TSTP Solution File: NUM448+5 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM448+5 : 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 10:51:42 EDT 2023
% Result : Theorem 30.90s 15.97s
% Output : CNFRefutation 31.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 58
% Syntax : Number of formulae : 202 ( 74 unt; 53 typ; 0 def)
% Number of atoms : 325 ( 70 equ)
% Maximal formula atoms : 38 ( 2 avg)
% Number of connectives : 295 ( 119 ~; 111 |; 46 &)
% ( 4 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 80 ( 45 >; 35 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 43 ( 43 usr; 8 con; 0-3 aty)
% Number of variables : 57 (; 43 !; 14 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aSubsetOf0 > aElementOf0 > aDivisorOf0 > isPrime0 > isOpen0 > isFinite0 > isClosed0 > aSet0 > aInteger0 > szAzrzSzezqlpdtcmdtrp0 > sdtslmnbsdt0 > sdtpldt0 > sdtbsmnsldt0 > sdtasdt0 > #nlpp > stldt0 > smndt0 > sbsmnsldt0 > xS > sz10 > sz00 > cS2076 > cS2043 > cS1395 > #skF_25 > #skF_11 > #skF_2 > #skF_18 > #skF_24 > #skF_6 > #skF_19 > #skF_17 > #skF_22 > #skF_12 > #skF_8 > #skF_4 > #skF_3 > #skF_13 > #skF_14 > #skF_5 > #skF_10 > #skF_7 > #skF_26 > #skF_15 > #skF_23 > #skF_29 > #skF_28 > #skF_27 > #skF_21 > #skF_1 > #skF_9 > #skF_20 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(aInteger0,type,
aInteger0: $i > $o ).
tff(sbsmnsldt0,type,
sbsmnsldt0: $i > $i ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(cS2043,type,
cS2043: $i ).
tff(stldt0,type,
stldt0: $i > $i ).
tff(sdtasdt0,type,
sdtasdt0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff(isClosed0,type,
isClosed0: $i > $o ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(szAzrzSzezqlpdtcmdtrp0,type,
szAzrzSzezqlpdtcmdtrp0: ( $i * $i ) > $i ).
tff(sz10,type,
sz10: $i ).
tff(cS1395,type,
cS1395: $i ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i ) > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(cS2076,type,
cS2076: $i ).
tff(xS,type,
xS: $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i * $i ) > $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_8',type,
'#skF_8': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': ( $i * $i ) > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff(smndt0,type,
smndt0: $i > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff(isOpen0,type,
isOpen0: $i > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i * $i ) > $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff(sdtbsmnsldt0,type,
sdtbsmnsldt0: ( $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i ) > $i ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff(aDivisorOf0,type,
aDivisorOf0: ( $i * $i ) > $o ).
tff('#skF_29',type,
'#skF_29': $i ).
tff('#skF_28',type,
'#skF_28': $i ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_591,negated_conjecture,
~ ( ! [W0] :
( aInteger0(W0)
=> ( ( ( ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) )
| aElementOf0(W0,sbsmnsldt0(xS)) )
=> ? [W1] :
( aInteger0(W1)
& ( W1 != sz00 )
& ? [W2] :
( aInteger0(W2)
& ( sdtasdt0(W1,W2) = W0 ) )
& aDivisorOf0(W1,W0)
& isPrime0(W1) ) )
& ( ? [W1] :
( ( ( aInteger0(W1)
& ( W1 != sz00 )
& ? [W2] :
( aInteger0(W2)
& ( sdtasdt0(W1,W2) = W0 ) ) )
| aDivisorOf0(W1,W0) )
& isPrime0(W1) )
=> ( ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) )
& aElementOf0(W0,sbsmnsldt0(xS)) ) ) ) )
=> ( ( aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) ) )
=> ( ( aSet0(stldt0(sbsmnsldt0(xS)))
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( ( W0 = sz10 )
| ( W0 = smndt0(sz10) ) ) )
| ( stldt0(sbsmnsldt0(xS)) = cS2076 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_513,hypothesis,
( aSet0(xS)
& ! [W0] :
( ( aElementOf0(W0,xS)
=> ? [W1] :
( aInteger0(W1)
& ( W1 != sz00 )
& isPrime0(W1)
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))
=> ( aInteger0(W2)
& ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ) )
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
& ( ( aInteger0(W2)
& ( ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ) )
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1)) ) )
& ( szAzrzSzezqlpdtcmdtrp0(sz00,W1) = W0 ) ) )
& ( ? [W1] :
( aInteger0(W1)
& ( W1 != sz00 )
& isPrime0(W1)
& ( ( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,W1))
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1))
=> ( aInteger0(W2)
& ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ) )
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
& sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
& ( ( aInteger0(W2)
& ( ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(sz00)) ) )
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(sz00)))
| sdteqdtlpzmzozddtrp0(W2,sz00,W1) ) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sz00,W1)) ) ) )
=> ( szAzrzSzezqlpdtcmdtrp0(sz00,W1) = W0 ) ) )
=> aElementOf0(W0,xS) ) )
& ( xS = cS2043 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
tff(f_233,axiom,
! [W0] :
( aInteger0(W0)
=> ( ? [W1] :
( aDivisorOf0(W1,W0)
& isPrime0(W1) )
<=> ( ( W0 != sz10 )
& ( W0 != smndt0(sz10) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mPrimeDivisor) ).
