TSTP Solution File: NUM576+3 by Beagle---0.9.51
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%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM576+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 : n009.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 10:52:11 EDT 2023
% Result : Theorem 78.58s 62.20s
% Output : CNFRefutation 78.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 75
% Syntax : Number of formulae : 89 ( 9 unt; 71 typ; 0 def)
% Number of atoms : 42 ( 6 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 42 ( 18 ~; 16 |; 4 &)
% ( 0 <=>; 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 : 127 ( 60 >; 67 *; 0 +; 0 <<)
% Number of predicates : 11 ( 9 usr; 1 prp; 0-2 aty)
% Number of functors : 62 ( 62 usr; 11 con; 0-4 aty)
% Number of variables : 8 (; 8 !; 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 > xk > xj > xi > xc > xT > xS > xN > xK > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_17 > #skF_31 > #skF_33 > #skF_6 > #skF_1 > #skF_18 > #skF_37 > #skF_4 > #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(xk,type,
xk: $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff(xj,type,
xj: $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('#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(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(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(xN,type,
xN: $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_909,negated_conjecture,
~ ( ( xi != xj )
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_902,hypothesis,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3856) ).
tff(f_303,axiom,
! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(W0,W1)
| sdtlseqdt0(szszuzczcdt0(W1),W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLessTotal) ).
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_8414,plain,
xj != xi,
inference(cnfTransformation,[status(thm)],[f_909]) ).
tff(c_8408,plain,
aElementOf0(xi,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_902]) ).
tff(c_8406,plain,
aElementOf0(xj,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_902]) ).
tff(c_11652,plain,
! [W1_780,W0_781] :
( sdtlseqdt0(szszuzczcdt0(W1_780),W0_781)
| sdtlseqdt0(W0_781,W1_780)
| ~ aElementOf0(W1_780,szNzAzT0)
| ~ aElementOf0(W0_781,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_303]) ).
tff(c_8412,plain,
~ sdtlseqdt0(szszuzczcdt0(xj),xi),
inference(cnfTransformation,[status(thm)],[f_909]) ).
tff(c_11659,plain,
( sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11652,c_8412]) ).
tff(c_11674,plain,
sdtlseqdt0(xi,xj),
inference(demodulation,[status(thm),theory(equality)],[c_8408,c_8406,c_11659]) ).
tff(c_8410,plain,
~ sdtlseqdt0(szszuzczcdt0(xi),xj),
inference(cnfTransformation,[status(thm)],[f_909]) ).
tff(c_11662,plain,
( sdtlseqdt0(xj,xi)
| ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11652,c_8410]) ).
tff(c_11677,plain,
sdtlseqdt0(xj,xi),
inference(demodulation,[status(thm),theory(equality)],[c_8406,c_8408,c_11662]) ).
tff(c_13159,plain,
! [W1_845,W0_846] :
( ( W1_845 = W0_846 )
| ~ sdtlseqdt0(W1_845,W0_846)
| ~ sdtlseqdt0(W0_846,W1_845)
| ~ aElementOf0(W1_845,szNzAzT0)
| ~ aElementOf0(W0_846,szNzAzT0) ),
inference(cnfTransformation,[status(thm)],[f_283]) ).
tff(c_13177,plain,
( ( xj = xi )
| ~ sdtlseqdt0(xi,xj)
| ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0) ),
inference(resolution,[status(thm)],[c_11677,c_13159]) ).
tff(c_13229,plain,
xj = xi,
inference(demodulation,[status(thm),theory(equality)],[c_8408,c_8406,c_11674,c_13177]) ).
tff(c_13231,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_8414,c_13229]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM576+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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 14:25:53 EDT 2023
% 0.13/0.35 % CPUTime :
% 78.58/62.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 78.58/62.20
% 78.58/62.20 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 78.73/62.23
% 78.73/62.23 Inference rules
% 78.73/62.23 ----------------------
% 78.73/62.23 #Ref : 1
% 78.73/62.23 #Sup : 928
% 78.73/62.23 #Fact : 0
% 78.73/62.23 #Define : 0
% 78.73/62.23 #Split : 37
% 78.73/62.23 #Chain : 0
% 78.73/62.23 #Close : 0
% 78.73/62.23
% 78.73/62.23 Ordering : KBO
% 78.73/62.23
% 78.73/62.23 Simplification rules
% 78.73/62.23 ----------------------
% 78.73/62.23 #Subsume : 720
% 78.73/62.23 #Demod : 660
% 78.73/62.23 #Tautology : 195
% 78.73/62.23 #SimpNegUnit : 35
% 78.73/62.23 #BackRed : 43
% 78.73/62.23
% 78.73/62.23 #Partial instantiations: 0
% 78.73/62.23 #Strategies tried : 1
% 78.73/62.23
% 78.73/62.23 Timing (in seconds)
% 78.73/62.23 ----------------------
% 78.73/62.23 Preprocessing : 2.06
% 78.73/62.23 Parsing : 0.42
% 78.73/62.23 CNF conversion : 0.16
% 78.73/62.23 Main loop : 58.98
% 78.73/62.23 Inferencing : 0.47
% 78.73/62.23 Reduction : 43.72
% 78.73/62.23 Demodulation : 37.51
% 78.73/62.23 BG Simplification : 0.67
% 78.73/62.23 Subsumption : 12.03
% 78.73/62.23 Abstraction : 0.48
% 78.73/62.23 MUC search : 0.00
% 78.73/62.23 Cooper : 0.00
% 78.73/62.23 Total : 61.09
% 78.73/62.23 Index Insertion : 0.00
% 78.73/62.23 Index Deletion : 0.00
% 78.73/62.23 Index Matching : 0.00
% 78.73/62.23 BG Taut test : 0.00
%------------------------------------------------------------------------------