%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM541+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n019.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 07:56:19 PM UTC 2025
% Result : Theorem 22.62s 8.97s
% Output : CNFRefutation 22.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 33
% Number of leaves : 27
% Syntax : Number of formulae : 298 ( 102 unt; 0 typ; 5 def)
% Number of atoms : 789 ( 160 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 931 ( 440 ~; 432 |; 21 &)
% ( 10 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 4 ( 1 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 : 24 ( 24 usr; 5 con; 0-3 aty)
% Number of variables : 182 ( 180 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xn > xm > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #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('#skF_11',type,
'#skF_11': ( $i * $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(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $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(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(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(xn,type,
xn: $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff(f_443,hypothesis,
( aElementOf0(xm,szNzAzT0)
& aElementOf0(xn,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1936) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
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/sandbox2/benchmark/theBenchmark.p',mDefMin) ).
tff(f_219,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(szszuzczcdt0(W0),szNzAzT0)
& ( szszuzczcdt0(W0) != sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
tff(f_273,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessRefl) ).
tff(f_435,definition,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( W1 = slbdtrb0(W0) )
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aElementOf0(W2,szNzAzT0)
& sdtlseqdt0(szszuzczcdt0(W2),W0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
tff(f_241,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( W0 != szszuzczcdt0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
tff(f_449,negated_conjecture,
~ ( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
<=> ( aElementOf0(xm,slbdtrb0(xn))
| ( xm = xn ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_212,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mLessTotal) ).
tff(f_252,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroLess) ).
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/sandbox2/benchmark/theBenchmark.p',mLessTrans) ).
tff(f_269,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mLessASymm) ).
tff(f_236,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( W0 = sz00 )
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& ( W0 = szszuzczcdt0(W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
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/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
tff(f_324,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_405,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& isFinite0(W0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzazxdt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
tff(f_440,axiom,
slbdtrb0(sz00) = slcrc0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
tff(f_257,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ~ sdtlseqdt0(szszuzczcdt0(W0),sz00) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNoScLessZr) ).
tff(f_265,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
tff(c_212,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_443]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_7377,plain,
! [W0_496] :
( aElementOf0(szmzizndt0(W0_496),W0_496)
| ( slcrc0 = W0_496 )
| ~ aSubsetOf0(W0_496,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_7395,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_7377,c_112]) ).
tff(c_7413,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_7395]) ).
tff(c_7416,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_7413]) ).
tff(c_7420,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_7416]) ).
tff(c_7422,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_7395]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_7490,plain,
! [W2_515,W0_516,W1_517] :
( aElementOf0(W2_515,W0_516)
| ~ aElementOf0(W2_515,W1_517)
| ~ aSubsetOf0(W1_517,W0_516)
| ~ aSet0(W0_516) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_7512,plain,
! [W0_72,W0_516] :
( aElementOf0(szszuzczcdt0(W0_72),W0_516)
| ~ aSubsetOf0(szNzAzT0,W0_516)
| ~ aSet0(W0_516)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_7490]) ).
tff(c_136,plain,
! [W0_85] :
( sdtlseqdt0(W0_85,W0_85)
| ~ aElementOf0(W0_85,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_273]) ).
tff(c_8194,plain,
! [W2_567,W0_568] :
( aElementOf0(W2_567,slbdtrb0(W0_568))
| ~ sdtlseqdt0(szszuzczcdt0(W2_567),W0_568)
| ~ aElementOf0(W2_567,szNzAzT0)
| ~ aElementOf0(W0_568,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_8219,plain,
! [W2_569] :
( aElementOf0(W2_569,slbdtrb0(szszuzczcdt0(W2_569)))
| ~ aElementOf0(W2_569,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(W2_569),szNzAzT0) ),
inference(resolution,[status(thm)],[c_136,c_8194]) ).
tff(c_284,plain,
! [W0_153] :
( ( szszuzczcdt0(W0_153) != W0_153 )
| ~ aElementOf0(W0_153,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_294,plain,
szszuzczcdt0(xm) != xm,
inference(resolution,[status(thm)],[c_212,c_284]) ).
tff(c_214,plain,
( ( xn != xm )
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_238,plain,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(splitLeft,[status(thm)],[c_214]) ).
tff(c_224,plain,
( aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn)))
| ( xn = xm )
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_297,plain,
( ( xn = xm )
| aElementOf0(xm,slbdtrb0(xn)) ),
inference(negUnitSimplification,[status(thm)],[c_238,c_224]) ).
tff(c_298,plain,
aElementOf0(xm,slbdtrb0(xn)),
inference(splitLeft,[status(thm)],[c_297]) ).
tff(c_458,plain,
! [W0_177] :
( aElementOf0(szmzizndt0(W0_177),W0_177)
| ( slcrc0 = W0_177 )
| ~ aSubsetOf0(W0_177,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_476,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_458,c_112]) ).
tff(c_536,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_476]) ).
tff(c_539,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_536]) ).
tff(c_543,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_539]) ).
tff(c_545,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_476]) ).
tff(c_669,plain,
! [W2_211,W0_212,W1_213] :
( aElementOf0(W2_211,W0_212)
| ~ aElementOf0(W2_211,W1_213)
| ~ aSubsetOf0(W1_213,W0_212)
| ~ aSet0(W0_212) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_695,plain,
! [W0_72,W0_212] :
( aElementOf0(szszuzczcdt0(W0_72),W0_212)
| ~ aSubsetOf0(szNzAzT0,W0_212)
| ~ aSet0(W0_212)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_669]) ).
tff(c_110,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_210,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_443]) ).
