TSTP Solution File: SWC183-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC183-1 : 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 : n026.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 11:01:30 EDT 2023
% Result : Unsatisfiable 147.65s 127.12s
% Output : CNFRefutation 148.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 126
% Syntax : Number of formulae : 672 ( 278 unt; 76 typ; 0 def)
% Number of atoms : 1311 ( 367 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 1460 ( 745 ~; 715 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 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 : 57 ( 57 usr; 11 con; 0-2 aty)
% Number of variables : 274 (; 274 !; 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 > sk8 > 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(sk8,type,
sk8: $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_1651,axiom,
ssItem(sk5),
file(unknown,unknown) ).
tff(f_56,axiom,
ssList(nil),
file(unknown,unknown) ).
tff(f_437,axiom,
! [U,V] :
( ( cons(U,V) != nil )
| ~ 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_1652,axiom,
ssList(sk6),
file(unknown,unknown) ).
tff(f_245,axiom,
! [U] :
( ~ ssList(U)
| ( app(U,nil) = 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_1653,axiom,
ssList(sk7),
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_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1660,axiom,
( ssItem(sk8)
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [U] : ssItem(skaf83(U)),
file(unknown,unknown) ).
tff(f_64,axiom,
! [U] : ssList(skaf82(U)),
file(unknown,unknown) ).
tff(f_543,axiom,
! [U] :
( ~ ssList(U)
| ( cons(skaf83(U),skaf82(U)) = U )
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_420,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( tl(cons(U,V)) = V ) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
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_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1666,axiom,
( ( cons(sk8,nil) = sk3 )
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_446,axiom,
! [U,V] :
( ( cons(U,V) != V )
| ~ ssItem(U)
| ~ ssList(V) ),
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_428,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( hd(cons(U,V)) = U ) ),
file(unknown,unknown) ).
tff(f_666,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( app(cons(U,nil),V) = cons(U,V) ) ),
file(unknown,unknown) ).
tff(f_1422,axiom,
! [U,V,W,X] :
( ~ frontsegP(cons(U,V),cons(W,X))
| ~ ssList(X)
| ~ ssList(V)
| ~ ssItem(W)
| ~ ssItem(U)
| ( U = W ) ),
file(unknown,unknown) ).
tff(f_1654,axiom,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
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_1051,axiom,
! [U,V,W] :
( ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ( app(app(W,V),U) = app(W,app(V,U)) ) ),
file(unknown,unknown) ).
tff(f_1460,axiom,
! [U,V,W,X] :
( ~ frontsegP(U,V)
| ( W != X )
| ~ ssList(V)
| ~ ssList(U)
| ~ ssItem(X)
| ~ ssItem(W)
| frontsegP(cons(W,U),cons(X,V)) ),
file(unknown,unknown) ).
tff(f_926,axiom,
! [U,V,W] :
( ~ memberP(U,V)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| memberP(app(U,W),V) ),
file(unknown,unknown) ).
tff(f_1405,axiom,
! [U,V,W,X] :
( ( app(U,cons(V,W)) != X )
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| ~ ssList(X)
| memberP(X,V) ),
file(unknown,unknown) ).
tff(f_1239,axiom,
! [U,V,W] :
( ~ memberP(cons(U,V),W)
| ~ ssList(V)
| ~ ssItem(U)
| ~ ssItem(W)
| memberP(V,W)
| ( W = U ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U] :
( ~ memberP(nil,U)
| ~ ssItem(U) ),
file(unknown,unknown) ).
tff(f_756,axiom,
! [U,V] :
( ~ segmentP(U,V)
| ~ segmentP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_647,axiom,
! [U,V] :
( ( app(U,V) != nil )
| ~ ssList(V)
| ~ ssList(U)
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_132,axiom,
! [U] : ssItem(skaf44(U)),
file(unknown,unknown) ).
tff(f_464,axiom,
! [U] :
( ~ singletonP(U)
| ~ ssList(U)
| ( cons(skaf44(U),nil) = U ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
! [U] :
( ~ ssItem(U)
| equalelemsP(cons(U,nil)) ),
file(unknown,unknown) ).
tff(f_207,axiom,
! [U] :
( ~ ssItem(U)
| strictorderedP(cons(U,nil)) ),
file(unknown,unknown) ).
tff(f_715,axiom,
! [U,V] :
( ~ strictorderedP(cons(U,V))
| ~ ssList(V)
| ~ ssItem(U)
| strictorderedP(V)
| ( nil = V ) ),
file(unknown,unknown) ).
tff(f_624,axiom,
! [U,V] :
( ( cons(U,nil) != V )
| ~ ssItem(U)
| ~ ssList(V)
| singletonP(V) ),
file(unknown,unknown) ).
tff(f_1657,axiom,
( memberP(sk6,sk5)
| memberP(sk7,sk5) ),
file(unknown,unknown) ).
tff(f_702,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ( nil = V )
| ( hd(app(V,U)) = hd(V) ) ),
file(unknown,unknown) ).
tff(f_492,axiom,
! [U] :
( ~ ssList(U)
| ( cons(hd(U),tl(U)) = U )
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_1669,axiom,
( memberP(sk4,sk8)
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_940,axiom,
! [U,V,W] :
( ~ memberP(U,V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssItem(V)
| memberP(app(W,U),V) ),
file(unknown,unknown) ).
tff(f_1688,axiom,
( memberP(sk4,sk8)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(f_294,axiom,
! [U] :
( ~ segmentP(nil,U)
| ~ ssList(U)
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_1663,axiom,
( ssItem(sk8)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(c_384,plain,
ssItem(sk5),
inference(cnfTransformation,[status(thm)],[f_1651]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_235407,plain,
! [V_9704,U_9705] :
( ~ ssList(V_9704)
| ~ ssItem(U_9705)
| ( cons(U_9705,V_9704) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_235918,plain,
! [U_9751] :
( ~ ssItem(U_9751)
| ( cons(U_9751,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_235407]) ).
tff(c_235994,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_384,c_235918]) ).
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_386,plain,
ssList(sk6),
inference(cnfTransformation,[status(thm)],[f_1652]) ).
tff(c_234479,plain,
! [U_9634] :
( ( app(U_9634,nil) = U_9634 )
| ~ ssList(U_9634) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_234597,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_234479]) ).
tff(c_237733,plain,
! [U_9923,V_9924] :
( frontsegP(app(U_9923,V_9924),U_9923)
| ~ ssList(app(U_9923,V_9924))
| ~ ssList(U_9923)
| ~ ssList(V_9924) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_237888,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_234597,c_237733]) ).
tff(c_237989,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_234597,c_237888]) ).
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_388,plain,
ssList(sk7),
inference(cnfTransformation,[status(thm)],[f_1653]) ).
tff(c_234599,plain,
app(sk7,nil) = sk7,
inference(resolution,[status(thm)],[c_388,c_234479]) ).
tff(c_238006,plain,
! [U_9925,V_9926] :
( rearsegP(app(U_9925,V_9926),V_9926)
| ~ ssList(app(U_9925,V_9926))
| ~ ssList(V_9926)
| ~ ssList(U_9925) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_238158,plain,
( rearsegP(sk7,nil)
| ~ ssList(app(sk7,nil))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_234599,c_238006]) ).
tff(c_238260,plain,
rearsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_234599,c_238158]) ).
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_238554,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ rearsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_238260,c_256]) ).
tff(c_238557,plain,
( ( sk7 = nil )
| ~ rearsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_238554]) ).
tff(c_241515,plain,
~ rearsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_238557]) ).
tff(c_200756,plain,
! [V_7586,U_7587] :
( ~ ssList(V_7586)
| ~ ssItem(U_7587)
| ( cons(U_7587,V_7586) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_201201,plain,
! [U_7656] :
( ~ ssItem(U_7656)
| ( cons(U_7656,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_200756]) ).
tff(c_201281,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_384,c_201201]) ).
tff(c_199761,plain,
! [U_7508] :
( ( app(U_7508,nil) = U_7508 )
| ~ ssList(U_7508) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_199882,plain,
app(sk7,nil) = sk7,
inference(resolution,[status(thm)],[c_388,c_199761]) ).
tff(c_202729,plain,
! [U_7784,V_7785] :
( rearsegP(app(U_7784,V_7785),V_7785)
| ~ ssList(app(U_7784,V_7785))
| ~ ssList(V_7785)
| ~ ssList(U_7784) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_202872,plain,
( rearsegP(sk7,nil)
| ~ ssList(app(sk7,nil))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_199882,c_202729]) ).
tff(c_202974,plain,
rearsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_199882,c_202872]) ).
tff(c_202987,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ rearsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_202974,c_256]) ).
tff(c_202990,plain,
( ( sk7 = nil )
| ~ rearsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_202987]) ).
tff(c_205931,plain,
~ rearsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_202990]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_394,plain,
( ( sk4 = nil )
| ssItem(sk8) ),
inference(cnfTransformation,[status(thm)],[f_1660]) ).
tff(c_417,plain,
( ( sk2 = nil )
| ssItem(sk8) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_394]) ).
tff(c_469,plain,
ssItem(sk8),
inference(splitLeft,[status(thm)],[c_417]) ).
tff(c_622,plain,
! [U_391] :
( ( app(U_391,nil) = U_391 )
| ~ ssList(U_391) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_746,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_622]) ).
tff(c_113221,plain,
! [U_4430,V_4431] :
( rearsegP(app(U_4430,V_4431),V_4431)
| ~ ssList(app(U_4430,V_4431))
| ~ ssList(V_4431)
| ~ ssList(U_4430) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_113358,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_746,c_113221]) ).
