TSTP Solution File: NUM561+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM561+1 : 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 : n029.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 10:52:07 EDT 2023
% Result : Theorem 8.96s 3.06s
% Output : CNFRefutation 8.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 55
% Syntax : Number of formulae : 71 ( 13 unt; 48 typ; 1 def)
% Number of atoms : 43 ( 2 equ)
% Maximal formula atoms : 7 ( 1 avg)
% Number of connectives : 37 ( 17 ~; 10 |; 2 &)
% ( 2 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 86 ( 43 >; 43 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 39 ( 39 usr; 5 con; 0-4 aty)
% Number of variables : 16 (; 15 !; 1 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aFunction0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > sdtlpdtrp0 > sdtlcdtrc0 > sdtlbdtrb0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > szDzozmdt0 > slbdtrb0 > sbrdtbr0 > xx > xF > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_6 > #skF_1 > #skF_18 > #skF_4 > #skF_12 > #skF_5 > #skF_19 > #skF_10 > #skF_8 > #skF_20 > #skF_15 > #skF_13 > #skF_14 > #skF_3 > #skF_2 > #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(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(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(sz00,type,
sz00: $i ).
tff(sdtlpdtrp0,type,
sdtlpdtrp0: ( $i * $i ) > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff('#skF_12',type,
'#skF_12': ( $i * $i ) > $i ).
tff(sdtpldt0,type,
sdtpldt0: ( $i * $i ) > $i ).
tff(slbdtsldtrb0,type,
slbdtsldtrb0: ( $i * $i ) > $i ).
tff(xx,type,
xx: $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(aElementOf0,type,
aElementOf0: ( $i * $i ) > $o ).
tff('#skF_20',type,
'#skF_20': ( $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_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(szmzizndt0,type,
szmzizndt0: $i > $i ).
tff(szmzazxdt0,type,
szmzazxdt0: $i > $i ).
tff('#skF_21',type,
'#skF_21': ( $i * $i * $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(xF,type,
xF: $i ).
tff('#skF_16',type,
'#skF_16': ( $i * $i * $i ) > $i ).
tff(f_607,hypothesis,
aFunction0(xF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911) ).
tff(f_559,axiom,
! [W0] :
( aFunction0(W0)
=> aSet0(szDzozmdt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDomSet) ).
tff(f_608,hypothesis,
aElementOf0(xx,szDzozmdt0(xF)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2911_02) ).
tff(f_39,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mEOfElem) ).
tff(f_97,axiom,
! [W0] :
( aSet0(W0)
=> aSubsetOf0(W0,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubRefl) ).
tff(f_606,definition,
! [W0] :
( aFunction0(W0)
=> ! [W1] :
( aSubsetOf0(W1,szDzozmdt0(W0))
=> ! [W2] :
( ( W2 = sdtlcdtrc0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ? [W4] :
( aElementOf0(W4,W1)
& ( sdtlpdtrp0(W0,W4) = W3 ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSImg) ).
tff(f_610,negated_conjecture,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(c_308,plain,
aFunction0(xF),
inference(cnfTransformation,[status(thm)],[f_607]) ).
tff(c_262,plain,
! [W0_184] :
( aSet0(szDzozmdt0(W0_184))
| ~ aFunction0(W0_184) ),
inference(cnfTransformation,[status(thm)],[f_559]) ).
tff(c_310,plain,
aElementOf0(xx,szDzozmdt0(xF)),
inference(cnfTransformation,[status(thm)],[f_608]) ).
tff(c_407,plain,
! [W1_298,W0_299] :
( aElement0(W1_298)
| ~ aElementOf0(W1_298,W0_299)
| ~ aSet0(W0_299) ),
inference(cnfTransformation,[status(thm)],[f_39]) ).
tff(c_414,plain,
( aElement0(xx)
| ~ aSet0(szDzozmdt0(xF)) ),
inference(resolution,[status(thm)],[c_310,c_407]) ).
