TSTP Solution File: SWC071-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC071-1 : 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 : n031.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 11:01:02 EDT 2023
% Result : Unsatisfiable 21.56s 8.35s
% Output : CNFRefutation 21.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 103
% Syntax : Number of formulae : 227 ( 71 unt; 75 typ; 0 def)
% Number of atoms : 305 ( 107 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 303 ( 150 ~; 153 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 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 : 56 ( 56 usr; 10 con; 0-2 aty)
% Number of variables : 55 (; 55 !; 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_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_161,axiom,
! [U] :
( ~ ssList(U)
| segmentP(U,U) ),
file(unknown,unknown) ).
tff(f_1716,axiom,
( ( cons(sk5,nil) = sk3 )
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1670,axiom,
( ssItem(sk5)
| ( nil = sk4 ) ),
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_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1713,axiom,
( ssList(sk7)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(f_1676,axiom,
( ssList(sk6)
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_1719,axiom,
( ( app(app(sk6,sk3),sk7) = sk4 )
| ( nil = sk3 ) ),
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_1662,axiom,
! [A] :
( ~ ssList(A)
| ~ neq(A,nil)
| ~ segmentP(sk2,A)
| ~ segmentP(sk1,A) ),
file(unknown,unknown) ).
tff(f_1667,axiom,
( ( nil != sk2 )
| ( nil != sk1 ) ),
file(unknown,unknown) ).
tff(f_1682,axiom,
( ( cons(sk5,nil) = sk3 )
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_1679,axiom,
( ssList(sk7)
| ( nil = sk4 ) ),
file(unknown,unknown) ).
tff(f_250,axiom,
! [U] :
( ~ ssList(U)
| ( app(nil,U) = U ) ),
file(unknown,unknown) ).
tff(f_975,axiom,
! [U,V,W] :
( ( app(U,V) != W )
| ~ ssList(V)
| ~ ssList(U)
| ~ ssList(W)
| frontsegP(W,U) ),
file(unknown,unknown) ).
tff(f_784,axiom,
! [U,V] :
( ~ frontsegP(U,V)
| ~ frontsegP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( 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_334,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(V,U)) ),
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_245,axiom,
! [U] :
( ~ ssList(U)
| ( app(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_1710,axiom,
( ssList(sk6)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
tff(f_1673,axiom,
( ssItem(sk5)
| ( nil = sk3 ) ),
file(unknown,unknown) ).
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_433,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
tff(c_114,plain,
! [U_51] :
( segmentP(U_51,U_51)
| ~ ssList(U_51) ),
inference(cnfTransformation,[status(thm)],[f_161]) ).
tff(c_408,plain,
( ( sk3 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnfTransformation,[status(thm)],[f_1716]) ).
tff(c_418,plain,
( ( sk1 = nil )
| ( cons(sk5,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_408]) ).
tff(c_508,plain,
cons(sk5,nil) = sk1,
inference(splitLeft,[status(thm)],[c_418]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_388,plain,
( ( sk4 = nil )
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1670]) ).
tff(c_425,plain,
( ( sk2 = nil )
| ssItem(sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_388]) ).
tff(c_480,plain,
ssItem(sk5),
inference(splitLeft,[status(thm)],[c_425]) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_1207,plain,
! [V_437,U_438] :
( ~ ssList(V_437)
| ~ ssItem(U_438)
| ( cons(U_438,V_437) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_437]) ).
tff(c_1709,plain,
! [U_474] :
( ~ ssItem(U_474)
| ( cons(U_474,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1207]) ).
tff(c_1715,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_480,c_1709]) ).
tff(c_1769,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_508,c_1715]) ).
tff(c_200,plain,
! [V_102,U_101] :
( ( V_102 = U_101 )
| neq(V_102,U_101)
| ~ ssList(V_102)
| ~ ssList(U_101) ),
inference(cnfTransformation,[status(thm)],[f_456]) ).
tff(c_406,plain,
( ( sk3 = nil )
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1713]) ).
tff(c_415,plain,
( ( sk1 = nil )
| ssList(sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_406]) ).
tff(c_486,plain,
ssList(sk7),
inference(splitLeft,[status(thm)],[c_415]) ).
tff(c_392,plain,
( ( sk4 = nil )
| ssList(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1676]) ).
tff(c_426,plain,
( ( sk2 = nil )
| ssList(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_392]) ).
tff(c_482,plain,
ssList(sk6),
inference(splitLeft,[status(thm)],[c_426]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_432,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_410,plain,
( ( sk3 = nil )
| ( app(app(sk6,sk3),sk7) = sk4 ) ),
inference(cnfTransformation,[status(thm)],[f_1719]) ).
tff(c_420,plain,
( ( sk1 = nil )
| ( app(app(sk6,sk1),sk7) = sk4 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_410]) ).
