TSTP Solution File: NUM563+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM563+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 : n007.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 10:52:08 EDT 2023
% Result : Theorem 85.68s 63.63s
% Output : CNFRefutation 85.90s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 80
% Syntax : Number of formulae : 222 ( 70 unt; 68 typ; 3 def)
% Number of atoms : 349 ( 107 equ)
% Maximal formula atoms : 21 ( 2 avg)
% Number of connectives : 344 ( 149 ~; 137 |; 34 &)
% ( 6 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 130 ( 61 >; 69 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 7 con; 0-4 aty)
% Number of variables : 86 (; 82 !; 4 ?; 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 > xc > xT > xS > xK > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_37 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_38 > #skF_4 > #skF_29 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_27 > #skF_36 > #skF_21 > #skF_9 > #skF_22 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_37',type,
'#skF_37': ( $i * $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('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szDzozmdt0,type,
szDzozmdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(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_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(sdtlcdtrc0,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $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_674,hypothesis,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
tff(f_52,definition,
! [W0] :
( ( W0 = slcrc0 )
<=> ( aSet0(W0)
& ~ ? [W1] : aElementOf0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
tff(f_405,definition,
! [W0] :
( ( aSubsetOf0(W0,szNzAzT0)
& isFinite0(W0)
& ( W0 != slcrc0 ) )
=> ! [W1] :
( ( W1 = szmzazxdt0(W0) )
<=> ( aElementOf0(W1,W0)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W2,W1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
tff(f_850,negated_conjecture,
~ ( ( xK = sz00 )
=> ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( ( ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,xS) ) )
| aSubsetOf0(W1,xS) )
& isCountable0(W1)
& ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& ( sbrdtbr0(W2) = xK )
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
=> ( sdtlpdtrp0(xc,W2) = W0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_664,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
tff(f_721,hypothesis,
( aFunction0(xc)
& ! [W0] :
( ( aElementOf0(W0,szDzozmdt0(xc))
=> ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& ( sbrdtbr0(W0) = xK ) ) )
& ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) ) )
| aSubsetOf0(W0,xS) )
& ( sbrdtbr0(W0) = xK ) )
=> aElementOf0(W0,szDzozmdt0(xc)) ) )
& ( szDzozmdt0(xc) = slbdtsldtrb0(xS,xK) )
& aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc)))
& ! [W0] :
( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
<=> ? [W1] :
( aElementOf0(W1,szDzozmdt0(xc))
& ( sdtlpdtrp0(xc,W1) = W0 ) ) )
& ! [W0] :
( aElementOf0(W0,sdtlcdtrc0(xc,szDzozmdt0(xc)))
=> aElementOf0(W0,xT) )
& aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
tff(f_663,hypothesis,
( aSet0(xT)
& isFinite0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
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_507,axiom,
! [W0] :
( ( aSet0(W0)
& ~ isFinite0(W0) )
=> ! [W1] :
( aElementOf0(W1,szNzAzT0)
=> ( slbdtsldtrb0(W0,W1) != slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSelNSet) ).
tff(f_65,axiom,
! [W0] :
( ( aSet0(W0)
& isCountable0(W0) )
=> ~ isFinite0(W0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCountNFin) ).
tff(c_344,plain,
aSet0(xS),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_338,plain,
isCountable0(xS),
inference(cnfTransformation,[status(thm)],[f_674]) ).
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_12334,plain,
sbrdtbr0(slcrc0) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_14,c_154]) ).
tff(c_18741,plain,
! [W0_914] :
( ( slcrc0 = W0_914 )
| aElementOf0('#skF_1'(W0_914),W0_914)
| ~ aSet0(W0_914) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_342,plain,
! [W0_320] :
( aElementOf0(W0_320,szNzAzT0)
| ~ aElementOf0(W0_320,xS) ),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_18764,plain,
( aElementOf0('#skF_1'(xS),szNzAzT0)
| ( xS = slcrc0 )
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_18741,c_342]) ).
tff(c_18782,plain,
( aElementOf0('#skF_1'(xS),szNzAzT0)
| ( xS = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_18764]) ).