tff(c_433,plain,
~ aSet0(szDzozmdt0(xF)),
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_436,plain,
~ aFunction0(xF),
inference(resolution,[status(thm)],[c_262,c_433]) ).
tff(c_440,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_308,c_436]) ).
tff(c_442,plain,
aSet0(szDzozmdt0(xF)),
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_34,plain,
! [W0_27] :
( aSubsetOf0(W0_27,W0_27)
| ~ aSet0(W0_27) ),
inference(cnfTransformation,[status(thm)],[f_97]) ).
tff(c_4049,plain,
! [W0_537,W4_538,W1_539] :
( aElementOf0(sdtlpdtrp0(W0_537,W4_538),sdtlcdtrc0(W0_537,W1_539))
| ~ aElementOf0(W4_538,W1_539)
| ~ aSubsetOf0(W1_539,szDzozmdt0(W0_537))
| ~ aFunction0(W0_537) ),
inference(cnfTransformation,[status(thm)],[f_606]) ).
tff(c_312,plain,
~ aElementOf0(sdtlpdtrp0(xF,xx),sdtlcdtrc0(xF,szDzozmdt0(xF))),
inference(cnfTransformation,[status(thm)],[f_610]) ).
tff(c_4057,plain,
( ~ aElementOf0(xx,szDzozmdt0(xF))
| ~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF))
| ~ aFunction0(xF) ),
inference(resolution,[status(thm)],[c_4049,c_312]) ).
tff(c_4062,plain,
~ aSubsetOf0(szDzozmdt0(xF),szDzozmdt0(xF)),
inference(demodulation,[status(thm),theory(equality)],[c_308,c_310,c_4057]) ).
tff(c_4065,plain,
~ aSet0(szDzozmdt0(xF)),
inference(resolution,[status(thm)],[c_34,c_4062]) ).
tff(c_4069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_442,c_4065]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM561+1 : 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
% 0.14/0.35 % Computer : n029.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 14:54:22 EDT 2023
% 0.14/0.35 % CPUTime :
% 8.96/3.06 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.96/3.06
% 8.96/3.06 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 8.96/3.09
% 8.96/3.09 Inference rules
% 8.96/3.09 ----------------------
% 8.96/3.09 #Ref : 1
% 8.96/3.09 #Sup : 777
% 8.96/3.09 #Fact : 0
% 8.96/3.09 #Define : 0
% 8.96/3.09 #Split : 16
% 8.96/3.09 #Chain : 0
% 8.96/3.09 #Close : 0
% 8.96/3.09
% 8.96/3.09 Ordering : KBO
% 8.96/3.09
% 8.96/3.09 Simplification rules
% 8.96/3.09 ----------------------
% 8.96/3.09 #Subsume : 190
% 8.96/3.09 #Demod : 401
% 8.96/3.09 #Tautology : 144
% 8.96/3.09 #SimpNegUnit : 55
% 8.96/3.09 #BackRed : 43
% 8.96/3.09
% 8.96/3.09 #Partial instantiations: 0
% 8.96/3.09 #Strategies tried : 1
% 8.96/3.09
% 8.96/3.09 Timing (in seconds)
% 8.96/3.09 ----------------------
% 8.96/3.10 Preprocessing : 0.78
% 8.96/3.10 Parsing : 0.37
% 8.96/3.10 CNF conversion : 0.08
% 8.96/3.10 Main loop : 1.20
% 8.96/3.10 Inferencing : 0.41
% 8.96/3.10 Reduction : 0.35
% 8.96/3.10 Demodulation : 0.23
% 8.96/3.10 BG Simplification : 0.08
% 8.96/3.10 Subsumption : 0.30
% 8.96/3.10 Abstraction : 0.05
% 8.96/3.10 MUC search : 0.00
% 8.96/3.10 Cooper : 0.00
% 8.96/3.10 Total : 2.02
% 8.96/3.10 Index Insertion : 0.00
% 8.96/3.10 Index Deletion : 0.00
% 8.96/3.10 Index Matching : 0.00
% 8.96/3.10 BG Taut test : 0.00
%------------------------------------------------------------------------------