TSTP Solution File: NUM580+1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM580+1 : 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 : n009.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 10:52:12 EDT 2023
% Result : Theorem 81.75s 63.34s
% Output : CNFRefutation 81.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 86
% Syntax : Number of formulae : 268 ( 107 unt; 61 typ; 7 def)
% Number of atoms : 422 ( 84 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 410 ( 195 ~; 143 |; 31 &)
% ( 14 <=>; 27 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 102 ( 50 >; 52 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 11 con; 0-4 aty)
% Number of variables : 97 (; 96 !; 1 ?; 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 > xk > xi > xc > xT > xS > xQ > xN > xK > szNzAzT0 > sz00 > slcrc0 > #skF_26 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_27 > #skF_1 > #skF_18 > #skF_4 > #skF_12 > #skF_23 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_24 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_21 > #skF_9 > #skF_22 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff('#skF_26',type,
'#skF_26': ( $i * $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $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(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('#skF_27',type,
'#skF_27': ( $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(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_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $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_24',type,
'#skF_24': ( $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(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(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(szmzizndt0,type,
szmzizndt0: $i > $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_749,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989) ).
tff(f_730,hypothesis,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(sdtlpdtrp0(xN,W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3671) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_72,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ( W0 != slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin_01) ).
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_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_342,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aElement0(W1)
=> ( ~ aElementOf0(W1,W0)
=> ( sbrdtbr0(sdtpldt0(W0,W1)) = szszuzczcdt0(sbrdtbr0(W0)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardCons) ).
tff(f_752,negated_conjecture,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_211,axiom,
( aSet0(szNzAzT0)
& isCountable0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
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_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/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
tff(f_708,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
tff(f_750,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3989_02) ).
tff(f_487,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( W2 = slbdtsldtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& ( sbrdtbr0(W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
tff(f_324,axiom,
! [W0] :
( aSet0(W0)
=> ( aElementOf0(sbrdtbr0(W0),szNzAzT0)
<=> isFinite0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardNum) ).
tff(f_241,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( W0 != szszuzczcdt0(W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatNSucc) ).
tff(f_664,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
tff(f_450,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( aElementOf0(W0,slbdtrb0(szszuzczcdt0(W1)))
<=> ( aElementOf0(W0,slbdtrb0(W1))
| ( W0 = W1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegSucc) ).
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_265,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
<=> sdtlseqdt0(szszuzczcdt0(W0),szszuzczcdt0(W1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
tff(f_724,hypothesis,
( aFunction0(xN)
& ( szDzozmdt0(xN) = szNzAzT0 )
& ( sdtlpdtrp0(xN,sz00) = xS )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0)
& isCountable0(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(f_630,definition,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aSubsetOf0(W1,szDzozmdt0(W0))
=> ! [W2] :
( ( W2 = sdtexdt0(W0,W1) )
<=> ( aFunction0(W2)
& ( szDzozmdt0(W2) = W1 )
& ! [W3] :
( aElementOf0(W3,W1)
=> ( sdtlpdtrp0(W2,W3) = sdtlpdtrp0(W0,W3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefRst) ).
tff(f_559,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDomSet) ).
tff(f_421,axiom,
! [W0,W1] :
( ( aSubsetOf0(W0,szNzAzT0)
& aSubsetOf0(W1,szNzAzT0)
& ( W0 != slcrc0 )
& ( W1 != slcrc0 ) )
=> ( ( aElementOf0(szmzizndt0(W0),W1)
& aElementOf0(szmzizndt0(W1),W0) )
=> ( szmzizndt0(W0) = szmzizndt0(W1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMinMin) ).
tff(c_382,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_749]) ).
tff(c_376,plain,
! [W0_382] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_14,plain,
aSet0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_22,plain,
( ~ isCountable0(slcrc0)
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_72]) ).
