TSTP Solution File: NUM452+6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM452+6 : 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 : n019.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 10:51:43 EDT 2023
% Result : Theorem 78.36s 60.20s
% Output : CNFRefutation 78.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 72
% Syntax : Number of formulae : 249 ( 95 unt; 57 typ; 1 def)
% Number of atoms : 389 ( 88 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 360 ( 163 ~; 135 |; 42 &)
% ( 6 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 87 ( 50 >; 37 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 47 ( 47 usr; 7 con; 0-3 aty)
% Number of variables : 96 (; 89 !; 7 ?; 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 > cS2076 > cS2043 > cS1395 > #skF_25 > #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
%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_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('#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(f_737,hypothesis,
( aInteger0(xp)
& ( xp != sz00 )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& ( sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) ) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ( ( 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)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
tff(f_93,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtasdt0(W0,sz10) = W0 )
& ( W0 = sdtasdt0(sz10,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
tff(f_31,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
tff(f_140,definition,
! [W0] :
( aInteger0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( aInteger0(W1)
& ( W1 != sz00 )
& ? [W2] :
( aInteger0(W2)
& ( sdtasdt0(W1,W2) = W0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
tff(f_67,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,sz00) = W0 )
& ( W0 = sdtpldt0(sz00,W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
tff(f_35,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
tff(f_61,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
tff(f_543,hypothesis,
( 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__2079) ).
tff(f_73,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtpldt0(W0,smndt0(W0)) = sz00 )
& ( sz00 = sdtpldt0(smndt0(W0),W0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
tff(f_55,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> ( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
tff(f_115,axiom,
! [W0] :
( aInteger0(W0)
=> ( ( sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
& ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
tff(f_87,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> ( sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
tff(f_47,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
tff(f_41,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> aInteger0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
tff(f_759,negated_conjecture,
~ ( ( ? [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/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(c_450,plain,
xp != sz00,
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_452,plain,
aInteger0(xp),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_127631,plain,
! [W0_2249] :
( ( sdtasdt0(W0_2249,sz10) = W0_2249 )
| ~ aInteger0(W0_2249) ),
inference(cnfTransformation,[status(thm)],[f_93]) ).
tff(c_127661,plain,
sdtasdt0(xp,sz10) = xp,
inference(resolution,[status(thm)],[c_452,c_127631]) ).
tff(c_6,plain,
aInteger0(sz10),
inference(cnfTransformation,[status(thm)],[f_31]) ).
tff(c_187613,plain,
! [W1_3282,W2_3283] :
( aDivisorOf0(W1_3282,sdtasdt0(W1_3282,W2_3283))
| ~ aInteger0(W2_3283)
| ( sz00 = W1_3282 )
| ~ aInteger0(W1_3282)
| ~ aInteger0(sdtasdt0(W1_3282,W2_3283)) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_187938,plain,
( aDivisorOf0(xp,xp)
| ~ aInteger0(sz10)
| ( xp = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_127661,c_187613]) ).
tff(c_188244,plain,
( aDivisorOf0(xp,xp)
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_127661,c_452,c_6,c_187938]) ).
tff(c_188245,plain,
aDivisorOf0(xp,xp),
inference(negUnitSimplification,[status(thm)],[c_450,c_188244]) ).
tff(c_120610,plain,
! [W0_1945] :
( ( sdtpldt0(sz00,W0_1945) = W0_1945 )
| ~ aInteger0(W0_1945) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_120630,plain,
sdtpldt0(sz00,xp) = xp,
inference(resolution,[status(thm)],[c_452,c_120610]) ).
tff(c_8,plain,
! [W0_2] :
( aInteger0(smndt0(W0_2))
| ~ aInteger0(W0_2) ),
inference(cnfTransformation,[status(thm)],[f_35]) ).
tff(c_145751,plain,
! [W1_2762,W0_2763] :
( ( sdtpldt0(W1_2762,W0_2763) = sdtpldt0(W0_2763,W1_2762) )
| ~ aInteger0(W1_2762)
| ~ aInteger0(W0_2763) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_145976,plain,
! [W0_2768] :
( ( sdtpldt0(xp,W0_2768) = sdtpldt0(W0_2768,xp) )
| ~ aInteger0(W0_2768) ),
inference(resolution,[status(thm)],[c_452,c_145751]) ).
