TSTP Solution File: NUM577+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM577+3 : TPTP v8.1.2. 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 : n032.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 : Tue Aug 22 10:52:11 EDT 2023
% Result : Theorem 105.16s 83.03s
% Output : CNFRefutation 105.45s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 98
% Syntax : Number of formulae : 464 ( 197 unt; 74 typ; 4 def)
% Number of atoms : 900 ( 77 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 973 ( 463 ~; 394 |; 64 &)
% ( 9 <=>; 43 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 127 ( 60 >; 67 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 65 ( 65 usr; 14 con; 0-4 aty)
% Number of variables : 209 (; 207 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xn > xm > xk > xj > xi > xc > xT > xS > xN > xK > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_38 > #skF_37 > #skF_4 > #skF_29 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_27 > #skF_36 > #skF_21 > #skF_9 > #skF_22 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(xj,type,
xj: $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szDzozmdt0,type,
szDzozmdt0: $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('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(xi,type,
xi: $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $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(xN,type,
xN: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(sdtlcdtrc0,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff(xn,type,
xn: $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff(xK,type,
xK: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_911,hypothesis,
( aElementOf0(xn,szNzAzT0)
& aElementOf0(xm,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3904) ).
tff(f_886,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
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_899,hypothesis,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
tff(f_956,negated_conjecture,
~ ( sdtlseqdt0(szszuzczcdt0(xn),xm)
=> ( ( ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0) ) )
=> ( ( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
& ! [W0] :
( aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
<=> ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xn))
& ( W0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) )
| aSubsetOf0(sdtlpdtrp0(xN,xm),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))) ) ) )
& ~ ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0) )
& aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn))
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0) )
& ( szmzizndt0(sdtlpdtrp0(xN,xm)) = szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
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_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_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_269,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(W0,szszuzczcdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessSucc) ).
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_674,hypothesis,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
tff(f_252,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
tff(f_212,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
tff(f_873,hypothesis,
( aFunction0(xN)
& ( szDzozmdt0(xN) = szNzAzT0 )
& ( sdtlpdtrp0(xN,sz00) = xS )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,W0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
tff(f_721,hypothesis,
( aFunction0(xc)
& ! [W0] :
( ( aElementOf0(W0,szDzozmdt0(xc))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& ( sbrdtbr0(W0) = xK ) ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& ( sbrdtbr0(W0) = xK ) )
=> aElementOf0(W0,szDzozmdt0(xc)) ) )
& ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [W0] :
( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [W1] :
( aElementOf0(W1,szDzozmdt0(xc))
& ( sdtlpdtrp0(xc,W1) = W0 ) ) )
& ! [W0] :
( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(W0,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3453) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEmpFin) ).
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_156,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElement0(W1) )
=> ! [W2] :
( ( W2 = sdtmndt0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElement0(W3)
& aElementOf0(W3,W0)
& ( W3 != W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
tff(f_119,axiom,
! [W0,W1,W2] :
( ( aSet0(W0)
& aSet0(W1)
& aSet0(W2) )
=> ( ( aSubsetOf0(W0,W1)
& aSubsetOf0(W1,W2) )
=> aSubsetOf0(W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubTrans) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_8412,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_911]) ).
tff(c_8396,plain,
! [W0_581] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_581),szNzAzT0)
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_118375,plain,
! [W0_3641] :
( aElementOf0(szmzizndt0(W0_3641),W0_3641)
| ( slcrc0 = W0_3641 )
| ~ aSubsetOf0(W0_3641,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_8414,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_911]) ).
tff(c_108950,plain,
! [W0_3284,W1_3285] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_3284),sdtlpdtrp0(xN,W1_3285))
| ~ sdtlseqdt0(W1_3285,W0_3284)
| ~ aElementOf0(W1_3285,szNzAzT0)
| ~ aElementOf0(W0_3284,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_8400,plain,
! [W0_581] :
( aSet0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_72683,plain,
! [W0_1991] :
( aElementOf0(szmzizndt0(W0_1991),W0_1991)
| ( slcrc0 = W0_1991 )
| ~ aSubsetOf0(W0_1991,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_8510,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_71675,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8510]) ).
tff(c_8506,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_71309,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8506]) ).
tff(c_8426,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_70533,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8426]) ).
tff(c_8482,plain,
! [W0_590] :
( aElementOf0('#skF_38',sdtlpdtrp0(xN,xm))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_590)
| ~ aElementOf0(W0_590,sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_8646,plain,
aElementOf0('#skF_38',sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8482]) ).
tff(c_8688,plain,
! [W1_610,W0_611] :
( aElement0(W1_610)
| ~ aElementOf0(W1_610,W0_611)
| ~ aSet0(W0_611) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_8713,plain,
( aElement0('#skF_38')
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_8646,c_8688]) ).
tff(c_8762,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8713]) ).
tff(c_8765,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_8762]) ).
tff(c_8769,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_8765]) ).
tff(c_8771,plain,
aSet0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8713]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_8416,plain,
sdtlseqdt0(szszuzczcdt0(xn),xm),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_40659,plain,
! [W1_1365,W0_1366] :
( ( W1_1365 = W0_1366 )
| ~ sdtlseqdt0(W1_1365,W0_1366)
| ~ sdtlseqdt0(W0_1366,W1_1365)
| ~ aElementOf0(W1_1365,szNzAzT0)
| ~ aElementOf0(W0_1366,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_40707,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_40659]) ).
tff(c_40772,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_40707]) ).
tff(c_41209,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_40772]) ).
tff(c_41212,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_41209]) ).
tff(c_41216,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_41212]) ).
tff(c_41218,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_40772]) ).
tff(c_8636,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8510]) ).
tff(c_10386,plain,
! [W2_726,W0_727,W1_728] :
( aElementOf0(W2_726,W0_727)
| ~ aElementOf0(W2_726,W1_728)
| ~ aSubsetOf0(W1_728,W0_727)
| ~ aSet0(W0_727) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_10447,plain,
! [W0_727] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_727)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),W0_727)
| ~ aSet0(W0_727) ),
inference(resolution,[status(thm)],[c_8636,c_10386]) ).