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_1636,plain,
! [W2_276,W0_277] :
( aElementOf0(W2_276,slbdtrb0(W0_277))
| ~ sdtlseqdt0(szszuzczcdt0(W2_276),W0_277)
| ~ aElementOf0(W2_276,szNzAzT0)
| ~ aElementOf0(W0_277,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_1872,plain,
! [W1_286,W0_287] :
( aElementOf0(W1_286,slbdtrb0(W0_287))
| sdtlseqdt0(W0_287,W1_286)
| ~ aElementOf0(W1_286,szNzAzT0)
| ~ aElementOf0(W0_287,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_1636]) ).
tff(c_1887,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c_1872,c_238]) ).
tff(c_1897,plain,
( sdtlseqdt0(szszuzczcdt0(xn),xm)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_1887]) ).
tff(c_1901,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_1897]) ).
tff(c_1904,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_695,c_1901]) ).
tff(c_1911,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_210,c_108,c_545,c_1904]) ).
tff(c_1913,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_1897]) ).
tff(c_126,plain,
! [W0_80] :
( sdtlseqdt0(sz00,W0_80)
| ~ aElementOf0(W0_80,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_1912,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(splitRight,[status(thm)],[c_1897]) ).
tff(c_4400,plain,
! [W0_401,W2_402,W1_403] :
( sdtlseqdt0(W0_401,W2_402)
| ~ sdtlseqdt0(W1_403,W2_402)
| ~ sdtlseqdt0(W0_401,W1_403)
| ~ aElementOf0(W2_402,szNzAzT0)
| ~ aElementOf0(W1_403,szNzAzT0)
| ~ aElementOf0(W0_401,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_4404,plain,
! [W0_401] :
( sdtlseqdt0(W0_401,xm)
| ~ sdtlseqdt0(W0_401,szszuzczcdt0(xn))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(W0_401,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1912,c_4400]) ).
tff(c_4458,plain,
! [W0_404] :
( sdtlseqdt0(W0_404,xm)
| ~ sdtlseqdt0(W0_404,szszuzczcdt0(xn))
| ~ aElementOf0(W0_404,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_212,c_4404]) ).
tff(c_4486,plain,
( sdtlseqdt0(sz00,xm)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c_126,c_4458]) ).
tff(c_4510,plain,
sdtlseqdt0(sz00,xm),
inference(demodulation,[status(thm),theory(equality)],[c_1913,c_110,c_4486]) ).
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_4525,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,xm)
| ~ sdtlseqdt0(W0_88,sz00)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_4510,c_140]) ).
tff(c_4547,plain,
! [W0_406] :
( sdtlseqdt0(W0_406,xm)
| ~ sdtlseqdt0(W0_406,sz00)
| ~ aElementOf0(W0_406,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_212,c_4525]) ).
tff(c_134,plain,
! [W0_84] :
( sdtlseqdt0(W0_84,szszuzczcdt0(W0_84))
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_2099,plain,
! [W1_293,W0_294] :
( ( W1_293 = W0_294 )
| ~ sdtlseqdt0(W1_293,W0_294)
| ~ sdtlseqdt0(W0_294,W1_293)
| ~ aElementOf0(W1_293,szNzAzT0)
| ~ aElementOf0(W0_294,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_2148,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_2099]) ).
tff(c_4557,plain,
( ( szszuzczcdt0(xm) = xm )
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xm),sz00)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(resolution,[status(thm)],[c_4547,c_2148]) ).
tff(c_4570,plain,
( ( szszuzczcdt0(xm) = xm )
| ~ sdtlseqdt0(szszuzczcdt0(xm),sz00)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_4557]) ).
tff(c_4571,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),sz00)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_294,c_4570]) ).
tff(c_4665,plain,
~ aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_4571]) ).
tff(c_4668,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_695,c_4665]) ).
tff(c_4675,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_108,c_545,c_4668]) ).
tff(c_4677,plain,
aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(splitRight,[status(thm)],[c_4571]) ).
tff(c_190,plain,
! [W2_142,W0_133] :
( sdtlseqdt0(szszuzczcdt0(W2_142),W0_133)
| ~ aElementOf0(W2_142,slbdtrb0(W0_133))
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_4482,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_4458]) ).
tff(c_4507,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_4482]) ).
tff(c_4515,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,xm)
| ~ sdtlseqdt0(W0_88,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_4507,c_140]) ).
tff(c_4904,plain,
! [W0_413] :
( sdtlseqdt0(W0_413,xm)
| ~ sdtlseqdt0(W0_413,xn)
| ~ aElementOf0(W0_413,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_212,c_4515]) ).
tff(c_4927,plain,
! [W2_142] :
( sdtlseqdt0(szszuzczcdt0(W2_142),xm)
| ~ aElementOf0(szszuzczcdt0(W2_142),szNzAzT0)
| ~ aElementOf0(W2_142,slbdtrb0(xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_190,c_4904]) ).
tff(c_7139,plain,
! [W2_465] :
( sdtlseqdt0(szszuzczcdt0(W2_465),xm)
| ~ aElementOf0(szszuzczcdt0(W2_465),szNzAzT0)
| ~ aElementOf0(W2_465,slbdtrb0(xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_4927]) ).
tff(c_7149,plain,
( ( szszuzczcdt0(xm) = xm )
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xm,slbdtrb0(xn)) ),
inference(resolution,[status(thm)],[c_7139,c_2148]) ).
tff(c_7172,plain,
szszuzczcdt0(xm) = xm,
inference(demodulation,[status(thm),theory(equality)],[c_298,c_4677,c_212,c_7149]) ).
tff(c_7174,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_294,c_7172]) ).
tff(c_7175,plain,
xn = xm,
inference(splitRight,[status(thm)],[c_297]) ).