tff(c_146029,plain,
! [W0_2] :
( ( sdtpldt0(smndt0(W0_2),xp) = sdtpldt0(xp,smndt0(W0_2)) )
| ~ aInteger0(W0_2) ),
inference(resolution,[status(thm)],[c_8,c_145976]) ).
tff(c_322,plain,
stldt0(sbsmnsldt0(xS)) = cS2076,
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_334,plain,
aElementOf0(smndt0(sz10),stldt0(sbsmnsldt0(xS))),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_528,plain,
aElementOf0(smndt0(sz10),cS2076),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_334]) ).
tff(c_456,plain,
! [W0_288] :
( aInteger0(W0_288)
| ~ aElementOf0(W0_288,stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_120181,plain,
! [W0_1917] :
( aInteger0(W0_1917)
| ~ aElementOf0(W0_1917,cS2076) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_456]) ).
tff(c_120188,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[c_528,c_120181]) ).
tff(c_145791,plain,
! [W0_2764] :
( ( sdtpldt0(sz10,W0_2764) = sdtpldt0(W0_2764,sz10) )
| ~ aInteger0(W0_2764) ),
inference(resolution,[status(thm)],[c_6,c_145751]) ).
tff(c_145839,plain,
sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[c_120188,c_145791]) ).
tff(c_22,plain,
! [W0_13] :
( ( sdtpldt0(smndt0(W0_13),W0_13) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_146042,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sz00 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_145839,c_22]) ).
tff(c_146051,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_146042]) ).
tff(c_189797,plain,
! [W0_3305,W1_3306,W2_3307] :
( ( sdtpldt0(sdtpldt0(W0_3305,W1_3306),W2_3307) = sdtpldt0(W0_3305,sdtpldt0(W1_3306,W2_3307)) )
| ~ aInteger0(W2_3307)
| ~ aInteger0(W1_3306)
| ~ aInteger0(W0_3305) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_190028,plain,
! [W2_3307] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(sz10),W2_3307)) = sdtpldt0(sz00,W2_3307) )
| ~ aInteger0(W2_3307)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_146051,c_189797]) ).
tff(c_299329,plain,
! [W2_3987] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(sz10),W2_3987)) = sdtpldt0(sz00,W2_3987) )
| ~ aInteger0(W2_3987) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_120188,c_190028]) ).
tff(c_299392,plain,
( ( sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = sdtpldt0(sz00,xp) )
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_146029,c_299329]) ).
tff(c_299452,plain,
sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))) = xp,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_452,c_120630,c_299392]) ).
tff(c_24,plain,
! [W0_13] :
( ( sdtpldt0(W0_13,smndt0(W0_13)) = sz00 )
| ~ aInteger0(W0_13) ),
inference(cnfTransformation,[status(thm)],[f_73]) ).
tff(c_42,plain,
! [W0_24] :
( ( sdtasdt0(W0_24,smndt0(sz10)) = smndt0(W0_24) )
| ~ aInteger0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_116617,plain,
! [W0_1750] :
( aInteger0(W0_1750)
| ~ aElementOf0(W0_1750,cS2076) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_456]) ).
tff(c_116624,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[c_528,c_116617]) ).
tff(c_119002,plain,
! [W1_1868,W0_1869] :
( ( sdtasdt0(W1_1868,W0_1869) = sdtasdt0(W0_1869,W1_1868) )
| ~ aInteger0(W1_1868)
| ~ aInteger0(W0_1869) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_119159,plain,
! [W0_1872] :
( ( sdtasdt0(xp,W0_1872) = sdtasdt0(W0_1872,xp) )
| ~ aInteger0(W0_1872) ),
inference(resolution,[status(thm)],[c_452,c_119002]) ).
tff(c_119207,plain,
sdtasdt0(smndt0(sz10),xp) = sdtasdt0(xp,smndt0(sz10)),
inference(resolution,[status(thm)],[c_116624,c_119159]) ).
tff(c_12,plain,
! [W0_5,W1_6] :
( aInteger0(sdtasdt0(W0_5,W1_6))
| ~ aInteger0(W1_6)
| ~ aInteger0(W0_5) ),
inference(cnfTransformation,[status(thm)],[f_47]) ).
tff(c_119218,plain,
( aInteger0(sdtasdt0(xp,smndt0(sz10)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_119207,c_12]) ).
