TSTP Solution File: NUM623+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM623+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 : n020.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 10:52:22 EDT 2023
% Result : Theorem 32.43s 16.84s
% Output : CNFRefutation 32.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 91
% Syntax : Number of formulae : 147 ( 40 unt; 73 typ; 3 def)
% Number of atoms : 155 ( 36 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 140 ( 59 ~; 51 |; 17 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 106 ( 54 >; 52 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 64 ( 64 usr; 19 con; 0-4 aty)
% Number of variables : 33 (; 32 !; 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 > xx > xp > xn > xm > xk > xe > xd > xc > xT > xS > xQ > xP > xO > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_26 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_27 > #skF_1 > #skF_31 > #skF_18 > #skF_4 > #skF_29 > #skF_12 > #skF_23 > #skF_28 > #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_30 > #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(xd,type,
xd: $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_31',type,
'#skF_31': $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(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(xe,type,
xe: $i ).
tff(xP,type,
xP: $i ).
tff('#skF_29',type,
'#skF_29': $i > $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(xx,type,
xx: $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_28',type,
'#skF_28': $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(xC,type,
xC: $i ).
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(xO,type,
xO: $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(xp,type,
xp: $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff(xm,type,
xm: $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(xn,type,
xn: $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_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_30',type,
'#skF_30': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_884,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& ( sdtlpdtrp0(xe,xn) = xp ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5309) ).
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_892,hypothesis,
( aElementOf0(xm,szNzAzT0)
& ( xx = sdtlpdtrp0(xe,xm) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5389) ).
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_896,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5461) ).
tff(f_53,axiom,
isFinite0(slcrc0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEmpFin) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_901,negated_conjecture,
xp != xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_893,hypothesis,
xx = szmzizndt0(sdtlpdtrp0(xN,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5401) ).
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_899,hypothesis,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5481) ).
tff(f_867,hypothesis,
( aSubsetOf0(xQ,xO)
& ( xQ != slcrc0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5093) ).
tff(f_868,hypothesis,
aSubsetOf0(xQ,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5106) ).
tff(f_870,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__5147) ).
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(f_93,axiom,
! [W0] :
( ( aSet0(W0)
& isFinite0(W0) )
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> isFinite0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubFSet) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_474,plain,
aElementOf0(xn,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_884]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_488,plain,
aElementOf0(xm,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_892]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_1576,plain,
! [W0_503] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_503),szNzAzT0)
| ~ aElementOf0(W0_503,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_1579,plain,
! [W0_503] :
( aSet0(sdtlpdtrp0(xN,W0_503))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_503,szNzAzT0) ),
inference(resolution,[status(thm)],[c_1576,c_26]) ).
tff(c_1585,plain,
! [W0_503] :
( aSet0(sdtlpdtrp0(xN,W0_503))
| ~ aElementOf0(W0_503,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_1579]) ).
tff(c_494,plain,
aSubsetOf0(sdtlpdtrp0(xN,xn),sdtlpdtrp0(xN,xm)),
inference(cnfTransformation,[status(thm)],[f_896]) ).
tff(c_1348,plain,
! [W1_484,W0_485] :
( aSet0(W1_484)
| ~ aSubsetOf0(W1_484,W0_485)
| ~ aSet0(W0_485) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1379,plain,
( aSet0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_494,c_1348]) ).
tff(c_1628,plain,
~ aSet0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_1379]) ).
tff(c_1631,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_1585,c_1628]) ).
tff(c_1635,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_1631]) ).
tff(c_1636,plain,
aSet0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_1379]) ).
tff(c_16,plain,
isFinite0(slcrc0),
inference(cnfTransformation,[status(thm)],[f_53]) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_500,plain,
xx != xp,
inference(cnfTransformation,[status(thm)],[f_901]) ).
tff(c_376,plain,
! [W0_382] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_490,plain,
szmzizndt0(sdtlpdtrp0(xN,xm)) = xx,
inference(cnfTransformation,[status(thm)],[f_893]) ).
tff(c_1982,plain,
! [W0_525] :
( aElementOf0(szmzizndt0(W0_525),W0_525)
| ( slcrc0 = W0_525 )
| ~ aSubsetOf0(W0_525,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_388]) ).
