TSTP Solution File: SWC285-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC285-1 : 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 : n012.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 11:01:56 EDT 2023
% Result : Unsatisfiable 159.62s 138.24s
% Output : CNFRefutation 160.05s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 123
% Syntax : Number of formulae : 657 ( 262 unt; 76 typ; 0 def)
% Number of atoms : 1251 ( 398 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 1388 ( 718 ~; 670 |; 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 : 57 ( 57 usr; 11 con; 0-2 aty)
% Number of variables : 249 (; 249 !; 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_56,axiom,
ssList(nil),
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
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_1652,axiom,
ssItem(sk5),
file(unknown,unknown) ).
tff(f_342,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ssList(cons(U,V)) ),
file(unknown,unknown) ).
tff(f_1654,axiom,
ssList(sk7),
file(unknown,unknown) ).
tff(f_1653,axiom,
ssList(sk6),
file(unknown,unknown) ).
tff(f_1655,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_884,axiom,
! [U,V,W] :
( ~ frontsegP(U,V)
| ~ ssList(W)
| ~ ssList(V)
| ~ ssList(U)
| frontsegP(app(U,W),V) ),
file(unknown,unknown) ).
tff(f_437,axiom,
! [U,V] :
( ( cons(U,V) != nil )
| ~ ssItem(U)
| ~ ssList(V) ),
file(unknown,unknown) ).
tff(f_1065,axiom,
! [U,V,W] :
( ( app(U,V) != app(U,W) )
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| ( V = W ) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1676,axiom,
( singletonP(sk3)
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_334,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(V,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,
segmentP(sk4,sk3),
file(unknown,unknown) ).
tff(f_294,axiom,
! [U] :
( ~ segmentP(nil,U)
| ~ ssList(U)
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_464,axiom,
! [U] :
( ~ singletonP(U)
| ~ ssList(U)
| ( cons(skaf44(U),nil) = U ) ),
file(unknown,unknown) ).
tff(f_132,axiom,
! [U] : ssItem(skaf44(U)),
file(unknown,unknown) ).
tff(f_420,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( tl(cons(U,V)) = V ) ),
file(unknown,unknown) ).
tff(f_492,axiom,
! [U] :
( ~ ssList(U)
| ( cons(hd(U),tl(U)) = U )
| ( nil = 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_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_784,axiom,
! [U,V] :
( ~ frontsegP(U,V)
| ~ frontsegP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [U] : ssList(skaf82(U)),
file(unknown,unknown) ).
tff(f_428,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( hd(cons(U,V)) = U ) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [U] : ssItem(skaf83(U)),
file(unknown,unknown) ).
tff(f_543,axiom,
! [U] :
( ~ ssList(U)
| ( cons(skaf83(U),skaf82(U)) = U )
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_658,axiom,
! [U,V] :
( ( app(U,V) != nil )
| ~ ssList(V)
| ~ ssList(U)
| ( nil = V ) ),
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_1079,axiom,
! [U,V,W] :
( ( app(U,V) != app(W,V) )
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| ( U = W ) ),
file(unknown,unknown) ).
tff(f_197,axiom,
! [U] :
( ~ ssItem(U)
| equalelemsP(cons(U,nil)) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
file(unknown,unknown) ).
tff(f_446,axiom,
! [U,V] :
( ( cons(U,V) != V )
| ~ ssItem(U)
| ~ ssList(V) ),
file(unknown,unknown) ).
tff(f_1656,axiom,
ssItem(sk8),
file(unknown,unknown) ).
tff(f_278,axiom,
! [U] :
( ~ ssList(U)
| ssItem(hd(U))
| ( nil = U ) ),
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_1659,axiom,
( memberP(sk6,sk8)
| memberP(sk7,sk8) ),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U] :
( ~ memberP(nil,U)
| ~ ssItem(U) ),
file(unknown,unknown) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
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_410,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_33904,plain,
! [U_2425] :
( ( app(U_2425,nil) = U_2425 )
| ~ ssList(U_2425) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_34031,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[c_410,c_33904]) ).
tff(c_251239,plain,
! [U_11925,V_11926] :
( frontsegP(app(U_11925,V_11926),U_11925)
| ~ ssList(app(U_11925,V_11926))
| ~ ssList(U_11925)
| ~ ssList(V_11926) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_251355,plain,
( frontsegP(sk1,sk1)
| ~ ssList(app(sk1,nil))
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_34031,c_251239]) ).
tff(c_251439,plain,
frontsegP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_410,c_410,c_34031,c_251355]) ).
tff(c_386,plain,
ssItem(sk5),
inference(cnfTransformation,[status(thm)],[f_1652]) ).
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_390,plain,
ssList(sk7),
inference(cnfTransformation,[status(thm)],[f_1654]) ).
tff(c_388,plain,
ssList(sk6),
inference(cnfTransformation,[status(thm)],[f_1653]) ).
tff(c_392,plain,
app(app(sk6,cons(sk5,nil)),sk7) = sk1,
inference(cnfTransformation,[status(thm)],[f_1655]) ).
tff(c_256957,plain,
! [U_12156,V_12157,W_12158] :
( segmentP(app(app(U_12156,V_12157),W_12158),V_12157)
| ~ ssList(app(app(U_12156,V_12157),W_12158))
| ~ ssList(V_12157)
| ~ ssList(U_12156)
| ~ ssList(W_12158) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_257151,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_392,c_256957]) ).
tff(c_257288,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_410,c_392,c_257151]) ).
tff(c_265120,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_257288]) ).
tff(c_265123,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_265120]) ).
tff(c_265127,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_265123]) ).
tff(c_265129,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_257288]) ).
tff(c_274,plain,
! [U_173,W_175,V_174] :
( frontsegP(app(U_173,W_175),V_174)
| ~ ssList(U_173)
| ~ ssList(V_174)
| ~ ssList(W_175)
| ~ frontsegP(U_173,V_174) ),
inference(cnfTransformation,[status(thm)],[f_884]) ).
tff(c_164546,plain,
! [V_7915,U_7916] :
( ~ ssList(V_7915)
| ~ ssItem(U_7916)
| ( cons(U_7916,V_7915) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_251158,plain,
! [U_11924] :
( ~ ssItem(U_11924)
| ( cons(U_11924,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_164546]) ).
tff(c_251237,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_386,c_251158]) ).
tff(c_252331,plain,
! [W_11944,V_11945,U_11946] :
( ( W_11944 = V_11945 )
| ~ ssList(W_11944)
| ~ ssList(U_11946)
| ~ ssList(V_11945)
| ( app(U_11946,W_11944) != app(U_11946,V_11945) ) ),
inference(cnfTransformation,[status(thm)],[f_1065]) ).
tff(c_284513,plain,
! [V_13393,U_13394] :
( ( nil = V_13393 )
| ~ ssList(U_13394)
| ~ ssList(V_13393)
| ( app(U_13394,nil) != app(U_13394,V_13393) ) ),
inference(resolution,[status(thm)],[c_16,c_252331]) ).
tff(c_284583,plain,
! [V_13393] :
( ( nil = V_13393 )
| ~ ssList(V_13393)
| ( app(sk1,nil) != app(sk1,V_13393) ) ),
inference(resolution,[status(thm)],[c_410,c_284513]) ).
tff(c_285129,plain,
! [V_13400] :
( ( nil = V_13400 )
| ~ ssList(V_13400)
| ( app(sk1,V_13400) != sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34031,c_284583]) ).
tff(c_285135,plain,
( ( cons(sk5,nil) = nil )
| ( app(sk1,cons(sk5,nil)) != sk1 ) ),
inference(resolution,[status(thm)],[c_265129,c_285129]) ).
tff(c_285243,plain,
app(sk1,cons(sk5,nil)) != sk1,
inference(negUnitSimplification,[status(thm)],[c_251237,c_285135]) ).
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_409,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_1611,plain,
! [V_459,U_460] :
( ( V_459 = U_460 )
| neq(V_459,U_460)
| ~ ssList(V_459)
| ~ ssList(U_460) ),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_404,plain,
( ~ neq(sk4,nil)
| singletonP(sk3) ),
inference(cnfTransformation,[status(thm)],[f_1676]) ).
tff(c_405,plain,
( ~ neq(sk4,nil)
| singletonP(sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_404]) ).
tff(c_408,plain,
( ~ neq(sk2,nil)
| singletonP(sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_405]) ).
tff(c_475,plain,
~ neq(sk2,nil),
inference(splitLeft,[status(thm)],[c_408]) ).
tff(c_1614,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_1611,c_475]) ).
tff(c_1625,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_409,c_1614]) ).
tff(c_1237,plain,
! [V_440,U_441] :
( ~ ssList(V_440)
| ~ ssItem(U_441)
| ( cons(U_441,V_440) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_1337,plain,
! [U_441] :
( ~ ssItem(U_441)
| ( cons(U_441,sk2) != nil ) ),
inference(resolution,[status(thm)],[c_409,c_1237]) ).
tff(c_1715,plain,
! [U_475] :
( ~ ssItem(U_475)
| ( cons(U_475,nil) != nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_1625,c_1337]) ).
tff(c_1794,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_386,c_1715]) ).