tff(c_7179,plain,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xm))),
inference(demodulation,[status(thm),theory(equality)],[c_7175,c_238]) ).
tff(c_8230,plain,
( ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(resolution,[status(thm)],[c_8219,c_7179]) ).
tff(c_8242,plain,
~ aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_8230]) ).
tff(c_8245,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_7512,c_8242]) ).
tff(c_8252,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_108,c_7422,c_8245]) ).
tff(c_8253,plain,
xn != xm,
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_9973,plain,
! [W2_718,W0_719] :
( aElementOf0(W2_718,slbdtrb0(W0_719))
| ~ sdtlseqdt0(szszuzczcdt0(W2_718),W0_719)
| ~ aElementOf0(W2_718,szNzAzT0)
| ~ aElementOf0(W0_719,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_10062,plain,
! [W1_726,W0_727] :
( aElementOf0(W1_726,slbdtrb0(W0_727))
| sdtlseqdt0(W0_727,W1_726)
| ~ aElementOf0(W1_726,szNzAzT0)
| ~ aElementOf0(W0_727,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_9973]) ).
tff(c_8254,plain,
aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_214]) ).
tff(c_216,plain,
( ~ aElementOf0(xm,slbdtrb0(xn))
| ~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))) ),
inference(cnfTransformation,[status(thm)],[f_449]) ).
tff(c_8255,plain,
~ aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(splitLeft,[status(thm)],[c_216]) ).
tff(c_8264,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8254,c_8255]) ).
tff(c_8265,plain,
~ aElementOf0(xm,slbdtrb0(xn)),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_10077,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_10062,c_8265]) ).
tff(c_10087,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_212,c_10077]) ).
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_10092,plain,
( ( xn = xm )
| ~ sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_10087,c_138]) ).
tff(c_10095,plain,
( ( xn = xm )
| ~ sdtlseqdt0(xm,xn) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_210,c_10092]) ).
tff(c_10096,plain,
~ sdtlseqdt0(xm,xn),
inference(negUnitSimplification,[status(thm)],[c_8253,c_10095]) ).
tff(c_8475,plain,
! [W0_602] :
( aElementOf0(szmzizndt0(W0_602),W0_602)
| ( slcrc0 = W0_602 )
| ~ aSubsetOf0(W0_602,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_8492,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8475,c_112]) ).
tff(c_8585,plain,
~ aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitLeft,[status(thm)],[c_8492]) ).
tff(c_8589,plain,
~ aSet0(szNzAzT0),
inference(resolution,[status(thm)],[c_34,c_8585]) ).
tff(c_8593,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_108,c_8589]) ).
tff(c_8595,plain,
aSubsetOf0(szNzAzT0,szNzAzT0),
inference(splitRight,[status(thm)],[c_8492]) ).
tff(c_8685,plain,
! [W2_633,W0_634,W1_635] :
( aElementOf0(W2_633,W0_634)
| ~ aElementOf0(W2_633,W1_635)
| ~ aSubsetOf0(W1_635,W0_634)
| ~ aSet0(W0_634) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_8714,plain,
! [W0_72,W0_634] :
( aElementOf0(szszuzczcdt0(W0_72),W0_634)
| ~ aSubsetOf0(szNzAzT0,W0_634)
| ~ aSet0(W0_634)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_8685]) ).
tff(c_8295,plain,
! [W0_578] :
( ( szszuzczcdt0(W0_578) != W0_578 )
| ~ aElementOf0(W0_578,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_8307,plain,
szszuzczcdt0(xn) != xn,
inference(resolution,[status(thm)],[c_210,c_8295]) ).
tff(c_10984,plain,
! [W0_768,W2_769,W1_770] :
( sdtlseqdt0(W0_768,W2_769)
| ~ sdtlseqdt0(W1_770,W2_769)
| ~ sdtlseqdt0(W0_768,W1_770)
| ~ aElementOf0(W2_769,szNzAzT0)
| ~ aElementOf0(W1_770,szNzAzT0)
| ~ aElementOf0(W0_768,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_10986,plain,
! [W0_768] :
( sdtlseqdt0(W0_768,xm)
| ~ sdtlseqdt0(W0_768,xn)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(W0_768,szNzAzT0) ),
inference(resolution,[status(thm)],[c_10087,c_10984]) ).
tff(c_11081,plain,
! [W0_771] :
( sdtlseqdt0(W0_771,xm)
| ~ sdtlseqdt0(W0_771,xn)
| ~ aElementOf0(W0_771,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_212,c_10986]) ).
tff(c_11101,plain,
( sdtlseqdt0(sz00,xm)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_126,c_11081]) ).
tff(c_11118,plain,
sdtlseqdt0(sz00,xm),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_110,c_11101]) ).
tff(c_11125,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11118,c_138]) ).
tff(c_11131,plain,
( ( xm = sz00 )
| ~ sdtlseqdt0(xm,sz00) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_110,c_11125]) ).
tff(c_11133,plain,
~ sdtlseqdt0(xm,sz00),
inference(splitLeft,[status(thm)],[c_11131]) ).
tff(c_8305,plain,
szszuzczcdt0(xm) != xm,
inference(resolution,[status(thm)],[c_212,c_8295]) ).
tff(c_11123,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,xm)
| ~ sdtlseqdt0(W0_88,sz00)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11118,c_140]) ).
tff(c_11134,plain,
! [W0_772] :
( sdtlseqdt0(W0_772,xm)
| ~ sdtlseqdt0(W0_772,sz00)
| ~ aElementOf0(W0_772,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_212,c_11123]) ).