tff(c_2004,plain,
( aElementOf0(xx,sdtlpdtrp0(xN,xm))
| ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_1982]) ).
tff(c_48441,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitLeft,[status(thm)],[c_2004]) ).
tff(c_48447,plain,
~ aElementOf0(xm,szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_48441]) ).
tff(c_48454,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_488,c_48447]) ).
tff(c_48456,plain,
aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0),
inference(splitRight,[status(thm)],[c_2004]) ).
tff(c_496,plain,
aElementOf0(xx,xQ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_498,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_446,plain,
xQ != slcrc0,
inference(cnfTransformation,[status(thm)],[f_867]) ).
tff(c_450,plain,
aSubsetOf0(xQ,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_868]) ).
tff(c_454,plain,
szmzizndt0(xQ) = xp,
inference(cnfTransformation,[status(thm)],[f_870]) ).
tff(c_21660,plain,
! [W1_1209,W0_1210] :
( ( szmzizndt0(W1_1209) = szmzizndt0(W0_1210) )
| ~ aElementOf0(szmzizndt0(W1_1209),W0_1210)
| ~ aElementOf0(szmzizndt0(W0_1210),W1_1209)
| ( slcrc0 = W1_1209 )
| ( slcrc0 = W0_1210 )
| ~ aSubsetOf0(W1_1209,szNzAzT0)
| ~ aSubsetOf0(W0_1210,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_421]) ).
tff(c_21694,plain,
! [W0_1210] :
( ( szmzizndt0(xQ) = szmzizndt0(W0_1210) )
| ~ aElementOf0(xp,W0_1210)
| ~ aElementOf0(szmzizndt0(W0_1210),xQ)
| ( xQ = slcrc0 )
| ( slcrc0 = W0_1210 )
| ~ aSubsetOf0(xQ,szNzAzT0)
| ~ aSubsetOf0(W0_1210,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_454,c_21660]) ).
tff(c_21713,plain,
! [W0_1210] :
( ( szmzizndt0(W0_1210) = xp )
| ~ aElementOf0(xp,W0_1210)
| ~ aElementOf0(szmzizndt0(W0_1210),xQ)
| ( xQ = slcrc0 )
| ( slcrc0 = W0_1210 )
| ~ aSubsetOf0(W0_1210,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_450,c_454,c_21694]) ).
tff(c_58798,plain,
! [W0_1667] :
( ( szmzizndt0(W0_1667) = xp )
| ~ aElementOf0(xp,W0_1667)
| ~ aElementOf0(szmzizndt0(W0_1667),xQ)
| ( slcrc0 = W0_1667 )
| ~ aSubsetOf0(W0_1667,szNzAzT0) ),
inference(negUnitSimplification,[status(thm)],[c_446,c_21713]) ).
tff(c_58823,plain,
( ( szmzizndt0(sdtlpdtrp0(xN,xm)) = xp )
| ~ aElementOf0(xp,sdtlpdtrp0(xN,xm))
| ~ aElementOf0(xx,xQ)
| ( sdtlpdtrp0(xN,xm) = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,xm),szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_490,c_58798]) ).
tff(c_58844,plain,
( ( xx = xp )
| ( sdtlpdtrp0(xN,xm) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_48456,c_496,c_498,c_490,c_58823]) ).
tff(c_58845,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(negUnitSimplification,[status(thm)],[c_500,c_58844]) ).
tff(c_48455,plain,
( ( sdtlpdtrp0(xN,xm) = slcrc0 )
| aElementOf0(xx,sdtlpdtrp0(xN,xm)) ),
inference(splitRight,[status(thm)],[c_2004]) ).
tff(c_48532,plain,
aElementOf0(xx,sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_48455]) ).
tff(c_58852,plain,
aElementOf0(xx,slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_58845,c_48532]) ).
tff(c_58871,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12,c_58852]) ).
tff(c_58872,plain,
sdtlpdtrp0(xN,xm) = slcrc0,
inference(splitRight,[status(thm)],[c_48455]) ).
