TSTP Solution File: NUM568+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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 : n031.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 10:52:09 EDT 2023
% Result : Theorem 76.78s 58.61s
% Output : CNFRefutation 77.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 70
% Syntax : Number of formulae : 80 ( 6 unt; 66 typ; 0 def)
% Number of atoms : 30 ( 16 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 29 ( 13 ~; 13 |; 2 &)
% ( 0 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 126 ( 59 >; 67 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 57 ( 57 usr; 7 con; 0-4 aty)
% Number of variables : 8 (; 6 !; 2 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > sdtexdt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > szDzizrdt0 > slbdtrb0 > sbrdtbr0 > xc > xT > xS > xK > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_4 > #skF_29 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_25 > #skF_3 > #skF_2 > #skF_27 > #skF_36 > #skF_21 > #skF_9 > #skF_22 > #skF_16
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff('#skF_17',type,
'#skF_17': ( $i * $i * $i ) > $i ).
tff('#skF_31',type,
'#skF_31': ( $i * $i * $i ) > $i ).
tff('#skF_33',type,
'#skF_33': ( $i * $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $i > $i ).
tff(sdtlbdtrb0,type,
sdtlbdtrb0: ( $i * $i ) > $i ).
tff(szDzozmdt0,type,
szDzozmdt0: $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i * $i ) > $i ).
tff(sdtmndt0,type,
sdtmndt0: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i > $i ).
tff('#skF_18',type,
'#skF_18': ( $i * $i * $i ) > $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff('#skF_30',type,
'#skF_30': ( $i * $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff('#skF_32',type,
'#skF_32': ( $i * $i * $i * $i ) > $i ).
tff('#skF_23',type,
'#skF_23': ( $i * $i * $i ) > $i ).
tff('#skF_35',type,
'#skF_35': ( $i * $i * $i ) > $i ).
tff(aSubsetOf0,type,
aSubsetOf0: ( $i * $i ) > $o ).
tff('#skF_5',type,
'#skF_5': ( $i * $i * $i ) > $i ).
tff('#skF_19',type,
'#skF_19': ( $i * $i * $i ) > $i ).
tff(isCountable0,type,
isCountable0: $i > $o ).
tff('#skF_10',type,
'#skF_10': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $i * $i * $i ) > $i ).
tff(szDzizrdt0,type,
szDzizrdt0: $i > $i ).
tff('#skF_28',type,
'#skF_28': ( $i * $i ) > $i ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_24',type,
'#skF_24': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': ( $i * $i * $i ) > $i ).
tff('#skF_15',type,
'#skF_15': ( $i * $i * $i ) > $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff(aFunction0,type,
aFunction0: $i > $o ).
tff(isFinite0,type,
isFinite0: $i > $o ).
tff('#skF_25',type,
'#skF_25': ( $i * $i ) > $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i * $i ) > $i ).
tff(sdtlcdtrc0,type,
sdtlcdtrc0: ( $i * $i ) > $i ).
tff('#skF_2',type,
'#skF_2': ( $i * $i ) > $i ).
tff(iLess0,type,
iLess0: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff('#skF_36',type,
'#skF_36': ( $i * $i * $i * $i ) > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $i ) > $i ).
tff(xK,type,
xK: $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff('#skF_22',type,
'#skF_22': ( $i * $i * $i * $i ) > $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_821,hypothesis,
xK != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3520) ).
tff(f_664,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
tff(f_236,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( W0 = sz00 )
| ? [W1] :
( aElementOf0(W1,szNzAzT0)
& ( W0 = szszuzczcdt0(W1) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNatExtra) ).
tff(f_826,negated_conjecture,
~ ? [W0] :
( aElementOf0(W0,szNzAzT0)
& ( szszuzczcdt0(W0) = xK ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_8316,plain,
xK != sz00,
inference(cnfTransformation,[status(thm)],[f_821]) ).
tff(c_336,plain,
aElementOf0(xK,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_664]) ).
tff(c_118,plain,
! [W0_75] :
( ( szszuzczcdt0('#skF_7'(W0_75)) = W0_75 )
| ( sz00 = W0_75 )
| ~ aElementOf0(W0_75,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_8868,plain,
! [W0_622] :
( aElementOf0('#skF_7'(W0_622),szNzAzT0)
| ( sz00 = W0_622 )
| ~ aElementOf0(W0_622,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_236]) ).
tff(c_8318,plain,
! [W0_573] :
( ( szszuzczcdt0(W0_573) != xK )
| ~ aElementOf0(W0_573,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_826]) ).
tff(c_8950,plain,
! [W0_625] :
( ( szszuzczcdt0('#skF_7'(W0_625)) != xK )
| ( sz00 = W0_625 )
| ~ aElementOf0(W0_625,szNzAzT0) ),
inference(resolution,[status(thm)],[c_8868,c_8318]) ).
tff(c_8992,plain,
! [W0_634] :
( ( xK != W0_634 )
| ( sz00 = W0_634 )
| ~ aElementOf0(W0_634,szNzAzT0)
| ( sz00 = W0_634 )
| ~ aElementOf0(W0_634,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_118,c_8950]) ).
tff(c_9012,plain,
( ( xK = sz00 )
| ~ aElementOf0(xK,szNzAzT0) ),
inference(resolution,[status(thm)],[c_336,c_8992]) ).
tff(c_9035,plain,
xK = sz00,
inference(demodulation,[status(thm),theory(equality)],[c_336,c_9012]) ).
tff(c_9037,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8316,c_9035]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : NUM568+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n031.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 15:34:29 EDT 2023
% 0.15/0.36 % CPUTime :
% 76.78/58.61 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 76.78/58.62
% 76.78/58.62 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 77.11/58.65
% 77.11/58.65 Inference rules
% 77.11/58.65 ----------------------
% 77.11/58.65 #Ref : 0
% 77.11/58.65 #Sup : 131
% 77.11/58.65 #Fact : 0
% 77.11/58.65 #Define : 0
% 77.11/58.65 #Split : 10
% 77.11/58.65 #Chain : 0
% 77.11/58.65 #Close : 0
% 77.11/58.65
% 77.11/58.65 Ordering : KBO
% 77.11/58.65
% 77.11/58.65 Simplification rules
% 77.11/58.65 ----------------------
% 77.11/58.65 #Subsume : 588
% 77.11/58.65 #Demod : 103
% 77.11/58.65 #Tautology : 39
% 77.11/58.65 #SimpNegUnit : 10
% 77.11/58.65 #BackRed : 37
% 77.11/58.65
% 77.11/58.65 #Partial instantiations: 0
% 77.11/58.65 #Strategies tried : 1
% 77.11/58.65
% 77.11/58.65 Timing (in seconds)
% 77.11/58.65 ----------------------
% 77.11/58.65 Preprocessing : 2.01
% 77.11/58.65 Parsing : 0.41
% 77.11/58.65 CNF conversion : 0.16
% 77.11/58.65 Main loop : 55.57
% 77.11/58.65 Inferencing : 0.16
% 77.11/58.65 Reduction : 42.02
% 77.11/58.65 Demodulation : 34.67
% 77.11/58.65 BG Simplification : 0.64
% 77.11/58.65 Subsumption : 10.87
% 77.11/58.65 Abstraction : 0.42
% 77.11/58.65 MUC search : 0.00
% 77.11/58.65 Cooper : 0.00
% 77.11/58.65 Total : 57.63
% 77.11/58.65 Index Insertion : 0.00
% 77.11/58.66 Index Deletion : 0.00
% 77.11/58.66 Index Matching : 0.00
% 77.11/58.66 BG Taut test : 0.00
%------------------------------------------------------------------------------