tff(f_31,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
tff(f_35,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
tff(c_338,plain,
( ( smndt0(sz10) = '#skF_28' )
| ( sz10 = '#skF_28' )
| ( sz10 != '#skF_29' ) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_451,plain,
sz10 != '#skF_29',
inference(splitLeft,[status(thm)],[c_338]) ).
tff(c_334,plain,
( ( smndt0(sz10) = '#skF_28' )
| ( sz10 = '#skF_28' )
| ( smndt0(sz10) != '#skF_29' ) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_498,plain,
smndt0(sz10) != '#skF_29',
inference(splitLeft,[status(thm)],[c_334]) ).
tff(c_272,plain,
xS = cS2043,
inference(cnfTransformation,[status(thm)],[f_513]) ).
tff(c_342,plain,
( ( smndt0(sz10) = '#skF_28' )
| ( sz10 = '#skF_28' )
| aElementOf0('#skF_29',stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_400,plain,
( ( smndt0(sz10) = '#skF_28' )
| ( sz10 = '#skF_28' )
| aElementOf0('#skF_29',stldt0(sbsmnsldt0(cS2043))) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_342]) ).
tff(c_1705,plain,
aElementOf0('#skF_29',stldt0(sbsmnsldt0(cS2043))),
inference(splitLeft,[status(thm)],[c_400]) ).
tff(c_346,plain,
! [W0_239] :
( aInteger0(W0_239)
| ~ aElementOf0(W0_239,stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_396,plain,
! [W0_239] :
( aInteger0(W0_239)
| ~ aElementOf0(W0_239,stldt0(sbsmnsldt0(cS2043))) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_346]) ).
tff(c_1717,plain,
aInteger0('#skF_29'),
inference(resolution,[status(thm)],[c_1705,c_396]) ).
tff(c_74,plain,
! [W0_54] :
( isPrime0('#skF_2'(W0_54))
| ( smndt0(sz10) = W0_54 )
| ( sz10 = W0_54 )
| ~ aInteger0(W0_54) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_3592,plain,
! [W0_351] :
( aDivisorOf0('#skF_2'(W0_351),W0_351)
| ( smndt0(sz10) = W0_351 )
| ( sz10 = W0_351 )
| ~ aInteger0(W0_351) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_354,plain,
! [W1_232,W0_221] :
( ~ aDivisorOf0(W1_232,W0_221)
| aElementOf0(W0_221,sbsmnsldt0(xS))
| ~ isPrime0(W1_232)
| ~ aInteger0(W0_221) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_404,plain,
! [W1_232,W0_221] :
( ~ aDivisorOf0(W1_232,W0_221)
| aElementOf0(W0_221,sbsmnsldt0(cS2043))
| ~ isPrime0(W1_232)
| ~ aInteger0(W0_221) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_354]) ).
tff(c_58961,plain,
! [W0_641] :
( aElementOf0(W0_641,sbsmnsldt0(cS2043))
| ~ isPrime0('#skF_2'(W0_641))
| ( smndt0(sz10) = W0_641 )
| ( sz10 = W0_641 )
| ~ aInteger0(W0_641) ),
inference(resolution,[status(thm)],[c_3592,c_404]) ).