tff(c_18791,plain,
xS = slcrc0,
inference(splitLeft,[status(thm)],[c_18782]) ).
tff(c_12475,plain,
! [W0_623] :
( ( slcrc0 = W0_623 )
| ( sbrdtbr0(W0_623) != sz00 )
| ~ aSet0(W0_623) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_12509,plain,
( ( xS = slcrc0 )
| ( sbrdtbr0(xS) != sz00 ) ),
inference(resolution,[status(thm)],[c_344,c_12475]) ).
tff(c_18685,plain,
sbrdtbr0(xS) != sz00,
inference(splitLeft,[status(thm)],[c_12509]) ).
tff(c_18792,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_18791,c_18685]) ).
tff(c_18801,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12334,c_18792]) ).
tff(c_18803,plain,
xS != slcrc0,
inference(splitRight,[status(thm)],[c_18782]) ).
tff(c_340,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_21134,plain,
! [W0_1099] :
( aElementOf0(szmzazxdt0(W0_1099),W0_1099)
| ( slcrc0 = W0_1099 )
| ~ isFinite0(W0_1099)
| ~ aSubsetOf0(W0_1099,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_405]) ).
tff(c_21161,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ( xS = slcrc0 )
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(resolution,[status(thm)],[c_21134,c_342]) ).
tff(c_21184,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ( xS = slcrc0 )
| ~ isFinite0(xS) ),
inference(demodulation,[status(thm),theory(equality)],[c_340,c_21161]) ).
tff(c_21185,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ~ isFinite0(xS) ),
inference(negUnitSimplification,[status(thm)],[c_18803,c_21184]) ).
tff(c_21194,plain,
~ isFinite0(xS),
inference(splitLeft,[status(thm)],[c_21185]) ).
tff(c_8314,plain,
xK = sz00,
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_336,plain,
aElementOf0(xK,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_12331,plain,
aElementOf0(sz00,szNzAzT0),
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_336]) ).
tff(c_12,plain,
! [W1_10] : ~ aElementOf0(W1_10,slcrc0),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_352,plain,
aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_10,plain,
! [W0_7] :
( ( slcrc0 = W0_7 )
| aElementOf0('#skF_1'(W0_7),W0_7)
| ~ aSet0(W0_7) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_334,plain,
aSet0(xT),
inference(cnfTransformation,[status(thm)],[f_663]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_354,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_12330,plain,
slbdtsldtrb0(xS,sz00) = szDzozmdt0(xc),
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_354]) ).
tff(c_12940,plain,
! [W0_656,W1_657] :
( aSet0(slbdtsldtrb0(W0_656,W1_657))
| ~ aElementOf0(W1_657,szNzAzT0)
| ~ aSet0(W0_656) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_12946,plain,
( aSet0(szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_12330,c_12940]) ).
tff(c_12949,plain,
aSet0(szDzozmdt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_12331,c_12946]) ).
tff(c_12601,plain,
! [W0_638] :
( ( slcrc0 = W0_638 )
| aElementOf0('#skF_1'(W0_638),W0_638)
| ~ aSet0(W0_638) ),
inference(cnfTransformation,[status(thm)],[f_52]) ).
tff(c_368,plain,
! [W0_326] :
( aSet0(W0_326)
| ~ aElementOf0(W0_326,szDzozmdt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_12644,plain,
( aSet0('#skF_1'(szDzozmdt0(xc)))
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_12601,c_368]) ).
tff(c_13735,plain,
( aSet0('#skF_1'(szDzozmdt0(xc)))
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12949,c_12644]) ).
tff(c_13736,plain,
szDzozmdt0(xc) = slcrc0,
inference(splitLeft,[status(thm)],[c_13735]) ).
tff(c_156,plain,
! [W0_98] :
( ( slcrc0 = W0_98 )
| ( sbrdtbr0(W0_98) != sz00 )
| ~ aSet0(W0_98) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_12972,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| ( sbrdtbr0(szDzozmdt0(xc)) != sz00 ) ),
inference(resolution,[status(thm)],[c_12949,c_156]) ).