tff(c_430,plain,
( ( sk1 = nil )
| ( app(app(sk6,sk1),sk7) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_420]) ).
tff(c_1618,plain,
app(app(sk6,sk1),sk7) = sk2,
inference(splitLeft,[status(thm)],[c_430]) ).
tff(c_10046,plain,
! [U_907,V_908,W_909] :
( segmentP(app(app(U_907,V_908),W_909),V_908)
| ~ ssList(app(app(U_907,V_908),W_909))
| ~ ssList(V_908)
| ~ ssList(U_907)
| ~ ssList(W_909) ),
inference(cnfTransformation,[status(thm)],[f_1371]) ).
tff(c_10234,plain,
( segmentP(sk2,sk1)
| ~ ssList(app(app(sk6,sk1),sk7))
| ~ ssList(sk1)
| ~ ssList(sk6)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_1618,c_10046]) ).
tff(c_10375,plain,
segmentP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_486,c_482,c_433,c_432,c_1618,c_10234]) ).
tff(c_384,plain,
! [A_327] :
( ~ segmentP(sk1,A_327)
| ~ segmentP(sk2,A_327)
| ~ neq(A_327,nil)
| ~ ssList(A_327) ),
inference(cnfTransformation,[status(thm)],[f_1662]) ).
tff(c_10404,plain,
( ~ segmentP(sk1,sk1)
| ~ neq(sk1,nil)
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_10375,c_384]) ).
tff(c_10413,plain,
( ~ segmentP(sk1,sk1)
| ~ neq(sk1,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_433,c_10404]) ).
tff(c_11686,plain,
~ neq(sk1,nil),
inference(splitLeft,[status(thm)],[c_10413]) ).
tff(c_11689,plain,
( ( sk1 = nil )
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_200,c_11686]) ).
tff(c_11695,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_433,c_11689]) ).
tff(c_11697,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1769,c_11695]) ).
tff(c_11698,plain,
~ segmentP(sk1,sk1),
inference(splitRight,[status(thm)],[c_10413]) ).
tff(c_11702,plain,
~ ssList(sk1),
inference(resolution,[status(thm)],[c_114,c_11698]) ).
tff(c_11706,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_433,c_11702]) ).
tff(c_11707,plain,
sk1 = nil,
inference(splitRight,[status(thm)],[c_430]) ).
tff(c_11718,plain,
cons(sk5,nil) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_11707,c_508]) ).
tff(c_11875,plain,
! [U_1075] :
( ~ ssItem(U_1075)
| ( cons(U_1075,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1207]) ).
tff(c_11881,plain,
cons(sk5,nil) != nil,
inference(resolution,[status(thm)],[c_480,c_11875]) ).
tff(c_11937,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_11718,c_11881]) ).
tff(c_11938,plain,
sk1 = nil,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_11939,plain,
cons(sk5,nil) != sk1,
inference(splitRight,[status(thm)],[c_418]) ).
tff(c_11951,plain,
cons(sk5,nil) != nil,
inference(demodulation,[status(thm),theory(equality)],[c_11938,c_11939]) ).
tff(c_386,plain,
( ( sk1 != nil )
| ( sk2 != nil ) ),
inference(cnfTransformation,[status(thm)],[f_1667]) ).
tff(c_484,plain,
sk2 != nil,
inference(splitLeft,[status(thm)],[c_386]) ).
tff(c_396,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk3 ) ),
inference(cnfTransformation,[status(thm)],[f_1682]) ).
tff(c_421,plain,
( ( sk4 = nil )
| ( cons(sk5,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_396]) ).
tff(c_427,plain,
( ( sk2 = nil )
| ( cons(sk5,nil) = sk1 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_421]) ).
tff(c_12369,plain,
( ( sk2 = nil )
| ( cons(sk5,nil) = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_11938,c_427]) ).
tff(c_12370,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_11951,c_484,c_12369]) ).
tff(c_12372,plain,
~ ssList(sk7),
inference(splitRight,[status(thm)],[c_415]) ).
tff(c_394,plain,
( ( sk4 = nil )
| ssList(sk7) ),
inference(cnfTransformation,[status(thm)],[f_1679]) ).
tff(c_424,plain,
( ( sk2 = nil )
| ssList(sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_394]) ).
tff(c_12389,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_12372,c_484,c_424]) ).
tff(c_12390,plain,
sk1 != nil,
inference(splitRight,[status(thm)],[c_386]) ).
tff(c_12687,plain,
! [U_1149] :
( ( app(nil,U_1149) = U_1149 )
| ~ ssList(U_1149) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_12811,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[c_433,c_12687]) ).
tff(c_16025,plain,
! [U_1417,V_1418] :
( frontsegP(app(U_1417,V_1418),U_1417)
| ~ ssList(app(U_1417,V_1418))
| ~ ssList(U_1417)
| ~ ssList(V_1418) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_16180,plain,
( frontsegP(sk1,nil)
| ~ ssList(app(nil,sk1))
| ~ ssList(nil)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_12811,c_16025]) ).
tff(c_16281,plain,
frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_433,c_16,c_433,c_12811,c_16180]) ).
