TSTP Solution File: NUM440+6 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM440+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/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 : n027.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 10:51:40 EDT 2023
% Result : Theorem 98.12s 75.65s
% Output : CNFRefutation 98.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 55
% Syntax : Number of formulae : 444 ( 162 unt; 50 typ; 3 def)
% Number of atoms : 1031 ( 9 equ)
% Maximal formula atoms : 64 ( 2 avg)
% Number of connectives : 1104 ( 467 ~; 528 |; 67 &)
% ( 18 <=>; 24 =>; 0 <=; 0 <~>)
% Maximal formula depth : 33 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 75 ( 41 >; 34 *; 0 +; 0 <<)
% Number of predicates : 12 ( 10 usr; 1 prp; 0-3 aty)
% Number of functors : 40 ( 40 usr; 9 con; 0-3 aty)
% Number of variables : 147 (; 141 !; 6 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdteqdtlpzmzozddtrp0 > aSubsetOf0 > aElementOf0 > aDivisorOf0 > isPrime0 > isOpen0 > isFinite0 > isClosed0 > aSet0 > aInteger0 > szAzrzSzezqlpdtcmdtrp0 > sdtslmnbsdt0 > sdtpldt0 > sdtbsmnsldt0 > sdtasdt0 > #nlpp > stldt0 > smndt0 > sbsmnsldt0 > xB > xA > sz10 > sz00 > cS1395 > #skF_11 > #skF_2 > #skF_18 > #skF_6 > #skF_19 > #skF_17 > #skF_25 > #skF_22 > #skF_12 > #skF_8 > #skF_4 > #skF_3 > #skF_13 > #skF_14 > #skF_26 > #skF_5 > #skF_10 > #skF_7 > #skF_15 > #skF_23 > #skF_24 > #skF_27 > #skF_1 > #skF_21 > #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_11',type,
'#skF_11': ( $i * $i ) > $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_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_25',type,
'#skF_25': $i ).
tff('#skF_22',type,
'#skF_22': $i > $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_26',type,
'#skF_26': $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(sdtslmnbsdt0,type,
sdtslmnbsdt0: ( $i * $i ) > $i ).
tff(isPrime0,type,
isPrime0: $i > $o ).
tff(xB,type,
xB: $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('#skF_24',type,
'#skF_24': $i ).
tff('#skF_27',type,
'#skF_27': $i ).
tff(xA,type,
xA: $i ).
tff(sdteqdtlpzmzozddtrp0,type,
sdteqdtlpzmzozddtrp0: ( $i * $i * $i ) > $o ).
tff('#skF_1',type,
'#skF_1': ( $i * $i ) > $i ).
tff('#skF_21',type,
'#skF_21': ( $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_542,hypothesis,
( aSet0(cS1395)
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(xA)
& ! [W0] :
( aElementOf0(W0,xA)
=> aElementOf0(W0,cS1395) )
& aSubsetOf0(xA,cS1395)
& aSet0(cS1395)
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(xB)
& ! [W0] :
( aElementOf0(W0,xB)
=> aElementOf0(W0,cS1395) )
& aSubsetOf0(xB,cS1395)
& aSet0(stldt0(xA))
& ! [W0] :
( aElementOf0(W0,stldt0(xA))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,xA) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(xA))
=> ? [W1] :
( aInteger0(W1)
& ( W1 != sz00 )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> ( aInteger0(W2)
& ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) ) )
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
& ( ( aInteger0(W2)
& ( ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) ) )
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
| sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> aElementOf0(W2,stldt0(xA)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(xA)) ) )
& isOpen0(stldt0(xA))
& isClosed0(xA)
& aSet0(stldt0(xB))
& ! [W0] :
( aElementOf0(W0,stldt0(xB))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,xB) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(xB))
=> ? [W1] :
( aInteger0(W1)
& ( W1 != sz00 )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> ( aInteger0(W2)
& ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) ) )
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
& ( ( aInteger0(W2)
& ( ? [W3] :
( aInteger0(W3)
& ( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0)) ) )
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
| sdteqdtlpzmzozddtrp0(W2,W0,W1) ) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> aElementOf0(W2,stldt0(xB)) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(xB)) ) )
& isOpen0(stldt0(xB))
& isClosed0(xB) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1826) ).
tff(f_638,negated_conjecture,
~ ( ( ( aSet0(stldt0(xA))
& ! [W0] :
( aElementOf0(W0,stldt0(xA))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,xA) ) ) )
=> ( ( aSet0(cS1395)
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) ) )
=> ( ! [W0] :
( aElementOf0(W0,stldt0(xA))
=> aElementOf0(W0,cS1395) )
| aSubsetOf0(stldt0(xA),cS1395) ) ) )
& ( ( aSet0(stldt0(xB))
& ! [W0] :
( aElementOf0(W0,stldt0(xB))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,xB) ) ) )
=> ( ( aSet0(cS1395)
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) ) )
=> ( ! [W0] :
( aElementOf0(W0,stldt0(xB))
=> aElementOf0(W0,cS1395) )
| aSubsetOf0(stldt0(xB),cS1395) ) ) )
& ( ( aSet0(sdtbsmnsldt0(xA,xB))
& ! [W0] :
( aElementOf0(W0,sdtbsmnsldt0(xA,xB))
<=> ( aInteger0(W0)
& ( aElementOf0(W0,xA)
| aElementOf0(W0,xB) ) ) ) )
=> ( ( aSet0(stldt0(sdtbsmnsldt0(xA,xB)))
& ! [W0] :
( aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sdtbsmnsldt0(xA,xB)) ) ) )
=> ( ! [W0] :
( aElementOf0(W0,stldt0(xA))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,xA) ) )
=> ( ! [W0] :
( aElementOf0(W0,stldt0(xB))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,xB) ) )
=> ( ! [W0] :
( aElementOf0(W0,stldt0(sdtbsmnsldt0(xA,xB)))
<=> ( aInteger0(W0)
& aElementOf0(W0,stldt0(xA))
& aElementOf0(W0,stldt0(xB)) ) )
| ( stldt0(sdtbsmnsldt0(xA,xB)) = sdtslmnbsdt0(stldt0(xA),stldt0(xB)) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_254,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubset) ).
