~ aElement0(szmzizndt0(xS))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_54360,c_41029]) ).
tff(c_54445,plain,
aElementOf0(szmzizndt0(xS),slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_307,c_110,c_200,c_991,c_200,c_54367]) ).
tff(c_54447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_54445]) ).
tff(c_54448,plain,
'#skF_3'(slcrc0,szmzizndt0(xS),slcrc0) = szmzizndt0(xS),
inference(splitRight,[status(thm)],[c_53710]) ).
tff(c_56069,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54448,c_56054]) ).
tff(c_56083,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56069]) ).
tff(c_56092,plain,
~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_56083]) ).
tff(c_56113,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_56092]) ).
tff(c_56119,plain,
szmzizndt0(xS) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_108,c_500,c_56113]) ).
tff(c_56123,plain,
~ aElementOf0('#skF_7'(sz00),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_56119,c_56092]) ).
tff(c_56150,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_40548,c_56123]) ).
tff(c_56152,plain,
aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0),
inference(splitRight,[status(thm)],[c_56083]) ).
tff(c_58710,plain,
! [W0_1345] :
( iLess0('#skF_7'(W0_1345),'#skF_3'(slcrc0,W0_1345,slcrc0))
| ~ aElementOf0('#skF_7'(W0_1345),szNzAzT0)
| ( sz00 = W0_1345 )
| ~ aElementOf0(W0_1345,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55177,c_146]) ).
tff(c_58731,plain,
( iLess0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54448,c_58710]) ).
tff(c_58754,plain,
( iLess0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_58731]) ).
tff(c_58766,plain,
szmzizndt0(xS) = sz00,
inference(splitLeft,[status(thm)],[c_58754]) ).
tff(c_56156,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_56152,c_55267]) ).
tff(c_56185,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_56156]) ).
tff(c_57421,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitLeft,[status(thm)],[c_56185]) ).
tff(c_56165,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) != '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_56152,c_548]) ).
tff(c_56196,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) != '#skF_7'(szmzizndt0(xS)) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_56165]) ).
tff(c_56506,plain,
'#skF_7'('#skF_7'(szmzizndt0(xS))) != '#skF_7'(szmzizndt0(xS)),
inference(splitLeft,[status(thm)],[c_56196]) ).
tff(c_57422,plain,
'#skF_7'(sz00) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_57421,c_57421,c_56506]) ).
tff(c_57433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_57422]) ).
tff(c_57435,plain,
'#skF_7'(szmzizndt0(xS)) != sz00,
inference(splitRight,[status(thm)],[c_56185]) ).
tff(c_57434,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_56185]) ).
tff(c_55255,plain,
! [W0_1299] :
( ~ sdtlseqdt0('#skF_3'(slcrc0,W0_1299,slcrc0),sz00)
| ~ aElementOf0('#skF_7'(W0_1299),szNzAzT0)
| ( sz00 = W0_1299 )
| ~ aElementOf0(W0_1299,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55177,c_128]) ).
tff(c_57514,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_57434,c_55255]) ).
tff(c_57551,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57514]) ).
tff(c_57552,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_57435,c_57551]) ).
tff(c_57577,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_57552]) ).
tff(c_57580,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_57577]) ).
tff(c_57586,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_108,c_500,c_57580]) ).
tff(c_57588,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_57435,c_57586]) ).
tff(c_57589,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00),
inference(splitRight,[status(thm)],[c_57552]) ).
tff(c_58774,plain,
~ sdtlseqdt0('#skF_7'(sz00),sz00),
inference(demodulation,[status(thm),theory(equality)],[c_58766,c_57589]) ).
tff(c_58819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_40548,c_58774]) ).
tff(c_58821,plain,
szmzizndt0(xS) != sz00,
inference(splitRight,[status(thm)],[c_58754]) ).
tff(c_55171,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = '#skF_3'(slcrc0,W0_75,slcrc0) )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_55162]) ).
tff(c_58952,plain,
! [W0_1348] :
( sdtlseqdt0('#skF_7'(W0_1348),'#skF_3'(slcrc0,W0_1348,slcrc0))
| ~ aElementOf0('#skF_7'(W0_1348),szNzAzT0)
| ( sz00 = W0_1348 )
| ~ aElementOf0(W0_1348,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55177,c_134]) ).
tff(c_58977,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54448,c_58952]) ).
tff(c_59002,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_58977]) ).
tff(c_59003,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS)),
inference(negUnitSimplification,[status(thm)],[c_58821,c_59002]) ).
tff(c_59018,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_59003,c_138]) ).
tff(c_59024,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_59018]) ).
tff(c_59025,plain,
~ sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_1722,c_59024]) ).
tff(c_57590,plain,
aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitRight,[status(thm)],[c_57552]) ).
tff(c_58962,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_57434,c_58952]) ).
tff(c_58996,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS)))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_58962]) ).
tff(c_58997,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_57435,c_58996]) ).
tff(c_59178,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_58997,c_138]) ).
tff(c_59184,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_59178]) ).
tff(c_59185,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS)))),
inference(negUnitSimplification,[status(thm)],[c_56506,c_59184]) ).
tff(c_59385,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_1143,c_59185]) ).
tff(c_59388,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'(szmzizndt0(xS)))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_59385]) ).
tff(c_59389,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_57435,c_59388]) ).
tff(c_59392,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'(szmzizndt0(xS))))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_59389,c_1731]) ).
tff(c_59399,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'(szmzizndt0(xS))))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_59392]) ).
tff(c_59400,plain,
sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0('#skF_7'(szmzizndt0(xS)))),
inference(negUnitSimplification,[status(thm)],[c_58821,c_59399]) ).
tff(c_59584,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_59400,c_1371]) ).
tff(c_59597,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xS),'#skF_7'(szmzizndt0(xS))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_59584]) ).
tff(c_59598,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS) )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_59025,c_59597]) ).
tff(c_65772,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_59598]) ).
tff(c_65775,plain,
( ~ aElementOf0('#skF_3'(slcrc0,szmzizndt0(xS),slcrc0),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55171,c_65772]) ).
tff(c_65786,plain,
szmzizndt0(xS) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_1694,c_54448,c_65775]) ).
tff(c_65788,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58821,c_65786]) ).
tff(c_65789,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xS))) = szmzizndt0(xS),
inference(splitRight,[status(thm)],[c_59598]) ).
tff(c_58737,plain,
( iLess0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54075,c_58710]) ).
tff(c_58759,plain,
( iLess0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_56853,c_58737]) ).
tff(c_58901,plain,
szmzizndt0(xT) = sz00,
inference(splitLeft,[status(thm)],[c_58759]) ).
tff(c_58184,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_58104,c_55255]) ).
tff(c_58221,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_58184]) ).
tff(c_58222,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_58105,c_58221]) ).
tff(c_58247,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_58222]) ).
tff(c_58250,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_58247]) ).
tff(c_58256,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_108,c_500,c_58250]) ).
tff(c_58258,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58105,c_58256]) ).
tff(c_58260,plain,
aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitRight,[status(thm)],[c_58222]) ).
tff(c_403,plain,
! [W0_160] :
( ( szszuzczcdt0('#skF_7'(W0_160)) != sz00 )
| ( sz00 = W0_160 )
| ~ aElementOf0(W0_160,szNzAzT0) ),
inference(resolution,[status(thm)],[c_390,c_112]) ).
tff(c_55234,plain,
! [W0_1299] :
( ( '#skF_3'(slcrc0,W0_1299,slcrc0) != sz00 )
| ( sz00 = W0_1299 )
| ~ aElementOf0(W0_1299,szNzAzT0)
| ( sz00 = W0_1299 )
| ~ aElementOf0(W0_1299,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55177,c_403]) ).
