TSTP Solution File: NUM629+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM629+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/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 : n008.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 10:52:24 EDT 2023
% Result : Theorem 140.70s 116.41s
% Output : CNFRefutation 140.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 124
% Syntax : Number of formulae : 265 ( 71 unt; 97 typ; 4 def)
% Number of atoms : 399 ( 63 equ)
% Maximal formula atoms : 22 ( 2 avg)
% Number of connectives : 388 ( 157 ~; 131 |; 56 &)
% ( 10 <=>; 34 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 154 ( 76 >; 78 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 88 ( 88 usr; 21 con; 0-4 aty)
% Number of variables : 94 (; 92 !; 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 > xp > xn > xk > xe > xd > xc > xT > xS > xQ > xP > xO > xN > xK > xD > xC > szNzAzT0 > sz00 > slcrc0 > #skF_53 > #skF_47 > #skF_7 > #skF_11 > #skF_41 > #skF_17 > #skF_31 > #skF_33 > #skF_44 > #skF_6 > #skF_1 > #skF_18 > #skF_55 > #skF_37 > #skF_56 > #skF_54 > #skF_38 > #skF_4 > #skF_29 > #skF_52 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_49 > #skF_19 > #skF_10 > #skF_42 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_50 > #skF_25 > #skF_3 > #skF_2 > #skF_48 > #skF_40 > #skF_27 > #skF_36 > #skF_43 > #skF_46 > #skF_21 > #skF_45 > #skF_9 > #skF_22 > #skF_16 > #skF_51 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_53',type,
'#skF_53': $i > $i ).
tff(xk,type,
xk: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $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('#skF_44',type,
'#skF_44': ( $i * $i * $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(xd,type,
xd: $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('#skF_55',type,
'#skF_55': $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff('#skF_56',type,
'#skF_56': $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff('#skF_54',type,
'#skF_54': $i ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff(xe,type,
xe: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': $i > $i ).
tff(xP,type,
xP: $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_49',type,
'#skF_49': ( $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_42',type,
'#skF_42': ( $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(xC,type,
xC: $i ).
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(xO,type,
xO: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff(xQ,type,
xQ: $i ).
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(xp,type,
xp: $i ).
tff('#skF_48',type,
'#skF_48': $i > $i ).
tff('#skF_40',type,
'#skF_40': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff(xn,type,
xn: $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff(xK,type,
xK: $i ).
tff(xD,type,
xD: $i ).
tff('#skF_45',type,
'#skF_45': $i > $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('#skF_51',type,
'#skF_51': $i > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_1467,hypothesis,
( aElementOf0(xn,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,xn) = szDzizrdt0(xd) )
& aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& ( sdtlpdtrp0(xe,xn) = xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
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/sandbox2/benchmark/theBenchmark.p',m__3671) ).
tff(f_1501,negated_conjecture,
~ ( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,xD) )
| aSubsetOf0(xP,xD)
| aElementOf0(xP,slbdtsldtrb0(xD,xk)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_1381,hypothesis,
( aSet0(xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,xO) )
& aSubsetOf0(xQ,xO)
& ( sbrdtbr0(xQ) = xK )
& aElementOf0(xQ,slbdtsldtrb0(xO,xK)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5078) ).
tff(f_1440,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5173) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_1492,hypothesis,
( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xn))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0) )
& aSet0(xD)
& ! [W0] :
( aElementOf0(W0,xD)
<=> ( aElement0(W0)
& aElementOf0(W0,sdtlpdtrp0(xN,xn))
& ( W0 != szmzizndt0(sdtlpdtrp0(xN,xn)) ) ) )
& ( xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5585) ).
tff(f_1457,hypothesis,
sbrdtbr0(xP) = xk,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5217) ).
tff(f_1439,hypothesis,
( aSet0(xP)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(szmzizndt0(xQ),W0) )
& ! [W0] :
( aElementOf0(W0,xP)
<=> ( aElement0(W0)
& aElementOf0(W0,xQ)
& ( W0 != szmzizndt0(xQ) ) ) )
& ( xP = sdtmndt0(xQ,szmzizndt0(xQ)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5164) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
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_1474,hypothesis,
( ! [W0] :
( aElementOf0(W0,xP)
=> aElementOf0(W0,sdtlpdtrp0(xN,szszuzczcdt0(xn))) )
& aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5334) ).