tff(c_119228,plain,
aInteger0(sdtasdt0(xp,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_116624,c_452,c_119218]) ).
tff(c_119276,plain,
( aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_119228]) ).
tff(c_119292,plain,
aInteger0(smndt0(xp)),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_119276]) ).
tff(c_10,plain,
! [W0_3,W1_4] :
( aInteger0(sdtpldt0(W0_3,W1_4))
| ~ aInteger0(W1_4)
| ~ aInteger0(W0_3) ),
inference(cnfTransformation,[status(thm)],[f_41]) ).
tff(c_488,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_604,plain,
~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(splitLeft,[status(thm)],[c_488]) ).
tff(c_482,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_657,plain,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitLeft,[status(thm)],[c_482]) ).
tff(c_605,plain,
! [W0_302] :
( aInteger0(W0_302)
| ~ aElementOf0(W0_302,cS2076) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_456]) ).
tff(c_612,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[c_528,c_605]) ).
tff(c_108780,plain,
! [W1_1414,W0_1415] :
( ( sdtasdt0(W1_1414,W0_1415) = sdtasdt0(W0_1415,W1_1414) )
| ~ aInteger0(W1_1414)
| ~ aInteger0(W0_1415) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_108983,plain,
! [W0_1421] :
( ( sdtasdt0(xp,W0_1421) = sdtasdt0(W0_1421,xp) )
| ~ aInteger0(W0_1421) ),
inference(resolution,[status(thm)],[c_452,c_108780]) ).
tff(c_109027,plain,
sdtasdt0(smndt0(sz10),xp) = sdtasdt0(xp,smndt0(sz10)),
inference(resolution,[status(thm)],[c_612,c_108983]) ).
tff(c_109321,plain,
( aInteger0(sdtasdt0(xp,smndt0(sz10)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_109027,c_12]) ).
tff(c_109330,plain,
aInteger0(sdtasdt0(xp,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_612,c_452,c_109321]) ).
tff(c_109376,plain,
( aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_109330]) ).
tff(c_109392,plain,
aInteger0(smndt0(xp)),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_109376]) ).
tff(c_108641,plain,
! [W1_1411,W0_1412] :
( ( sdtpldt0(W1_1411,W0_1412) = sdtpldt0(W0_1412,W1_1411) )
| ~ aInteger0(W1_1411)
| ~ aInteger0(W0_1412) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_108672,plain,
! [W0_1412] :
( ( sdtpldt0(sz10,W0_1412) = sdtpldt0(W0_1412,sz10) )
| ~ aInteger0(W0_1412) ),
inference(resolution,[status(thm)],[c_6,c_108641]) ).
tff(c_109439,plain,
sdtpldt0(smndt0(xp),sz10) = sdtpldt0(sz10,smndt0(xp)),
inference(resolution,[status(thm)],[c_109392,c_108672]) ).
tff(c_109949,plain,
( aInteger0(sdtpldt0(sz10,smndt0(xp)))
| ~ aInteger0(sz10)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_109439,c_10]) ).
tff(c_109953,plain,
aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(demodulation,[status(thm),theory(equality)],[c_109392,c_6,c_109949]) ).
tff(c_2232,plain,
! [W1_390,W0_391] :
( ( sdtasdt0(W1_390,W0_391) = sdtasdt0(W0_391,W1_390) )
| ~ aInteger0(W1_390)
| ~ aInteger0(W0_391) ),
inference(cnfTransformation,[status(thm)],[f_87]) ).
tff(c_2364,plain,
! [W0_394] :
( ( sdtasdt0(xp,W0_394) = sdtasdt0(W0_394,xp) )
| ~ aInteger0(W0_394) ),
inference(resolution,[status(thm)],[c_452,c_2232]) ).
tff(c_2404,plain,
sdtasdt0(smndt0(sz10),xp) = sdtasdt0(xp,smndt0(sz10)),
inference(resolution,[status(thm)],[c_612,c_2364]) ).
tff(c_2424,plain,
( aInteger0(sdtasdt0(xp,smndt0(sz10)))
| ~ aInteger0(xp)
| ~ aInteger0(smndt0(sz10)) ),
inference(superposition,[status(thm),theory(equality)],[c_2404,c_12]) ).
