TSTP Solution File: SWC218-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC218-1 : 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 : n015.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 11:01:40 EDT 2023
% Result : Unsatisfiable 38.58s 22.61s
% Output : CNFRefutation 38.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 98
% Syntax : Number of formulae : 192 ( 67 unt; 75 typ; 0 def)
% Number of atoms : 234 ( 53 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 254 ( 137 ~; 117 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 4 ( 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 : 56 ( 56 usr; 10 con; 0-2 aty)
% Number of variables : 50 (; 50 !; 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 > sk7 > sk6 > sk5 > 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(sk6,type,
sk6: $i ).
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(sk5,type,
sk5: $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(sk7,type,
sk7: $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_1654,axiom,
ssItem(sk7),
file(unknown,unknown) ).
tff(f_56,axiom,
ssList(nil),
file(unknown,unknown) ).
tff(f_446,axiom,
! [U,V] :
( ( cons(U,V) != V )
| ~ ssItem(U)
| ~ ssList(V) ),
file(unknown,unknown) ).
tff(f_342,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ssList(cons(U,V)) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
file(unknown,unknown) ).
tff(f_975,axiom,
! [U,V,W] :
( ( app(U,V) != W )
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| frontsegP(W,U) ),
file(unknown,unknown) ).
tff(f_334,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(V,U)) ),
file(unknown,unknown) ).
tff(f_1652,axiom,
ssList(sk6),
file(unknown,unknown) ).
tff(f_245,axiom,
! [U] :
( ~ ssList(U)
| ( app(U,nil) = U ) ),
file(unknown,unknown) ).
tff(f_961,axiom,
! [U,V,W] :
( ( app(U,V) != W )
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| rearsegP(W,V) ),
file(unknown,unknown) ).
tff(f_770,axiom,
! [U,V] :
( ~ rearsegP(U,V)
| ~ rearsegP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1651,axiom,
ssList(sk5),
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1657,axiom,
~ neq(sk1,nil),
file(unknown,unknown) ).
tff(f_1655,axiom,
app(app(sk5,cons(sk7,nil)),sk6) = sk3,
file(unknown,unknown) ).
tff(f_1653,axiom,
app(sk5,sk6) = sk4,
file(unknown,unknown) ).
tff(f_784,axiom,
! [U,V] :
( ~ frontsegP(U,V)
| ~ frontsegP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1371,axiom,
! [U,V,W,X] :
( ( app(app(U,V),W) != X )
| ~ ssList(W)
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(X)
| segmentP(X,V) ),
file(unknown,unknown) ).
tff(f_294,axiom,
! [U] :
( ~ segmentP(nil,U)
| ~ ssList(U)
| ( nil = U ) ),
file(unknown,unknown) ).
tff(c_390,plain,
ssItem(sk7),
inference(cnfTransformation,[status(thm)],[f_1654]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1118,plain,
! [V_449,U_450] :
( ~ ssList(V_449)
| ~ ssItem(U_450)
| ( cons(U_450,V_449) != V_449 ) ),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_3084,plain,
! [U_607] :
( ~ ssItem(U_607)
| ( cons(U_607,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1118]) ).
tff(c_3160,plain,
cons(sk7,nil) != nil,
inference(resolution,[status(thm)],[c_390,c_3084]) ).
tff(c_172,plain,
! [U_82,V_83] :
( ssList(cons(U_82,V_83))
| ~ ssList(V_83)
| ~ ssItem(U_82) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_397,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_467,plain,
! [U_387] :
( ( app(nil,U_387) = U_387 )
| ~ ssList(U_387) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_591,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_467]) ).
tff(c_29297,plain,
! [U_2187,V_2188] :
( frontsegP(app(U_2187,V_2188),U_2187)
| ~ ssList(app(U_2187,V_2188))
| ~ ssList(U_2187)
| ~ ssList(V_2188) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_29431,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_591,c_29297]) ).
tff(c_29521,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_591,c_29431]) ).