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_482,plain,
! [U_391] :
( ( app(U_391,nil) = U_391 )
| ~ ssList(U_391) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_610,plain,
app(sk7,nil) = sk7,
inference(resolution,[status(thm)],[c_390,c_482]) ).
tff(c_4016,plain,
! [U_626,V_627] :
( rearsegP(app(U_626,V_627),V_627)
| ~ ssList(app(U_626,V_627))
| ~ ssList(V_627)
| ~ ssList(U_626) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_4150,plain,
( rearsegP(sk7,nil)
| ~ ssList(app(sk7,nil))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_610,c_4016]) ).
tff(c_4243,plain,
rearsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_390,c_610,c_4150]) ).
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_4280,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ rearsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_4243,c_256]) ).
tff(c_4283,plain,
( ( sk7 = nil )
| ~ rearsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_390,c_4280]) ).
tff(c_7121,plain,
~ rearsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_4283]) ).
tff(c_384,plain,
segmentP(sk4,sk3),
inference(cnfTransformation,[status(thm)],[f_1651]) ).
tff(c_406,plain,
segmentP(sk4,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_384]) ).
tff(c_407,plain,
segmentP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_406]) ).
tff(c_1634,plain,
segmentP(nil,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_1625,c_407]) ).
tff(c_160,plain,
! [U_75] :
( ( nil = U_75 )
| ~ ssList(U_75)
| ~ segmentP(nil,U_75) ),
inference(cnfTransformation,[status(thm)],[f_294]) ).
tff(c_1659,plain,
( ( sk1 = nil )
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_1634,c_160]) ).
tff(c_1662,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_410,c_1659]) ).
tff(c_1664,plain,
app(app(sk6,cons(sk5,nil)),sk7) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_1662,c_392]) ).
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_13993,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_1664,c_286]) ).
tff(c_14035,plain,
( rearsegP(nil,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_1664,c_13993]) ).
tff(c_14036,plain,
~ ssList(app(sk6,cons(sk5,nil))),
inference(negUnitSimplification,[status(thm)],[c_7121,c_14035]) ).
tff(c_14048,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_170,c_14036]) ).
tff(c_14051,plain,
~ ssList(cons(sk5,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_14048]) ).
tff(c_14054,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_14051]) ).
tff(c_14058,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_14054]) ).
tff(c_14059,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_4283]) ).
tff(c_20444,plain,
app(app(sk6,cons(sk5,nil)),nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_14059,c_1664]) ).
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_20454,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_20444,c_346]) ).
tff(c_20507,plain,
( segmentP(nil,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_16,c_20444,c_20454]) ).
tff(c_33499,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_20507]) ).
tff(c_33600,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_33499]) ).
tff(c_33604,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_33600]) ).
tff(c_33606,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_20507]) ).
tff(c_33605,plain,
segmentP(nil,cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_20507]) ).
tff(c_33752,plain,
( ( cons(sk5,nil) = nil )
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_33605,c_160]) ).
tff(c_33762,plain,
cons(sk5,nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_33606,c_33752]) ).
tff(c_33764,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1794,c_33762]) ).
tff(c_33765,plain,
singletonP(sk1),
inference(splitRight,[status(thm)],[c_408]) ).
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_94,plain,
! [U_36] : ssItem(skaf44(U_36)),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_253648,plain,
! [U_12038] : ( cons(skaf44(U_12038),nil) != nil ),
inference(resolution,[status(thm)],[c_94,c_251158]) ).
tff(c_258460,plain,
! [U_12267] :
( ( nil != U_12267 )
| ~ ssList(U_12267)
| ~ singletonP(U_12267) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_253648]) ).
tff(c_258562,plain,
( ( sk1 != nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_258460]) ).
tff(c_258603,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_258562]) ).
tff(c_165181,plain,
! [U_7957,V_7958] :
( ( tl(cons(U_7957,V_7958)) = V_7958 )
| ~ ssList(V_7958)
| ~ ssItem(U_7957) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_165193,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_165181]) ).
tff(c_258615,plain,
! [U_12279] :
( ( tl(U_12279) = nil )
| ~ ssList(U_12279)
| ~ singletonP(U_12279) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_165193]) ).
tff(c_258717,plain,
( ( tl(sk1) = nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_258615]) ).
tff(c_258758,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_258717]) ).
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_258788,plain,
( ( sk1 = nil )
| ( cons(hd(sk1),nil) = sk1 )
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_258758,c_208]) ).
tff(c_258798,plain,
( ( sk1 = nil )
| ( cons(hd(sk1),nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410,c_258788]) ).
tff(c_258799,plain,
cons(hd(sk1),nil) = sk1,
inference(negUnitSimplification,[status(thm)],[c_258603,c_258798]) ).
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_254436,plain,
! [W_12076,V_12077,U_12078] :
( ( app(app(W_12076,V_12077),U_12078) = app(W_12076,app(V_12077,U_12078)) )
| ~ ssList(W_12076)
| ~ ssList(V_12077)
| ~ ssList(U_12078) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_254476,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_254436,c_392]) ).
tff(c_254626,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_254476]) ).
tff(c_281695,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_265129,c_254626]) ).
tff(c_281754,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_281695]) ).
tff(c_281795,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_281754]) ).
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_281862,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_281795,c_288]) ).
tff(c_281914,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_281795,c_281862]) ).
tff(c_281921,plain,
~ ssList(cons(sk5,sk7)),
inference(splitLeft,[status(thm)],[c_281914]) ).
tff(c_281924,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_281921]) ).
tff(c_281928,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_281924]) ).
tff(c_281930,plain,
ssList(cons(sk5,sk7)),
inference(splitRight,[status(thm)],[c_281914]) ).
tff(c_34028,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_33904]) ).
tff(c_167052,plain,
! [U_8110,V_8111] :
( rearsegP(app(U_8110,V_8111),V_8111)
| ~ ssList(app(U_8110,V_8111))
| ~ ssList(V_8111)
| ~ ssList(U_8110) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_167156,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_34028,c_167052]) ).
tff(c_167223,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_34028,c_167156]) ).
tff(c_166761,plain,
! [U_8102,V_8103] :
( frontsegP(app(U_8102,V_8103),U_8102)
| ~ ssList(app(U_8102,V_8103))
| ~ ssList(U_8102)
| ~ ssList(V_8103) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_166859,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_34028,c_166761]) ).
tff(c_166922,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_34028,c_166859]) ).
tff(c_171526,plain,
! [U_8319,V_8320,W_8321] :
( segmentP(app(app(U_8319,V_8320),W_8321),V_8320)
| ~ ssList(app(app(U_8319,V_8320),W_8321))
| ~ ssList(V_8320)
| ~ ssList(U_8319)
| ~ ssList(W_8321) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_171654,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_392,c_171526]) ).
tff(c_171757,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_410,c_392,c_171654]) ).
tff(c_180338,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_171757]) ).
tff(c_180341,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_180338]) ).
tff(c_180345,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_180341]) ).
tff(c_180347,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_171757]) ).
tff(c_169795,plain,
! [W_8248,V_8249,U_8250] :
( ( app(app(W_8248,V_8249),U_8250) = app(W_8248,app(V_8249,U_8250)) )
| ~ ssList(W_8248)
| ~ ssList(V_8249)
| ~ ssList(U_8250) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_169941,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_169795]) ).
tff(c_170036,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_169941]) ).
tff(c_201112,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_180347,c_170036]) ).
tff(c_201168,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_201112]) ).
tff(c_201207,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_201168]) ).
tff(c_201274,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_201207,c_288]) ).
tff(c_201326,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_201207,c_201274]) ).
tff(c_201339,plain,
~ ssList(cons(sk5,sk7)),
inference(splitLeft,[status(thm)],[c_201326]) ).
tff(c_201342,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_201339]) ).
tff(c_201346,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_201342]) ).
tff(c_201347,plain,
frontsegP(sk1,sk6),
inference(splitRight,[status(thm)],[c_201326]) ).