tff(c_2433,plain,
aInteger0(sdtasdt0(xp,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_612,c_452,c_2424]) ).
tff(c_2468,plain,
( aInteger0(smndt0(xp))
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_42,c_2433]) ).
tff(c_2480,plain,
aInteger0(smndt0(xp)),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_2468]) ).
tff(c_44,plain,
! [W0_24] :
( ( sdtasdt0(smndt0(sz10),W0_24) = smndt0(W0_24) )
| ~ aInteger0(W0_24) ),
inference(cnfTransformation,[status(thm)],[f_115]) ).
tff(c_2421,plain,
( ( sdtasdt0(xp,smndt0(sz10)) = smndt0(xp) )
| ~ aInteger0(xp) ),
inference(superposition,[status(thm),theory(equality)],[c_2404,c_44]) ).
tff(c_2431,plain,
sdtasdt0(xp,smndt0(sz10)) = smndt0(xp),
inference(demodulation,[status(thm),theory(equality)],[c_452,c_2421]) ).
tff(c_9693,plain,
! [W1_552,W2_553] :
( aDivisorOf0(W1_552,sdtasdt0(W1_552,W2_553))
| ~ aInteger0(W2_553)
| ( sz00 = W1_552 )
| ~ aInteger0(W1_552)
| ~ aInteger0(sdtasdt0(W1_552,W2_553)) ),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_9814,plain,
( aDivisorOf0(xp,smndt0(xp))
| ~ aInteger0(smndt0(sz10))
| ( xp = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sdtasdt0(xp,smndt0(sz10))) ),
inference(superposition,[status(thm),theory(equality)],[c_2431,c_9693]) ).
tff(c_10001,plain,
( aDivisorOf0(xp,smndt0(xp))
| ( xp = sz00 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2480,c_2431,c_452,c_612,c_9814]) ).
tff(c_10002,plain,
aDivisorOf0(xp,smndt0(xp)),
inference(negUnitSimplification,[status(thm)],[c_450,c_10001]) ).
tff(c_18,plain,
! [W0_12] :
( ( sdtpldt0(sz00,W0_12) = W0_12 )
| ~ aInteger0(W0_12) ),
inference(cnfTransformation,[status(thm)],[f_67]) ).
tff(c_2517,plain,
sdtpldt0(sz00,smndt0(xp)) = smndt0(xp),
inference(resolution,[status(thm)],[c_2480,c_18]) ).
tff(c_2713,plain,
! [W1_401,W0_402] :
( ( sdtpldt0(W1_401,W0_402) = sdtpldt0(W0_402,W1_401) )
| ~ aInteger0(W1_401)
| ~ aInteger0(W0_402) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_2751,plain,
! [W0_403] :
( ( sdtpldt0(sz10,W0_403) = sdtpldt0(W0_403,sz10) )
| ~ aInteger0(W0_403) ),
inference(resolution,[status(thm)],[c_6,c_2713]) ).
tff(c_2795,plain,
sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[c_612,c_2751]) ).
tff(c_2997,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sz00 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_2795,c_22]) ).
tff(c_3006,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2997]) ).
tff(c_10308,plain,
! [W0_557,W1_558,W2_559] :
( ( sdtpldt0(sdtpldt0(W0_557,W1_558),W2_559) = sdtpldt0(W0_557,sdtpldt0(W1_558,W2_559)) )
| ~ aInteger0(W2_559)
| ~ aInteger0(W1_558)
| ~ aInteger0(W0_557) ),
inference(cnfTransformation,[status(thm)],[f_55]) ).
tff(c_10439,plain,
! [W2_559] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(sz10),W2_559)) = sdtpldt0(sz00,W2_559) )
| ~ aInteger0(W2_559)
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_3006,c_10308]) ).
tff(c_103998,plain,
! [W2_1191] :
( ( sdtpldt0(sz10,sdtpldt0(smndt0(sz10),W2_1191)) = sdtpldt0(sz00,W2_1191) )
| ~ aInteger0(W2_1191) ),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_612,c_10439]) ).
tff(c_2745,plain,
! [W0_402] :
( ( sdtpldt0(smndt0(sz10),W0_402) = sdtpldt0(W0_402,smndt0(sz10)) )
| ~ aInteger0(W0_402) ),
inference(resolution,[status(thm)],[c_612,c_2713]) ).
