TSTP Solution File: SWC380-1 by Beagle---0.9.51
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC380-1 : 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 : n011.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 11:02:23 EDT 2023
% Result : Unsatisfiable 39.19s 22.94s
% Output : CNFRefutation 39.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 106
% Syntax : Number of formulae : 306 ( 108 unt; 74 typ; 0 def)
% Number of atoms : 488 ( 160 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 523 ( 267 ~; 256 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 55 ( 55 usr; 9 con; 0-2 aty)
% Number of variables : 93 (; 93 !; 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 > sk6 > sk5 > sk4 > sk3 > sk2 > sk1 > nil
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(skaf56,type,
skaf56: $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff(skaf74,type,
skaf74: $i > $i ).
tff(skaf61,type,
skaf61: $i > $i ).
tff(skaf51,type,
skaf51: $i > $i ).
tff(skaf83,type,
skaf83: $i > $i ).
tff(skac2,type,
skac2: $i ).
tff(skaf63,type,
skaf63: $i > $i ).
tff(skaf62,type,
skaf62: $i > $i ).
tff(sk2,type,
sk2: $i ).
tff(skaf52,type,
skaf52: $i > $i ).
tff(skaf50,type,
skaf50: $i > $i ).
tff(skaf42,type,
skaf42: ( $i * $i ) > $i ).
tff(skaf44,type,
skaf44: $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff(skaf67,type,
skaf67: $i > $i ).
tff(skaf75,type,
skaf75: $i > $i ).
tff(sk1,type,
sk1: $i ).
tff(skaf58,type,
skaf58: $i > $i ).
tff(skaf46,type,
skaf46: ( $i * $i ) > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff(skaf70,type,
skaf70: $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff(sk6,type,
sk6: $i ).
tff(skaf82,type,
skaf82: $i > $i ).
tff(skaf47,type,
skaf47: ( $i * $i ) > $i ).
tff(skaf76,type,
skaf76: $i > $i ).
tff(skac3,type,
skac3: $i ).
tff(skaf80,type,
skaf80: $i > $i ).
tff(skaf59,type,
skaf59: $i > $i ).
tff(skaf53,type,
skaf53: $i > $i ).
tff(skaf45,type,
skaf45: ( $i * $i ) > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff(skaf72,type,
skaf72: $i > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(skaf64,type,
skaf64: $i > $i ).
tff(sk4,type,
sk4: $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(skaf71,type,
skaf71: $i > $i ).
tff(skaf78,type,
skaf78: $i > $i ).
tff(sk5,type,
sk5: $i ).
tff(skaf79,type,
skaf79: $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff(skaf73,type,
skaf73: $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(skaf54,type,
skaf54: $i > $i ).
tff(skaf77,type,
skaf77: $i > $i ).
tff(sk3,type,
sk3: $i ).
tff(skaf66,type,
skaf66: $i > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff(skaf81,type,
skaf81: $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(skaf60,type,
skaf60: $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(skaf69,type,
skaf69: $i > $i ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff(skaf43,type,
skaf43: ( $i * $i ) > $i ).
tff(skaf48,type,
skaf48: ( $i * $i ) > $i ).
tff(skaf65,type,
skaf65: $i > $i ).
tff(skaf57,type,
skaf57: $i > $i ).
tff(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_1653,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1704,axiom,
( ( cons(sk5,nil) = sk3 )
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_1696,axiom,
( ssItem(sk5)
| ~ neq(sk4,nil) ),
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_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_62,axiom,
! [U] : ssItem(skaf83(U)),
file(unknown,unknown) ).
tff(f_428,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( hd(cons(U,V)) = U ) ),
file(unknown,unknown) ).