tff(c_50285,plain,
! [W2_1587,W1_1588,W0_1589] :
( aElementOf0(W2_1587,sdtlpdtrp0(xN,W1_1588))
| ~ aElementOf0(W2_1587,sdtlpdtrp0(xN,W0_1589))
| ~ sdtlseqdt0(W1_1588,W0_1589)
| ~ aElementOf0(W1_1588,szNzAzT0)
| ~ aElementOf0(W0_1589,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_53730,plain,
! [W1_1640,W0_1641] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,W1_1640))
| ~ sdtlseqdt0(W1_1640,W0_1641)
| ~ aElementOf0(W1_1640,szNzAzT0)
| ~ aElementOf0(W0_1641,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,W0_1641))
| ~ aSet0(sdtlpdtrp0(xN,W0_1641)) ),
inference(resolution,[status(thm)],[c_10447,c_50285]) ).
tff(c_53802,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_8416,c_53730]) ).
tff(c_53892,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8771,c_8412,c_41218,c_53802]) ).
tff(c_54388,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_53892]) ).
tff(c_54394,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(resolution,[status(thm)],[c_34,c_54388]) ).
tff(c_54401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8771,c_54394]) ).
tff(c_54402,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_53892]) ).
tff(c_8394,plain,
! [W0_581] :
( isCountable0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_6,plain,
! [W1_5,W0_3] :
( aElement0(W1_5)
| ~ aElementOf0(W1_5,W0_3)
| ~ aSet0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_9026,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,xm)))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_8636,c_6]) ).
tff(c_9029,plain,
aElement0(szmzizndt0(sdtlpdtrp0(xN,xm))),
inference(demodulation,[status(thm),theory(equality)],[c_8771,c_9026]) ).
tff(c_134,plain,
! [W0_84] :
( sdtlseqdt0(W0_84,szszuzczcdt0(W0_84))
| ~ aElementOf0(W0_84,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_269]) ).
tff(c_15581,plain,
! [W1_890,W0_891] :
( ( W1_890 = W0_891 )
| ~ sdtlseqdt0(W1_890,W0_891)
| ~ sdtlseqdt0(W0_891,W1_890)
| ~ aElementOf0(W1_890,szNzAzT0)
| ~ aElementOf0(W0_891,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_15631,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_15581]) ).
tff(c_15697,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_15631]) ).
tff(c_15705,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_15697]) ).
tff(c_15708,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_15705]) ).
tff(c_15712,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_15708]) ).
tff(c_15714,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_15697]) ).
tff(c_21052,plain,
! [W0_1027,W2_1028,W1_1029] :
( sdtlseqdt0(W0_1027,W2_1028)
| ~ sdtlseqdt0(W1_1029,W2_1028)
| ~ sdtlseqdt0(W0_1027,W1_1029)
| ~ aElementOf0(W2_1028,szNzAzT0)
| ~ aElementOf0(W1_1029,szNzAzT0)
| ~ aElementOf0(W0_1027,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_21108,plain,
! [W0_1027] :
( sdtlseqdt0(W0_1027,xm)
| ~ sdtlseqdt0(W0_1027,szszuzczcdt0(xn))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(W0_1027,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_21052]) ).
tff(c_21308,plain,
! [W0_1033] :
( sdtlseqdt0(W0_1033,xm)
| ~ sdtlseqdt0(W0_1033,szszuzczcdt0(xn))
| ~ aElementOf0(W0_1033,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_15714,c_8412,c_21108]) ).
tff(c_21342,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_21308]) ).
tff(c_21372,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_21342]) ).
tff(c_24313,plain,
! [W2_1081,W1_1082,W0_1083] :
( aElementOf0(W2_1081,sdtlpdtrp0(xN,W1_1082))
| ~ aElementOf0(W2_1081,sdtlpdtrp0(xN,W0_1083))
| ~ sdtlseqdt0(W1_1082,W0_1083)
| ~ aElementOf0(W1_1082,szNzAzT0)
| ~ aElementOf0(W0_1083,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_24382,plain,
! [W1_1082] :
( aElementOf0('#skF_38',sdtlpdtrp0(xN,W1_1082))
| ~ sdtlseqdt0(W1_1082,xm)
| ~ aElementOf0(W1_1082,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8646,c_24313]) ).
tff(c_24414,plain,
! [W1_1082] :
( aElementOf0('#skF_38',sdtlpdtrp0(xN,W1_1082))
| ~ sdtlseqdt0(W1_1082,xm)
| ~ aElementOf0(W1_1082,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_24382]) ).
tff(c_344,plain,
aSet0(xS),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_126,plain,
! [W0_80] :
( sdtlseqdt0(sz00,W0_80)
| ~ aElementOf0(W0_80,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_110,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_8322,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_17401,plain,
! [W0_927,W1_928] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_927),sdtlpdtrp0(xN,W1_928))
| ~ sdtlseqdt0(W1_928,W0_927)
| ~ aElementOf0(W1_928,szNzAzT0)
| ~ aElementOf0(W0_927,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_17427,plain,
! [W0_927] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_927),xS)
| ~ sdtlseqdt0(sz00,W0_927)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_927,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_17401]) ).
tff(c_17663,plain,
! [W0_933] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_933),xS)
| ~ sdtlseqdt0(sz00,W0_933)
| ~ aElementOf0(W0_933,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_17427]) ).
tff(c_8466,plain,
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_8863,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_8466]) ).
tff(c_15198,plain,
! [W0_883] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_883)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_883)
| ~ aSet0(W0_883) ),
inference(resolution,[status(thm)],[c_8863,c_10386]) ).
tff(c_366,plain,
! [W1_329,W0_326] :
( aElementOf0(W1_329,xS)
| ~ aElementOf0(W1_329,W0_326)
| ~ aElementOf0(W0_326,szDzozmdt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_15368,plain,
! [W0_883] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xS)
| ~ aElementOf0(W0_883,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_883)
| ~ aSet0(W0_883) ),
inference(resolution,[status(thm)],[c_15198,c_366]) ).
tff(c_15946,plain,
! [W0_883] :
( ~ aElementOf0(W0_883,szDzozmdt0(xc))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_883)
| ~ aSet0(W0_883) ),
inference(splitLeft,[status(thm)],[c_15368]) ).