tff(c_390,plain,
~ isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_919,plain,
! [W0_430] :
( aElementOf0(szmzizndt0(W0_430),W0_430)
| ( slcrc0 = W0_430 )
| ~ aSubsetOf0(W0_430,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
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_942,plain,
! [W0_430] :
( aElement0(szmzizndt0(W0_430))
| ~ aSet0(W0_430)
| ( slcrc0 = W0_430 )
| ~ aSubsetOf0(W0_430,szNzAzT0) ),
inference(resolution,[status(thm)],[c_919,c_6]) ).
tff(c_30942,plain,
! [W0_1160,W1_1161] :
( ( szszuzczcdt0(sbrdtbr0(W0_1160)) = sbrdtbr0(sdtpldt0(W0_1160,W1_1161)) )
| aElementOf0(W1_1161,W0_1160)
| ~ aElement0(W1_1161)
| ~ isFinite0(W0_1160)
| ~ aSet0(W0_1160) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_386,plain,
sbrdtbr0(sdtpldt0(xQ,szmzizndt0(sdtlpdtrp0(xN,xi)))) != xK,
inference(cnfTransformation,[status(thm)],[f_752]) ).
tff(c_31074,plain,
( ( szszuzczcdt0(sbrdtbr0(xQ)) != xK )
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[status(thm),theory(equality)],[c_30942,c_386]) ).
tff(c_31252,plain,
~ aSet0(xQ),
inference(splitLeft,[status(thm)],[c_31074]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_388,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_717,plain,
! [W0_416] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_416),szNzAzT0)
| ~ aElementOf0(W0_416,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
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_720,plain,
! [W0_416] :
( aSet0(sdtlpdtrp0(xN,W0_416))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_416,szNzAzT0) ),
inference(resolution,[status(thm)],[c_717,c_26]) ).
tff(c_726,plain,
! [W0_416] :
( aSet0(sdtlpdtrp0(xN,W0_416))
| ~ aElementOf0(W0_416,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_720]) ).
tff(c_70,plain,
! [W0_44,W1_45] :
( aSet0(sdtmndt0(W0_44,W1_45))
| ~ aElement0(W1_45)
| ~ aSet0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_362,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_708]) ).
tff(c_384,plain,
aElementOf0(xQ,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))),xk)),
inference(cnfTransformation,[status(thm)],[f_750]) ).
tff(c_2512,plain,
! [W3_549,W1_550,W0_551] :
( ( sbrdtbr0(W3_549) = W1_550 )
| ~ aElementOf0(W3_549,slbdtsldtrb0(W0_551,W1_550))
| ~ aElementOf0(W1_550,szNzAzT0)
| ~ aSet0(W0_551) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_2519,plain,
( ( sbrdtbr0(xQ) = xk )
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[status(thm)],[c_384,c_2512]) ).
tff(c_2538,plain,
( ( sbrdtbr0(xQ) = xk )
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_2519]) ).
tff(c_59243,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitLeft,[status(thm)],[c_2538]) ).
tff(c_59247,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_70,c_59243]) ).
tff(c_59248,plain,
~ aSet0(sdtlpdtrp0(xN,xi)),
inference(splitLeft,[status(thm)],[c_59247]) ).
tff(c_59319,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_726,c_59248]) ).
tff(c_59323,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_59319]) ).
tff(c_59325,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(splitRight,[status(thm)],[c_59247]) ).
tff(c_59324,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(splitRight,[status(thm)],[c_59247]) ).
tff(c_59332,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(resolution,[status(thm)],[c_942,c_59324]) ).
tff(c_59335,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_59325,c_59332]) ).
tff(c_59405,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitLeft,[status(thm)],[c_59335]) ).
tff(c_59411,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_59405]) ).
tff(c_59418,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_59411]) ).
tff(c_59419,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_59335]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_59329,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ( sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00 ) ),
inference(resolution,[status(thm)],[c_59325,c_156]) ).
tff(c_59404,plain,
sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00,
inference(splitLeft,[status(thm)],[c_59329]) ).
tff(c_59421,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_59419,c_59404]) ).
tff(c_59429,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_59421]) ).
tff(c_59430,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_59329]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_59617,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_59430,c_374]) ).