tff(f_420,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( tl(cons(U,V)) = V ) ),
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_898,axiom,
! [U,V,W] :
( ( U != V )
| ~ ssList(W)
| ~ ssItem(V)
| ~ ssItem(U)
| memberP(cons(V,W),U) ),
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_1708,axiom,
( ( app(cons(sk5,nil),sk6) = sk4 )
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_1700,axiom,
( ssList(sk6)
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_647,axiom,
! [U,V] :
( ( app(U,V) != nil )
| ~ ssList(V)
| ~ ssList(U)
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
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_624,axiom,
! [U,V] :
( ( cons(U,nil) != V )
| ~ ssItem(U)
| ~ ssList(V)
| singletonP(V) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = 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_271,axiom,
! [U] :
( ~ ssList(U)
| ssList(tl(U))
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_492,axiom,
! [U] :
( ~ ssList(U)
| ( cons(hd(U),tl(U)) = U )
| ( nil = U ) ),
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_1692,axiom,
! [A] :
( ~ ssItem(A)
| ( cons(A,nil) != sk1 )
| ~ memberP(sk2,A)
| ~ neq(sk4,nil) ),
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_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_227,axiom,
! [U] :
( ~ ssItem(U)
| cyclefreeP(cons(U,nil)) ),
file(unknown,unknown) ).
tff(c_384,plain,
neq(sk2,nil),
inference(cnfTransformation,[status(thm)],[f_1653]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_382,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_404,plain,
( ~ neq(sk4,nil)
| ( cons(sk5,nil) = sk3 ) ),
inference(cnfTransformation,[status(thm)],[f_1704]) ).
tff(c_413,plain,
( ~ neq(sk4,nil)
| ( cons(sk5,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_404]) ).
tff(c_418,plain,
( ~ neq(sk2,nil)
| ( cons(sk5,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_413]) ).
tff(c_428,plain,
cons(sk5,nil) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_418]) ).
tff(c_400,plain,
( ~ neq(sk4,nil)
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1696]) ).
tff(c_414,plain,
( ~ neq(sk2,nil)
| ssItem(sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_400]) ).
tff(c_420,plain,
ssItem(sk5),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_414]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1143,plain,
! [V_448,U_449] :
( ~ ssList(V_448)
| ~ ssItem(U_449)
| ( cons(U_449,V_448) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_16052,plain,
! [U_1246] :
( ~ ssItem(U_1246)
| ( cons(U_1246,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1143]) ).
tff(c_16109,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_420,c_16052]) ).
tff(c_16129,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_16109]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_431,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_24,plain,
! [U_1] : ssItem(skaf83(U_1)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_1853,plain,
! [U_474,V_475] :
( ( hd(cons(U_474,V_475)) = U_474 )
| ~ ssList(V_475)
| ~ ssItem(U_474) ),
inference(cnfTransformation,[status(thm)],[f_428]) ).
tff(c_1865,plain,
( ( hd(sk1) = sk5 )
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_428,c_1853]) ).
tff(c_1869,plain,
hd(sk1) = sk5,
inference(demodulation,[status(thm),theory(equality)],[c_420,c_16,c_1865]) ).
tff(c_2161,plain,
! [U_504,V_505] :
( ( tl(cons(U_504,V_505)) = V_505 )
| ~ ssList(V_505)
| ~ ssItem(U_504) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_2176,plain,
( ( tl(sk1) = nil )
| ~ ssList(nil)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_428,c_2161]) ).
tff(c_2182,plain,
tl(sk1) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_420,c_16,c_2176]) ).
tff(c_26,plain,
! [U_2] : ssList(skaf82(U_2)),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_16162,plain,
! [U_1256] :
( ( nil = U_1256 )
| ( cons(skaf83(U_1256),skaf82(U_1256)) = U_1256 )
| ~ ssList(U_1256) ),
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_16171,plain,
! [U_1256] :
( ( tl(U_1256) = skaf82(U_1256) )
| ~ ssList(skaf82(U_1256))
| ~ ssItem(skaf83(U_1256))
| ( nil = U_1256 )
| ~ ssList(U_1256) ),
inference(superposition,[status(thm),theory(equality)],[c_16162,c_192]) ).
tff(c_33003,plain,
! [U_2236] :
( ( tl(U_2236) = skaf82(U_2236) )
| ( nil = U_2236 )
| ~ ssList(U_2236) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_16171]) ).
tff(c_33099,plain,
( ( tl(sk1) = skaf82(sk1) )
| ( sk1 = nil ) ),
inference(resolution,[status(thm)],[c_431,c_33003]) ).
tff(c_33133,plain,
( ( skaf82(sk1) = nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_2182,c_33099]) ).
tff(c_33134,plain,
skaf82(sk1) = nil,
inference(negUnitSimplification,[status(thm)],[c_16129,c_33133]) ).