tff(c_12973,plain,
sbrdtbr0(szDzozmdt0(xc)) != sz00,
inference(splitLeft,[status(thm)],[c_12972]) ).
tff(c_13771,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_13736,c_12973]) ).
tff(c_13784,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12334,c_13771]) ).
tff(c_13786,plain,
szDzozmdt0(xc) != slcrc0,
inference(splitRight,[status(thm)],[c_13735]) ).
tff(c_13785,plain,
aSet0('#skF_1'(szDzozmdt0(xc))),
inference(splitRight,[status(thm)],[c_13735]) ).
tff(c_13790,plain,
( ( '#skF_1'(szDzozmdt0(xc)) = slcrc0 )
| ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) != sz00 ) ),
inference(resolution,[status(thm)],[c_13785,c_156]) ).
tff(c_13854,plain,
sbrdtbr0('#skF_1'(szDzozmdt0(xc))) != sz00,
inference(splitLeft,[status(thm)],[c_13790]) ).
tff(c_362,plain,
! [W0_326] :
( ( sbrdtbr0(W0_326) = xK )
| ~ aElementOf0(W0_326,szDzozmdt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_12329,plain,
! [W0_326] :
( ( sbrdtbr0(W0_326) = sz00 )
| ~ aElementOf0(W0_326,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_362]) ).
tff(c_12639,plain,
( ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_12601,c_12329]) ).
tff(c_15328,plain,
( ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12949,c_12639]) ).
tff(c_15329,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13786,c_13854,c_15328]) ).
tff(c_15330,plain,
'#skF_1'(szDzozmdt0(xc)) = slcrc0,
inference(splitRight,[status(thm)],[c_13790]) ).
tff(c_15340,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(superposition,[status(thm),theory(equality)],[c_15330,c_10]) ).
tff(c_15347,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_12949,c_15340]) ).
tff(c_15348,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(negUnitSimplification,[status(thm)],[c_13786,c_15347]) ).
tff(c_17803,plain,
! [W1_863] :
( aElementOf0(sdtlpdtrp0(xc,W1_863),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(W1_863,szDzozmdt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_348,plain,
! [W0_321] :
( aElementOf0(W0_321,xT)
| ~ aElementOf0(W0_321,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_17840,plain,
! [W1_863] :
( aElementOf0(sdtlpdtrp0(xc,W1_863),xT)
| ~ aElementOf0(W1_863,szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_17803,c_348]) ).
tff(c_17934,plain,
! [W1_865] :
( aElementOf0(sdtlpdtrp0(xc,W1_865),xT)
| ~ aElementOf0(W1_865,szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_17803,c_348]) ).
tff(c_8332,plain,
! [W0_573,W1_583] :
( aElementOf0('#skF_37'(W0_573,W1_583),W1_583)
| ~ aSet0(W1_583)
| ( sbrdtbr0('#skF_38'(W0_573,W1_583)) = xK )
| ~ isCountable0(W1_583)
| ~ aElementOf0(W0_573,xT) ),
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_8352,plain,
! [W0_573,W1_583] :
( aElementOf0('#skF_37'(W0_573,W1_583),W1_583)
| ~ aSet0(W1_583)
| ( sbrdtbr0('#skF_38'(W0_573,W1_583)) = sz00 )
| ~ isCountable0(W1_583)
| ~ aElementOf0(W0_573,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_8332]) ).
tff(c_8330,plain,
! [W0_573,W1_583] :
( ~ aElementOf0('#skF_37'(W0_573,W1_583),xS)
| ~ aSet0(W1_583)
| ( sbrdtbr0('#skF_38'(W0_573,W1_583)) = xK )
| ~ isCountable0(W1_583)
| ~ aElementOf0(W0_573,xT) ),
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_13791,plain,
! [W0_729,W1_730] :
( ~ aElementOf0('#skF_37'(W0_729,W1_730),xS)
| ~ aSet0(W1_730)
| ( sbrdtbr0('#skF_38'(W0_729,W1_730)) = sz00 )
| ~ isCountable0(W1_730)
| ~ aElementOf0(W0_729,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_8330]) ).