tff(c_1637,plain,
aSet0(sdtlpdtrp0(xN,xm)),
inference(splitRight,[status(thm)],[c_1379]) ).
tff(c_1638,plain,
! [W1_507,W0_508] :
( isFinite0(W1_507)
| ~ aSubsetOf0(W1_507,W0_508)
| ~ isFinite0(W0_508)
| ~ aSet0(W0_508) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_1675,plain,
( isFinite0(sdtlpdtrp0(xN,xn))
| ~ isFinite0(sdtlpdtrp0(xN,xm))
| ~ aSet0(sdtlpdtrp0(xN,xm)) ),
inference(resolution,[status(thm)],[c_494,c_1638]) ).
tff(c_35594,plain,
( isFinite0(sdtlpdtrp0(xN,xn))
| ~ isFinite0(sdtlpdtrp0(xN,xm)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1637,c_1675]) ).
tff(c_35595,plain,
~ isFinite0(sdtlpdtrp0(xN,xm)),
inference(splitLeft,[status(thm)],[c_35594]) ).
tff(c_58943,plain,
~ isFinite0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_58872,c_35595]) ).
tff(c_58959,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_58943]) ).
tff(c_58960,plain,
isFinite0(sdtlpdtrp0(xN,xn)),
inference(splitRight,[status(thm)],[c_35594]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_59208,plain,
( ~ isCountable0(sdtlpdtrp0(xN,xn))
| ~ aSet0(sdtlpdtrp0(xN,xn)) ),
inference(resolution,[status(thm)],[c_58960,c_20]) ).
tff(c_59211,plain,
~ isCountable0(sdtlpdtrp0(xN,xn)),
inference(demodulation,[status(thm),theory(equality)],[c_1636,c_59208]) ).
tff(c_59220,plain,
~ aElementOf0(xn,szNzAzT0),
inference(resolution,[status(thm)],[c_374,c_59211]) ).
tff(c_59224,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_474,c_59220]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM623+1 : 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
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Thu Aug 3 15:24:07 EDT 2023
% 0.15/0.36 % CPUTime :
% 32.43/16.84 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 32.43/16.85
% 32.43/16.85 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 32.43/16.89
% 32.43/16.89 Inference rules
% 32.43/16.89 ----------------------
% 32.43/16.89 #Ref : 6
% 32.43/16.89 #Sup : 11349
% 32.43/16.89 #Fact : 4
% 32.43/16.89 #Define : 0
% 32.43/16.89 #Split : 320
% 32.43/16.89 #Chain : 0
% 32.43/16.89 #Close : 0
% 32.43/16.89
% 32.43/16.89 Ordering : KBO
% 32.43/16.89
% 32.43/16.89 Simplification rules
% 32.43/16.89 ----------------------
% 32.43/16.89 #Subsume : 2193
% 32.43/16.89 #Demod : 12092
% 32.43/16.89 #Tautology : 2221
% 32.43/16.89 #SimpNegUnit : 712
% 32.43/16.89 #BackRed : 303
% 32.43/16.89
% 32.43/16.89 #Partial instantiations: 0
% 32.43/16.89 #Strategies tried : 1
% 32.43/16.89
% 32.43/16.89 Timing (in seconds)
% 32.43/16.89 ----------------------
% 32.43/16.89 Preprocessing : 0.85
% 32.43/16.89 Parsing : 0.41
% 32.43/16.89 CNF conversion : 0.09
% 32.43/16.89 Main loop : 14.98
% 32.43/16.89 Inferencing : 3.10
% 32.43/16.89 Reduction : 7.33
% 32.43/16.89 Demodulation : 5.61
% 32.43/16.89 BG Simplification : 0.16
% 32.43/16.89 Subsumption : 3.50
% 32.43/16.89 Abstraction : 0.18
% 32.43/16.89 MUC search : 0.00
% 32.43/16.89 Cooper : 0.00
% 32.43/16.89 Total : 15.89
% 32.43/16.89 Index Insertion : 0.00
% 32.43/16.89 Index Deletion : 0.00
% 32.43/16.89 Index Matching : 0.00
% 32.43/16.89 BG Taut test : 0.00
%------------------------------------------------------------------------------