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_33176,plain,
( ( sk1 = nil )
| ( cons(skaf83(sk1),nil) = sk1 )
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_33134,c_218]) ).
tff(c_33206,plain,
( ( sk1 = nil )
| ( cons(skaf83(sk1),nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_431,c_33176]) ).
tff(c_33207,plain,
cons(skaf83(sk1),nil) = sk1,
inference(negUnitSimplification,[status(thm)],[c_16129,c_33206]) ).
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_33388,plain,
( ( skaf83(sk1) = hd(sk1) )
| ~ ssList(nil)
| ~ ssItem(skaf83(sk1)) ),
inference(superposition,[status(thm),theory(equality)],[c_33207,c_194]) ).
tff(c_33474,plain,
skaf83(sk1) = sk5,
inference(demodulation,[status(thm),theory(equality)],[c_24,c_16,c_1869,c_33388]) ).
tff(c_276,plain,
! [V_177,W_178] :
( memberP(cons(V_177,W_178),V_177)
| ~ ssItem(V_177)
| ~ ssList(W_178) ),
inference(cnfTransformation,[status(thm)],[f_898]) ).
tff(c_16168,plain,
! [U_1256] :
( memberP(U_1256,skaf83(U_1256))
| ~ ssItem(skaf83(U_1256))
| ~ ssList(skaf82(U_1256))
| ( nil = U_1256 )
| ~ ssList(U_1256) ),
inference(superposition,[status(thm),theory(equality)],[c_16162,c_276]) ).
tff(c_16183,plain,
! [U_1256] :
( memberP(U_1256,skaf83(U_1256))
| ( nil = U_1256 )
| ~ ssList(U_1256) ),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_24,c_16168]) ).
tff(c_802,plain,
! [U_401] :
( ( app(U_401,nil) = U_401 )
| ~ ssList(U_401) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_926,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[c_431,c_802]) ).
tff(c_17653,plain,
! [U_1343,V_1344] :
( frontsegP(app(U_1343,V_1344),U_1343)
| ~ ssList(app(U_1343,V_1344))
| ~ ssList(U_1343)
| ~ ssList(V_1344) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_17784,plain,
( frontsegP(sk1,sk1)
| ~ ssList(app(sk1,nil))
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_926,c_17653]) ).
tff(c_17887,plain,
frontsegP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_431,c_431,c_926,c_17784]) ).
tff(c_406,plain,
( ~ neq(sk4,nil)
| ( app(cons(sk5,nil),sk6) = sk4 ) ),
inference(cnfTransformation,[status(thm)],[f_1708]) ).
tff(c_415,plain,
( ~ neq(sk2,nil)
| ( app(cons(sk5,nil),sk6) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_406]) ).
tff(c_422,plain,
app(cons(sk5,nil),sk6) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_384,c_415]) ).
tff(c_429,plain,
app(sk1,sk6) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_422]) ).
tff(c_402,plain,
( ~ neq(sk4,nil)
| ssList(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1700]) ).
tff(c_417,plain,
( ~ neq(sk2,nil)
| ssList(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_402]) ).
tff(c_426,plain,
ssList(sk6),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_417]) ).
tff(c_16196,plain,
! [U_1262,V_1263] :
( ( nil = U_1262 )
| ~ ssList(U_1262)
| ~ ssList(V_1263)
| ( app(U_1262,V_1263) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_16262,plain,
! [V_1263] :
( ( sk1 = nil )
| ~ ssList(V_1263)
| ( app(sk1,V_1263) != nil ) ),
inference(resolution,[status(thm)],[c_431,c_16196]) ).
tff(c_17206,plain,
! [V_1336] :
( ~ ssList(V_1336)
| ( app(sk1,V_1336) != nil ) ),
inference(negUnitSimplification,[status(thm)],[c_16129,c_16262]) ).
tff(c_17302,plain,
app(sk1,sk6) != nil,
inference(resolution,[status(thm)],[c_426,c_17206]) ).
tff(c_17342,plain,
sk2 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_429,c_17302]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_430,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_16637,plain,
! [V_1300,U_1301] :
( ( hd(app(V_1300,U_1301)) = hd(V_1300) )
| ( nil = V_1300 )
| ~ ssList(V_1300)
| ~ ssList(U_1301) ),
inference(cnfTransformation,[status(thm)],[f_702]) ).
