TSTP Solution File: NUM552+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : NUM552+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 : n023.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 10:52:05 EDT 2023
% Result : Theorem 6.86s 2.69s
% Output : CNFRefutation 7.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 47
% Syntax : Number of formulae : 68 ( 14 unt; 40 typ; 2 def)
% Number of atoms : 59 ( 4 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 54 ( 23 ~; 17 |; 7 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 56 ( 31 >; 25 *; 0 +; 0 <<)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 32 ( 32 usr; 9 con; 0-3 aty)
% Number of variables : 17 (; 17 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ sdtlseqdt0 > iLess0 > aSubsetOf0 > aElementOf0 > isFinite0 > isCountable0 > aSet0 > aElement0 > slbdtsldtrb0 > sdtpldt0 > sdtmndt0 > #nlpp > szszuzczcdt0 > szmzizndt0 > szmzazxdt0 > slbdtrb0 > sbrdtbr0 > xy > xx > xk > xT > xS > xQ > szNzAzT0 > sz00 > slcrc0 > #skF_7 > #skF_11 > #skF_6 > #skF_1 > #skF_4 > #skF_12 > #skF_5 > #skF_10 > #skF_8 > #skF_15 > #skF_13 > #skF_14 > #skF_3 > #skF_2 > #skF_9
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(xk,type,
xk: $i ).
tff('#skF_7',type,
'#skF_7': $i > $i ).
tff('#skF_11',type,
'#skF_11': ( $i * $i ) > $i ).
tff(sbrdtbr0,type,
sbrdtbr0: $i > $i ).
tff(aSet0,type,
aSet0: $i > $o ).
tff(szszuzczcdt0,type,
szszuzczcdt0: $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(aElement0,type,
aElement0: $i > $o ).
tff(szNzAzT0,type,
szNzAzT0: $i ).
tff(sdtlseqdt0,type,
sdtlseqdt0: ( $i * $i ) > $o ).
tff(xS,type,
xS: $i ).
tff(sz00,type,
sz00: $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i * $i ) > $i ).
tff(xy,type,
xy: $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(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_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(isFinite0,type,
isFinite0: $i > $o ).
tff(xQ,type,
xQ: $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $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_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(slbdtrb0,type,
slbdtrb0: $i > $i ).
tff(f_544,negated_conjecture,
~ ( aElementOf0(xx,xQ)
=> aElementOf0(xx,xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
tff(f_526,hypothesis,
( aSet0(xS)
& aSet0(xT)
& ( xk != sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202_02) ).
tff(f_520,hypothesis,
aElementOf0(xk,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2202) ).
tff(f_487,definition,
! [W0,W1] :
( ( aSet0(W0)
& aElementOf0(W1,szNzAzT0) )
=> ! [W2] :
( ( W2 = slbdtsldtrb0(W0,W1) )
<=> ( aSet0(W2)
& ! [W3] :
( aElementOf0(W3,W2)
<=> ( aSubsetOf0(W3,W0)
& ( sbrdtbr0(W3) = W1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
tff(f_530,hypothesis,
( aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk))
& ( slbdtsldtrb0(xS,xk) != slcrc0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2227) ).
tff(f_532,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2270) ).
tff(f_84,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( aSet0(W1)
& ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
tff(c_278,plain,
~ aElementOf0(xx,xT),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_256,plain,
aSet0(xT),
inference(cnfTransformation,[status(thm)],[f_526]) ).
tff(c_252,plain,
aElementOf0(xk,szNzAzT0),
inference(cnfTransformation,[status(thm)],[f_520]) ).
tff(c_228,plain,
! [W0_151,W1_152] :
( aSet0(slbdtsldtrb0(W0_151,W1_152))
| ~ aElementOf0(W1_152,szNzAzT0)
| ~ aSet0(W0_151) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_262,plain,
aSubsetOf0(slbdtsldtrb0(xS,xk),slbdtsldtrb0(xT,xk)),
inference(cnfTransformation,[status(thm)],[f_530]) ).
tff(c_266,plain,
aElementOf0(xQ,slbdtsldtrb0(xS,xk)),
inference(cnfTransformation,[status(thm)],[f_532]) ).
tff(c_1374,plain,
! [W2_286,W0_287,W1_288] :
( aElementOf0(W2_286,W0_287)
| ~ aElementOf0(W2_286,W1_288)
| ~ aSubsetOf0(W1_288,W0_287)
| ~ aSet0(W0_287) ),
inference(cnfTransformation,[status(thm)],[f_84]) ).