tff(c_113447,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_746,c_113358]) ).
tff(c_113576,plain,
! [U_4439,V_4440] :
( frontsegP(app(U_4439,V_4440),U_4439)
| ~ ssList(app(U_4439,V_4440))
| ~ ssList(U_4439)
| ~ ssList(V_4440) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_113716,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_746,c_113576]) ).
tff(c_113807,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_746,c_113716]) ).
tff(c_24,plain,
! [U_1] : ssItem(skaf83(U_1)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_26,plain,
! [U_2] : ssList(skaf82(U_2)),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_111906,plain,
! [U_4332] :
( ( nil = U_4332 )
| ( cons(skaf83(U_4332),skaf82(U_4332)) = U_4332 )
| ~ ssList(U_4332) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_192,plain,
! [U_93,V_94] :
( ( tl(cons(U_93,V_94)) = V_94 )
| ~ ssList(V_94)
| ~ ssItem(U_93) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_111918,plain,
! [U_4332] :
( ( tl(U_4332) = skaf82(U_4332) )
| ~ ssList(skaf82(U_4332))
| ~ ssItem(skaf83(U_4332))
| ( nil = U_4332 )
| ~ ssList(U_4332) ),
inference(superposition,[status(thm),theory(equality)],[c_111906,c_192]) ).
tff(c_170012,plain,
! [U_6573] :
( ( tl(U_6573) = skaf82(U_6573) )
| ( nil = U_6573 )
| ~ ssList(U_6573) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_111918]) ).
tff(c_170153,plain,
( ( tl(sk7) = skaf82(sk7) )
| ( sk7 = nil ) ),
inference(resolution,[status(thm)],[c_388,c_170012]) ).
tff(c_170453,plain,
sk7 = nil,
inference(splitLeft,[status(thm)],[c_170153]) ).
tff(c_759,plain,
! [U_400] :
( ( app(nil,U_400) = U_400 )
| ~ ssList(U_400) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_887,plain,
app(nil,sk7) = sk7,
inference(resolution,[status(thm)],[c_388,c_759]) ).
tff(c_113707,plain,
( frontsegP(sk7,nil)
| ~ ssList(app(nil,sk7))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_887,c_113576]) ).
tff(c_113801,plain,
frontsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_887,c_113707]) ).
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_113867,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ frontsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_113801,c_258]) ).
tff(c_113870,plain,
( ( sk7 = nil )
| ~ frontsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_113867]) ).
tff(c_164813,plain,
~ frontsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_113870]) ).
tff(c_170455,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_170453,c_164813]) ).
tff(c_170511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113807,c_170455]) ).
tff(c_170513,plain,
sk7 != nil,
inference(splitRight,[status(thm)],[c_170153]) ).
tff(c_382,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_398,plain,
( ( sk4 = nil )
| ( cons(sk8,nil) = sk3 ) ),
inference(cnfTransformation,[status(thm)],[f_1666]) ).
tff(c_412,plain,
( ( sk4 = nil )
| ( cons(sk8,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_398]) ).
tff(c_415,plain,
( ( sk2 = nil )
| ( cons(sk8,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_412]) ).
tff(c_110348,plain,
cons(sk8,nil) = sk1,
inference(splitLeft,[status(thm)],[c_415]) ).
tff(c_110692,plain,
! [V_4247,U_4248] :
( ~ ssList(V_4247)
| ~ ssItem(U_4248)
| ( cons(U_4248,V_4247) != V_4247 ) ),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_110961,plain,
! [U_4253] :
( ~ ssItem(U_4253)
| ( cons(U_4253,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_110692]) ).
tff(c_110967,plain,
cons(sk8,nil) != nil,
inference(resolution,[status(thm)],[c_469,c_110961]) ).
tff(c_111024,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_110348,c_110967]) ).
tff(c_111532,plain,
! [U_4284,V_4285] :
( ( tl(cons(U_4284,V_4285)) = V_4285 )
| ~ ssList(V_4285)
| ~ ssItem(U_4284) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_111547,plain,
( ( tl(sk1) = nil )
| ~ ssList(nil)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_110348,c_111532]) ).
tff(c_111553,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_16,c_111547]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_421,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_170111,plain,
( ( tl(sk1) = skaf82(sk1) )
| ( sk1 = nil ) ),
inference(resolution,[status(thm)],[c_421,c_170012]) ).
tff(c_170151,plain,
( ( skaf82(sk1) = nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_111553,c_170111]) ).
tff(c_170152,plain,
skaf82(sk1) = nil,
inference(negUnitSimplification,[status(thm)],[c_111024,c_170151]) ).
tff(c_885,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[c_421,c_759]) ).
tff(c_194,plain,
! [U_95,V_96] :
( ( hd(cons(U_95,V_96)) = U_95 )
| ~ ssList(V_96)
| ~ ssItem(U_95) ),
inference(cnfTransformation,[status(thm)],[f_428]) ).
tff(c_111915,plain,
! [U_4332] :
( ( skaf83(U_4332) = hd(U_4332) )
| ~ ssList(skaf82(U_4332))
| ~ ssItem(skaf83(U_4332))
| ( nil = U_4332 )
| ~ ssList(U_4332) ),
inference(superposition,[status(thm),theory(equality)],[c_111906,c_194]) ).
tff(c_121179,plain,
! [U_4876] :
( ( skaf83(U_4876) = hd(U_4876) )
| ( nil = U_4876 )
| ~ ssList(U_4876) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_111915]) ).
tff(c_121323,plain,
( ( skaf83(sk6) = hd(sk6) )
| ( sk6 = nil ) ),
inference(resolution,[status(thm)],[c_386,c_121179]) ).
tff(c_121423,plain,
sk6 = nil,
inference(splitLeft,[status(thm)],[c_121323]) ).
tff(c_886,plain,
app(nil,sk6) = sk6,
inference(resolution,[status(thm)],[c_386,c_759]) ).
tff(c_113704,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_886,c_113576]) ).
tff(c_113799,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_386,c_886,c_113704]) ).
tff(c_113833,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_113799,c_258]) ).
tff(c_113836,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_113833]) ).
tff(c_116237,plain,
~ frontsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_113836]) ).
tff(c_121425,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_121423,c_116237]) ).
tff(c_121482,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113807,c_121425]) ).
tff(c_121484,plain,
sk6 != nil,
inference(splitRight,[status(thm)],[c_121323]) ).
tff(c_112768,plain,
! [U_4410,V_4411] :
( ( app(cons(U_4410,nil),V_4411) = cons(U_4410,V_4411) )
| ~ ssList(V_4411)
| ~ ssItem(U_4410) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_112783,plain,
! [V_4411] :
( ( cons(sk8,V_4411) = app(sk1,V_4411) )
| ~ ssList(V_4411)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_110348,c_112768]) ).
tff(c_125720,plain,
! [V_5174] :
( ( cons(sk8,V_5174) = app(sk1,V_5174) )
| ~ ssList(V_5174) ),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_112783]) ).
tff(c_125852,plain,
! [U_2] : ( cons(sk8,skaf82(U_2)) = app(sk1,skaf82(U_2)) ),
inference(resolution,[status(thm)],[c_26,c_125720]) ).
tff(c_121483,plain,
skaf83(sk6) = hd(sk6),
inference(splitRight,[status(thm)],[c_121323]) ).
tff(c_121508,plain,
ssItem(hd(sk6)),
inference(superposition,[status(thm),theory(equality)],[c_121483,c_24]) ).
tff(c_218,plain,
! [U_117] :
( ( nil = U_117 )
| ( cons(skaf83(U_117),skaf82(U_117)) = U_117 )
| ~ ssList(U_117) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_121500,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_121483,c_218]) ).
tff(c_121512,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_121500]) ).
tff(c_121513,plain,
cons(hd(sk6),skaf82(sk6)) = sk6,
inference(negUnitSimplification,[status(thm)],[c_121484,c_121512]) ).
tff(c_117422,plain,
! [W_4618,U_4619,V_4620,X_4621] :
( ( W_4618 = U_4619 )
| ~ ssItem(U_4619)
| ~ ssItem(W_4618)
| ~ ssList(V_4620)
| ~ ssList(X_4621)
| ~ frontsegP(cons(U_4619,V_4620),cons(W_4618,X_4621)) ),
inference(cnfTransformation,[status(thm)],[f_1422]) ).
tff(c_117455,plain,
! [U_4619,V_4620] :
( ( sk8 = U_4619 )
| ~ ssItem(U_4619)
| ~ ssItem(sk8)
| ~ ssList(V_4620)
| ~ ssList(nil)
| ~ frontsegP(cons(U_4619,V_4620),sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_110348,c_117422]) ).
tff(c_150023,plain,
! [U_5898,V_5899] :
( ( sk8 = U_5898 )
| ~ ssItem(U_5898)
| ~ ssList(V_5899)
| ~ frontsegP(cons(U_5898,V_5899),sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_117455]) ).
tff(c_150107,plain,
( ( hd(sk6) = sk8 )
| ~ ssItem(hd(sk6))
| ~ ssList(skaf82(sk6))
| ~ frontsegP(sk6,sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_121513,c_150023]) ).
tff(c_150208,plain,
( ( hd(sk6) = sk8 )
| ~ frontsegP(sk6,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_121508,c_150107]) ).
tff(c_151148,plain,
~ frontsegP(sk6,sk1),
inference(splitLeft,[status(thm)],[c_150208]) ).