tff(c_11142,plain,
! [W0_772] :
( ( xm = W0_772 )
| ~ sdtlseqdt0(xm,W0_772)
| ~ aElementOf0(xm,szNzAzT0)
| ~ sdtlseqdt0(W0_772,sz00)
| ~ aElementOf0(W0_772,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11134,c_138]) ).
tff(c_11324,plain,
! [W0_781] :
( ( xm = W0_781 )
| ~ sdtlseqdt0(xm,W0_781)
| ~ sdtlseqdt0(W0_781,sz00)
| ~ aElementOf0(W0_781,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_11142]) ).
tff(c_11333,plain,
( ( szszuzczcdt0(xm) = xm )
| ~ sdtlseqdt0(szszuzczcdt0(xm),sz00)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_11324]) ).
tff(c_11343,plain,
( ( szszuzczcdt0(xm) = xm )
| ~ sdtlseqdt0(szszuzczcdt0(xm),sz00)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_11333]) ).
tff(c_11344,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xm),sz00)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_8305,c_11343]) ).
tff(c_11348,plain,
~ aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_11344]) ).
tff(c_11351,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8714,c_11348]) ).
tff(c_11358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_108,c_8595,c_11351]) ).
tff(c_11360,plain,
aElementOf0(szszuzczcdt0(xm),szNzAzT0),
inference(splitRight,[status(thm)],[c_11344]) ).
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_8502,plain,
! [W0_605] :
( ( szszuzczcdt0('#skF_7'(W0_605)) = W0_605 )
| ( sz00 = W0_605 )
| ~ aElementOf0(W0_605,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_8514,plain,
! [W0_605] :
( sdtlseqdt0('#skF_7'(W0_605),W0_605)
| ~ aElementOf0('#skF_7'(W0_605),szNzAzT0)
| ( sz00 = W0_605 )
| ~ aElementOf0(W0_605,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8502,c_134]) ).
tff(c_11085,plain,
( sdtlseqdt0('#skF_7'(xn),xm)
| ~ aElementOf0('#skF_7'(xn),szNzAzT0)
| ( xn = sz00 )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8514,c_11081]) ).
tff(c_11108,plain,
( sdtlseqdt0('#skF_7'(xn),xm)
| ~ aElementOf0('#skF_7'(xn),szNzAzT0)
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_11085]) ).
tff(c_11223,plain,
~ aElementOf0('#skF_7'(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_11108]) ).
tff(c_11226,plain,
( ( xn = sz00 )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_11223]) ).
tff(c_11229,plain,
xn = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_210,c_11226]) ).
tff(c_8266,plain,
aElementOf0(xm,slbdtrb0(szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_216]) ).
tff(c_11240,plain,
aElementOf0(xm,slbdtrb0(szszuzczcdt0(sz00))),
inference(demodulation,[status(thm),theory(equality)],[c_11229,c_8266]) ).
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_226,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_10456,plain,
! [W0_753,W1_754] :
( ( szszuzczcdt0(sbrdtbr0(W0_753)) = sbrdtbr0(sdtpldt0(W0_753,W1_754)) )
| aElementOf0(W1_754,W0_753)
| ~ aElement0(W1_754)
| ~ isFinite0(W0_753)
| ~ aSet0(W0_753) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_10580,plain,
! [W1_754] :
( ( sbrdtbr0(sdtpldt0(slcrc0,W1_754)) = szszuzczcdt0(sz00) )
| aElementOf0(W1_754,slcrc0)
| ~ aElement0(W1_754)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_226,c_10456]) ).
tff(c_10584,plain,
! [W1_754] :
( ( sbrdtbr0(sdtpldt0(slcrc0,W1_754)) = szszuzczcdt0(sz00) )
| aElementOf0(W1_754,slcrc0)
| ~ aElement0(W1_754) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_10580]) ).
tff(c_10586,plain,
! [W1_755] :
( ( sbrdtbr0(sdtpldt0(slcrc0,W1_755)) = szszuzczcdt0(sz00) )
| ~ aElement0(W1_755) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_10584]) ).
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_10625,plain,
! [W1_755] :
( isFinite0(sdtpldt0(slcrc0,W1_755))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aSet0(sdtpldt0(slcrc0,W1_755))
| ~ aElement0(W1_755) ),
inference(superposition,[status(thm),theory(equality)],[c_10586,c_152]) ).
tff(c_13007,plain,
~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0),
inference(splitLeft,[status(thm)],[c_10625]) ).
tff(c_13010,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8714,c_13007]) ).
tff(c_13017,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_108,c_8595,c_13010]) ).
tff(c_13019,plain,
aElementOf0(szszuzczcdt0(sz00),szNzAzT0),
inference(splitRight,[status(thm)],[c_10625]) ).
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_8365,plain,
! [W1_587,W0_588] :
( aElement0(W1_587)
| ~ aElementOf0(W1_587,W0_588)
| ~ aSet0(W0_588) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_8368,plain,
! [W0_72] :
( aElement0(szszuzczcdt0(W0_72))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_8365]) ).
tff(c_8383,plain,
! [W0_72] :
( aElement0(szszuzczcdt0(W0_72))
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_8368]) ).
tff(c_8828,plain,
! [W0_648] :
( aElement0(W0_648)
| ~ aElementOf0('#skF_7'(W0_648),szNzAzT0)
| ( sz00 = W0_648 )
| ~ aElementOf0(W0_648,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8502,c_8383]) ).
tff(c_8833,plain,
! [W0_649] :
( aElement0(W0_649)
| ( sz00 = W0_649 )
| ~ aElementOf0(W0_649,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_8828]) ).
tff(c_8844,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ( szmzizndt0(szNzAzT0) = sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_170,c_8833]) ).