tff(c_13795,plain,
! [W0_573] :
( ~ aSet0(xS)
| ( sbrdtbr0('#skF_38'(W0_573,xS)) = sz00 )
| ~ isCountable0(xS)
| ~ aElementOf0(W0_573,xT) ),
inference(resolution,[status(thm)],[c_8352,c_13791]) ).
tff(c_13806,plain,
! [W0_573] :
( ( sbrdtbr0('#skF_38'(W0_573,xS)) = sz00 )
| ~ aElementOf0(W0_573,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_344,c_13795]) ).
tff(c_8346,plain,
! [W1_583,W0_573] :
( ~ aSubsetOf0(W1_583,xS)
| aSet0('#skF_38'(W0_573,W1_583))
| ~ isCountable0(W1_583)
| ~ aElementOf0(W0_573,xT) ),
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_15606,plain,
! [W0_793,W1_794] :
( ( '#skF_38'(W0_793,W1_794) = slcrc0 )
| ( sbrdtbr0('#skF_38'(W0_793,W1_794)) != sz00 )
| ~ aSubsetOf0(W1_794,xS)
| ~ isCountable0(W1_794)
| ~ aElementOf0(W0_793,xT) ),
inference(resolution,[status(thm)],[c_8346,c_12475]) ).
tff(c_15609,plain,
! [W0_573] :
( ( '#skF_38'(W0_573,xS) = slcrc0 )
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| ~ aElementOf0(W0_573,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_13806,c_15606]) ).
tff(c_15615,plain,
! [W0_573] :
( ( '#skF_38'(W0_573,xS) = slcrc0 )
| ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_573,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_15609]) ).
tff(c_15927,plain,
~ aSubsetOf0(xS,xS),
inference(splitLeft,[status(thm)],[c_15615]) ).
tff(c_15930,plain,
~ aSet0(xS),
inference(resolution,[status(thm)],[c_34,c_15927]) ).
tff(c_15934,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_344,c_15930]) ).
tff(c_15935,plain,
! [W0_573] :
( ( '#skF_38'(W0_573,xS) = slcrc0 )
| ~ aElementOf0(W0_573,xT) ),
inference(splitRight,[status(thm)],[c_15615]) ).
tff(c_18011,plain,
! [W1_870] :
( ( '#skF_38'(sdtlpdtrp0(xc,W1_870),xS) = slcrc0 )
| ~ aElementOf0(W1_870,szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_17934,c_15935]) ).
tff(c_18083,plain,
'#skF_38'(sdtlpdtrp0(xc,slcrc0),xS) = slcrc0,
inference(resolution,[status(thm)],[c_15348,c_18011]) ).
tff(c_8320,plain,
! [W0_573,W1_583] :
( aElementOf0('#skF_37'(W0_573,W1_583),W1_583)
| ~ aSet0(W1_583)
| ( sdtlpdtrp0(xc,'#skF_38'(W0_573,W1_583)) != W0_573 )
| ~ isCountable0(W1_583)
| ~ aElementOf0(W0_573,xT) ),
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_12974,plain,
! [W0_659,W1_660] :
( ~ aElementOf0('#skF_37'(W0_659,W1_660),xS)
| ~ aSet0(W1_660)
| ( sdtlpdtrp0(xc,'#skF_38'(W0_659,W1_660)) != W0_659 )
| ~ isCountable0(W1_660)
| ~ aElementOf0(W0_659,xT) ),
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_12978,plain,
! [W0_573] :
( ~ aSet0(xS)
| ( sdtlpdtrp0(xc,'#skF_38'(W0_573,xS)) != W0_573 )
| ~ isCountable0(xS)
| ~ aElementOf0(W0_573,xT) ),
inference(resolution,[status(thm)],[c_8320,c_12974]) ).
tff(c_12985,plain,
! [W0_573] :
( ( sdtlpdtrp0(xc,'#skF_38'(W0_573,xS)) != W0_573 )
| ~ aElementOf0(W0_573,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_344,c_12978]) ).