tff(c_59651,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_59617]) ).
tff(c_59653,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390,c_59651]) ).
tff(c_59655,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitRight,[status(thm)],[c_2538]) ).
tff(c_2784,plain,
! [W3_559,W0_560,W1_561] :
( aSubsetOf0(W3_559,W0_560)
| ~ aElementOf0(W3_559,slbdtsldtrb0(W0_560,W1_561))
| ~ aElementOf0(W1_561,szNzAzT0)
| ~ aSet0(W0_560) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_2791,plain,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[status(thm)],[c_384,c_2784]) ).
tff(c_2810,plain,
( aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_2791]) ).
tff(c_146503,plain,
aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(demodulation,[status(thm),theory(equality)],[c_59655,c_2810]) ).
tff(c_146515,plain,
( aSet0(xQ)
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[status(thm)],[c_146503,c_26]) ).
tff(c_146530,plain,
aSet0(xQ),
inference(demodulation,[status(thm),theory(equality)],[c_59655,c_146515]) ).
tff(c_146532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31252,c_146530]) ).
tff(c_146534,plain,
aSet0(xQ),
inference(splitRight,[status(thm)],[c_31074]) ).
tff(c_360,plain,
szszuzczcdt0(xk) = xK,
inference(cnfTransformation,[status(thm)],[f_708]) ).
tff(c_150969,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitLeft,[status(thm)],[c_2538]) ).
tff(c_150973,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_70,c_150969]) ).
tff(c_151108,plain,
~ aSet0(sdtlpdtrp0(xN,xi)),
inference(splitLeft,[status(thm)],[c_150973]) ).
tff(c_151111,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_726,c_151108]) ).
tff(c_151115,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_151111]) ).
tff(c_151117,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(splitRight,[status(thm)],[c_150973]) ).
tff(c_151116,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(splitRight,[status(thm)],[c_150973]) ).
tff(c_151333,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(resolution,[status(thm)],[c_942,c_151116]) ).
tff(c_151336,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_151117,c_151333]) ).
tff(c_151338,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitLeft,[status(thm)],[c_151336]) ).
tff(c_151344,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_151338]) ).
tff(c_151351,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_151344]) ).
tff(c_151352,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_151336]) ).
tff(c_151121,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ( sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00 ) ),
inference(resolution,[status(thm)],[c_151117,c_156]) ).
tff(c_151337,plain,
sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00,
inference(splitLeft,[status(thm)],[c_151121]) ).
tff(c_151434,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_151352,c_151337]) ).
tff(c_151442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_151434]) ).
tff(c_151443,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_151121]) ).
tff(c_151496,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_151443,c_374]) ).
tff(c_151530,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_151496]) ).
tff(c_151532,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390,c_151530]) ).
tff(c_151533,plain,
sbrdtbr0(xQ) = xk,
inference(splitRight,[status(thm)],[c_2538]) ).
tff(c_146533,plain,
( ~ isFinite0(xQ)
| ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ( szszuzczcdt0(sbrdtbr0(xQ)) != xK )
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ) ),
inference(splitRight,[status(thm)],[c_31074]) ).
tff(c_146540,plain,
szszuzczcdt0(sbrdtbr0(xQ)) != xK,
inference(splitLeft,[status(thm)],[c_146533]) ).
tff(c_151535,plain,
szszuzczcdt0(xk) != xK,
inference(demodulation,[status(thm),theory(equality)],[c_151533,c_146540]) ).
tff(c_151539,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_360,c_151535]) ).
tff(c_151541,plain,
szszuzczcdt0(sbrdtbr0(xQ)) = xK,
inference(splitRight,[status(thm)],[c_146533]) ).
tff(c_646,plain,
! [W0_411] :
( aElementOf0(sbrdtbr0(W0_411),szNzAzT0)
| ~ isFinite0(W0_411)
| ~ aSet0(W0_411) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_122,plain,
! [W0_77] :
( ( szszuzczcdt0(W0_77) != W0_77 )
| ~ aElementOf0(W0_77,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_241]) ).