tff(c_8870,plain,
( aElement0(szmzizndt0(szNzAzT0))
| ( szmzizndt0(szNzAzT0) = sz00 )
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8595,c_8844]) ).
tff(c_8894,plain,
szNzAzT0 = slcrc0,
inference(splitLeft,[status(thm)],[c_8870]) ).
tff(c_8652,plain,
! [W0_632] :
( aElementOf0(szmzazxdt0(W0_632),W0_632)
| ( slcrc0 = W0_632 )
| ~ isFinite0(W0_632)
| ~ aSubsetOf0(W0_632,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_8663,plain,
( ( szszuzczcdt0(szmzazxdt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ isFinite0(szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8652,c_112]) ).
tff(c_8676,plain,
( ( szszuzczcdt0(szmzazxdt0(szNzAzT0)) != sz00 )
| ( szNzAzT0 = slcrc0 )
| ~ isFinite0(szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8595,c_8663]) ).
tff(c_8684,plain,
~ isFinite0(szNzAzT0),
inference(splitLeft,[status(thm)],[c_8676]) ).
tff(c_8899,plain,
~ isFinite0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_8894,c_8684]) ).
tff(c_8940,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_8899]) ).
tff(c_8942,plain,
szNzAzT0 != slcrc0,
inference(splitRight,[status(thm)],[c_8870]) ).
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_8532,plain,
! [W0_606] :
( aElementOf0('#skF_7'(W0_606),szNzAzT0)
| ( sz00 = W0_606 )
| ~ aElementOf0(W0_606,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_8638,plain,
! [W0_629] :
( ( szszuzczcdt0('#skF_7'(W0_629)) != '#skF_7'(W0_629) )
| ( sz00 = W0_629 )
| ~ aElementOf0(W0_629,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8532,c_122]) ).
tff(c_9652,plain,
! [W0_705] :
( ( '#skF_7'(W0_705) != W0_705 )
| ( sz00 = W0_705 )
| ~ aElementOf0(W0_705,szNzAzT0)
| ( sz00 = W0_705 )
| ~ aElementOf0(W0_705,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_8638]) ).
tff(c_9672,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_9652]) ).
tff(c_9705,plain,
( ( '#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8595,c_9672]) ).
tff(c_9706,plain,
( ( '#skF_7'(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_8942,c_9705]) ).
tff(c_9749,plain,
~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0),
inference(splitLeft,[status(thm)],[c_9706]) ).
tff(c_9752,plain,
( ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_170,c_9749]) ).
tff(c_9755,plain,
szNzAzT0 = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_8595,c_9752]) ).
tff(c_9757,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8942,c_9755]) ).
tff(c_9759,plain,
aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0),
inference(splitRight,[status(thm)],[c_9706]) ).
tff(c_208,plain,
slbdtrb0(sz00) = slcrc0,
inference(cnfTransformation,[status(thm)],[f_440]) ).
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_10218,plain,
! [W1_731,W0_732] :
( ~ sdtlseqdt0(W1_731,'#skF_9'(W0_732,W1_731))
| ( szmzizndt0(W0_732) = W1_731 )
| ~ aElementOf0(W1_731,W0_732)
| ( slcrc0 = W0_732 )
| ~ aSubsetOf0(W0_732,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_18169,plain,
! [W0_964] :
( ( szmzizndt0(W0_964) = sz00 )
| ~ aElementOf0(sz00,W0_964)
| ( slcrc0 = W0_964 )
| ~ aSubsetOf0(W0_964,szNzAzT0)
| ~ aElementOf0('#skF_9'(W0_964,sz00),szNzAzT0) ),
inference(resolution,[status(thm)],[c_126,c_10218]) ).
tff(c_18173,plain,
( ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(sz00,szNzAzT0)
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_174,c_18169]) ).
tff(c_18176,plain,
( ( szmzizndt0(szNzAzT0) = sz00 )
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8595,c_110,c_18173]) ).
tff(c_18177,plain,
szmzizndt0(szNzAzT0) = sz00,
inference(negUnitSimplification,[status(thm)],[c_8942,c_18176]) ).
tff(c_188,plain,
! [W0_133] :
( aSet0(slbdtrb0(W0_133))
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_8493,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szNzAzT0 = slcrc0 )
| ~ aSubsetOf0(szNzAzT0,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8475,c_122]) ).
tff(c_8643,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0) )
| ( szNzAzT0 = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_8595,c_8493]) ).
tff(c_8644,plain,
szszuzczcdt0(szmzizndt0(szNzAzT0)) != szmzizndt0(szNzAzT0),
inference(splitLeft,[status(thm)],[c_8643]) ).
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_9781,plain,
! [W0_14] :
( aElementOf0(szmzizndt0(szNzAzT0),W0_14)
| ~ aSubsetOf0(szNzAzT0,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_9759,c_24]) ).
tff(c_9567,plain,
! [W1_694,W0_695] :
( ( W1_694 = W0_695 )
| ~ sdtlseqdt0(W1_694,W0_695)
| ~ sdtlseqdt0(W0_695,W1_694)
| ~ aElementOf0(W1_694,szNzAzT0)
| ~ aElementOf0(W0_695,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_12517,plain,
! [W0_831] :
( ( szszuzczcdt0(W0_831) = W0_831 )
| ~ sdtlseqdt0(szszuzczcdt0(W0_831),W0_831)
| ~ aElementOf0(szszuzczcdt0(W0_831),szNzAzT0)
| ~ aElementOf0(W0_831,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_9567]) ).
tff(c_15471,plain,
! [W0_896] :
( ( szszuzczcdt0(W0_896) = W0_896 )
| ~ aElementOf0(szszuzczcdt0(W0_896),szNzAzT0)
| ~ aElementOf0(W0_896,slbdtrb0(W0_896))
| ~ aElementOf0(W0_896,szNzAzT0) ),
inference(resolution,[status(thm)],[c_190,c_12517]) ).