tff(c_16778,plain,
( ( hd(sk2) = hd(sk1) )
| ( sk1 = nil )
| ~ ssList(sk1)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_429,c_16637]) ).
tff(c_16908,plain,
( ( hd(sk2) = sk5 )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_431,c_1869,c_16778]) ).
tff(c_16909,plain,
hd(sk2) = sk5,
inference(negUnitSimplification,[status(thm)],[c_16129,c_16908]) ).
tff(c_2652,plain,
! [U_538] :
( singletonP(cons(U_538,nil))
| ~ ssList(cons(U_538,nil))
| ~ ssItem(U_538) ),
inference(cnfTransformation,[status(thm)],[f_624]) ).
tff(c_2662,plain,
( singletonP(cons(sk5,nil))
| ~ ssList(sk1)
| ~ ssItem(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_428,c_2652]) ).
tff(c_2669,plain,
singletonP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_431,c_428,c_2662]) ).
tff(c_504,plain,
! [U_389] :
( ( app(nil,U_389) = U_389 )
| ~ ssList(U_389) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_627,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[c_431,c_504]) ).
tff(c_4299,plain,
! [U_656,V_657] :
( frontsegP(app(U_656,V_657),U_656)
| ~ ssList(app(U_656,V_657))
| ~ ssList(U_656)
| ~ ssList(V_657) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_4442,plain,
( frontsegP(sk1,nil)
| ~ ssList(app(nil,sk1))
| ~ ssList(nil)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_627,c_4299]) ).
tff(c_4544,plain,
frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_431,c_16,c_431,c_627,c_4442]) ).
tff(c_625,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_504]) ).
tff(c_4448,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_625,c_4299]) ).
tff(c_4548,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_625,c_4448]) ).
tff(c_3976,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_4122,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_625,c_3976]) ).
tff(c_4220,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_625,c_4122]) ).
tff(c_154,plain,
! [U_72] :
( ( nil = U_72 )
| ssList(tl(U_72))
| ~ ssList(U_72) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
tff(c_3203,plain,
! [U_598] :
( ~ ssItem(U_598)
| ( cons(U_598,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1143]) ).
tff(c_3260,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_420,c_3203]) ).
tff(c_3280,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_428,c_3260]) ).
tff(c_3281,plain,
! [V_599,U_600] :
( ( hd(app(V_599,U_600)) = hd(V_599) )
| ( nil = V_599 )
| ~ ssList(V_599)
| ~ ssList(U_600) ),
inference(cnfTransformation,[status(thm)],[f_702]) ).
tff(c_3434,plain,
( ( hd(sk2) = hd(sk1) )
| ( sk1 = nil )
| ~ ssList(sk1)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_429,c_3281]) ).
tff(c_3576,plain,
( ( hd(sk2) = sk5 )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_431,c_1869,c_3434]) ).
tff(c_3577,plain,
hd(sk2) = sk5,
inference(negUnitSimplification,[status(thm)],[c_3280,c_3576]) ).
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_3581,plain,
( ( sk2 = nil )
| ( cons(sk5,tl(sk2)) = sk2 )
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_3577,c_208]) ).
tff(c_3588,plain,
( ( sk2 = nil )
| ( cons(sk5,tl(sk2)) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430,c_3581]) ).
tff(c_15290,plain,
cons(sk5,tl(sk2)) = sk2,
inference(splitLeft,[status(thm)],[c_3588]) ).
tff(c_15366,plain,
( memberP(sk2,sk5)
| ~ ssItem(sk5)
| ~ ssList(tl(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_15290,c_276]) ).
tff(c_15427,plain,
( memberP(sk2,sk5)
| ~ ssList(tl(sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_15366]) ).
tff(c_15436,plain,
~ ssList(tl(sk2)),
inference(splitLeft,[status(thm)],[c_15427]) ).
tff(c_15439,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_154,c_15436]) ).
tff(c_15442,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_430,c_15439]) ).
tff(c_927,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_430,c_802]) ).
tff(c_4104,plain,
( rearsegP(sk2,nil)
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_927,c_3976]) ).
tff(c_4208,plain,
rearsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_430,c_16,c_430,c_927,c_4104]) ).