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_201355,plain,
( ( sk6 = sk1 )
| ~ ssList(sk1)
| ~ ssList(sk6)
| ~ frontsegP(sk6,sk1) ),
inference(resolution,[status(thm)],[c_201347,c_258]) ).
tff(c_201364,plain,
( ( sk6 = sk1 )
| ~ frontsegP(sk6,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_201355]) ).
tff(c_201714,plain,
~ frontsegP(sk6,sk1),
inference(splitLeft,[status(thm)],[c_201364]) ).
tff(c_26,plain,
! [U_2] : ssList(skaf82(U_2)),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_165203,plain,
! [U_7964,V_7965] :
( ( hd(cons(U_7964,V_7965)) = U_7964 )
| ~ ssList(V_7965)
| ~ ssItem(U_7964) ),
inference(cnfTransformation,[status(thm)],[f_428]) ).
tff(c_165215,plain,
! [U_103] :
( ( skaf44(U_103) = hd(U_103) )
| ~ ssList(nil)
| ~ ssItem(skaf44(U_103))
| ~ ssList(U_103)
| ~ singletonP(U_103) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_165203]) ).
tff(c_177856,plain,
! [U_8701] :
( ( skaf44(U_8701) = hd(U_8701) )
| ~ ssList(U_8701)
| ~ singletonP(U_8701) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_165215]) ).
tff(c_177958,plain,
( ( skaf44(sk1) = hd(sk1) )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_177856]) ).
tff(c_177997,plain,
skaf44(sk1) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_177958]) ).
tff(c_166218,plain,
! [U_8064,V_8065] :
( ( app(cons(U_8064,nil),V_8065) = cons(U_8064,V_8065) )
| ~ ssList(V_8065)
| ~ ssItem(U_8064) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_166230,plain,
! [U_103,V_8065] :
( ( cons(skaf44(U_103),V_8065) = app(U_103,V_8065) )
| ~ ssList(V_8065)
| ~ ssItem(skaf44(U_103))
| ~ ssList(U_103)
| ~ singletonP(U_103) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_166218]) ).
tff(c_205807,plain,
! [U_9795,V_9796] :
( ( cons(skaf44(U_9795),V_9796) = app(U_9795,V_9796) )
| ~ ssList(V_9796)
| ~ ssList(U_9795)
| ~ singletonP(U_9795) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_166230]) ).
tff(c_206244,plain,
! [V_9796] :
( ( cons(hd(sk1),V_9796) = app(sk1,V_9796) )
| ~ ssList(V_9796)
| ~ ssList(sk1)
| ~ singletonP(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_177997,c_205807]) ).
tff(c_220956,plain,
! [V_10473] :
( ( cons(hd(sk1),V_10473) = app(sk1,V_10473) )
| ~ ssList(V_10473) ),
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_410,c_206244]) ).
tff(c_201348,plain,
ssList(cons(sk5,sk7)),
inference(splitRight,[status(thm)],[c_201326]) ).
tff(c_24,plain,
! [U_1] : ssItem(skaf83(U_1)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_165479,plain,
! [U_8013] :
( ( nil = U_8013 )
| ( cons(skaf83(U_8013),skaf82(U_8013)) = U_8013 )
| ~ ssList(U_8013) ),
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_165488,plain,
! [U_8013] :
( ( tl(U_8013) = skaf82(U_8013) )
| ~ ssList(skaf82(U_8013))
| ~ ssItem(skaf83(U_8013))
| ( nil = U_8013 )
| ~ ssList(U_8013) ),
inference(superposition,[status(thm),theory(equality)],[c_165479,c_192]) ).
tff(c_175926,plain,
! [U_8611] :
( ( tl(U_8611) = skaf82(U_8611) )
| ( nil = U_8611 )
| ~ ssList(U_8611) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_165488]) ).
tff(c_176064,plain,
( ( tl(sk6) = skaf82(sk6) )
| ( sk6 = nil ) ),
inference(resolution,[status(thm)],[c_388,c_175926]) ).
tff(c_176471,plain,
sk6 = nil,
inference(splitLeft,[status(thm)],[c_176064]) ).
tff(c_165709,plain,
! [V_8028,U_8029] :
( ( nil = V_8028 )
| ~ ssList(U_8029)
| ~ ssList(V_8028)
| ( app(U_8029,V_8028) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_658]) ).
tff(c_175523,plain,
! [V_8595] :
( ( nil = V_8595 )
| ~ ssList(V_8595)
| ( app(sk6,V_8595) != nil ) ),
inference(resolution,[status(thm)],[c_388,c_165709]) ).
tff(c_175662,plain,
( ( sk6 = nil )
| ( app(sk6,sk6) != nil ) ),
inference(resolution,[status(thm)],[c_388,c_175523]) ).
tff(c_175668,plain,
app(sk6,sk6) != nil,
inference(splitLeft,[status(thm)],[c_175662]) ).
tff(c_176475,plain,
app(nil,nil) != nil,
inference(demodulation,[status(thm),theory(equality)],[c_176471,c_176471,c_175668]) ).
tff(c_176540,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_34028,c_176475]) ).
tff(c_176542,plain,
sk6 != nil,
inference(splitRight,[status(thm)],[c_176064]) ).
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_201277,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_201207,c_246]) ).
tff(c_201328,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_201277]) ).
tff(c_201329,plain,
( ( hd(sk6) = hd(sk1) )
| ~ ssList(cons(sk5,sk7)) ),
inference(negUnitSimplification,[status(thm)],[c_176542,c_201328]) ).
tff(c_203090,plain,
hd(sk6) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_201348,c_201329]) ).
tff(c_176541,plain,
tl(sk6) = skaf82(sk6),
inference(splitRight,[status(thm)],[c_176064]) ).
tff(c_176552,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_176541,c_208]) ).
tff(c_176565,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_176552]) ).
tff(c_176566,plain,
cons(hd(sk6),skaf82(sk6)) = sk6,
inference(negUnitSimplification,[status(thm)],[c_176542,c_176565]) ).
tff(c_203103,plain,
cons(hd(sk1),skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_203090,c_176566]) ).
tff(c_220984,plain,
( ( app(sk1,skaf82(sk6)) = sk6 )
| ~ ssList(skaf82(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_220956,c_203103]) ).
tff(c_221475,plain,
app(sk1,skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_220984]) ).
tff(c_221817,plain,
( frontsegP(sk6,sk1)
| ~ ssList(app(sk1,skaf82(sk6)))
| ~ ssList(sk1)
| ~ ssList(skaf82(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_221475,c_288]) ).
tff(c_221863,plain,
frontsegP(sk6,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_410,c_388,c_221475,c_221817]) ).
tff(c_221865,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_201714,c_221863]) ).
tff(c_221866,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_201364]) ).
tff(c_167922,plain,
! [W_8148,U_8149,V_8150] :
( ( W_8148 = U_8149 )
| ~ ssList(W_8148)
| ~ ssList(V_8150)
| ~ ssList(U_8149)
| ( app(W_8148,V_8150) != app(U_8149,V_8150) ) ),
inference(cnfTransformation,[status(thm)],[f_1079]) ).
tff(c_194800,plain,
! [U_9445,V_9446] :
( ( sk1 = U_9445 )
| ~ ssList(V_9446)
| ~ ssList(U_9445)
| ( app(sk1,V_9446) != app(U_9445,V_9446) ) ),
inference(resolution,[status(thm)],[c_410,c_167922]) ).
tff(c_195599,plain,
! [U_9465] :
( ( sk1 = U_9465 )
| ~ ssList(U_9465)
| ( app(sk1,sk6) != app(U_9465,sk6) ) ),
inference(resolution,[status(thm)],[c_388,c_194800]) ).
tff(c_195746,plain,
( ( sk6 = sk1 )
| ( app(sk6,sk6) != app(sk1,sk6) ) ),
inference(resolution,[status(thm)],[c_388,c_195599]) ).
tff(c_195751,plain,
app(sk6,sk6) != app(sk1,sk6),
inference(splitLeft,[status(thm)],[c_195746]) ).
tff(c_222188,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_221866,c_195751]) ).
tff(c_222189,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_195746]) ).
tff(c_195145,plain,
! [U_9461] :
( ( sk1 = U_9461 )
| ~ ssList(U_9461)
| ( app(sk1,sk7) != app(U_9461,sk7) ) ),
inference(resolution,[status(thm)],[c_390,c_194800]) ).
tff(c_195293,plain,
( ( sk6 = sk1 )
| ( app(sk6,sk7) != app(sk1,sk7) ) ),
inference(resolution,[status(thm)],[c_388,c_195145]) ).
tff(c_195298,plain,
app(sk6,sk7) != app(sk1,sk7),
inference(splitLeft,[status(thm)],[c_195293]) ).
tff(c_222343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_222189,c_195298]) ).
tff(c_222344,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_195293]) ).
tff(c_165124,plain,
! [U_7953] :
( ( cons(skaf44(U_7953),nil) = U_7953 )
| ~ ssList(U_7953)
| ~ singletonP(U_7953) ),
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_165136,plain,
! [U_7953] :
( equalelemsP(U_7953)
| ~ ssItem(skaf44(U_7953))
| ~ ssList(U_7953)
| ~ singletonP(U_7953) ),
inference(superposition,[status(thm),theory(equality)],[c_165124,c_128]) ).