tff(c_665,plain,
! [W0_411] :
( ( szszuzczcdt0(sbrdtbr0(W0_411)) != sbrdtbr0(W0_411) )
| ~ isFinite0(W0_411)
| ~ aSet0(W0_411) ),
inference(resolution,[status(thm)],[c_646,c_122]) ).
tff(c_151594,plain,
( ( sbrdtbr0(xQ) != xK )
| ~ isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(superposition,[status(thm),theory(equality)],[c_151541,c_665]) ).
tff(c_151641,plain,
( ( sbrdtbr0(xQ) != xK )
| ~ isFinite0(xQ) ),
inference(demodulation,[status(thm),theory(equality)],[c_146534,c_151594]) ).
tff(c_151650,plain,
~ isFinite0(xQ),
inference(splitLeft,[status(thm)],[c_151641]) ).
tff(c_154544,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitLeft,[status(thm)],[c_2538]) ).
tff(c_154548,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_70,c_154544]) ).
tff(c_154652,plain,
~ aSet0(sdtlpdtrp0(xN,xi)),
inference(splitLeft,[status(thm)],[c_154548]) ).
tff(c_154655,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_726,c_154652]) ).
tff(c_154659,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_154655]) ).
tff(c_154661,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(splitRight,[status(thm)],[c_154548]) ).
tff(c_154660,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(splitRight,[status(thm)],[c_154548]) ).
tff(c_154799,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(resolution,[status(thm)],[c_942,c_154660]) ).
tff(c_154802,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_154661,c_154799]) ).
tff(c_154804,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitLeft,[status(thm)],[c_154802]) ).
tff(c_154810,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_154804]) ).
tff(c_154817,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_154810]) ).
tff(c_154818,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_154802]) ).
tff(c_154665,plain,
( ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ( sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00 ) ),
inference(resolution,[status(thm)],[c_154661,c_156]) ).
tff(c_154803,plain,
sbrdtbr0(sdtlpdtrp0(xN,xi)) != sz00,
inference(splitLeft,[status(thm)],[c_154665]) ).
tff(c_154960,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_154818,c_154803]) ).
tff(c_154968,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_154960]) ).
tff(c_154969,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(splitRight,[status(thm)],[c_154665]) ).
tff(c_155022,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_154969,c_374]) ).
tff(c_155056,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_155022]) ).
tff(c_155058,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390,c_155056]) ).
tff(c_155059,plain,
sbrdtbr0(xQ) = xk,
inference(splitRight,[status(thm)],[c_2538]) ).
tff(c_336,plain,
aElementOf0(xK,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_674,plain,
! [W1_414] :
( aElementOf0(W1_414,slbdtrb0(szszuzczcdt0(W1_414)))
| ~ aElementOf0(W1_414,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_450]) ).
tff(c_680,plain,
( aElementOf0(xk,slbdtrb0(xK))
| ~ aElementOf0(xk,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_360,c_674]) ).
tff(c_683,plain,
aElementOf0(xk,slbdtrb0(xK)),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_680]) ).
tff(c_1456,plain,
! [W2_497,W0_498] :
( sdtlseqdt0(szszuzczcdt0(W2_497),W0_498)
| ~ aElementOf0(W2_497,slbdtrb0(W0_498))
| ~ aElementOf0(W0_498,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_435]) ).
tff(c_1512,plain,
! [W0_502] :
( sdtlseqdt0(xK,W0_502)
| ~ aElementOf0(xk,slbdtrb0(W0_502))
| ~ aElementOf0(W0_502,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_360,c_1456]) ).
tff(c_1515,plain,
( sdtlseqdt0(xK,xK)
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[status(thm)],[c_683,c_1512]) ).
tff(c_1525,plain,
sdtlseqdt0(xK,xK),
inference(demodulation,[status(thm),theory(equality)],[c_336,c_1515]) ).