tff(c_15581,plain,
! [W0_902] :
( ( szszuzczcdt0(W0_902) = W0_902 )
| ~ aElementOf0(W0_902,slbdtrb0(W0_902))
| ~ aElementOf0(W0_902,szNzAzT0) ),
inference(resolution,[status(thm)],[c_114,c_15471]) ).
tff(c_15605,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) = szmzizndt0(szNzAzT0) )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
inference(resolution,[status(thm)],[c_9781,c_15581]) ).
tff(c_15634,plain,
( ( szszuzczcdt0(szmzizndt0(szNzAzT0)) = szmzizndt0(szNzAzT0) )
| ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
inference(demodulation,[status(thm),theory(equality)],[c_9759,c_15605]) ).
tff(c_15635,plain,
( ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzizndt0(szNzAzT0)))
| ~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0))) ),
inference(negUnitSimplification,[status(thm)],[c_8644,c_15634]) ).
tff(c_15722,plain,
~ aSet0(slbdtrb0(szmzizndt0(szNzAzT0))),
inference(splitLeft,[status(thm)],[c_15635]) ).
tff(c_15734,plain,
~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0),
inference(resolution,[status(thm)],[c_188,c_15722]) ).
tff(c_15738,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9759,c_15734]) ).
tff(c_15740,plain,
aSet0(slbdtrb0(szmzizndt0(szNzAzT0))),
inference(splitRight,[status(thm)],[c_15635]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_15752,plain,
( ( slbdtrb0(szmzizndt0(szNzAzT0)) = slcrc0 )
| ( sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) != sz00 ) ),
inference(resolution,[status(thm)],[c_15740,c_156]) ).
tff(c_15753,plain,
sbrdtbr0(slbdtrb0(szmzizndt0(szNzAzT0))) != sz00,
inference(splitLeft,[status(thm)],[c_15752]) ).
tff(c_18197,plain,
sbrdtbr0(slbdtrb0(sz00)) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_18177,c_15753]) ).
tff(c_18223,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_226,c_208,c_18197]) ).
tff(c_18224,plain,
slbdtrb0(szmzizndt0(szNzAzT0)) = slcrc0,
inference(splitRight,[status(thm)],[c_15752]) ).
tff(c_10003,plain,
! [W1_92,W0_91] :
( aElementOf0(W1_92,slbdtrb0(W0_91))
| sdtlseqdt0(W0_91,W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(W0_91,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_9973]) ).
tff(c_18247,plain,
! [W1_92] :
( aElementOf0(W1_92,slcrc0)
| sdtlseqdt0(szmzizndt0(szNzAzT0),W1_92)
| ~ aElementOf0(W1_92,szNzAzT0)
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_18224,c_10003]) ).
tff(c_18278,plain,
! [W1_92] :
( aElementOf0(W1_92,slcrc0)
| sdtlseqdt0(szmzizndt0(szNzAzT0),W1_92)
| ~ aElementOf0(W1_92,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_9759,c_18247]) ).
tff(c_18301,plain,
! [W1_967] :
( sdtlseqdt0(szmzizndt0(szNzAzT0),W1_967)
| ~ aElementOf0(W1_967,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_18278]) ).
tff(c_128,plain,
! [W0_81] :
( ~ sdtlseqdt0(szszuzczcdt0(W0_81),sz00)
| ~ aElementOf0(W0_81,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_257]) ).
tff(c_9215,plain,
! [W0_677] :
( ~ sdtlseqdt0(W0_677,sz00)
| ~ aElementOf0('#skF_7'(W0_677),szNzAzT0)
| ( sz00 = W0_677 )
| ~ aElementOf0(W0_677,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8502,c_128]) ).
tff(c_9219,plain,
! [W0_75] :
( ~ sdtlseqdt0(W0_75,sz00)
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_9215]) ).
tff(c_18332,plain,
( ( szmzizndt0(szNzAzT0) = sz00 )
| ~ aElementOf0(szmzizndt0(szNzAzT0),szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(resolution,[status(thm)],[c_18301,c_9219]) ).
tff(c_18360,plain,
szmzizndt0(szNzAzT0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_110,c_9759,c_18332]) ).
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_11112,plain,
! [W0_111] :
( sdtlseqdt0(szmzizndt0(W0_111),xm)
| ~ aElementOf0(szmzizndt0(W0_111),szNzAzT0)
| ~ aElementOf0(xn,W0_111)
| ( slcrc0 = W0_111 )
| ~ aSubsetOf0(W0_111,szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_11081]) ).
tff(c_11313,plain,
! [W0_780] :
( sdtlseqdt0(szmzizndt0(W0_780),xm)
| ~ aElementOf0(szmzizndt0(W0_780),szNzAzT0)
| ~ aElementOf0(sz00,W0_780)
| ( slcrc0 = W0_780 )
| ~ aSubsetOf0(W0_780,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_11229,c_11112]) ).
tff(c_11315,plain,
! [W0_88,W0_780] :
( sdtlseqdt0(W0_88,xm)
| ~ sdtlseqdt0(W0_88,szmzizndt0(W0_780))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0)
| ~ aElementOf0(szmzizndt0(W0_780),szNzAzT0)
| ~ aElementOf0(sz00,W0_780)
| ( slcrc0 = W0_780 )
| ~ aSubsetOf0(W0_780,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11313,c_140]) ).
