TSTP Solution File: SWC366-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC366-1 : 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 : n003.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 11:02:19 EDT 2023
% Result : Unsatisfiable 16.01s 5.37s
% Output : CNFRefutation 16.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 91
% Syntax : Number of formulae : 176 ( 53 unt; 72 typ; 0 def)
% Number of atoms : 231 ( 48 equ)
% Maximal formula atoms : 9 ( 2 avg)
% Number of connectives : 273 ( 146 ~; 127 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 82 ( 65 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 44 (; 44 !; 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 > 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(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(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_56,axiom,
ssList(nil),
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_1653,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1717,axiom,
( ~ rearsegP(sk2,sk1)
| ~ neq(sk4,nil) ),
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_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_278,axiom,
! [U] :
( ~ ssList(U)
| ssItem(hd(U))
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_342,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ssList(cons(U,V)) ),
file(unknown,unknown) ).
tff(f_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
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_1712,axiom,
! [A,B,C] :
( ~ ssList(A)
| ( sk4 = A )
| ~ ssList(B)
| ( app(B,sk3) != A )
| ~ ssItem(C)
| ( cons(C,nil) != B )
| ( hd(sk4) != C )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
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_784,axiom,
! [U,V] :
( ~ frontsegP(U,V)
| ~ frontsegP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_613,axiom,
! [U,V] :
( ( U != V )
| ~ neq(U,V)
| ~ ssList(V)
| ~ ssList(U) ),
file(unknown,unknown) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_472,plain,
! [U_394] :
( ( app(nil,U_394) = U_394 )
| ~ ssList(U_394) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_592,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_472]) ).
tff(c_3950,plain,
! [U_671,V_672] :
( frontsegP(app(U_671,V_672),U_671)
| ~ ssList(app(U_671,V_672))
| ~ ssList(U_671)
| ~ ssList(V_672) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_4096,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_592,c_3950]) ).
tff(c_4197,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_592,c_4096]) ).
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_394,plain,
( ~ neq(sk4,nil)
| ~ rearsegP(sk2,sk1) ),
inference(cnfTransformation,[status(thm)],[f_1717]) ).
tff(c_399,plain,
( ~ neq(sk2,nil)
| ~ rearsegP(sk2,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_394]) ).
tff(c_402,plain,
~ rearsegP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_399]) ).
tff(c_3663,plain,
! [U_669,V_670] :
( rearsegP(app(U_669,V_670),V_670)
| ~ ssList(app(U_669,V_670))
| ~ ssList(V_670)
| ~ ssList(U_669) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_3809,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_592,c_3663]) ).
tff(c_3910,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_592,c_3809]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_405,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_156,plain,
! [U_73] :
( ( nil = U_73 )
| ssItem(hd(U_73))
| ~ ssList(U_73) ),
inference(cnfTransformation,[status(thm)],[f_278]) ).
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_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_382,plain,
sk3 = sk1,
inference(cnfTransformation,[status(thm)],[f_1650]) ).
tff(c_376,plain,
ssList(sk3),
inference(cnfTransformation,[status(thm)],[f_1647]) ).
tff(c_406,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_392,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(cons(hd(sk4),nil),sk3) = sk4 )
| ~ ssList(app(cons(hd(sk4),nil),sk3)) ),
inference(cnfTransformation,[status(thm)],[f_1712]) ).
tff(c_398,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ~ ssList(cons(hd(sk4),nil))
| ( app(cons(hd(sk4),nil),sk1) = sk4 )
| ~ ssList(app(cons(hd(sk4),nil),sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_392]) ).
tff(c_400,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ( app(cons(hd(sk2),nil),sk1) = sk2 )
| ~ ssList(app(cons(hd(sk2),nil),sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_380,c_380,c_380,c_380,c_380,c_398]) ).
tff(c_404,plain,
( ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ( app(cons(hd(sk2),nil),sk1) = sk2 )
| ~ ssList(app(cons(hd(sk2),nil),sk1)) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_400]) ).
tff(c_9579,plain,
~ ssList(app(cons(hd(sk2),nil),sk1)),
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_9585,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_170,c_9579]) ).
tff(c_9590,plain,
~ ssList(cons(hd(sk2),nil)),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_9585]) ).
tff(c_9593,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2)) ),
inference(resolution,[status(thm)],[c_172,c_9590]) ).
tff(c_9596,plain,
~ ssItem(hd(sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_9593]) ).
tff(c_9599,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_9596]) ).
tff(c_9602,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_9599]) ).
tff(c_742,plain,
! [U_410] :
( ( app(U_410,nil) = U_410 )
| ~ ssList(U_410) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_860,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_405,c_742]) ).
tff(c_3803,plain,
( rearsegP(sk2,nil)
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_860,c_3663]) ).
tff(c_3906,plain,
rearsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_860,c_3803]) ).