tff(c_170,plain,
! [V_81,U_80] :
( ssList(app(V_81,U_80))
| ~ ssList(V_81)
| ~ ssList(U_80) ),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_386,plain,
ssList(sk6),
inference(cnfTransformation,[status(thm)],[f_1652]) ).
tff(c_755,plain,
! [U_397] :
( ( app(U_397,nil) = U_397 )
| ~ ssList(U_397) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_884,plain,
app(sk6,nil) = sk6,
inference(resolution,[status(thm)],[c_386,c_755]) ).
tff(c_29043,plain,
! [U_2185,V_2186] :
( rearsegP(app(U_2185,V_2186),V_2186)
| ~ ssList(app(U_2185,V_2186))
| ~ ssList(V_2186)
| ~ ssList(U_2185) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_29165,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_884,c_29043]) ).
tff(c_29259,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_386,c_884,c_29165]) ).
tff(c_256,plain,
! [V_155,U_154] :
( ( V_155 = U_154 )
| ~ ssList(V_155)
| ~ ssList(U_154)
| ~ rearsegP(V_155,U_154)
| ~ rearsegP(U_154,V_155) ),
inference(cnfTransformation,[status(thm)],[f_770]) ).
tff(c_29287,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ rearsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_29259,c_256]) ).
tff(c_29290,plain,
( ( sk6 = nil )
| ~ rearsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_29287]) ).
tff(c_39131,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_29290]) ).
tff(c_883,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_397,c_755]) ).
tff(c_29413,plain,
( frontsegP(sk2,sk2)
| ~ ssList(app(sk2,nil))
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_883,c_29297]) ).
tff(c_29509,plain,
frontsegP(sk2,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_397,c_397,c_883,c_29413]) ).
tff(c_384,plain,
ssList(sk5),
inference(cnfTransformation,[status(thm)],[f_1651]) ).
tff(c_32543,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_29290]) ).
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_398,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_2063,plain,
! [V_509,U_510] :
( ( V_509 = U_510 )
| neq(V_509,U_510)
| ~ ssList(V_509)
| ~ ssList(U_510) ),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_394,plain,
~ neq(sk1,nil),
inference(cnfTransformation,[status(thm)],[f_1657]) ).
tff(c_2074,plain,
( ( sk1 = nil )
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_2063,c_394]) ).
tff(c_2081,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_398,c_2074]) ).
tff(c_392,plain,
app(app(sk5,cons(sk7,nil)),sk6) = sk3,
inference(cnfTransformation,[status(thm)],[f_1655]) ).
tff(c_395,plain,
app(app(sk5,cons(sk7,nil)),sk6) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_392]) ).
tff(c_2082,plain,
app(app(sk5,cons(sk7,nil)),sk6) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_2081,c_395]) ).
tff(c_286,plain,
! [U_189,V_190] :
( rearsegP(app(U_189,V_190),V_190)
| ~ ssList(app(U_189,V_190))
| ~ ssList(V_190)
| ~ ssList(U_189) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_38201,plain,
( rearsegP(nil,sk6)
| ~ ssList(app(app(sk5,cons(sk7,nil)),sk6))
| ~ ssList(sk6)
| ~ ssList(app(sk5,cons(sk7,nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_2082,c_286]) ).
tff(c_38240,plain,
( rearsegP(nil,sk6)
| ~ ssList(app(sk5,cons(sk7,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_2082,c_38201]) ).
tff(c_38241,plain,
~ ssList(app(sk5,cons(sk7,nil))),
inference(negUnitSimplification,[status(thm)],[c_32543,c_38240]) ).
tff(c_38413,plain,
( ~ ssList(sk5)
| ~ ssList(cons(sk7,nil)) ),
inference(resolution,[status(thm)],[c_170,c_38241]) ).
tff(c_38416,plain,
~ ssList(cons(sk7,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_38413]) ).
tff(c_38419,plain,
( ~ ssList(nil)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[c_172,c_38416]) ).