tff(f_332,definition,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ! [W1] :
( ( W1 = stldt0(W0) )
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
<=> ( aInteger0(W2)
& ~ aElementOf0(W2,W0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mComplement) ).
tff(f_277,definition,
! [W0,W1] :
( ( aSubsetOf0(W0,cS1395)
& aSubsetOf0(W1,cS1395) )
=> ! [W2] :
( ( W2 = sdtbsmnsldt0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aInteger0(W3)
& ( aElementOf0(W3,W0)
| aElementOf0(W3,W1) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mUnion) ).
tff(c_290,plain,
aSubsetOf0(xA,cS1395),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_5343,plain,
! [W0_238] :
( aElementOf0(W0_238,cS1395)
| ~ aInteger0(W0_238) ),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_4984,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_5341,plain,
~ aElementOf0('#skF_25',cS1395),
inference(splitLeft,[status(thm)],[c_4984]) ).
tff(c_5347,plain,
~ aInteger0('#skF_25'),
inference(resolution,[status(thm)],[c_5343,c_5341]) ).
tff(c_278,plain,
aSubsetOf0(xB,cS1395),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_4962,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_5838,plain,
~ aSubsetOf0(stldt0(xB),cS1395),
inference(splitLeft,[status(thm)],[c_4962]) ).
tff(c_300,plain,
aSet0(cS1395),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_268,plain,
aSet0(stldt0(xB)),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_16242,plain,
! [W0_495,W1_496] :
( aElementOf0('#skF_3'(W0_495,W1_496),W1_496)
| aSubsetOf0(W1_496,W0_495)
| ~ aSet0(W1_496)
| ~ aSet0(W0_495) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_330,plain,
! [W0_198] :
( aInteger0(W0_198)
| ~ aElementOf0(W0_198,stldt0(xB)) ),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_16293,plain,
! [W0_495] :
( aInteger0('#skF_3'(W0_495,stldt0(xB)))
| aSubsetOf0(stldt0(xB),W0_495)
| ~ aSet0(stldt0(xB))
| ~ aSet0(W0_495) ),
inference(resolution,[status(thm)],[c_16242,c_330]) ).
tff(c_31347,plain,
! [W0_763] :
( aInteger0('#skF_3'(W0_763,stldt0(xB)))
| aSubsetOf0(stldt0(xB),W0_763)
| ~ aSet0(W0_763) ),
inference(demodulation,[status(thm),theory(equality)],[c_268,c_16293]) ).
tff(c_298,plain,
! [W0_228] :
( aElementOf0(W0_228,cS1395)
| ~ aInteger0(W0_228) ),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_16507,plain,
! [W0_501,W1_502] :
( ~ aElementOf0('#skF_3'(W0_501,W1_502),W0_501)
| aSubsetOf0(W1_502,W0_501)
| ~ aSet0(W1_502)
| ~ aSet0(W0_501) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_16535,plain,
! [W1_502] :
( aSubsetOf0(W1_502,cS1395)
| ~ aSet0(W1_502)
| ~ aSet0(cS1395)
| ~ aInteger0('#skF_3'(cS1395,W1_502)) ),
inference(resolution,[status(thm)],[c_298,c_16507]) ).
tff(c_16552,plain,
! [W1_502] :
( aSubsetOf0(W1_502,cS1395)
| ~ aSet0(W1_502)
| ~ aInteger0('#skF_3'(cS1395,W1_502)) ),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_16535]) ).
tff(c_31398,plain,
( ~ aSet0(stldt0(xB))
| aSubsetOf0(stldt0(xB),cS1395)
| ~ aSet0(cS1395) ),
inference(resolution,[status(thm)],[c_31347,c_16552]) ).
tff(c_31421,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_268,c_31398]) ).
tff(c_31423,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5838,c_31421]) ).
tff(c_31424,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(splitRight,[status(thm)],[c_4962]) ).
tff(c_31432,plain,
~ aSubsetOf0(stldt0(xA),cS1395),
inference(splitLeft,[status(thm)],[c_31424]) ).
tff(c_276,plain,
aSet0(stldt0(xA)),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_40755,plain,
! [W0_956,W1_957] :
( aElementOf0('#skF_3'(W0_956,W1_957),W1_957)
| aSubsetOf0(W1_957,W0_956)
| ~ aSet0(W1_957)
| ~ aSet0(W0_956) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_360,plain,
! [W0_224] :
( aInteger0(W0_224)
| ~ aElementOf0(W0_224,stldt0(xA)) ),
inference(cnfTransformation,[status(thm)],[f_542]) ).
tff(c_40817,plain,
! [W0_956] :
( aInteger0('#skF_3'(W0_956,stldt0(xA)))
| aSubsetOf0(stldt0(xA),W0_956)
| ~ aSet0(stldt0(xA))
| ~ aSet0(W0_956) ),
inference(resolution,[status(thm)],[c_40755,c_360]) ).
tff(c_61790,plain,
! [W0_1291] :
( aInteger0('#skF_3'(W0_1291,stldt0(xA)))
| aSubsetOf0(stldt0(xA),W0_1291)
| ~ aSet0(W0_1291) ),
inference(demodulation,[status(thm),theory(equality)],[c_276,c_40817]) ).
tff(c_40573,plain,
! [W0_952,W1_953] :
( ~ aElementOf0('#skF_3'(W0_952,W1_953),W0_952)
| aSubsetOf0(W1_953,W0_952)
| ~ aSet0(W1_953)
| ~ aSet0(W0_952) ),
inference(cnfTransformation,[status(thm)],[f_254]) ).