tff(c_12115,plain,
! [W0_810,W0_811] :
( sdtlseqdt0(W0_810,xm)
| ~ sdtlseqdt0(W0_810,szmzizndt0(W0_811))
| ~ aElementOf0(W0_810,szNzAzT0)
| ~ aElementOf0(szmzizndt0(W0_811),szNzAzT0)
| ~ aElementOf0(sz00,W0_811)
| ( slcrc0 = W0_811 )
| ~ aSubsetOf0(W0_811,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_11315]) ).
tff(c_12426,plain,
! [W2_829,W0_830] :
( sdtlseqdt0(szszuzczcdt0(W2_829),xm)
| ~ aElementOf0(szszuzczcdt0(W2_829),szNzAzT0)
| ~ aElementOf0(sz00,W0_830)
| ( slcrc0 = W0_830 )
| ~ aSubsetOf0(W0_830,szNzAzT0)
| ~ aElementOf0(W2_829,slbdtrb0(szmzizndt0(W0_830)))
| ~ aElementOf0(szmzizndt0(W0_830),szNzAzT0) ),
inference(resolution,[status(thm)],[c_190,c_12115]) ).
tff(c_12509,plain,
! [W0_830] :
( sdtlseqdt0(szszuzczcdt0(szmzizndt0(szNzAzT0)),xm)
| ~ aElementOf0(szszuzczcdt0(szmzizndt0(szNzAzT0)),szNzAzT0)
| ~ aElementOf0(sz00,W0_830)
| ( slcrc0 = W0_830 )
| ~ aSubsetOf0(W0_830,szNzAzT0)
| ~ aElementOf0(szmzizndt0(W0_830),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzizndt0(W0_830)))
| ~ aSet0(slbdtrb0(szmzizndt0(W0_830))) ),
inference(resolution,[status(thm)],[c_9781,c_12426]) ).
tff(c_18797,plain,
! [W0_830] :
( sdtlseqdt0(szszuzczcdt0(sz00),xm)
| ~ aElementOf0(sz00,W0_830)
| ( slcrc0 = W0_830 )
| ~ aSubsetOf0(W0_830,szNzAzT0)
| ~ aElementOf0(szmzizndt0(W0_830),szNzAzT0)
| ~ aSubsetOf0(szNzAzT0,slbdtrb0(szmzizndt0(W0_830)))
| ~ aSet0(slbdtrb0(szmzizndt0(W0_830))) ),
inference(demodulation,[status(thm),theory(equality)],[c_13019,c_18360,c_18360,c_12509]) ).
tff(c_18798,plain,
sdtlseqdt0(szszuzczcdt0(sz00),xm),
inference(splitLeft,[status(thm)],[c_18797]) ).
tff(c_18802,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,xm)
| ~ sdtlseqdt0(W0_88,szszuzczcdt0(sz00))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_18798,c_140]) ).
tff(c_19077,plain,
! [W0_986] :
( sdtlseqdt0(W0_986,xm)
| ~ sdtlseqdt0(W0_986,szszuzczcdt0(sz00))
| ~ aElementOf0(W0_986,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_13019,c_212,c_18802]) ).
tff(c_19113,plain,
! [W2_142] :
( sdtlseqdt0(szszuzczcdt0(W2_142),xm)
| ~ aElementOf0(szszuzczcdt0(W2_142),szNzAzT0)
| ~ aElementOf0(W2_142,slbdtrb0(szszuzczcdt0(sz00)))
| ~ aElementOf0(szszuzczcdt0(sz00),szNzAzT0) ),
inference(resolution,[status(thm)],[c_190,c_19077]) ).
tff(c_21601,plain,
! [W2_1040] :
( sdtlseqdt0(szszuzczcdt0(W2_1040),xm)
| ~ aElementOf0(szszuzczcdt0(W2_1040),szNzAzT0)
| ~ aElementOf0(W2_1040,slbdtrb0(szszuzczcdt0(sz00))) ),
inference(demodulation,[status(thm),theory(equality)],[c_13019,c_19113]) ).
tff(c_21708,plain,
( sdtlseqdt0(szszuzczcdt0(xm),xm)
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0) ),
inference(resolution,[status(thm)],[c_11240,c_21601]) ).
tff(c_21837,plain,
sdtlseqdt0(szszuzczcdt0(xm),xm),
inference(demodulation,[status(thm),theory(equality)],[c_11360,c_21708]) ).
tff(c_9602,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_9567]) ).
tff(c_21870,plain,
( ( szszuzczcdt0(xm) = xm )
| ~ aElementOf0(szszuzczcdt0(xm),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_21837,c_9602]) ).
tff(c_21883,plain,
szszuzczcdt0(xm) = xm,
inference(demodulation,[status(thm),theory(equality)],[c_212,c_11360,c_21870]) ).
tff(c_21885,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8305,c_21883]) ).
tff(c_21887,plain,
~ sdtlseqdt0(szszuzczcdt0(sz00),xm),
inference(splitRight,[status(thm)],[c_18797]) ).
tff(c_21896,plain,
( sdtlseqdt0(xm,sz00)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_142,c_21887]) ).
tff(c_21908,plain,
sdtlseqdt0(xm,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_212,c_110,c_21896]) ).
tff(c_21910,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11133,c_21908]) ).
tff(c_21912,plain,
aElementOf0('#skF_7'(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_11108]) ).
tff(c_21911,plain,
( ( xn = sz00 )
| sdtlseqdt0('#skF_7'(xn),xm) ),
inference(splitRight,[status(thm)],[c_11108]) ).
tff(c_22016,plain,
sdtlseqdt0('#skF_7'(xn),xm),
inference(splitLeft,[status(thm)],[c_21911]) ).
tff(c_22018,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,xm)
| ~ sdtlseqdt0(W0_88,'#skF_7'(xn))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0('#skF_7'(xn),szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_22016,c_140]) ).