tff(c_165514,plain,
! [U_8021] :
( equalelemsP(U_8021)
| ~ ssList(U_8021)
| ~ singletonP(U_8021) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_165136]) ).
tff(c_165652,plain,
( equalelemsP(sk6)
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_388,c_165514]) ).
tff(c_165658,plain,
~ singletonP(sk6),
inference(splitLeft,[status(thm)],[c_165652]) ).
tff(c_222465,plain,
~ singletonP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_222344,c_165658]) ).
tff(c_222507,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_222465]) ).
tff(c_222508,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_175662]) ).
tff(c_34039,plain,
! [U_2432] :
( ( app(nil,U_2432) = U_2432 )
| ~ ssList(U_2432) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_34164,plain,
app(nil,sk6) = sk6,
inference(resolution,[status(thm)],[c_388,c_34039]) ).
tff(c_166835,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_34164,c_166761]) ).
tff(c_166906,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_34164,c_166835]) ).
tff(c_166924,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_166906,c_258]) ).
tff(c_166927,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_166924]) ).
tff(c_168917,plain,
~ frontsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_166927]) ).
tff(c_222537,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_222508,c_168917]) ).
tff(c_222576,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166922,c_222537]) ).
tff(c_222577,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_166927]) ).
tff(c_34029,plain,
app(sk6,nil) = sk6,
inference(resolution,[status(thm)],[c_388,c_33904]) ).
tff(c_167141,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_34029,c_167052]) ).
tff(c_167213,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_34029,c_167141]) ).
tff(c_167243,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ rearsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_167213,c_256]) ).
tff(c_167246,plain,
( ( sk6 = nil )
| ~ rearsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_167243]) ).
tff(c_168916,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_167246]) ).
tff(c_222579,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_222577,c_168916]) ).
tff(c_222613,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_167223,c_222579]) ).
tff(c_222614,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_167246]) ).
tff(c_34523,plain,
! [V_2479,U_2480] :
( ~ ssList(V_2479)
| ~ ssItem(U_2480)
| ( cons(U_2480,V_2479) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_34827,plain,
! [U_2489] :
( ~ ssItem(U_2489)
| ( cons(U_2489,sk7) != nil ) ),
inference(resolution,[status(thm)],[c_390,c_34523]) ).
tff(c_34906,plain,
cons(sk5,sk7) != nil,
inference(resolution,[status(thm)],[c_386,c_34827]) ).
tff(c_137911,plain,
! [U_6599,V_6600,W_6601] :
( segmentP(app(app(U_6599,V_6600),W_6601),V_6600)
| ~ ssList(app(app(U_6599,V_6600),W_6601))
| ~ ssList(V_6600)
| ~ ssList(U_6599)
| ~ ssList(W_6601) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_138087,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_392,c_137911]) ).
tff(c_138222,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_410,c_392,c_138087]) ).
tff(c_145916,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_138222]) ).
tff(c_145919,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_145916]) ).
tff(c_145923,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_145919]) ).
tff(c_145925,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_138222]) ).
tff(c_135975,plain,
! [W_6537,V_6538,U_6539] :
( ( app(app(W_6537,V_6538),U_6539) = app(W_6537,app(V_6538,U_6539)) )
| ~ ssList(W_6537)
| ~ ssList(V_6538)
| ~ ssList(U_6539) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_136015,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_135975,c_392]) ).
tff(c_136192,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_136015]) ).
tff(c_163237,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_145925,c_136192]) ).
tff(c_163290,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_163237]) ).
tff(c_163327,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_163290]) ).
tff(c_163388,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_163327,c_288]) ).
tff(c_163439,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_163327,c_163388]) ).
tff(c_163448,plain,
~ ssList(cons(sk5,sk7)),
inference(splitLeft,[status(thm)],[c_163439]) ).
tff(c_163452,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_163448]) ).
tff(c_163456,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_163452]) ).
tff(c_163458,plain,
ssList(cons(sk5,sk7)),
inference(splitRight,[status(thm)],[c_163439]) ).
tff(c_133987,plain,
! [W_6430,V_6431,U_6432] :
( ( W_6430 = V_6431 )
| ~ ssList(W_6430)
| ~ ssList(U_6432)
| ~ ssList(V_6431)
| ( app(U_6432,W_6430) != app(U_6432,V_6431) ) ),
inference(cnfTransformation,[status(thm)],[f_1065]) ).
tff(c_160743,plain,
! [V_7752,U_7753] :
( ( nil = V_7752 )
| ~ ssList(U_7753)
| ~ ssList(V_7752)
| ( app(U_7753,nil) != app(U_7753,V_7752) ) ),
inference(resolution,[status(thm)],[c_16,c_133987]) ).
tff(c_160811,plain,
! [V_7752] :
( ( nil = V_7752 )
| ~ ssList(V_7752)
| ( app(sk6,nil) != app(sk6,V_7752) ) ),
inference(resolution,[status(thm)],[c_388,c_160743]) ).
tff(c_160881,plain,
! [V_7752] :
( ( nil = V_7752 )
| ~ ssList(V_7752)
| ( app(sk6,V_7752) != sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_34029,c_160811]) ).
tff(c_163491,plain,
( ( cons(sk5,sk7) = nil )
| ( app(sk6,cons(sk5,sk7)) != sk6 ) ),
inference(resolution,[status(thm)],[c_163458,c_160881]) ).
tff(c_163597,plain,
( ( cons(sk5,sk7) = nil )
| ( sk6 != sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_163327,c_163491]) ).
tff(c_163598,plain,
sk6 != sk1,
inference(negUnitSimplification,[status(thm)],[c_34906,c_163597]) ).
tff(c_34908,plain,
! [V_2490,U_2491] :
( ~ ssList(V_2490)
| ~ ssItem(U_2491)
| ( cons(U_2491,V_2490) != V_2490 ) ),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_35391,plain,
! [U_2561] :
( ~ ssItem(U_2561)
| ( cons(U_2561,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_34908]) ).
tff(c_35685,plain,
! [U_2585] : ( cons(skaf44(U_2585),nil) != nil ),
inference(resolution,[status(thm)],[c_94,c_35391]) ).
tff(c_139533,plain,
! [U_6716] :
( ( nil != U_6716 )
| ~ ssList(U_6716)
| ~ singletonP(U_6716) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_35685]) ).
tff(c_139635,plain,
( ( sk1 != nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_139533]) ).
tff(c_139676,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_139635]) ).
tff(c_35185,plain,
! [U_2534] :
( ( cons(skaf44(U_2534),nil) = U_2534 )
| ~ ssList(U_2534)
| ~ singletonP(U_2534) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_35194,plain,
! [U_2534] :
( ( tl(U_2534) = nil )
| ~ ssList(nil)
| ~ ssItem(skaf44(U_2534))
| ~ ssList(U_2534)
| ~ singletonP(U_2534) ),
inference(superposition,[status(thm),theory(equality)],[c_35185,c_192]) ).
tff(c_139718,plain,
! [U_6766] :
( ( tl(U_6766) = nil )
| ~ ssList(U_6766)
| ~ singletonP(U_6766) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_35194]) ).
tff(c_139820,plain,
( ( tl(sk1) = nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_139718]) ).
tff(c_139861,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_139820]) ).
tff(c_139869,plain,
( ( sk1 = nil )
| ( cons(hd(sk1),nil) = sk1 )
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_139861,c_208]) ).
tff(c_139879,plain,
( ( sk1 = nil )
| ( cons(hd(sk1),nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410,c_139869]) ).
tff(c_139880,plain,
cons(hd(sk1),nil) = sk1,
inference(negUnitSimplification,[status(thm)],[c_139676,c_139879]) ).
tff(c_394,plain,
ssItem(sk8),
inference(cnfTransformation,[status(thm)],[f_1656]) ).
tff(c_37244,plain,
! [U_2678,V_2679] :
( frontsegP(app(U_2678,V_2679),U_2678)
| ~ ssList(app(U_2678,V_2679))
| ~ ssList(U_2678)
| ~ ssList(V_2679) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_37384,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_34028,c_37244]) ).
tff(c_37481,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_34028,c_37384]) ).
tff(c_44250,plain,
! [U_3014] :
( ( nil != U_3014 )
| ~ ssList(U_3014)
| ~ singletonP(U_3014) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_35685]) ).
tff(c_44352,plain,
( ( sk1 != nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_44250]) ).
tff(c_44391,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_44352]) ).
tff(c_44432,plain,
! [U_3062] :
( ( tl(U_3062) = nil )
| ~ ssList(U_3062)
| ~ singletonP(U_3062) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_35194]) ).