tff(c_344,plain,
! [W0_239] :
( ~ aElementOf0(W0_239,sbsmnsldt0(xS))
| ~ aElementOf0(W0_239,stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_408,plain,
! [W0_239] :
( ~ aElementOf0(W0_239,sbsmnsldt0(cS2043))
| ~ aElementOf0(W0_239,stldt0(sbsmnsldt0(cS2043))) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_344]) ).
tff(c_1715,plain,
~ aElementOf0('#skF_29',sbsmnsldt0(cS2043)),
inference(resolution,[status(thm)],[c_1705,c_408]) ).
tff(c_59003,plain,
( ~ isPrime0('#skF_2'('#skF_29'))
| ( smndt0(sz10) = '#skF_29' )
| ( sz10 = '#skF_29' )
| ~ aInteger0('#skF_29') ),
inference(resolution,[status(thm)],[c_58961,c_1715]) ).
tff(c_59054,plain,
( ~ isPrime0('#skF_2'('#skF_29'))
| ( smndt0(sz10) = '#skF_29' )
| ( sz10 = '#skF_29' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1717,c_59003]) ).
tff(c_59055,plain,
~ isPrime0('#skF_2'('#skF_29')),
inference(negUnitSimplification,[status(thm)],[c_451,c_498,c_59054]) ).
tff(c_59066,plain,
( ( smndt0(sz10) = '#skF_29' )
| ( sz10 = '#skF_29' )
| ~ aInteger0('#skF_29') ),
inference(resolution,[status(thm)],[c_74,c_59055]) ).
tff(c_59069,plain,
( ( smndt0(sz10) = '#skF_29' )
| ( sz10 = '#skF_29' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1717,c_59066]) ).
tff(c_59071,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_451,c_498,c_59069]) ).
tff(c_59073,plain,
~ aElementOf0('#skF_29',stldt0(sbsmnsldt0(cS2043))),
inference(splitRight,[status(thm)],[c_400]) ).
tff(c_59072,plain,
( ( sz10 = '#skF_28' )
| ( smndt0(sz10) = '#skF_28' ) ),
inference(splitRight,[status(thm)],[c_400]) ).
tff(c_59074,plain,
smndt0(sz10) = '#skF_28',
inference(splitLeft,[status(thm)],[c_59072]) ).
tff(c_6,plain,
aInteger0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_8,plain,
! [W0_2] :
( aInteger0(smndt0(W0_2))
| ~ aInteger0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_78,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_1181,plain,
~ aInteger0(smndt0(sz10)),
inference(splitLeft,[status(thm)],[c_78]) ).
tff(c_1184,plain,
~ aInteger0(sz10),
inference(resolution,[status(thm)],[c_8,c_1181]) ).
tff(c_1188,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_1184]) ).
tff(c_1190,plain,
aInteger0(smndt0(sz10)),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_59082,plain,
aInteger0('#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_59074,c_1190]) ).
tff(c_324,plain,
! [W0_239] :
( aElementOf0(W0_239,stldt0(sbsmnsldt0(xS)))
| aElementOf0(W0_239,sbsmnsldt0(xS))
| ~ aInteger0(W0_239) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_60065,plain,
! [W0_664] :
( aElementOf0(W0_664,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(W0_664,sbsmnsldt0(cS2043))
| ~ aInteger0(W0_664) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_324]) ).
tff(c_340,plain,
( ~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(xS)))
| aElementOf0('#skF_29',stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_410,plain,
( ~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043)))
| aElementOf0('#skF_29',stldt0(sbsmnsldt0(cS2043))) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_340]) ).
tff(c_59189,plain,
~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043))),
inference(splitLeft,[status(thm)],[c_410]) ).
tff(c_60080,plain,
( aElementOf0('#skF_28',sbsmnsldt0(cS2043))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_60065,c_59189]) ).
tff(c_60097,plain,
aElementOf0('#skF_28',sbsmnsldt0(cS2043)),
inference(demodulation,[status(thm),theory(equality)],[c_59082,c_60080]) ).