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_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
tff(f_467,axiom,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& isFinite0(W0) )
=> ? [W1] :
( aElementOf0(W1,szNzAzT0)
& aSubsetOf0(W0,slbdtrb0(W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mFinSubSeg) ).
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/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
tff(f_824,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
tff(f_324,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
tff(f_471,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( sbrdtbr0(slbdtrb0(W0)) = W0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardSeg) ).
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_1276,hypothesis,
( aFunction0(xe)
& ( szDzozmdt0(xe) = szNzAzT0 )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aElementOf0(sdtlpdtrp0(xe,W0),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(sdtlpdtrp0(xe,W0),W1) )
& ( sdtlpdtrp0(xe,W0) = szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4660) ).
tff(f_163,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> ( sdtpldt0(sdtmndt0(W0,W1),W1) = W0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mConsDiff) ).
tff(f_181,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtpldt0(W1,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCConsSet) ).
tff(f_190,axiom,
! [W0] :
( aElement0(W0)
=> ! [W1] :
( ( aSet0(W1)
& isCountable0(W1) )
=> isCountable0(sdtmndt0(W1,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCDiffSet) ).
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/sandbox2/benchmark/theBenchmark.p',m__3623) ).
tff(c_9858,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_1467]) ).
tff(c_8396,plain,
! [W0_581] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_581),szNzAzT0)
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_9890,plain,
~ aElementOf0('#skF_56',xD),
inference(cnfTransformation,[status(thm)],[f_1501]) ).
tff(c_8394,plain,
! [W0_581] :
( isCountable0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_9796,plain,
aSet0(xQ),
inference(cnfTransformation,[status(thm)],[f_1381]) ).
tff(c_9838,plain,
aElementOf0(xp,xQ),
inference(cnfTransformation,[status(thm)],[f_1440]) ).
tff(c_10318,plain,
! [W1_852,W0_853] :
( aElement0(W1_852)
| ~ aElementOf0(W1_852,W0_853)
| ~ aSet0(W0_853) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_10375,plain,
( aElement0(xp)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c_9838,c_10318]) ).
tff(c_10444,plain,
aElement0(xp),
inference(demodulation,[status(thm),theory(equality)],[c_9796,c_10375]) ).
tff(c_9876,plain,
aSet0(xD),
inference(cnfTransformation,[status(thm)],[f_1492]) ).
tff(c_8400,plain,
! [W0_581] :
( aSet0(sdtlpdtrp0(xN,W0_581))
| ~ aElementOf0(W0_581,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_886]) ).
tff(c_9852,plain,
sbrdtbr0(xP) = xk,
inference(cnfTransformation,[status(thm)],[f_1457]) ).
tff(c_9830,plain,
aSet0(xP),
inference(cnfTransformation,[status(thm)],[f_1439]) ).
tff(c_10250,plain,
! [W0_850] :
( ( slcrc0 = W0_850 )
| ( sbrdtbr0(W0_850) != sz00 )
| ~ aSet0(W0_850) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_10274,plain,
( ( xP = slcrc0 )
| ( sbrdtbr0(xP) != sz00 ) ),
inference(resolution,[status(thm)],[c_9830,c_10250]) ).
tff(c_10301,plain,
( ( xP = slcrc0 )
| ( xk != sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9852,c_10274]) ).
tff(c_10313,plain,
xk != sz00,
inference(splitLeft,[status(thm)],[c_10301]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_9919,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_11777,plain,
! [W0_914] :
( ( slcrc0 = W0_914 )
| aElementOf0('#skF_1'(W0_914),W0_914)
| ~ aSet0(W0_914) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_9836,plain,
! [W0_811] :
( aElement0(W0_811)
| ~ aElementOf0(W0_811,xP) ),
inference(cnfTransformation,[status(thm)],[f_1439]) ).
tff(c_11836,plain,
( aElement0('#skF_1'(xP))
| ( xP = slcrc0 )
| ~ aSet0(xP) ),
inference(resolution,[status(thm)],[c_11777,c_9836]) ).
tff(c_11890,plain,
( aElement0('#skF_1'(xP))
| ( xP = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9830,c_11836]) ).
tff(c_11986,plain,
xP = slcrc0,
inference(splitLeft,[status(thm)],[c_11890]) ).