tff(c_40593,plain,
! [W1_953] :
( aSubsetOf0(W1_953,cS1395)
| ~ aSet0(W1_953)
| ~ aSet0(cS1395)
| ~ aInteger0('#skF_3'(cS1395,W1_953)) ),
inference(resolution,[status(thm)],[c_298,c_40573]) ).
tff(c_40608,plain,
! [W1_953] :
( aSubsetOf0(W1_953,cS1395)
| ~ aSet0(W1_953)
| ~ aInteger0('#skF_3'(cS1395,W1_953)) ),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_40593]) ).
tff(c_61841,plain,
( ~ aSet0(stldt0(xA))
| aSubsetOf0(stldt0(xA),cS1395)
| ~ aSet0(cS1395) ),
inference(resolution,[status(thm)],[c_61790,c_40608]) ).
tff(c_61864,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(demodulation,[status(thm),theory(equality)],[c_300,c_276,c_61841]) ).
tff(c_61866,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_31432,c_61864]) ).
tff(c_61868,plain,
aSubsetOf0(stldt0(xA),cS1395),
inference(splitRight,[status(thm)],[c_31424]) ).
tff(c_4402,plain,
! [W0_233] :
( ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aInteger0(W0_233)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_71165,plain,
! [W0_233] :
( aElementOf0('#skF_25',stldt0(xB))
| aInteger0(W0_233)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_61868,c_4402]) ).
tff(c_71166,plain,
aElementOf0('#skF_25',stldt0(xB)),
inference(splitLeft,[status(thm)],[c_71165]) ).
tff(c_208,plain,
! [W2_145,W0_136] :
( aInteger0(W2_145)
| ~ aElementOf0(W2_145,stldt0(W0_136))
| ~ aSubsetOf0(W0_136,cS1395) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_71176,plain,
( aInteger0('#skF_25')
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_71166,c_208]) ).
tff(c_71198,plain,
aInteger0('#skF_25'),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_71176]) ).
tff(c_71200,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5347,c_71198]) ).
tff(c_71202,plain,
~ aElementOf0('#skF_25',stldt0(xB)),
inference(splitRight,[status(thm)],[c_71165]) ).
tff(c_5004,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aSet0(sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_5452,plain,
~ aElementOf0('#skF_24',cS1395),
inference(splitLeft,[status(thm)],[c_5004]) ).
tff(c_5456,plain,
~ aInteger0('#skF_24'),
inference(resolution,[status(thm)],[c_298,c_5452]) ).
tff(c_3606,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_25',stldt0(xB))
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_110912,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_71202,c_3606]) ).
tff(c_110913,plain,
aElementOf0('#skF_24',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_110912]) ).
tff(c_110923,plain,
( aInteger0('#skF_24')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_110913,c_208]) ).
tff(c_110945,plain,
aInteger0('#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_110923]) ).
tff(c_110947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5456,c_110945]) ).
tff(c_110949,plain,
~ aElementOf0('#skF_24',stldt0(xA)),
inference(splitRight,[status(thm)],[c_110912]) ).
tff(c_31425,plain,
aSubsetOf0(stldt0(xB),cS1395),
inference(splitRight,[status(thm)],[c_4962]) ).
tff(c_1962,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_110471,plain,
( aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_61868,c_1962]) ).
tff(c_110472,plain,
aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitLeft,[status(thm)],[c_110471]) ).
tff(c_110960,plain,
! [W0_2056] :
( aInteger0(W0_2056)
| ~ aElementOf0(W0_2056,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(splitRight,[status(thm)],[c_110912]) ).
tff(c_110984,plain,
aInteger0('#skF_27'),
inference(resolution,[status(thm)],[c_110472,c_110960]) ).
tff(c_4766,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_122778,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_4766]) ).
tff(c_122779,plain,
! [W0_233] :
( ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(negUnitSimplification,[status(thm)],[c_110949,c_122778]) ).
tff(c_3402,plain,
! [W0_234] :
( ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_132114,plain,
! [W0_234] :
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_61868,c_3402]) ).
tff(c_132116,plain,
! [W0_2180] :
( ~ aElementOf0(W0_2180,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_2180,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_71202,c_132114]) ).
tff(c_132161,plain,
~ aElementOf0('#skF_27',sdtbsmnsldt0(xA,xB)),
inference(resolution,[status(thm)],[c_110472,c_132116]) ).
tff(c_132178,plain,
( ~ aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27') ),
inference(resolution,[status(thm)],[c_122779,c_132161]) ).
tff(c_132190,plain,
~ aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_110984,c_132178]) ).
tff(c_202,plain,
! [W2_145,W0_136] :
( aElementOf0(W2_145,stldt0(W0_136))
| aElementOf0(W2_145,W0_136)
| ~ aInteger0(W2_145)
| ~ aSubsetOf0(W0_136,cS1395) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_1166,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_138611,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_110984,c_31425,c_1166]) ).
tff(c_138612,plain,
( aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(negUnitSimplification,[status(thm)],[c_110949,c_138611]) ).
tff(c_138613,plain,
~ aElementOf0('#skF_27',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_138612]) ).
tff(c_138616,plain,
( aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_138613]) ).
tff(c_138622,plain,
aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_110984,c_138616]) ).
tff(c_138624,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132190,c_138622]) ).
tff(c_138626,plain,
aElementOf0('#skF_27',stldt0(xA)),
inference(splitRight,[status(thm)],[c_138612]) ).
tff(c_4566,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_125117,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_4566]) ).
tff(c_125118,plain,
! [W0_233] :
( ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(negUnitSimplification,[status(thm)],[c_110949,c_125117]) ).
tff(c_132175,plain,
( ~ aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27') ),
inference(resolution,[status(thm)],[c_125118,c_132161]) ).
tff(c_132187,plain,
~ aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_110984,c_132175]) ).
tff(c_138625,plain,
( ~ aElementOf0('#skF_27',stldt0(xB))
| aInteger0('#skF_26') ),
inference(splitRight,[status(thm)],[c_138612]) ).