tff(c_17676,plain,
( ~ aElementOf0(xS,szDzozmdt0(xc))
| ~ aSet0(xS)
| ~ sdtlseqdt0(sz00,xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_17663,c_15946]) ).
tff(c_17710,plain,
( ~ aElementOf0(xS,szDzozmdt0(xc))
| ~ sdtlseqdt0(sz00,xn) ),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_344,c_17676]) ).
tff(c_17855,plain,
~ sdtlseqdt0(sz00,xn),
inference(splitLeft,[status(thm)],[c_17710]) ).
tff(c_17859,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_126,c_17855]) ).
tff(c_17863,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_17859]) ).
tff(c_17865,plain,
sdtlseqdt0(sz00,xn),
inference(splitRight,[status(thm)],[c_17710]) ).
tff(c_17442,plain,
! [W0_927] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_927),xS)
| ~ sdtlseqdt0(sz00,W0_927)
| ~ aElementOf0(W0_927,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_17427]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_10988,plain,
! [W0_744,W1_745] :
( aElementOf0('#skF_2'(W0_744,W1_745),W1_745)
| aSubsetOf0(W1_745,W0_744)
| ~ aSet0(W1_745)
| ~ aSet0(W0_744) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_11075,plain,
! [W0_744] :
( aSubsetOf0(slcrc0,W0_744)
| ~ aSet0(slcrc0)
| ~ aSet0(W0_744) ),
inference(resolution,[status(thm)],[c_10988,c_12]) ).
tff(c_11126,plain,
! [W0_744] :
( aSubsetOf0(slcrc0,W0_744)
| ~ aSet0(W0_744) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_11075]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_8520,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_16,plain,
isFinite0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_11769,plain,
! [W1_765,W0_766] :
( sdtlseqdt0(sbrdtbr0(W1_765),sbrdtbr0(W0_766))
| ~ aSubsetOf0(W1_765,W0_766)
| ~ isFinite0(W0_766)
| ~ aSet0(W0_766) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_11787,plain,
! [W1_765] :
( sdtlseqdt0(sbrdtbr0(W1_765),sz00)
| ~ aSubsetOf0(W1_765,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_8520,c_11769]) ).
tff(c_11792,plain,
! [W1_767] :
( sdtlseqdt0(sbrdtbr0(W1_767),sz00)
| ~ aSubsetOf0(W1_767,slcrc0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_11787]) ).
tff(c_11801,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_8520,c_11792]) ).
tff(c_11805,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(splitLeft,[status(thm)],[c_11801]) ).
tff(c_11808,plain,
~ aSet0(slcrc0),
inference(resolution,[status(thm)],[c_11126,c_11805]) ).
tff(c_11815,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_11808]) ).
tff(c_11816,plain,
sdtlseqdt0(sz00,sz00),
inference(splitRight,[status(thm)],[c_11801]) ).
tff(c_17697,plain,
( aSubsetOf0(xS,xS)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_17663]) ).
tff(c_17726,plain,
aSubsetOf0(xS,xS),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_11816,c_17697]) ).
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_15343,plain,
! [W0_14,W0_883] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_14)
| ~ aSubsetOf0(W0_883,W0_14)
| ~ aSet0(W0_14)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_883)
| ~ aSet0(W0_883) ),
inference(resolution,[status(thm)],[c_15198,c_24]) ).
tff(c_17732,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_17726,c_15343]) ).
tff(c_17760,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_17732]) ).
tff(c_18780,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),xS),
inference(splitLeft,[status(thm)],[c_17760]) ).
tff(c_18783,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_17442,c_18780]) ).
tff(c_18790,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_17865,c_18783]) ).
tff(c_18792,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),xS),
inference(splitRight,[status(thm)],[c_17760]) ).
tff(c_26,plain,
! [W1_20,W0_14] :
( aSet0(W1_20)
| ~ aSubsetOf0(W1_20,W0_14)
| ~ aSet0(W0_14) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_18851,plain,
( aSet0(sdtlpdtrp0(xN,xn))
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_18792,c_26]) ).
tff(c_18875,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_18851]) ).
tff(c_8770,plain,
aElement0('#skF_38'),
inference(splitRight,[status(thm)],[c_8713]) ).
tff(c_17792,plain,
! [W3_934,W0_935,W1_936] :
( aElementOf0(W3_934,sdtmndt0(W0_935,W1_936))
| ( W3_934 = W1_936 )
| ~ aElementOf0(W3_934,W0_935)
| ~ aElement0(W3_934)
| ~ aElement0(W1_936)
| ~ aSet0(W0_935) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_9020,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8426]) ).
tff(c_8480,plain,
! [W0_590] :
( ~ aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_590)
| ~ aElementOf0(W0_590,sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_10965,plain,
! [W0_590] :
( ~ aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_590)
| ~ aElementOf0(W0_590,sdtlpdtrp0(xN,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9020,c_8480]) ).
tff(c_10966,plain,
~ aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm)))),
inference(splitLeft,[status(thm)],[c_10965]) ).
tff(c_17798,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = '#skF_38' )
| ~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn))
| ~ aElement0('#skF_38')
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xm)))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_17792,c_10966]) ).
tff(c_17823,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = '#skF_38' )
| ~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9029,c_8770,c_17798]) ).
tff(c_30681,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = '#skF_38' )
| ~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_17823]) ).
tff(c_30682,plain,
~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_30681]) ).
tff(c_30691,plain,
( ~ sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_24414,c_30682]) ).
tff(c_30695,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_21372,c_30691]) ).
tff(c_30696,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) = '#skF_38',
inference(splitRight,[status(thm)],[c_30681]) ).
tff(c_30852,plain,
~ aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),'#skF_38')),
inference(demodulation,[status(thm),theory(equality)],[c_30696,c_10966]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_340,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_16427,plain,
! [W0_908,W2_909,W1_910] :
( aSubsetOf0(W0_908,W2_909)
| ~ aSubsetOf0(W1_910,W2_909)
| ~ aSubsetOf0(W0_908,W1_910)
| ~ aSet0(W2_909)
| ~ aSet0(W1_910)
| ~ aSet0(W0_908) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_16469,plain,
! [W0_908] :
( aSubsetOf0(W0_908,szNzAzT0)
| ~ aSubsetOf0(W0_908,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(W0_908) ),
inference(resolution,[status(thm)],[c_340,c_16427]) ).