tff(c_58262,plain,
( ( '#skF_3'(slcrc0,'#skF_7'('#skF_7'(szmzizndt0(xT))),slcrc0) != sz00 )
| ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 )
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(resolution,[status(thm)],[c_58260,c_55234]) ).
tff(c_58290,plain,
( ( '#skF_3'(slcrc0,'#skF_7'('#skF_7'(szmzizndt0(xT))),slcrc0) != sz00 )
| ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_58260,c_58262]) ).
tff(c_58709,plain,
'#skF_3'(slcrc0,'#skF_7'('#skF_7'(szmzizndt0(xT))),slcrc0) != sz00,
inference(splitLeft,[status(thm)],[c_58290]) ).
tff(c_58903,plain,
'#skF_3'(slcrc0,'#skF_7'('#skF_7'(sz00)),slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_58901,c_58709]) ).
tff(c_58949,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53793,c_40548,c_40548,c_58903]) ).
tff(c_58951,plain,
szmzizndt0(xT) != sz00,
inference(splitRight,[status(thm)],[c_58759]) ).
tff(c_56903,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xT))) != sz00,
inference(resolution,[status(thm)],[c_56853,c_112]) ).
tff(c_56904,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)),
inference(resolution,[status(thm)],[c_56853,c_122]) ).
tff(c_58259,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00),
inference(splitRight,[status(thm)],[c_58222]) ).
tff(c_40,plain,
! [W0_33,W1_34] :
( aSet0(sdtpldt0(W0_33,W1_34))
| ~ aElement0(W1_34)
| ~ aSet0(W0_33) ),
inference(cnfTransformation,[status(thm)],[f_137]) ).
tff(c_148,plain,
! [W0_96] :
( aElement0(sbrdtbr0(W0_96))
| ~ aSet0(W0_96) ),
inference(cnfTransformation,[status(thm)],[f_318]) ).
tff(c_41112,plain,
! [W1_941] :
( aElement0(szszuzczcdt0(sz00))
| ~ aSet0(sdtpldt0(slcrc0,W1_941))
| ~ aElement0(W1_941) ),
inference(superposition,[status(thm),theory(equality)],[c_41062,c_148]) ).
tff(c_41131,plain,
! [W1_942] :
( ~ aSet0(sdtpldt0(slcrc0,W1_942))
| ~ aElement0(W1_942) ),
inference(splitLeft,[status(thm)],[c_41112]) ).
tff(c_41135,plain,
! [W1_34] :
( ~ aElement0(W1_34)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[c_40,c_41131]) ).
tff(c_41138,plain,
! [W1_34] : ~ aElement0(W1_34),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_41135]) ).
tff(c_41153,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_41138,c_307]) ).
tff(c_41154,plain,
aElement0(szszuzczcdt0(sz00)),
inference(splitRight,[status(thm)],[c_41112]) ).
tff(c_53703,plain,
( ( '#skF_3'(slcrc0,szszuzczcdt0(sz00),slcrc0) = szszuzczcdt0(sz00) )
| ( sdtpldt0(slcrc0,szszuzczcdt0(sz00)) = slcrc0 ) ),
inference(resolution,[status(thm)],[c_41154,c_53609]) ).
tff(c_54194,plain,
sdtpldt0(slcrc0,szszuzczcdt0(sz00)) = slcrc0,
inference(splitLeft,[status(thm)],[c_53703]) ).
tff(c_54237,plain,
( ~ sdtlseqdt0(sbrdtbr0(slcrc0),sz00)
| ~ aElementOf0(sbrdtbr0(slcrc0),szNzAzT0)
| aElementOf0(szszuzczcdt0(sz00),slcrc0)
| ~ aElement0(szszuzczcdt0(sz00))
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_54194,c_41029]) ).
tff(c_54315,plain,
aElementOf0(szszuzczcdt0(sz00),slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_41154,c_110,c_200,c_991,c_200,c_54237]) ).
tff(c_54317,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_54315]) ).
tff(c_54318,plain,
'#skF_3'(slcrc0,szszuzczcdt0(sz00),slcrc0) = szszuzczcdt0(sz00),
inference(splitRight,[status(thm)],[c_53703]) ).
tff(c_58734,plain,
( iLess0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54318,c_58710]) ).
tff(c_58756,plain,
( iLess0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_58734]) ).
tff(c_58757,plain,
( iLess0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_225,c_58756]) ).
tff(c_60044,plain,
~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_58757]) ).
tff(c_60047,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_60044]) ).
tff(c_60053,plain,
szszuzczcdt0(sz00) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_108,c_500,c_60047]) ).
tff(c_60055,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_225,c_60053]) ).
tff(c_60057,plain,
aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0),
inference(splitRight,[status(thm)],[c_58757]) ).
tff(c_45109,plain,
( ( '#skF_7'(szszuzczcdt0(sz00)) != szszuzczcdt0(sz00) )
| ( szszuzczcdt0(sz00) = sz00 )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(resolution,[status(thm)],[c_44919,c_548]) ).
tff(c_45129,plain,
( ( '#skF_7'(szszuzczcdt0(sz00)) != szszuzczcdt0(sz00) )
| ( szszuzczcdt0(sz00) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_45109]) ).
tff(c_45130,plain,
'#skF_7'(szszuzczcdt0(sz00)) != szszuzczcdt0(sz00),
inference(negUnitSimplification,[status(thm)],[c_225,c_45129]) ).
tff(c_58980,plain,
( sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54318,c_58952]) ).
tff(c_59005,plain,
( sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_58980]) ).
tff(c_59006,plain,
( sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00))
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_225,c_59005]) ).
tff(c_60402,plain,
sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),szszuzczcdt0(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_60057,c_59006]) ).
tff(c_60408,plain,
( ( '#skF_7'(szszuzczcdt0(sz00)) = szszuzczcdt0(sz00) )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_60402,c_1371]) ).
tff(c_60419,plain,
( ( '#skF_7'(szszuzczcdt0(sz00)) = szszuzczcdt0(sz00) )
| sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),sz00) ),
inference(demodulation,[status(thm),theory(equality)],[c_60057,c_110,c_44919,c_60408]) ).
tff(c_60420,plain,
sdtlseqdt0('#skF_7'(szszuzczcdt0(sz00)),sz00),
inference(negUnitSimplification,[status(thm)],[c_45130,c_60419]) ).
tff(c_1152,plain,
! [W0_75] :
( ~ sdtlseqdt0(W0_75,sz00)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_1148]) ).
tff(c_60476,plain,
( ( '#skF_7'(szszuzczcdt0(sz00)) = sz00 )
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_60420,c_1152]) ).
tff(c_60501,plain,
'#skF_7'(szszuzczcdt0(sz00)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_60057,c_60476]) ).
tff(c_60539,plain,
! [W0_227] :
( sdtlseqdt0(szszuzczcdt0(sz00),W0_227)
| sdtlseqdt0(W0_227,sz00)
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0)
| ~ aElementOf0(W0_227,szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_60501,c_1143]) ).
tff(c_60603,plain,
! [W0_227] :
( sdtlseqdt0(szszuzczcdt0(sz00),W0_227)
| sdtlseqdt0(W0_227,sz00)
| ~ aElementOf0(W0_227,szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_110,c_60501,c_60539]) ).
tff(c_60604,plain,
! [W0_227] :
( sdtlseqdt0(szszuzczcdt0(sz00),W0_227)
| sdtlseqdt0(W0_227,sz00)
| ~ aElementOf0(W0_227,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_225,c_60603]) ).
tff(c_58959,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_58104,c_58952]) ).
tff(c_58993,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),'#skF_7'(szmzizndt0(xT)))
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_58260,c_58959]) ).
tff(c_58994,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xT))),'#skF_7'(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_58105,c_58993]) ).