tff(c_139016,plain,
~ aElementOf0('#skF_27',stldt0(xB)),
inference(splitLeft,[status(thm)],[c_138625]) ).
tff(c_139019,plain,
( aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_139016]) ).
tff(c_139025,plain,
aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_110984,c_139019]) ).
tff(c_139027,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_132187,c_139025]) ).
tff(c_139029,plain,
aElementOf0('#skF_27',stldt0(xB)),
inference(splitRight,[status(thm)],[c_138625]) ).
tff(c_1006,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xA))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_143706,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_110984,c_138626,c_139029,c_1006]) ).
tff(c_143707,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_71202,c_110949,c_143706]) ).
tff(c_206,plain,
! [W2_145,W0_136] :
( ~ aElementOf0(W2_145,W0_136)
| ~ aElementOf0(W2_145,stldt0(W0_136))
| ~ aSubsetOf0(W0_136,cS1395) ),
inference(cnfTransformation,[status(thm)],[f_332]) ).
tff(c_143716,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_143707,c_206]) ).
tff(c_143741,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_143716]) ).
tff(c_762,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0('#skF_26',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_144047,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(demodulation,[status(thm),theory(equality)],[c_110984,c_138626,c_139029,c_31425,c_61868,c_762]) ).
tff(c_144056,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_144047,c_206]) ).
tff(c_144081,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_144056]) ).
tff(c_139028,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_138625]) ).
tff(c_3766,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_141285,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_3766]) ).
tff(c_141286,plain,
! [W0_234] :
( aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(negUnitSimplification,[status(thm)],[c_110949,c_141285]) ).
tff(c_602,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_149840,plain,
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_110984,c_138626,c_139029,c_61868,c_602]) ).
tff(c_149841,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_71202,c_149840]) ).
tff(c_149844,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_141286,c_149841]) ).
tff(c_149850,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_139028,c_149844]) ).
tff(c_4166,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_132749,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_4166]) ).
tff(c_132750,plain,
! [W0_233] :
( aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(negUnitSimplification,[status(thm)],[c_110949,c_132749]) ).
tff(c_149856,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(resolution,[status(thm)],[c_149850,c_132750]) ).
tff(c_149875,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_143741,c_144081,c_149856]) ).
tff(c_149877,plain,
~ aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitRight,[status(thm)],[c_110471]) ).
tff(c_1762,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_166435,plain,
( aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_61868,c_1762]) ).
tff(c_166436,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_149877,c_166435]) ).
tff(c_166443,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_166436,c_206]) ).
tff(c_166465,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_166443]) ).
tff(c_1562,plain,
( ~ aSubsetOf0(stldt0(xA),cS1395)
| ~ aSubsetOf0(stldt0(xB),cS1395)
| aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_163421,plain,
( aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_61868,c_1562]) ).
tff(c_163422,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(negUnitSimplification,[status(thm)],[c_149877,c_163421]) ).
tff(c_163429,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_163422,c_206]) ).
tff(c_163451,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_163429]) ).
tff(c_149876,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_110471]) ).
tff(c_162458,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(demodulation,[status(thm),theory(equality)],[c_31425,c_4766]) ).
tff(c_162459,plain,
aElementOf0('#skF_24',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_162458]) ).
tff(c_162469,plain,
( aInteger0('#skF_24')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_162459,c_208]) ).
tff(c_162491,plain,
aInteger0('#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_162469]) ).
tff(c_162493,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5456,c_162491]) ).
tff(c_162495,plain,
~ aElementOf0('#skF_24',stldt0(xA)),
inference(splitRight,[status(thm)],[c_162458]) ).
tff(c_3806,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_185562,plain,
! [W0_2438] :
( aElementOf0(W0_2438,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_2438,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_2438) ),
inference(negUnitSimplification,[status(thm)],[c_71202,c_162495,c_3806]) ).
tff(c_1406,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_180044,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_149877,c_71202,c_162495,c_1406]) ).
tff(c_185565,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_185562,c_180044]) ).
tff(c_185600,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_149876,c_185565]) ).
tff(c_4206,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_175765,plain,
! [W0_233] :
( aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(negUnitSimplification,[status(thm)],[c_71202,c_162495,c_4206]) ).
tff(c_185618,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(resolution,[status(thm)],[c_185600,c_175765]) ).
tff(c_185637,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_166465,c_163451,c_185618]) ).
tff(c_185638,plain,
( aSet0(sdtbsmnsldt0(xA,xB))
| aElementOf0('#skF_25',stldt0(xB)) ),
inference(splitRight,[status(thm)],[c_5004]) ).
tff(c_186013,plain,
aElementOf0('#skF_25',stldt0(xB)),
inference(splitLeft,[status(thm)],[c_185638]) ).
tff(c_186025,plain,
aInteger0('#skF_25'),
inference(resolution,[status(thm)],[c_186013,c_330]) ).
tff(c_186032,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_5347,c_186025]) ).
tff(c_186034,plain,
~ aElementOf0('#skF_25',stldt0(xB)),
inference(splitRight,[status(thm)],[c_185638]) ).
tff(c_185639,plain,
aElementOf0('#skF_24',cS1395),
inference(splitRight,[status(thm)],[c_5004]) ).
tff(c_2004,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_195509,plain,
( aElementOf0('#skF_25',stldt0(xB))
| aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_2004]) ).
tff(c_195510,plain,
( aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_195509]) ).
tff(c_195511,plain,
aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitLeft,[status(thm)],[c_195510]) ).
tff(c_3604,plain,
! [W0_234] :
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_198176,plain,
! [W0_234] :
( aElementOf0('#skF_25',stldt0(xB))
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_3604]) ).
tff(c_198178,plain,
! [W0_2666] :
( aInteger0(W0_2666)
| ~ aElementOf0(W0_2666,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_198176]) ).