tff(c_12033,plain,
sbrdtbr0(slcrc0) = xk,
inference(demodulation,[status(thm),theory(equality)],[c_11986,c_9852]) ).
tff(c_12040,plain,
xk = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_9919,c_12033]) ).
tff(c_12042,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10313,c_12040]) ).
tff(c_12044,plain,
xP != slcrc0,
inference(splitRight,[status(thm)],[c_11890]) ).
tff(c_12692,plain,
! [W0_949] :
( aElementOf0(szmzizndt0(W0_949),W0_949)
| ( slcrc0 = W0_949 )
| ~ aSubsetOf0(W0_949,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_12763,plain,
( aElement0(szmzizndt0(xP))
| ( xP = slcrc0 )
| ~ aSubsetOf0(xP,szNzAzT0) ),
inference(resolution,[status(thm)],[c_12692,c_9836]) ).
tff(c_12826,plain,
( aElement0(szmzizndt0(xP))
| ~ aSubsetOf0(xP,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_12044,c_12763]) ).
tff(c_12872,plain,
~ aSubsetOf0(xP,szNzAzT0),
inference(splitLeft,[status(thm)],[c_12826]) ).
tff(c_9868,plain,
aSubsetOf0(xP,sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(cnfTransformation,[status(thm)],[f_1474]) ).
tff(c_114,plain,
! [W0_72] :
( aElementOf0(szszuzczcdt0(W0_72),szNzAzT0)
| ~ aElementOf0(W0_72,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_219]) ).
tff(c_9892,plain,
aElementOf0('#skF_56',xP),
inference(cnfTransformation,[status(thm)],[f_1501]) ).
tff(c_14123,plain,
! [W2_1020,W0_1021,W1_1022] :
( aElementOf0(W2_1020,W0_1021)
| ~ aElementOf0(W2_1020,W1_1022)
| ~ aSubsetOf0(W1_1022,W0_1021)
| ~ aSet0(W0_1021) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_14305,plain,
! [W0_1023] :
( aElementOf0('#skF_56',W0_1023)
| ~ aSubsetOf0(xP,W0_1023)
| ~ aSet0(W0_1023) ),
inference(resolution,[status(thm)],[c_9892,c_14123]) ).
tff(c_14326,plain,
( aElementOf0('#skF_56',sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(resolution,[status(thm)],[c_9868,c_14305]) ).
tff(c_14945,plain,
~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitLeft,[status(thm)],[c_14326]) ).
tff(c_14949,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_14945]) ).
tff(c_14952,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_14949]) ).
tff(c_14956,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_14952]) ).
tff(c_14958,plain,
aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_14326]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_220,plain,
! [W0_148] :
( aSubsetOf0(W0_148,slbdtrb0('#skF_13'(W0_148)))
| ~ isFinite0(W0_148)
| ~ aSubsetOf0(W0_148,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_467]) ).
tff(c_14957,plain,
aElementOf0('#skF_56',sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_14326]) ).
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_15514,plain,
! [W0_1056] :
( aElementOf0('#skF_56',W0_1056)
| ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),W0_1056)
| ~ aSet0(W0_1056) ),
inference(resolution,[status(thm)],[c_14957,c_24]) ).
tff(c_15527,plain,
( aElementOf0('#skF_56',slbdtrb0('#skF_13'(sdtlpdtrp0(xN,szszuzczcdt0(xn)))))
| ~ aSet0(slbdtrb0('#skF_13'(sdtlpdtrp0(xN,szszuzczcdt0(xn)))))
| ~ isFinite0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),szNzAzT0) ),
inference(resolution,[status(thm)],[c_220,c_15514]) ).
tff(c_15568,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),szNzAzT0),
inference(splitLeft,[status(thm)],[c_15527]) ).
tff(c_15572,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(resolution,[status(thm)],[c_8396,c_15568]) ).
tff(c_15575,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_15572]) ).
tff(c_15579,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_15575]) ).
tff(c_15581,plain,
aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),szNzAzT0),
inference(splitRight,[status(thm)],[c_15527]) ).