tff(c_59186,plain,
! [W0_1352,W1_1353] :
( sdtlseqdt0(W0_1352,szszuzczcdt0(W1_1353))
| ~ sdtlseqdt0('#skF_7'(W0_1352),W1_1353)
| ~ aElementOf0(W1_1353,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_1352),szNzAzT0)
| ( sz00 = W0_1352 )
| ~ aElementOf0(W0_1352,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1723]) ).
tff(c_59192,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szszuzczcdt0('#skF_7'(szmzizndt0(xT))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_58994,c_59186]) ).
tff(c_59235,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szszuzczcdt0('#skF_7'(szmzizndt0(xT))))
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_58260,c_59192]) ).
tff(c_59236,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szszuzczcdt0('#skF_7'(szmzizndt0(xT)))),
inference(negUnitSimplification,[status(thm)],[c_58105,c_59235]) ).
tff(c_59660,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_3'(slcrc0,szmzizndt0(xT),slcrc0))
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55171,c_59236]) ).
tff(c_59680,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_54075,c_59660]) ).
tff(c_59681,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT)),
inference(negUnitSimplification,[status(thm)],[c_58951,c_59680]) ).
tff(c_59689,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,szmzizndt0(xT))
| ~ sdtlseqdt0(W0_88,'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_59681,c_140]) ).
tff(c_64794,plain,
! [W0_1418] :
( sdtlseqdt0(W0_1418,szmzizndt0(xT))
| ~ sdtlseqdt0(W0_1418,'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0(W0_1418,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_1879,c_59689]) ).
tff(c_64800,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xT))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_60604,c_64794]) ).
tff(c_64845,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xT))
| sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_44919,c_64800]) ).
tff(c_64846,plain,
sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xT)),
inference(negUnitSimplification,[status(thm)],[c_58259,c_64845]) ).
tff(c_1673,plain,
! [W0_260,W0_75] :
( sdtlseqdt0(W0_260,'#skF_7'(W0_75))
| ~ sdtlseqdt0(szszuzczcdt0(W0_260),W0_75)
| ~ aElementOf0('#skF_7'(W0_75),szNzAzT0)
| ~ aElementOf0(W0_260,szNzAzT0)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_64883,plain,
( sdtlseqdt0(sz00,'#skF_7'(szmzizndt0(xT)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_64846,c_1673]) ).
tff(c_64893,plain,
( sdtlseqdt0(sz00,'#skF_7'(szmzizndt0(xT)))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_110,c_56853,c_64883]) ).
tff(c_64894,plain,
sdtlseqdt0(sz00,'#skF_7'(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_58951,c_64893]) ).
tff(c_64986,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,'#skF_7'(szmzizndt0(xT)))
| ~ sdtlseqdt0(W0_88,sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_64894,c_140]) ).
tff(c_65402,plain,
! [W0_1426] :
( sdtlseqdt0(W0_1426,'#skF_7'(szmzizndt0(xT)))
| ~ sdtlseqdt0(W0_1426,sz00)
| ~ aElementOf0(W0_1426,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_56853,c_64986]) ).
tff(c_1384,plain,
! [W0_84] :
( ( szszuzczcdt0(W0_84) = W0_84 )
| ~ sdtlseqdt0(szszuzczcdt0(W0_84),W0_84)
| ~ aElementOf0(szszuzczcdt0(W0_84),szNzAzT0)
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_1346]) ).
tff(c_65428,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)) )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),sz00)
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(resolution,[status(thm)],[c_65402,c_1384]) ).
tff(c_65457,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)) )
| ~ sdtlseqdt0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),sz00)
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_65428]) ).
tff(c_65458,plain,
( ~ sdtlseqdt0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),sz00)
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_56904,c_65457]) ).
tff(c_67916,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_65458]) ).
tff(c_67919,plain,
( ~ aElementOf0('#skF_3'(slcrc0,szmzizndt0(xT),slcrc0),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55171,c_67916]) ).
tff(c_67930,plain,
szmzizndt0(xT) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_1879,c_54075,c_67919]) ).
tff(c_67932,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_58951,c_67930]) ).
tff(c_67934,plain,
aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitRight,[status(thm)],[c_65458]) ).
tff(c_67940,plain,
( ( '#skF_3'(slcrc0,szszuzczcdt0('#skF_7'(szmzizndt0(xT))),slcrc0) = szszuzczcdt0('#skF_7'(szmzizndt0(xT))) )
| ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = sz00 )
| ~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(resolution,[status(thm)],[c_67934,c_55267]) ).
tff(c_67977,plain,
( ( '#skF_3'(slcrc0,szszuzczcdt0('#skF_7'(szmzizndt0(xT))),slcrc0) = szszuzczcdt0('#skF_7'(szmzizndt0(xT))) )
| ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67934,c_67940]) ).
tff(c_67978,plain,
'#skF_3'(slcrc0,szszuzczcdt0('#skF_7'(szmzizndt0(xT))),slcrc0) = szszuzczcdt0('#skF_7'(szmzizndt0(xT))),
inference(negUnitSimplification,[status(thm)],[c_56903,c_67977]) ).
tff(c_68403,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = '#skF_3'(slcrc0,'#skF_3'(slcrc0,szmzizndt0(xT),slcrc0),slcrc0) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55171,c_67978]) ).
tff(c_68462,plain,
( ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_54075,c_54075,c_68403]) ).
tff(c_68463,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xT))) = szmzizndt0(xT),
inference(negUnitSimplification,[status(thm)],[c_58951,c_68462]) ).
tff(c_68562,plain,
! [W1_74] :
( ( W1_74 = '#skF_7'(szmzizndt0(xT)) )
| ( szszuzczcdt0(W1_74) != szmzizndt0(xT) )
| ~ aElementOf0(W1_74,szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_68463,c_116]) ).
tff(c_68692,plain,
! [W1_1456] :
( ( W1_1456 = '#skF_7'(szmzizndt0(xT)) )
| ( szszuzczcdt0(W1_1456) != szmzizndt0(xT) )
| ~ aElementOf0(W1_1456,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_68562]) ).
tff(c_68842,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szmzizndt0(xS) )
| ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT) )
| ~ aSubsetOf0(xT,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_578,c_68692]) ).
tff(c_69008,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szmzizndt0(xS) )
| ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_188,c_68842]) ).
tff(c_69162,plain,
szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_69008]) ).
tff(c_672,plain,
! [W0_193] :
( aElementOf0(szmzizndt0(xS),W0_193)
| ~ aSubsetOf0(xT,W0_193)
| ~ aSet0(W0_193) ),
inference(resolution,[status(thm)],[c_194,c_552]) ).
tff(c_693,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xS) )
| ~ aSubsetOf0(xT,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_672,c_122]) ).
tff(c_711,plain,
szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_188,c_693]) ).
tff(c_59195,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_59003,c_59186]) ).
tff(c_59239,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xS)))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_59195]) ).
tff(c_59240,plain,
sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_58821,c_59239]) ).
tff(c_59260,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_59240,c_138]) ).
tff(c_59270,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_59260]) ).
tff(c_59271,plain,
( ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_711,c_59270]) ).
tff(c_61130,plain,
~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_59271]) ).
tff(c_61133,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_576,c_61130]) ).
tff(c_61140,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_108,c_500,c_61133]) ).
tff(c_61142,plain,
aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0),
inference(splitRight,[status(thm)],[c_59271]) ).
tff(c_59016,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,szmzizndt0(xS))
| ~ sdtlseqdt0(W0_88,'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_59003,c_140]) ).
tff(c_63940,plain,
! [W0_1405] :
( sdtlseqdt0(W0_1405,szmzizndt0(xS))
| ~ sdtlseqdt0(W0_1405,'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0(W0_1405,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_1694,c_59016]) ).
tff(c_63970,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_431,c_63940]) ).
tff(c_64013,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),szmzizndt0(xS))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_63970]) ).
tff(c_64014,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),szmzizndt0(xS)),
inference(negUnitSimplification,[status(thm)],[c_57435,c_64013]) ).
