TSTP Solution File: SWC007-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC007-1 : 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/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 : n008.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 11:00:42 EDT 2023
% Result : Unsatisfiable 24.58s 11.51s
% Output : CNFRefutation 24.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 81
% Syntax : Number of formulae : 101 ( 17 unt; 72 typ; 0 def)
% Number of atoms : 57 ( 30 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 62 ( 34 ~; 28 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 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 : 17 (; 17 !; 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,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_245,axiom,
! [U] :
( ~ ssList(U)
| ( app(U,nil) = U ) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
nil = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_989,axiom,
! [U,V] :
( ( nil != U )
| ( nil != V )
| ~ ssList(V)
| ~ ssList(U)
| ( app(U,V) = nil ) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
file(unknown,unknown) ).
tff(f_1651,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1666,axiom,
! [A,B,C] :
( ~ ssList(A)
| ~ ssList(B)
| ~ ssList(C)
| ( app(app(A,B),C) != sk2 )
| ( app(A,C) != sk1 ) ),
file(unknown,unknown) ).
tff(c_382,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_389,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_378]) ).
tff(c_481,plain,
! [U_395] :
( ( app(U_395,nil) = U_395 )
| ~ ssList(U_395) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_598,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_389,c_481]) ).
tff(c_380,plain,
sk3 = nil,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_390,plain,
ssList(nil),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_376]) ).
tff(c_290,plain,
( ( app(nil,nil) = nil )
| ~ ssList(nil) ),
inference(cnfTransformation,[status(thm)],[f_989]) ).
tff(c_394,plain,
app(nil,nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_290]) ).
tff(c_605,plain,
! [U_398] :
( ( app(nil,U_398) = U_398 )
| ~ ssList(U_398) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_722,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[c_389,c_605]) ).
tff(c_384,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1651]) ).
tff(c_387,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_380,c_384]) ).
tff(c_386,plain,
! [A_327,C_329,B_328] :
( ( app(A_327,C_329) != sk1 )
| ( app(app(A_327,B_328),C_329) != sk2 )
| ~ ssList(C_329)
| ~ ssList(B_328)
| ~ ssList(A_327) ),
inference(cnfTransformation,[status(thm)],[f_1666]) ).
tff(c_6495,plain,
! [A_801,C_802,B_803] :
( ( app(A_801,C_802) != nil )
| ( app(app(A_801,B_803),C_802) != sk2 )
| ~ ssList(C_802)
| ~ ssList(B_803)
| ~ ssList(A_801) ),
inference(demodulation,[status(thm),theory(equality)],[c_387,c_386]) ).
tff(c_6640,plain,
! [C_802] :
( ( app(nil,C_802) != nil )
| ( app(sk2,C_802) != sk2 )
| ~ ssList(C_802)
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_722,c_6495]) ).
tff(c_29440,plain,
! [C_1963] :
( ( app(nil,C_1963) != nil )
| ( app(sk2,C_1963) != sk2 )
| ~ ssList(C_1963) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_389,c_6640]) ).
tff(c_29533,plain,
( ( app(nil,nil) != nil )
| ( app(sk2,nil) != sk2 ) ),
inference(resolution,[status(thm)],[c_390,c_29440]) ).
tff(c_29597,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_598,c_394,c_29533]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC007-1 : TPTP v8.1.2. Released v2.4.0.
% 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
% 0.13/0.34 % Computer : n008.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 3 21:30:49 EDT 2023
% 0.13/0.34 % CPUTime :
% 24.58/11.51 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.58/11.52
% 24.58/11.52 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.58/11.54
% 24.58/11.54 Inference rules
% 24.58/11.54 ----------------------
% 24.58/11.54 #Ref : 0
% 24.58/11.54 #Sup : 6487
% 24.58/11.54 #Fact : 0
% 24.58/11.54 #Define : 0
% 24.58/11.54 #Split : 10
% 24.58/11.54 #Chain : 0
% 24.58/11.54 #Close : 0
% 24.58/11.54
% 24.58/11.54 Ordering : KBO
% 24.58/11.54
% 24.58/11.54 Simplification rules
% 24.58/11.54 ----------------------
% 24.58/11.54 #Subsume : 1491
% 24.58/11.54 #Demod : 7706
% 24.58/11.54 #Tautology : 2229
% 24.58/11.54 #SimpNegUnit : 62
% 24.58/11.54 #BackRed : 6
% 24.58/11.54
% 24.58/11.54 #Partial instantiations: 0
% 24.58/11.54 #Strategies tried : 1
% 24.58/11.54
% 24.58/11.54 Timing (in seconds)
% 24.58/11.54 ----------------------
% 24.58/11.55 Preprocessing : 0.85
% 24.58/11.55 Parsing : 0.44
% 24.58/11.55 CNF conversion : 0.06
% 24.58/11.55 Main loop : 9.66
% 24.58/11.55 Inferencing : 2.25
% 24.58/11.55 Reduction : 4.54
% 24.58/11.55 Demodulation : 3.55
% 24.58/11.55 BG Simplification : 0.11
% 24.58/11.55 Subsumption : 2.23
% 24.58/11.55 Abstraction : 0.13
% 24.58/11.55 MUC search : 0.00
% 24.58/11.55 Cooper : 0.00
% 24.58/11.55 Total : 10.55
% 24.58/11.55 Index Insertion : 0.00
% 24.58/11.55 Index Deletion : 0.00
% 24.58/11.55 Index Matching : 0.00
% 24.58/11.55 BG Taut test : 0.00
%------------------------------------------------------------------------------