tff(c_3308,plain,
! [W0_597,W1_598] :
( sdtlseqdt0(W0_597,W1_598)
| ~ sdtlseqdt0(szszuzczcdt0(W0_597),szszuzczcdt0(W1_598))
| ~ aElementOf0(W1_598,szNzAzT0)
| ~ aElementOf0(W0_597,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_265]) ).
tff(c_3339,plain,
! [W0_597] :
( sdtlseqdt0(W0_597,xk)
| ~ sdtlseqdt0(szszuzczcdt0(W0_597),xK)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aElementOf0(W0_597,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_360,c_3308]) ).
tff(c_3348,plain,
! [W0_597] :
( sdtlseqdt0(W0_597,xk)
| ~ sdtlseqdt0(szszuzczcdt0(W0_597),xK)
| ~ aElementOf0(W0_597,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_3339]) ).
tff(c_151554,plain,
( sdtlseqdt0(sbrdtbr0(xQ),xk)
| ~ sdtlseqdt0(xK,xK)
| ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_151541,c_3348]) ).
tff(c_151633,plain,
( sdtlseqdt0(sbrdtbr0(xQ),xk)
| ~ aElementOf0(sbrdtbr0(xQ),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_1525,c_151554]) ).
tff(c_151684,plain,
~ aElementOf0(sbrdtbr0(xQ),szNzAzT0),
inference(splitLeft,[status(thm)],[c_151633]) ).
tff(c_155062,plain,
~ aElementOf0(xk,szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_155059,c_151684]) ).
tff(c_155067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_362,c_155062]) ).
tff(c_155069,plain,
aElementOf0(sbrdtbr0(xQ),szNzAzT0),
inference(splitRight,[status(thm)],[c_151633]) ).
tff(c_152,plain,
! [W0_97] :
( isFinite0(W0_97)
| ~ aElementOf0(sbrdtbr0(W0_97),szNzAzT0)
| ~ aSet0(W0_97) ),
inference(cnfTransformation,[status(thm)],[f_324]) ).
tff(c_155090,plain,
( isFinite0(xQ)
| ~ aSet0(xQ) ),
inference(resolution,[status(thm)],[c_155069,c_152]) ).
tff(c_155113,plain,
isFinite0(xQ),
inference(demodulation,[status(thm),theory(equality)],[c_146534,c_155090]) ).
tff(c_155115,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151650,c_155113]) ).
tff(c_155117,plain,
isFinite0(xQ),
inference(splitRight,[status(thm)],[c_151641]) ).
tff(c_151540,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ isFinite0(xQ)
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ) ),
inference(splitRight,[status(thm)],[c_146533]) ).
tff(c_155220,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ) ),
inference(demodulation,[status(thm),theory(equality)],[c_155117,c_151540]) ).
tff(c_155221,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(splitLeft,[status(thm)],[c_155220]) ).
tff(c_155225,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0) ),
inference(resolution,[status(thm)],[c_942,c_155221]) ).
tff(c_158450,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitLeft,[status(thm)],[c_155225]) ).
tff(c_158456,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_158450]) ).
tff(c_158461,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_158456]) ).
tff(c_158463,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitRight,[status(thm)],[c_155225]) ).
tff(c_368,plain,
aFunction0(xN),
inference(cnfTransformation,[status(thm)],[f_724]) ).
tff(c_366,plain,
szDzozmdt0(xN) = szNzAzT0,
inference(cnfTransformation,[status(thm)],[f_724]) ).
tff(c_1081,plain,
! [W0_451,W1_452] :
( aFunction0(sdtexdt0(W0_451,W1_452))
| ~ aSubsetOf0(W1_452,szDzozmdt0(W0_451))
| ~ aFunction0(W0_451) ),
inference(cnfTransformation,[status(thm)],[f_630]) ).
tff(c_1088,plain,
! [W1_452] :
( aFunction0(sdtexdt0(xN,W1_452))
| ~ aSubsetOf0(W1_452,szNzAzT0)
| ~ aFunction0(xN) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_1081]) ).
tff(c_1091,plain,
! [W1_452] :
( aFunction0(sdtexdt0(xN,W1_452))
| ~ aSubsetOf0(W1_452,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_1088]) ).