tff(c_366,plain,
! [W0_221] :
( ~ aElementOf0(W0_221,sbsmnsldt0(xS))
| isPrime0('#skF_24'(W0_221))
| ~ aInteger0(W0_221) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_438,plain,
! [W0_221] :
( ~ aElementOf0(W0_221,sbsmnsldt0(cS2043))
| isPrime0('#skF_24'(W0_221))
| ~ aInteger0(W0_221) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_366]) ).
tff(c_60114,plain,
( isPrime0('#skF_24'('#skF_28'))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_60097,c_438]) ).
tff(c_60146,plain,
isPrime0('#skF_24'('#skF_28')),
inference(demodulation,[status(thm),theory(equality)],[c_59082,c_60114]) ).
tff(c_370,plain,
! [W0_221] :
( ~ aElementOf0(W0_221,sbsmnsldt0(xS))
| aDivisorOf0('#skF_24'(W0_221),W0_221)
| ~ aInteger0(W0_221) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_406,plain,
! [W0_221] :
( ~ aElementOf0(W0_221,sbsmnsldt0(cS2043))
| aDivisorOf0('#skF_24'(W0_221),W0_221)
| ~ aInteger0(W0_221) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_370]) ).
tff(c_60108,plain,
( aDivisorOf0('#skF_24'('#skF_28'),'#skF_28')
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_60097,c_406]) ).
tff(c_60140,plain,
aDivisorOf0('#skF_24'('#skF_28'),'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_59082,c_60108]) ).
tff(c_1189,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,smndt0(sz10)) ),
inference(splitRight,[status(thm)],[c_78]) ).
tff(c_59079,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_28') ),
inference(demodulation,[status(thm),theory(equality)],[c_59074,c_1189]) ).
tff(c_60228,plain,
~ isPrime0('#skF_24'('#skF_28')),
inference(resolution,[status(thm)],[c_60140,c_59079]) ).
tff(c_60243,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60146,c_60228]) ).
tff(c_60244,plain,
aElementOf0('#skF_29',stldt0(sbsmnsldt0(cS2043))),
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_60499,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60244,c_59073]) ).
tff(c_60500,plain,
sz10 = '#skF_28',
inference(splitRight,[status(thm)],[c_59072]) ).
tff(c_60526,plain,
aInteger0('#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_60500,c_6]) ).
tff(c_60913,plain,
! [W0_682] :
( aElementOf0(W0_682,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(W0_682,sbsmnsldt0(cS2043))
| ~ aInteger0(W0_682) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_324]) ).
tff(c_60547,plain,
~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043))),
inference(splitLeft,[status(thm)],[c_410]) ).
tff(c_60923,plain,
( aElementOf0('#skF_28',sbsmnsldt0(cS2043))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_60913,c_60547]) ).
tff(c_60938,plain,
aElementOf0('#skF_28',sbsmnsldt0(cS2043)),
inference(demodulation,[status(thm),theory(equality)],[c_60526,c_60923]) ).
tff(c_60953,plain,
( isPrime0('#skF_24'('#skF_28'))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_60938,c_438]) ).
tff(c_60982,plain,
isPrime0('#skF_24'('#skF_28')),
inference(demodulation,[status(thm),theory(equality)],[c_60526,c_60953]) ).
tff(c_60947,plain,
( aDivisorOf0('#skF_24'('#skF_28'),'#skF_28')
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_60938,c_406]) ).
tff(c_60976,plain,
aDivisorOf0('#skF_24'('#skF_28'),'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_60526,c_60947]) ).
tff(c_80,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,sz10)
| ~ aInteger0(sz10) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_444,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,sz10) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_80]) ).
tff(c_60525,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_28') ),
inference(demodulation,[status(thm),theory(equality)],[c_60500,c_444]) ).
tff(c_61115,plain,
~ isPrime0('#skF_24'('#skF_28')),
inference(resolution,[status(thm)],[c_60976,c_60525]) ).
tff(c_61124,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_60982,c_61115]) ).
tff(c_61125,plain,
aElementOf0('#skF_29',stldt0(sbsmnsldt0(cS2043))),
inference(splitRight,[status(thm)],[c_410]) ).
tff(c_61242,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_59073,c_61125]) ).