tff(c_16524,plain,
! [W0_908] :
( aSubsetOf0(W0_908,szNzAzT0)
| ~ aSubsetOf0(W0_908,xS)
| ~ aSet0(W0_908) ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_108,c_16469]) ).
tff(c_18858,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_18792,c_16524]) ).
tff(c_18903,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_18875,c_18858]) ).
tff(c_30857,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = '#skF_38',
inference(demodulation,[status(thm),theory(equality)],[c_30696,c_9020]) ).
tff(c_35470,plain,
! [W0_1233,W1_1234] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1233),szNzAzT0)
| aElement0(W1_1234)
| ~ aElementOf0(W1_1234,sdtmndt0(sdtlpdtrp0(xN,W0_1233),szmzizndt0(sdtlpdtrp0(xN,W0_1233))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1233))
| ~ aElementOf0(W0_1233,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_35509,plain,
! [W1_1234] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| aElement0(W1_1234)
| ~ aElementOf0(W1_1234,sdtmndt0(sdtlpdtrp0(xN,xn),'#skF_38'))
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_30857,c_35470]) ).
tff(c_35655,plain,
! [W1_1234] :
( aElement0(W1_1234)
| ~ aElementOf0(W1_1234,sdtmndt0(sdtlpdtrp0(xN,xn),'#skF_38'))
| ~ isCountable0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_18903,c_35509]) ).
tff(c_36204,plain,
~ isCountable0(sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_35655]) ).
tff(c_36207,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8394,c_36204]) ).
tff(c_36211,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_36207]) ).
tff(c_36213,plain,
isCountable0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_35655]) ).
tff(c_8486,plain,
! [W0_590] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_590)
| ~ aElementOf0(W0_590,sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_9668,plain,
! [W0_590] :
( aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm))))
| sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_590)
| ~ aElementOf0(W0_590,sdtlpdtrp0(xN,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9020,c_8486]) ).
tff(c_9669,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm)))),
inference(splitLeft,[status(thm)],[c_9668]) ).
tff(c_30856,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),'#skF_38')),
inference(demodulation,[status(thm),theory(equality)],[c_30696,c_9669]) ).
tff(c_37154,plain,
! [W0_1251] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1251),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0_1251)),sdtmndt0(sdtlpdtrp0(xN,W0_1251),szmzizndt0(sdtlpdtrp0(xN,W0_1251))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1251))
| ~ aElementOf0(W0_1251,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_26438,plain,
! [W1_1121,W0_1122] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,W1_1121))
| ~ sdtlseqdt0(W1_1121,W0_1122)
| ~ aElementOf0(W1_1121,szNzAzT0)
| ~ aElementOf0(W0_1122,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,W0_1122))
| ~ aSet0(sdtlpdtrp0(xN,W0_1122)) ),
inference(resolution,[status(thm)],[c_10447,c_24313]) ).
tff(c_26512,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_8416,c_26438]) ).
tff(c_26605,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8771,c_8412,c_15714,c_26512]) ).
tff(c_27115,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_26605]) ).
tff(c_27121,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(resolution,[status(thm)],[c_34,c_27115]) ).
tff(c_27128,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8771,c_27121]) ).
tff(c_27129,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_26605]) ).
tff(c_30818,plain,
aElementOf0('#skF_38',sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(demodulation,[status(thm),theory(equality)],[c_30696,c_27129]) ).
tff(c_30966,plain,
! [W0_14] :
( aElementOf0('#skF_38',W0_14)
| ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_30818,c_24]) ).
tff(c_37158,plain,
( aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_37154,c_30966]) ).
tff(c_37207,plain,
aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),'#skF_38')),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_36213,c_18903,c_30856,c_30857,c_30857,c_37158]) ).
tff(c_37209,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_30852,c_37207]) ).
tff(c_37211,plain,
aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm)))),
inference(splitRight,[status(thm)],[c_10965]) ).
tff(c_38081,plain,
! [W3_1281,W0_1282,W1_1283] :
( aElementOf0(W3_1281,W0_1282)
| ~ aElementOf0(W3_1281,sdtmndt0(W0_1282,W1_1283))
| ~ aElement0(W1_1283)
| ~ aSet0(W0_1282) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_38088,plain,
( aElementOf0('#skF_38',sdtlpdtrp0(xN,xn))
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xm)))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_37211,c_38081]) ).
tff(c_38112,plain,
( aElementOf0('#skF_38',sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9029,c_38088]) ).
tff(c_38119,plain,
~ aSet0(sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_38112]) ).
tff(c_38122,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_38119]) ).
tff(c_38126,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_38122]) ).
tff(c_38128,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_38112]) ).
tff(c_43665,plain,
! [W0_1423,W1_1424] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_1423),sdtlpdtrp0(xN,W1_1424))
| ~ sdtlseqdt0(W1_1424,W0_1423)
| ~ aElementOf0(W1_1424,szNzAzT0)
| ~ aElementOf0(W0_1423,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_43691,plain,
! [W0_1423] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_1423),xS)
| ~ sdtlseqdt0(sz00,W0_1423)
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aElementOf0(W0_1423,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_43665]) ).
tff(c_43706,plain,
! [W0_1423] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_1423),xS)
| ~ sdtlseqdt0(sz00,W0_1423)
| ~ aElementOf0(W0_1423,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_43691]) ).
tff(c_37412,plain,
! [W1_1261,W0_1262] :
( sdtlseqdt0(sbrdtbr0(W1_1261),sbrdtbr0(W0_1262))
| ~ aSubsetOf0(W1_1261,W0_1262)
| ~ isFinite0(W0_1262)
| ~ aSet0(W0_1262) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_37436,plain,
! [W1_1261] :
( sdtlseqdt0(sbrdtbr0(W1_1261),sz00)
| ~ aSubsetOf0(W1_1261,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_8520,c_37412]) ).
tff(c_37441,plain,
! [W1_1263] :
( sdtlseqdt0(sbrdtbr0(W1_1263),sz00)
| ~ aSubsetOf0(W1_1263,slcrc0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_37436]) ).
