%------------------------------------------------------------------------------
% File : Beagle---0.9.52
% Problem : NUM455+6 : TPTP v9.0.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n002.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 : Wed Apr 9 07:55:58 PM UTC 2025
% Result : Theorem 15.08s 4.89s
% Output : CNFRefutation 15.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 4
% Syntax : Number of formulae : 15 ( 7 unt; 0 typ; 0 def)
% Number of atoms : 39 ( 21 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 35 ( 11 ~; 10 |; 14 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 50 ( 50 usr; 10 con; 0-3 aty)
% Number of variables : 5 ( 1 !; 4 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aSubsetOf0 > aElementOf0 > aDivisorOf0 > isPrime0 > isOpen0 > isFinite0 > isClosed0 > aSet0 > aInteger0 > szAzrzSzezqlpdtcmdtrp0 > sdtslmnbsdt0 > sdtpldt0 > sdtbsmnsldt0 > sdtasdt0 > #nlpp > stldt0 > smndt0 > sbsmnsldt0 > xp > xS > sz10 > sz00 > cS2200 > cS2076 > cS2043 > cS1395 > #skF_25 > #skF_33 > #skF_11 > #skF_2 > #skF_18 > #skF_24 > #skF_26 > #skF_6 > #skF_19 > #skF_17 > #skF_31 > #skF_22 > #skF_12 > #skF_8 > #skF_4 > #skF_3 > #skF_13 > #skF_14 > #skF_32 > #skF_28 > #skF_5 > #skF_10 > #skF_7 > #skF_15 > #skF_23 > #skF_27 > #skF_29 > #skF_21 > #skF_1 > #skF_9 > #skF_30 > #skF_20 > #skF_16 > #skF_34
%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_33',type,
'#skF_33': $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_26',type,
'#skF_26': ( $i * $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_31',type,
'#skF_31': $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(cS2200,type,
cS2200: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
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(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(xp,type,
xp: $i ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $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_30',type,
'#skF_30': $i > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i ).
tff(f_763,hypothesis,
( ( sdtpldt0(sz10,xp) != sz10 )
& ( sdtpldt0(sz10,smndt0(xp)) != sz10 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2258) ).
tff(f_758,hypothesis,
( ? [W0] :
( aInteger0(W0)
& ( sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) ) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
& aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ? [W0] :
( aInteger0(W0)
& ( sdtasdt0(xp,W0) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)) ) )
& aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
& aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).
tff(f_789,negated_conjecture,
~ ? [W0] :
( ( ( aInteger0(W0)
& ( ? [W1] :
( aInteger0(W1)
& ( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) ) )
| aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
| aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& ~ ( ( ( W0 = sz10 )
| ( W0 = smndt0(sz10) ) )
& aElementOf0(W0,cS2200) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_768,hypothesis,
( ( sdtpldt0(sz10,xp) != smndt0(sz10) )
| ( sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2286) ).
tff(c_502,plain,
sdtpldt0(sz10,xp) != sz10,
inference(cnfTransformation,[status(thm)],[f_763]) ).
tff(c_490,plain,
aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_514,plain,
! [W0_297] :
( ~ aElementOf0(W0_297,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( smndt0(sz10) = W0_297 )
| ( sz10 = W0_297 ) ),
inference(cnfTransformation,[status(thm)],[f_789]) ).
tff(c_9449,plain,
( ( sdtpldt0(sz10,xp) = smndt0(sz10) )
| ( sdtpldt0(sz10,xp) = sz10 ) ),
inference(resolution,[status(thm)],[c_490,c_514]) ).
tff(c_9457,plain,
sdtpldt0(sz10,xp) = smndt0(sz10),
inference(negUnitSimplification,[status(thm)],[c_502,c_9449]) ).
tff(c_500,plain,
sdtpldt0(sz10,smndt0(xp)) != sz10,
inference(cnfTransformation,[status(thm)],[f_763]) ).
tff(c_480,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(cnfTransformation,[status(thm)],[f_758]) ).
tff(c_9943,plain,
( ( sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10) )
| ( sdtpldt0(sz10,smndt0(xp)) = sz10 ) ),
inference(resolution,[status(thm)],[c_480,c_514]) ).
tff(c_9952,plain,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
inference(negUnitSimplification,[status(thm)],[c_500,c_9943]) ).
tff(c_504,plain,
( ( sdtpldt0(sz10,smndt0(xp)) != smndt0(sz10) )
| ( sdtpldt0(sz10,xp) != smndt0(sz10) ) ),
inference(cnfTransformation,[status(thm)],[f_768]) ).
tff(c_17668,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9457,c_9952,c_504]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.14 % Problem : NUM455+6 : TPTP v9.0.0. Released v4.0.0.
% 0.06/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.13/0.39 % Computer : n002.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Tue Apr 8 12:38:02 EDT 2025
% 0.13/0.39 % CPUTime :
% 15.08/4.89 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 15.08/4.89
% 15.08/4.89 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
%------------------------------------------------------------------------------