tff(c_38423,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_38419]) ).
tff(c_38424,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_29290]) ).
tff(c_388,plain,
app(sk5,sk6) = sk4,
inference(cnfTransformation,[status(thm)],[f_1653]) ).
tff(c_396,plain,
app(sk5,sk6) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_380,c_388]) ).
tff(c_38477,plain,
app(sk5,nil) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_38424,c_396]) ).
tff(c_881,plain,
app(sk5,nil) = sk5,
inference(resolution,[status(thm)],[c_384,c_755]) ).
tff(c_38493,plain,
sk5 = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_38477,c_881]) ).
tff(c_29434,plain,
( frontsegP(sk2,sk5)
| ~ ssList(app(sk5,sk6))
| ~ ssList(sk5)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_396,c_29297]) ).
tff(c_29523,plain,
frontsegP(sk2,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_384,c_397,c_396,c_29434]) ).
tff(c_258,plain,
! [V_157,U_156] :
( ( V_157 = U_156 )
| ~ ssList(V_157)
| ~ ssList(U_156)
| ~ frontsegP(V_157,U_156)
| ~ frontsegP(U_156,V_157) ),
inference(cnfTransformation,[status(thm)],[f_784]) ).
tff(c_29525,plain,
( ( sk5 = sk2 )
| ~ ssList(sk2)
| ~ ssList(sk5)
| ~ frontsegP(sk5,sk2) ),
inference(resolution,[status(thm)],[c_29523,c_258]) ).
tff(c_29528,plain,
( ( sk5 = sk2 )
| ~ frontsegP(sk5,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_397,c_29525]) ).
tff(c_32231,plain,
~ frontsegP(sk5,sk2),
inference(splitLeft,[status(thm)],[c_29528]) ).
tff(c_38599,plain,
~ frontsegP(sk2,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_38493,c_32231]) ).
tff(c_38656,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29509,c_38599]) ).
tff(c_38657,plain,
sk5 = sk2,
inference(splitRight,[status(thm)],[c_29528]) ).
tff(c_46149,plain,
app(app(sk2,cons(sk7,nil)),sk6) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_38657,c_2082]) ).
tff(c_46192,plain,
( rearsegP(nil,sk6)
| ~ ssList(app(app(sk2,cons(sk7,nil)),sk6))
| ~ ssList(sk6)
| ~ ssList(app(sk2,cons(sk7,nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_46149,c_286]) ).
tff(c_46231,plain,
( rearsegP(nil,sk6)
| ~ ssList(app(sk2,cons(sk7,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_46149,c_46192]) ).
tff(c_46232,plain,
~ ssList(app(sk2,cons(sk7,nil))),
inference(negUnitSimplification,[status(thm)],[c_39131,c_46231]) ).
tff(c_46242,plain,
( ~ ssList(sk2)
| ~ ssList(cons(sk7,nil)) ),
inference(resolution,[status(thm)],[c_170,c_46232]) ).
tff(c_46245,plain,
~ ssList(cons(sk7,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_397,c_46242]) ).
tff(c_46249,plain,
( ~ ssList(nil)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[c_172,c_46245]) ).
tff(c_46253,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_46249]) ).
tff(c_46254,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_29290]) ).
tff(c_595,plain,
app(nil,sk6) = sk6,
inference(resolution,[status(thm)],[c_386,c_467]) ).
tff(c_29422,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_595,c_29297]) ).
tff(c_29515,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_386,c_595,c_29422]) ).
tff(c_29597,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_29515,c_258]) ).
tff(c_29600,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_29597]) ).
tff(c_39076,plain,
~ frontsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_29600]) ).
tff(c_46256,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_46254,c_39076]) ).
tff(c_46312,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_29521,c_46256]) ).
tff(c_46313,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_29600]) ).
tff(c_51365,plain,
app(app(sk2,cons(sk7,nil)),nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_46313,c_38657,c_2082]) ).