tff(c_64135,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szszuzczcdt0(szmzizndt0(xS)))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_64014,c_1731]) ).
tff(c_64142,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szszuzczcdt0(szmzizndt0(xS)))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_1694,c_64135]) ).
tff(c_64143,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szszuzczcdt0(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_57435,c_64142]) ).
tff(c_41411,plain,
! [W0_953,W2_954,W1_955] :
( sdtlseqdt0(W0_953,W2_954)
| ~ sdtlseqdt0(W1_955,W2_954)
| ~ sdtlseqdt0(W0_953,W1_955)
| ~ aElementOf0(W2_954,szNzAzT0)
| ~ aElementOf0(W1_955,szNzAzT0)
| ~ aElementOf0(W0_953,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_71936,plain,
! [W0_1489,W0_1490,W1_1491] :
( sdtlseqdt0(W0_1489,W0_1490)
| ~ sdtlseqdt0(W0_1489,szszuzczcdt0(W1_1491))
| ~ aElementOf0(szszuzczcdt0(W1_1491),szNzAzT0)
| ~ aElementOf0(W0_1489,szNzAzT0)
| sdtlseqdt0(W0_1490,W1_1491)
| ~ aElementOf0(W1_1491,szNzAzT0)
| ~ aElementOf0(W0_1490,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_41411]) ).
tff(c_71960,plain,
! [W0_1490] :
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),W0_1490)
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| sdtlseqdt0(W0_1490,szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(W0_1490,szNzAzT0) ),
inference(resolution,[status(thm)],[c_64143,c_71936]) ).
tff(c_73840,plain,
! [W0_1505] :
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),W0_1505)
| sdtlseqdt0(W0_1505,szmzizndt0(xS))
| ~ aElementOf0(W0_1505,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_61142,c_71960]) ).
tff(c_73877,plain,
! [W0_1505] :
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(W0_1505))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| sdtlseqdt0(W0_1505,szmzizndt0(xS))
| ~ aElementOf0(W0_1505,szNzAzT0) ),
inference(resolution,[status(thm)],[c_73840,c_1731]) ).
tff(c_73961,plain,
! [W0_1505] :
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(W0_1505))
| ( szmzizndt0(xS) = sz00 )
| sdtlseqdt0(W0_1505,szmzizndt0(xS))
| ~ aElementOf0(W0_1505,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_73877]) ).
tff(c_74082,plain,
! [W0_1509] :
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(W0_1509))
| sdtlseqdt0(W0_1509,szmzizndt0(xS))
| ~ aElementOf0(W0_1509,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_58821,c_73961]) ).
tff(c_74108,plain,
( sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_68463,c_74082]) ).
tff(c_74149,plain,
( sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xS)) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_74108]) ).
tff(c_74152,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xS)),
inference(splitLeft,[status(thm)],[c_74149]) ).
tff(c_74190,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xS)))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_74152,c_1731]) ).
tff(c_74201,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xS)))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_56853,c_1694,c_74190]) ).
tff(c_74202,plain,
sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_58951,c_74201]) ).
tff(c_74213,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xT) )
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_74202,c_1371]) ).
tff(c_74223,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xT) )
| sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_1694,c_61142,c_74213]) ).
tff(c_74224,plain,
sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
inference(negUnitSimplification,[status(thm)],[c_69162,c_74223]) ).
tff(c_74234,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_74224,c_1383]) ).
tff(c_74241,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ( xS = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_190,c_192,c_1879,c_1694,c_74234]) ).
tff(c_74243,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_196,c_74241]) ).
tff(c_74244,plain,
sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(splitRight,[status(thm)],[c_74149]) ).
tff(c_74248,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_74244,c_1383]) ).
tff(c_74255,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ( xT = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_194,c_1694,c_1879,c_74248]) ).
tff(c_74257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_196,c_74255]) ).
tff(c_74258,plain,
'#skF_7'(szmzizndt0(xT)) = szmzizndt0(xS),
inference(splitRight,[status(thm)],[c_69008]) ).
tff(c_59408,plain,
! [W0_1355,W1_1356] :
( sdtlseqdt0('#skF_7'(W0_1355),W1_1356)
| ~ sdtlseqdt0(W0_1355,szszuzczcdt0(W1_1356))
| ~ aElementOf0(W1_1356,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_1355),szNzAzT0)
| ( sz00 = W0_1355 )
| ~ aElementOf0(W0_1355,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_59167,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'('#skF_7'(szmzizndt0(xT))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_58994,c_138]) ).
tff(c_59173,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = '#skF_7'(szmzizndt0(xT)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'('#skF_7'(szmzizndt0(xT)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_58260,c_59167]) ).
tff(c_59174,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),'#skF_7'('#skF_7'(szmzizndt0(xT)))),
inference(negUnitSimplification,[status(thm)],[c_57224,c_59173]) ).
tff(c_59414,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_59408,c_59174]) ).
tff(c_59483,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_56853,c_58260,c_59414]) ).
tff(c_59484,plain,
~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT))))),
inference(negUnitSimplification,[status(thm)],[c_58951,c_59483]) ).
tff(c_59986,plain,
( ~ aElementOf0(szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_59484]) ).
tff(c_59998,plain,
( ~ aElementOf0(szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))),xT)
| ( xT = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_59986]) ).
tff(c_59999,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))),xT),
inference(negUnitSimplification,[status(thm)],[c_184,c_59998]) ).
tff(c_74270,plain,
~ aElementOf0(szszuzczcdt0('#skF_7'(szmzizndt0(xS))),xT),
inference(demodulation,[status(thm),theory(equality)],[c_74258,c_59999]) ).
tff(c_74301,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_65789,c_74270]) ).
tff(c_74302,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00,
inference(splitRight,[status(thm)],[c_58290]) ).
tff(c_74329,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = szszuzczcdt0(sz00) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_74302,c_55171]) ).
tff(c_74378,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szszuzczcdt0(sz00) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_58104,c_74329]) ).
tff(c_74379,plain,
'#skF_7'(szmzizndt0(xT)) = szszuzczcdt0(sz00),
inference(negUnitSimplification,[status(thm)],[c_58105,c_74378]) ).
tff(c_74811,plain,
! [W0_1516] :
( sdtlseqdt0('#skF_7'(W0_1516),'#skF_3'(slcrc0,W0_1516,slcrc0))
| ~ aElementOf0('#skF_7'(W0_1516),szNzAzT0)
| ( sz00 = W0_1516 )
| ~ aElementOf0(W0_1516,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_55177,c_134]) ).
tff(c_74845,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xT)),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54075,c_74811]) ).
tff(c_74871,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xT))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_44919,c_74379,c_74379,c_74845]) ).
tff(c_74907,plain,
szmzizndt0(xT) = sz00,
inference(splitLeft,[status(thm)],[c_74871]) ).
tff(c_74909,plain,
szszuzczcdt0(sz00) = '#skF_7'(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_74907,c_74379]) ).
tff(c_74934,plain,
szszuzczcdt0(sz00) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_74909]) ).
tff(c_74936,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_225,c_74934]) ).
tff(c_74938,plain,
szmzizndt0(xT) != sz00,
inference(splitRight,[status(thm)],[c_74871]) ).
tff(c_74484,plain,
( ( szszuzczcdt0(szszuzczcdt0(sz00)) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_74379,c_118]) ).
tff(c_74522,plain,
( ( szszuzczcdt0(szszuzczcdt0(sz00)) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_74484]) ).
tff(c_75007,plain,
szszuzczcdt0(szszuzczcdt0(sz00)) = szmzizndt0(xT),
inference(negUnitSimplification,[status(thm)],[c_74938,c_74522]) ).
tff(c_75073,plain,
! [W0_73] :
( ( szszuzczcdt0(sz00) = W0_73 )
| ( szszuzczcdt0(W0_73) != szmzizndt0(xT) )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(W0_73,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_75007,c_116]) ).