tff(c_198203,plain,
aInteger0('#skF_27'),
inference(resolution,[status(thm)],[c_195511,c_198178]) ).
tff(c_4804,plain,
! [W0_233] :
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_204204,plain,
! [W0_233] :
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_4804]) ).
tff(c_204205,plain,
! [W0_233] :
( ~ aElementOf0(W0_233,xA)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_204204]) ).
tff(c_3404,plain,
! [W0_234] :
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_217300,plain,
! [W0_234] :
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_3404]) ).
tff(c_217302,plain,
! [W0_2818] :
( ~ aElementOf0(W0_2818,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_2818,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_217300]) ).
tff(c_217348,plain,
~ aElementOf0('#skF_27',sdtbsmnsldt0(xA,xB)),
inference(resolution,[status(thm)],[c_195511,c_217302]) ).
tff(c_217364,plain,
( ~ aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27') ),
inference(resolution,[status(thm)],[c_204205,c_217348]) ).
tff(c_217376,plain,
~ aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_198203,c_217364]) ).
tff(c_1204,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_226556,plain,
( aElementOf0('#skF_25',stldt0(xB))
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_198203,c_185639,c_1204]) ).
tff(c_226557,plain,
( aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_226556]) ).
tff(c_226558,plain,
~ aElementOf0('#skF_27',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_226557]) ).
tff(c_226561,plain,
( aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_226558]) ).
tff(c_226567,plain,
aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_198203,c_226561]) ).
tff(c_226569,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217376,c_226567]) ).
tff(c_226571,plain,
aElementOf0('#skF_27',stldt0(xA)),
inference(splitRight,[status(thm)],[c_226557]) ).
tff(c_4604,plain,
! [W0_233] :
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_206943,plain,
! [W0_233] :
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_4604]) ).
tff(c_206944,plain,
! [W0_233] :
( ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_206943]) ).
tff(c_217361,plain,
( ~ aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27') ),
inference(resolution,[status(thm)],[c_206944,c_217348]) ).
tff(c_217373,plain,
~ aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_198203,c_217361]) ).
tff(c_226570,plain,
( ~ aElementOf0('#skF_27',stldt0(xB))
| aInteger0('#skF_26') ),
inference(splitRight,[status(thm)],[c_226557]) ).
tff(c_226900,plain,
~ aElementOf0('#skF_27',stldt0(xB)),
inference(splitLeft,[status(thm)],[c_226570]) ).
tff(c_226939,plain,
( aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_226900]) ).
tff(c_226945,plain,
aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_198203,c_226939]) ).
tff(c_226947,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_217373,c_226945]) ).
tff(c_226949,plain,
aElementOf0('#skF_27',stldt0(xB)),
inference(splitRight,[status(thm)],[c_226570]) ).
tff(c_1004,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xA))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_235713,plain,
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_198203,c_226571,c_226949,c_185639,c_1004]) ).
tff(c_235714,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_186034,c_235713]) ).
tff(c_235723,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_235714,c_206]) ).
tff(c_235748,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_235723]) ).
tff(c_804,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_235482,plain,
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_198203,c_226571,c_226949,c_185639,c_804]) ).
tff(c_235483,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(negUnitSimplification,[status(thm)],[c_186034,c_235482]) ).
tff(c_235492,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_235483,c_206]) ).
tff(c_235517,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_235492]) ).
tff(c_226948,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_226570]) ).
tff(c_3804,plain,
! [W0_234] :
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_231428,plain,
! [W0_234] :
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_3804]) ).
tff(c_231429,plain,
! [W0_234] :
( aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_231428]) ).
tff(c_604,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_241945,plain,
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_198203,c_226571,c_226949,c_185639,c_604]) ).
tff(c_241946,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_186034,c_241945]) ).
tff(c_241949,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_231429,c_241946]) ).
tff(c_241955,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_226948,c_241949]) ).
tff(c_4204,plain,
! [W0_233] :
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_214581,plain,
! [W0_233] :
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_4204]) ).
tff(c_214582,plain,
! [W0_233] :
( aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_214581]) ).
tff(c_241963,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(resolution,[status(thm)],[c_241955,c_214582]) ).
tff(c_241983,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235748,c_235517,c_241963]) ).
tff(c_241985,plain,
~ aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitRight,[status(thm)],[c_195510]) ).
tff(c_1804,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_250651,plain,
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_1804]) ).
tff(c_250652,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_241985,c_186034,c_250651]) ).
tff(c_250659,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_250652,c_206]) ).
tff(c_250681,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_250659]) ).
tff(c_1604,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_252384,plain,
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_1604]) ).
tff(c_252385,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(negUnitSimplification,[status(thm)],[c_241985,c_186034,c_252384]) ).
tff(c_252392,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_252385,c_206]) ).
tff(c_252414,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_252392]) ).
tff(c_241984,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_195510]) ).
tff(c_281098,plain,
! [W0_234] :
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_3804]) ).
tff(c_281100,plain,
! [W0_3151] :
( aElementOf0(W0_3151,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_3151,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_3151) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_281098]) ).
tff(c_1404,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_276340,plain,
( aElementOf0('#skF_25',stldt0(xB))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_1404]) ).
tff(c_276341,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_241985,c_186034,c_276340]) ).
tff(c_281103,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_281100,c_276341]) ).
tff(c_281138,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_241984,c_281103]) ).
tff(c_260443,plain,
! [W0_233] :
( aElementOf0('#skF_25',stldt0(xB))
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_185639,c_4204]) ).
tff(c_260444,plain,
! [W0_233] :
( aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(negUnitSimplification,[status(thm)],[c_186034,c_260443]) ).
tff(c_281156,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(resolution,[status(thm)],[c_281138,c_260444]) ).
tff(c_281175,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_250681,c_252414,c_281156]) ).
tff(c_281177,plain,
aElementOf0('#skF_25',cS1395),
inference(splitRight,[status(thm)],[c_4984]) ).