tff(c_1505,plain,
! [W0_294] :
( aElementOf0(xQ,W0_294)
| ~ aSubsetOf0(slbdtsldtrb0(xS,xk),W0_294)
| ~ aSet0(W0_294) ),
inference(resolution,[status(thm)],[c_266,c_1374]) ).
tff(c_1518,plain,
( aElementOf0(xQ,slbdtsldtrb0(xT,xk))
| ~ aSet0(slbdtsldtrb0(xT,xk)) ),
inference(resolution,[status(thm)],[c_262,c_1505]) ).
tff(c_1584,plain,
~ aSet0(slbdtsldtrb0(xT,xk)),
inference(splitLeft,[status(thm)],[c_1518]) ).
tff(c_1587,plain,
( ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_228,c_1584]) ).
tff(c_1591,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_256,c_252,c_1587]) ).
tff(c_1592,plain,
aElementOf0(xQ,slbdtsldtrb0(xT,xk)),
inference(splitRight,[status(thm)],[c_1518]) ).
tff(c_2176,plain,
! [W3_337,W0_338,W1_339] :
( aSubsetOf0(W3_337,W0_338)
| ~ aElementOf0(W3_337,slbdtsldtrb0(W0_338,W1_339))
| ~ aElementOf0(W1_339,szNzAzT0)
| ~ aSet0(W0_338) ),
inference(cnfTransformation,[status(thm)],[f_487]) ).
tff(c_2183,plain,
( aSubsetOf0(xQ,xT)
| ~ aElementOf0(xk,szNzAzT0)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_1592,c_2176]) ).
tff(c_2206,plain,
aSubsetOf0(xQ,xT),
inference(demodulation,[status(thm),theory(equality)],[c_256,c_252,c_2183]) ).
tff(c_280,plain,
aElementOf0(xx,xQ),
inference(cnfTransformation,[status(thm)],[f_544]) ).
tff(c_1419,plain,
! [W0_287] :
( aElementOf0(xx,W0_287)
| ~ aSubsetOf0(xQ,W0_287)
| ~ aSet0(W0_287) ),
inference(resolution,[status(thm)],[c_280,c_1374]) ).
tff(c_2259,plain,
( aElementOf0(xx,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[c_2206,c_1419]) ).
tff(c_2274,plain,
aElementOf0(xx,xT),
inference(demodulation,[status(thm),theory(equality)],[c_256,c_2259]) ).
tff(c_2276,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_278,c_2274]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : NUM552+1 : TPTP v8.1.2. Released v4.0.0.
% 0.09/0.15 % 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
% 0.15/0.36 % Computer : n023.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 15:29:52 EDT 2023
% 0.15/0.36 % CPUTime :
% 6.86/2.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.86/2.70
% 6.86/2.70 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 7.24/2.73
% 7.24/2.73 Inference rules
% 7.24/2.73 ----------------------
% 7.24/2.73 #Ref : 1
% 7.24/2.73 #Sup : 368
% 7.24/2.73 #Fact : 0
% 7.24/2.73 #Define : 0
% 7.24/2.73 #Split : 23
% 7.24/2.73 #Chain : 0
% 7.24/2.73 #Close : 0
% 7.24/2.73
% 7.24/2.73 Ordering : KBO
% 7.24/2.73
% 7.24/2.73 Simplification rules
% 7.24/2.73 ----------------------
% 7.24/2.73 #Subsume : 75
% 7.24/2.73 #Demod : 324
% 7.24/2.73 #Tautology : 125
% 7.24/2.73 #SimpNegUnit : 22
% 7.24/2.73 #BackRed : 49
% 7.24/2.73
% 7.24/2.73 #Partial instantiations: 0
% 7.24/2.73 #Strategies tried : 1
% 7.24/2.73
% 7.24/2.73 Timing (in seconds)
% 7.24/2.73 ----------------------
% 7.24/2.73 Preprocessing : 0.74
% 7.24/2.73 Parsing : 0.36
% 7.24/2.73 CNF conversion : 0.07
% 7.24/2.73 Main loop : 0.85
% 7.24/2.73 Inferencing : 0.28
% 7.24/2.73 Reduction : 0.27
% 7.24/2.73 Demodulation : 0.18
% 7.24/2.73 BG Simplification : 0.06
% 7.24/2.73 Subsumption : 0.18
% 7.24/2.73 Abstraction : 0.03
% 7.24/2.73 MUC search : 0.00
% 7.24/2.73 Cooper : 0.00
% 7.24/2.73 Total : 1.63
% 7.24/2.73 Index Insertion : 0.00
% 7.24/2.73 Index Deletion : 0.00
% 7.24/2.73 Index Matching : 0.00
% 7.24/2.73 BG Taut test : 0.00
%------------------------------------------------------------------------------