tff(c_26807,plain,
! [W0_1282,W2_1283,W1_1284] :
( aSubsetOf0(W0_1282,W2_1283)
| ~ aSubsetOf0(W1_1284,W2_1283)
| ~ aSubsetOf0(W0_1282,W1_1284)
| ~ aSet0(W2_1283)
| ~ aSet0(W1_1284)
| ~ aSet0(W0_1282) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_26835,plain,
! [W0_1282] :
( aSubsetOf0(W0_1282,szNzAzT0)
| ~ aSubsetOf0(W0_1282,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(szNzAzT0)
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(W0_1282) ),
inference(resolution,[status(thm)],[c_15581,c_26807]) ).
tff(c_27177,plain,
! [W0_1286] :
( aSubsetOf0(W0_1286,szNzAzT0)
| ~ aSubsetOf0(W0_1286,sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(W0_1286) ),
inference(demodulation,[status(thm),theory(equality)],[c_14958,c_108,c_26835]) ).
tff(c_27184,plain,
( aSubsetOf0(xP,szNzAzT0)
| ~ aSet0(xP) ),
inference(resolution,[status(thm)],[c_9868,c_27177]) ).
tff(c_27194,plain,
aSubsetOf0(xP,szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_9830,c_27184]) ).
tff(c_27196,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12872,c_27194]) ).
tff(c_27198,plain,
aSubsetOf0(xP,szNzAzT0),
inference(splitRight,[status(thm)],[c_12826]) ).
tff(c_8320,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_824]) ).
tff(c_12045,plain,
! [W0_918] :
( isFinite0(W0_918)
| ~ aElementOf0(sbrdtbr0(W0_918),szNzAzT0)
| ~ aSet0(W0_918) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_12054,plain,
( isFinite0(xP)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xP) ),
inference(superposition,[status(thm),theory(equality)],[c_9852,c_12045]) ).
tff(c_12063,plain,
isFinite0(xP),
inference(demodulation,[status(thm),theory(equality)],[c_9830,c_8320,c_12054]) ).
tff(c_222,plain,
! [W0_148] :
( aElementOf0('#skF_13'(W0_148),szNzAzT0)
| ~ isFinite0(W0_148)
| ~ aSubsetOf0(W0_148,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_467]) ).
tff(c_224,plain,
! [W0_150] :
( ( sbrdtbr0(slbdtrb0(W0_150)) = W0_150 )
| ~ aElementOf0(W0_150,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_471]) ).
tff(c_188,plain,
! [W0_133] :
( aSet0(slbdtrb0(W0_133))
| ~ aElementOf0(W0_133,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_152780,plain,
! [W2_3448,W0_3449,W1_3450] :
( aElementOf0(W2_3448,W0_3449)
| ~ aElementOf0(W2_3448,W1_3450)
| ~ aSubsetOf0(W1_3450,W0_3449)
| ~ aSet0(W0_3449) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_153197,plain,
! [W0_3458] :
( aElementOf0('#skF_56',W0_3458)
| ~ aSubsetOf0(xP,W0_3458)
| ~ aSet0(W0_3458) ),
inference(resolution,[status(thm)],[c_9892,c_152780]) ).
tff(c_153201,plain,
( aElementOf0('#skF_56',slbdtrb0('#skF_13'(xP)))
| ~ aSet0(slbdtrb0('#skF_13'(xP)))
| ~ isFinite0(xP)
| ~ aSubsetOf0(xP,szNzAzT0) ),
inference(resolution,[status(thm)],[c_220,c_153197]) ).
tff(c_153220,plain,
( aElementOf0('#skF_56',slbdtrb0('#skF_13'(xP)))
| ~ aSet0(slbdtrb0('#skF_13'(xP))) ),
inference(demodulation,[status(thm),theory(equality)],[c_27198,c_12063,c_153201]) ).
tff(c_154027,plain,
~ aSet0(slbdtrb0('#skF_13'(xP))),
inference(splitLeft,[status(thm)],[c_153220]) ).
tff(c_154031,plain,
~ aElementOf0('#skF_13'(xP),szNzAzT0),
inference(resolution,[status(thm)],[c_188,c_154027]) ).
tff(c_154034,plain,
( ~ isFinite0(xP)
| ~ aSubsetOf0(xP,szNzAzT0) ),
inference(resolution,[status(thm)],[c_222,c_154031]) ).
tff(c_154038,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27198,c_12063,c_154034]) ).