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_16302,plain,
( ( sk1 = nil )
| ~ ssList(sk1)
| ~ ssList(nil)
| ~ frontsegP(nil,sk1) ),
inference(resolution,[status(thm)],[c_16281,c_258]) ).
tff(c_16305,plain,
( ( sk1 = nil )
| ~ frontsegP(nil,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_433,c_16302]) ).
tff(c_16306,plain,
~ frontsegP(nil,sk1),
inference(negUnitSimplification,[status(thm)],[c_12390,c_16305]) ).
tff(c_12403,plain,
ssList(sk7),
inference(negUnitSimplification,[status(thm)],[c_12390,c_415]) ).
tff(c_12810,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_12687]) ).
tff(c_16307,plain,
! [U_1419,V_1420] :
( rearsegP(app(U_1419,V_1420),V_1420)
| ~ ssList(app(U_1419,V_1420))
| ~ ssList(V_1420)
| ~ ssList(U_1419) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_16459,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_12810,c_16307]) ).
tff(c_16561,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_12810,c_16459]) ).
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_12788,plain,
app(nil,sk6) = sk6,
inference(resolution,[status(thm)],[c_482,c_12687]) ).
tff(c_16171,plain,
( frontsegP(sk6,nil)
| ~ ssList(app(nil,sk6))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_12788,c_16025]) ).
tff(c_16275,plain,
frontsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_482,c_16,c_482,c_12788,c_16171]) ).
tff(c_16596,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ frontsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_16275,c_258]) ).
tff(c_16599,plain,
( ( sk6 = nil )
| ~ frontsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_482,c_16596]) ).
tff(c_19542,plain,
~ frontsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_16599]) ).
tff(c_20053,plain,
! [W_1591,V_1592,U_1593] :
( ( app(app(W_1591,V_1592),U_1593) = app(W_1591,app(V_1592,U_1593)) )
| ~ ssList(W_1591)
| ~ ssList(V_1592)
| ~ ssList(U_1593) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_12391,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_386]) ).
tff(c_13653,plain,
( ( sk1 = nil )
| ( app(app(sk6,sk1),sk7) = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_12391,c_430]) ).
tff(c_13654,plain,
app(app(sk6,sk1),sk7) = nil,
inference(negUnitSimplification,[status(thm)],[c_12390,c_13653]) ).
tff(c_20090,plain,
( ( app(sk6,app(sk1,sk7)) = nil )
| ~ ssList(sk6)
| ~ ssList(sk1)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_20053,c_13654]) ).
tff(c_20276,plain,
app(sk6,app(sk1,sk7)) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_12403,c_433,c_482,c_20090]) ).
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_20907,plain,
( frontsegP(nil,sk6)
| ~ ssList(app(sk6,app(sk1,sk7)))
| ~ ssList(sk6)
| ~ ssList(app(sk1,sk7)) ),
inference(superposition,[status(thm),theory(equality)],[c_20276,c_288]) ).
tff(c_20933,plain,
( frontsegP(nil,sk6)
| ~ ssList(app(sk1,sk7)) ),
inference(demodulation,[status(thm),theory(equality)],[c_482,c_16,c_20276,c_20907]) ).
tff(c_20934,plain,
~ ssList(app(sk1,sk7)),
inference(negUnitSimplification,[status(thm)],[c_19542,c_20933]) ).
tff(c_20942,plain,
( ~ ssList(sk1)
| ~ ssList(sk7) ),
inference(resolution,[status(thm)],[c_170,c_20934]) ).
tff(c_20946,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_12403,c_433,c_20942]) ).
tff(c_20947,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_16599]) ).
tff(c_12557,plain,
! [U_1143] :
( ( app(U_1143,nil) = U_1143 )
| ~ ssList(U_1143) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_12658,plain,
app(sk6,nil) = sk6,
inference(resolution,[status(thm)],[c_482,c_12557]) ).
tff(c_16450,plain,
( rearsegP(sk6,nil)
| ~ ssList(app(sk6,nil))
| ~ ssList(nil)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_12658,c_16307]) ).
tff(c_16555,plain,
rearsegP(sk6,nil),
inference(demodulation,[status(thm),theory(equality)],[c_482,c_16,c_482,c_12658,c_16450]) ).
