TSTP Solution File: NUM624+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM624+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 : n022.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 10:52:22 EDT 2023
% Result : Theorem 87.40s 68.04s
% Output : CNFRefutation 87.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 109
% Syntax : Number of formulae : 125 ( 12 unt; 101 typ; 0 def)
% Number of atoms : 51 ( 8 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 46 ( 19 ~; 11 |; 10 &)
% ( 0 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 3 ( 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 : 92 ( 92 usr; 25 con; 0-4 aty)
% Number of variables : 14 (; 11 !; 3 ?; 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 > xp > xn > xm > xk > xe > xd > xc > xT > xS > xQ > xP > xO > xN > xK > xC > szNzAzT0 > sz00 > slcrc0 > #skF_53 > #skF_47 > #skF_7 > #skF_57 > #skF_11 > #skF_41 > #skF_17 > #skF_31 > #skF_33 > #skF_44 > #skF_6 > #skF_1 > #skF_18 > #skF_55 > #skF_37 > #skF_56 > #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_59 > #skF_9 > #skF_22 > #skF_58 > #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_57',type,
'#skF_57': $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('#skF_56',type,
'#skF_56': $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(xP,type,
xP: $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(xQ,type,
xQ: $i ).
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(xp,type,
xp: $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(xm,type,
xm: $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(xn,type,
xn: $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_59',type,
'#skF_59': $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_58',type,
'#skF_58': $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_1505,hypothesis,
( aElementOf0(xp,sdtlpdtrp0(xN,xm))
& aElementOf0(xx,xQ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5481) ).
tff(f_1421,hypothesis,
( aElementOf0(xp,xQ)
& ! [W0] :
( aElementOf0(W0,xQ)
=> sdtlseqdt0(xp,W0) )
& ( xp = szmzizndt0(xQ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
tff(f_1526,negated_conjecture,
xp != xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_1440,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
tff(f_1524,hypothesis,
( ! [W0] :
( aElementOf0(W0,xQ)
=> aElementOf0(W0,szNzAzT0) )
& ! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> aElementOf0(W0,szNzAzT0) )
& ~ ~ ? [W0] : aElementOf0(W0,xQ)
& ~ ~ ? [W0] : aElementOf0(W0,sdtlpdtrp0(xN,xm)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5518) ).
tff(f_1482,hypothesis,
( aElementOf0(xx,szNzAzT0)
& ? [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ( sdtlpdtrp0(xe,W0) = xx ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5365) ).
tff(f_1489,hypothesis,
! [W0] :
( aElementOf0(W0,sdtlpdtrp0(xN,xm))
=> sdtlseqdt0(xx,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5401) ).
tff(f_283,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> ( W0 = W1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessASymm) ).
tff(c_9898,plain,
aElementOf0(xx,xQ),
inference(cnfTransformation,[status(thm)],[f_1505]) ).
tff(c_9820,plain,
! [W0_810] :
( sdtlseqdt0(xp,W0_810)
| ~ aElementOf0(W0_810,xQ) ),
inference(cnfTransformation,[status(thm)],[f_1421]) ).
tff(c_9910,plain,
xx != xp,
inference(cnfTransformation,[status(thm)],[f_1526]) ).
tff(c_9838,plain,
aElementOf0(xp,xQ),
inference(cnfTransformation,[status(thm)],[f_1440]) ).
tff(c_10138,plain,
! [W0_834] :
( aElementOf0(W0_834,szNzAzT0)
| ~ aElementOf0(W0_834,xQ) ),
inference(cnfTransformation,[status(thm)],[f_1524]) ).
tff(c_10159,plain,
aElementOf0(xp,szNzAzT0),
inference(resolution,[status(thm)],[c_9838,c_10138]) ).
tff(c_9880,plain,
aElementOf0(xx,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_1482]) ).
tff(c_9900,plain,
aElementOf0(xp,sdtlpdtrp0(xN,xm)),
inference(cnfTransformation,[status(thm)],[f_1505]) ).