tff(c_879,plain,
! [U_2] : ( app(nil,skaf82(U_2)) = skaf82(U_2) ),
inference(resolution,[status(thm)],[c_26,c_759]) ).
tff(c_113677,plain,
! [U_2] :
( frontsegP(skaf82(U_2),nil)
| ~ ssList(app(nil,skaf82(U_2)))
| ~ ssList(nil)
| ~ ssList(skaf82(U_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_879,c_113576]) ).
tff(c_113781,plain,
! [U_2] : frontsegP(skaf82(U_2),nil),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_16,c_26,c_879,c_113677]) ).
tff(c_117452,plain,
! [W_4618,X_4621] :
( ( sk8 = W_4618 )
| ~ ssItem(sk8)
| ~ ssItem(W_4618)
| ~ ssList(nil)
| ~ ssList(X_4621)
| ~ frontsegP(sk1,cons(W_4618,X_4621)) ),
inference(superposition,[status(thm),theory(equality)],[c_110348,c_117422]) ).
tff(c_150355,plain,
! [W_5908,X_5909] :
( ( sk8 = W_5908 )
| ~ ssItem(W_5908)
| ~ ssList(X_5909)
| ~ frontsegP(sk1,cons(W_5908,X_5909)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_117452]) ).
tff(c_150442,plain,
( ( hd(sk6) = sk8 )
| ~ ssItem(hd(sk6))
| ~ ssList(skaf82(sk6))
| ~ frontsegP(sk1,sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_121513,c_150355]) ).
tff(c_150543,plain,
( ( hd(sk6) = sk8 )
| ~ frontsegP(sk1,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_121508,c_150442]) ).
tff(c_151155,plain,
~ frontsegP(sk1,sk6),
inference(splitLeft,[status(thm)],[c_150543]) ).
tff(c_240,plain,
! [U_138,V_139] :
( ( app(cons(U_138,nil),V_139) = cons(U_138,V_139) )
| ~ ssList(V_139)
| ~ ssItem(U_138) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_390,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(cnfTransformation,[status(thm)],[f_1654]) ).
tff(c_119521,plain,
! [U_4682,V_4683,W_4684] :
( segmentP(app(app(U_4682,V_4683),W_4684),V_4683)
| ~ ssList(app(app(U_4682,V_4683),W_4684))
| ~ ssList(V_4683)
| ~ ssList(U_4682)
| ~ ssList(W_4684) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_119667,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_119521]) ).
tff(c_119822,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_421,c_390,c_119667]) ).
tff(c_127452,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_119822]) ).
tff(c_127455,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_127452]) ).
tff(c_127459,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_127455]) ).
tff(c_127461,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_119822]) ).
tff(c_116954,plain,
! [W_4605,V_4606,U_4607] :
( ( app(app(W_4605,V_4606),U_4607) = app(W_4605,app(V_4606,U_4607)) )
| ~ ssList(W_4605)
| ~ ssList(V_4606)
| ~ ssList(U_4607) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_117082,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_116954]) ).
tff(c_117213,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_117082]) ).
tff(c_160170,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_127461,c_117213]) ).
tff(c_160226,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_160170]) ).
tff(c_160264,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_160226]) ).
tff(c_288,plain,
! [U_192,V_193] :
( frontsegP(app(U_192,V_193),U_192)
| ~ ssList(app(U_192,V_193))
| ~ ssList(U_192)
| ~ ssList(V_193) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_160328,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_160264,c_288]) ).
tff(c_160379,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_421,c_160264,c_160328]) ).
tff(c_160380,plain,
~ ssList(cons(sk5,sk7)),
inference(negUnitSimplification,[status(thm)],[c_151155,c_160379]) ).
tff(c_160397,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_160380]) ).
tff(c_160401,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_160397]) ).
tff(c_160402,plain,
hd(sk6) = sk8,
inference(splitRight,[status(thm)],[c_150543]) ).
tff(c_160513,plain,
cons(sk8,skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_160402,c_121513]) ).
tff(c_116193,plain,
! [X_4573,U_4574,V_4575] :
( frontsegP(cons(X_4573,U_4574),cons(X_4573,V_4575))
| ~ ssItem(X_4573)
| ~ ssList(U_4574)
| ~ ssList(V_4575)
| ~ frontsegP(U_4574,V_4575) ),
inference(cnfTransformation,[status(thm)],[f_1460]) ).
tff(c_116221,plain,
! [U_4574] :
( frontsegP(cons(sk8,U_4574),sk1)
| ~ ssItem(sk8)
| ~ ssList(U_4574)
| ~ ssList(nil)
| ~ frontsegP(U_4574,nil) ),
inference(superposition,[status(thm),theory(equality)],[c_110348,c_116193]) ).
tff(c_116235,plain,
! [U_4574] :
( frontsegP(cons(sk8,U_4574),sk1)
| ~ ssList(U_4574)
| ~ frontsegP(U_4574,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_116221]) ).
tff(c_160666,plain,
( frontsegP(sk6,sk1)
| ~ ssList(skaf82(sk6))
| ~ frontsegP(skaf82(sk6),nil) ),
inference(superposition,[status(thm),theory(equality)],[c_160513,c_116235]) ).
tff(c_160778,plain,
frontsegP(sk6,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_113781,c_26,c_160666]) ).
tff(c_160780,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_151148,c_160778]) ).
tff(c_160781,plain,
hd(sk6) = sk8,
inference(splitRight,[status(thm)],[c_150208]) ).
tff(c_160832,plain,
skaf83(sk6) = sk8,
inference(demodulation,[status(thm),theory(equality)],[c_160781,c_121483]) ).
tff(c_161039,plain,
( ( sk6 = nil )
| ( cons(sk8,skaf82(sk6)) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_160832,c_218]) ).
tff(c_161060,plain,
( ( sk6 = nil )
| ( app(sk1,skaf82(sk6)) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_125852,c_161039]) ).
tff(c_161061,plain,
app(sk1,skaf82(sk6)) = sk6,
inference(negUnitSimplification,[status(thm)],[c_121484,c_161060]) ).
tff(c_280,plain,
! [U_182,W_184,V_183] :
( memberP(app(U_182,W_184),V_183)
| ~ ssItem(V_183)
| ~ ssList(U_182)
| ~ ssList(W_184)
| ~ memberP(U_182,V_183) ),
inference(cnfTransformation,[status(thm)],[f_926]) ).
tff(c_161329,plain,
! [V_183] :
( memberP(sk6,V_183)
| ~ ssItem(V_183)
| ~ ssList(sk1)
| ~ ssList(skaf82(sk6))
| ~ memberP(sk1,V_183) ),
inference(superposition,[status(thm),theory(equality)],[c_161061,c_280]) ).
tff(c_164090,plain,
! [V_6161] :
( memberP(sk6,V_6161)
| ~ ssItem(V_6161)
| ~ memberP(sk1,V_6161) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_421,c_161329]) ).
tff(c_952,plain,
cons(sk8,nil) = sk1,
inference(splitLeft,[status(thm)],[c_415]) ).
tff(c_65749,plain,
! [U_2592,V_2593] :
( ( app(cons(U_2592,nil),V_2593) = cons(U_2592,V_2593) )
| ~ ssList(V_2593)
| ~ ssItem(U_2592) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_65767,plain,
! [V_2593] :
( ( cons(sk8,V_2593) = app(sk1,V_2593) )
| ~ ssList(V_2593)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_65749]) ).
tff(c_78417,plain,
! [V_3367] :
( ( cons(sk8,V_3367) = app(sk1,V_3367) )
| ~ ssList(V_3367) ),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_65767]) ).
tff(c_78556,plain,
cons(sk8,sk1) = app(sk1,sk1),
inference(resolution,[status(thm)],[c_421,c_78417]) ).
tff(c_1443,plain,
! [V_465,U_466] :
( ~ ssList(V_465)
| ~ ssItem(U_466)
| ( cons(U_466,V_465) != V_465 ) ),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_2204,plain,
! [U_519] :
( ~ ssItem(U_519)
| ( cons(U_519,sk1) != sk1 ) ),
inference(resolution,[status(thm)],[c_421,c_1443]) ).
tff(c_2266,plain,
cons(sk8,sk1) != sk1,
inference(resolution,[status(thm)],[c_469,c_2204]) ).
tff(c_79635,plain,
app(sk1,sk1) != sk1,
inference(demodulation,[status(thm),theory(equality)],[c_78556,c_2266]) ).
tff(c_79723,plain,
( ssList(app(sk1,sk1))
| ~ ssList(sk1)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_78556,c_172]) ).
tff(c_79785,plain,
ssList(app(sk1,sk1)),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_421,c_79723]) ).
tff(c_66092,plain,
! [U_2625,V_2626] :
( frontsegP(app(U_2625,V_2626),U_2625)
| ~ ssList(app(U_2625,V_2626))
| ~ ssList(U_2625)
| ~ ssList(V_2626) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_66238,plain,
( frontsegP(sk1,nil)
| ~ ssList(app(nil,sk1))
| ~ ssList(nil)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_885,c_66092]) ).
tff(c_66339,plain,
frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_421,c_16,c_421,c_885,c_66238]) ).
tff(c_71670,plain,
! [U_2856,V_2857,W_2858] :
( segmentP(app(app(U_2856,V_2857),W_2858),V_2857)
| ~ ssList(app(app(U_2856,V_2857),W_2858))
| ~ ssList(V_2857)
| ~ ssList(U_2856)
| ~ ssList(W_2858) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_71795,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_71670]) ).
tff(c_71943,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_421,c_390,c_71795]) ).
tff(c_80889,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_71943]) ).
