TSTP Solution File: SWC377-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC377-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n010.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 11:02:22 EDT 2023
% Result : Unsatisfiable 171.72s 151.39s
% Output : CNFRefutation 172.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 106
% Syntax : Number of formulae : 276 ( 72 unt; 75 typ; 0 def)
% Number of atoms : 490 ( 81 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 583 ( 294 ~; 289 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 10 con; 0-2 aty)
% Number of variables : 181 (; 181 !; 0 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > skaf48 > skaf47 > skaf46 > skaf45 > skaf43 > skaf42 > cons > app > #nlpp > tl > skaf83 > skaf82 > skaf81 > skaf80 > skaf79 > skaf78 > skaf77 > skaf76 > skaf75 > skaf74 > skaf73 > skaf72 > skaf71 > skaf70 > skaf69 > skaf68 > skaf67 > skaf66 > skaf65 > skaf64 > skaf63 > skaf62 > skaf61 > skaf60 > skaf59 > skaf58 > skaf57 > skaf56 > skaf55 > skaf54 > skaf53 > skaf52 > skaf51 > skaf50 > skaf49 > skaf44 > hd > skac3 > skac2 > sk7 > sk6 > sk5 > sk4 > sk3 > sk2 > sk1 > nil
%Foreground sorts:
%Background operators:
%Foreground operators:
tff(skaf56,type,
skaf56: $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff(skaf74,type,
skaf74: $i > $i ).
tff(skaf61,type,
skaf61: $i > $i ).
tff(skaf51,type,
skaf51: $i > $i ).
tff(skaf83,type,
skaf83: $i > $i ).
tff(skac2,type,
skac2: $i ).
tff(skaf63,type,
skaf63: $i > $i ).
tff(skaf62,type,
skaf62: $i > $i ).
tff(sk2,type,
sk2: $i ).
tff(skaf52,type,
skaf52: $i > $i ).
tff(skaf50,type,
skaf50: $i > $i ).
tff(skaf42,type,
skaf42: ( $i * $i ) > $i ).
tff(skaf44,type,
skaf44: $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff(skaf67,type,
skaf67: $i > $i ).
tff(skaf75,type,
skaf75: $i > $i ).
tff(sk1,type,
sk1: $i ).
tff(skaf58,type,
skaf58: $i > $i ).
tff(skaf46,type,
skaf46: ( $i * $i ) > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff(skaf70,type,
skaf70: $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff(sk6,type,
sk6: $i ).
tff(skaf82,type,
skaf82: $i > $i ).
tff(skaf47,type,
skaf47: ( $i * $i ) > $i ).
tff(skaf76,type,
skaf76: $i > $i ).
tff(skac3,type,
skac3: $i ).
tff(skaf80,type,
skaf80: $i > $i ).
tff(skaf59,type,
skaf59: $i > $i ).
tff(skaf53,type,
skaf53: $i > $i ).
tff(skaf45,type,
skaf45: ( $i * $i ) > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff(skaf72,type,
skaf72: $i > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(skaf64,type,
skaf64: $i > $i ).
tff(sk4,type,
sk4: $i ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff(skaf71,type,
skaf71: $i > $i ).
tff(skaf78,type,
skaf78: $i > $i ).
tff(sk5,type,
sk5: $i ).
tff(skaf79,type,
skaf79: $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff(skaf73,type,
skaf73: $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(skaf54,type,
skaf54: $i > $i ).
tff(skaf77,type,
skaf77: $i > $i ).
tff(sk3,type,
sk3: $i ).
tff(skaf66,type,
skaf66: $i > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff(skaf81,type,
skaf81: $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff(skaf60,type,
skaf60: $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(skaf69,type,
skaf69: $i > $i ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff(skaf43,type,
skaf43: ( $i * $i ) > $i ).
tff(skaf48,type,
skaf48: ( $i * $i ) > $i ).
tff(skaf65,type,
skaf65: $i > $i ).
tff(skaf57,type,
skaf57: $i > $i ).
tff(sk7,type,
sk7: $i ).
tff(nil,type,
nil: $i ).
tff(skaf49,type,
skaf49: $i > $i ).
tff(skaf55,type,
skaf55: $i > $i ).
tff(skaf68,type,
skaf68: $i > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff(f_1659,axiom,
( ~ memberP(sk2,sk5)
| ~ memberP(sk1,sk5) ),
file(unknown,unknown) ).
tff(f_1654,axiom,
( memberP(sk2,sk5)
| memberP(sk1,sk5) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1663,axiom,
( ( nil = sk3 )
| ( nil != sk4 ) ),
file(unknown,unknown) ).
tff(f_56,axiom,
ssList(nil),
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_1671,axiom,
( ssList(sk7)
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_334,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(V,U)) ),
file(unknown,unknown) ).