tff(c_37453,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_8520,c_37441]) ).
tff(c_37456,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(splitLeft,[status(thm)],[c_37453]) ).
tff(c_37462,plain,
~ aSet0(slcrc0),
inference(resolution,[status(thm)],[c_34,c_37456]) ).
tff(c_37466,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_37462]) ).
tff(c_37467,plain,
sdtlseqdt0(sz00,sz00),
inference(splitRight,[status(thm)],[c_37453]) ).
tff(c_43965,plain,
! [W0_1429] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_1429),xS)
| ~ sdtlseqdt0(sz00,W0_1429)
| ~ aElementOf0(W0_1429,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_43691]) ).
tff(c_43997,plain,
( aSubsetOf0(xS,xS)
| ~ sdtlseqdt0(sz00,sz00)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_43965]) ).
tff(c_44023,plain,
aSubsetOf0(xS,xS),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_37467,c_43997]) ).
tff(c_42098,plain,
! [W0_1391] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_1391)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_1391)
| ~ aSet0(W0_1391) ),
inference(resolution,[status(thm)],[c_8863,c_10386]) ).
tff(c_42250,plain,
! [W0_14,W0_1391] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_14)
| ~ aSubsetOf0(W0_1391,W0_14)
| ~ aSet0(W0_14)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),W0_1391)
| ~ aSet0(W0_1391) ),
inference(resolution,[status(thm)],[c_42098,c_24]) ).
tff(c_44027,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_44023,c_42250]) ).
tff(c_44052,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),xS)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_44027]) ).
tff(c_45082,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),xS),
inference(splitLeft,[status(thm)],[c_44052]) ).
tff(c_45085,plain,
( ~ sdtlseqdt0(sz00,xn)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_43706,c_45082]) ).
tff(c_45091,plain,
~ sdtlseqdt0(sz00,xn),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_45085]) ).
tff(c_45097,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_126,c_45091]) ).
tff(c_45101,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_45097]) ).
tff(c_45103,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),xS),
inference(splitRight,[status(thm)],[c_44052]) ).
tff(c_42529,plain,
! [W0_1398,W2_1399,W1_1400] :
( aSubsetOf0(W0_1398,W2_1399)
| ~ aSubsetOf0(W1_1400,W2_1399)
| ~ aSubsetOf0(W0_1398,W1_1400)
| ~ aSet0(W2_1399)
| ~ aSet0(W1_1400)
| ~ aSet0(W0_1398) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_42565,plain,
! [W0_1398] :
( aSubsetOf0(W0_1398,szNzAzT0)
| ~ aSubsetOf0(W0_1398,xS)
| ~ aSet0(szNzAzT0)
| ~ aSet0(xS)
| ~ aSet0(W0_1398) ),
inference(resolution,[status(thm)],[c_340,c_42529]) ).
tff(c_42611,plain,
! [W0_1398] :
( aSubsetOf0(W0_1398,szNzAzT0)
| ~ aSubsetOf0(W0_1398,xS)
| ~ aSet0(W0_1398) ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_108,c_42565]) ).
tff(c_45113,plain,
( aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_45103,c_42611]) ).
tff(c_45144,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_38128,c_45113]) ).
tff(c_62012,plain,
! [W0_1746,W1_1747] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1746),szNzAzT0)
| aElement0(W1_1747)
| ~ aElementOf0(W1_1747,sdtmndt0(sdtlpdtrp0(xN,W0_1746),szmzizndt0(sdtlpdtrp0(xN,W0_1746))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1746))
| ~ aElementOf0(W0_1746,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_62171,plain,
! [W1_1747] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| aElement0(W1_1747)
| ~ aElementOf0(W1_1747,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm))))
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9020,c_62012]) ).
tff(c_62236,plain,
! [W1_1747] :
( aElement0(W1_1747)
| ~ aElementOf0(W1_1747,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm))))
| ~ isCountable0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_45144,c_62171]) ).
tff(c_62269,plain,
~ isCountable0(sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_62236]) ).
tff(c_62272,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8394,c_62269]) ).
tff(c_62276,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_62272]) ).
tff(c_62278,plain,
isCountable0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_62236]) ).
tff(c_69647,plain,
! [W0_1816,W1_1817] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1816),szNzAzT0)
| aElementOf0(W1_1817,sdtmndt0(sdtlpdtrp0(xN,W0_1816),szmzizndt0(sdtlpdtrp0(xN,W0_1816))))
| ~ aElementOf0(W1_1817,sdtlpdtrp0(xN,szszuzczcdt0(W0_1816)))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1816))
| ~ aElementOf0(W0_1816,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_69724,plain,
! [W1_1817] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| aElementOf0(W1_1817,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm))))
| ~ aElementOf0(W1_1817,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9020,c_69647]) ).
tff(c_70365,plain,
! [W1_1821] :
( aElementOf0(W1_1821,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm))))
| ~ aElementOf0(W1_1821,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_62278,c_45144,c_69724]) ).
tff(c_64750,plain,
! [W0_1766] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_1766),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0_1766)),sdtmndt0(sdtlpdtrp0(xN,W0_1766),szmzizndt0(sdtlpdtrp0(xN,W0_1766))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_1766))
| ~ aElementOf0(W0_1766,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_64790,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9020,c_64750]) ).
tff(c_64824,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xm)))),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_62278,c_9020,c_45144,c_64790]) ).
tff(c_70378,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(resolution,[status(thm)],[c_70365,c_64824]) ).
tff(c_70434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_54402,c_70378]) ).
tff(c_70436,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8426]) ).
tff(c_8430,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_8735,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8430]) ).
tff(c_70447,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70436,c_8735]) ).
tff(c_70449,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8430]) ).
tff(c_70754,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70533,c_70449]) ).
tff(c_70756,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8426]) ).
tff(c_8422,plain,
( aElementOf0('#skF_38',sdtlpdtrp0(xN,xm))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_8530,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8422]) ).
tff(c_70971,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_70756,c_8530]) ).
tff(c_70973,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8510]) ).
tff(c_71376,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71309,c_70973]) ).
tff(c_71378,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8506]) ).