tff(c_80892,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_80889]) ).
tff(c_80896,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_80892]) ).
tff(c_80898,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_71943]) ).
tff(c_68973,plain,
! [W_2748,V_2749,U_2750] :
( ( app(app(W_2748,V_2749),U_2750) = app(W_2748,app(V_2749,U_2750)) )
| ~ ssList(W_2748)
| ~ ssList(V_2749)
| ~ ssList(U_2750) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_69104,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_68973]) ).
tff(c_69242,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_69104]) ).
tff(c_103103,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_80898,c_69242]) ).
tff(c_103153,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_103103]) ).
tff(c_103186,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_103153]) ).
tff(c_350,plain,
! [U_273,V_274,W_275] :
( memberP(app(U_273,cons(V_274,W_275)),V_274)
| ~ ssList(app(U_273,cons(V_274,W_275)))
| ~ ssItem(V_274)
| ~ ssList(U_273)
| ~ ssList(W_275) ),
inference(cnfTransformation,[status(thm)],[f_1405]) ).
tff(c_103217,plain,
( memberP(sk1,sk5)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_103186,c_350]) ).
tff(c_103273,plain,
memberP(sk1,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_384,c_421,c_103186,c_103217]) ).
tff(c_69763,plain,
! [W_2783,U_2784,V_2785] :
( ( W_2783 = U_2784 )
| memberP(V_2785,W_2783)
| ~ ssItem(W_2783)
| ~ ssItem(U_2784)
| ~ ssList(V_2785)
| ~ memberP(cons(U_2784,V_2785),W_2783) ),
inference(cnfTransformation,[status(thm)],[f_1239]) ).
tff(c_69781,plain,
! [W_2783] :
( ( sk8 = W_2783 )
| memberP(nil,W_2783)
| ~ ssItem(W_2783)
| ~ ssItem(sk8)
| ~ ssList(nil)
| ~ memberP(sk1,W_2783) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_69763]) ).
tff(c_69790,plain,
! [W_2783] :
( ( sk8 = W_2783 )
| memberP(nil,W_2783)
| ~ ssItem(W_2783)
| ~ memberP(sk1,W_2783) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_69781]) ).
tff(c_103302,plain,
( ( sk8 = sk5 )
| memberP(nil,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_103273,c_69790]) ).
tff(c_103305,plain,
( ( sk8 = sk5 )
| memberP(nil,sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_103302]) ).
tff(c_103306,plain,
memberP(nil,sk5),
inference(splitLeft,[status(thm)],[c_103305]) ).
tff(c_142,plain,
! [U_65] :
( ~ ssItem(U_65)
| ~ memberP(nil,U_65) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_103310,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[c_103306,c_142]) ).
tff(c_103314,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_103310]) ).
tff(c_103315,plain,
sk8 = sk5,
inference(splitRight,[status(thm)],[c_103305]) ).
tff(c_103411,plain,
cons(sk5,nil) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_103315,c_952]) ).
tff(c_80897,plain,
segmentP(sk1,cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_71943]) ).
tff(c_103642,plain,
segmentP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_103411,c_80897]) ).
tff(c_254,plain,
! [V_153,U_152] :
( ( V_153 = U_152 )
| ~ ssList(V_153)
| ~ ssList(U_152)
| ~ segmentP(V_153,U_152)
| ~ segmentP(U_152,V_153) ),
inference(cnfTransformation,[status(thm)],[f_756]) ).
tff(c_81014,plain,
( ( cons(sk5,nil) = sk1 )
| ~ ssList(sk1)
| ~ ssList(cons(sk5,nil))
| ~ segmentP(cons(sk5,nil),sk1) ),
inference(resolution,[status(thm)],[c_80897,c_254]) ).
tff(c_81020,plain,
( ( cons(sk5,nil) = sk1 )
| ~ segmentP(cons(sk5,nil),sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_80898,c_421,c_81014]) ).
tff(c_99057,plain,
~ segmentP(cons(sk5,nil),sk1),
inference(splitLeft,[status(thm)],[c_81020]) ).
tff(c_103599,plain,
~ segmentP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_103411,c_99057]) ).
tff(c_103884,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_103642,c_103599]) ).
tff(c_103885,plain,
cons(sk5,nil) = sk1,
inference(splitRight,[status(thm)],[c_81020]) ).
tff(c_4368,plain,
! [U_654,V_655] :
( frontsegP(app(U_654,V_655),U_654)
| ~ ssList(app(U_654,V_655))
| ~ ssList(U_654)
| ~ ssList(V_655) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_4517,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_746,c_4368]) ).
tff(c_4623,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_746,c_4517]) ).
tff(c_4079,plain,
! [U_652,V_653] :
( rearsegP(app(U_652,V_653),V_653)
| ~ ssList(app(U_652,V_653))
| ~ ssList(V_653)
| ~ ssList(U_652) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_4228,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_746,c_4079]) ).
tff(c_4334,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_746,c_4228]) ).
tff(c_2304,plain,
! [U_528,V_529] :
( ( tl(cons(U_528,V_529)) = V_529 )
| ~ ssList(V_529)
| ~ ssItem(U_528) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_2319,plain,
( ( tl(sk1) = nil )
| ~ ssList(nil)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_2304]) ).
tff(c_2325,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_16,c_2319]) ).
tff(c_2929,plain,
! [U_560] :
( ~ ssItem(U_560)
| ( cons(U_560,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1443]) ).
tff(c_2935,plain,
cons(sk8,nil) != nil,
inference(resolution,[status(thm)],[c_469,c_2929]) ).
tff(c_2992,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_952,c_2935]) ).
tff(c_2108,plain,
! [U_505,V_506] :
( ( hd(cons(U_505,V_506)) = U_505 )
| ~ ssList(V_506)
| ~ ssItem(U_505) ),
inference(cnfTransformation,[status(thm)],[f_428]) ).
tff(c_2120,plain,
( ( hd(sk1) = sk8 )
| ~ ssList(nil)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_2108]) ).
tff(c_2124,plain,
hd(sk1) = sk8,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_16,c_2120]) ).
tff(c_3065,plain,
! [U_567] :
( ( nil = U_567 )
| ( cons(skaf83(U_567),skaf82(U_567)) = U_567 )
| ~ ssList(U_567) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_3074,plain,
! [U_567] :
( ( skaf83(U_567) = hd(U_567) )
| ~ ssList(skaf82(U_567))
| ~ ssItem(skaf83(U_567))
| ( nil = U_567 )
| ~ ssList(U_567) ),
inference(superposition,[status(thm),theory(equality)],[c_3065,c_194]) ).
tff(c_12971,plain,
! [U_1231] :
( ( skaf83(U_1231) = hd(U_1231) )
| ( nil = U_1231 )
| ~ ssList(U_1231) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_3074]) ).
tff(c_13070,plain,
( ( skaf83(sk1) = hd(sk1) )
| ( sk1 = nil ) ),
inference(resolution,[status(thm)],[c_421,c_12971]) ).
tff(c_13111,plain,
( ( skaf83(sk1) = sk8 )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2124,c_13070]) ).
tff(c_13112,plain,
skaf83(sk1) = sk8,
inference(negUnitSimplification,[status(thm)],[c_2992,c_13111]) ).
tff(c_13132,plain,
( ( sk1 = nil )
| ( cons(sk8,skaf82(sk1)) = sk1 )
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_13112,c_218]) ).
tff(c_13145,plain,
( ( sk1 = nil )
| ( cons(sk8,skaf82(sk1)) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_421,c_13132]) ).
tff(c_13146,plain,
cons(sk8,skaf82(sk1)) = sk1,
inference(negUnitSimplification,[status(thm)],[c_2992,c_13145]) ).
tff(c_13707,plain,
( ( tl(sk1) = skaf82(sk1) )
| ~ ssList(skaf82(sk1))
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_13146,c_192]) ).
tff(c_13772,plain,
skaf82(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_26,c_2325,c_13707]) ).
tff(c_749,plain,
app(sk6,nil) = sk6,
inference(resolution,[status(thm)],[c_386,c_622]) ).
tff(c_2365,plain,
! [U_546,V_547] :
( ( nil = U_546 )
| ~ ssList(U_546)
| ~ ssList(V_547)
| ( app(U_546,V_547) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_2470,plain,
! [V_547] :
( ( sk6 = nil )
| ~ ssList(V_547)
| ( app(sk6,V_547) != nil ) ),
inference(resolution,[status(thm)],[c_386,c_2365]) ).
tff(c_11577,plain,
! [V_1066] :
( ~ ssList(V_1066)
| ( app(sk6,V_1066) != nil ) ),
inference(splitLeft,[status(thm)],[c_2470]) ).
tff(c_11670,plain,
app(sk6,nil) != nil,
inference(resolution,[status(thm)],[c_16,c_11577]) ).
tff(c_11714,plain,
sk6 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_749,c_11670]) ).
tff(c_13073,plain,
( ( skaf83(sk6) = hd(sk6) )
| ( sk6 = nil ) ),
inference(resolution,[status(thm)],[c_386,c_12971]) ).
tff(c_13115,plain,
skaf83(sk6) = hd(sk6),
inference(negUnitSimplification,[status(thm)],[c_11714,c_13073]) ).
tff(c_13172,plain,
ssItem(hd(sk6)),
inference(superposition,[status(thm),theory(equality)],[c_13115,c_24]) ).
tff(c_13164,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_13115,c_218]) ).
tff(c_13176,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_13164]) ).
tff(c_13177,plain,
cons(hd(sk6),skaf82(sk6)) = sk6,
inference(negUnitSimplification,[status(thm)],[c_11714,c_13176]) ).