tff(f_240,axiom,
! [U,V] :
( ~ ssList(U)
| duplicatefreeP(U)
| ssItem(V) ),
file(unknown,unknown) ).
tff(f_1667,axiom,
( ssItem(sk6)
| ~ neq(sk4,nil) ),
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_1675,axiom,
( ( app(cons(sk6,nil),sk7) = sk3 )
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_1679,axiom,
( ( app(sk7,cons(sk6,nil)) = sk4 )
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_1481,axiom,
! [W,U,X,Y,V] :
( ( app(app(U,cons(V,W)),cons(V,X)) != Y )
| ~ ssList(X)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| ~ duplicatefreeP(Y)
| ~ ssList(Y) ),
file(unknown,unknown) ).
tff(f_1239,axiom,
! [U,V,W] :
( ~ memberP(cons(U,V),W)
| ~ ssList(V)
| ~ ssItem(U)
| ~ ssItem(W)
| memberP(V,W)
| ( W = U ) ),
file(unknown,unknown) ).
tff(f_342,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ssList(cons(U,V)) ),
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_926,axiom,
! [U,V,W] :
( ~ memberP(U,V)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| memberP(app(U,W),V) ),
file(unknown,unknown) ).
tff(f_1405,axiom,
! [U,V,W,X] :
( ( app(U,cons(V,W)) != X )
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| ~ ssList(X)
| memberP(X,V) ),
file(unknown,unknown) ).
tff(f_245,axiom,
! [U] :
( ~ ssList(U)
| ( app(U,nil) = U ) ),
file(unknown,unknown) ).
tff(f_140,axiom,
! [U,V] : ssList(skaf45(U,V)),
file(unknown,unknown) ).
tff(f_820,axiom,
! [U,V] :
( ~ frontsegP(U,V)
| ~ ssList(V)
| ~ ssList(U)
| ( app(V,skaf45(U,V)) = U ) ),
file(unknown,unknown) ).
tff(f_233,axiom,
! [U] :
( ~ memberP(nil,U)
| ~ ssItem(U) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
file(unknown,unknown) ).
tff(f_1175,axiom,
! [U,V,W] :
( ~ ssItem(U)
| ~ ssList(V)
| ~ ssList(W)
| ( cons(U,app(V,W)) = app(cons(U,V),W) ) ),
file(unknown,unknown) ).
tff(f_1191,axiom,
! [U,V,W] :
( ~ memberP(app(U,V),W)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssItem(W)
| memberP(V,W)
| memberP(U,W) ),
file(unknown,unknown) ).
tff(f_912,axiom,
! [U,V,W] :
( ~ memberP(U,V)
| ~ ssList(U)
| ~ ssItem(W)
| ~ ssItem(V)
| memberP(cons(W,U),V) ),
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(c_388,plain,
( ~ memberP(sk1,sk5)
| ~ memberP(sk2,sk5) ),
inference(cnfTransformation,[status(thm)],[f_1659]) ).
tff(c_1747,plain,
~ memberP(sk2,sk5),
inference(splitLeft,[status(thm)],[c_388]) ).
tff(c_386,plain,
( memberP(sk1,sk5)
| memberP(sk2,sk5) ),
inference(cnfTransformation,[status(thm)],[f_1654]) ).
tff(c_58973,plain,
memberP(sk1,sk5),
inference(negUnitSimplification,[status(thm)],[c_1747,c_386]) ).
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_390,plain,
( ( sk4 != nil )
| ( sk3 = nil ) ),
inference(cnfTransformation,[status(thm)],[f_1663]) ).
tff(c_399,plain,
( ( sk4 != nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_390]) ).
tff(c_401,plain,
( ( sk2 != nil )
| ( sk1 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_399]) ).
tff(c_457,plain,
sk2 != nil,
inference(splitLeft,[status(thm)],[c_401]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_406,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_1566,plain,
! [V_471,U_472] :
( ( V_471 = U_472 )
| neq(V_471,U_472)
| ~ ssList(V_471)
| ~ ssList(U_472) ),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_394,plain,
( ~ neq(sk4,nil)
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1671]) ).
tff(c_404,plain,
( ~ neq(sk2,nil)
| ssList(sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_394]) ).
tff(c_461,plain,
~ neq(sk2,nil),
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_1577,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_1566,c_461]) ).
tff(c_1584,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_406,c_1577]) ).
tff(c_1586,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_457,c_1584]) ).
tff(c_1587,plain,
ssList(sk7),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_407,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
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_2270,plain,
! [V_542,U_543] :
( ssList(app(V_542,U_543))
| ~ ssList(V_542)
| ~ ssList(U_543) ),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_144,plain,
! [V_67,U_66] :
( ssItem(V_67)
| duplicatefreeP(U_66)
| ~ ssList(U_66) ),
inference(cnfTransformation,[status(thm)],[f_240]) ).