tff(c_75634,plain,
! [W0_1529] :
( ( szszuzczcdt0(sz00) = W0_1529 )
| ( szszuzczcdt0(W0_1529) != szmzizndt0(xT) )
| ~ aElementOf0(W0_1529,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_75073]) ).
tff(c_75752,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT) )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_1716,c_75634]) ).
tff(c_75889,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT) ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_75752]) ).
tff(c_75927,plain,
szszuzczcdt0(szmzizndt0(xS)) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_75889]) ).
tff(c_74839,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_54448,c_74811]) ).
tff(c_74866,plain,
( sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_74839]) ).
tff(c_75200,plain,
szmzizndt0(xS) = sz00,
inference(splitLeft,[status(thm)],[c_74866]) ).
tff(c_74824,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_57434,c_74811]) ).
tff(c_74860,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS)))
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_74824]) ).
tff(c_74861,plain,
sdtlseqdt0('#skF_7'('#skF_7'(szmzizndt0(xS))),'#skF_7'(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_57435,c_74860]) ).
tff(c_74881,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS))))
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_74861,c_138]) ).
tff(c_74887,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = '#skF_7'(szmzizndt0(xS)) )
| ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_57590,c_74881]) ).
tff(c_74888,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),'#skF_7'('#skF_7'(szmzizndt0(xS)))),
inference(negUnitSimplification,[status(thm)],[c_56506,c_74887]) ).
tff(c_75259,plain,
~ sdtlseqdt0('#skF_7'(sz00),'#skF_7'('#skF_7'(sz00))),
inference(demodulation,[status(thm),theory(equality)],[c_75200,c_75200,c_74888]) ).
tff(c_75306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_991,c_40548,c_40548,c_40548,c_75259]) ).
tff(c_75308,plain,
szmzizndt0(xS) != sz00,
inference(splitRight,[status(thm)],[c_74866]) ).
tff(c_75307,plain,
sdtlseqdt0('#skF_7'(szmzizndt0(xS)),szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_74866]) ).
tff(c_76103,plain,
! [W0_1535,W1_1536] :
( sdtlseqdt0(W0_1535,szszuzczcdt0(W1_1536))
| ~ sdtlseqdt0('#skF_7'(W0_1535),W1_1536)
| ~ aElementOf0(W1_1536,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_1535),szNzAzT0)
| ( sz00 = W0_1535 )
| ~ aElementOf0(W0_1535,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1723]) ).
tff(c_76106,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xS)))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_75307,c_76103]) ).
tff(c_76154,plain,
( sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xS)))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_76106]) ).
tff(c_76155,plain,
sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(szmzizndt0(xS))),
inference(negUnitSimplification,[status(thm)],[c_75308,c_76154]) ).
tff(c_76191,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_76155,c_138]) ).
tff(c_76201,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_76191]) ).
tff(c_76202,plain,
( ~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_711,c_76201]) ).
tff(c_77179,plain,
~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_76202]) ).
tff(c_77182,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_576,c_77179]) ).
tff(c_77189,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_108,c_500,c_77182]) ).
tff(c_77191,plain,
aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0),
inference(splitRight,[status(thm)],[c_76202]) ).
tff(c_75071,plain,
! [W0_91] :
( sdtlseqdt0(szmzizndt0(xT),W0_91)
| sdtlseqdt0(W0_91,szszuzczcdt0(sz00))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_75007,c_142]) ).
tff(c_75136,plain,
! [W0_91] :
( sdtlseqdt0(szmzizndt0(xT),W0_91)
| sdtlseqdt0(W0_91,szszuzczcdt0(sz00))
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_75071]) ).
tff(c_74426,plain,
'#skF_7'(szszuzczcdt0(sz00)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_74379,c_74302]) ).
tff(c_74535,plain,
! [W0_227] :
( sdtlseqdt0(szszuzczcdt0(sz00),W0_227)
| sdtlseqdt0(W0_227,sz00)
| ~ aElementOf0('#skF_7'(szszuzczcdt0(sz00)),szNzAzT0)
| ~ aElementOf0(W0_227,szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 )
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_74426,c_1143]) ).
tff(c_74584,plain,
! [W0_227] :
( sdtlseqdt0(szszuzczcdt0(sz00),W0_227)
| sdtlseqdt0(W0_227,sz00)
| ~ aElementOf0(W0_227,szNzAzT0)
| ( szszuzczcdt0(sz00) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_110,c_74426,c_74535]) ).
tff(c_74585,plain,
! [W0_227] :
( sdtlseqdt0(szszuzczcdt0(sz00),W0_227)
| sdtlseqdt0(W0_227,sz00)
| ~ aElementOf0(W0_227,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_225,c_74584]) ).
tff(c_75310,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,szmzizndt0(xS))
| ~ sdtlseqdt0(W0_88,'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_75307,c_140]) ).
tff(c_79210,plain,
! [W0_1568] :
( sdtlseqdt0(W0_1568,szmzizndt0(xS))
| ~ sdtlseqdt0(W0_1568,'#skF_7'(szmzizndt0(xS)))
| ~ aElementOf0(W0_1568,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_1694,c_75310]) ).
tff(c_79226,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xS))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_74585,c_79210]) ).
tff(c_79270,plain,
( sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xS))
| sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_44919,c_79226]) ).
tff(c_79271,plain,
sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xS)),
inference(negUnitSimplification,[status(thm)],[c_57589,c_79270]) ).
tff(c_79306,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,szmzizndt0(xS))
| ~ sdtlseqdt0(W0_88,szszuzczcdt0(sz00))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_79271,c_140]) ).
tff(c_79726,plain,
! [W0_1575] :
( sdtlseqdt0(W0_1575,szmzizndt0(xS))
| ~ sdtlseqdt0(W0_1575,szszuzczcdt0(sz00))
| ~ aElementOf0(W0_1575,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_44919,c_1694,c_79306]) ).
tff(c_79977,plain,
! [W0_1579] :
( sdtlseqdt0(W0_1579,szmzizndt0(xS))
| sdtlseqdt0(szmzizndt0(xT),W0_1579)
| ~ aElementOf0(W0_1579,szNzAzT0) ),
inference(resolution,[status(thm)],[c_75136,c_79726]) ).
tff(c_77190,plain,
~ sdtlseqdt0(szszuzczcdt0(szmzizndt0(xS)),szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_76202]) ).
tff(c_79980,plain,
( sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xS)))
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_79977,c_77190]) ).
tff(c_80061,plain,
sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(szmzizndt0(xS))),
inference(demodulation,[status(thm),theory(equality)],[c_77191,c_79980]) ).
tff(c_80124,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xT) )
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(xS)),szNzAzT0)
| sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_80061,c_1371]) ).
tff(c_80131,plain,
( ( szszuzczcdt0(szmzizndt0(xS)) = szmzizndt0(xT) )
| sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_1694,c_77191,c_80124]) ).
tff(c_80132,plain,
sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
inference(negUnitSimplification,[status(thm)],[c_75927,c_80131]) ).
tff(c_80143,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_80132,c_138]) ).
tff(c_80149,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_1879,c_80143]) ).
tff(c_80150,plain,
~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(negUnitSimplification,[status(thm)],[c_196,c_80149]) ).
tff(c_80158,plain,
( ~ aElementOf0(szmzizndt0(xT),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_80150]) ).
tff(c_80164,plain,
xS = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_192,c_80158]) ).
tff(c_80166,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_80164]) ).
tff(c_80167,plain,
szszuzczcdt0(sz00) = szmzizndt0(xS),
inference(splitRight,[status(thm)],[c_75889]) ).
tff(c_74437,plain,
szszuzczcdt0(sz00) != szmzizndt0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_74379,c_1907]) ).