tff(c_8817,plain,
! [W_839,U_840,V_841,X_842] :
( ( W_839 = U_840 )
| ~ ssItem(U_840)
| ~ ssItem(W_839)
| ~ ssList(V_841)
| ~ ssList(X_842)
| ~ frontsegP(cons(U_840,V_841),cons(W_839,X_842)) ),
inference(cnfTransformation,[status(thm)],[f_1422]) ).
tff(c_8847,plain,
! [W_839,X_842] :
( ( sk8 = W_839 )
| ~ ssItem(sk8)
| ~ ssItem(W_839)
| ~ ssList(nil)
| ~ ssList(X_842)
| ~ frontsegP(sk1,cons(W_839,X_842)) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_8817]) ).
tff(c_56237,plain,
! [W_2435,X_2436] :
( ( sk8 = W_2435 )
| ~ ssItem(W_2435)
| ~ ssList(X_2436)
| ~ frontsegP(sk1,cons(W_2435,X_2436)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_8847]) ).
tff(c_56327,plain,
( ( hd(sk6) = sk8 )
| ~ ssItem(hd(sk6))
| ~ ssList(skaf82(sk6))
| ~ frontsegP(sk1,sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_13177,c_56237]) ).
tff(c_56427,plain,
( ( hd(sk6) = sk8 )
| ~ frontsegP(sk1,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_13172,c_56327]) ).
tff(c_56484,plain,
~ frontsegP(sk1,sk6),
inference(splitLeft,[status(thm)],[c_56427]) ).
tff(c_9783,plain,
! [U_889,V_890,W_891] :
( segmentP(app(app(U_889,V_890),W_891),V_890)
| ~ ssList(app(app(U_889,V_890),W_891))
| ~ ssList(V_890)
| ~ ssList(U_889)
| ~ ssList(W_891) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_9917,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_9783]) ).
tff(c_10069,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_421,c_390,c_9917]) ).
tff(c_17915,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_10069]) ).
tff(c_17918,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_17915]) ).
tff(c_17922,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_17918]) ).
tff(c_17924,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_10069]) ).
tff(c_8039,plain,
! [W_830,V_831,U_832] :
( ( app(app(W_830,V_831),U_832) = app(W_830,app(V_831,U_832)) )
| ~ ssList(W_830)
| ~ ssList(V_831)
| ~ ssList(U_832) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_8182,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_8039]) ).
tff(c_8326,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_8182]) ).
tff(c_63505,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_17924,c_8326]) ).
tff(c_63561,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_63505]) ).
tff(c_63599,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_63561]) ).
tff(c_63663,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_63599,c_288]) ).
tff(c_63714,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_421,c_63599,c_63663]) ).
tff(c_63715,plain,
~ ssList(cons(sk5,sk7)),
inference(negUnitSimplification,[status(thm)],[c_56484,c_63714]) ).
tff(c_63732,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_63715]) ).
tff(c_63736,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_63732]) ).
tff(c_63738,plain,
frontsegP(sk1,sk6),
inference(splitRight,[status(thm)],[c_56427]) ).
tff(c_4454,plain,
! [U_2] :
( frontsegP(skaf82(U_2),nil)
| ~ ssList(app(nil,skaf82(U_2)))
| ~ ssList(nil)
| ~ ssList(skaf82(U_2)) ),
inference(superposition,[status(thm),theory(equality)],[c_879,c_4368]) ).
tff(c_4581,plain,
! [U_2] : frontsegP(skaf82(U_2),nil),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_16,c_26,c_879,c_4454]) ).
tff(c_63737,plain,
hd(sk6) = sk8,
inference(splitRight,[status(thm)],[c_56427]) ).
tff(c_63794,plain,
cons(sk8,skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_63737,c_13177]) ).
tff(c_7053,plain,
! [X_777,U_778,V_779] :
( frontsegP(cons(X_777,U_778),cons(X_777,V_779))
| ~ ssItem(X_777)
| ~ ssList(U_778)
| ~ ssList(V_779)
| ~ frontsegP(U_778,V_779) ),
inference(cnfTransformation,[status(thm)],[f_1460]) ).
tff(c_7081,plain,
! [U_778] :
( frontsegP(cons(sk8,U_778),sk1)
| ~ ssItem(sk8)
| ~ ssList(U_778)
| ~ ssList(nil)
| ~ frontsegP(U_778,nil) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_7053]) ).
tff(c_7095,plain,
! [U_778] :
( frontsegP(cons(sk8,U_778),sk1)
| ~ ssList(U_778)
| ~ frontsegP(U_778,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_7081]) ).
tff(c_63939,plain,
( frontsegP(sk6,sk1)
| ~ ssList(skaf82(sk6))
| ~ frontsegP(skaf82(sk6),nil) ),
inference(superposition,[status(thm),theory(equality)],[c_63794,c_7095]) ).
tff(c_64048,plain,
frontsegP(sk6,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_4581,c_26,c_63939]) ).
tff(c_64318,plain,
( ( sk6 = sk1 )
| ~ ssList(sk6)
| ~ ssList(sk1)
| ~ frontsegP(sk1,sk6) ),
inference(resolution,[status(thm)],[c_64048,c_258]) ).
tff(c_64327,plain,
sk6 = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_63738,c_421,c_386,c_64318]) ).
tff(c_94,plain,
! [U_36] : ssItem(skaf44(U_36)),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_2142,plain,
! [U_515] :
( ( cons(skaf44(U_515),nil) = U_515 )
| ~ ssList(U_515)
| ~ singletonP(U_515) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_128,plain,
! [U_58] :
( equalelemsP(cons(U_58,nil))
| ~ ssItem(U_58) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_2169,plain,
! [U_515] :
( equalelemsP(U_515)
| ~ ssItem(skaf44(U_515))
| ~ ssList(U_515)
| ~ singletonP(U_515) ),
inference(superposition,[status(thm),theory(equality)],[c_2142,c_128]) ).
tff(c_2472,plain,
! [U_548] :
( equalelemsP(U_548)
| ~ ssList(U_548)
| ~ singletonP(U_548) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_2169]) ).
tff(c_2613,plain,
( equalelemsP(sk6)
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_386,c_2472]) ).
tff(c_2722,plain,
~ singletonP(sk6),
inference(splitLeft,[status(thm)],[c_2613]) ).
tff(c_132,plain,
! [U_60] :
( strictorderedP(cons(U_60,nil))
| ~ ssItem(U_60) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_974,plain,
( strictorderedP(sk1)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_132]) ).
tff(c_990,plain,
strictorderedP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_974]) ).
tff(c_39533,plain,
! [W_2071,X_2072] :
( ( sk8 = W_2071 )
| ~ ssItem(W_2071)
| ~ ssList(X_2072)
| ~ frontsegP(sk1,cons(W_2071,X_2072)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_8847]) ).
tff(c_39623,plain,
( ( hd(sk6) = sk8 )
| ~ ssItem(hd(sk6))
| ~ ssList(skaf82(sk6))
| ~ frontsegP(sk1,sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_13177,c_39533]) ).
tff(c_39723,plain,
( ( hd(sk6) = sk8 )
| ~ frontsegP(sk1,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_13172,c_39623]) ).
tff(c_39798,plain,
~ frontsegP(sk1,sk6),
inference(splitLeft,[status(thm)],[c_39723]) ).
tff(c_45244,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_17924,c_8326]) ).
tff(c_45297,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_45244]) ).
tff(c_45333,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_45297]) ).
tff(c_45394,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_45333,c_288]) ).
tff(c_45443,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_421,c_45333,c_45394]) ).
tff(c_45444,plain,
~ ssList(cons(sk5,sk7)),
inference(negUnitSimplification,[status(thm)],[c_39798,c_45443]) ).
tff(c_45461,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_45444]) ).
tff(c_45465,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_45461]) ).
tff(c_45467,plain,
frontsegP(sk1,sk6),
inference(splitRight,[status(thm)],[c_39723]) ).
tff(c_45466,plain,
hd(sk6) = sk8,
inference(splitRight,[status(thm)],[c_39723]) ).
tff(c_45485,plain,
cons(sk8,skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_45466,c_13177]) ).
tff(c_45600,plain,
( frontsegP(sk6,sk1)
| ~ ssList(skaf82(sk6))
| ~ frontsegP(skaf82(sk6),nil) ),
inference(superposition,[status(thm),theory(equality)],[c_45485,c_7095]) ).
tff(c_45709,plain,
frontsegP(sk6,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_4581,c_26,c_45600]) ).
tff(c_45977,plain,
( ( sk6 = sk1 )
| ~ ssList(sk6)
| ~ ssList(sk1)
| ~ frontsegP(sk1,sk6) ),
inference(resolution,[status(thm)],[c_45709,c_258]) ).
tff(c_45986,plain,
sk6 = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_45467,c_421,c_386,c_45977]) ).
tff(c_248,plain,
! [V_147,U_146] :
( ( nil = V_147 )
| strictorderedP(V_147)
| ~ ssItem(U_146)
| ~ ssList(V_147)
| ~ strictorderedP(cons(U_146,V_147)) ),
inference(cnfTransformation,[status(thm)],[f_715]) ).
tff(c_14823,plain,
( ( skaf82(sk6) = nil )
| strictorderedP(skaf82(sk6))
| ~ ssItem(hd(sk6))
| ~ ssList(skaf82(sk6))
| ~ strictorderedP(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_13177,c_248]) ).