tff(c_1880,plain,
! [U_66] :
( duplicatefreeP(U_66)
| ~ ssList(U_66) ),
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_2325,plain,
! [V_542,U_543] :
( duplicatefreeP(app(V_542,U_543))
| ~ ssList(V_542)
| ~ ssList(U_543) ),
inference(resolution,[status(thm)],[c_2270,c_1880]) ).
tff(c_1588,plain,
neq(sk2,nil),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_392,plain,
( ~ neq(sk4,nil)
| ssItem(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1667]) ).
tff(c_402,plain,
( ~ neq(sk2,nil)
| ssItem(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_392]) ).
tff(c_1596,plain,
ssItem(sk6),
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_402]) ).
tff(c_4959,plain,
! [U_731,V_732] :
( ( app(cons(U_731,nil),V_732) = cons(U_731,V_732) )
| ~ ssList(V_732)
| ~ ssItem(U_731) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_396,plain,
( ~ neq(sk4,nil)
| ( app(cons(sk6,nil),sk7) = sk3 ) ),
inference(cnfTransformation,[status(thm)],[f_1675]) ).
tff(c_400,plain,
( ~ neq(sk4,nil)
| ( app(cons(sk6,nil),sk7) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_396]) ).
tff(c_405,plain,
( ~ neq(sk2,nil)
| ( app(cons(sk6,nil),sk7) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_400]) ).
tff(c_3288,plain,
app(cons(sk6,nil),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_405]) ).
tff(c_4968,plain,
( ( cons(sk6,sk7) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_4959,c_3288]) ).
tff(c_4983,plain,
cons(sk6,sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1596,c_1587,c_4968]) ).
tff(c_398,plain,
( ~ neq(sk4,nil)
| ( app(sk7,cons(sk6,nil)) = sk4 ) ),
inference(cnfTransformation,[status(thm)],[f_1679]) ).
tff(c_403,plain,
( ~ neq(sk2,nil)
| ( app(sk7,cons(sk6,nil)) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_398]) ).
tff(c_3194,plain,
app(sk7,cons(sk6,nil)) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_403]) ).
tff(c_11289,plain,
! [U_1010,V_1011,W_1012,X_1013] :
( ~ ssList(app(app(U_1010,cons(V_1011,W_1012)),cons(V_1011,X_1013)))
| ~ duplicatefreeP(app(app(U_1010,cons(V_1011,W_1012)),cons(V_1011,X_1013)))
| ~ ssItem(V_1011)
| ~ ssList(U_1010)
| ~ ssList(W_1012)
| ~ ssList(X_1013) ),
inference(cnfTransformation,[status(thm)],[f_1481]) ).
tff(c_11357,plain,
! [X_1013] :
( ~ ssList(app(sk2,cons(sk6,X_1013)))
| ~ duplicatefreeP(app(app(sk7,cons(sk6,nil)),cons(sk6,X_1013)))
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ ssList(X_1013) ),
inference(superposition,[status(thm),theory(equality)],[c_3194,c_11289]) ).
tff(c_58889,plain,
! [X_3136] :
( ~ ssList(app(sk2,cons(sk6,X_3136)))
| ~ duplicatefreeP(app(sk2,cons(sk6,X_3136)))
| ~ ssList(X_3136) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1587,c_1596,c_3194,c_11357]) ).
tff(c_58896,plain,
( ~ ssList(app(sk2,sk1))
| ~ duplicatefreeP(app(sk2,cons(sk6,sk7)))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_4983,c_58889]) ).
tff(c_58903,plain,
( ~ ssList(app(sk2,sk1))
| ~ duplicatefreeP(app(sk2,sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_4983,c_58896]) ).
tff(c_58907,plain,
~ duplicatefreeP(app(sk2,sk1)),
inference(splitLeft,[status(thm)],[c_58903]) ).
tff(c_58910,plain,
( ~ ssList(sk2)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_2325,c_58907]) ).
tff(c_58914,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_406,c_58910]) ).
tff(c_58915,plain,
~ ssList(app(sk2,sk1)),
inference(splitRight,[status(thm)],[c_58903]) ).
tff(c_58920,plain,
( ~ ssList(sk2)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_170,c_58915]) ).
tff(c_58924,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_406,c_58920]) ).
tff(c_58925,plain,
! [V_67] : ssItem(V_67),
inference(splitRight,[status(thm)],[c_144]) ).