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_4229,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ rearsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_4208,c_256]) ).
tff(c_4232,plain,
( ( sk2 = nil )
| ~ rearsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_430,c_4229]) ).
tff(c_12318,plain,
~ rearsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_4232]) ).
tff(c_15457,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_15442,c_12318]) ).
tff(c_15517,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4220,c_15457]) ).
tff(c_15518,plain,
memberP(sk2,sk5),
inference(splitRight,[status(thm)],[c_15427]) ).
tff(c_398,plain,
! [A_328] :
( ~ neq(sk4,nil)
| ~ memberP(sk2,A_328)
| ( cons(A_328,nil) != sk1 )
| ~ ssItem(A_328) ),
inference(cnfTransformation,[status(thm)],[f_1692]) ).
tff(c_416,plain,
! [A_328] :
( ~ neq(sk2,nil)
| ~ memberP(sk2,A_328)
| ( cons(A_328,nil) != sk1 )
| ~ ssItem(A_328) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_398]) ).
tff(c_424,plain,
! [A_328] :
( ~ memberP(sk2,A_328)
| ( cons(A_328,nil) != sk1 )
| ~ ssItem(A_328) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_416]) ).
tff(c_15581,plain,
( ( cons(sk5,nil) != sk1 )
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_15518,c_424]) ).
tff(c_15585,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_420,c_428,c_15581]) ).
tff(c_15586,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_3588]) ).
tff(c_15589,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_15586,c_12318]) ).
tff(c_15649,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4220,c_15589]) ).
tff(c_15650,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_4232]) ).
tff(c_925,plain,
app(sk6,nil) = sk6,
inference(resolution,[status(thm)],[c_426,c_802]) ).
tff(c_4110,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_925,c_3976]) ).
tff(c_4212,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_16,c_426,c_925,c_4110]) ).
tff(c_11126,plain,
cons(sk5,tl(sk2)) = sk2,
inference(splitLeft,[status(thm)],[c_3588]) ).
tff(c_11202,plain,
( memberP(sk2,sk5)
| ~ ssItem(sk5)
| ~ ssList(tl(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_11126,c_276]) ).
tff(c_11263,plain,
( memberP(sk2,sk5)
| ~ ssList(tl(sk2)) ),
inference(demodulation,[status(thm),theory(equality)],[c_420,c_11202]) ).
tff(c_11272,plain,
~ ssList(tl(sk2)),
inference(splitLeft,[status(thm)],[c_11263]) ).
tff(c_11276,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_154,c_11272]) ).
tff(c_11279,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_430,c_11276]) ).
tff(c_628,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[c_430,c_504]) ).
tff(c_4439,plain,
( frontsegP(sk2,nil)
| ~ ssList(app(nil,sk2))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_628,c_4299]) ).
tff(c_4542,plain,
frontsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_430,c_16,c_430,c_628,c_4439]) ).
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_4610,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_4542,c_258]) ).
tff(c_4613,plain,
( ( sk2 = nil )
| ~ frontsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_430,c_4610]) ).
tff(c_8386,plain,
~ frontsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_4613]) ).
tff(c_11282,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_11279,c_8386]) ).
tff(c_11343,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4548,c_11282]) ).
tff(c_11344,plain,
memberP(sk2,sk5),
inference(splitRight,[status(thm)],[c_11263]) ).
tff(c_11487,plain,
( ( cons(sk5,nil) != sk1 )
| ~ ssItem(sk5) ),
inference(resolution,[status(thm)],[c_11344,c_424]) ).
tff(c_11491,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_420,c_428,c_11487]) ).
tff(c_11492,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_3588]) ).
tff(c_11494,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_11492,c_8386]) ).
tff(c_11555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4548,c_11494]) ).
tff(c_11556,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_4613]) ).
tff(c_8112,plain,
~ rearsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_4232]) ).
tff(c_11558,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_11556,c_8112]) ).
tff(c_11618,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4220,c_11558]) ).
tff(c_11619,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_4232]) ).
tff(c_4125,plain,
( rearsegP(sk2,sk6)
| ~ ssList(app(sk1,sk6))
| ~ ssList(sk6)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_429,c_3976]) ).
tff(c_4222,plain,
rearsegP(sk2,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_431,c_426,c_430,c_429,c_4125]) ).
tff(c_4224,plain,
( ( sk6 = sk2 )
| ~ ssList(sk2)
| ~ ssList(sk6)
| ~ rearsegP(sk6,sk2) ),
inference(resolution,[status(thm)],[c_4222,c_256]) ).