tff(c_8502,plain,
( aElementOf0('#skF_38',sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_8575,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8502]) ).
tff(c_71436,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_71378,c_8575]) ).
tff(c_71438,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8502]) ).
tff(c_71984,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_71675,c_71438]) ).
tff(c_71986,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8510]) ).
tff(c_72733,plain,
( ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(resolution,[status(thm)],[c_72683,c_71986]) ).
tff(c_72918,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_72733]) ).
tff(c_72921,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_8396,c_72918]) ).
tff(c_72925,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_72921]) ).
tff(c_72926,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(splitRight,[status(thm)],[c_72733]) ).
tff(c_71437,plain,
aElementOf0('#skF_38',sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8502]) ).
tff(c_72945,plain,
aElementOf0('#skF_38',slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_72926,c_71437]) ).
tff(c_72948,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_72945]) ).
tff(c_72950,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8422]) ).
tff(c_98968,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8430]) ).
tff(c_99350,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72950,c_98968]) ).
tff(c_99351,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_8430]) ).
tff(c_100169,plain,
( aElement0(szmzizndt0(sdtlpdtrp0(xN,xn)))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_99351,c_6]) ).
tff(c_100636,plain,
~ aSet0(sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_100169]) ).
tff(c_100639,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_100636]) ).
tff(c_100643,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_100639]) ).
tff(c_100645,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_100169]) ).
tff(c_72951,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8502]) ).
tff(c_101137,plain,
! [W2_3054,W0_3055,W1_3056] :
( aElementOf0(W2_3054,W0_3055)
| ~ aElementOf0(W2_3054,W1_3056)
| ~ aSubsetOf0(W1_3056,W0_3055)
| ~ aSet0(W0_3055) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_105872,plain,
! [W0_3218] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_3218)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),W0_3218)
| ~ aSet0(W0_3218) ),
inference(resolution,[status(thm)],[c_72951,c_101137]) ).
tff(c_99861,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_8466]) ).
tff(c_8470,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),sdtlpdtrp0(xN,xn))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_97620,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_8470]) ).
tff(c_76577,plain,
! [W1_2231,W0_2232] :
( sdtlseqdt0(sbrdtbr0(W1_2231),sbrdtbr0(W0_2232))
| ~ aSubsetOf0(W1_2231,W0_2232)
| ~ isFinite0(W0_2232)
| ~ aSet0(W0_2232) ),
inference(cnfTransformation,[status(thm)],[f_360]) ).
tff(c_76607,plain,
! [W1_2231] :
( sdtlseqdt0(sbrdtbr0(W1_2231),sz00)
| ~ aSubsetOf0(W1_2231,slcrc0)
| ~ isFinite0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_8520,c_76577]) ).
tff(c_76614,plain,
! [W1_2233] :
( sdtlseqdt0(sbrdtbr0(W1_2233),sz00)
| ~ aSubsetOf0(W1_2233,slcrc0) ),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_16,c_76607]) ).
tff(c_76629,plain,
( sdtlseqdt0(sz00,sz00)
| ~ aSubsetOf0(slcrc0,slcrc0) ),
inference(superposition,[status(thm),theory(equality)],[c_8520,c_76614]) ).
tff(c_76633,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(splitLeft,[status(thm)],[c_76629]) ).
tff(c_76636,plain,
~ aSet0(slcrc0),
inference(resolution,[status(thm)],[c_34,c_76633]) ).
tff(c_76640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_76636]) ).
tff(c_76642,plain,
aSubsetOf0(slcrc0,slcrc0),
inference(splitRight,[status(thm)],[c_76629]) ).
tff(c_72949,plain,
aElementOf0('#skF_38',sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8422]) ).
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_82226,plain,
! [W1_2378,W0_2379] :
( ( W1_2378 = W0_2379 )
| ~ sdtlseqdt0(W1_2378,W0_2379)
| ~ sdtlseqdt0(W0_2379,W1_2378)
| ~ aElementOf0(W1_2378,szNzAzT0)
| ~ aElementOf0(W0_2379,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_82274,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_82226]) ).
tff(c_82337,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_82274]) ).
tff(c_82408,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_82337]) ).
tff(c_82411,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_82408]) ).
tff(c_82415,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_82411]) ).
tff(c_82417,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_82337]) ).
tff(c_90517,plain,
! [W0_2547,W2_2548,W1_2549] :
( sdtlseqdt0(W0_2547,W2_2548)
| ~ sdtlseqdt0(W1_2549,W2_2548)
| ~ sdtlseqdt0(W0_2547,W1_2549)
| ~ aElementOf0(W2_2548,szNzAzT0)
| ~ aElementOf0(W1_2549,szNzAzT0)
| ~ aElementOf0(W0_2547,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_90571,plain,
! [W0_2547] :
( sdtlseqdt0(W0_2547,xm)
| ~ sdtlseqdt0(W0_2547,szszuzczcdt0(xn))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(W0_2547,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_90517]) ).
tff(c_90771,plain,
! [W0_2553] :
( sdtlseqdt0(W0_2553,xm)
| ~ sdtlseqdt0(W0_2553,szszuzczcdt0(xn))
| ~ aElementOf0(W0_2553,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_82417,c_8412,c_90571]) ).
tff(c_90801,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_90771]) ).
tff(c_90828,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_90801]) ).
tff(c_91179,plain,
! [W2_2560,W1_2561,W0_2562] :
( aElementOf0(W2_2560,sdtlpdtrp0(xN,W1_2561))
| ~ aElementOf0(W2_2560,sdtlpdtrp0(xN,W0_2562))
| ~ sdtlseqdt0(W1_2561,W0_2562)
| ~ aElementOf0(W1_2561,szNzAzT0)
| ~ aElementOf0(W0_2562,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_91252,plain,
! [W1_2561] :
( aElementOf0('#skF_38',sdtlpdtrp0(xN,W1_2561))
| ~ sdtlseqdt0(W1_2561,xm)
| ~ aElementOf0(W1_2561,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_72949,c_91179]) ).
tff(c_91293,plain,
! [W1_2563] :
( aElementOf0('#skF_38',sdtlpdtrp0(xN,W1_2563))
| ~ sdtlseqdt0(W1_2563,xm)
| ~ aElementOf0(W1_2563,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_91252]) ).
