TSTP Solution File: NUM603+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM603+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 : n006.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 10:52:17 EDT 2023
% Result : Theorem 87.55s 68.00s
% Output : CNFRefutation 87.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 101
% Syntax : Number of formulae : 118 ( 10 unt; 93 typ; 1 def)
% Number of atoms : 83 ( 5 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 83 ( 25 ~; 22 |; 21 &)
% ( 2 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 154 ( 76 >; 78 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 84 ( 84 usr; 17 con; 0-4 aty)
% Number of variables : 23 (; 23 !; 0 ?; 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 > xx > xk > xi > xe > xd > xc > xT > xS > xO > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_53 > #skF_47 > #skF_7 > #skF_11 > #skF_41 > #skF_17 > #skF_31 > #skF_33 > #skF_44 > #skF_6 > #skF_1 > #skF_18 > #skF_55 > #skF_37 > #skF_54 > #skF_38 > #skF_4 > #skF_29 > #skF_52 > #skF_12 > #skF_30 > #skF_32 > #skF_23 > #skF_35 > #skF_5 > #skF_49 > #skF_19 > #skF_10 > #skF_42 > #skF_8 > #skF_20 > #skF_28 > #skF_26 > #skF_24 > #skF_34 > #skF_15 > #skF_13 > #skF_14 > #skF_50 > #skF_25 > #skF_3 > #skF_2 > #skF_48 > #skF_40 > #skF_27 > #skF_36 > #skF_43 > #skF_46 > #skF_21 > #skF_45 > #skF_9 > #skF_22 > #skF_16 > #skF_51 > #skF_39
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_53',type,
'#skF_53': $i > $i ).
tff(xk,type,
xk: $i ).
tff('#skF_47',type,
'#skF_47': ( $i * $i ) > $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff('#skF_41',type,
'#skF_41': ( $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('#skF_44',type,
'#skF_44': ( $i * $i * $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(xd,type,
xd: $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('#skF_55',type,
'#skF_55': $i ).
tff(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(xi,type,
xi: $i ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff('#skF_54',type,
'#skF_54': $i ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_38',type,
'#skF_38': ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xc,type,
xc: $i ).
tff(xe,type,
xe: $i ).
tff('#skF_29',type,
'#skF_29': ( $i * $i * $i ) > $i ).
tff('#skF_52',type,
'#skF_52': $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(xx,type,
xx: $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_49',type,
'#skF_49': ( $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_42',type,
'#skF_42': ( $i * $i ) > $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(xT,type,
xT: $i ).
tff(xN,type,
xN: $i ).
tff(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff(xC,type,
xC: $i ).
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(xO,type,
xO: $i ).
tff('#skF_14',type,
'#skF_14': ( $i * $i * $i ) > $i ).
tff(slcrc0,type,
slcrc0: $i ).
tff('#skF_50',type,
'#skF_50': ( $i * $i ) > $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('#skF_48',type,
'#skF_48': $i > $i ).
tff('#skF_40',type,
'#skF_40': ( $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('#skF_43',type,
'#skF_43': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': $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_45',type,
'#skF_45': $i > $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('#skF_51',type,
'#skF_51': $i > $i ).
tff('#skF_39',type,
'#skF_39': ( $i * $i ) > $i ).
tff(f_1372,hypothesis,
( aElementOf0(xi,szNzAzT0)
& ( sdtlpdtrp0(xe,xi) = xx ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
tff(f_252,axiom,
! [W0] :
( aElementOf0(W0,szNzAzT0)
=> sdtlseqdt0(sz00,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroLess) ).
tff(f_1379,negated_conjecture,
~ ( ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xi))
=> aElementOf0(W0,xS) )
| aSubsetOf0(sdtlpdtrp0(xN,xi),xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_212,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
tff(f_674,hypothesis,
( aSet0(xS)
& ! [W0] :
( aElementOf0(W0,xS)
=> aElementOf0(W0,szNzAzT0) )
& aSubsetOf0(xS,szNzAzT0)
& isCountable0(xS) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
tff(f_873,hypothesis,
( aFunction0(xN)
& ( szDzozmdt0(xN) = szNzAzT0 )
& ( sdtlpdtrp0(xN,sz00) = xS )
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( ( ( ( aSet0(sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> aElementOf0(W1,szNzAzT0) ) )
| aSubsetOf0(sdtlpdtrp0(xN,W0),szNzAzT0) )
& isCountable0(sdtlpdtrp0(xN,W0)) )
=> ( aElementOf0(szmzizndt0(sdtlpdtrp0(xN,W0)),sdtlpdtrp0(xN,W0))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,W0))
=> sdtlseqdt0(szmzizndt0(sdtlpdtrp0(xN,W0)),W1) )
& aSet0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& ! [W1] :
( aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
<=> ( aElement0(W1)
& aElementOf0(W1,sdtlpdtrp0(xN,W0))
& ( W1 != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
& aSet0(sdtlpdtrp0(xN,szszuzczcdt0(W0)))
& ! [W1] :
( aElementOf0(W1,sdtlpdtrp0(xN,szszuzczcdt0(W0)))
=> aElementOf0(W1,sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0)))) )
& aSubsetOf0(sdtlpdtrp0(xN,szszuzczcdt0(W0)),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& isCountable0(sdtlpdtrp0(xN,szszuzczcdt0(W0))) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3623) ).
tff(f_899,hypothesis,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W1,W0)
=> ( ! [W2] :
( aElementOf0(W2,sdtlpdtrp0(xN,W0))
=> aElementOf0(W2,sdtlpdtrp0(xN,W1)) )
& aSubsetOf0(sdtlpdtrp0(xN,W0),sdtlpdtrp0(xN,W1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3754) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(c_9792,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_1372]) ).
