TSTP Solution File: NUM588+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM588+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 : n010.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 10:52:14 EDT 2023
% Result : Theorem 12.53s 3.93s
% Output : CNFRefutation 12.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 76
% Syntax : Number of formulae : 140 ( 32 unt; 63 typ; 5 def)
% Number of atoms : 182 ( 28 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 184 ( 79 ~; 61 |; 20 &)
% ( 8 <=>; 16 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 54 ( 54 usr; 13 con; 0-4 aty)
% Number of variables : 58 (; 57 !; 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 > xc > xT > xS > xN > xK > xC > 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_30 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_29 > #skF_28 > #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(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(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_30',type,
'#skF_30': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(sdtlcdtrc0,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $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_793,negated_conjecture,
~ ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ! [W1] :
( ( aSubsetOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(W1) )
=> ! [W2] :
( ( aSet0(W2)
& aElementOf0(W2,slbdtsldtrb0(W1,xk)) )
=> aElementOf0(W2,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
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_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
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_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_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_708,hypothesis,
( aElementOf0(xk,szNzAzT0)
& ( szszuzczcdt0(xk) = xK ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3533) ).
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_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(c_400,plain,
aSet0('#skF_30'),
inference(cnfTransformation,[status(thm)],[f_793]) ).
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_411,plain,
~ isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_14,c_22]) ).
tff(c_406,plain,
aElementOf0('#skF_28',szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_154,plain,
( ( sbrdtbr0(slcrc0) = sz00 )
| ~ aSet0(slcrc0) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_409,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_376,plain,
! [W0_382] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_382),szNzAzT0)
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_108,plain,
aSet0(szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_211]) ).
tff(c_2149,plain,
! [W0_553] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_553),szNzAzT0)
| ~ aElementOf0(W0_553,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_2152,plain,
! [W0_553] :
( aSet0(sdtlpdtrp0(xN,W0_553))
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(W0_553,szNzAzT0) ),
inference(resolution,[status(thm)],[c_2149,c_26]) ).
tff(c_2158,plain,
! [W0_553] :
( aSet0(sdtlpdtrp0(xN,W0_553))
| ~ aElementOf0(W0_553,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_108,c_2152]) ).
tff(c_2121,plain,
! [W0_548,W1_549] :
( aSet0(sdtmndt0(W0_548,W1_549))
| ~ aElement0(W1_549)
| ~ aSet0(W0_548) ),
inference(cnfTransformation,[status(thm)],[f_156]) ).
tff(c_404,plain,
aSubsetOf0('#skF_29',sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_641,plain,
! [W1_417,W0_418] :
( aSet0(W1_417)
| ~ aSubsetOf0(W1_417,W0_418)
| ~ aSet0(W0_418) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_657,plain,
( aSet0('#skF_29')
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))) ),
inference(resolution,[status(thm)],[c_404,c_641]) ).
tff(c_2029,plain,
~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))),
inference(splitLeft,[status(thm)],[c_657]) ).
tff(c_2128,plain,
( ~ aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))
| ~ aSet0(sdtlpdtrp0(xN,'#skF_28')) ),
inference(resolution,[status(thm)],[c_2121,c_2029]) ).
tff(c_2266,plain,
~ aSet0(sdtlpdtrp0(xN,'#skF_28')),
inference(splitLeft,[status(thm)],[c_2128]) ).
tff(c_2269,plain,
~ aElementOf0('#skF_28',szNzAzT0),
inference(resolution,[status(thm)],[c_2158,c_2266]) ).
tff(c_2273,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406,c_2269]) ).
tff(c_2275,plain,
aSet0(sdtlpdtrp0(xN,'#skF_28')),
inference(splitRight,[status(thm)],[c_2128]) ).
tff(c_2377,plain,
! [W0_566] :
( aElementOf0(szmzizndt0(W0_566),W0_566)
| ( slcrc0 = W0_566 )
| ~ aSubsetOf0(W0_566,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_2776,plain,
! [W0_617] :
( aElement0(szmzizndt0(W0_617))
| ~ aSet0(W0_617)
| ( slcrc0 = W0_617 )
| ~ aSubsetOf0(W0_617,szNzAzT0) ),
inference(resolution,[status(thm)],[c_2377,c_6]) ).
tff(c_2274,plain,
~ aElement0(szmzizndt0(sdtlpdtrp0(xN,'#skF_28'))),
inference(splitRight,[status(thm)],[c_2128]) ).
tff(c_2779,plain,
( ~ aSet0(sdtlpdtrp0(xN,'#skF_28'))
| ( sdtlpdtrp0(xN,'#skF_28') = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_28'),szNzAzT0) ),
inference(resolution,[status(thm)],[c_2776,c_2274]) ).