tff(c_3984,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aSet0(stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_281192,plain,
( ~ aElementOf0('#skF_24',cS1395)
| aSet0(stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_3984]) ).
tff(c_281193,plain,
~ aElementOf0('#skF_24',cS1395),
inference(splitLeft,[status(thm)],[c_281192]) ).
tff(c_281197,plain,
~ aInteger0('#skF_24'),
inference(resolution,[status(thm)],[c_298,c_281193]) ).
tff(c_4386,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0(W0_233)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_287745,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| aInteger0(W0_233)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_4386]) ).
tff(c_287746,plain,
aElementOf0('#skF_24',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_287745]) ).
tff(c_287754,plain,
( aInteger0('#skF_24')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_287746,c_208]) ).
tff(c_287773,plain,
aInteger0('#skF_24'),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_287754]) ).
tff(c_287775,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_281197,c_287773]) ).
tff(c_287777,plain,
~ aElementOf0('#skF_24',stldt0(xA)),
inference(splitRight,[status(thm)],[c_287745]) ).
tff(c_1986,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_288238,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_1986]) ).
tff(c_288239,plain,
( aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_288238]) ).
tff(c_288240,plain,
aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitLeft,[status(thm)],[c_288239]) ).
tff(c_3586,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_291283,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_3586]) ).
tff(c_291285,plain,
! [W0_3358] :
( aInteger0(W0_3358)
| ~ aElementOf0(W0_3358,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_291283]) ).
tff(c_291313,plain,
aInteger0('#skF_27'),
inference(resolution,[status(thm)],[c_288240,c_291285]) ).
tff(c_104,plain,
! [W3_83,W0_73,W1_74] :
( ~ aElementOf0(W3_83,W0_73)
| aElementOf0(W3_83,sdtbsmnsldt0(W0_73,W1_74))
| ~ aInteger0(W3_83)
| ~ aSubsetOf0(W1_74,cS1395)
| ~ aSubsetOf0(W0_73,cS1395) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_3386,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_311148,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_3386]) ).
tff(c_311150,plain,
! [W0_3523] :
( ~ aElementOf0(W0_3523,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_3523,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_311148]) ).
tff(c_311199,plain,
~ aElementOf0('#skF_27',sdtbsmnsldt0(xA,xB)),
inference(resolution,[status(thm)],[c_288240,c_311150]) ).
tff(c_311289,plain,
( ~ aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_104,c_311199]) ).
tff(c_311301,plain,
~ aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_278,c_291313,c_311289]) ).
tff(c_1186,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_317704,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_291313,c_281177,c_1186]) ).
tff(c_317705,plain,
( aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_317704]) ).
tff(c_317706,plain,
~ aElementOf0('#skF_27',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_317705]) ).
tff(c_317709,plain,
( aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_317706]) ).
tff(c_317715,plain,
aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_291313,c_317709]) ).
tff(c_317717,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311301,c_317715]) ).
tff(c_317719,plain,
aElementOf0('#skF_27',stldt0(xA)),
inference(splitRight,[status(thm)],[c_317705]) ).
tff(c_4586,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_297790,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_4586]) ).
tff(c_297791,plain,
! [W0_233] :
( ~ aElementOf0(W0_233,xB)
| aElementOf0(W0_233,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_233) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_297790]) ).
tff(c_311283,plain,
( ~ aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27') ),
inference(resolution,[status(thm)],[c_297791,c_311199]) ).
tff(c_311295,plain,
~ aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_291313,c_311283]) ).
tff(c_317718,plain,
( ~ aElementOf0('#skF_27',stldt0(xB))
| aInteger0('#skF_26') ),
inference(splitRight,[status(thm)],[c_317705]) ).
tff(c_318126,plain,
~ aElementOf0('#skF_27',stldt0(xB)),
inference(splitLeft,[status(thm)],[c_317718]) ).
tff(c_318131,plain,
( aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_318126]) ).
tff(c_318137,plain,
aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_291313,c_318131]) ).
tff(c_318139,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_311295,c_318137]) ).
tff(c_318141,plain,
aElementOf0('#skF_27',stldt0(xB)),
inference(splitRight,[status(thm)],[c_317718]) ).
tff(c_986,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xA))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_329634,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_26',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_291313,c_317719,c_318141,c_281177,c_986]) ).
tff(c_329635,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_287777,c_329634]) ).
tff(c_329644,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_329635,c_206]) ).
tff(c_329669,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_329644]) ).
tff(c_786,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_328310,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_26',stldt0(xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_291313,c_317719,c_318141,c_281177,c_786]) ).
tff(c_328311,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(negUnitSimplification,[status(thm)],[c_287777,c_328310]) ).
tff(c_328320,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_328311,c_206]) ).
tff(c_328345,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_328320]) ).
tff(c_318140,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_317718]) ).
tff(c_3786,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_323213,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_3786]) ).
tff(c_323214,plain,
! [W0_234] :
( aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_323213]) ).
tff(c_586,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_336416,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_291313,c_317719,c_318141,c_281177,c_586]) ).
tff(c_336417,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_287777,c_336416]) ).
tff(c_336420,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_323214,c_336417]) ).
tff(c_336426,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_318140,c_336420]) ).
tff(c_4186,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_316928,plain,
! [W0_233] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_4186]) ).
tff(c_316929,plain,
! [W0_233] :
( aElementOf0(W0_233,xB)
| aElementOf0(W0_233,xA)
| ~ aElementOf0(W0_233,sdtbsmnsldt0(xA,xB)) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_316928]) ).
tff(c_336434,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(resolution,[status(thm)],[c_336426,c_316929]) ).
tff(c_336454,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_329669,c_328345,c_336434]) ).
tff(c_336456,plain,
~ aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitRight,[status(thm)],[c_288239]) ).
tff(c_1786,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_347142,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_1786]) ).