tff(c_73663,plain,
! [W1_2065,W0_2066] :
( aElement0(W1_2065)
| ~ aElementOf0(W1_2065,W0_2066)
| ~ aSet0(W0_2066) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_73688,plain,
( aElement0('#skF_38')
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_72949,c_73663]) ).
tff(c_73731,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_73688]) ).
tff(c_73734,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_73731]) ).
tff(c_73738,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_73734]) ).
tff(c_73739,plain,
aElement0('#skF_38'),
inference(splitRight,[status(thm)],[c_73688]) ).
tff(c_73248,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8426]) ).
tff(c_73450,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_72950,c_73248]) ).
tff(c_73452,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8426]) ).
tff(c_73129,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8430]) ).
tff(c_73659,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_73452,c_73129]) ).
tff(c_73661,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) != szmzizndt0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8430]) ).
tff(c_8424,plain,
! [W0_589] :
( aElementOf0(W0_589,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = W0_589 )
| ~ aElementOf0(W0_589,sdtlpdtrp0(xN,xn))
| ~ aElement0(W0_589)
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_79746,plain,
! [W0_2327] :
( aElementOf0(W0_2327,sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = W0_2327 )
| ~ aElementOf0(W0_2327,sdtlpdtrp0(xN,xn))
| ~ aElement0(W0_2327) ),
inference(negUnitSimplification,[status(thm)],[c_73661,c_8424]) ).
tff(c_8420,plain,
( ~ aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_74024,plain,
~ aElementOf0('#skF_38',sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn)))),
inference(negUnitSimplification,[status(thm)],[c_73661,c_8420]) ).
tff(c_79776,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xn)) = '#skF_38' )
| ~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn))
| ~ aElement0('#skF_38') ),
inference(resolution,[status(thm)],[c_79746,c_74024]) ).
tff(c_79803,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xn)) = '#skF_38' )
| ~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_73739,c_79776]) ).
tff(c_79855,plain,
~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_79803]) ).
tff(c_91298,plain,
( ~ sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_91293,c_79855]) ).
tff(c_91316,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_90828,c_91298]) ).
tff(c_91317,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = '#skF_38',
inference(splitRight,[status(thm)],[c_79803]) ).
tff(c_91334,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) != '#skF_38',
inference(demodulation,[status(thm),theory(equality)],[c_91317,c_73661]) ).
tff(c_73782,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8506]) ).
tff(c_74867,plain,
! [W1_2153,W0_2154] :
( aElementOf0(W1_2153,szNzAzT0)
| ~ aElementOf0(W1_2153,sdtlpdtrp0(xN,W0_2154))
| ~ aElementOf0(W0_2154,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_74877,plain,
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_73782,c_74867]) ).
tff(c_74897,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_74877]) ).
tff(c_74887,plain,
( aElementOf0('#skF_38',szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_72949,c_74867]) ).
tff(c_74904,plain,
aElementOf0('#skF_38',szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_74887]) ).
tff(c_73044,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_8470]) ).
tff(c_8428,plain,
! [W0_588] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0_588)
| ~ aElementOf0(W0_588,sdtlpdtrp0(xN,xn))
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = szmzizndt0(sdtlpdtrp0(xN,xm)) ) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_74261,plain,
! [W0_588] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0_588)
| ~ aElementOf0(W0_588,sdtlpdtrp0(xN,xn)) ),
inference(negUnitSimplification,[status(thm)],[c_73661,c_8428]) ).
tff(c_93513,plain,
! [W0_2605] :
( sdtlseqdt0('#skF_38',W0_2605)
| ~ aElementOf0(W0_2605,sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_91317,c_74261]) ).
tff(c_93564,plain,
sdtlseqdt0('#skF_38',szmzizndt0(sdtlpdtrp0(xN,xm))),
inference(resolution,[status(thm)],[c_73044,c_93513]) ).
tff(c_95131,plain,
! [W1_2637,W0_2638] :
( ( W1_2637 = W0_2638 )
| ~ sdtlseqdt0(W1_2637,W0_2638)
| ~ sdtlseqdt0(W0_2638,W1_2637)
| ~ aElementOf0(W1_2637,szNzAzT0)
| ~ aElementOf0(W0_2638,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_95143,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = '#skF_38' )
| ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),'#skF_38')
| ~ aElementOf0('#skF_38',szNzAzT0)
| ~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_93564,c_95131]) ).
tff(c_95192,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = '#skF_38' )
| ~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),'#skF_38') ),
inference(demodulation,[status(thm),theory(equality)],[c_74897,c_74904,c_95143]) ).
tff(c_95193,plain,
~ sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xm)),'#skF_38'),
inference(negUnitSimplification,[status(thm)],[c_91334,c_95192]) ).
tff(c_95245,plain,
( ~ aElementOf0('#skF_38',sdtlpdtrp0(xN,xm))
| ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(resolution,[status(thm)],[c_168,c_95193]) ).
tff(c_95248,plain,
( ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_72949,c_95245]) ).
tff(c_95654,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_95248]) ).
tff(c_95704,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_8396,c_95654]) ).
tff(c_95708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_95704]) ).
tff(c_95709,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(splitRight,[status(thm)],[c_95248]) ).
tff(c_75042,plain,
! [W2_2159,W0_2160,W1_2161] :
( aElementOf0(W2_2159,W0_2160)
| ~ aElementOf0(W2_2159,W1_2161)
| ~ aSubsetOf0(W1_2161,W0_2160)
| ~ aSet0(W0_2160) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_94347,plain,
! [W0_2630] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),W0_2630)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),W0_2630)
| ~ aSet0(W0_2630) ),
inference(resolution,[status(thm)],[c_73782,c_75042]) ).
tff(c_94481,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),slcrc0)
| ~ aSet0(slcrc0) ),
inference(resolution,[status(thm)],[c_94347,c_12]) ).
tff(c_94565,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_94481]) ).
tff(c_95714,plain,
~ aSubsetOf0(slcrc0,slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_95709,c_94565]) ).
tff(c_95736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_76642,c_95714]) ).