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_16642,plain,
( ( sk6 = nil )
| ~ ssList(sk6)
| ~ ssList(nil)
| ~ rearsegP(nil,sk6) ),
inference(resolution,[status(thm)],[c_16555,c_256]) ).
tff(c_16645,plain,
( ( sk6 = nil )
| ~ rearsegP(nil,sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_482,c_16642]) ).
tff(c_19498,plain,
~ rearsegP(nil,sk6),
inference(splitLeft,[status(thm)],[c_16645]) ).
tff(c_20949,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_20947,c_19498]) ).
tff(c_21002,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16561,c_20949]) ).
tff(c_21003,plain,
sk6 = nil,
inference(splitRight,[status(thm)],[c_16645]) ).
tff(c_21093,plain,
app(app(nil,sk1),sk7) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_21003,c_13654]) ).
tff(c_21104,plain,
app(sk1,sk7) = nil,
inference(demodulation,[status(thm),theory(equality)],[c_12811,c_21093]) ).
tff(c_21132,plain,
( frontsegP(nil,sk1)
| ~ ssList(app(sk1,sk7))
| ~ ssList(sk1)
| ~ ssList(sk7) ),
inference(superposition,[status(thm),theory(equality)],[c_21104,c_288]) ).
tff(c_21152,plain,
frontsegP(nil,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_12403,c_433,c_16,c_21104,c_21132]) ).
tff(c_21154,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_16306,c_21152]) ).
tff(c_21156,plain,
~ ssList(sk6),
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_21155,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_426]) ).
tff(c_21171,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_21155,c_386]) ).
tff(c_404,plain,
( ( sk3 = nil )
| ssList(sk6) ),
inference(cnfTransformation,[status(thm)],[f_1710]) ).
tff(c_416,plain,
( ( sk1 = nil )
| ssList(sk6) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_404]) ).
tff(c_21173,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_21156,c_21171,c_416]) ).
tff(c_21174,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_425]) ).
tff(c_21175,plain,
~ ssItem(sk5),
inference(splitRight,[status(thm)],[c_425]) ).
tff(c_390,plain,
( ( sk3 = nil )
| ssItem(sk5) ),
inference(cnfTransformation,[status(thm)],[f_1673]) ).
tff(c_423,plain,
( ( sk1 = nil )
| ssItem(sk5) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_390]) ).
tff(c_21187,plain,
sk1 = nil,
inference(negUnitSimplification,[status(thm)],[c_21175,c_423]) ).
tff(c_21210,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_21174,c_21187,c_386]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC071-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % 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
% 0.14/0.36 % Computer : n031.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Aug 3 22:04:59 EDT 2023
% 0.14/0.36 % CPUTime :
% 21.56/8.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 21.56/8.36
% 21.56/8.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 21.74/8.40
% 21.74/8.40 Inference rules
% 21.74/8.40 ----------------------
% 21.74/8.40 #Ref : 0
% 21.74/8.40 #Sup : 4490
% 21.74/8.40 #Fact : 0
% 21.74/8.40 #Define : 0
% 21.74/8.40 #Split : 32
% 21.74/8.40 #Chain : 0
% 21.74/8.40 #Close : 0
% 21.74/8.40
% 21.74/8.40 Ordering : KBO
% 21.74/8.40
% 21.74/8.40 Simplification rules
% 21.74/8.40 ----------------------
% 21.74/8.40 #Subsume : 340
% 21.74/8.40 #Demod : 4973
% 21.74/8.40 #Tautology : 1263
% 21.74/8.40 #SimpNegUnit : 55
% 21.74/8.40 #BackRed : 125
% 21.74/8.40
% 21.74/8.40 #Partial instantiations: 0
% 21.74/8.40 #Strategies tried : 1
% 21.74/8.40
% 21.74/8.40 Timing (in seconds)
% 21.74/8.40 ----------------------
% 21.74/8.41 Preprocessing : 0.91
% 21.74/8.41 Parsing : 0.45
% 21.74/8.41 CNF conversion : 0.07
% 21.74/8.41 Main loop : 6.39
% 21.74/8.41 Inferencing : 1.44
% 21.74/8.41 Reduction : 3.23
% 21.74/8.41 Demodulation : 2.46
% 21.74/8.41 BG Simplification : 0.11
% 21.74/8.41 Subsumption : 1.21
% 21.74/8.41 Abstraction : 0.10
% 21.74/8.41 MUC search : 0.00
% 21.74/8.41 Cooper : 0.00
% 21.74/8.41 Total : 7.37
% 21.74/8.41 Index Insertion : 0.00
% 21.74/8.41 Index Deletion : 0.00
% 21.74/8.41 Index Matching : 0.00
% 21.74/8.41 BG Taut test : 0.00
%------------------------------------------------------------------------------