tff(c_14890,plain,
( ( skaf82(sk6) = nil )
| strictorderedP(skaf82(sk6))
| ~ strictorderedP(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_13172,c_14823]) ).
tff(c_28829,plain,
~ strictorderedP(sk6),
inference(splitLeft,[status(thm)],[c_14890]) ).
tff(c_46015,plain,
~ strictorderedP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_45986,c_28829]) ).
tff(c_46186,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_990,c_46015]) ).
tff(c_46187,plain,
( strictorderedP(skaf82(sk6))
| ( skaf82(sk6) = nil ) ),
inference(splitRight,[status(thm)],[c_14890]) ).
tff(c_46196,plain,
skaf82(sk6) = nil,
inference(splitLeft,[status(thm)],[c_46187]) ).
tff(c_46198,plain,
cons(hd(sk6),nil) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_46196,c_13177]) ).
tff(c_3011,plain,
! [U_561] :
( singletonP(cons(U_561,nil))
| ~ ssList(cons(U_561,nil))
| ~ ssItem(U_561) ),
inference(cnfTransformation,[status(thm)],[f_624]) ).
tff(c_3018,plain,
! [U_82] :
( singletonP(cons(U_82,nil))
| ~ ssList(nil)
| ~ ssItem(U_82) ),
inference(resolution,[status(thm)],[c_172,c_3011]) ).
tff(c_3026,plain,
! [U_82] :
( singletonP(cons(U_82,nil))
| ~ ssItem(U_82) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_3018]) ).
tff(c_46461,plain,
( singletonP(sk6)
| ~ ssItem(hd(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_46198,c_3026]) ).
tff(c_46553,plain,
singletonP(sk6),
inference(demodulation,[status(thm),theory(equality)],[c_13172,c_46461]) ).
tff(c_46555,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2722,c_46553]) ).
tff(c_46557,plain,
skaf82(sk6) != nil,
inference(splitRight,[status(thm)],[c_46187]) ).
tff(c_64356,plain,
skaf82(sk1) != nil,
inference(demodulation,[status(thm),theory(equality)],[c_64327,c_46557]) ).
tff(c_64528,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_13772,c_64356]) ).
tff(c_64529,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_2470]) ).
tff(c_4216,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_749,c_4079]) ).
tff(c_4326,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_386,c_749,c_4216]) ).
tff(c_4348,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ rearsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_4326,c_256]) ).
tff(c_4351,plain,
( ( sk6 = nil )
| ~ rearsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_4348]) ).
tff(c_8379,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_4351]) ).
tff(c_64530,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_64529,c_8379]) ).
tff(c_64586,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4334,c_64530]) ).
tff(c_64587,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_4351]) ).
tff(c_4523,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_886,c_4368]) ).
tff(c_4627,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_386,c_886,c_4523]) ).
tff(c_4690,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_4627,c_258]) ).
tff(c_4693,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_4690]) ).
tff(c_8038,plain,
~ frontsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_4693]) ).
tff(c_64648,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_64587,c_8038]) ).
tff(c_64703,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4623,c_64648]) ).
tff(c_64704,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_4693]) ).
tff(c_392,plain,
( memberP(sk7,sk5)
| memberP(sk6,sk5) ),
inference(cnfTransformation,[status(thm)],[f_1657]) ).
tff(c_897,plain,
memberP(sk6,sk5),
inference(splitLeft,[status(thm)],[c_392]) ).
tff(c_64755,plain,
memberP(nil,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_64704,c_897]) ).
tff(c_64775,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[c_64755,c_142]) ).
tff(c_64779,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_64775]) ).
tff(c_64781,plain,
singletonP(sk6),
inference(splitRight,[status(thm)],[c_2613]) ).
tff(c_202,plain,
! [U_103] :
( ( cons(skaf44(U_103),nil) = U_103 )
| ~ ssList(U_103)
| ~ singletonP(U_103) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_65059,plain,
! [U_2540] :
( ~ ssItem(U_2540)
| ( cons(U_2540,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1443]) ).
tff(c_65205,plain,
! [U_2546] : ( cons(skaf44(U_2546),nil) != nil ),
inference(resolution,[status(thm)],[c_94,c_65059]) ).
tff(c_73272,plain,
! [U_2953] :
( ( nil != U_2953 )
| ~ ssList(U_2953)
| ~ singletonP(U_2953) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_65205]) ).
tff(c_73374,plain,
( ( sk6 != nil )
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_386,c_73272]) ).
tff(c_73415,plain,
sk6 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_64781,c_73374]) ).
tff(c_78558,plain,
cons(sk8,sk7) = app(sk1,sk7),
inference(resolution,[status(thm)],[c_388,c_78417]) ).
tff(c_79257,plain,
( ssList(app(sk1,sk7))
| ~ ssList(sk7)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_78558,c_172]) ).
tff(c_79319,plain,
ssList(app(sk1,sk7)),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_388,c_79257]) ).
tff(c_104048,plain,
( ( hd(sk1) = sk5 )
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_103885,c_194]) ).
tff(c_104137,plain,
sk8 = sk5,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_2124,c_104048]) ).
tff(c_104244,plain,
hd(sk1) = sk5,
inference(demodulation,[status(thm),theory(equality)],[c_104137,c_2124]) ).
tff(c_298,plain,
! [W_208,V_207,U_206] :
( ( app(app(W_208,V_207),U_206) = app(W_208,app(V_207,U_206)) )
| ~ ssList(W_208)
| ~ ssList(V_207)
| ~ ssList(U_206) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_103934,plain,
app(app(sk6,sk1),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_103885,c_390]) ).
tff(c_104404,plain,
( ( app(sk6,app(sk1,sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(sk1)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_298,c_103934]) ).
tff(c_104443,plain,
app(sk6,app(sk1,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_388,c_421,c_386,c_104404]) ).
tff(c_246,plain,
! [V_145,U_144] :
( ( hd(app(V_145,U_144)) = hd(V_145) )
| ( nil = V_145 )
| ~ ssList(V_145)
| ~ ssList(U_144) ),
inference(cnfTransformation,[status(thm)],[f_702]) ).
tff(c_105754,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(app(sk1,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_104443,c_246]) ).
tff(c_105787,plain,
( ( hd(sk6) = sk5 )
| ( sk6 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_79319,c_386,c_104244,c_105754]) ).
tff(c_105788,plain,
hd(sk6) = sk5,
inference(negUnitSimplification,[status(thm)],[c_73415,c_105787]) ).
tff(c_2316,plain,
! [U_103] :
( ( tl(U_103) = nil )
| ~ ssList(nil)
| ~ ssItem(skaf44(U_103))
| ~ ssList(U_103)
| ~ singletonP(U_103) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_2304]) ).
tff(c_73457,plain,
! [U_3003] :
( ( tl(U_3003) = nil )
| ~ ssList(U_3003)
| ~ singletonP(U_3003) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_2316]) ).
tff(c_73559,plain,
( ( tl(sk6) = nil )
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_386,c_73457]) ).
tff(c_73600,plain,
tl(sk6) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_64781,c_73559]) ).
tff(c_208,plain,
! [U_108] :
( ( nil = U_108 )
| ( cons(hd(U_108),tl(U_108)) = U_108 )
| ~ ssList(U_108) ),
inference(cnfTransformation,[status(thm)],[f_492]) ).
tff(c_73608,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),nil) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_73600,c_208]) ).
tff(c_73618,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),nil) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_73608]) ).
tff(c_73619,plain,
cons(hd(sk6),nil) = sk6,
inference(negUnitSimplification,[status(thm)],[c_73415,c_73618]) ).
tff(c_105863,plain,
cons(sk5,nil) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_105788,c_73619]) ).
tff(c_105866,plain,
sk6 = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_103885,c_105863]) ).
tff(c_78557,plain,
cons(sk8,sk6) = app(sk1,sk6),
inference(resolution,[status(thm)],[c_386,c_78417]) ).
tff(c_104236,plain,
cons(sk5,sk6) = app(sk1,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_104137,c_78557]) ).
tff(c_107474,plain,
cons(sk5,sk1) = app(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_105866,c_105866,c_104236]) ).
tff(c_69914,plain,
! [X_2796,U_2797,V_2798] :
( frontsegP(cons(X_2796,U_2797),cons(X_2796,V_2798))
| ~ ssItem(X_2796)
| ~ ssList(U_2797)
| ~ ssList(V_2798)
| ~ frontsegP(U_2797,V_2798) ),
inference(cnfTransformation,[status(thm)],[f_1460]) ).
tff(c_69942,plain,
! [U_2797] :
( frontsegP(cons(sk8,U_2797),sk1)
| ~ ssItem(sk8)
| ~ ssList(U_2797)
| ~ ssList(nil)
| ~ frontsegP(U_2797,nil) ),
inference(superposition,[status(thm),theory(equality)],[c_952,c_69914]) ).
tff(c_69956,plain,
! [U_2797] :
( frontsegP(cons(sk8,U_2797),sk1)
| ~ ssList(U_2797)
| ~ frontsegP(U_2797,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_69942]) ).
tff(c_104639,plain,
! [U_2797] :
( frontsegP(cons(sk5,U_2797),sk1)
| ~ ssList(U_2797)
| ~ frontsegP(U_2797,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_104137,c_69956]) ).
tff(c_107515,plain,
( frontsegP(app(sk1,sk1),sk1)
| ~ ssList(sk1)
| ~ frontsegP(sk1,nil) ),
inference(superposition,[status(thm),theory(equality)],[c_107474,c_104639]) ).