tff(c_61244,plain,
smndt0(sz10) = '#skF_29',
inference(splitRight,[status(thm)],[c_334]) ).
tff(c_61243,plain,
( ( sz10 = '#skF_28' )
| ( smndt0(sz10) = '#skF_28' ) ),
inference(splitRight,[status(thm)],[c_334]) ).
tff(c_61254,plain,
( ( sz10 = '#skF_28' )
| ( '#skF_29' = '#skF_28' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_61244,c_61243]) ).
tff(c_61255,plain,
'#skF_29' = '#skF_28',
inference(splitLeft,[status(thm)],[c_61254]) ).
tff(c_61248,plain,
( aInteger0('#skF_29')
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_61244,c_8]) ).
tff(c_61252,plain,
aInteger0('#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_61248]) ).
tff(c_61262,plain,
aInteger0('#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_61255,c_61252]) ).
tff(c_62929,plain,
! [W0_749] :
( aElementOf0(W0_749,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(W0_749,sbsmnsldt0(cS2043))
| ~ aInteger0(W0_749) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_324]) ).
tff(c_61256,plain,
smndt0(sz10) = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_61255,c_61244]) ).
tff(c_332,plain,
( ~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(xS)))
| ( smndt0(sz10) != '#skF_29' ) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_414,plain,
( ~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043)))
| ( smndt0(sz10) != '#skF_29' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_332]) ).
tff(c_61594,plain,
~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043))),
inference(demodulation,[status(thm),theory(equality)],[c_61256,c_61255,c_414]) ).
tff(c_62938,plain,
( aElementOf0('#skF_28',sbsmnsldt0(cS2043))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_62929,c_61594]) ).
tff(c_62946,plain,
aElementOf0('#skF_28',sbsmnsldt0(cS2043)),
inference(demodulation,[status(thm),theory(equality)],[c_61262,c_62938]) ).
tff(c_62961,plain,
( isPrime0('#skF_24'('#skF_28'))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_62946,c_438]) ).
tff(c_62982,plain,
isPrime0('#skF_24'('#skF_28')),
inference(demodulation,[status(thm),theory(equality)],[c_61262,c_62961]) ).
tff(c_62949,plain,
( aDivisorOf0('#skF_24'('#skF_28'),'#skF_28')
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_62946,c_406]) ).
tff(c_62972,plain,
aDivisorOf0('#skF_24'('#skF_28'),'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_61262,c_62949]) ).
tff(c_62532,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_28') ),
inference(demodulation,[status(thm),theory(equality)],[c_61262,c_61256,c_61256,c_78]) ).
tff(c_63092,plain,
~ isPrime0('#skF_24'('#skF_28')),
inference(resolution,[status(thm)],[c_62972,c_62532]) ).
tff(c_63101,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_62982,c_63092]) ).
tff(c_63102,plain,
sz10 = '#skF_28',
inference(splitRight,[status(thm)],[c_61254]) ).
tff(c_63109,plain,
aInteger0('#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_63102,c_6]) ).
tff(c_67175,plain,
! [W0_871] :
( aElementOf0(W0_871,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(W0_871,sbsmnsldt0(cS2043))
| ~ aInteger0(W0_871) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_324]) ).
tff(c_63105,plain,
smndt0('#skF_28') = '#skF_29',
inference(demodulation,[status(thm),theory(equality)],[c_63102,c_61244]) ).
tff(c_63463,plain,
~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043))),
inference(demodulation,[status(thm),theory(equality)],[c_63105,c_63102,c_414]) ).
tff(c_67195,plain,
( aElementOf0('#skF_28',sbsmnsldt0(cS2043))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_67175,c_63463]) ).
tff(c_67208,plain,
aElementOf0('#skF_28',sbsmnsldt0(cS2043)),
inference(demodulation,[status(thm),theory(equality)],[c_63109,c_67195]) ).
tff(c_67222,plain,
( isPrime0('#skF_24'('#skF_28'))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_67208,c_438]) ).
tff(c_67257,plain,
isPrime0('#skF_24'('#skF_28')),
inference(demodulation,[status(thm),theory(equality)],[c_63109,c_67222]) ).
