TSTP Solution File: NUM633+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM633+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n020.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 10:52:24 EDT 2023
% Result : Theorem 79.70s 63.41s
% Output : CNFRefutation 79.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 97
% Syntax : Number of formulae : 108 ( 5 unt; 93 typ; 0 def)
% Number of atoms : 68 ( 11 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 74 ( 21 ~; 19 |; 23 &)
% ( 1 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 160 ( 80 >; 80 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 84 ( 84 usr; 13 con; 0-4 aty)
% Number of variables : 21 (; 18 !; 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 > xk > 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_57 > #skF_56 > #skF_44 > #skF_6 > #skF_1 > #skF_18 > #skF_37 > #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_54 > #skF_25 > #skF_3 > #skF_2 > #skF_48 > #skF_40 > #skF_27 > #skF_36 > #skF_43 > #skF_46 > #skF_21 > #skF_45 > #skF_55 > #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('#skF_57',type,
'#skF_57': ( $i * $i ) > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff('#skF_56',type,
'#skF_56': ( $i * $i ) > $i ).
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(aElement0,type,
aElement0: $i > $o ).
tff(sdtexdt0,type,
sdtexdt0: ( $i * $i ) > $i ).
tff('#skF_37',type,
'#skF_37': $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_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('#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_54',type,
'#skF_54': $i > $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('#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_55',type,
'#skF_55': $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_1347,hypothesis,
( aSet0(xO)
& isCountable0(xO) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4908) ).
tff(f_1369,hypothesis,
( ! [W0] :
( aElementOf0(W0,xO)
=> aElementOf0(W0,xS) )
& aSubsetOf0(xO,xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4998) ).
tff(f_1446,negated_conjecture,
~ ( ! [W0] :
( ( ( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xO) ) )
| aSubsetOf0(W0,xO) )
& ( sbrdtbr0(W0) = xK ) )
| aElementOf0(W0,slbdtsldtrb0(xO,xK)) )
=> ( ~ ( ~ ? [W1] : aElementOf0(W1,W0)
| ( W0 = slcrc0 ) )
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,szNzAzT0) )
& aSubsetOf0(W0,szNzAzT0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& aElementOf0(W0,szDzozmdt0(xc))
& ( sdtlpdtrp0(xc,W0) = szDzizrdt0(xd) ) ) )
=> ? [W0] :
( aElementOf0(W0,xT)
& ? [W1] :
( ( ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,xS) ) )
| aSubsetOf0(W1,xS) )
& isCountable0(W1)
& ! [W2] :
( ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
=> aElementOf0(W3,W1) )
& aSubsetOf0(W2,W1)
& ( sbrdtbr0(W2) = xK )
& aElementOf0(W2,slbdtsldtrb0(W1,xK)) )
=> ( sdtlpdtrp0(xc,W2) = W0 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_1324,hypothesis,
( aElementOf0(szDzizrdt0(xd),xT)
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& ! [W0] :
( aElementOf0(W0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( aElementOf0(W0,szDzozmdt0(xd))
& ( sdtlpdtrp0(xd,W0) = szDzizrdt0(xd) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__4854) ).
tff(c_9764,plain,
isCountable0(xO),
inference(cnfTransformation,[status(thm)],[f_1347]) ).
tff(c_9784,plain,
aSubsetOf0(xO,xS),
inference(cnfTransformation,[status(thm)],[f_1369]) ).
tff(c_13236,plain,
! [W1_1010,W0_1011] :
( ~ aSubsetOf0(W1_1010,xS)
| aElementOf0('#skF_57'(W0_1011,W1_1010),slbdtsldtrb0(W1_1010,xK))
| ~ isCountable0(W1_1010)
| ~ aElementOf0(W0_1011,xT) ),
inference(cnfTransformation,[status(thm)],[f_1446]) ).
tff(c_9824,plain,
! [W0_805] :
( ~ aElementOf0(W0_805,slbdtsldtrb0(xO,xK))
| ( sdtlpdtrp0(xc,W0_805) = szDzizrdt0(xd) ) ),
inference(cnfTransformation,[status(thm)],[f_1446]) ).