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_3916,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ rearsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_3906,c_256]) ).
tff(c_3919,plain,
( ( sk2 = nil )
| ~ rearsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_3916]) ).
tff(c_7230,plain,
~ rearsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_3919]) ).
tff(c_9700,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_9602,c_7230]) ).
tff(c_9753,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3910,c_9700]) ).
tff(c_9754,plain,
( ~ ssList(cons(hd(sk2),nil))
| ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| ( app(cons(hd(sk2),nil),sk1) = sk2 ) ),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_9827,plain,
~ neq(nil,sk2),
inference(splitLeft,[status(thm)],[c_9754]) ).
tff(c_9833,plain,
( ( sk2 = nil )
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_200,c_9827]) ).
tff(c_9837,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_9833]) ).
tff(c_9841,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_9837,c_7230]) ).
tff(c_9894,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3910,c_9841]) ).
tff(c_9895,plain,
( ~ ssItem(hd(sk2))
| ~ ssList(cons(hd(sk2),nil))
| ( app(cons(hd(sk2),nil),sk1) = sk2 ) ),
inference(splitRight,[status(thm)],[c_9754]) ).
tff(c_9996,plain,
~ ssList(cons(hd(sk2),nil)),
inference(splitLeft,[status(thm)],[c_9895]) ).
tff(c_9999,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2)) ),
inference(resolution,[status(thm)],[c_172,c_9996]) ).
tff(c_10002,plain,
~ ssItem(hd(sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_9999]) ).
tff(c_10005,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_10002]) ).
tff(c_10008,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_10005]) ).
tff(c_10014,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_10008,c_7230]) ).
tff(c_10067,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3910,c_10014]) ).
tff(c_10069,plain,
ssList(cons(hd(sk2),nil)),
inference(splitRight,[status(thm)],[c_9895]) ).
tff(c_10068,plain,
( ~ ssItem(hd(sk2))
| ( app(cons(hd(sk2),nil),sk1) = sk2 ) ),
inference(splitRight,[status(thm)],[c_9895]) ).
tff(c_10251,plain,
~ ssItem(hd(sk2)),
inference(splitLeft,[status(thm)],[c_10068]) ).
tff(c_10254,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_10251]) ).
tff(c_10257,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_10254]) ).
tff(c_10264,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_10257,c_7230]) ).
tff(c_10317,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3910,c_10264]) ).
tff(c_10318,plain,
app(cons(hd(sk2),nil),sk1) = sk2,
inference(splitRight,[status(thm)],[c_10068]) ).
tff(c_286,plain,
! [U_189,V_190] :
( rearsegP(app(U_189,V_190),V_190)
| ~ ssList(app(U_189,V_190))
| ~ ssList(V_190)
| ~ ssList(U_189) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_10496,plain,
( rearsegP(sk2,sk1)
| ~ ssList(app(cons(hd(sk2),nil),sk1))
| ~ ssList(sk1)
| ~ ssList(cons(hd(sk2),nil)) ),
inference(superposition,[status(thm),theory(equality)],[c_10318,c_286]) ).
tff(c_10532,plain,
rearsegP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_10069,c_406,c_405,c_10318,c_10496]) ).
tff(c_10534,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_402,c_10532]) ).
tff(c_10535,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_3919]) ).
tff(c_590,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[c_405,c_472]) ).
tff(c_4102,plain,
( frontsegP(sk2,nil)
| ~ ssList(app(nil,sk2))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_590,c_3950]) ).
tff(c_4201,plain,
frontsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_590,c_4102]) ).
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_4482,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_4201,c_258]) ).
tff(c_4485,plain,
( ( sk2 = nil )
| ~ frontsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_4482]) ).
tff(c_6920,plain,
~ frontsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_4485]) ).
tff(c_10537,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_10535,c_6920]) ).
tff(c_10589,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4197,c_10537]) ).
tff(c_10590,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_4485]) ).
tff(c_10638,plain,
neq(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_10590,c_384]) ).
tff(c_230,plain,
! [V_129] :
( ~ ssList(V_129)
| ~ neq(V_129,V_129) ),
inference(cnfTransformation,[status(thm)],[f_613]) ).
tff(c_10960,plain,
~ ssList(nil),
inference(resolution,[status(thm)],[c_10638,c_230]) ).
tff(c_10965,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_10960]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SWC366-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n003.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:19:23 EDT 2023
% 0.15/0.36 % CPUTime :
% 16.01/5.37 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 16.21/5.39
% 16.21/5.39 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 16.21/5.42
% 16.21/5.42 Inference rules
% 16.21/5.42 ----------------------
% 16.21/5.42 #Ref : 0
% 16.21/5.42 #Sup : 2234
% 16.21/5.42 #Fact : 0
% 16.21/5.42 #Define : 0
% 16.21/5.42 #Split : 13
% 16.21/5.42 #Chain : 0
% 16.21/5.42 #Close : 0
% 16.21/5.42
% 16.21/5.42 Ordering : KBO
% 16.21/5.42
% 16.21/5.42 Simplification rules
% 16.21/5.42 ----------------------
% 16.21/5.42 #Subsume : 198
% 16.21/5.42 #Demod : 2856
% 16.21/5.42 #Tautology : 558
% 16.21/5.42 #SimpNegUnit : 1
% 16.21/5.42 #BackRed : 322
% 16.21/5.42
% 16.21/5.43 #Partial instantiations: 0
% 16.21/5.43 #Strategies tried : 1
% 16.21/5.43
% 16.21/5.43 Timing (in seconds)
% 16.21/5.43 ----------------------
% 16.21/5.43 Preprocessing : 0.86
% 16.21/5.43 Parsing : 0.44
% 16.21/5.43 CNF conversion : 0.07
% 16.21/5.43 Main loop : 3.39
% 16.21/5.43 Inferencing : 0.81
% 16.21/5.43 Reduction : 1.60
% 16.21/5.43 Demodulation : 1.26
% 16.21/5.43 BG Simplification : 0.09
% 16.21/5.43 Subsumption : 0.68
% 16.21/5.43 Abstraction : 0.06
% 16.21/5.43 MUC search : 0.00
% 16.21/5.43 Cooper : 0.00
% 16.21/5.43 Total : 4.31
% 16.21/5.43 Index Insertion : 0.00
% 16.21/5.43 Index Deletion : 0.00
% 16.21/5.43 Index Matching : 0.00
% 16.21/5.43 BG Taut test : 0.00
%------------------------------------------------------------------------------