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_61196,plain,
! [U_3398,V_3399] :
( ( app(cons(U_3398,nil),V_3399) = cons(U_3398,V_3399) )
| ~ ssList(V_3399) ),
inference(demodulation,[status(thm),theory(equality)],[c_58925,c_240]) ).
tff(c_60612,plain,
app(cons(sk6,nil),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_405]) ).
tff(c_61202,plain,
( ( cons(sk6,sk7) = sk1 )
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_61196,c_60612]) ).
tff(c_61217,plain,
cons(sk6,sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_61202]) ).
tff(c_322,plain,
! [W_242,U_240,V_241] :
( ( W_242 = U_240 )
| memberP(V_241,W_242)
| ~ ssItem(W_242)
| ~ ssItem(U_240)
| ~ ssList(V_241)
| ~ memberP(cons(U_240,V_241),W_242) ),
inference(cnfTransformation,[status(thm)],[f_1239]) ).
tff(c_66178,plain,
! [W_3623,U_3624,V_3625] :
( ( W_3623 = U_3624 )
| memberP(V_3625,W_3623)
| ~ ssList(V_3625)
| ~ memberP(cons(U_3624,V_3625),W_3623) ),
inference(demodulation,[status(thm),theory(equality)],[c_58925,c_58925,c_322]) ).
tff(c_66187,plain,
! [W_3623] :
( ( sk6 = W_3623 )
| memberP(sk7,W_3623)
| ~ ssList(sk7)
| ~ memberP(sk1,W_3623) ),
inference(superposition,[status(thm),theory(equality)],[c_61217,c_66178]) ).
tff(c_66202,plain,
! [W_3623] :
( ( sk6 = W_3623 )
| memberP(sk7,W_3623)
| ~ memberP(sk1,W_3623) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_66187]) ).
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_59686,plain,
! [U_82,V_83] :
( ssList(cons(U_82,V_83))
| ~ ssList(V_83) ),
inference(demodulation,[status(thm),theory(equality)],[c_58925,c_172]) ).
tff(c_60076,plain,
app(sk7,cons(sk6,nil)) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_403]) ).
tff(c_62303,plain,
! [U_3461,V_3462] :
( frontsegP(app(U_3461,V_3462),U_3461)
| ~ ssList(app(U_3461,V_3462))
| ~ ssList(U_3461)
| ~ ssList(V_3462) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_62329,plain,
( frontsegP(sk2,sk7)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_60076,c_62303]) ).
tff(c_62482,plain,
( frontsegP(sk2,sk7)
| ~ ssList(cons(sk6,nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_406,c_60076,c_62329]) ).
tff(c_67484,plain,
~ ssList(cons(sk6,nil)),
inference(splitLeft,[status(thm)],[c_62482]) ).
tff(c_67487,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[c_59686,c_67484]) ).
tff(c_67491,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_67487]) ).
tff(c_67493,plain,
ssList(cons(sk6,nil)),
inference(splitRight,[status(thm)],[c_62482]) ).
tff(c_280,plain,
! [U_182,W_184,V_183] :
( memberP(app(U_182,W_184),V_183)
| ~ ssItem(V_183)
| ~ ssList(U_182)
| ~ ssList(W_184)
| ~ memberP(U_182,V_183) ),
inference(cnfTransformation,[status(thm)],[f_926]) ).
tff(c_62902,plain,
! [U_3466,W_3467,V_3468] :
( memberP(app(U_3466,W_3467),V_3468)
| ~ ssList(U_3466)
| ~ ssList(W_3467)
| ~ memberP(U_3466,V_3468) ),
inference(demodulation,[status(thm),theory(equality)],[c_58925,c_280]) ).
tff(c_62926,plain,
! [V_3468] :
( memberP(sk2,V_3468)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk7,V_3468) ),
inference(superposition,[status(thm),theory(equality)],[c_60076,c_62902]) ).
tff(c_63078,plain,
! [V_3468] :
( memberP(sk2,V_3468)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk7,V_3468) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_62926]) ).
tff(c_85875,plain,
! [V_4523] :
( memberP(sk2,V_4523)
| ~ memberP(sk7,V_4523) ),
inference(demodulation,[status(thm),theory(equality)],[c_67493,c_63078]) ).
tff(c_85996,plain,
! [W_4528] :
( memberP(sk2,W_4528)
| ( sk6 = W_4528 )
| ~ memberP(sk1,W_4528) ),
inference(resolution,[status(thm)],[c_66202,c_85875]) ).
tff(c_85999,plain,
( ( sk6 = sk5 )
| ~ memberP(sk1,sk5) ),
inference(resolution,[status(thm)],[c_85996,c_1747]) ).
tff(c_86002,plain,
sk6 = sk5,
inference(demodulation,[status(thm),theory(equality)],[c_58973,c_85999]) ).