tff(c_126,plain,
! [W0_80] :
( sdtlseqdt0(sz00,W0_80)
| ~ aElementOf0(W0_80,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_252]) ).
tff(c_9796,plain,
~ aElementOf0('#skF_55',xS),
inference(cnfTransformation,[status(thm)],[f_1379]) ).
tff(c_110,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_212]) ).
tff(c_344,plain,
aSet0(xS),
inference(cnfTransformation,[status(thm)],[f_674]) ).
tff(c_8322,plain,
sdtlpdtrp0(xN,sz00) = xS,
inference(cnfTransformation,[status(thm)],[f_873]) ).
tff(c_19217,plain,
! [W0_1175,W1_1176] :
( aSubsetOf0(sdtlpdtrp0(xN,W0_1175),sdtlpdtrp0(xN,W1_1176))
| ~ sdtlseqdt0(W1_1176,W0_1175)
| ~ aElementOf0(W1_1176,szNzAzT0)
| ~ aElementOf0(W0_1175,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_899]) ).
tff(c_9798,plain,
aElementOf0('#skF_55',sdtlpdtrp0(xN,xi)),
inference(cnfTransformation,[status(thm)],[f_1379]) ).
tff(c_11874,plain,
! [W2_955,W0_956,W1_957] :
( aElementOf0(W2_955,W0_956)
| ~ aElementOf0(W2_955,W1_957)
| ~ aSubsetOf0(W1_957,W0_956)
| ~ aSet0(W0_956) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_11978,plain,
! [W0_956] :
( aElementOf0('#skF_55',W0_956)
| ~ aSubsetOf0(sdtlpdtrp0(xN,xi),W0_956)
| ~ aSet0(W0_956) ),
inference(resolution,[status(thm)],[c_9798,c_11874]) ).
tff(c_19229,plain,
! [W1_1176] :
( aElementOf0('#skF_55',sdtlpdtrp0(xN,W1_1176))
| ~ aSet0(sdtlpdtrp0(xN,W1_1176))
| ~ sdtlseqdt0(W1_1176,xi)
| ~ aElementOf0(W1_1176,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c_19217,c_11978]) ).
tff(c_19339,plain,
! [W1_1180] :
( aElementOf0('#skF_55',sdtlpdtrp0(xN,W1_1180))
| ~ aSet0(sdtlpdtrp0(xN,W1_1180))
| ~ sdtlseqdt0(W1_1180,xi)
| ~ aElementOf0(W1_1180,szNzAzT0) ),
inference(demodulation,[status(thm),theory(equality)],[c_9792,c_19229]) ).
tff(c_19364,plain,
( aElementOf0('#skF_55',xS)
| ~ aSet0(sdtlpdtrp0(xN,sz00))
| ~ sdtlseqdt0(sz00,xi)
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(superposition,[status(thm),theory(equality)],[c_8322,c_19339]) ).
tff(c_19383,plain,
( aElementOf0('#skF_55',xS)
| ~ sdtlseqdt0(sz00,xi) ),
inference(demodulation,[status(thm),theory(equality)],[c_110,c_344,c_8322,c_19364]) ).
tff(c_19384,plain,
~ sdtlseqdt0(sz00,xi),
inference(negUnitSimplification,[status(thm)],[c_9796,c_19383]) ).
tff(c_19387,plain,
~ aElementOf0(xi,szNzAzT0),
inference(resolution,[status(thm)],[c_126,c_19384]) ).
tff(c_19391,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9792,c_19387]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM603+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.15 % 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
% 0.14/0.35 % Computer : n006.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 14:58:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 87.55/68.00 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.55/68.01
% 87.55/68.01 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 87.55/68.04
% 87.55/68.04 Inference rules
% 87.55/68.04 ----------------------
% 87.55/68.04 #Ref : 2
% 87.55/68.04 #Sup : 1848
% 87.55/68.04 #Fact : 0
% 87.55/68.04 #Define : 0
% 87.55/68.04 #Split : 80
% 87.55/68.04 #Chain : 0
% 87.55/68.04 #Close : 0
% 87.55/68.04
% 87.55/68.04 Ordering : KBO
% 87.55/68.04
% 87.55/68.04 Simplification rules
% 87.55/68.04 ----------------------
% 87.55/68.04 #Subsume : 1473
% 87.55/68.04 #Demod : 1471
% 87.55/68.04 #Tautology : 430
% 87.55/68.04 #SimpNegUnit : 111
% 87.55/68.04 #BackRed : 145
% 87.55/68.04
% 87.55/68.04 #Partial instantiations: 0
% 87.55/68.04 #Strategies tried : 1
% 87.55/68.04
% 87.55/68.04 Timing (in seconds)
% 87.55/68.04 ----------------------
% 87.55/68.05 Preprocessing : 2.34
% 87.55/68.05 Parsing : 0.57
% 87.55/68.05 CNF conversion : 0.18
% 87.55/68.05 Main loop : 64.62
% 87.55/68.05 Inferencing : 0.77
% 87.55/68.05 Reduction : 48.40
% 87.55/68.05 Demodulation : 41.00
% 87.55/68.05 BG Simplification : 0.73
% 87.55/68.05 Subsumption : 12.37
% 87.55/68.05 Abstraction : 0.49
% 87.55/68.05 MUC search : 0.00
% 87.55/68.05 Cooper : 0.00
% 87.55/68.05 Total : 67.02
% 87.55/68.05 Index Insertion : 0.00
% 87.55/68.05 Index Deletion : 0.00
% 87.55/68.05 Index Matching : 0.00
% 87.55/68.05 BG Taut test : 0.00
%------------------------------------------------------------------------------