tff(c_500,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_1254,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitLeft,[status(thm)],[c_500]) ).
tff(c_10356,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(smndt0(xp),smndt0(sz10))))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_10308,c_1254]) ).
tff(c_10512,plain,
~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(smndt0(xp),smndt0(sz10)))),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_2480,c_612,c_10356]) ).
tff(c_10640,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(smndt0(sz10),smndt0(xp))))
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_2745,c_10512]) ).
tff(c_10642,plain,
~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(smndt0(sz10),smndt0(xp)))),
inference(demodulation,[status(thm),theory(equality)],[c_2480,c_10640]) ).
tff(c_104037,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz00,smndt0(xp)))
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_103998,c_10642]) ).
tff(c_104118,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2480,c_10002,c_2517,c_104037]) ).
tff(c_104120,plain,
aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitRight,[status(thm)],[c_500]) ).
tff(c_498,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_909,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitLeft,[status(thm)],[c_498]) ).
tff(c_105007,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_104120,c_909]) ).
tff(c_105009,plain,
aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitRight,[status(thm)],[c_498]) ).
tff(c_106252,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitLeft,[status(thm)],[c_500]) ).
tff(c_107433,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_105009,c_106252]) ).
tff(c_107435,plain,
aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitRight,[status(thm)],[c_500]) ).
tff(c_112551,plain,
! [W0_1514] :
( ~ aDivisorOf0(xp,sdtpldt0(W0_1514,smndt0(sz10)))
| aElementOf0(W0_1514,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(W0_1514) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_112564,plain,
( aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp))) ),
inference(resolution,[status(thm)],[c_107435,c_112551]) ).
tff(c_112584,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_109953,c_112564]) ).
tff(c_112586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_657,c_112584]) ).
tff(c_112588,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitRight,[status(thm)],[c_482]) ).
tff(c_480,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_112641,plain,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitLeft,[status(thm)],[c_480]) ).
tff(c_113399,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_112588,c_112641]) ).
tff(c_113401,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitRight,[status(thm)],[c_480]) ).
tff(c_484,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_113645,plain,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitLeft,[status(thm)],[c_484]) ).
tff(c_114163,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113401,c_113645]) ).
tff(c_114165,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitRight,[status(thm)],[c_484]) ).
tff(c_115402,plain,
! [W0_1658] :
( sdteqdtlpzmzozddtrp0(W0_1658,sz10,xp)
| ~ aElementOf0(W0_1658,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_115417,plain,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(resolution,[status(thm)],[c_114165,c_115402]) ).
tff(c_115428,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_604,c_115417]) ).
tff(c_115430,plain,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(splitRight,[status(thm)],[c_488]) ).
tff(c_490,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,xp),sz10,xp)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_596,plain,
~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(splitLeft,[status(thm)],[c_490]) ).
tff(c_116041,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_115430,c_596]) ).
tff(c_116043,plain,
sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp),
inference(splitRight,[status(thm)],[c_490]) ).
tff(c_119408,plain,
! [W0_1875] :
( ~ sdteqdtlpzmzozddtrp0(W0_1875,sz10,xp)
| aElementOf0(W0_1875,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aInteger0(W0_1875) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_117064,plain,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitLeft,[status(thm)],[c_480]) ).
tff(c_119414,plain,
( ~ sdteqdtlpzmzozddtrp0(sdtpldt0(sz10,smndt0(xp)),sz10,xp)
| ~ aInteger0(sdtpldt0(sz10,smndt0(xp))) ),
inference(resolution,[status(thm)],[c_119408,c_117064]) ).
tff(c_119430,plain,
~ aInteger0(sdtpldt0(sz10,smndt0(xp))),
inference(demodulation,[status(thm),theory(equality)],[c_116043,c_119414]) ).
tff(c_119439,plain,
( ~ aInteger0(smndt0(xp))
| ~ aInteger0(sz10) ),
inference(resolution,[status(thm)],[c_10,c_119430]) ).
tff(c_119443,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_119292,c_119439]) ).
tff(c_119445,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitRight,[status(thm)],[c_480]) ).
tff(c_116616,plain,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitLeft,[status(thm)],[c_482]) ).
tff(c_120178,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_119445,c_116616]) ).