tff(c_18163,plain,
~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT),
inference(superposition,[status(thm),theory(equality)],[c_18083,c_12985]) ).
tff(c_18216,plain,
~ aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(resolution,[status(thm)],[c_17840,c_18163]) ).
tff(c_18220,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_15348,c_18216]) ).
tff(c_18221,plain,
szDzozmdt0(xc) = slcrc0,
inference(splitRight,[status(thm)],[c_12972]) ).
tff(c_18230,plain,
slbdtsldtrb0(xS,sz00) = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_18221,c_12330]) ).
tff(c_8322,plain,
! [W1_583,W0_573] :
( ~ aSubsetOf0(W1_583,xS)
| aElementOf0('#skF_38'(W0_573,W1_583),slbdtsldtrb0(W1_583,xK))
| ~ isCountable0(W1_583)
| ~ aElementOf0(W0_573,xT) ),
inference(cnfTransformation,[status(thm)],[f_850]) ).
tff(c_18618,plain,
! [W1_903,W0_904] :
( ~ aSubsetOf0(W1_903,xS)
| aElementOf0('#skF_38'(W0_904,W1_903),slbdtsldtrb0(W1_903,sz00))
| ~ isCountable0(W1_903)
| ~ aElementOf0(W0_904,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_8314,c_8322]) ).
tff(c_18624,plain,
! [W0_904] :
( ~ aSubsetOf0(xS,xS)
| aElementOf0('#skF_38'(W0_904,xS),slcrc0)
| ~ isCountable0(xS)
| ~ aElementOf0(W0_904,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_18230,c_18618]) ).
tff(c_18627,plain,
! [W0_904] :
( ~ aSubsetOf0(xS,xS)
| aElementOf0('#skF_38'(W0_904,xS),slcrc0)
| ~ aElementOf0(W0_904,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_338,c_18624]) ).
tff(c_18628,plain,
! [W0_904] :
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(W0_904,xT) ),
inference(negUnitSimplification,[status(thm)],[c_12,c_18627]) ).
tff(c_18629,plain,
~ aSubsetOf0(xS,xS),
inference(splitLeft,[status(thm)],[c_18628]) ).
tff(c_18632,plain,
~ aSet0(xS),
inference(resolution,[status(thm)],[c_34,c_18629]) ).
tff(c_18636,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_344,c_18632]) ).
tff(c_18640,plain,
! [W0_905] : ~ aElementOf0(W0_905,xT),
inference(splitRight,[status(thm)],[c_18628]) ).
tff(c_18648,plain,
( ( xT = slcrc0 )
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_10,c_18640]) ).
tff(c_18652,plain,
xT = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_334,c_18648]) ).
tff(c_12508,plain,
( ( xT = slcrc0 )
| ( sbrdtbr0(xT) != sz00 ) ),
inference(resolution,[status(thm)],[c_334,c_12475]) ).
tff(c_12512,plain,
sbrdtbr0(xT) != sz00,
inference(splitLeft,[status(thm)],[c_12508]) ).
tff(c_18655,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_18652,c_12512]) ).
tff(c_18661,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12334,c_18655]) ).
tff(c_18662,plain,
xT = slcrc0,
inference(splitRight,[status(thm)],[c_12508]) ).
tff(c_18998,plain,
! [W0_321] :
( aElementOf0(W0_321,slcrc0)
| ~ aElementOf0(W0_321,sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(demodulation,[status(thm),theory(equality)],[c_18662,c_348]) ).
tff(c_19000,plain,
! [W0_924] : ~ aElementOf0(W0_924,sdtlcdtrc0(xc,szDzozmdt0(xc))),
inference(negUnitSimplification,[status(thm)],[c_12,c_18998]) ).
tff(c_19008,plain,
( ( sdtlcdtrc0(xc,szDzozmdt0(xc)) = slcrc0 )
| ~ aSet0(sdtlcdtrc0(xc,szDzozmdt0(xc))) ),
inference(resolution,[status(thm)],[c_10,c_19000]) ).
tff(c_19012,plain,
sdtlcdtrc0(xc,szDzozmdt0(xc)) = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_352,c_19008]) ).