tff(c_44534,plain,
( ( tl(sk1) = nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_44432]) ).
tff(c_44573,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_44534]) ).
tff(c_35655,plain,
! [U_2583] :
( ( nil = U_2583 )
| ( cons(skaf83(U_2583),skaf82(U_2583)) = U_2583 )
| ~ ssList(U_2583) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_35667,plain,
! [U_2583] :
( ( tl(U_2583) = skaf82(U_2583) )
| ~ ssList(skaf82(U_2583))
| ~ ssItem(skaf83(U_2583))
| ( nil = U_2583 )
| ~ ssList(U_2583) ),
inference(superposition,[status(thm),theory(equality)],[c_35655,c_192]) ).
tff(c_46145,plain,
! [U_3185] :
( ( tl(U_3185) = skaf82(U_3185) )
| ( nil = U_3185 )
| ~ ssList(U_3185) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_35667]) ).
tff(c_46247,plain,
( ( tl(sk1) = skaf82(sk1) )
| ( sk1 = nil ) ),
inference(resolution,[status(thm)],[c_410,c_46145]) ).
tff(c_46290,plain,
( ( skaf82(sk1) = nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_44573,c_46247]) ).
tff(c_46291,plain,
skaf82(sk1) = nil,
inference(negUnitSimplification,[status(thm)],[c_44391,c_46290]) ).
tff(c_43002,plain,
! [U_2911,V_2912,W_2913] :
( segmentP(app(app(U_2911,V_2912),W_2913),V_2912)
| ~ ssList(app(app(U_2911,V_2912),W_2913))
| ~ ssList(V_2912)
| ~ ssList(U_2911)
| ~ ssList(W_2913) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_43193,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_392,c_43002]) ).
tff(c_43334,plain,
( segmentP(sk1,cons(sk5,nil))
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_410,c_392,c_43193]) ).
tff(c_91839,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_43334]) ).
tff(c_91842,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_91839]) ).
tff(c_91846,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_91842]) ).
tff(c_91848,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_43334]) ).
tff(c_40213,plain,
! [W_2811,V_2812,U_2813] :
( ( app(app(W_2811,V_2812),U_2813) = app(W_2811,app(V_2812,U_2813)) )
| ~ ssList(W_2811)
| ~ ssList(V_2812)
| ~ ssList(U_2813) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_40380,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_40213]) ).
tff(c_40495,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_40380]) ).
tff(c_105489,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_91848,c_40495]) ).
tff(c_105536,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_105489]) ).
tff(c_105569,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_105536]) ).
tff(c_105624,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_105569,c_288]) ).
tff(c_105671,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_105569,c_105624]) ).
tff(c_105680,plain,
~ ssList(cons(sk5,sk7)),
inference(splitLeft,[status(thm)],[c_105671]) ).
tff(c_105683,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_105680]) ).
tff(c_105687,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_105683]) ).
tff(c_105688,plain,
frontsegP(sk1,sk6),
inference(splitRight,[status(thm)],[c_105671]) ).
tff(c_105696,plain,
( ( sk6 = sk1 )
| ~ ssList(sk1)
| ~ ssList(sk6)
| ~ frontsegP(sk6,sk1) ),
inference(resolution,[status(thm)],[c_105688,c_258]) ).
tff(c_105705,plain,
( ( sk6 = sk1 )
| ~ frontsegP(sk6,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_105696]) ).
tff(c_105826,plain,
~ frontsegP(sk6,sk1),
inference(splitLeft,[status(thm)],[c_105705]) ).
tff(c_105689,plain,
ssList(cons(sk5,sk7)),
inference(splitRight,[status(thm)],[c_105671]) ).
tff(c_36932,plain,
! [U_2674,V_2675] :
( rearsegP(app(U_2674,V_2675),V_2675)
| ~ ssList(app(U_2674,V_2675))
| ~ ssList(V_2675)
| ~ ssList(U_2674) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_37069,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_34028,c_36932]) ).
tff(c_37164,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_34028,c_37069]) ).
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_35664,plain,
! [U_2583] :
( ( skaf83(U_2583) = hd(U_2583) )
| ~ ssList(skaf82(U_2583))
| ~ ssItem(skaf83(U_2583))
| ( nil = U_2583 )
| ~ ssList(U_2583) ),
inference(superposition,[status(thm),theory(equality)],[c_35655,c_194]) ).
tff(c_44932,plain,
! [U_3099] :
( ( skaf83(U_3099) = hd(U_3099) )
| ( nil = U_3099 )
| ~ ssList(U_3099) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_35664]) ).
tff(c_45070,plain,
( ( skaf83(sk6) = hd(sk6) )
| ( sk6 = nil ) ),
inference(resolution,[status(thm)],[c_388,c_44932]) ).
tff(c_45114,plain,
sk6 = nil,
inference(splitLeft,[status(thm)],[c_45070]) ).
tff(c_37072,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_34029,c_36932]) ).
tff(c_37166,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_34029,c_37072]) ).
tff(c_37221,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ rearsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_37166,c_256]) ).
tff(c_37224,plain,
( ( sk6 = nil )
| ~ rearsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_37221]) ).
tff(c_40580,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_37224]) ).
tff(c_45159,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_45114,c_40580]) ).
tff(c_45176,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37164,c_45159]) ).
tff(c_45178,plain,
sk6 != nil,
inference(splitRight,[status(thm)],[c_45070]) ).
tff(c_105630,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_105569,c_246]) ).
tff(c_105675,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_105630]) ).
tff(c_105676,plain,
( ( hd(sk6) = hd(sk1) )
| ~ ssList(cons(sk5,sk7)) ),
inference(negUnitSimplification,[status(thm)],[c_45178,c_105675]) ).
tff(c_106252,plain,
hd(sk6) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_105689,c_105676]) ).
tff(c_46241,plain,
( ( tl(sk6) = skaf82(sk6) )
| ( sk6 = nil ) ),
inference(resolution,[status(thm)],[c_388,c_46145]) ).
tff(c_46285,plain,
tl(sk6) = skaf82(sk6),
inference(negUnitSimplification,[status(thm)],[c_45178,c_46241]) ).
tff(c_46375,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_46285,c_208]) ).
tff(c_46388,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),skaf82(sk6)) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_46375]) ).
tff(c_46389,plain,
cons(hd(sk6),skaf82(sk6)) = sk6,
inference(negUnitSimplification,[status(thm)],[c_45178,c_46388]) ).
tff(c_106253,plain,
cons(hd(sk1),skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_106252,c_46389]) ).
tff(c_35191,plain,
! [U_2534] :
( ( skaf44(U_2534) = hd(U_2534) )
| ~ ssList(nil)
| ~ ssItem(skaf44(U_2534))
| ~ ssList(U_2534)
| ~ singletonP(U_2534) ),
inference(superposition,[status(thm),theory(equality)],[c_35185,c_194]) ).
tff(c_47914,plain,
! [U_3277] :
( ( skaf44(U_3277) = hd(U_3277) )
| ~ ssList(U_3277)
| ~ singletonP(U_3277) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_35191]) ).
tff(c_48016,plain,
( ( skaf44(sk1) = hd(sk1) )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_47914]) ).
tff(c_48055,plain,
skaf44(sk1) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_48016]) ).
tff(c_36369,plain,
! [U_2628,V_2629] :
( ( app(cons(U_2628,nil),V_2629) = cons(U_2628,V_2629) )
| ~ ssList(V_2629)
| ~ ssItem(U_2628) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_36384,plain,
! [U_103,V_2629] :
( ( cons(skaf44(U_103),V_2629) = app(U_103,V_2629) )
| ~ ssList(V_2629)
| ~ ssItem(skaf44(U_103))
| ~ ssList(U_103)
| ~ singletonP(U_103) ),
inference(superposition,[status(thm),theory(equality)],[c_202,c_36369]) ).
tff(c_115634,plain,
! [U_5755,V_5756] :
( ( cons(skaf44(U_5755),V_5756) = app(U_5755,V_5756) )
| ~ ssList(V_5756)
| ~ ssList(U_5755)
| ~ singletonP(U_5755) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_36384]) ).
tff(c_116079,plain,
! [V_5756] :
( ( cons(hd(sk1),V_5756) = app(sk1,V_5756) )
| ~ ssList(V_5756)
| ~ ssList(sk1)
| ~ singletonP(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_48055,c_115634]) ).
tff(c_130895,plain,
! [V_6368] :
( ( cons(hd(sk1),V_6368) = app(sk1,V_6368) )
| ~ ssList(V_6368) ),
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_410,c_116079]) ).
tff(c_131386,plain,
( ( app(sk1,skaf82(sk6)) = sk6 )
| ~ ssList(skaf82(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_106253,c_130895]) ).