tff(c_10987,plain,
! [W0_869] :
( sdtlseqdt0(xx,W0_869)
| ~ aElementOf0(W0_869,sdtlpdtrp0(xN,xm)) ),
inference(cnfTransformation,[status(thm)],[f_1489]) ).
tff(c_11002,plain,
sdtlseqdt0(xx,xp),
inference(resolution,[status(thm)],[c_9900,c_10987]) ).
tff(c_31164,plain,
! [W1_1608,W0_1609] :
( ( W1_1608 = W0_1609 )
| ~ sdtlseqdt0(W1_1608,W0_1609)
| ~ sdtlseqdt0(W0_1609,W1_1608)
| ~ aElementOf0(W1_1608,szNzAzT0)
| ~ aElementOf0(W0_1609,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_31212,plain,
( ( xx = xp )
| ~ sdtlseqdt0(xp,xx)
| ~ aElementOf0(xx,szNzAzT0)
| ~ aElementOf0(xp,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11002,c_31164]) ).
tff(c_31291,plain,
( ( xx = xp )
| ~ sdtlseqdt0(xp,xx) ),
inference(demodulation,[status(thm),theory(equality)],[c_10159,c_9880,c_31212]) ).
tff(c_31292,plain,
~ sdtlseqdt0(xp,xx),
inference(negUnitSimplification,[status(thm)],[c_9910,c_31291]) ).
tff(c_31308,plain,
~ aElementOf0(xx,xQ),
inference(resolution,[status(thm)],[c_9820,c_31292]) ).
tff(c_31312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_9898,c_31308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM624+3 : 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
% 0.17/0.34 % Computer : n022.cluster.edu
% 0.17/0.34 % Model : x86_64 x86_64
% 0.17/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.34 % Memory : 8042.1875MB
% 0.17/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.34 % CPULimit : 300
% 0.17/0.34 % WCLimit : 300
% 0.17/0.34 % DateTime : Thu Aug 3 14:35:33 EDT 2023
% 0.17/0.35 % CPUTime :
% 87.40/68.04 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 87.40/68.04
% 87.40/68.04 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 87.40/68.07
% 87.40/68.07 Inference rules
% 87.40/68.07 ----------------------
% 87.40/68.07 #Ref : 4
% 87.40/68.07 #Sup : 4206
% 87.40/68.07 #Fact : 0
% 87.40/68.07 #Define : 0
% 87.40/68.07 #Split : 199
% 87.40/68.07 #Chain : 0
% 87.40/68.07 #Close : 0
% 87.40/68.07
% 87.40/68.07 Ordering : KBO
% 87.40/68.07
% 87.40/68.07 Simplification rules
% 87.40/68.07 ----------------------
% 87.40/68.07 #Subsume : 1683
% 87.40/68.07 #Demod : 3736
% 87.40/68.07 #Tautology : 1265
% 87.40/68.07 #SimpNegUnit : 241
% 87.40/68.07 #BackRed : 214
% 87.40/68.07
% 87.40/68.07 #Partial instantiations: 0
% 87.40/68.07 #Strategies tried : 1
% 87.40/68.07
% 87.40/68.07 Timing (in seconds)
% 87.40/68.07 ----------------------
% 87.40/68.08 Preprocessing : 2.28
% 87.40/68.08 Parsing : 0.55
% 87.40/68.08 CNF conversion : 0.17
% 87.40/68.08 Main loop : 64.73
% 87.40/68.08 Inferencing : 1.37
% 87.40/68.08 Reduction : 47.99
% 87.40/68.08 Demodulation : 41.48
% 87.40/68.08 BG Simplification : 0.77
% 87.40/68.08 Subsumption : 12.39
% 87.40/68.08 Abstraction : 0.49
% 87.40/68.08 MUC search : 0.00
% 87.40/68.08 Cooper : 0.00
% 87.40/68.08 Total : 67.06
% 87.40/68.08 Index Insertion : 0.00
% 87.40/68.08 Index Deletion : 0.00
% 87.40/68.08 Index Matching : 0.00
% 87.40/68.08 BG Taut test : 0.00
%------------------------------------------------------------------------------