TSTP Solution File: SWC049-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC049-1 : TPTP v8.1.2. Released v2.4.0.
% 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 : n003.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 11:00:56 EDT 2023
% Result : Unsatisfiable 10.39s 3.33s
% Output : CNFRefutation 10.59s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 84
% Syntax : Number of formulae : 119 ( 25 unt; 72 typ; 0 def)
% Number of atoms : 79 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 71 ( 39 ~; 32 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 8 (; 8 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > skaf48 > skaf47 > skaf46 > skaf45 > skaf43 > skaf42 > cons > app > #nlpp > tl > skaf83 > skaf82 > skaf81 > skaf80 > skaf79 > skaf78 > skaf77 > skaf76 > skaf75 > skaf74 > skaf73 > skaf72 > skaf71 > skaf70 > skaf69 > skaf68 > skaf67 > skaf66 > skaf65 > skaf64 > skaf63 > skaf62 > skaf61 > skaf60 > skaf59 > skaf58 > skaf57 > skaf56 > skaf55 > skaf54 > skaf53 > skaf52 > skaf51 > skaf50 > skaf49 > skaf44 > hd > skac3 > skac2 > sk4 > sk3 > sk2 > sk1 > nil
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(skaf56,type,
skaf56: $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff(skaf74,type,
skaf74: $i > $i ).
tff(skaf61,type,
skaf61: $i > $i ).
tff(skaf51,type,
skaf51: $i > $i ).
tff(skaf83,type,
skaf83: $i > $i ).
tff(skac2,type,
skac2: $i ).
tff(skaf63,type,
skaf63: $i > $i ).
tff(skaf62,type,
skaf62: $i > $i ).
tff(sk2,type,
sk2: $i ).
tff(skaf52,type,
skaf52: $i > $i ).
tff(skaf50,type,
skaf50: $i > $i ).
tff(skaf42,type,
skaf42: ( $i * $i ) > $i ).
tff(skaf44,type,
skaf44: $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff(skaf67,type,
skaf67: $i > $i ).
tff(skaf75,type,
skaf75: $i > $i ).
tff(sk1,type,
sk1: $i ).
tff(skaf58,type,
skaf58: $i > $i ).
tff(skaf46,type,
skaf46: ( $i * $i ) > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff(skaf70,type,
skaf70: $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff(skaf82,type,
skaf82: $i > $i ).
tff(skaf47,type,
skaf47: ( $i * $i ) > $i ).
tff(skaf76,type,
skaf76: $i > $i ).
tff(skac3,type,
skac3: $i ).
tff(skaf80,type,
skaf80: $i > $i ).
tff(skaf59,type,
skaf59: $i > $i ).
tff(skaf53,type,
skaf53: $i > $i ).
tff(skaf45,type,
skaf45: ( $i * $i ) > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff(skaf72,type,
skaf72: $i > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(skaf64,type,
skaf64: $i > $i ).
tff(sk4,type,
sk4: $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(skaf71,type,
skaf71: $i > $i ).
tff(skaf78,type,
skaf78: $i > $i ).
tff(skaf79,type,
skaf79: $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff(skaf73,type,
skaf73: $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(skaf54,type,
skaf54: $i > $i ).
tff(skaf77,type,
skaf77: $i > $i ).
tff(sk3,type,
sk3: $i ).
tff(skaf66,type,
skaf66: $i > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff(skaf81,type,
skaf81: $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(skaf60,type,
skaf60: $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(skaf69,type,
skaf69: $i > $i ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff(skaf43,type,
skaf43: ( $i * $i ) > $i ).
tff(skaf48,type,
skaf48: ( $i * $i ) > $i ).
tff(skaf65,type,
skaf65: $i > $i ).
tff(skaf57,type,
skaf57: $i > $i ).
tff(nil,type,
nil: $i ).
tff(skaf49,type,
skaf49: $i > $i ).
tff(skaf55,type,
skaf55: $i > $i ).
tff(skaf68,type,
skaf68: $i > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_171,axiom,
! [U] :
( ~ ssList(U)
| rearsegP(U,U) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1666,axiom,
( ( nil = sk3 )
| ( nil != sk4 ) ),
file(unknown,unknown) ).
tff(f_56,axiom,
ssList(nil),
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1679,axiom,
( ~ neq(sk4,nil)
| rearsegP(sk4,sk3) ),
file(unknown,unknown) ).
tff(f_1675,axiom,
( ~ neq(sk4,nil)
| neq(sk3,nil) ),
file(unknown,unknown) ).
tff(f_1662,axiom,
! [A] :
( ~ ssList(A)
| ~ neq(A,nil)
| ~ rearsegP(sk2,A)
| ~ rearsegP(sk1,A) ),
file(unknown,unknown) ).
tff(f_1671,axiom,
( ( nil != sk2 )
| ( nil != sk1 ) ),
file(unknown,unknown) ).
tff(c_382,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_400,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_118,plain,
! [U_53] :
( rearsegP(U_53,U_53)
| ~ ssList(U_53) ),
inference(cnfTransformation,[status(thm)],[f_171]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_386,plain,
( ( sk4 != nil )
| ( sk3 = nil ) ),
inference(cnfTransformation,[status(thm)],[f_1666]) ).
tff(c_393,plain,
( ( sk4 != nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_386]) ).