tff(c_350,plain,
! [U_273,V_274,W_275] :
( memberP(app(U_273,cons(V_274,W_275)),V_274)
| ~ ssList(app(U_273,cons(V_274,W_275)))
| ~ ssItem(V_274)
| ~ ssList(U_273)
| ~ ssList(W_275) ),
inference(cnfTransformation,[status(thm)],[f_1405]) ).
tff(c_68099,plain,
! [U_3706,V_3707,W_3708] :
( memberP(app(U_3706,cons(V_3707,W_3708)),V_3707)
| ~ ssList(app(U_3706,cons(V_3707,W_3708)))
| ~ ssList(U_3706)
| ~ ssList(W_3708) ),
inference(demodulation,[status(thm),theory(equality)],[c_58925,c_350]) ).
tff(c_68157,plain,
( memberP(sk2,sk6)
| ~ ssList(app(sk7,cons(sk6,nil)))
| ~ ssList(sk7)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_60076,c_68099]) ).
tff(c_68185,plain,
memberP(sk2,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1587,c_406,c_60076,c_68157]) ).
tff(c_86458,plain,
memberP(sk2,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_86002,c_68185]) ).
tff(c_86469,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1747,c_86458]) ).
tff(c_86470,plain,
~ memberP(sk1,sk5),
inference(splitRight,[status(thm)],[c_388]) ).
tff(c_86474,plain,
! [U_4534] :
( ( app(U_4534,nil) = U_4534 )
| ~ ssList(U_4534) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_86598,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_406,c_86474]) ).
tff(c_147164,plain,
! [U_7463,V_7464] :
( frontsegP(app(U_7463,V_7464),U_7463)
| ~ ssList(app(U_7463,V_7464))
| ~ ssList(U_7463)
| ~ ssList(V_7464) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_147313,plain,
( frontsegP(sk2,sk2)
| ~ ssList(app(sk2,nil))
| ~ ssList(sk2)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_86598,c_147164]) ).
tff(c_147422,plain,
frontsegP(sk2,sk2),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_406,c_406,c_86598,c_147313]) ).
tff(c_86471,plain,
memberP(sk2,sk5),
inference(splitRight,[status(thm)],[c_388]) ).
tff(c_102,plain,
! [U_43,V_44] : ssList(skaf45(U_43,V_44)),
inference(cnfTransformation,[status(thm)],[f_140]) ).
tff(c_264,plain,
! [V_163,U_162] :
( ( app(V_163,skaf45(U_162,V_163)) = U_162 )
| ~ ssList(U_162)
| ~ ssList(V_163)
| ~ frontsegP(U_162,V_163) ),
inference(cnfTransformation,[status(thm)],[f_820]) ).
tff(c_86871,plain,
! [V_4580,U_4581] :
( ssList(app(V_4580,U_4581))
| ~ ssList(V_4580)
| ~ ssList(U_4581) ),
inference(cnfTransformation,[status(thm)],[f_334]) ).
tff(c_86612,plain,
! [U_66] :
( duplicatefreeP(U_66)
| ~ ssList(U_66) ),
inference(splitLeft,[status(thm)],[c_144]) ).
tff(c_86914,plain,
! [V_4580,U_4581] :
( duplicatefreeP(app(V_4580,U_4581))
| ~ ssList(V_4580)
| ~ ssList(U_4581) ),
inference(resolution,[status(thm)],[c_86871,c_86612]) ).
tff(c_88977,plain,
! [U_4735,V_4736] :
( ( app(cons(U_4735,nil),V_4736) = cons(U_4735,V_4736) )
| ~ ssList(V_4736)
| ~ ssItem(U_4735) ),
inference(cnfTransformation,[status(thm)],[f_666]) ).
tff(c_88251,plain,
app(cons(sk6,nil),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_405]) ).
tff(c_88983,plain,
( ( cons(sk6,sk7) = sk1 )
| ~ ssList(sk7)
| ~ ssItem(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_88977,c_88251]) ).
tff(c_88998,plain,
cons(sk6,sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1596,c_1587,c_88983]) ).
tff(c_87934,plain,
app(sk7,cons(sk6,nil)) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_403]) ).
tff(c_96022,plain,
! [U_5057,V_5058,W_5059,X_5060] :
( ~ ssList(app(app(U_5057,cons(V_5058,W_5059)),cons(V_5058,X_5060)))
| ~ duplicatefreeP(app(app(U_5057,cons(V_5058,W_5059)),cons(V_5058,X_5060)))
| ~ ssItem(V_5058)
| ~ ssList(U_5057)
| ~ ssList(W_5059)
| ~ ssList(X_5060) ),
inference(cnfTransformation,[status(thm)],[f_1481]) ).