tff(c_154040,plain,
aSet0(slbdtrb0('#skF_13'(xP))),
inference(splitRight,[status(thm)],[c_153220]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_154044,plain,
( ( slbdtrb0('#skF_13'(xP)) = slcrc0 )
| ( sbrdtbr0(slbdtrb0('#skF_13'(xP))) != sz00 ) ),
inference(resolution,[status(thm)],[c_154040,c_156]) ).
tff(c_154570,plain,
sbrdtbr0(slbdtrb0('#skF_13'(xP))) != sz00,
inference(splitLeft,[status(thm)],[c_154044]) ).
tff(c_154573,plain,
( ( '#skF_13'(xP) != sz00 )
| ~ aElementOf0('#skF_13'(xP),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_224,c_154570]) ).
tff(c_155351,plain,
~ aElementOf0('#skF_13'(xP),szNzAzT0),
inference(splitLeft,[status(thm)],[c_154573]) ).
tff(c_155354,plain,
( ~ isFinite0(xP)
| ~ aSubsetOf0(xP,szNzAzT0) ),
inference(resolution,[status(thm)],[c_222,c_155351]) ).
tff(c_155358,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_27198,c_12063,c_155354]) ).
tff(c_155360,plain,
aElementOf0('#skF_13'(xP),szNzAzT0),
inference(splitRight,[status(thm)],[c_154573]) ).
tff(c_157242,plain,
! [W0_3555] :
( aElementOf0('#skF_13'(xP),W0_3555)
| ~ aSubsetOf0(szNzAzT0,W0_3555)
| ~ aSet0(W0_3555) ),
inference(resolution,[status(thm)],[c_155360,c_24]) ).
tff(c_9856,plain,
sdtlpdtrp0(xe,xn) = xp,
inference(cnfTransformation,[status(thm)],[f_1467]) ).
tff(c_9706,plain,
! [W0_780] :
( ( szmzizndt0(sdtlpdtrp0(xN,W0_780)) = sdtlpdtrp0(xe,W0_780) )
| ~ aElementOf0(W0_780,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_151737,plain,
! [W0_3412] :
( sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,xn)),W0_3412)
| ~ aElementOf0(W0_3412,sdtlpdtrp0(xN,xn)) ),
inference(cnfTransformation,[status(thm)],[f_1492]) ).
tff(c_151740,plain,
! [W0_3412] :
( sdtlseqdt0(sdtlpdtrp0(xe,xn),W0_3412)
| ~ aElementOf0(W0_3412,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9706,c_151737]) ).
tff(c_151742,plain,
! [W0_3412] :
( sdtlseqdt0(xp,W0_3412)
| ~ aElementOf0(W0_3412,sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_9856,c_151740]) ).
tff(c_157455,plain,
( sdtlseqdt0(xp,'#skF_13'(xP))
| ~ aSubsetOf0(szNzAzT0,sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_157242,c_151742]) ).
tff(c_157610,plain,
~ aSet0(sdtlpdtrp0(xN,xn)),
inference(splitLeft,[status(thm)],[c_157455]) ).
tff(c_157613,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_157610]) ).
tff(c_157617,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_157613]) ).
tff(c_157619,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_157455]) ).
tff(c_151201,plain,
! [W0_3381] :
( aElementOf0(sdtlpdtrp0(xe,W0_3381),sdtlpdtrp0(xN,W0_3381))
| ~ aElementOf0(W0_3381,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_151221,plain,
( aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_9856,c_151201]) ).
tff(c_151229,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_151221]) ).
tff(c_151335,plain,
! [W0_3385] :
( ( szmzizndt0(sdtlpdtrp0(xN,W0_3385)) = sdtlpdtrp0(xe,W0_3385) )
| ~ aElementOf0(W0_3385,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_9872,plain,
sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))) = xD,
inference(cnfTransformation,[status(thm)],[f_1492]) ).
tff(c_151341,plain,
( ( sdtmndt0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xe,xn)) = xD )
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_151335,c_9872]) ).
tff(c_151356,plain,
sdtmndt0(sdtlpdtrp0(xN,xn),xp) = xD,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_9856,c_151341]) ).