tff(c_131676,plain,
app(sk1,skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_131386]) ).
tff(c_131866,plain,
( frontsegP(sk6,sk1)
| ~ ssList(app(sk1,skaf82(sk6)))
| ~ ssList(sk1)
| ~ ssList(skaf82(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_131676,c_288]) ).
tff(c_131914,plain,
frontsegP(sk6,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_410,c_388,c_131676,c_131866]) ).
tff(c_131916,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_105826,c_131914]) ).
tff(c_131917,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_105705]) ).
tff(c_35200,plain,
! [U_2534] :
( equalelemsP(U_2534)
| ~ ssItem(skaf44(U_2534))
| ~ ssList(U_2534)
| ~ singletonP(U_2534) ),
inference(superposition,[status(thm),theory(equality)],[c_35185,c_128]) ).
tff(c_36669,plain,
! [U_2664] :
( equalelemsP(U_2664)
| ~ ssList(U_2664)
| ~ singletonP(U_2664) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_35200]) ).
tff(c_36807,plain,
( equalelemsP(sk6)
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_388,c_36669]) ).
tff(c_36838,plain,
~ singletonP(sk6),
inference(splitLeft,[status(thm)],[c_36807]) ).
tff(c_45177,plain,
skaf83(sk6) = hd(sk6),
inference(splitRight,[status(thm)],[c_45070]) ).
tff(c_45205,plain,
ssItem(hd(sk6)),
inference(superposition,[status(thm),theory(equality)],[c_45177,c_24]) ).
tff(c_156,plain,
! [U_73] :
( ( nil = U_73 )
| ssItem(hd(U_73))
| ~ ssList(U_73) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
tff(c_44581,plain,
( ( sk1 = nil )
| ( cons(hd(sk1),nil) = sk1 )
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_44573,c_208]) ).
tff(c_44591,plain,
( ( sk1 = nil )
| ( cons(hd(sk1),nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_410,c_44581]) ).
tff(c_44592,plain,
cons(hd(sk1),nil) = sk1,
inference(negUnitSimplification,[status(thm)],[c_44391,c_44591]) ).
tff(c_132,plain,
! [U_60] :
( strictorderedP(cons(U_60,nil))
| ~ ssItem(U_60) ),
inference(cnfTransformation,[status(thm)],[f_207]) ).
tff(c_44693,plain,
( strictorderedP(sk1)
| ~ ssItem(hd(sk1)) ),
inference(superposition,[status(thm),theory(equality)],[c_44592,c_132]) ).
tff(c_44776,plain,
~ ssItem(hd(sk1)),
inference(splitLeft,[status(thm)],[c_44693]) ).
tff(c_44779,plain,
( ( sk1 = nil )
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_156,c_44776]) ).
tff(c_44782,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_410,c_44779]) ).
tff(c_44784,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_44391,c_44782]) ).
tff(c_44785,plain,
strictorderedP(sk1),
inference(splitRight,[status(thm)],[c_44693]) ).
tff(c_50417,plain,
~ ssList(cons(sk5,nil)),
inference(splitLeft,[status(thm)],[c_43334]) ).
tff(c_50420,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_50417]) ).
tff(c_50424,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_50420]) ).
tff(c_50426,plain,
ssList(cons(sk5,nil)),
inference(splitRight,[status(thm)],[c_43334]) ).
tff(c_40253,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,nil))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_40213,c_392]) ).
tff(c_40418,plain,
( ( app(sk6,app(cons(sk5,nil),sk7)) = sk1 )
| ~ ssList(cons(sk5,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_388,c_40253]) ).
tff(c_66282,plain,
app(sk6,app(cons(sk5,nil),sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_50426,c_40418]) ).
tff(c_66338,plain,
( ( app(sk6,cons(sk5,sk7)) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_240,c_66282]) ).
tff(c_66377,plain,
app(sk6,cons(sk5,sk7)) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_66338]) ).
tff(c_66441,plain,
( frontsegP(sk1,sk6)
| ~ ssList(app(sk6,cons(sk5,sk7)))
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_66377,c_288]) ).
tff(c_66494,plain,
( frontsegP(sk1,sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_66377,c_66441]) ).
tff(c_66503,plain,
~ ssList(cons(sk5,sk7)),
inference(splitLeft,[status(thm)],[c_66494]) ).
tff(c_66507,plain,
( ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_66503]) ).
tff(c_66511,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_66507]) ).
tff(c_66512,plain,
frontsegP(sk1,sk6),
inference(splitRight,[status(thm)],[c_66494]) ).
tff(c_66520,plain,
( ( sk6 = sk1 )
| ~ ssList(sk1)
| ~ ssList(sk6)
| ~ frontsegP(sk6,sk1) ),
inference(resolution,[status(thm)],[c_66512,c_258]) ).
tff(c_66529,plain,
( ( sk6 = sk1 )
| ~ frontsegP(sk6,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_66520]) ).
tff(c_66676,plain,
~ frontsegP(sk6,sk1),
inference(splitLeft,[status(thm)],[c_66529]) ).
tff(c_73627,plain,
! [U_4226,V_4227] :
( ( cons(skaf44(U_4226),V_4227) = app(U_4226,V_4227) )
| ~ ssList(V_4227)
| ~ ssList(U_4226)
| ~ singletonP(U_4226) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_36384]) ).
tff(c_74071,plain,
! [V_4227] :
( ( cons(hd(sk1),V_4227) = app(sk1,V_4227) )
| ~ ssList(V_4227)
| ~ ssList(sk1)
| ~ singletonP(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_48055,c_73627]) ).
tff(c_90005,plain,
! [V_4964] :
( ( cons(hd(sk1),V_4964) = app(sk1,V_4964) )
| ~ ssList(V_4964) ),
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_410,c_74071]) ).
tff(c_66513,plain,
ssList(cons(sk5,sk7)),
inference(splitRight,[status(thm)],[c_66494]) ).
tff(c_66447,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_66377,c_246]) ).
tff(c_66498,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_66447]) ).
tff(c_66499,plain,
( ( hd(sk6) = hd(sk1) )
| ~ ssList(cons(sk5,sk7)) ),
inference(negUnitSimplification,[status(thm)],[c_45178,c_66498]) ).
tff(c_66841,plain,
hd(sk6) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_66513,c_66499]) ).
tff(c_66842,plain,
cons(hd(sk1),skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_66841,c_46389]) ).
tff(c_90047,plain,
( ( app(sk1,skaf82(sk6)) = sk6 )
| ~ ssList(skaf82(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_90005,c_66842]) ).
tff(c_90539,plain,
app(sk1,skaf82(sk6)) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_90047]) ).
tff(c_90986,plain,
( frontsegP(sk6,sk1)
| ~ ssList(app(sk1,skaf82(sk6)))
| ~ ssList(sk1)
| ~ ssList(skaf82(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_90539,c_288]) ).
tff(c_91031,plain,
frontsegP(sk6,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_410,c_388,c_90539,c_90986]) ).
tff(c_91033,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_66676,c_91031]) ).
tff(c_91034,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_66529]) ).
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_46883,plain,
( ( skaf82(sk6) = nil )
| strictorderedP(skaf82(sk6))
| ~ ssItem(hd(sk6))
| ~ ssList(skaf82(sk6))
| ~ strictorderedP(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_46389,c_248]) ).
tff(c_46950,plain,
( ( skaf82(sk6) = nil )
| strictorderedP(skaf82(sk6))
| ~ strictorderedP(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_45205,c_46883]) ).
tff(c_49984,plain,
~ strictorderedP(sk6),
inference(splitLeft,[status(thm)],[c_46950]) ).
tff(c_91067,plain,
~ strictorderedP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_91034,c_49984]) ).
tff(c_91188,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_44785,c_91067]) ).
tff(c_91189,plain,
( strictorderedP(skaf82(sk6))
| ( skaf82(sk6) = nil ) ),
inference(splitRight,[status(thm)],[c_46950]) ).
tff(c_91192,plain,
skaf82(sk6) = nil,
inference(splitLeft,[status(thm)],[c_91189]) ).
tff(c_91194,plain,
cons(hd(sk6),nil) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_91192,c_46389]) ).
tff(c_35769,plain,
! [U_2587] :
( singletonP(cons(U_2587,nil))
| ~ ssList(cons(U_2587,nil))
| ~ ssItem(U_2587) ),
inference(cnfTransformation,[status(thm)],[f_624]) ).
tff(c_35776,plain,
! [U_82] :
( singletonP(cons(U_82,nil))
| ~ ssList(nil)
| ~ ssItem(U_82) ),
inference(resolution,[status(thm)],[c_172,c_35769]) ).
tff(c_35781,plain,
! [U_82] :
( singletonP(cons(U_82,nil))
| ~ ssItem(U_82) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_35776]) ).