tff(c_74937,plain,
sdtlseqdt0(szszuzczcdt0(sz00),szmzizndt0(xT)),
inference(splitRight,[status(thm)],[c_74871]) ).
tff(c_74960,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(sz00))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_74937,c_138]) ).
tff(c_74974,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(sz00)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_44919,c_74960]) ).
tff(c_74975,plain,
~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(sz00)),
inference(negUnitSimplification,[status(thm)],[c_74437,c_74974]) ).
tff(c_74984,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_74975]) ).
tff(c_74993,plain,
( ~ aElementOf0(szszuzczcdt0(sz00),xT)
| ( xT = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_188,c_74984]) ).
tff(c_74994,plain,
~ aElementOf0(szszuzczcdt0(sz00),xT),
inference(negUnitSimplification,[status(thm)],[c_184,c_74993]) ).
tff(c_80173,plain,
~ aElementOf0(szmzizndt0(xS),xT),
inference(demodulation,[status(thm),theory(equality)],[c_80167,c_74994]) ).
tff(c_80201,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_194,c_80173]) ).
tff(c_80202,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitRight,[status(thm)],[c_56897]) ).
tff(c_56855,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) != sz00 )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_56853,c_55234]) ).
tff(c_56883,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) != sz00 )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56853,c_56855]) ).
tff(c_57186,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) != sz00,
inference(splitLeft,[status(thm)],[c_56883]) ).
tff(c_80400,plain,
'#skF_3'(slcrc0,sz00,slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_80202,c_57186]) ).
tff(c_80410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53793,c_80400]) ).
tff(c_80411,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitRight,[status(thm)],[c_56883]) ).
tff(c_80419,plain,
szmzizndt0(xT) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_80411,c_1907]) ).
tff(c_80465,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_80411,c_118]) ).
tff(c_80502,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_80465]) ).
tff(c_80547,plain,
szszuzczcdt0(sz00) = szmzizndt0(xT),
inference(negUnitSimplification,[status(thm)],[c_80419,c_80502]) ).
tff(c_82511,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitLeft,[status(thm)],[c_56185]) ).
tff(c_80632,plain,
! [W1_74] :
( ( sz00 = W1_74 )
| ( szszuzczcdt0(W1_74) != szmzizndt0(xT) )
| ~ aElementOf0(W1_74,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_80547,c_116]) ).
tff(c_81667,plain,
! [W1_1592] :
( ( sz00 = W1_1592 )
| ( szszuzczcdt0(W1_1592) != szmzizndt0(xT) )
| ~ aElementOf0(W1_1592,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_80632]) ).
tff(c_81844,plain,
( ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ( szszuzczcdt0('#skF_7'(szmzizndt0(xS))) != szmzizndt0(xT) ) ),
inference(resolution,[status(thm)],[c_56152,c_81667]) ).
tff(c_82211,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xS))) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_81844]) ).
tff(c_82512,plain,
szszuzczcdt0(sz00) != szmzizndt0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_82511,c_82211]) ).
tff(c_82524,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80547,c_82512]) ).
tff(c_82526,plain,
'#skF_7'(szmzizndt0(xS)) != sz00,
inference(splitRight,[status(thm)],[c_56185]) ).
tff(c_82525,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = '#skF_7'(szmzizndt0(xS)),
inference(splitRight,[status(thm)],[c_56185]) ).
tff(c_83074,plain,
! [W0_1619,W1_1620] :
( sdtlseqdt0('#skF_7'(W0_1619),W1_1620)
| ~ sdtlseqdt0(W0_1619,szszuzczcdt0(W1_1620))
| ~ aElementOf0(W1_1620,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_1619),szNzAzT0)
| ( sz00 = W0_1619 )
| ~ aElementOf0(W0_1619,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_82605,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_82525,c_55255]) ).
tff(c_82642,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_82605]) ).
tff(c_82643,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_82526,c_82642]) ).
tff(c_82668,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_82643]) ).
tff(c_82671,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_82668]) ).
tff(c_82677,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_108,c_500,c_82671]) ).
tff(c_82679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_82526,c_82677]) ).
tff(c_82680,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xS)),sz00),
inference(splitRight,[status(thm)],[c_82643]) ).
tff(c_83080,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szszuzczcdt0(sz00))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_83074,c_82680]) ).
tff(c_83140,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_56152,c_110,c_80547,c_83080]) ).
tff(c_83226,plain,
~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_83140]) ).
tff(c_83232,plain,
( ~ aElementOf0(szmzizndt0(xT),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_83226]) ).
tff(c_83238,plain,
xS = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_192,c_83232]) ).
tff(c_83240,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_83238]) ).
tff(c_83241,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_83140]) ).
tff(c_82681,plain,
aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xS))),szNzAzT0),
inference(splitRight,[status(thm)],[c_82643]) ).
tff(c_80689,plain,
! [W1_74] :
( ( sz00 = W1_74 )
| ( szszuzczcdt0(W1_74) != szmzizndt0(xT) )
| ~ aElementOf0(W1_74,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_80632]) ).
tff(c_82761,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xS))) = sz00 )
| ( szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))) != szmzizndt0(xT) ) ),
inference(resolution,[status(thm)],[c_82681,c_80689]) ).
tff(c_83073,plain,
szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xS)))) != szmzizndt0(xT),
inference(splitLeft,[status(thm)],[c_82761]) ).
tff(c_83244,plain,
szszuzczcdt0('#skF_7'('#skF_7'(sz00))) != szmzizndt0(xT),
inference(demodulation,[status(thm),theory(equality)],[c_83241,c_83073]) ).
tff(c_83292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_80547,c_40548,c_40548,c_83244]) ).
tff(c_83293,plain,
'#skF_7'('#skF_7'(szmzizndt0(xS))) = sz00,
inference(splitRight,[status(thm)],[c_82761]) ).
tff(c_83316,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) = szszuzczcdt0(sz00) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_83293,c_55171]) ).
tff(c_83371,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xT) )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_80547,c_82525,c_83316]) ).
tff(c_83372,plain,
'#skF_7'(szmzizndt0(xS)) = szmzizndt0(xT),
inference(negUnitSimplification,[status(thm)],[c_82526,c_83371]) ).
tff(c_1369,plain,
! [W0_162] :
( ( '#skF_7'(W0_162) = W0_162 )
| ~ sdtlseqdt0(W0_162,'#skF_7'(W0_162))
| ~ aElementOf0('#skF_7'(W0_162),szNzAzT0)
| ( sz00 = W0_162 )
| ~ aElementOf0(W0_162,szNzAzT0) ),
inference(resolution,[status(thm)],[c_431,c_1346]) ).
tff(c_83461,plain,
( ( '#skF_7'(szmzizndt0(xS)) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0)
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_83372,c_1369]) ).
tff(c_83512,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_1879,c_83372,c_83372,c_83461]) ).
tff(c_83513,plain,
( ~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT))
| ( szmzizndt0(xS) = sz00 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_83512]) ).
tff(c_83633,plain,
~ sdtlseqdt0(szmzizndt0(xS),szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_83513]) ).
tff(c_83639,plain,
( ~ aElementOf0(szmzizndt0(xT),xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_83633]) ).
tff(c_83645,plain,
xS = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_190,c_192,c_83639]) ).
tff(c_83647,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_83645]) ).
tff(c_83648,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_83513]) ).
tff(c_83650,plain,
szmzizndt0(xT) = '#skF_7'(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_83648,c_83372]) ).
tff(c_83676,plain,
szmzizndt0(xT) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_83650]) ).
tff(c_83678,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_80419,c_83676]) ).
tff(c_83679,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitRight,[status(thm)],[c_81844]) ).
tff(c_83681,plain,
'#skF_7'(sz00) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_83679,c_83679,c_56506]) ).
tff(c_83692,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_83681]) ).