tff(c_350,plain,
! [W1_325] :
( aElementOf0(sdtlpdtrp0(xc,W1_325),sdtlcdtrc0(xc,szDzozmdt0(xc)))
| ~ aElementOf0(W1_325,szDzozmdt0(xc)) ),
inference(cnfTransformation,[status(thm)],[f_721]) ).
tff(c_20556,plain,
! [W1_325] :
( aElementOf0(sdtlpdtrp0(xc,W1_325),slcrc0)
| ~ aElementOf0(W1_325,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_19012,c_350]) ).
tff(c_20557,plain,
! [W1_325] : ~ aElementOf0(W1_325,szDzozmdt0(xc)),
inference(negUnitSimplification,[status(thm)],[c_12,c_20556]) ).
tff(c_18828,plain,
! [W0_919,W1_920] :
( aSet0(slbdtsldtrb0(W0_919,W1_920))
| ~ aElementOf0(W1_920,szNzAzT0)
| ~ aSet0(W0_919) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_18834,plain,
( aSet0(szDzozmdt0(xc))
| ~ aElementOf0(sz00,szNzAzT0)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_12330,c_18828]) ).
tff(c_18837,plain,
aSet0(szDzozmdt0(xc)),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_12331,c_18834]) ).
tff(c_18779,plain,
( aSet0('#skF_1'(szDzozmdt0(xc)))
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_18741,c_368]) ).
tff(c_19414,plain,
( aSet0('#skF_1'(szDzozmdt0(xc)))
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18837,c_18779]) ).
tff(c_19415,plain,
szDzozmdt0(xc) = slcrc0,
inference(splitLeft,[status(thm)],[c_19414]) ).
tff(c_18841,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| ( sbrdtbr0(szDzozmdt0(xc)) != sz00 ) ),
inference(resolution,[status(thm)],[c_18837,c_156]) ).
tff(c_18842,plain,
sbrdtbr0(szDzozmdt0(xc)) != sz00,
inference(splitLeft,[status(thm)],[c_18841]) ).
tff(c_19420,plain,
sbrdtbr0(slcrc0) != sz00,
inference(demodulation,[status(thm),theory(equality)],[c_19415,c_18842]) ).
tff(c_19429,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12334,c_19420]) ).
tff(c_19431,plain,
szDzozmdt0(xc) != slcrc0,
inference(splitRight,[status(thm)],[c_19414]) ).
tff(c_19430,plain,
aSet0('#skF_1'(szDzozmdt0(xc))),
inference(splitRight,[status(thm)],[c_19414]) ).
tff(c_19436,plain,
( ( '#skF_1'(szDzozmdt0(xc)) = slcrc0 )
| ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) != sz00 ) ),
inference(resolution,[status(thm)],[c_19430,c_156]) ).
tff(c_19437,plain,
sbrdtbr0('#skF_1'(szDzozmdt0(xc))) != sz00,
inference(splitLeft,[status(thm)],[c_19436]) ).
tff(c_18774,plain,
( ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 )
| ~ aSet0(szDzozmdt0(xc)) ),
inference(resolution,[status(thm)],[c_18741,c_12329]) ).
tff(c_19876,plain,
( ( sbrdtbr0('#skF_1'(szDzozmdt0(xc))) = sz00 )
| ( szDzozmdt0(xc) = slcrc0 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_18837,c_18774]) ).
tff(c_19877,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_19431,c_19437,c_19876]) ).
tff(c_19878,plain,
'#skF_1'(szDzozmdt0(xc)) = slcrc0,
inference(splitRight,[status(thm)],[c_19436]) ).
tff(c_19888,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSet0(szDzozmdt0(xc)) ),
inference(superposition,[status(thm),theory(equality)],[c_19878,c_10]) ).
tff(c_19895,plain,
( ( szDzozmdt0(xc) = slcrc0 )
| aElementOf0(slcrc0,szDzozmdt0(xc)) ),
inference(demodulation,[status(thm),theory(equality)],[c_18837,c_19888]) ).