tff(c_13248,plain,
! [W0_1011] :
( ( sdtlpdtrp0(xc,'#skF_57'(W0_1011,xO)) = szDzizrdt0(xd) )
| ~ aSubsetOf0(xO,xS)
| ~ isCountable0(xO)
| ~ aElementOf0(W0_1011,xT) ),
inference(resolution,[status(thm)],[c_13236,c_9824]) ).
tff(c_13659,plain,
! [W0_1034] :
( ( sdtlpdtrp0(xc,'#skF_57'(W0_1034,xO)) = szDzizrdt0(xd) )
| ~ aElementOf0(W0_1034,xT) ),
inference(demodulation,[status(thm),theory(equality)],[c_9764,c_9784,c_13248]) ).
tff(c_9788,plain,
! [W1_824,W0_814] :
( ~ aSubsetOf0(W1_824,xS)
| ( sdtlpdtrp0(xc,'#skF_57'(W0_814,W1_824)) != W0_814 )
| ~ isCountable0(W1_824)
| ~ aElementOf0(W0_814,xT) ),
inference(cnfTransformation,[status(thm)],[f_1446]) ).
tff(c_13668,plain,
! [W0_1034] :
( ~ aSubsetOf0(xO,xS)
| ( szDzizrdt0(xd) != W0_1034 )
| ~ isCountable0(xO)
| ~ aElementOf0(W0_1034,xT)
| ~ aElementOf0(W0_1034,xT) ),
inference(superposition,[status(thm),theory(equality)],[c_13659,c_9788]) ).
tff(c_13677,plain,
~ aElementOf0(szDzizrdt0(xd),xT),
inference(demodulation,[status(thm),theory(equality)],[c_9764,c_9784,c_13668]) ).
tff(c_9740,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnfTransformation,[status(thm)],[f_1324]) ).
tff(c_13679,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_13677,c_9740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : NUM633+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/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.37 % Computer : n020.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Thu Aug 3 14:53:07 EDT 2023
% 0.15/0.37 % CPUTime :
% 79.70/63.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.70/63.41
% 79.70/63.41 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 79.78/63.44
% 79.78/63.44 Inference rules
% 79.78/63.44 ----------------------
% 79.78/63.44 #Ref : 0
% 79.78/63.44 #Sup : 678
% 79.78/63.44 #Fact : 0
% 79.78/63.44 #Define : 0
% 79.78/63.44 #Split : 27
% 79.78/63.44 #Chain : 0
% 79.78/63.44 #Close : 0
% 79.78/63.44
% 79.78/63.44 Ordering : KBO
% 79.78/63.44
% 79.78/63.44 Simplification rules
% 79.78/63.44 ----------------------
% 79.78/63.44 #Subsume : 1287
% 79.78/63.44 #Demod : 520
% 79.78/63.44 #Tautology : 120
% 79.78/63.44 #SimpNegUnit : 27
% 79.78/63.44 #BackRed : 92
% 79.78/63.44
% 79.78/63.44 #Partial instantiations: 0
% 79.78/63.44 #Strategies tried : 1
% 79.78/63.44
% 79.78/63.44 Timing (in seconds)
% 79.78/63.44 ----------------------
% 79.78/63.44 Preprocessing : 2.35
% 79.78/63.44 Parsing : 0.60
% 79.78/63.44 CNF conversion : 0.18
% 79.78/63.44 Main loop : 60.01
% 79.78/63.44 Inferencing : 0.33
% 79.78/63.44 Reduction : 45.93
% 79.78/63.44 Demodulation : 39.64
% 79.78/63.44 BG Simplification : 0.76
% 79.78/63.44 Subsumption : 11.22
% 79.78/63.44 Abstraction : 0.46
% 79.78/63.44 MUC search : 0.00
% 79.78/63.44 Cooper : 0.00
% 79.78/63.44 Total : 62.41
% 79.78/63.44 Index Insertion : 0.00
% 79.78/63.44 Index Deletion : 0.00
% 79.78/63.44 Index Matching : 0.00
% 79.78/63.44 BG Taut test : 0.00
%------------------------------------------------------------------------------