tff(c_95738,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8506]) ).
tff(c_96118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_95738,c_72951]) ).
tff(c_96120,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_8470]) ).
tff(c_8462,plain,
( aElementOf0('#skF_38',sdtlpdtrp0(xN,xm))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)) ),
inference(cnfTransformation,[status(thm)],[f_956]) ).
tff(c_72976,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_8462]) ).
tff(c_97613,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_96120,c_72976]) ).
tff(c_97615,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_8462]) ).
tff(c_98877,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_97620,c_97615]) ).
tff(c_98879,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_8470]) ).
tff(c_100060,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_99861,c_98879]) ).
tff(c_100062,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_8466]) ).
tff(c_105974,plain,
( ~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_105872,c_100062]) ).
tff(c_106067,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_100645,c_105974]) ).
tff(c_108955,plain,
( ~ sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_108950,c_106067]) ).
tff(c_108977,plain,
~ sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_8414,c_108955]) ).
tff(c_107221,plain,
! [W1_3250,W0_3251] :
( ( W1_3250 = W0_3251 )
| ~ sdtlseqdt0(W1_3250,W0_3251)
| ~ sdtlseqdt0(W0_3251,W1_3250)
| ~ aElementOf0(W1_3250,szNzAzT0)
| ~ aElementOf0(W0_3251,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_107269,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(xm,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_107221]) ).
tff(c_107332,plain,
( ( szszuzczcdt0(xn) = xm )
| ~ sdtlseqdt0(xm,szszuzczcdt0(xn))
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_107269]) ).
tff(c_107403,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitLeft,[status(thm)],[c_107332]) ).
tff(c_107406,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_107403]) ).
tff(c_107410,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_107406]) ).
tff(c_107412,plain,
aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(splitRight,[status(thm)],[c_107332]) ).
tff(c_115503,plain,
! [W0_3438,W2_3439,W1_3440] :
( sdtlseqdt0(W0_3438,W2_3439)
| ~ sdtlseqdt0(W1_3440,W2_3439)
| ~ sdtlseqdt0(W0_3438,W1_3440)
| ~ aElementOf0(W2_3439,szNzAzT0)
| ~ aElementOf0(W1_3440,szNzAzT0)
| ~ aElementOf0(W0_3438,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_295]) ).
tff(c_115557,plain,
! [W0_3438] :
( sdtlseqdt0(W0_3438,xm)
| ~ sdtlseqdt0(W0_3438,szszuzczcdt0(xn))
| ~ aElementOf0(xm,szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(xn),szNzAzT0)
| ~ aElementOf0(W0_3438,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8416,c_115503]) ).
tff(c_115763,plain,
! [W0_3444] :
( sdtlseqdt0(W0_3444,xm)
| ~ sdtlseqdt0(W0_3444,szszuzczcdt0(xn))
| ~ aElementOf0(W0_3444,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_107412,c_8412,c_115557]) ).
tff(c_115793,plain,
( sdtlseqdt0(xn,xm)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_134,c_115763]) ).
tff(c_115820,plain,
sdtlseqdt0(xn,xm),
inference(demodulation,[status(thm),theory(equality)],[c_8414,c_115793]) ).
tff(c_115822,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_108977,c_115820]) ).
tff(c_115824,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8502]) ).
tff(c_117759,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_8506]) ).
tff(c_117966,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_115824,c_117759]) ).
tff(c_117968,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xm)),sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8506]) ).
tff(c_118417,plain,
( ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(resolution,[status(thm)],[c_118375,c_117968]) ).
tff(c_118581,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_118417]) ).
tff(c_118585,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_8396,c_118581]) ).
tff(c_118589,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_8412,c_118585]) ).
tff(c_118590,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(splitRight,[status(thm)],[c_118417]) ).
tff(c_115823,plain,
aElementOf0('#skF_38',sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_8502]) ).
tff(c_118597,plain,
aElementOf0('#skF_38',slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_118590,c_115823]) ).
tff(c_118600,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_118597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM577+3 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.33 % Computer : n032.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Thu Aug 3 15:19:21 EDT 2023
% 0.13/0.33 % CPUTime :
% 105.16/83.03 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 105.25/83.08
% 105.25/83.08 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 105.45/83.14
% 105.45/83.14 Inference rules
% 105.45/83.14 ----------------------
% 105.45/83.14 #Ref : 5
% 105.45/83.14 #Sup : 20061
% 105.45/83.14 #Fact : 8
% 105.45/83.14 #Define : 0
% 105.45/83.14 #Split : 947
% 105.45/83.14 #Chain : 0
% 105.45/83.14 #Close : 0
% 105.45/83.14
% 105.45/83.14 Ordering : KBO
% 105.45/83.14
% 105.45/83.14 Simplification rules
% 105.45/83.14 ----------------------
% 105.45/83.14 #Subsume : 5245
% 105.45/83.14 #Demod : 19687
% 105.45/83.14 #Tautology : 3971
% 105.45/83.14 #SimpNegUnit : 1142
% 105.45/83.14 #BackRed : 1142
% 105.45/83.14
% 105.45/83.14 #Partial instantiations: 0
% 105.45/83.14 #Strategies tried : 1
% 105.45/83.14
% 105.45/83.14 Timing (in seconds)
% 105.45/83.14 ----------------------
% 105.45/83.14 Preprocessing : 2.14
% 105.45/83.14 Parsing : 0.47
% 105.45/83.14 CNF conversion : 0.16
% 105.45/83.14 Main loop : 79.87
% 105.45/83.14 Inferencing : 4.64
% 105.45/83.14 Reduction : 52.85
% 105.45/83.14 Demodulation : 44.32
% 105.45/83.14 BG Simplification : 0.83
% 105.45/83.14 Subsumption : 16.84
% 105.45/83.14 Abstraction : 0.69
% 105.45/83.14 MUC search : 0.00
% 105.45/83.14 Cooper : 0.00
% 105.45/83.14 Total : 82.13
% 105.45/83.14 Index Insertion : 0.00
% 105.45/83.14 Index Deletion : 0.00
% 105.45/83.14 Index Matching : 0.00
% 105.45/83.14 BG Taut test : 0.00
%------------------------------------------------------------------------------