tff(c_347143,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_336456,c_287777,c_347142]) ).
tff(c_347150,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_347143,c_206]) ).
tff(c_347172,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_347150]) ).
tff(c_1586,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_346786,plain,
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_1586]) ).
tff(c_346787,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(negUnitSimplification,[status(thm)],[c_336456,c_287777,c_346786]) ).
tff(c_346794,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_346787,c_206]) ).
tff(c_346816,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_346794]) ).
tff(c_336455,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_288239]) ).
tff(c_371722,plain,
! [W0_234] :
( aElementOf0('#skF_24',stldt0(xA))
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_3786]) ).
tff(c_371724,plain,
! [W0_3850] :
( aElementOf0(W0_3850,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_3850,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_3850) ),
inference(negUnitSimplification,[status(thm)],[c_287777,c_371722]) ).
tff(c_1386,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_365900,plain,
( aElementOf0('#skF_24',stldt0(xA))
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_1386]) ).
tff(c_365901,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_336456,c_287777,c_365900]) ).
tff(c_371727,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_371724,c_365901]) ).
tff(c_371762,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_336455,c_371727]) ).
tff(c_98,plain,
! [W3_83,W1_74,W0_73] :
( aElementOf0(W3_83,W1_74)
| aElementOf0(W3_83,W0_73)
| ~ aElementOf0(W3_83,sdtbsmnsldt0(W0_73,W1_74))
| ~ aSubsetOf0(W1_74,cS1395)
| ~ aSubsetOf0(W0_73,cS1395) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_371782,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xB,cS1395)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_371762,c_98]) ).
tff(c_371801,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_278,c_371782]) ).
tff(c_371803,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_347172,c_346816,c_371801]) ).
tff(c_371805,plain,
aElementOf0('#skF_24',cS1395),
inference(splitRight,[status(thm)],[c_281192]) ).
tff(c_1984,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_378299,plain,
( aInteger0('#skF_26')
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_1984]) ).
tff(c_378300,plain,
aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitLeft,[status(thm)],[c_378299]) ).
tff(c_3584,plain,
! [W0_234] :
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_377496,plain,
! [W0_234] :
( aInteger0(W0_234)
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_3584]) ).
tff(c_378310,plain,
aInteger0('#skF_27'),
inference(resolution,[status(thm)],[c_378300,c_377496]) ).
tff(c_3384,plain,
! [W0_234] :
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_388024,plain,
! [W0_4090] :
( ~ aElementOf0(W0_4090,sdtbsmnsldt0(xA,xB))
| ~ aElementOf0(W0_4090,stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_3384]) ).
tff(c_388059,plain,
~ aElementOf0('#skF_27',sdtbsmnsldt0(xA,xB)),
inference(resolution,[status(thm)],[c_378300,c_388024]) ).
tff(c_388069,plain,
( ~ aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_104,c_388059]) ).
tff(c_388081,plain,
~ aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_278,c_378310,c_388069]) ).
tff(c_1184,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_394980,plain,
( aInteger0('#skF_26')
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA)) ),
inference(demodulation,[status(thm),theory(equality)],[c_378310,c_281177,c_371805,c_1184]) ).
tff(c_394981,plain,
~ aElementOf0('#skF_27',stldt0(xA)),
inference(splitLeft,[status(thm)],[c_394980]) ).
tff(c_394984,plain,
( aElementOf0('#skF_27',xA)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_394981]) ).
tff(c_394990,plain,
aElementOf0('#skF_27',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_378310,c_394984]) ).
tff(c_394992,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_388081,c_394990]) ).
tff(c_394994,plain,
aElementOf0('#skF_27',stldt0(xA)),
inference(splitRight,[status(thm)],[c_394980]) ).
tff(c_102,plain,
! [W3_83,W1_74,W0_73] :
( ~ aElementOf0(W3_83,W1_74)
| aElementOf0(W3_83,sdtbsmnsldt0(W0_73,W1_74))
| ~ aInteger0(W3_83)
| ~ aSubsetOf0(W1_74,cS1395)
| ~ aSubsetOf0(W0_73,cS1395) ),
inference(cnfTransformation,[status(thm)],[f_277]) ).
tff(c_388072,plain,
( ~ aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_102,c_388059]) ).
tff(c_388084,plain,
~ aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_278,c_378310,c_388072]) ).
tff(c_394993,plain,
( ~ aElementOf0('#skF_27',stldt0(xB))
| aInteger0('#skF_26') ),
inference(splitRight,[status(thm)],[c_394980]) ).
tff(c_395213,plain,
~ aElementOf0('#skF_27',stldt0(xB)),
inference(splitLeft,[status(thm)],[c_394993]) ).
tff(c_395216,plain,
( aElementOf0('#skF_27',xB)
| ~ aInteger0('#skF_27')
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_202,c_395213]) ).
tff(c_395222,plain,
aElementOf0('#skF_27',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_378310,c_395216]) ).
tff(c_395224,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_388084,c_395222]) ).
tff(c_395226,plain,
aElementOf0('#skF_27',stldt0(xB)),
inference(splitRight,[status(thm)],[c_394993]) ).
tff(c_984,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xA))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_401024,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(demodulation,[status(thm),theory(equality)],[c_378310,c_394994,c_395226,c_281177,c_371805,c_984]) ).
tff(c_401031,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_401024,c_206]) ).
tff(c_401050,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_401031]) ).
tff(c_784,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_400449,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(demodulation,[status(thm),theory(equality)],[c_378310,c_394994,c_395226,c_281177,c_371805,c_784]) ).
tff(c_400456,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_400449,c_206]) ).
tff(c_400475,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_400456]) ).
tff(c_395225,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_394993]) ).
tff(c_3784,plain,
! [W0_234] :
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_398378,plain,
! [W0_234] :
( aElementOf0(W0_234,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_234,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_234) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_3784]) ).