tff(c_91380,plain,
( singletonP(sk6)
| ~ ssItem(hd(sk6)) ),
inference(superposition,[status(thm),theory(equality)],[c_91194,c_35781]) ).
tff(c_91476,plain,
singletonP(sk6),
inference(demodulation,[status(thm),theory(equality)],[c_45205,c_91380]) ).
tff(c_91478,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_36838,c_91476]) ).
tff(c_91480,plain,
skaf82(sk6) != nil,
inference(splitRight,[status(thm)],[c_91189]) ).
tff(c_131946,plain,
skaf82(sk1) != nil,
inference(demodulation,[status(thm),theory(equality)],[c_131917,c_91480]) ).
tff(c_132069,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_46291,c_131946]) ).
tff(c_132070,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_37224]) ).
tff(c_37375,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_34164,c_37244]) ).
tff(c_37475,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_16,c_388,c_34164,c_37375]) ).
tff(c_37810,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_37475,c_258]) ).
tff(c_37813,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_388,c_37810]) ).
tff(c_40212,plain,
~ frontsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_37813]) ).
tff(c_132072,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_132070,c_40212]) ).
tff(c_132086,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_37481,c_132072]) ).
tff(c_132087,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_37813]) ).
tff(c_396,plain,
( memberP(sk7,sk8)
| memberP(sk6,sk8) ),
inference(cnfTransformation,[status(thm)],[f_1659]) ).
tff(c_34171,plain,
memberP(sk6,sk8),
inference(splitLeft,[status(thm)],[c_396]) ).
tff(c_132097,plain,
memberP(nil,sk8),
inference(demodulation,[status(thm),theory(equality)],[c_132087,c_34171]) ).
tff(c_142,plain,
! [U_65] :
( ~ ssItem(U_65)
| ~ memberP(nil,U_65) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_132115,plain,
~ ssItem(sk8),
inference(resolution,[status(thm)],[c_132097,c_142]) ).
tff(c_132119,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_394,c_132115]) ).
tff(c_132121,plain,
singletonP(sk6),
inference(splitRight,[status(thm)],[c_36807]) ).
tff(c_139629,plain,
( ( sk6 != nil )
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_388,c_139533]) ).
tff(c_139672,plain,
sk6 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_132121,c_139629]) ).
tff(c_163394,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_163327,c_246]) ).
tff(c_163443,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_163394]) ).
tff(c_163444,plain,
( ( hd(sk6) = hd(sk1) )
| ~ ssList(cons(sk5,sk7)) ),
inference(negUnitSimplification,[status(thm)],[c_139672,c_163443]) ).
tff(c_164211,plain,
hd(sk6) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_163458,c_163444]) ).
tff(c_139814,plain,
( ( tl(sk6) = nil )
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_388,c_139718]) ).
tff(c_139857,plain,
tl(sk6) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_132121,c_139814]) ).
tff(c_139891,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),nil) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_139857,c_208]) ).
tff(c_139901,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),nil) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_139891]) ).
tff(c_139902,plain,
cons(hd(sk6),nil) = sk6,
inference(negUnitSimplification,[status(thm)],[c_139672,c_139901]) ).
tff(c_164224,plain,
cons(hd(sk1),nil) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_164211,c_139902]) ).
tff(c_164226,plain,
sk6 = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_139880,c_164224]) ).
tff(c_164228,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_163598,c_164226]) ).
tff(c_164230,plain,
~ memberP(sk6,sk8),
inference(splitRight,[status(thm)],[c_396]) ).
tff(c_222644,plain,
~ memberP(nil,sk8),
inference(demodulation,[status(thm),theory(equality)],[c_222614,c_164230]) ).
tff(c_228885,plain,
! [U_10860] :
( ( tl(U_10860) = skaf82(U_10860) )
| ( nil = U_10860 )
| ~ ssList(U_10860) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_165488]) ).
tff(c_229024,plain,
( ( tl(sk7) = skaf82(sk7) )
| ( sk7 = nil ) ),
inference(resolution,[status(thm)],[c_390,c_228885]) ).
tff(c_229025,plain,
sk7 = nil,
inference(splitLeft,[status(thm)],[c_229024]) ).
tff(c_34167,plain,
app(nil,sk7) = sk7,
inference(resolution,[status(thm)],[c_390,c_34039]) ).
tff(c_166841,plain,
( frontsegP(sk7,nil)
| ~ ssList(app(nil,sk7))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_34167,c_166761]) ).
tff(c_166910,plain,
frontsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_390,c_34167,c_166841]) ).
tff(c_166934,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ frontsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_166910,c_258]) ).
tff(c_166937,plain,
( ( sk7 = nil )
| ~ frontsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_390,c_166934]) ).
tff(c_222723,plain,
~ frontsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_166937]) ).
tff(c_229048,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_229025,c_222723]) ).
tff(c_229085,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_166922,c_229048]) ).
tff(c_229087,plain,
sk7 != nil,
inference(splitRight,[status(thm)],[c_229024]) ).
tff(c_228020,plain,
! [U_10738] :
( ( tl(U_10738) = nil )
| ~ ssList(U_10738)
| ~ singletonP(U_10738) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_165193]) ).
tff(c_228119,plain,
( ( tl(sk1) = nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_410,c_228020]) ).
tff(c_228157,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_33765,c_228119]) ).
tff(c_164988,plain,
! [U_7928,V_7929] :
( ssList(cons(U_7928,V_7929))
| ~ ssList(V_7929)
| ~ ssItem(U_7928) ),
inference(cnfTransformation,[status(thm)],[f_342]) ).
tff(c_148,plain,
! [U_69] :
( ( app(nil,U_69) = U_69 )
| ~ ssList(U_69) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_249078,plain,
! [U_11832,V_11833] :
( ( app(nil,cons(U_11832,V_11833)) = cons(U_11832,V_11833) )
| ~ ssList(V_11833)
| ~ ssItem(U_11832) ),
inference(resolution,[status(thm)],[c_164988,c_148]) ).
tff(c_222641,plain,
app(app(nil,cons(sk5,nil)),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_222614,c_392]) ).
tff(c_249105,plain,
( ( app(cons(sk5,nil),sk7) = sk1 )
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_249078,c_222641]) ).
tff(c_249214,plain,
app(cons(sk5,nil),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_249105]) ).
tff(c_249516,plain,
( ( cons(sk5,sk7) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_249214,c_240]) ).
tff(c_249557,plain,
cons(sk5,sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_249516]) ).
tff(c_249652,plain,
( ( tl(sk1) = sk7 )
| ~ ssList(sk7)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_249557,c_192]) ).
tff(c_249720,plain,
sk7 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_390,c_228157,c_249652]) ).
tff(c_249722,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_229087,c_249720]) ).
tff(c_249723,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_166937]) ).
tff(c_34032,plain,
app(sk7,nil) = sk7,
inference(resolution,[status(thm)],[c_390,c_33904]) ).
tff(c_167144,plain,
( rearsegP(sk7,nil)
| ~ ssList(app(sk7,nil))
| ~ ssList(nil)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_34032,c_167052]) ).
tff(c_167215,plain,
rearsegP(sk7,nil),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_16,c_390,c_34032,c_167144]) ).
tff(c_167248,plain,
( ( sk7 = nil )
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ rearsegP(nil,sk7) ),
inference(resolution,[status(thm)],[c_167215,c_256]) ).
tff(c_167251,plain,
( ( sk7 = nil )
| ~ rearsegP(nil,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_390,c_167248]) ).
tff(c_222682,plain,
~ rearsegP(nil,sk7),
inference(splitLeft,[status(thm)],[c_167251]) ).
tff(c_249725,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_249723,c_222682]) ).
tff(c_249759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_167223,c_249725]) ).
tff(c_249760,plain,
sk7 = nil,
inference(splitRight,[status(thm)],[c_167251]) ).
tff(c_164229,plain,
memberP(sk7,sk8),
inference(splitRight,[status(thm)],[c_396]) ).
tff(c_249790,plain,
memberP(nil,sk8),
inference(demodulation,[status(thm),theory(equality)],[c_249760,c_164229]) ).
tff(c_249800,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_222644,c_249790]) ).
tff(c_249802,plain,
singletonP(sk6),
inference(splitRight,[status(thm)],[c_165652]) ).
tff(c_258556,plain,
( ( sk6 != nil )
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_388,c_258460]) ).
tff(c_258599,plain,
sk6 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_249802,c_258556]) ).
tff(c_281865,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(cons(sk5,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_281795,c_246]) ).
tff(c_281916,plain,
( ( hd(sk6) = hd(sk1) )
| ( sk6 = nil )
| ~ ssList(cons(sk5,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_281865]) ).