tff(c_19896,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(negUnitSimplification,[status(thm)],[c_19431,c_19895]) ).
tff(c_20560,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_20557,c_19896]) ).
tff(c_20561,plain,
szDzozmdt0(xc) = slcrc0,
inference(splitRight,[status(thm)],[c_18841]) ).
tff(c_20569,plain,
slbdtsldtrb0(xS,sz00) = slcrc0,
inference(demodulation,[status(thm),theory(equality)],[c_20561,c_12330]) ).
tff(c_21538,plain,
! [W0_1116,W1_1117] :
( ( slbdtsldtrb0(W0_1116,W1_1117) != slcrc0 )
| ~ aElementOf0(W1_1117,szNzAzT0)
| isFinite0(W0_1116)
| ~ aSet0(W0_1116) ),
inference(cnfTransformation,[status(thm)],[f_507]) ).
tff(c_21540,plain,
( ~ aElementOf0(sz00,szNzAzT0)
| isFinite0(xS)
| ~ aSet0(xS) ),
inference(superposition,[status(thm),theory(equality)],[c_20569,c_21538]) ).
tff(c_21543,plain,
isFinite0(xS),
inference(demodulation,[status(thm),theory(equality)],[c_344,c_12331,c_21540]) ).
tff(c_21545,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21194,c_21543]) ).
tff(c_21547,plain,
isFinite0(xS),
inference(splitRight,[status(thm)],[c_21185]) ).
tff(c_20,plain,
! [W0_12] :
( ~ isFinite0(W0_12)
| ~ isCountable0(W0_12)
| ~ aSet0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_65]) ).
tff(c_21551,plain,
( ~ isCountable0(xS)
| ~ aSet0(xS) ),
inference(resolution,[status(thm)],[c_21547,c_20]) ).
tff(c_21555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_344,c_338,c_21551]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM563+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.17/0.36 % Computer : n007.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 14:45:39 EDT 2023
% 0.17/0.36 % CPUTime :
% 85.68/63.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 85.68/63.65
% 85.68/63.65 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 85.90/63.69
% 85.90/63.69 Inference rules
% 85.90/63.69 ----------------------
% 85.90/63.69 #Ref : 1
% 85.90/63.69 #Sup : 1659
% 85.90/63.69 #Fact : 0
% 85.90/63.69 #Define : 0
% 85.90/63.69 #Split : 72
% 85.90/63.69 #Chain : 0
% 85.90/63.69 #Close : 0
% 85.90/63.69
% 85.90/63.69 Ordering : KBO
% 85.90/63.69
% 85.90/63.69 Simplification rules
% 85.90/63.69 ----------------------
% 85.90/63.69 #Subsume : 1075
% 85.90/63.69 #Demod : 5488
% 85.90/63.69 #Tautology : 389
% 85.90/63.69 #SimpNegUnit : 111
% 85.90/63.69 #BackRed : 228
% 85.90/63.69
% 85.90/63.69 #Partial instantiations: 0
% 85.90/63.69 #Strategies tried : 1
% 85.90/63.69
% 85.90/63.69 Timing (in seconds)
% 85.90/63.69 ----------------------
% 85.90/63.69 Preprocessing : 2.04
% 85.90/63.69 Parsing : 0.41
% 85.90/63.69 CNF conversion : 0.17
% 85.90/63.69 Main loop : 60.56
% 85.90/63.69 Inferencing : 0.53
% 85.90/63.69 Reduction : 45.59
% 85.90/63.69 Demodulation : 39.83
% 85.90/63.69 BG Simplification : 0.75
% 85.90/63.69 Subsumption : 11.60
% 85.90/63.69 Abstraction : 0.60
% 85.90/63.69 MUC search : 0.00
% 85.90/63.69 Cooper : 0.00
% 85.90/63.69 Total : 62.68
% 85.90/63.69 Index Insertion : 0.00
% 85.90/63.69 Index Deletion : 0.00
% 85.90/63.69 Index Matching : 0.00
% 85.90/63.69 BG Taut test : 0.00
%------------------------------------------------------------------------------