tff(c_120180,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitRight,[status(thm)],[c_482]) ).
tff(c_120631,plain,
~ aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitLeft,[status(thm)],[c_480]) ).
tff(c_121394,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_120180,c_120631]) ).
tff(c_121396,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(splitRight,[status(thm)],[c_480]) ).
tff(c_440,plain,
! [W0_287] :
( aElementOf0(W0_287,stldt0(sbsmnsldt0(xS)))
| ~ aElementOf0(W0_287,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_122811,plain,
! [W0_2070] :
( aElementOf0(W0_2070,cS2076)
| ~ aElementOf0(W0_2070,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_440]) ).
tff(c_122815,plain,
aElementOf0(sdtpldt0(sz10,smndt0(xp)),cS2076),
inference(resolution,[status(thm)],[c_121396,c_122811]) ).
tff(c_324,plain,
! [W0_221] :
( ( smndt0(sz10) = W0_221 )
| ( sz10 = W0_221 )
| ~ aElementOf0(W0_221,stldt0(sbsmnsldt0(xS))) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_529,plain,
! [W0_221] :
( ( smndt0(sz10) = W0_221 )
| ( sz10 = W0_221 )
| ~ aElementOf0(W0_221,cS2076) ),
inference(demodulation,[status(thm),theory(equality)],[c_322,c_324]) ).
tff(c_122828,plain,
( ( sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10) )
| ( sdtpldt0(sz10,smndt0(xp)) = sz10 ) ),
inference(resolution,[status(thm)],[c_122815,c_529]) ).
tff(c_123858,plain,
sdtpldt0(sz10,smndt0(xp)) = sz10,
inference(splitLeft,[status(thm)],[c_122828]) ).
tff(c_496,plain,
( ~ aElementOf0(sdtpldt0(sz10,xp),szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_121397,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitLeft,[status(thm)],[c_496]) ).
tff(c_123865,plain,
~ aDivisorOf0(xp,sdtpldt0(sz10,smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_123858,c_121397]) ).
tff(c_123959,plain,
( ~ aDivisorOf0(xp,sz00)
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_24,c_123865]) ).
tff(c_123961,plain,
~ aDivisorOf0(xp,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_123959]) ).
tff(c_123873,plain,
aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_123858,c_121396]) ).
tff(c_124433,plain,
! [W1_2136,W0_2137] :
( ( sdtpldt0(W1_2136,W0_2137) = sdtpldt0(W0_2137,W1_2136) )
| ~ aInteger0(W1_2136)
| ~ aInteger0(W0_2137) ),
inference(cnfTransformation,[status(thm)],[f_61]) ).
tff(c_124710,plain,
! [W0_2141] :
( ( sdtpldt0(sz10,W0_2141) = sdtpldt0(W0_2141,sz10) )
| ~ aInteger0(W0_2141) ),
inference(resolution,[status(thm)],[c_6,c_124433]) ).
tff(c_124763,plain,
sdtpldt0(smndt0(sz10),sz10) = sdtpldt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[c_120188,c_124710]) ).
tff(c_124884,plain,
( ( sdtpldt0(sz10,smndt0(sz10)) = sz00 )
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_124763,c_22]) ).
tff(c_124893,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_6,c_124884]) ).
tff(c_125068,plain,
! [W0_2144] :
( aDivisorOf0(xp,sdtpldt0(W0_2144,smndt0(sz10)))
| ~ aElementOf0(W0_2144,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_125077,plain,
( aDivisorOf0(xp,sz00)
| ~ aElementOf0(sz10,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(superposition,[status(thm),theory(equality)],[c_124893,c_125068]) ).
tff(c_125097,plain,
aDivisorOf0(xp,sz00),
inference(demodulation,[status(thm),theory(equality)],[c_123873,c_125077]) ).
tff(c_125099,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_123961,c_125097]) ).
tff(c_125100,plain,
sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
inference(splitRight,[status(thm)],[c_122828]) ).
tff(c_125117,plain,
aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(demodulation,[status(thm),theory(equality)],[c_125100,c_121396]) ).
tff(c_126215,plain,
! [W0_2168] :
( aDivisorOf0(xp,sdtpldt0(W0_2168,smndt0(sz10)))
| ~ aElementOf0(W0_2168,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ),
inference(cnfTransformation,[status(thm)],[f_737]) ).