tff(c_346,plain,
! [U_265,V_266,W_267] :
( segmentP(app(app(U_265,V_266),W_267),V_266)
| ~ ssList(app(app(U_265,V_266),W_267))
| ~ ssList(V_266)
| ~ ssList(U_265)
| ~ ssList(W_267) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_51372,plain,
( segmentP(nil,cons(sk7,nil))
| ~ ssList(app(app(sk2,cons(sk7,nil)),nil))
| ~ ssList(cons(sk7,nil))
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_51365,c_346]) ).
tff(c_51423,plain,
( segmentP(nil,cons(sk7,nil))
| ~ ssList(cons(sk7,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_397,c_16,c_51365,c_51372]) ).
tff(c_66965,plain,
~ ssList(cons(sk7,nil)),
inference(splitLeft,[status(thm)],[c_51423]) ).
tff(c_66968,plain,
( ~ ssList(nil)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[c_172,c_66965]) ).
tff(c_66972,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_66968]) ).
tff(c_66974,plain,
ssList(cons(sk7,nil)),
inference(splitRight,[status(thm)],[c_51423]) ).
tff(c_66973,plain,
segmentP(nil,cons(sk7,nil)),
inference(splitRight,[status(thm)],[c_51423]) ).
tff(c_160,plain,
! [U_75] :
( ( nil = U_75 )
| ~ ssList(U_75)
| ~ segmentP(nil,U_75) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_67106,plain,
( ( cons(sk7,nil) = nil )
| ~ ssList(cons(sk7,nil)) ),
inference(resolution,[status(thm)],[c_66973,c_160]) ).
tff(c_67116,plain,
cons(sk7,nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_66974,c_67106]) ).
tff(c_67118,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_3160,c_67116]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SWC218-1 : TPTP v8.1.2. Released v2.4.0.
% 0.08/0.15 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.14/0.36 % Computer : n015.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 21:43:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 38.58/22.61 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 38.58/22.63
% 38.58/22.63 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 38.58/22.67
% 38.58/22.67 Inference rules
% 38.58/22.67 ----------------------
% 38.58/22.67 #Ref : 0
% 38.58/22.67 #Sup : 14493
% 38.58/22.67 #Fact : 0
% 38.58/22.67 #Define : 0
% 38.58/22.67 #Split : 38
% 38.58/22.67 #Chain : 0
% 38.58/22.67 #Close : 0
% 38.58/22.67
% 38.58/22.67 Ordering : KBO
% 38.58/22.67
% 38.58/22.67 Simplification rules
% 38.58/22.67 ----------------------
% 38.58/22.67 #Subsume : 2604
% 38.58/22.67 #Demod : 18534
% 38.58/22.67 #Tautology : 4841
% 38.58/22.67 #SimpNegUnit : 137
% 38.58/22.67 #BackRed : 526
% 38.58/22.67
% 38.58/22.67 #Partial instantiations: 0
% 38.58/22.67 #Strategies tried : 1
% 38.58/22.67
% 38.58/22.67 Timing (in seconds)
% 38.58/22.67 ----------------------
% 38.58/22.68 Preprocessing : 0.86
% 38.58/22.68 Parsing : 0.44
% 38.58/22.68 CNF conversion : 0.06
% 38.58/22.68 Main loop : 20.69
% 38.58/22.68 Inferencing : 4.30
% 38.58/22.68 Reduction : 10.58
% 38.58/22.68 Demodulation : 8.33
% 38.58/22.68 BG Simplification : 0.15
% 38.58/22.68 Subsumption : 4.39
% 38.58/22.68 Abstraction : 0.22
% 38.58/22.68 MUC search : 0.00
% 38.58/22.68 Cooper : 0.00
% 38.58/22.68 Total : 21.63
% 38.58/22.68 Index Insertion : 0.00
% 38.58/22.68 Index Deletion : 0.00
% 38.58/22.68 Index Matching : 0.00
% 38.58/22.68 BG Taut test : 0.00
%------------------------------------------------------------------------------