tff(c_22141,plain,
! [W0_1047] :
( sdtlseqdt0(W0_1047,xm)
| ~ sdtlseqdt0(W0_1047,'#skF_7'(xn))
| ~ aElementOf0(W0_1047,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_21912,c_212,c_22018]) ).
tff(c_22145,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(xn)),xm)
| ~ aElementOf0('#skF_7'('#skF_7'(xn)),szNzAzT0)
| ( '#skF_7'(xn) = sz00 )
| ~ aElementOf0('#skF_7'(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c_8514,c_22141]) ).
tff(c_22168,plain,
( sdtlseqdt0('#skF_7'('#skF_7'(xn)),xm)
| ~ aElementOf0('#skF_7'('#skF_7'(xn)),szNzAzT0)
| ( '#skF_7'(xn) = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_21912,c_22145]) ).
tff(c_23687,plain,
~ aElementOf0('#skF_7'('#skF_7'(xn)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_22168]) ).
tff(c_23728,plain,
( ( '#skF_7'(xn) = sz00 )
| ~ aElementOf0('#skF_7'(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c_120,c_23687]) ).
tff(c_23731,plain,
'#skF_7'(xn) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_21912,c_23728]) ).
tff(c_9685,plain,
( ( '#skF_7'(xn) != xn )
| ( xn = sz00 )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_210,c_9652]) ).
tff(c_9722,plain,
( ( '#skF_7'(xn) != xn )
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_9685]) ).
tff(c_9748,plain,
'#skF_7'(xn) != xn,
inference(splitLeft,[status(thm)],[c_9722]) ).
tff(c_23744,plain,
xn != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_23731,c_9748]) ).
tff(c_23758,plain,
( sdtlseqdt0(sz00,xn)
| ~ aElementOf0('#skF_7'(xn),szNzAzT0)
| ( xn = sz00 )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_23731,c_8514]) ).
tff(c_23784,plain,
( sdtlseqdt0(sz00,xn)
| ( xn = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_110,c_23731,c_23758]) ).
tff(c_23872,plain,
sdtlseqdt0(sz00,xn),
inference(negUnitSimplification,[status(thm)],[c_23744,c_23784]) ).
tff(c_23877,plain,
! [W0_88] :
( sdtlseqdt0(W0_88,xn)
| ~ sdtlseqdt0(W0_88,sz00)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_88,szNzAzT0) ),
inference(resolution,[status(thm)],[c_23872,c_140]) ).
tff(c_33489,plain,
! [W0_1283] :
( sdtlseqdt0(W0_1283,xn)
| ~ sdtlseqdt0(W0_1283,sz00)
| ~ aElementOf0(W0_1283,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_210,c_23877]) ).
tff(c_33513,plain,
! [W0_1283] :
( ( xn = W0_1283 )
| ~ sdtlseqdt0(xn,W0_1283)
| ~ aElementOf0(xn,szNzAzT0)
| ~ sdtlseqdt0(W0_1283,sz00)
| ~ aElementOf0(W0_1283,szNzAzT0) ),
inference(resolution,[status(thm)],[c_33489,c_138]) ).
tff(c_34526,plain,
! [W0_1318] :
( ( xn = W0_1318 )
| ~ sdtlseqdt0(xn,W0_1318)
| ~ sdtlseqdt0(W0_1318,sz00)
| ~ aElementOf0(W0_1318,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_33513]) ).
tff(c_34556,plain,
( ( szszuzczcdt0(xn) = xn )
| ~ sdtlseqdt0(szszuzczcdt0(xn),sz00)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_34526]) ).
tff(c_34589,plain,
( ( szszuzczcdt0(xn) = xn )
| ~ sdtlseqdt0(szszuzczcdt0(xn),sz00)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_210,c_34556]) ).
tff(c_34590,plain,
( ~ sdtlseqdt0(szszuzczcdt0(xn),sz00)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_8307,c_34589]) ).
tff(c_34594,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_34590]) ).
tff(c_34614,plain,
( ~ aSubsetOf0(szNzAzT0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8714,c_34594]) ).
tff(c_34621,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_210,c_108,c_8595,c_34614]) ).
tff(c_34623,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_34590]) ).
tff(c_9936,plain,
! [W0_716,W1_717] :
( sdtlseqdt0(W0_716,W1_717)
| ~ sdtlseqdt0(szszuzczcdt0(W0_716),szszuzczcdt0(W1_717))
| ~ aElementOf0(W1_717,szNzAzT0)
| ~ aElementOf0(W0_716,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_51303,plain,
! [W2_1542,W1_1543] :
( sdtlseqdt0(W2_1542,W1_1543)
| ~ aElementOf0(W1_1543,szNzAzT0)
| ~ aElementOf0(W2_1542,szNzAzT0)
| ~ aElementOf0(W2_1542,slbdtrb0(szszuzczcdt0(W1_1543)))
| ~ aElementOf0(szszuzczcdt0(W1_1543),szNzAzT0) ),
inference(resolution,[status(thm)],[c_190,c_9936]) ).
tff(c_51531,plain,
( sdtlseqdt0(xm,xn)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(resolution,[status(thm)],[c_8266,c_51303]) ).
tff(c_51625,plain,
sdtlseqdt0(xm,xn),
inference(demodulation,[status(thm),theory(equality)],[c_34623,c_212,c_210,c_51531]) ).
tff(c_51627,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10096,c_51625]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM541+1 : TPTP v9.0.0. Released v4.0.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Apr 8 13:25:33 EDT 2025
% 0.13/0.34 % CPUTime :
% 22.62/8.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 22.73/8.99
% 22.73/8.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------