tff(c_2782,plain,
( ( sdtlpdtrp0(xN,'#skF_28') = slcrc0 )
| ~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_28'),szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_2275,c_2779]) ).
tff(c_2783,plain,
~ aSubsetOf0(sdtlpdtrp0(xN,'#skF_28'),szNzAzT0),
inference(splitLeft,[status(thm)],[c_2782]) ).
tff(c_2786,plain,
~ aElementOf0('#skF_28',szNzAzT0),
inference(resolution,[status(thm)],[c_376,c_2783]) ).
tff(c_2790,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_406,c_2786]) ).
tff(c_2791,plain,
sdtlpdtrp0(xN,'#skF_28') = slcrc0,
inference(splitRight,[status(thm)],[c_2782]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_2279,plain,
( ( sdtlpdtrp0(xN,'#skF_28') = slcrc0 )
| ( sbrdtbr0(sdtlpdtrp0(xN,'#skF_28')) != sz00 ) ),
inference(resolution,[status(thm)],[c_2275,c_156]) ).
tff(c_2343,plain,
sbrdtbr0(sdtlpdtrp0(xN,'#skF_28')) != sz00,
inference(splitLeft,[status(thm)],[c_2279]) ).
tff(c_2809,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_2791,c_2343]) ).
tff(c_2817,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_409,c_2809]) ).
tff(c_2818,plain,
sdtlpdtrp0(xN,'#skF_28') = slcrc0,
inference(splitRight,[status(thm)],[c_2279]) ).
tff(c_374,plain,
! [W0_382] :
( isCountable0(sdtlpdtrp0(xN,W0_382))
| ~ aElementOf0(W0_382,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_730]) ).
tff(c_2835,plain,
( isCountable0(slcrc0)
| ~ aElementOf0('#skF_28',szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_2818,c_374]) ).
tff(c_2843,plain,
isCountable0(slcrc0),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_2835]) ).
tff(c_2845,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_411,c_2843]) ).
tff(c_2846,plain,
aSet0('#skF_29'),
inference(splitRight,[status(thm)],[c_657]) ).
tff(c_362,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_708]) ).
tff(c_398,plain,
aElementOf0('#skF_30',slbdtsldtrb0('#skF_29',xk)),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_5341,plain,
! [W3_790,W0_791,W1_792] :
( aSubsetOf0(W3_790,W0_791)
| ~ aElementOf0(W3_790,slbdtsldtrb0(W0_791,W1_792))
| ~ aElementOf0(W1_792,szNzAzT0)
| ~ aSet0(W0_791) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_5363,plain,
( aSubsetOf0('#skF_30','#skF_29')
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0('#skF_29') ),
inference(resolution,[status(thm)],[c_398,c_5341]) ).
tff(c_5372,plain,
aSubsetOf0('#skF_30','#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_2846,c_362,c_5363]) ).
tff(c_2847,plain,
aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))),
inference(splitRight,[status(thm)],[c_657]) ).
tff(c_7805,plain,
! [W0_898,W2_899,W1_900] :
( aSubsetOf0(W0_898,W2_899)
| ~ aSubsetOf0(W1_900,W2_899)
| ~ aSubsetOf0(W0_898,W1_900)
| ~ aSet0(W2_899)
| ~ aSet0(W1_900)
| ~ aSet0(W0_898) ),
inference(cnfTransformation,[status(thm)],[f_119]) ).
tff(c_7849,plain,
! [W0_898] :
( aSubsetOf0(W0_898,sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28'))))
| ~ aSubsetOf0(W0_898,'#skF_29')
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28'))))
| ~ aSet0('#skF_29')
| ~ aSet0(W0_898) ),
inference(resolution,[status(thm)],[c_404,c_7805]) ).
tff(c_7994,plain,
! [W0_902] :
( aSubsetOf0(W0_902,sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28'))))
| ~ aSubsetOf0(W0_902,'#skF_29')
| ~ aSet0(W0_902) ),
inference(demodulation,[status(thm),theory(equality)],[c_2846,c_2847,c_7849]) ).
tff(c_5490,plain,
! [W3_797,W1_798,W0_799] :
( ( sbrdtbr0(W3_797) = W1_798 )
| ~ aElementOf0(W3_797,slbdtsldtrb0(W0_799,W1_798))
| ~ aElementOf0(W1_798,szNzAzT0)
| ~ aSet0(W0_799) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_5512,plain,
( ( sbrdtbr0('#skF_30') = xk )
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0('#skF_29') ),
inference(resolution,[status(thm)],[c_398,c_5490]) ).