tff(c_67219,plain,
( aDivisorOf0('#skF_24'('#skF_28'),'#skF_28')
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_67208,c_406]) ).
tff(c_67254,plain,
aDivisorOf0('#skF_24'('#skF_28'),'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_63109,c_67219]) ).
tff(c_63108,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_28') ),
inference(demodulation,[status(thm),theory(equality)],[c_63102,c_444]) ).
tff(c_67427,plain,
~ isPrime0('#skF_24'('#skF_28')),
inference(resolution,[status(thm)],[c_67254,c_63108]) ).
tff(c_67442,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_67257,c_67427]) ).
tff(c_67444,plain,
sz10 = '#skF_29',
inference(splitRight,[status(thm)],[c_338]) ).
tff(c_67446,plain,
aInteger0('#skF_29'),
inference(demodulation,[status(thm),theory(equality)],[c_67444,c_6]) ).
tff(c_67443,plain,
( ( sz10 = '#skF_28' )
| ( smndt0(sz10) = '#skF_28' ) ),
inference(splitRight,[status(thm)],[c_338]) ).
tff(c_67453,plain,
( ( '#skF_29' = '#skF_28' )
| ( smndt0('#skF_29') = '#skF_28' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_67444,c_67444,c_67443]) ).
tff(c_67454,plain,
smndt0('#skF_29') = '#skF_28',
inference(splitLeft,[status(thm)],[c_67453]) ).
tff(c_67459,plain,
( aInteger0('#skF_28')
| ~ aInteger0('#skF_29') ),
inference(superposition,[status(thm),theory(equality)],[c_67454,c_8]) ).
tff(c_67463,plain,
aInteger0('#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_67446,c_67459]) ).
tff(c_70164,plain,
! [W0_973] :
( aElementOf0(W0_973,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(W0_973,sbsmnsldt0(cS2043))
| ~ aInteger0(W0_973) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_324]) ).
tff(c_336,plain,
( ~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(xS)))
| ( sz10 != '#skF_29' ) ),
inference(cnfTransformation,[status(thm)],[f_591]) ).
tff(c_439,plain,
( ~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043)))
| ( sz10 != '#skF_29' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_336]) ).
tff(c_67701,plain,
~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043))),
inference(demodulation,[status(thm),theory(equality)],[c_67444,c_439]) ).
tff(c_70183,plain,
( aElementOf0('#skF_28',sbsmnsldt0(cS2043))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_70164,c_67701]) ).
tff(c_70192,plain,
aElementOf0('#skF_28',sbsmnsldt0(cS2043)),
inference(demodulation,[status(thm),theory(equality)],[c_67463,c_70183]) ).
tff(c_70201,plain,
( isPrime0('#skF_24'('#skF_28'))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_70192,c_438]) ).
tff(c_70230,plain,
isPrime0('#skF_24'('#skF_28')),
inference(demodulation,[status(thm),theory(equality)],[c_67463,c_70201]) ).
tff(c_70198,plain,
( aDivisorOf0('#skF_24'('#skF_28'),'#skF_28')
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_70192,c_406]) ).
tff(c_70227,plain,
aDivisorOf0('#skF_24'('#skF_28'),'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_67463,c_70198]) ).
tff(c_68986,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_28') ),
inference(demodulation,[status(thm),theory(equality)],[c_67463,c_67454,c_67444,c_67454,c_67444,c_78]) ).
tff(c_70407,plain,
~ isPrime0('#skF_24'('#skF_28')),
inference(resolution,[status(thm)],[c_70227,c_68986]) ).
tff(c_70422,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_70230,c_70407]) ).
tff(c_70423,plain,
'#skF_29' = '#skF_28',
inference(splitRight,[status(thm)],[c_67453]) ).
tff(c_70426,plain,
aInteger0('#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_70423,c_67446]) ).
tff(c_74199,plain,
! [W0_1100] :
( aElementOf0(W0_1100,stldt0(sbsmnsldt0(cS2043)))
| aElementOf0(W0_1100,sbsmnsldt0(cS2043))
| ~ aInteger0(W0_1100) ),
inference(demodulation,[status(thm),theory(equality)],[c_272,c_272,c_324]) ).
tff(c_70427,plain,
sz10 = '#skF_28',
inference(demodulation,[status(thm),theory(equality)],[c_70423,c_67444]) ).