tff(c_584,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| ~ aElementOf0('#skF_27',stldt0(xB))
| ~ aElementOf0('#skF_27',stldt0(xA))
| ~ aInteger0('#skF_27') ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_405342,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(demodulation,[status(thm),theory(equality)],[c_378310,c_394994,c_395226,c_281177,c_371805,c_584]) ).
tff(c_405345,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_398378,c_405342]) ).
tff(c_405351,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_395225,c_405345]) ).
tff(c_405359,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xB,cS1395)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_405351,c_98]) ).
tff(c_405376,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_278,c_405359]) ).
tff(c_405378,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_401050,c_400475,c_405376]) ).
tff(c_405380,plain,
~ aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))),
inference(splitRight,[status(thm)],[c_378299]) ).
tff(c_1784,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_410914,plain,
( aElementOf0('#skF_26',stldt0(xA))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_1784]) ).
tff(c_410915,plain,
aElementOf0('#skF_26',stldt0(xA)),
inference(negUnitSimplification,[status(thm)],[c_405380,c_410914]) ).
tff(c_410922,plain,
( ~ aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_410915,c_206]) ).
tff(c_410944,plain,
~ aElementOf0('#skF_26',xA),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_410922]) ).
tff(c_1584,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_410178,plain,
( aElementOf0('#skF_26',stldt0(xB))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_1584]) ).
tff(c_410179,plain,
aElementOf0('#skF_26',stldt0(xB)),
inference(negUnitSimplification,[status(thm)],[c_405380,c_410178]) ).
tff(c_410186,plain,
( ~ aElementOf0('#skF_26',xB)
| ~ aSubsetOf0(xB,cS1395) ),
inference(resolution,[status(thm)],[c_410179,c_206]) ).
tff(c_410208,plain,
~ aElementOf0('#skF_26',xB),
inference(demodulation,[status(thm),theory(equality)],[c_278,c_410186]) ).
tff(c_405379,plain,
aInteger0('#skF_26'),
inference(splitRight,[status(thm)],[c_378299]) ).
tff(c_431266,plain,
! [W0_4389] :
( aElementOf0(W0_4389,stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0(W0_4389,sdtbsmnsldt0(xA,xB))
| ~ aInteger0(W0_4389) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_3784]) ).
tff(c_1384,plain,
( ~ aElementOf0('#skF_24',cS1395)
| ~ aElementOf0('#skF_25',cS1395)
| ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(cnfTransformation,[status(thm)],[f_638]) ).
tff(c_423606,plain,
( ~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB)))
| aElementOf0('#skF_27',stldt0(sdtbsmnsldt0(xA,xB))) ),
inference(demodulation,[status(thm),theory(equality)],[c_281177,c_371805,c_1384]) ).
tff(c_423607,plain,
~ aElementOf0('#skF_26',stldt0(sdtbsmnsldt0(xA,xB))),
inference(negUnitSimplification,[status(thm)],[c_405380,c_423606]) ).
tff(c_431276,plain,
( aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB))
| ~ aInteger0('#skF_26') ),
inference(resolution,[status(thm)],[c_431266,c_423607]) ).
tff(c_431308,plain,
aElementOf0('#skF_26',sdtbsmnsldt0(xA,xB)),
inference(demodulation,[status(thm),theory(equality)],[c_405379,c_431276]) ).
tff(c_431324,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA)
| ~ aSubsetOf0(xB,cS1395)
| ~ aSubsetOf0(xA,cS1395) ),
inference(resolution,[status(thm)],[c_431308,c_98]) ).
tff(c_431343,plain,
( aElementOf0('#skF_26',xB)
| aElementOf0('#skF_26',xA) ),
inference(demodulation,[status(thm),theory(equality)],[c_290,c_278,c_431324]) ).
tff(c_431345,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_410944,c_410208,c_431343]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM440+6 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % 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
% 0.13/0.34 % Computer : n027.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 15:22:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 98.12/75.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 98.12/75.70
% 98.12/75.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 98.12/75.76
% 98.12/75.76 Inference rules
% 98.12/75.76 ----------------------
% 98.12/75.76 #Ref : 0
% 98.12/75.76 #Sup : 88974
% 98.12/75.76 #Fact : 0
% 98.12/75.76 #Define : 0
% 98.12/75.76 #Split : 539
% 98.12/75.76 #Chain : 0
% 98.12/75.76 #Close : 0
% 98.12/75.76
% 98.12/75.76 Ordering : KBO
% 98.12/75.76
% 98.12/75.76 Simplification rules
% 98.12/75.76 ----------------------
% 98.12/75.76 #Subsume : 12467
% 98.12/75.77 #Demod : 120687
% 98.12/75.77 #Tautology : 41670
% 98.12/75.77 #SimpNegUnit : 3111
% 98.12/75.77 #BackRed : 6525
% 98.12/75.77
% 98.12/75.77 #Partial instantiations: 0
% 98.12/75.77 #Strategies tried : 1
% 98.12/75.77
% 98.12/75.77 Timing (in seconds)
% 98.12/75.77 ----------------------
% 98.12/75.77 Preprocessing : 1.10
% 98.12/75.77 Parsing : 0.37
% 98.12/75.77 CNF conversion : 0.12
% 98.12/75.77 Main loop : 73.52
% 98.12/75.77 Inferencing : 11.07
% 98.12/75.77 Reduction : 40.25
% 98.12/75.77 Demodulation : 34.12
% 98.12/75.77 BG Simplification : 0.69
% 98.12/75.77 Subsumption : 17.05
% 98.12/75.77 Abstraction : 0.98
% 98.12/75.77 MUC search : 0.00
% 98.12/75.77 Cooper : 0.00
% 98.12/75.77 Total : 74.75
% 98.12/75.77 Index Insertion : 0.00
% 98.12/75.77 Index Deletion : 0.00
% 98.12/75.77 Index Matching : 0.00
% 98.12/75.77 BG Taut test : 0.00
%------------------------------------------------------------------------------