tff(c_4227,plain,
( ( sk6 = sk2 )
| ~ rearsegP(sk6,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_430,c_4224]) ).
tff(c_7577,plain,
~ rearsegP(sk6,sk2),
inference(splitLeft,[status(thm)],[c_4227]) ).
tff(c_11621,plain,
~ rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_11619,c_7577]) ).
tff(c_11680,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4212,c_11621]) ).
tff(c_11681,plain,
sk6 = sk2,
inference(splitRight,[status(thm)],[c_4227]) ).
tff(c_626,plain,
app(nil,sk6) = sk6,
inference(resolution,[status(thm)],[c_426,c_504]) ).
tff(c_4445,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_626,c_4299]) ).
tff(c_4546,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_16,c_426,c_626,c_4445]) ).
tff(c_4628,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_4546,c_258]) ).
tff(c_4631,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_426,c_4628]) ).
tff(c_12216,plain,
( ( sk2 = nil )
| ~ frontsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_11681,c_11681,c_4631]) ).
tff(c_12217,plain,
~ frontsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_12216]) ).
tff(c_15652,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_15650,c_12217]) ).
tff(c_15711,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4548,c_15652]) ).
tff(c_15712,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_12216]) ).
tff(c_4451,plain,
( frontsegP(sk2,sk1)
| ~ ssList(app(sk1,sk6))
| ~ ssList(sk1)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_429,c_4299]) ).
tff(c_4550,plain,
frontsegP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_431,c_430,c_429,c_4451]) ).
tff(c_4552,plain,
( ( sk2 = sk1 )
| ~ ssList(sk2)
| ~ ssList(sk1)
| ~ frontsegP(sk1,sk2) ),
inference(resolution,[status(thm)],[c_4550,c_258]) ).
tff(c_4555,plain,
( ( sk2 = sk1 )
| ~ frontsegP(sk1,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_431,c_430,c_4552]) ).
tff(c_7391,plain,
~ frontsegP(sk1,sk2),
inference(splitLeft,[status(thm)],[c_4555]) ).
tff(c_15716,plain,
~ frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_15712,c_7391]) ).
tff(c_15772,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4544,c_15716]) ).
tff(c_15773,plain,
sk2 = sk1,
inference(splitRight,[status(thm)],[c_4555]) ).
tff(c_94,plain,
! [U_36] : ssItem(skaf44(U_36)),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_1908,plain,
! [U_478] :
( ( cons(skaf44(U_478),nil) = U_478 )
| ~ ssList(U_478)
| ~ singletonP(U_478) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_140,plain,
! [U_64] :
( cyclefreeP(cons(U_64,nil))
| ~ ssItem(U_64) ),
inference(cnfTransformation,[status(thm)],[f_227]) ).
tff(c_1935,plain,
! [U_478] :
( cyclefreeP(U_478)
| ~ ssItem(skaf44(U_478))
| ~ ssList(U_478)
| ~ singletonP(U_478) ),
inference(superposition,[status(thm),theory(equality)],[c_1908,c_140]) ).
tff(c_2235,plain,
! [U_527] :
( cyclefreeP(U_527)
| ~ ssList(U_527)
| ~ singletonP(U_527) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_1935]) ).
tff(c_2373,plain,
( cyclefreeP(sk2)
| ~ singletonP(sk2) ),
inference(resolution,[status(thm)],[c_430,c_2235]) ).
tff(c_2375,plain,
~ singletonP(sk2),
inference(splitLeft,[status(thm)],[c_2373]) ).
tff(c_15801,plain,
~ singletonP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_15773,c_2375]) ).
tff(c_15838,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_2669,c_15801]) ).
tff(c_15840,plain,
singletonP(sk2),
inference(splitRight,[status(thm)],[c_2373]) ).