tff(c_107623,plain,
frontsegP(app(sk1,sk1),sk1),
inference(demodulation,[status(thm),theory(equality)],[c_66339,c_421,c_107515]) ).
tff(c_107697,plain,
( ( app(sk1,sk1) = sk1 )
| ~ ssList(app(sk1,sk1))
| ~ ssList(sk1)
| ~ frontsegP(sk1,app(sk1,sk1)) ),
inference(resolution,[status(thm)],[c_107623,c_258]) ).
tff(c_107706,plain,
( ( app(sk1,sk1) = sk1 )
| ~ frontsegP(sk1,app(sk1,sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_421,c_79785,c_107697]) ).
tff(c_107707,plain,
~ frontsegP(sk1,app(sk1,sk1)),
inference(negUnitSimplification,[status(thm)],[c_79635,c_107706]) ).
tff(c_105945,plain,
app(app(sk1,sk1),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_105866,c_103934]) ).
tff(c_110218,plain,
( frontsegP(sk1,app(sk1,sk1))
| ~ ssList(app(app(sk1,sk1),sk7))
| ~ ssList(app(sk1,sk1))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_105945,c_288]) ).
tff(c_110263,plain,
frontsegP(sk1,app(sk1,sk1)),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_79785,c_421,c_105945,c_110218]) ).
tff(c_110265,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_107707,c_110263]) ).
tff(c_110266,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_415]) ).
tff(c_400,plain,
( ( sk4 = nil )
| memberP(sk4,sk8) ),
inference(cnfTransformation,[status(thm)],[f_1669]) ).
tff(c_414,plain,
( ( sk2 = nil )
| memberP(sk2,sk8) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_400]) ).
tff(c_487,plain,
memberP(sk2,sk8),
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_110271,plain,
memberP(nil,sk8),
inference(demodulation,[status(thm),theory(equality)],[c_110266,c_487]) ).
tff(c_110288,plain,
~ ssItem(sk8),
inference(resolution,[status(thm)],[c_110271,c_142]) ).
tff(c_110292,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_110288]) ).
tff(c_110294,plain,
~ memberP(sk6,sk5),
inference(splitRight,[status(thm)],[c_392]) ).
tff(c_164093,plain,
( ~ ssItem(sk5)
| ~ memberP(sk1,sk5) ),
inference(resolution,[status(thm)],[c_164090,c_110294]) ).
tff(c_164096,plain,
~ memberP(sk1,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_164093]) ).
tff(c_164399,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_127461,c_117213]) ).
tff(c_164452,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_164399]) ).
tff(c_164488,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_388,c_164452]) ).
tff(c_164522,plain,
( memberP(sk1,sk5)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssItem(sk5)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_164488,c_350]) ).
tff(c_164580,plain,
memberP(sk1,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_386,c_384,c_421,c_164488,c_164522]) ).
tff(c_164582,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_164096,c_164580]) ).
tff(c_164583,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_113836]) ).
tff(c_113337,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_749,c_113221]) ).
tff(c_113433,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_386,c_749,c_113337]) ).
tff(c_113454,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ rearsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_113433,c_256]) ).
tff(c_113457,plain,
( ( sk6 = nil )
| ~ rearsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_113454]) ).
tff(c_116236,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_113457]) ).
tff(c_164585,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_164583,c_116236]) ).
tff(c_164640,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113447,c_164585]) ).
tff(c_164641,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_113457]) ).
tff(c_164692,plain,
~ memberP(nil,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_164641,c_110294]) ).
tff(c_110293,plain,
memberP(sk7,sk5),
inference(splitRight,[status(thm)],[c_392]) ).
tff(c_113283,plain,
( rearsegP(sk1,sk7)
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_390,c_113221]) ).
tff(c_113397,plain,
( rearsegP(sk1,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_421,c_390,c_113283]) ).
tff(c_176221,plain,
( rearsegP(sk1,sk7)
| ~ ssList(app(nil,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_164641,c_113397]) ).
tff(c_176222,plain,
~ ssList(app(nil,cons(sk5,nil))),
inference(splitLeft,[status(thm)],[c_176221]) ).
tff(c_176225,plain,
( ~ ssList(nil)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_170,c_176222]) ).
tff(c_176228,plain,
~ ssList(cons(sk5,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_176225]) ).
tff(c_176231,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_176228]) ).
tff(c_176235,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_176231]) ).
tff(c_176237,plain,
ssList(app(nil,cons(sk5,nil))),
inference(splitRight,[status(thm)],[c_176221]) ).
tff(c_164689,plain,
app(app(nil,cons(sk5,nil)),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_164641,c_390]) ).
tff(c_282,plain,
! [W_187,U_185,V_186] :
( memberP(app(W_187,U_185),V_186)
| ~ ssItem(V_186)
| ~ ssList(W_187)
| ~ ssList(U_185)
| ~ memberP(U_185,V_186) ),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_183199,plain,
! [V_186] :
( memberP(sk1,V_186)
| ~ ssItem(V_186)
| ~ ssList(app(nil,cons(sk5,nil)))
| ~ ssList(sk7)
| ~ memberP(sk7,V_186) ),
inference(superposition,[status(thm),theory(equality)],[c_164689,c_282]) ).
tff(c_184674,plain,
! [V_7110] :
( memberP(sk1,V_7110)
| ~ ssItem(V_7110)
| ~ memberP(sk7,V_7110) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_176237,c_183199]) ).
tff(c_184688,plain,
( memberP(sk1,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_110293,c_184674]) ).
tff(c_184701,plain,
memberP(sk1,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_184688]) ).
tff(c_116054,plain,
! [W_4563,U_4564,V_4565] :
( ( W_4563 = U_4564 )
| memberP(V_4565,W_4563)
| ~ ssItem(W_4563)
| ~ ssItem(U_4564)
| ~ ssList(V_4565)
| ~ memberP(cons(U_4564,V_4565),W_4563) ),
inference(cnfTransformation,[status(thm)],[f_1239]) ).
tff(c_116072,plain,
! [W_4563] :
( ( sk8 = W_4563 )
| memberP(nil,W_4563)
| ~ ssItem(W_4563)
| ~ ssItem(sk8)
| ~ ssList(nil)
| ~ memberP(sk1,W_4563) ),
inference(superposition,[status(thm),theory(equality)],[c_110348,c_116054]) ).
tff(c_198700,plain,
! [W_7495] :
( ( sk8 = W_7495 )
| memberP(nil,W_7495)
| ~ ssItem(W_7495)
| ~ memberP(sk1,W_7495) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_469,c_116072]) ).
tff(c_198706,plain,
( ( sk8 = sk5 )
| memberP(nil,sk5)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_184701,c_198700]) ).
tff(c_198723,plain,
( ( sk8 = sk5 )
| memberP(nil,sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_198706]) ).
tff(c_198724,plain,
sk8 = sk5,
inference(negUnitSimplification,[status(thm)],[c_164692,c_198723]) ).
tff(c_198830,plain,
cons(sk5,nil) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_198724,c_110348]) ).
tff(c_199060,plain,
app(app(nil,sk1),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_198830,c_164689]) ).
tff(c_199068,plain,
app(sk1,sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_885,c_199060]) ).
tff(c_173522,plain,
! [V_6739] :
( ( cons(sk8,V_6739) = app(sk1,V_6739) )
| ~ ssList(V_6739) ),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_112783]) ).
tff(c_173659,plain,
cons(sk8,sk7) = app(sk1,sk7),
inference(resolution,[status(thm)],[c_388,c_173522]) ).
tff(c_173900,plain,
( ( tl(app(sk1,sk7)) = sk7 )
| ~ ssList(sk7)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_173659,c_192]) ).
tff(c_173963,plain,
tl(app(sk1,sk7)) = sk7,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_388,c_173900]) ).
tff(c_112391,plain,
! [U_4370,V_4371] :
( ( nil = U_4370 )
| ~ ssList(U_4370)
| ~ ssList(V_4371)
| ( app(U_4370,V_4371) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_112457,plain,
! [V_4371] :
( ( sk1 = nil )
| ~ ssList(V_4371)
| ( app(sk1,V_4371) != nil ) ),
inference(resolution,[status(thm)],[c_421,c_112391]) ).
tff(c_168097,plain,
! [V_6285] :
( ~ ssList(V_6285)
| ( app(sk1,V_6285) != nil ) ),
inference(negUnitSimplification,[status(thm)],[c_111024,c_112457]) ).
tff(c_168234,plain,
app(sk1,sk7) != nil,
inference(resolution,[status(thm)],[c_388,c_168097]) ).
tff(c_173903,plain,
( ssList(app(sk1,sk7))
| ~ ssList(sk7)
| ~ ssItem(sk8) ),
inference(superposition,[status(thm),theory(equality)],[c_173659,c_172]) ).
tff(c_173965,plain,
ssList(app(sk1,sk7)),
inference(demodulation,[status(thm),theory(equality)],[c_469,c_388,c_173903]) ).
tff(c_111931,plain,
! [U_4332] :
( ( tl(U_4332) = skaf82(U_4332) )
| ( nil = U_4332 )
| ~ ssList(U_4332) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_111918]) ).
tff(c_174097,plain,
( ( tl(app(sk1,sk7)) = skaf82(app(sk1,sk7)) )
| ( app(sk1,sk7) = nil ) ),
inference(resolution,[status(thm)],[c_173965,c_111931]) ).
tff(c_174158,plain,
tl(app(sk1,sk7)) = skaf82(app(sk1,sk7)),
inference(negUnitSimplification,[status(thm)],[c_168234,c_174097]) ).