tff(c_396,plain,
( ( sk2 != nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_393]) ).
tff(c_452,plain,
sk2 != nil,
inference(splitLeft,[status(thm)],[c_396]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_399,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_2194,plain,
! [V_521,U_522] :
( ( V_521 = U_522 )
| neq(V_521,U_522)
| ~ ssList(V_521)
| ~ ssList(U_522) ),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_392,plain,
( rearsegP(sk4,sk3)
| ~ neq(sk4,nil) ),
inference(cnfTransformation,[status(thm)],[f_1679]) ).
tff(c_394,plain,
( rearsegP(sk4,sk1)
| ~ neq(sk4,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_392]) ).
tff(c_397,plain,
( rearsegP(sk2,sk1)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_394]) ).
tff(c_466,plain,
~ neq(sk2,nil),
inference(splitLeft,[status(thm)],[c_397]) ).
tff(c_2197,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_2194,c_466]) ).
tff(c_2208,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_399,c_2197]) ).
tff(c_2210,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_452,c_2208]) ).
tff(c_2212,plain,
neq(sk2,nil),
inference(splitRight,[status(thm)],[c_397]) ).
tff(c_390,plain,
( neq(sk3,nil)
| ~ neq(sk4,nil) ),
inference(cnfTransformation,[status(thm)],[f_1675]) ).
tff(c_395,plain,
( neq(sk1,nil)
| ~ neq(sk4,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_390]) ).
tff(c_398,plain,
( neq(sk1,nil)
| ~ neq(sk2,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_395]) ).
tff(c_2350,plain,
neq(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_2212,c_398]) ).
tff(c_2211,plain,
rearsegP(sk2,sk1),
inference(splitRight,[status(thm)],[c_397]) ).
tff(c_4766,plain,
! [A_731] :
( ~ rearsegP(sk1,A_731)
| ~ rearsegP(sk2,A_731)
| ~ neq(A_731,nil)
| ~ ssList(A_731) ),
inference(cnfTransformation,[status(thm)],[f_1662]) ).
tff(c_4769,plain,
( ~ rearsegP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_2211,c_4766]) ).
tff(c_4780,plain,
~ rearsegP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_2350,c_4769]) ).
tff(c_4789,plain,
~ ssList(sk1),
inference(resolution,[status(thm)],[c_118,c_4780]) ).
tff(c_4793,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_400,c_4789]) ).
tff(c_4795,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_396]) ).
tff(c_4794,plain,
sk1 = nil,
inference(splitRight,[status(thm)],[c_396]) ).
tff(c_388,plain,
( ( sk1 != nil )
| ( sk2 != nil ) ),
inference(cnfTransformation,[status(thm)],[f_1671]) ).
tff(c_4819,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4795,c_4794,c_388]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC049-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % 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
% 0.15/0.34 % Computer : n003.cluster.edu
% 0.15/0.34 % Model : x86_64 x86_64
% 0.15/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.34 % Memory : 8042.1875MB
% 0.15/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.34 % CPULimit : 300
% 0.15/0.34 % WCLimit : 300
% 0.15/0.34 % DateTime : Thu Aug 3 21:36:53 EDT 2023
% 0.15/0.34 % CPUTime :
% 10.39/3.33 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.39/3.34
% 10.39/3.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 10.59/3.37
% 10.59/3.37 Inference rules
% 10.59/3.37 ----------------------
% 10.59/3.37 #Ref : 0
% 10.59/3.37 #Sup : 1027
% 10.59/3.37 #Fact : 0
% 10.59/3.37 #Define : 0
% 10.59/3.37 #Split : 11
% 10.59/3.37 #Chain : 0
% 10.59/3.37 #Close : 0
% 10.59/3.37
% 10.59/3.37 Ordering : KBO
% 10.59/3.37
% 10.59/3.37 Simplification rules
% 10.59/3.37 ----------------------
% 10.59/3.37 #Subsume : 24
% 10.59/3.37 #Demod : 288
% 10.59/3.37 #Tautology : 250
% 10.59/3.37 #SimpNegUnit : 3
% 10.59/3.37 #BackRed : 4
% 10.59/3.37
% 10.59/3.37 #Partial instantiations: 0
% 10.59/3.37 #Strategies tried : 1
% 10.59/3.37
% 10.59/3.37 Timing (in seconds)
% 10.59/3.37 ----------------------
% 10.59/3.37 Preprocessing : 0.86
% 10.59/3.37 Parsing : 0.45
% 10.59/3.37 CNF conversion : 0.06
% 10.59/3.37 Main loop : 1.46
% 10.59/3.37 Inferencing : 0.46
% 10.59/3.37 Reduction : 0.52
% 10.59/3.37 Demodulation : 0.37
% 10.59/3.37 BG Simplification : 0.07
% 10.59/3.37 Subsumption : 0.27
% 10.59/3.37 Abstraction : 0.04
% 10.59/3.37 MUC search : 0.00
% 10.59/3.37 Cooper : 0.00
% 10.59/3.37 Total : 2.38
% 10.59/3.37 Index Insertion : 0.00
% 10.59/3.37 Index Deletion : 0.00
% 10.59/3.37 Index Matching : 0.00
% 10.59/3.37 BG Taut test : 0.00
%------------------------------------------------------------------------------