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_2173,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_2161]) ).
tff(c_24599,plain,
! [U_1696] :
( ( tl(U_1696) = nil )
| ~ ssList(U_1696)
| ~ singletonP(U_1696) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_16,c_2173]) ).
tff(c_24701,plain,
( ( tl(sk2) = nil )
| ~ singletonP(sk2) ),
inference(resolution,[status(thm)],[c_430,c_24599]) ).
tff(c_24739,plain,
tl(sk2) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_15840,c_24701]) ).
tff(c_24746,plain,
( ( sk2 = nil )
| ( cons(hd(sk2),nil) = sk2 )
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_24739,c_208]) ).
tff(c_24756,plain,
( ( sk2 = nil )
| ( sk2 = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_430,c_428,c_16909,c_24746]) ).
tff(c_24757,plain,
sk2 = sk1,
inference(negUnitSimplification,[status(thm)],[c_17342,c_24756]) ).
tff(c_17802,plain,
( frontsegP(sk2,sk1)
| ~ ssList(app(sk1,sk6))
| ~ ssList(sk1)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_429,c_17653]) ).
tff(c_17899,plain,
frontsegP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_426,c_431,c_430,c_429,c_17802]) ).
tff(c_17901,plain,
( ( sk2 = sk1 )
| ~ ssList(sk2)
| ~ ssList(sk1)
| ~ frontsegP(sk1,sk2) ),
inference(resolution,[status(thm)],[c_17899,c_258]) ).
tff(c_17904,plain,
( ( sk2 = sk1 )
| ~ frontsegP(sk1,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_431,c_430,c_17901]) ).
tff(c_20723,plain,
~ frontsegP(sk1,sk2),
inference(splitLeft,[status(thm)],[c_17904]) ).
tff(c_24784,plain,
~ frontsegP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_24757,c_20723]) ).
tff(c_24830,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_17887,c_24784]) ).
tff(c_24831,plain,
sk2 = sk1,
inference(splitRight,[status(thm)],[c_17904]) ).
tff(c_54241,plain,
! [A_2962] :
( ~ memberP(sk1,A_2962)
| ( cons(A_2962,nil) != sk1 )
| ~ ssItem(A_2962) ),
inference(demodulation,[status(thm),theory(equality)],[c_24831,c_424]) ).
tff(c_54245,plain,
( ( cons(skaf83(sk1),nil) != sk1 )
| ~ ssItem(skaf83(sk1))
| ( sk1 = nil )
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_16183,c_54241]) ).
tff(c_54255,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_431,c_420,c_33474,c_428,c_33474,c_54245]) ).
tff(c_54257,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16129,c_54255]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC380-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.12 % 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
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Thu Aug 3 21:18:06 EDT 2023
% 0.12/0.33 % CPUTime :
% 39.19/22.94 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 39.29/22.96
% 39.29/22.96 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 39.46/23.01
% 39.46/23.01 Inference rules
% 39.46/23.01 ----------------------
% 39.46/23.01 #Ref : 0
% 39.46/23.01 #Sup : 11537
% 39.46/23.01 #Fact : 0
% 39.46/23.01 #Define : 0
% 39.46/23.01 #Split : 28
% 39.46/23.01 #Chain : 0
% 39.46/23.01 #Close : 0
% 39.46/23.01
% 39.46/23.01 Ordering : KBO
% 39.46/23.01
% 39.46/23.01 Simplification rules
% 39.46/23.01 ----------------------
% 39.46/23.01 #Subsume : 1465
% 39.46/23.01 #Demod : 15638
% 39.46/23.01 #Tautology : 3292
% 39.46/23.01 #SimpNegUnit : 612
% 39.46/23.01 #BackRed : 840
% 39.46/23.01
% 39.46/23.01 #Partial instantiations: 0
% 39.46/23.01 #Strategies tried : 1
% 39.46/23.01
% 39.46/23.01 Timing (in seconds)
% 39.46/23.01 ----------------------
% 39.46/23.01 Preprocessing : 0.89
% 39.46/23.01 Parsing : 0.46
% 39.46/23.01 CNF conversion : 0.07
% 39.46/23.01 Main loop : 21.08
% 39.46/23.01 Inferencing : 4.06
% 39.46/23.01 Reduction : 11.38
% 39.46/23.01 Demodulation : 9.16
% 39.46/23.01 BG Simplification : 0.17
% 39.46/23.02 Subsumption : 4.35
% 39.46/23.02 Abstraction : 0.22
% 39.46/23.02 MUC search : 0.00
% 39.46/23.02 Cooper : 0.00
% 39.46/23.02 Total : 22.06
% 39.46/23.02 Index Insertion : 0.00
% 39.46/23.02 Index Deletion : 0.00
% 39.46/23.02 Index Matching : 0.00
% 39.46/23.02 BG Taut test : 0.00
%------------------------------------------------------------------------------