tff(c_281917,plain,
( ( hd(sk6) = hd(sk1) )
| ~ ssList(cons(sk5,sk7)) ),
inference(negUnitSimplification,[status(thm)],[c_258599,c_281916]) ).
tff(c_282117,plain,
hd(sk6) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_281930,c_281917]) ).
tff(c_258711,plain,
( ( tl(sk6) = nil )
| ~ singletonP(sk6) ),
inference(resolution,[status(thm)],[c_388,c_258615]) ).
tff(c_258754,plain,
tl(sk6) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_249802,c_258711]) ).
tff(c_258766,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),nil) = sk6 )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_258754,c_208]) ).
tff(c_258776,plain,
( ( sk6 = nil )
| ( cons(hd(sk6),nil) = sk6 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_258766]) ).
tff(c_258777,plain,
cons(hd(sk6),nil) = sk6,
inference(negUnitSimplification,[status(thm)],[c_258599,c_258776]) ).
tff(c_282130,plain,
cons(hd(sk1),nil) = sk6,
inference(demodulation,[status(thm),theory(equality)],[c_282117,c_258777]) ).
tff(c_282132,plain,
sk6 = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_258799,c_282130]) ).
tff(c_281929,plain,
frontsegP(sk1,sk6),
inference(splitRight,[status(thm)],[c_281914]) ).
tff(c_281937,plain,
( ( sk6 = sk1 )
| ~ ssList(sk1)
| ~ ssList(sk6)
| ~ frontsegP(sk6,sk1) ),
inference(resolution,[status(thm)],[c_281929,c_258]) ).
tff(c_281946,plain,
( ( sk6 = sk1 )
| ~ frontsegP(sk6,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_410,c_281937]) ).
tff(c_282093,plain,
~ frontsegP(sk6,sk1),
inference(splitLeft,[status(thm)],[c_281946]) ).
tff(c_282246,plain,
~ frontsegP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_282132,c_282093]) ).
tff(c_282400,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_251439,c_282246]) ).
tff(c_282401,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_281946]) ).
tff(c_251945,plain,
! [W_11932,U_11933,V_11934] :
( ( W_11932 = U_11933 )
| ~ ssList(W_11932)
| ~ ssList(V_11934)
| ~ ssList(U_11933)
| ( app(W_11932,V_11934) != app(U_11933,V_11934) ) ),
inference(cnfTransformation,[status(thm)],[f_1079]) ).
tff(c_280516,plain,
! [U_13307,V_13308] :
( ( sk6 = U_13307 )
| ~ ssList(V_13308)
| ~ ssList(U_13307)
| ( app(sk6,V_13308) != app(U_13307,V_13308) ) ),
inference(resolution,[status(thm)],[c_388,c_251945]) ).
tff(c_281093,plain,
! [U_13320] :
( ( sk6 = U_13320 )
| ~ ssList(U_13320)
| ( app(sk6,sk7) != app(U_13320,sk7) ) ),
inference(resolution,[status(thm)],[c_390,c_280516]) ).
tff(c_281244,plain,
( ( sk6 = sk1 )
| ( app(sk6,sk7) != app(sk1,sk7) ) ),
inference(resolution,[status(thm)],[c_410,c_281093]) ).
tff(c_281553,plain,
app(sk6,sk7) != app(sk1,sk7),
inference(splitLeft,[status(thm)],[c_281244]) ).
tff(c_282568,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_282401,c_281553]) ).
tff(c_282569,plain,
sk6 = sk1,
inference(splitRight,[status(thm)],[c_281244]) ).
tff(c_251473,plain,
! [U_11927,V_11928] :
( rearsegP(app(U_11927,V_11928),V_11928)
| ~ ssList(app(U_11927,V_11928))
| ~ ssList(V_11928)
| ~ ssList(U_11927) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_251571,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_392,c_251473]) ).
tff(c_251661,plain,
( rearsegP(sk1,sk7)
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_410,c_392,c_251571]) ).
tff(c_264620,plain,
~ ssList(app(sk6,cons(sk5,nil))),
inference(splitLeft,[status(thm)],[c_251661]) ).
tff(c_264623,plain,
( ~ ssList(sk6)
| ~ ssList(cons(sk5,nil)) ),
inference(resolution,[status(thm)],[c_170,c_264620]) ).
tff(c_264626,plain,
~ ssList(cons(sk5,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_264623]) ).
tff(c_264629,plain,
( ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_172,c_264626]) ).
tff(c_264633,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_386,c_16,c_264629]) ).
tff(c_264635,plain,
ssList(app(sk6,cons(sk5,nil))),
inference(splitRight,[status(thm)],[c_251661]) ).
tff(c_282611,plain,
ssList(app(sk1,cons(sk5,nil))),
inference(demodulation,[status(thm),theory(equality)],[c_282569,c_264635]) ).
tff(c_251337,plain,
( frontsegP(sk1,app(sk6,cons(sk5,nil)))
| ~ ssList(app(app(sk6,cons(sk5,nil)),sk7))
| ~ ssList(app(sk6,cons(sk5,nil)))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_392,c_251239]) ).
tff(c_251427,plain,
( frontsegP(sk1,app(sk6,cons(sk5,nil)))
| ~ ssList(app(sk6,cons(sk5,nil))) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_410,c_392,c_251337]) ).
tff(c_291086,plain,
frontsegP(sk1,app(sk1,cons(sk5,nil))),
inference(demodulation,[status(thm),theory(equality)],[c_282611,c_282569,c_282569,c_251427]) ).
tff(c_291093,plain,
( ( app(sk1,cons(sk5,nil)) = sk1 )
| ~ ssList(sk1)
| ~ ssList(app(sk1,cons(sk5,nil)))
| ~ frontsegP(app(sk1,cons(sk5,nil)),sk1) ),
inference(resolution,[status(thm)],[c_291086,c_258]) ).
tff(c_291103,plain,
( ( app(sk1,cons(sk5,nil)) = sk1 )
| ~ frontsegP(app(sk1,cons(sk5,nil)),sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_282611,c_410,c_291093]) ).
tff(c_291104,plain,
~ frontsegP(app(sk1,cons(sk5,nil)),sk1),
inference(negUnitSimplification,[status(thm)],[c_285243,c_291103]) ).
tff(c_291308,plain,
( ~ ssList(sk1)
| ~ ssList(cons(sk5,nil))
| ~ frontsegP(sk1,sk1) ),
inference(resolution,[status(thm)],[c_274,c_291104]) ).
tff(c_291315,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_251439,c_265129,c_410,c_291308]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC285-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % 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
% 0.14/0.35 % Computer : n012.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Thu Aug 3 21:29:07 EDT 2023
% 0.14/0.36 % CPUTime :
% 159.62/138.24 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 159.70/138.30
% 159.70/138.30 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 160.05/138.38
% 160.05/138.38 Inference rules
% 160.05/138.38 ----------------------
% 160.05/138.38 #Ref : 0
% 160.05/138.38 #Sup : 66180
% 160.05/138.38 #Fact : 0
% 160.05/138.38 #Define : 0
% 160.05/138.38 #Split : 275
% 160.05/138.38 #Chain : 0
% 160.05/138.38 #Close : 0
% 160.05/138.38
% 160.05/138.38 Ordering : KBO
% 160.05/138.38
% 160.05/138.38 Simplification rules
% 160.05/138.38 ----------------------
% 160.05/138.38 #Subsume : 15709
% 160.05/138.38 #Demod : 68419
% 160.05/138.38 #Tautology : 18432
% 160.05/138.38 #SimpNegUnit : 1943
% 160.05/138.38 #BackRed : 2363
% 160.05/138.38
% 160.05/138.38 #Partial instantiations: 0
% 160.05/138.38 #Strategies tried : 1
% 160.05/138.38
% 160.05/138.38 Timing (in seconds)
% 160.05/138.38 ----------------------
% 160.05/138.38 Preprocessing : 0.85
% 160.05/138.38 Parsing : 0.44
% 160.05/138.38 CNF conversion : 0.06
% 160.05/138.38 Main loop : 136.36
% 160.05/138.38 Inferencing : 24.15
% 160.05/138.38 Reduction : 69.48
% 160.05/138.38 Demodulation : 50.66
% 160.05/138.38 BG Simplification : 0.36
% 160.05/138.38 Subsumption : 34.04
% 160.05/138.38 Abstraction : 1.04
% 160.05/138.38 MUC search : 0.00
% 160.05/138.38 Cooper : 0.00
% 160.05/138.38 Total : 137.36
% 160.05/138.38 Index Insertion : 0.00
% 160.05/138.38 Index Deletion : 0.00
% 160.05/138.38 Index Matching : 0.00
% 160.05/138.38 BG Taut test : 0.00
%------------------------------------------------------------------------------