tff(c_70573,plain,
~ aElementOf0('#skF_28',stldt0(sbsmnsldt0(cS2043))),
inference(demodulation,[status(thm),theory(equality)],[c_70427,c_70423,c_439]) ).
tff(c_74222,plain,
( aElementOf0('#skF_28',sbsmnsldt0(cS2043))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_74199,c_70573]) ).
tff(c_74233,plain,
aElementOf0('#skF_28',sbsmnsldt0(cS2043)),
inference(demodulation,[status(thm),theory(equality)],[c_70426,c_74222]) ).
tff(c_74249,plain,
( isPrime0('#skF_24'('#skF_28'))
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_74233,c_438]) ).
tff(c_74284,plain,
isPrime0('#skF_24'('#skF_28')),
inference(demodulation,[status(thm),theory(equality)],[c_70426,c_74249]) ).
tff(c_74243,plain,
( aDivisorOf0('#skF_24'('#skF_28'),'#skF_28')
| ~ aInteger0('#skF_28') ),
inference(resolution,[status(thm)],[c_74233,c_406]) ).
tff(c_74278,plain,
aDivisorOf0('#skF_24'('#skF_28'),'#skF_28'),
inference(demodulation,[status(thm),theory(equality)],[c_70426,c_74243]) ).
tff(c_67445,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_29') ),
inference(demodulation,[status(thm),theory(equality)],[c_67444,c_444]) ).
tff(c_70439,plain,
! [W1_57] :
( ~ isPrime0(W1_57)
| ~ aDivisorOf0(W1_57,'#skF_28') ),
inference(demodulation,[status(thm),theory(equality)],[c_70423,c_67445]) ).
tff(c_74419,plain,
~ isPrime0('#skF_24'('#skF_28')),
inference(resolution,[status(thm)],[c_74278,c_70439]) ).
tff(c_74434,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_74284,c_74419]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM448+5 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.15 % 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
% 0.14/0.36 % Computer : n007.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 14:25:24 EDT 2023
% 0.14/0.36 % CPUTime :
% 30.90/15.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 30.90/15.99
% 30.90/15.99 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 31.22/16.03
% 31.22/16.03 Inference rules
% 31.22/16.03 ----------------------
% 31.22/16.03 #Ref : 0
% 31.22/16.03 #Sup : 15091
% 31.22/16.03 #Fact : 0
% 31.22/16.03 #Define : 0
% 31.22/16.03 #Split : 82
% 31.22/16.03 #Chain : 0
% 31.22/16.03 #Close : 0
% 31.22/16.03
% 31.22/16.03 Ordering : KBO
% 31.22/16.03
% 31.22/16.03 Simplification rules
% 31.22/16.03 ----------------------
% 31.22/16.03 #Subsume : 2081
% 31.22/16.03 #Demod : 36211
% 31.22/16.03 #Tautology : 6544
% 31.22/16.03 #SimpNegUnit : 911
% 31.22/16.03 #BackRed : 477
% 31.22/16.03
% 31.22/16.03 #Partial instantiations: 0
% 31.22/16.03 #Strategies tried : 1
% 31.22/16.03
% 31.22/16.03 Timing (in seconds)
% 31.22/16.03 ----------------------
% 31.22/16.04 Preprocessing : 0.78
% 31.22/16.04 Parsing : 0.36
% 31.22/16.04 CNF conversion : 0.08
% 31.22/16.04 Main loop : 14.15
% 31.22/16.04 Inferencing : 1.95
% 31.22/16.04 Reduction : 8.45
% 31.22/16.04 Demodulation : 7.55
% 31.22/16.04 BG Simplification : 0.18
% 31.22/16.04 Subsumption : 2.97
% 31.22/16.04 Abstraction : 0.24
% 31.22/16.04 MUC search : 0.00
% 31.22/16.04 Cooper : 0.00
% 31.22/16.04 Total : 15.01
% 31.22/16.04 Index Insertion : 0.00
% 31.22/16.04 Index Deletion : 0.00
% 31.22/16.04 Index Matching : 0.00
% 31.22/16.04 BG Taut test : 0.00
%------------------------------------------------------------------------------