tff(c_5521,plain,
sbrdtbr0('#skF_30') = xk,
inference(demodulation,[status(thm),theory(equality)],[c_2846,c_362,c_5512]) ).
tff(c_7650,plain,
! [W3_889,W0_890] :
( aElementOf0(W3_889,slbdtsldtrb0(W0_890,sbrdtbr0(W3_889)))
| ~ aSubsetOf0(W3_889,W0_890)
| ~ aElementOf0(sbrdtbr0(W3_889),szNzAzT0)
| ~ aSet0(W0_890) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_7667,plain,
! [W0_890] :
( aElementOf0('#skF_30',slbdtsldtrb0(W0_890,xk))
| ~ aSubsetOf0('#skF_30',W0_890)
| ~ aElementOf0(sbrdtbr0('#skF_30'),szNzAzT0)
| ~ aSet0(W0_890) ),
inference(superposition,[status(thm),theory(equality)],[c_5521,c_7650]) ).
tff(c_7705,plain,
! [W0_892] :
( aElementOf0('#skF_30',slbdtsldtrb0(W0_892,xk))
| ~ aSubsetOf0('#skF_30',W0_892)
| ~ aSet0(W0_892) ),
inference(demodulation,[status(thm),theory(equality)],[c_362,c_5521,c_7667]) ).
tff(c_396,plain,
~ aElementOf0('#skF_30',slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28'))),xk)),
inference(cnfTransformation,[status(thm)],[f_793]) ).
tff(c_7719,plain,
( ~ aSubsetOf0('#skF_30',sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28'))))
| ~ aSet0(sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))) ),
inference(resolution,[status(thm)],[c_7705,c_396]) ).
tff(c_7731,plain,
~ aSubsetOf0('#skF_30',sdtmndt0(sdtlpdtrp0(xN,'#skF_28'),szmzizndt0(sdtlpdtrp0(xN,'#skF_28')))),
inference(demodulation,[status(thm),theory(equality)],[c_2847,c_7719]) ).
tff(c_8003,plain,
( ~ aSubsetOf0('#skF_30','#skF_29')
| ~ aSet0('#skF_30') ),
inference(resolution,[status(thm)],[c_7994,c_7731]) ).
tff(c_8049,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_5372,c_8003]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM588+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
% 0.14/0.35 % Computer : n010.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 15:11:29 EDT 2023
% 0.14/0.36 % CPUTime :
% 12.53/3.93 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 12.53/3.94
% 12.53/3.94 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.64/3.97
% 12.64/3.98 Inference rules
% 12.64/3.98 ----------------------
% 12.64/3.98 #Ref : 1
% 12.64/3.98 #Sup : 1462
% 12.64/3.98 #Fact : 0
% 12.64/3.98 #Define : 0
% 12.64/3.98 #Split : 95
% 12.64/3.98 #Chain : 0
% 12.64/3.98 #Close : 0
% 12.64/3.98
% 12.64/3.98 Ordering : KBO
% 12.64/3.98
% 12.64/3.98 Simplification rules
% 12.64/3.98 ----------------------
% 12.64/3.98 #Subsume : 300
% 12.64/3.98 #Demod : 1345
% 12.64/3.98 #Tautology : 374
% 12.64/3.98 #SimpNegUnit : 86
% 12.64/3.98 #BackRed : 169
% 12.64/3.98
% 12.64/3.98 #Partial instantiations: 0
% 12.64/3.98 #Strategies tried : 1
% 12.64/3.98
% 12.64/3.98 Timing (in seconds)
% 12.64/3.98 ----------------------
% 12.64/3.98 Preprocessing : 0.87
% 12.64/3.98 Parsing : 0.42
% 12.64/3.98 CNF conversion : 0.09
% 12.64/3.98 Main loop : 2.01
% 12.64/3.98 Inferencing : 0.65
% 12.64/3.98 Reduction : 0.73
% 12.64/3.98 Demodulation : 0.48
% 12.64/3.98 BG Simplification : 0.09
% 12.64/3.98 Subsumption : 0.42
% 12.64/3.98 Abstraction : 0.05
% 12.64/3.98 MUC search : 0.00
% 12.64/3.98 Cooper : 0.00
% 12.64/3.98 Total : 2.94
% 12.64/3.98 Index Insertion : 0.00
% 12.64/3.98 Index Deletion : 0.00
% 12.64/3.98 Index Matching : 0.00
% 12.64/3.98 BG Taut test : 0.00
%------------------------------------------------------------------------------