tff(c_153097,plain,
! [W0_3455,W1_3456] :
( ( sdtpldt0(sdtmndt0(W0_3455,W1_3456),W1_3456) = W0_3455 )
| ~ aElementOf0(W1_3456,W0_3455)
| ~ aSet0(W0_3455) ),
inference(cnfTransformation,[status(thm)],[f_163]) ).
tff(c_153121,plain,
( ( sdtpldt0(xD,xp) = sdtlpdtrp0(xN,xn) )
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(superposition,[status(thm),theory(equality)],[c_151356,c_153097]) ).
tff(c_153131,plain,
( ( sdtpldt0(xD,xp) = sdtlpdtrp0(xN,xn) )
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_151229,c_153121]) ).
tff(c_199015,plain,
sdtpldt0(xD,xp) = sdtlpdtrp0(xN,xn),
inference(demodulation,[status(thm),theory(equality)],[c_157619,c_153131]) ).
tff(c_98,plain,
! [W1_62,W0_60] :
( isCountable0(sdtpldt0(W1_62,W0_60))
| ~ isCountable0(W1_62)
| ~ aSet0(W1_62)
| ~ aElement0(W0_60) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_199040,plain,
( isCountable0(sdtlpdtrp0(xN,xn))
| ~ isCountable0(xD)
| ~ aSet0(xD)
| ~ aElement0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_199015,c_98]) ).
tff(c_199066,plain,
( isCountable0(sdtlpdtrp0(xN,xn))
| ~ isCountable0(xD) ),
inference(demodulation,[status(thm),theory(equality)],[c_10444,c_9876,c_199040]) ).
tff(c_199530,plain,
~ isCountable0(xD),
inference(splitLeft,[status(thm)],[c_199066]) ).
tff(c_100,plain,
! [W1_65,W0_63] :
( isCountable0(sdtmndt0(W1_65,W0_63))
| ~ isCountable0(W1_65)
| ~ aSet0(W1_65)
| ~ aElement0(W0_63) ),
inference(cnfTransformation,[status(thm)],[f_190]) ).
tff(c_151404,plain,
( isCountable0(xD)
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn))
| ~ aElement0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_151356,c_100]) ).
tff(c_151416,plain,
( isCountable0(xD)
| ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_10444,c_151404]) ).
tff(c_201750,plain,
( isCountable0(xD)
| ~ isCountable0(sdtlpdtrp0(xN,xn)) ),
inference(demodulation,[status(thm),theory(equality)],[c_157619,c_151416]) ).
tff(c_201751,plain,
~ isCountable0(sdtlpdtrp0(xN,xn)),
inference(negUnitSimplification,[status(thm)],[c_199530,c_201750]) ).
tff(c_201754,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8394,c_201751]) ).
tff(c_201758,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_201754]) ).
tff(c_201759,plain,
isCountable0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_199066]) ).
tff(c_9880,plain,
~ aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xn)),xD),
inference(cnfTransformation,[status(thm)],[f_1492]) ).
tff(c_151347,plain,
( ~ aElementOf0(sdtlpdtrp0(xe,xn),xD)
| ~ aElementOf0(xn,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_151335,c_9880]) ).
tff(c_151358,plain,
~ aElementOf0(xp,xD),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_9856,c_151347]) ).
tff(c_9710,plain,
! [W0_780] :
( aElementOf0(sdtlpdtrp0(xe,W0_780),sdtlpdtrp0(xN,W0_780))
| ~ aElementOf0(W0_780,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_1276]) ).
tff(c_162770,plain,
! [W0_3645] :
( aElementOf0(W0_3645,xD)
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = W0_3645 )
| ~ aElementOf0(W0_3645,sdtlpdtrp0(xN,xn))
| ~ aElement0(W0_3645) ),
inference(cnfTransformation,[status(thm)],[f_1492]) ).
tff(c_162837,plain,
( aElementOf0(sdtlpdtrp0(xe,xn),xD)
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = sdtlpdtrp0(xe,xn) )
| ~ aElement0(sdtlpdtrp0(xe,xn))
| ~ aElementOf0(xn,szNzAzT0) ),
inference(resolution,[status(thm)],[c_9710,c_162770]) ).
tff(c_162900,plain,
( aElementOf0(xp,xD)
| ( szmzizndt0(sdtlpdtrp0(xN,xn)) = xp ) ),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_10444,c_9856,c_9856,c_9856,c_162837]) ).