tff(c_96090,plain,
! [X_5060] :
( ~ ssList(app(sk2,cons(sk6,X_5060)))
| ~ duplicatefreeP(app(app(sk7,cons(sk6,nil)),cons(sk6,X_5060)))
| ~ ssItem(sk6)
| ~ ssList(sk7)
| ~ ssList(nil)
| ~ ssList(X_5060) ),
inference(superposition,[status(thm),theory(equality)],[c_87934,c_96022]) ).
tff(c_143775,plain,
! [X_7152] :
( ~ ssList(app(sk2,cons(sk6,X_7152)))
| ~ duplicatefreeP(app(sk2,cons(sk6,X_7152)))
| ~ ssList(X_7152) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_1587,c_1596,c_87934,c_96090]) ).
tff(c_143782,plain,
( ~ ssList(app(sk2,sk1))
| ~ duplicatefreeP(app(sk2,cons(sk6,sk7)))
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_88998,c_143775]) ).
tff(c_143789,plain,
( ~ ssList(app(sk2,sk1))
| ~ duplicatefreeP(app(sk2,sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_88998,c_143782]) ).
tff(c_143793,plain,
~ duplicatefreeP(app(sk2,sk1)),
inference(splitLeft,[status(thm)],[c_143789]) ).
tff(c_143796,plain,
( ~ ssList(sk2)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_86914,c_143793]) ).
tff(c_143800,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_406,c_143796]) ).
tff(c_143801,plain,
~ ssList(app(sk2,sk1)),
inference(splitRight,[status(thm)],[c_143789]) ).
tff(c_143806,plain,
( ~ ssList(sk2)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_170,c_143801]) ).
tff(c_143810,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_407,c_406,c_143806]) ).
tff(c_143811,plain,
! [V_67] : ssItem(V_67),
inference(splitRight,[status(thm)],[c_144]) ).
tff(c_148012,plain,
! [U_7492,W_7493,V_7494] :
( memberP(app(U_7492,W_7493),V_7494)
| ~ ssList(U_7492)
| ~ ssList(W_7493)
| ~ memberP(U_7492,V_7494) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_280]) ).
tff(c_148018,plain,
! [U_162,V_7494,V_163] :
( memberP(U_162,V_7494)
| ~ ssList(V_163)
| ~ ssList(skaf45(U_162,V_163))
| ~ memberP(V_163,V_7494)
| ~ ssList(U_162)
| ~ ssList(V_163)
| ~ frontsegP(U_162,V_163) ),
inference(superposition,[status(thm),theory(equality)],[c_264,c_148012]) ).
tff(c_208591,plain,
! [U_10704,V_10705,V_10706] :
( memberP(U_10704,V_10705)
| ~ memberP(V_10706,V_10705)
| ~ ssList(U_10704)
| ~ ssList(V_10706)
| ~ frontsegP(U_10704,V_10706) ),
inference(demodulation,[status(thm),theory(equality)],[c_102,c_148018]) ).
tff(c_208683,plain,
! [U_10704] :
( memberP(U_10704,sk5)
| ~ ssList(U_10704)
| ~ ssList(sk2)
| ~ frontsegP(U_10704,sk2) ),
inference(resolution,[status(thm)],[c_86471,c_208591]) ).
tff(c_208805,plain,
! [U_10704] :
( memberP(U_10704,sk5)
| ~ ssList(U_10704)
| ~ frontsegP(U_10704,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_208683]) ).
tff(c_142,plain,
! [U_65] :
( ~ ssItem(U_65)
| ~ memberP(nil,U_65) ),
inference(cnfTransformation,[status(thm)],[f_233]) ).
tff(c_143829,plain,
! [U_65] : ~ memberP(nil,U_65),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_142]) ).
tff(c_1605,plain,
! [U_487] :
( ( app(nil,U_487) = U_487 )
| ~ ssList(U_487) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_1727,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_1605]) ).
tff(c_314,plain,
! [U_230,V_231,W_232] :
( ( cons(U_230,app(V_231,W_232)) = app(cons(U_230,V_231),W_232) )
| ~ ssList(W_232)
| ~ ssList(V_231)
| ~ ssItem(U_230) ),
inference(cnfTransformation,[status(thm)],[f_1175]) ).
tff(c_150628,plain,
! [U_7616,V_7617,W_7618] :
( ( cons(U_7616,app(V_7617,W_7618)) = app(cons(U_7616,V_7617),W_7618) )
| ~ ssList(W_7618)
| ~ ssList(V_7617) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_314]) ).
tff(c_150832,plain,
! [U_7616] :
( ( app(cons(U_7616,nil),nil) = cons(U_7616,nil) )
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_1727,c_150628]) ).
tff(c_150942,plain,
! [U_7616] : ( app(cons(U_7616,nil),nil) = cons(U_7616,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_150832]) ).