tff(c_125109,plain,
~ aDivisorOf0(xp,sdtpldt0(smndt0(sz10),smndt0(sz10))),
inference(demodulation,[status(thm),theory(equality)],[c_125100,c_121397]) ).
tff(c_126218,plain,
~ aElementOf0(smndt0(sz10),szAzrzSzezqlpdtcmdtrp0(sz10,xp)),
inference(resolution,[status(thm)],[c_126215,c_125109]) ).
tff(c_126246,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_125117,c_126218]) ).
tff(c_126248,plain,
aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitRight,[status(thm)],[c_496]) ).
tff(c_502,plain,
! [W0_297] :
( ( sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) != sdtasdt0(xp,W0_297) )
| ~ aInteger0(W0_297)
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
inference(cnfTransformation,[status(thm)],[f_759]) ).
tff(c_128559,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitLeft,[status(thm)],[c_502]) ).
tff(c_129096,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_126248,c_128559]) ).
tff(c_129098,plain,
aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitRight,[status(thm)],[c_502]) ).
tff(c_127662,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))),
inference(splitLeft,[status(thm)],[c_500]) ).
tff(c_129800,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_129098,c_127662]) ).
tff(c_129801,plain,
~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10))),
inference(splitRight,[status(thm)],[c_500]) ).
tff(c_189884,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10))))
| ~ aInteger0(smndt0(sz10))
| ~ aInteger0(xp)
| ~ aInteger0(sz10) ),
inference(superposition,[status(thm),theory(equality)],[c_189797,c_129801]) ).
tff(c_190123,plain,
~ aDivisorOf0(xp,sdtpldt0(sz10,sdtpldt0(xp,smndt0(sz10)))),
inference(demodulation,[status(thm),theory(equality)],[c_6,c_452,c_120188,c_189884]) ).
tff(c_299582,plain,
~ aDivisorOf0(xp,xp),
inference(demodulation,[status(thm),theory(equality)],[c_299452,c_190123]) ).
tff(c_299585,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_188245,c_299582]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUM452+6 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.14 % 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
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 14:46:31 EDT 2023
% 0.15/0.36 % CPUTime :
% 78.36/60.20 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 78.36/60.23
% 78.36/60.23 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 78.58/60.27
% 78.58/60.27 Inference rules
% 78.58/60.27 ----------------------
% 78.58/60.27 #Ref : 19
% 78.58/60.27 #Sup : 61898
% 78.58/60.27 #Fact : 14
% 78.58/60.27 #Define : 0
% 78.58/60.27 #Split : 362
% 78.58/60.27 #Chain : 0
% 78.58/60.27 #Close : 0
% 78.58/60.27
% 78.58/60.27 Ordering : KBO
% 78.58/60.27
% 78.58/60.27 Simplification rules
% 78.58/60.27 ----------------------
% 78.58/60.27 #Subsume : 10286
% 78.58/60.27 #Demod : 83961
% 78.58/60.27 #Tautology : 26473
% 78.58/60.27 #SimpNegUnit : 1943
% 78.58/60.27 #BackRed : 1544
% 78.58/60.27
% 78.58/60.27 #Partial instantiations: 0
% 78.58/60.27 #Strategies tried : 1
% 78.58/60.27
% 78.58/60.27 Timing (in seconds)
% 78.58/60.27 ----------------------
% 78.58/60.28 Preprocessing : 0.82
% 78.58/60.28 Parsing : 0.38
% 78.58/60.28 CNF conversion : 0.08
% 78.58/60.28 Main loop : 58.36
% 78.58/60.28 Inferencing : 8.47
% 78.58/60.28 Reduction : 32.99
% 78.58/60.28 Demodulation : 28.06
% 78.58/60.28 BG Simplification : 0.39
% 78.58/60.28 Subsumption : 13.58
% 78.58/60.28 Abstraction : 0.69
% 78.58/60.28 MUC search : 0.00
% 78.58/60.28 Cooper : 0.00
% 78.58/60.28 Total : 59.27
% 78.58/60.28 Index Insertion : 0.00
% 78.58/60.28 Index Deletion : 0.00
% 78.58/60.28 Index Matching : 0.00
% 78.58/60.28 BG Taut test : 0.00
%------------------------------------------------------------------------------