tff(c_1268,plain,
! [W0_482,W1_483] :
( ( szDzozmdt0(sdtexdt0(W0_482,W1_483)) = W1_483 )
| ~ aSubsetOf0(W1_483,szDzozmdt0(W0_482))
| ~ aFunction0(W0_482) ),
inference(cnfTransformation,[status(thm)],[f_630]) ).
tff(c_1278,plain,
! [W1_483] :
( ( szDzozmdt0(sdtexdt0(xN,W1_483)) = W1_483 )
| ~ aSubsetOf0(W1_483,szNzAzT0)
| ~ aFunction0(xN) ),
inference(superposition,[status(thm),theory(equality)],[c_366,c_1268]) ).
tff(c_1283,plain,
! [W1_484] :
( ( szDzozmdt0(sdtexdt0(xN,W1_484)) = W1_484 )
| ~ aSubsetOf0(W1_484,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_368,c_1278]) ).
tff(c_262,plain,
! [W0_184] :
( aSet0(szDzozmdt0(W0_184))
| ~ aFunction0(W0_184) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_1316,plain,
! [W1_485] :
( aSet0(W1_485)
| ~ aFunction0(sdtexdt0(xN,W1_485))
| ~ aSubsetOf0(W1_485,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_1283,c_262]) ).
tff(c_1320,plain,
! [W1_452] :
( aSet0(W1_452)
| ~ aSubsetOf0(W1_452,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1091,c_1316]) ).
tff(c_158483,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(resolution,[status(thm)],[c_158463,c_1320]) ).
tff(c_158462,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 ) ),
inference(splitRight,[status(thm)],[c_155225]) ).
tff(c_158496,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_158483,c_158462]) ).
tff(c_158549,plain,
( isCountable0(slcrc0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_158496,c_374]) ).
tff(c_158583,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_158549]) ).
tff(c_158585,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_390,c_158583]) ).
tff(c_158586,plain,
aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),xQ),
inference(splitRight,[status(thm)],[c_155220]) ).
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_158656,plain,
! [W0_14] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0_14)
| ~ aSubsetOf0(xQ,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_158586,c_24]) ).
tff(c_214192,plain,
! [W1_4192,W0_4193] :
( ( szmzizndt0(W1_4192) = szmzizndt0(W0_4193) )
| ~ aElementOf0(szmzizndt0(W1_4192),W0_4193)
| ~ aElementOf0(szmzizndt0(W0_4193),W1_4192)
| ( slcrc0 = W1_4192 )
| ( slcrc0 = W0_4193 )
| ~ aSubsetOf0(W1_4192,szNzAzT0)
| ~ aSubsetOf0(W0_4193,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_214225,plain,
! [W0_14] :
( ( szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(W0_14) )
| ~ aElementOf0(szmzizndt0(W0_14),sdtlpdtrp0(xN,xi))
| ( sdtlpdtrp0(xN,xi) = slcrc0 )
| ( slcrc0 = W0_14 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0)
| ~ aSubsetOf0(W0_14,szNzAzT0)
| ~ aSubsetOf0(xQ,W0_14)
| ~ aSet0(W0_14) ),
inference(resolution,[status(thm)],[c_158656,c_214192]) ).
tff(c_233047,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitLeft,[status(thm)],[c_214225]) ).
tff(c_233053,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_233047]) ).
tff(c_233058,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_233053]) ).
tff(c_233060,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference(splitRight,[status(thm)],[c_214225]) ).
tff(c_233085,plain,
aSet0(sdtlpdtrp0(xN,xi)),
inference(resolution,[status(thm)],[c_233060,c_1320]) ).
tff(c_158587,plain,
aElement0(szmzizndt0(sdtlpdtrp0(xN,xi))),
inference(splitRight,[status(thm)],[c_155220]) ).
tff(c_273761,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitLeft,[status(thm)],[c_2810]) ).