tff(c_184426,plain,
skaf82(app(sk1,sk7)) = sk7,
inference(demodulation,[status(thm),theory(equality)],[c_173963,c_174158]) ).
tff(c_199282,plain,
skaf82(sk1) = sk7,
inference(demodulation,[status(thm),theory(equality)],[c_199068,c_184426]) ).
tff(c_199309,plain,
sk7 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_170152,c_199282]) ).
tff(c_199311,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_170513,c_199309]) ).
tff(c_199312,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_113870]) ).
tff(c_750,plain,
app(sk7,nil) = sk7,
inference(resolution,[status(thm)],[c_388,c_622]) ).
tff(c_113334,plain,
( rearsegP(sk7,nil)
| ~ ssList(app(sk7,nil))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_750,c_113221]) ).
tff(c_113431,plain,
rearsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_750,c_113334]) ).
tff(c_113449,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ rearsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_113431,c_256]) ).
tff(c_113452,plain,
( ( sk7 = nil )
| ~ rearsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_113449]) ).
tff(c_116192,plain,
~ rearsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_113452]) ).
tff(c_199314,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_199312,c_116192]) ).
tff(c_199368,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_113447,c_199314]) ).
tff(c_199369,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_113452]) ).
tff(c_199420,plain,
memberP(nil,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_199369,c_110293]) ).
tff(c_199440,plain,
~ ssItem(sk5),
inference(resolution,[status(thm)],[c_199420,c_142]) ).
tff(c_199444,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_199440]) ).
tff(c_199445,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_415]) ).
tff(c_199450,plain,
memberP(nil,sk8),
inference(demodulation,[status(thm),theory(equality)],[c_199445,c_487]) ).
tff(c_199467,plain,
~ ssItem(sk8),
inference(resolution,[status(thm)],[c_199450,c_142]) ).
tff(c_199471,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_469,c_199467]) ).
tff(c_199472,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_199473,plain,
~ memberP(sk2,sk8),
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_199486,plain,
~ memberP(nil,sk8),
inference(demodulation,[status(thm),theory(equality)],[c_199472,c_199473]) ).
tff(c_406,plain,
( ( sk3 = nil )
| memberP(sk4,sk8) ),
inference(cnfTransformation,[status(thm)],[f_1688]) ).
tff(c_413,plain,
( ( sk1 = nil )
| memberP(sk4,sk8) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_406]) ).
tff(c_416,plain,
( ( sk1 = nil )
| memberP(sk2,sk8) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_413]) ).
tff(c_199487,plain,
( ( sk1 = nil )
| memberP(nil,sk8) ),
inference(demodulation,[status(thm),theory(equality)],[c_199472,c_416]) ).
tff(c_199488,plain,
sk1 = nil,
inference(negUnitSimplification,[status(thm)],[c_199486,c_199487]) ).
tff(c_200258,plain,
app(app(sk6,cons(sk5,nil)),sk7) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_199488,c_390]) ).
tff(c_202818,plain,
( rearsegP(nil,sk7)
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_200258,c_202729]) ).
tff(c_202938,plain,
( rearsegP(nil,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_200258,c_202818]) ).
tff(c_213547,plain,
~ ssList(app(sk6,cons(sk5,nil))),
inference(negUnitSimplification,[status(thm)],[c_205931,c_202938]) ).
tff(c_213550,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_170,c_213547]) ).
tff(c_213553,plain,
~ ssList(cons(sk5,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_213550]) ).
tff(c_213556,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_213553]) ).
tff(c_213560,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_213556]) ).
tff(c_213561,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_202990]) ).
tff(c_213642,plain,
app(app(sk6,cons(sk5,nil)),nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_213561,c_200258]) ).
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_219960,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(app(app(sk6,cons(sk5,nil)),nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_213642,c_346]) ).
tff(c_220013,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_16,c_213642,c_219960]) ).
tff(c_234001,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_220013]) ).
tff(c_234004,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_234001]) ).
tff(c_234008,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_234004]) ).
tff(c_234010,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_220013]) ).
tff(c_234009,plain,
segmentP(nil,cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_220013]) ).
tff(c_160,plain,
! [U_75] :
( ( nil = U_75 )
| ~ ssList(U_75)
| ~ segmentP(nil,U_75) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_234286,plain,
( ( cons(sk5,nil) = nil )
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_234009,c_160]) ).
tff(c_234296,plain,
cons(sk5,nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_234010,c_234286]) ).
tff(c_234298,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201281,c_234296]) ).
tff(c_234300,plain,
~ ssItem(sk8),
inference(splitRight,[status(thm)],[c_417]) ).
tff(c_396,plain,
( ( sk3 = nil )
| ssItem(sk8) ),
inference(cnfTransformation,[status(thm)],[f_1663]) ).
tff(c_409,plain,
( ( sk1 = nil )
| ssItem(sk8) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_396]) ).
tff(c_234317,plain,
sk1 = nil,
inference(negUnitSimplification,[status(thm)],[c_234300,c_409]) ).
tff(c_235011,plain,
app(app(sk6,cons(sk5,nil)),sk7) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_234317,c_390]) ).
tff(c_238086,plain,
( rearsegP(nil,sk7)
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(superposition,[status(thm),theory(equality)],[c_235011,c_238006]) ).
tff(c_238212,plain,
( rearsegP(nil,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_235011,c_238086]) ).
tff(c_247878,plain,
~ ssList(app(sk6,cons(sk5,nil))),
inference(negUnitSimplification,[status(thm)],[c_241515,c_238212]) ).
tff(c_247881,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_170,c_247878]) ).
tff(c_247884,plain,
~ ssList(cons(sk5,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_247881]) ).
tff(c_247893,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_247884]) ).
tff(c_247897,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_247893]) ).
tff(c_247898,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_238557]) ).
tff(c_234634,plain,
! [U_9662] :
( ( app(nil,U_9662) = U_9662 )
| ~ ssList(U_9662) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_234755,plain,
app(nil,sk7) = sk7,
inference(resolution,[status(thm)],[c_388,c_234634]) ).
tff(c_237876,plain,
( frontsegP(sk7,nil)
| ~ ssList(app(nil,sk7))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_234755,c_237733]) ).
tff(c_237981,plain,
frontsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_234755,c_237876]) ).
tff(c_237991,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ frontsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_237981,c_258]) ).
tff(c_237994,plain,
( ( sk7 = nil )
| ~ frontsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_237991]) ).
tff(c_241470,plain,
~ frontsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_237994]) ).
tff(c_247900,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_247898,c_241470]) ).
tff(c_247952,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_237989,c_247900]) ).
tff(c_247953,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_237994]) ).
tff(c_248020,plain,
app(app(sk6,cons(sk5,nil)),nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_247953,c_235011]) ).
tff(c_253577,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(app(app(sk6,cons(sk5,nil)),nil))
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk6)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_248020,c_346]) ).
tff(c_253630,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_386,c_16,c_248020,c_253577]) ).
tff(c_266809,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_253630]) ).
tff(c_266812,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_266809]) ).
tff(c_266816,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_16,c_266812]) ).
tff(c_266818,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_253630]) ).
tff(c_266817,plain,
segmentP(nil,cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_253630]) ).
tff(c_267068,plain,
( ( cons(sk5,nil) = nil )
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_266817,c_160]) ).
tff(c_267078,plain,
cons(sk5,nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_266818,c_267068]) ).
tff(c_267080,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_235994,c_267078]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC183-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.34 % Computer : n026.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 21:57:01 EDT 2023
% 0.13/0.35 % CPUTime :
% 147.65/127.12 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 147.72/127.17
% 147.72/127.17 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 148.05/127.25
% 148.05/127.25 Inference rules
% 148.05/127.25 ----------------------
% 148.05/127.25 #Ref : 0
% 148.05/127.25 #Sup : 59027
% 148.05/127.25 #Fact : 0
% 148.05/127.25 #Define : 0
% 148.05/127.25 #Split : 185
% 148.05/127.25 #Chain : 0
% 148.05/127.25 #Close : 0
% 148.05/127.25
% 148.05/127.25 Ordering : KBO
% 148.05/127.25
% 148.05/127.25 Simplification rules
% 148.05/127.25 ----------------------
% 148.05/127.25 #Subsume : 12818
% 148.05/127.25 #Demod : 74364
% 148.05/127.25 #Tautology : 19378
% 148.05/127.25 #SimpNegUnit : 4498
% 148.05/127.25 #BackRed : 2200
% 148.05/127.25
% 148.05/127.25 #Partial instantiations: 0
% 148.05/127.25 #Strategies tried : 1
% 148.05/127.25
% 148.05/127.25 Timing (in seconds)
% 148.05/127.25 ----------------------
% 148.05/127.25 Preprocessing : 0.95
% 148.05/127.25 Parsing : 0.49
% 148.05/127.25 CNF conversion : 0.07
% 148.05/127.25 Main loop : 125.11
% 148.05/127.25 Inferencing : 19.85
% 148.05/127.25 Reduction : 69.91
% 148.05/127.25 Demodulation : 52.46
% 148.05/127.25 BG Simplification : 0.36
% 148.05/127.25 Subsumption : 27.88
% 148.05/127.25 Abstraction : 0.91
% 148.05/127.25 MUC search : 0.00
% 148.05/127.25 Cooper : 0.00
% 148.05/127.26 Total : 126.21
% 148.05/127.26 Index Insertion : 0.00
% 148.05/127.26 Index Deletion : 0.00
% 148.05/127.26 Index Matching : 0.00
% 148.05/127.26 BG Taut test : 0.00
%------------------------------------------------------------------------------