tff(c_162901,plain,
szmzizndt0(sdtlpdtrp0(xN,xn)) = xp,
inference(negUnitSimplification,[status(thm)],[c_151358,c_162900]) ).
tff(c_207297,plain,
! [W0_4167] :
( ~ aSubsetOf0(sdtlpdtrp0(xN,W0_4167),szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0_4167)),sdtmndt0(sdtlpdtrp0(xN,W0_4167),szmzizndt0(sdtlpdtrp0(xN,W0_4167))))
| ~ isCountable0(sdtlpdtrp0(xN,W0_4167))
| ~ aElementOf0(W0_4167,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_153224,plain,
( aElementOf0('#skF_56',sdtlpdtrp0(xN,szszuzczcdt0(xn)))
| ~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))) ),
inference(resolution,[status(thm)],[c_9868,c_153197]) ).
tff(c_153941,plain,
~ aSet0(sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitLeft,[status(thm)],[c_153224]) ).
tff(c_153945,plain,
~ aElementOf0(szszuzczcdt0(xn),szNzAzT0),
inference(resolution,[status(thm)],[c_8400,c_153941]) ).
tff(c_153948,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_114,c_153945]) ).
tff(c_153952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_153948]) ).
tff(c_153953,plain,
aElementOf0('#skF_56',sdtlpdtrp0(xN,szszuzczcdt0(xn))),
inference(splitRight,[status(thm)],[c_153224]) ).
tff(c_153969,plain,
! [W0_14] :
( aElementOf0('#skF_56',W0_14)
| ~ aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(xn)),W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_153953,c_24]) ).
tff(c_207315,plain,
( aElementOf0('#skF_56',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_207297,c_153969]) ).
tff(c_207366,plain,
( aElementOf0('#skF_56',xD)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_201759,c_9876,c_151356,c_162901,c_151356,c_162901,c_207315]) ).
tff(c_207367,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xn),szNzAzT0),
inference(negUnitSimplification,[status(thm)],[c_9890,c_207366]) ).
tff(c_207387,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_8396,c_207367]) ).
tff(c_207394,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9858,c_207387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM629+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:34:48 EDT 2023
% 0.14/0.35 % CPUTime :
% 140.70/116.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 140.70/116.43
% 140.70/116.43 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 140.95/116.48
% 140.95/116.48 Inference rules
% 140.95/116.48 ----------------------
% 140.95/116.48 #Ref : 10
% 140.95/116.48 #Sup : 35231
% 140.95/116.48 #Fact : 6
% 140.95/116.48 #Define : 0
% 140.95/116.48 #Split : 1106
% 140.95/116.48 #Chain : 0
% 140.95/116.48 #Close : 0
% 140.95/116.48
% 140.95/116.48 Ordering : KBO
% 140.95/116.48
% 140.95/116.48 Simplification rules
% 140.95/116.48 ----------------------
% 140.95/116.48 #Subsume : 9442
% 140.95/116.48 #Demod : 33696
% 140.95/116.48 #Tautology : 6177
% 140.95/116.48 #SimpNegUnit : 1648
% 140.95/116.48 #BackRed : 867
% 140.95/116.48
% 140.95/116.48 #Partial instantiations: 0
% 140.95/116.48 #Strategies tried : 1
% 140.95/116.48
% 140.95/116.48 Timing (in seconds)
% 140.95/116.48 ----------------------
% 140.95/116.49 Preprocessing : 2.31
% 140.95/116.49 Parsing : 0.55
% 140.95/116.49 CNF conversion : 0.18
% 140.95/116.49 Main loop : 113.08
% 140.95/116.49 Inferencing : 8.81
% 140.95/116.49 Reduction : 73.32
% 140.95/116.49 Demodulation : 61.18
% 140.95/116.49 BG Simplification : 0.94
% 140.95/116.49 Subsumption : 23.27
% 140.95/116.49 Abstraction : 0.90
% 140.95/116.49 MUC search : 0.00
% 140.95/116.49 Cooper : 0.00
% 140.95/116.49 Total : 115.48
% 140.95/116.49 Index Insertion : 0.00
% 140.95/116.49 Index Deletion : 0.00
% 140.95/116.49 Index Matching : 0.00
% 140.95/116.49 BG Taut test : 0.00
%------------------------------------------------------------------------------