tff(c_83693,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitRight,[status(thm)],[c_56196]) ).
tff(c_56154,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) != sz00 )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xS)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_56152,c_55234]) ).
tff(c_56182,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) != sz00 )
| ( '#skF_7'(szmzizndt0(xS)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_56152,c_56154]) ).
tff(c_56490,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xS)),slcrc0) != sz00,
inference(splitLeft,[status(thm)],[c_56182]) ).
tff(c_83695,plain,
'#skF_3'(slcrc0,sz00,slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_83693,c_56490]) ).
tff(c_83705,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53793,c_83695]) ).
tff(c_83706,plain,
'#skF_7'(szmzizndt0(xS)) = sz00,
inference(splitRight,[status(thm)],[c_56182]) ).
tff(c_83714,plain,
szmzizndt0(xS) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_83706,c_1722]) ).
tff(c_83760,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(szmzizndt0(xS),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_83706,c_118]) ).
tff(c_83797,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xS) )
| ( szmzizndt0(xS) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1694,c_83760]) ).
tff(c_83819,plain,
szszuzczcdt0(sz00) = szmzizndt0(xS),
inference(negUnitSimplification,[status(thm)],[c_83714,c_83797]) ).
tff(c_85513,plain,
~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_56088]) ).
tff(c_85526,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_85513]) ).
tff(c_85532,plain,
szmzizndt0(xT) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_108,c_500,c_85526]) ).
tff(c_85536,plain,
~ aElementOf0('#skF_7'(sz00),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_85532,c_85513]) ).
tff(c_85564,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_40548,c_85536]) ).
tff(c_85566,plain,
aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0),
inference(splitRight,[status(thm)],[c_56088]) ).
tff(c_85573,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_85566,c_55267]) ).
tff(c_85603,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85566,c_85573]) ).
tff(c_86145,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitLeft,[status(thm)],[c_85603]) ).
tff(c_85582,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_85566,c_548]) ).
tff(c_85614,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85566,c_85582]) ).
tff(c_86125,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) != '#skF_7'(szmzizndt0(xT)),
inference(splitLeft,[status(thm)],[c_85614]) ).
tff(c_86146,plain,
'#skF_7'(sz00) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_86145,c_86145,c_86125]) ).
tff(c_86158,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_86146]) ).
tff(c_86160,plain,
'#skF_7'(szmzizndt0(xT)) != sz00,
inference(splitRight,[status(thm)],[c_85603]) ).
tff(c_86159,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = '#skF_7'(szmzizndt0(xT)),
inference(splitRight,[status(thm)],[c_85603]) ).
tff(c_87797,plain,
! [W0_1691,W1_1692] :
( sdtlseqdt0('#skF_7'(W0_1691),W1_1692)
| ~ sdtlseqdt0(W0_1691,szszuzczcdt0(W1_1692))
| ~ aElementOf0(W1_1692,szNzAzT0)
| ~ aElementOf0('#skF_7'(W0_1691),szNzAzT0)
| ( sz00 = W0_1691 )
| ~ aElementOf0(W0_1691,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_1663]) ).
tff(c_86244,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_86159,c_55255]) ).
tff(c_86278,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85566,c_86244]) ).
tff(c_86279,plain,
( ~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00)
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_86160,c_86278]) ).
tff(c_86304,plain,
~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitLeft,[status(thm)],[c_86279]) ).
tff(c_86345,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_573,c_86304]) ).
tff(c_86351,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_85566,c_108,c_500,c_86345]) ).
tff(c_86353,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86160,c_86351]) ).
tff(c_86354,plain,
~ sdtlseqdt0('#skF_7'(szmzizndt0(xT)),sz00),
inference(splitRight,[status(thm)],[c_86279]) ).
tff(c_87808,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szszuzczcdt0(sz00))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(resolution,[status(thm)],[c_87797,c_86354]) ).
tff(c_87873,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_85566,c_110,c_83819,c_87808]) ).
tff(c_87903,plain,
~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
inference(splitLeft,[status(thm)],[c_87873]) ).
tff(c_87909,plain,
( ~ aElementOf0(szmzizndt0(xS),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_87903]) ).
tff(c_87915,plain,
xT = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_188,c_194,c_87909]) ).
tff(c_87917,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_87915]) ).
tff(c_87918,plain,
szmzizndt0(xT) = sz00,
inference(splitRight,[status(thm)],[c_87873]) ).
tff(c_86355,plain,
aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0),
inference(splitRight,[status(thm)],[c_86279]) ).
tff(c_86371,plain,
( ( '#skF_7'('#skF_7'('#skF_7'(szmzizndt0(xT)))) != '#skF_7'('#skF_7'(szmzizndt0(xT))) )
| ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 )
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(resolution,[status(thm)],[c_86355,c_548]) ).
tff(c_86402,plain,
( ( '#skF_7'('#skF_7'('#skF_7'(szmzizndt0(xT)))) != '#skF_7'('#skF_7'(szmzizndt0(xT))) )
| ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86355,c_86371]) ).
tff(c_87434,plain,
'#skF_7'('#skF_7'('#skF_7'(szmzizndt0(xT)))) != '#skF_7'('#skF_7'(szmzizndt0(xT))),
inference(splitLeft,[status(thm)],[c_86402]) ).
tff(c_87920,plain,
'#skF_7'('#skF_7'('#skF_7'(sz00))) != '#skF_7'('#skF_7'(sz00)),
inference(demodulation,[status(thm),theory(equality)],[c_87918,c_87918,c_87434]) ).
tff(c_87970,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_87920]) ).
tff(c_87971,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00,
inference(splitRight,[status(thm)],[c_86402]) ).
tff(c_86360,plain,
( ( '#skF_3'(slcrc0,'#skF_7'('#skF_7'(szmzizndt0(xT))),slcrc0) != sz00 )
| ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 )
| ~ aElementOf0('#skF_7'('#skF_7'(szmzizndt0(xT))),szNzAzT0) ),
inference(resolution,[status(thm)],[c_86355,c_55234]) ).
tff(c_86389,plain,
( ( '#skF_3'(slcrc0,'#skF_7'('#skF_7'(szmzizndt0(xT))),slcrc0) != sz00 )
| ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_86355,c_86360]) ).
tff(c_87279,plain,
'#skF_3'(slcrc0,'#skF_7'('#skF_7'(szmzizndt0(xT))),slcrc0) != sz00,
inference(splitLeft,[status(thm)],[c_86389]) ).
tff(c_88042,plain,
'#skF_3'(slcrc0,sz00,slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_87971,c_87279]) ).
tff(c_88053,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53793,c_88042]) ).
tff(c_88054,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00,
inference(splitRight,[status(thm)],[c_86389]) ).
tff(c_83904,plain,
! [W1_74] :
( ( sz00 = W1_74 )
| ( szszuzczcdt0(W1_74) != szmzizndt0(xS) )
| ~ aElementOf0(W1_74,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_83819,c_116]) ).
tff(c_83961,plain,
! [W1_74] :
( ( sz00 = W1_74 )
| ( szszuzczcdt0(W1_74) != szmzizndt0(xS) )
| ~ aElementOf0(W1_74,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_83904]) ).
tff(c_86386,plain,
( ( '#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00 )
| ( szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))) != szmzizndt0(xS) ) ),
inference(resolution,[status(thm)],[c_86355,c_83961]) ).
tff(c_86709,plain,
szszuzczcdt0('#skF_7'('#skF_7'(szmzizndt0(xT)))) != szmzizndt0(xS),
inference(splitLeft,[status(thm)],[c_86386]) ).
tff(c_88056,plain,
szszuzczcdt0(sz00) != szmzizndt0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_88054,c_86709]) ).
tff(c_88066,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83819,c_88056]) ).
tff(c_88067,plain,
'#skF_7'('#skF_7'(szmzizndt0(xT))) = sz00,
inference(splitRight,[status(thm)],[c_86386]) ).