tff(c_144511,plain,
! [U_82,V_83] :
( ssList(cons(U_82,V_83))
| ~ ssList(V_83) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_172]) ).
tff(c_222139,plain,
! [U_11243,V_11244,W_11245] :
( ssList(app(cons(U_11243,V_11244),W_11245))
| ~ ssList(app(V_11244,W_11245))
| ~ ssList(W_11245)
| ~ ssList(V_11244) ),
inference(superposition,[status(thm),theory(equality)],[c_150628,c_144511]) ).
tff(c_222628,plain,
! [U_7616] :
( ssList(cons(U_7616,nil))
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_150942,c_222139]) ).
tff(c_222887,plain,
! [U_7616] : ssList(cons(U_7616,nil)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_1727,c_222628]) ).
tff(c_145357,plain,
app(sk7,cons(sk6,nil)) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_403]) ).
tff(c_316,plain,
! [U_233,W_235,V_234] :
( memberP(U_233,W_235)
| memberP(V_234,W_235)
| ~ ssItem(W_235)
| ~ ssList(U_233)
| ~ ssList(V_234)
| ~ memberP(app(U_233,V_234),W_235) ),
inference(cnfTransformation,[status(thm)],[f_1191]) ).
tff(c_151135,plain,
! [U_7647,W_7648,V_7649] :
( memberP(U_7647,W_7648)
| memberP(V_7649,W_7648)
| ~ ssList(U_7647)
| ~ ssList(V_7649)
| ~ memberP(app(U_7647,V_7649),W_7648) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_316]) ).
tff(c_151162,plain,
! [W_7648] :
( memberP(sk7,W_7648)
| memberP(cons(sk6,nil),W_7648)
| ~ ssList(sk7)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,W_7648) ),
inference(superposition,[status(thm),theory(equality)],[c_145357,c_151135]) ).
tff(c_151322,plain,
! [W_7648] :
( memberP(sk7,W_7648)
| memberP(cons(sk6,nil),W_7648)
| ~ ssList(cons(sk6,nil))
| ~ memberP(sk2,W_7648) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_151162]) ).
tff(c_244881,plain,
! [W_11733] :
( memberP(sk7,W_11733)
| memberP(cons(sk6,nil),W_11733)
| ~ memberP(sk2,W_11733) ),
inference(demodulation,[status(thm),theory(equality)],[c_222887,c_151322]) ).
tff(c_151097,plain,
! [W_242,U_240,V_241] :
( ( W_242 = U_240 )
| memberP(V_241,W_242)
| ~ ssList(V_241)
| ~ memberP(cons(U_240,V_241),W_242) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_143811,c_322]) ).
tff(c_244900,plain,
! [W_11733] :
( ( sk6 = W_11733 )
| memberP(nil,W_11733)
| ~ ssList(nil)
| memberP(sk7,W_11733)
| ~ memberP(sk2,W_11733) ),
inference(resolution,[status(thm)],[c_244881,c_151097]) ).
tff(c_244915,plain,
! [W_11733] :
( ( sk6 = W_11733 )
| memberP(nil,W_11733)
| memberP(sk7,W_11733)
| ~ memberP(sk2,W_11733) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_244900]) ).
tff(c_252441,plain,
! [W_12002] :
( ( sk6 = W_12002 )
| memberP(sk7,W_12002)
| ~ memberP(sk2,W_12002) ),
inference(negUnitSimplification,[status(thm)],[c_143829,c_244915]) ).
tff(c_146546,plain,
! [U_7424,V_7425] :
( ( app(cons(U_7424,nil),V_7425) = cons(U_7424,V_7425) )
| ~ ssList(V_7425) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_240]) ).
tff(c_144747,plain,
app(cons(sk6,nil),sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1588,c_405]) ).
tff(c_146555,plain,
( ( cons(sk6,sk7) = sk1 )
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_146546,c_144747]) ).
tff(c_146571,plain,
cons(sk6,sk7) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_146555]) ).
tff(c_278,plain,
! [W_181,U_179,V_180] :
( memberP(cons(W_181,U_179),V_180)
| ~ ssItem(V_180)
| ~ ssItem(W_181)
| ~ ssList(U_179)
| ~ memberP(U_179,V_180) ),
inference(cnfTransformation,[status(thm)],[f_912]) ).
tff(c_147671,plain,
! [W_7478,U_7479,V_7480] :
( memberP(cons(W_7478,U_7479),V_7480)
| ~ ssList(U_7479)
| ~ memberP(U_7479,V_7480) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_143811,c_278]) ).
tff(c_147674,plain,
! [V_7480] :
( memberP(sk1,V_7480)
| ~ ssList(sk7)
| ~ memberP(sk7,V_7480) ),
inference(superposition,[status(thm),theory(equality)],[c_146571,c_147671]) ).