tff(c_273767,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(sdtlpdtrp0(xN,xi)) ),
inference(resolution,[status(thm)],[c_70,c_273761]) ).
tff(c_273773,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_233085,c_158587,c_273767]) ).
tff(c_273775,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitRight,[status(thm)],[c_2810]) ).
tff(c_273774,plain,
aSubsetOf0(xQ,sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))),
inference(splitRight,[status(thm)],[c_2810]) ).
tff(c_209399,plain,
! [W0_4073] :
( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,xi)),W0_4073)
| ~ aSubsetOf0(xQ,W0_4073)
| ~ aSet0(W0_4073) ),
inference(resolution,[status(thm)],[c_158586,c_24]) ).
tff(c_72,plain,
! [W3_54,W0_44] :
( ~ aElementOf0(W3_54,sdtmndt0(W0_44,W3_54))
| ~ aElement0(W3_54)
| ~ aSet0(W0_44) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_209472,plain,
! [W0_44] :
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,xi)))
| ~ aSet0(W0_44)
| ~ aSubsetOf0(xQ,sdtmndt0(W0_44,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(W0_44,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[status(thm)],[c_209399,c_72]) ).
tff(c_209524,plain,
! [W0_44] :
( ~ aSet0(W0_44)
| ~ aSubsetOf0(xQ,sdtmndt0(W0_44,szmzizndt0(sdtlpdtrp0(xN,xi))))
| ~ aSet0(sdtmndt0(W0_44,szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(demodulation,[status(thm),theory(equality)],[c_158587,c_209472]) ).
tff(c_273827,plain,
( ~ aSet0(sdtlpdtrp0(xN,xi))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,xi),szmzizndt0(sdtlpdtrp0(xN,xi)))) ),
inference(resolution,[status(thm)],[c_273774,c_209524]) ).
tff(c_273861,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_273775,c_233085,c_273827]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM580+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 14:47:09 EDT 2023
% 0.13/0.35 % CPUTime :
% 81.75/63.34 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 81.87/63.37
% 81.87/63.37 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 81.87/63.42
% 81.87/63.42 Inference rules
% 81.87/63.42 ----------------------
% 81.87/63.42 #Ref : 15
% 81.87/63.42 #Sup : 54330
% 81.87/63.42 #Fact : 30
% 81.87/63.42 #Define : 0
% 81.87/63.42 #Split : 1088
% 81.87/63.42 #Chain : 0
% 81.87/63.42 #Close : 0
% 81.87/63.42
% 81.87/63.42 Ordering : KBO
% 81.87/63.42
% 81.87/63.42 Simplification rules
% 81.87/63.42 ----------------------
% 81.87/63.42 #Subsume : 14110
% 81.87/63.42 #Demod : 65170
% 81.87/63.42 #Tautology : 10620
% 81.87/63.42 #SimpNegUnit : 5175
% 81.87/63.42 #BackRed : 1427
% 81.87/63.42
% 81.87/63.42 #Partial instantiations: 0
% 81.87/63.42 #Strategies tried : 1
% 81.87/63.42
% 81.87/63.42 Timing (in seconds)
% 81.87/63.42 ----------------------
% 81.87/63.42 Preprocessing : 0.85
% 81.87/63.42 Parsing : 0.41
% 81.87/63.42 CNF conversion : 0.08
% 81.87/63.42 Main loop : 61.48
% 81.87/63.42 Inferencing : 11.60
% 81.87/63.42 Reduction : 29.96
% 81.87/63.42 Demodulation : 22.41
% 81.87/63.42 BG Simplification : 0.41
% 81.87/63.42 Subsumption : 15.80
% 81.87/63.42 Abstraction : 0.71
% 81.87/63.42 MUC search : 0.00
% 81.87/63.42 Cooper : 0.00
% 81.87/63.42 Total : 62.42
% 81.87/63.42 Index Insertion : 0.00
% 81.87/63.42 Index Deletion : 0.00
% 81.87/63.42 Index Matching : 0.00
% 81.87/63.43 BG Taut test : 0.00
%------------------------------------------------------------------------------