TSTP Solution File: NUM565+3 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM565+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 : n026.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 79.84s 65.32s
% Output : CNFRefutation 79.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 69
% Syntax : Number of formulae : 76 ( 5 unt; 67 typ; 0 def)
% Number of atoms : 22 ( 11 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 19 ( 6 ~; 3 |; 5 &)
% ( 1 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 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 : 58 ( 58 usr; 8 con; 0-4 aty)
% Number of variables : 5 (; 4 !; 1 ?; 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_37 > #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('#skF_37',type,
'#skF_37': $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_854,negated_conjecture,
~ ! [W0] :
( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xS) )
& aSubsetOf0(W0,xS)
& ( sbrdtbr0(W0) = sz00 )
& aElementOf0(W0,slbdtsldtrb0(xS,sz00)) )
=> ( ( aSet0(slcrc0)
& ~ ? [W1] : aElementOf0(W1,slcrc0) )
=> ( sdtlpdtrp0(xc,W0) = sdtlpdtrp0(xc,slcrc0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
tff(f_330,axiom,
! [W0] :
( aSet0(W0)
=> ( ( sbrdtbr0(W0) = sz00 )
<=> ( W0 = slcrc0 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mCardEmpty) ).
tff(c_8334,plain,
sbrdtbr0('#skF_37') = sz00,
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_8340,plain,
aSet0('#skF_37'),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_12544,plain,
! [W0_607] :
( ( slcrc0 = W0_607 )
| ( sbrdtbr0(W0_607) != sz00 )
| ~ aSet0(W0_607) ),
inference(cnfTransformation,[status(thm)],[f_330]) ).
tff(c_12571,plain,
( ( slcrc0 = '#skF_37' )
| ( sbrdtbr0('#skF_37') != sz00 ) ),
inference(resolution,[status(thm)],[c_8340,c_12544]) ).
tff(c_12585,plain,
slcrc0 = '#skF_37',
inference(demodulation,[status(thm),theory(equality)],[c_8334,c_12571]) ).
tff(c_8326,plain,
sdtlpdtrp0(xc,slcrc0) != sdtlpdtrp0(xc,'#skF_37'),
inference(cnfTransformation,[status(thm)],[f_854]) ).
tff(c_12600,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12585,c_8326]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM565+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/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
% 0.14/0.35 % Computer : n026.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 15:41:47 EDT 2023
% 0.14/0.35 % CPUTime :
% 79.84/65.32 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 79.84/65.32
% 79.84/65.32 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 79.84/65.35
% 79.84/65.35 Inference rules
% 79.84/65.35 ----------------------
% 79.84/65.35 #Ref : 0
% 79.84/65.35 #Sup : 53
% 79.84/65.35 #Fact : 0
% 79.84/65.35 #Define : 0
% 79.84/65.35 #Split : 1
% 79.84/65.35 #Chain : 0
% 79.84/65.35 #Close : 0
% 79.84/65.35
% 79.84/65.35 Ordering : KBO
% 79.84/65.35
% 79.84/65.35 Simplification rules
% 79.84/65.35 ----------------------
% 79.84/65.35 #Subsume : 573
% 79.84/65.35 #Demod : 4027
% 79.84/65.35 #Tautology : 39
% 79.84/65.35 #SimpNegUnit : 0
% 79.84/65.35 #BackRed : 11
% 79.84/65.35
% 79.84/65.35 #Partial instantiations: 0
% 79.84/65.35 #Strategies tried : 1
% 79.84/65.35
% 79.84/65.35 Timing (in seconds)
% 79.84/65.35 ----------------------
% 79.84/65.36 Preprocessing : 2.05
% 79.84/65.36 Parsing : 0.46
% 79.84/65.36 CNF conversion : 0.16
% 79.84/65.36 Main loop : 62.23
% 79.84/65.36 Inferencing : 0.09
% 79.84/65.36 Reduction : 48.55
% 79.84/65.36 Demodulation : 42.07
% 79.84/65.36 BG Simplification : 0.69
% 79.84/65.36 Subsumption : 11.16
% 79.84/65.36 Abstraction : 0.60
% 79.84/65.36 MUC search : 0.00
% 79.84/65.36 Cooper : 0.00
% 79.84/65.36 Total : 64.33
% 79.84/65.36 Index Insertion : 0.00
% 79.84/65.36 Index Deletion : 0.00
% 79.84/65.36 Index Matching : 0.00
% 79.84/65.36 BG Taut test : 0.00
%------------------------------------------------------------------------------