tff(c_147685,plain,
! [V_7480] :
( memberP(sk1,V_7480)
| ~ memberP(sk7,V_7480) ),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_147674]) ).
tff(c_291697,plain,
! [W_12396] :
( memberP(sk1,W_12396)
| ( sk6 = W_12396 )
| ~ memberP(sk2,W_12396) ),
inference(resolution,[status(thm)],[c_252441,c_147685]) ).
tff(c_291709,plain,
( memberP(sk1,sk5)
| ( sk6 = sk5 )
| ~ ssList(sk2)
| ~ frontsegP(sk2,sk2) ),
inference(resolution,[status(thm)],[c_208805,c_291697]) ).
tff(c_291755,plain,
( memberP(sk1,sk5)
| ( sk6 = sk5 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_147422,c_406,c_291709]) ).
tff(c_291756,plain,
sk6 = sk5,
inference(negUnitSimplification,[status(thm)],[c_86470,c_291755]) ).
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_144678,plain,
! [V_177,W_178] :
( memberP(cons(V_177,W_178),V_177)
| ~ ssList(W_178) ),
inference(demodulation,[status(thm),theory(equality)],[c_143811,c_276]) ).
tff(c_146584,plain,
( memberP(sk1,sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_146571,c_144678]) ).
tff(c_146599,plain,
memberP(sk1,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_1587,c_146584]) ).
tff(c_291845,plain,
memberP(sk1,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_291756,c_146599]) ).
tff(c_291853,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_86470,c_291845]) ).
tff(c_291855,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_401]) ).
tff(c_291854,plain,
sk1 = nil,
inference(splitRight,[status(thm)],[c_401]) ).
tff(c_291896,plain,
( ~ memberP(nil,sk5)
| ~ memberP(nil,sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_291855,c_291854,c_388]) ).
tff(c_291897,plain,
~ memberP(nil,sk5),
inference(splitLeft,[status(thm)],[c_291896]) ).
tff(c_291898,plain,
( memberP(nil,sk5)
| memberP(nil,sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_291855,c_291854,c_386]) ).
tff(c_291899,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291897,c_291897,c_291898]) ).
tff(c_291900,plain,
~ memberP(nil,sk5),
inference(splitRight,[status(thm)],[c_291896]) ).
tff(c_291901,plain,
memberP(nil,sk5),
inference(splitRight,[status(thm)],[c_291896]) ).
tff(c_291902,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_291900,c_291901]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC377-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.14/0.35 % Computer : n010.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 21:16:13 EDT 2023
% 0.14/0.35 % CPUTime :
% 171.72/151.39 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 171.91/151.42
% 171.91/151.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 172.19/151.47
% 172.19/151.47 Inference rules
% 172.19/151.47 ----------------------
% 172.19/151.47 #Ref : 20
% 172.19/151.47 #Sup : 67492
% 172.19/151.47 #Fact : 0
% 172.19/151.47 #Define : 0
% 172.19/151.47 #Split : 164
% 172.19/151.47 #Chain : 0
% 172.19/151.47 #Close : 0
% 172.19/151.47
% 172.19/151.47 Ordering : KBO
% 172.19/151.47
% 172.19/151.47 Simplification rules
% 172.19/151.47 ----------------------
% 172.19/151.47 #Subsume : 15613
% 172.19/151.47 #Demod : 57989
% 172.19/151.47 #Tautology : 13439
% 172.19/151.47 #SimpNegUnit : 3573
% 172.19/151.47 #BackRed : 457
% 172.19/151.47
% 172.19/151.47 #Partial instantiations: 0
% 172.19/151.47 #Strategies tried : 1
% 172.19/151.47
% 172.19/151.47 Timing (in seconds)
% 172.19/151.47 ----------------------
% 172.19/151.47 Preprocessing : 0.85
% 172.19/151.47 Parsing : 0.45
% 172.19/151.47 CNF conversion : 0.06
% 172.19/151.47 Main loop : 149.46
% 172.19/151.47 Inferencing : 23.09
% 172.19/151.47 Reduction : 69.18
% 172.19/151.47 Demodulation : 50.91
% 172.19/151.47 BG Simplification : 0.43
% 172.19/151.47 Subsumption : 45.19
% 172.19/151.47 Abstraction : 1.14
% 172.19/151.47 MUC search : 0.00
% 172.19/151.47 Cooper : 0.00
% 172.19/151.47 Total : 150.40
% 172.19/151.47 Index Insertion : 0.00
% 172.19/151.47 Index Deletion : 0.00
% 172.19/151.47 Index Matching : 0.00
% 172.19/151.47 BG Taut test : 0.00
%------------------------------------------------------------------------------