tff(c_88087,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) = szszuzczcdt0(sz00) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_88067,c_55171]) ).
tff(c_88139,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szmzizndt0(xS) )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85566,c_83819,c_86159,c_88087]) ).
tff(c_88140,plain,
'#skF_7'(szmzizndt0(xT)) = szmzizndt0(xS),
inference(negUnitSimplification,[status(thm)],[c_86160,c_88139]) ).
tff(c_88225,plain,
( ( '#skF_7'(szmzizndt0(xT)) = szmzizndt0(xT) )
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0)
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_88140,c_1369]) ).
tff(c_88274,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_1694,c_88140,c_88140,c_88225]) ).
tff(c_88275,plain,
( ~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS))
| ( szmzizndt0(xT) = sz00 ) ),
inference(negUnitSimplification,[status(thm)],[c_196,c_88274]) ).
tff(c_88457,plain,
~ sdtlseqdt0(szmzizndt0(xT),szmzizndt0(xS)),
inference(splitLeft,[status(thm)],[c_88275]) ).
tff(c_88463,plain,
( ~ aElementOf0(szmzizndt0(xS),xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_88457]) ).
tff(c_88469,plain,
xT = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_188,c_194,c_88463]) ).
tff(c_88471,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_88469]) ).
tff(c_88472,plain,
szmzizndt0(xT) = sz00,
inference(splitRight,[status(thm)],[c_88275]) ).
tff(c_88474,plain,
szmzizndt0(xS) = '#skF_7'(sz00),
inference(demodulation,[status(thm),theory(equality)],[c_88472,c_88140]) ).
tff(c_88500,plain,
szmzizndt0(xS) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_40548,c_88474]) ).
tff(c_88502,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_83714,c_88500]) ).
tff(c_88503,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitRight,[status(thm)],[c_85614]) ).
tff(c_85571,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) != sz00 )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ~ aElementOf0('#skF_7'(szmzizndt0(xT)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_85566,c_55234]) ).
tff(c_85600,plain,
( ( '#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) != sz00 )
| ( '#skF_7'(szmzizndt0(xT)) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_85566,c_85571]) ).
tff(c_86021,plain,
'#skF_3'(slcrc0,'#skF_7'(szmzizndt0(xT)),slcrc0) != sz00,
inference(splitLeft,[status(thm)],[c_85600]) ).
tff(c_88505,plain,
'#skF_3'(slcrc0,sz00,slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_88503,c_86021]) ).
tff(c_88516,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_53793,c_88505]) ).
tff(c_88517,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitRight,[status(thm)],[c_85600]) ).
tff(c_85597,plain,
( ( '#skF_7'(szmzizndt0(xT)) = sz00 )
| ( szszuzczcdt0('#skF_7'(szmzizndt0(xT))) != szmzizndt0(xS) ) ),
inference(resolution,[status(thm)],[c_85566,c_83961]) ).
tff(c_86010,plain,
szszuzczcdt0('#skF_7'(szmzizndt0(xT))) != szmzizndt0(xS),
inference(splitLeft,[status(thm)],[c_85597]) ).
tff(c_88519,plain,
szszuzczcdt0(sz00) != szmzizndt0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_88517,c_86010]) ).
tff(c_88529,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_83819,c_88519]) ).
tff(c_88530,plain,
'#skF_7'(szmzizndt0(xT)) = sz00,
inference(splitRight,[status(thm)],[c_85597]) ).
tff(c_88538,plain,
szmzizndt0(xT) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_88530,c_1907]) ).
tff(c_88586,plain,
( ( szszuzczcdt0(sz00) = szmzizndt0(xT) )
| ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_88530,c_118]) ).
tff(c_88624,plain,
( ( szmzizndt0(xT) = szmzizndt0(xS) )
| ( szmzizndt0(xT) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1879,c_83819,c_88586]) ).
tff(c_88625,plain,
szmzizndt0(xT) = sz00,
inference(negUnitSimplification,[status(thm)],[c_196,c_88624]) ).
tff(c_88689,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_88538,c_88625]) ).
tff(c_88690,plain,
szmzizndt0(xT) = sz00,
inference(splitRight,[status(thm)],[c_1878]) ).
tff(c_88699,plain,
szmzizndt0(xS) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_88690,c_196]) ).
tff(c_88698,plain,
aElementOf0(sz00,xS),
inference(demodulation,[status(thm),theory(equality)],[c_88690,c_192]) ).
tff(c_99940,plain,
! [W0_2094] :
( ( szmzizndt0(W0_2094) = sz00 )
| ~ aElementOf0(szmzizndt0(W0_2094),szNzAzT0)
| ~ aElementOf0(sz00,W0_2094)
| ( slcrc0 = W0_2094 )
| ~ aSubsetOf0(W0_2094,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_1153]) ).
tff(c_99954,plain,
( ( szmzizndt0(xS) = sz00 )
| ~ aElementOf0(sz00,xS)
| ( xS = slcrc0 )
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_1716,c_99940]) ).
tff(c_99977,plain,
( ( szmzizndt0(xS) = sz00 )
| ( xS = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_190,c_88698,c_99954]) ).
tff(c_99979,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_186,c_88699,c_99977]) ).
tff(c_99980,plain,
szmzizndt0(xS) = sz00,
inference(splitRight,[status(thm)],[c_1693]) ).
tff(c_99989,plain,
szmzizndt0(xT) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_99980,c_196]) ).
tff(c_99988,plain,
aElementOf0(sz00,xT),
inference(demodulation,[status(thm),theory(equality)],[c_99980,c_194]) ).
tff(c_100455,plain,
( ( '#skF_7'(szmzizndt0(xT)) != szmzizndt0(xT) )
| ~ aElementOf0(szmzizndt0(xT),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_99989,c_1647]) ).
tff(c_100456,plain,
~ aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(splitLeft,[status(thm)],[c_100455]) ).
tff(c_100459,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_577,c_100456]) ).
tff(c_100463,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_190,c_100459]) ).
tff(c_100465,plain,
aElementOf0(szmzizndt0(xT),szNzAzT0),
inference(splitRight,[status(thm)],[c_100455]) ).
tff(c_100489,plain,
! [W0_14] :
( aElementOf0(szmzizndt0(xT),W0_14)
| ~ aSubsetOf0(szNzAzT0,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_100465,c_24]) ).
tff(c_106698,plain,
! [W0_2319] :
( ( szmzizndt0(W0_2319) = sz00 )
| ~ aElementOf0(szmzizndt0(W0_2319),szNzAzT0)
| ~ aElementOf0(sz00,W0_2319)
| ( slcrc0 = W0_2319 )
| ~ aSubsetOf0(W0_2319,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_1153]) ).
tff(c_106713,plain,
( ( szmzizndt0(xT) = sz00 )
| ~ aElementOf0(sz00,xT)
| ( xT = slcrc0 )
| ~ aSubsetOf0(xT,szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_100489,c_106698]) ).
tff(c_106741,plain,
( ( szmzizndt0(xT) = sz00 )
| ( xT = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_500,c_188,c_99988,c_106713]) ).
tff(c_106743,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_184,c_99989,c_106741]) ).
tff(c_106745,plain,
isFinite0(szNzAzT0),
inference(splitRight,[status(thm)],[c_477]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_106754,plain,
( ~ isCountable0(szNzAzT0)
| ~ aSet0(szNzAzT0) ),
inference(resolution,[status(thm)],[c_106745,c_20]) ).
tff(c_106758,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_106,c_106754]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.16 % Problem : NUM539+1 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.17 % 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
% 0.13/0.39 % Computer : n029.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Tue Apr 8 13:24:19 EDT 2025
% 0.13/0.39 % CPUTime :
% 29.17/15.07 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 29.35/15.18
% 29.35/15.18 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------