TSTP Solution File: SWC022-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC022-1 : 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 : n009.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 11:00:47 EDT 2023
% Result : Unsatisfiable 24.85s 11.02s
% Output : CNFRefutation 24.85s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 102
% Syntax : Number of formulae : 299 ( 111 unt; 72 typ; 0 def)
% Number of atoms : 488 ( 126 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 561 ( 300 ~; 261 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 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 : 53 ( 53 usr; 7 con; 0-2 aty)
% Number of variables : 100 (; 100 !; 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_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
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_961,axiom,
! [U,V,W] :
( ( app(U,V) != W )
| ~ ssList(U)
| ~ ssList(V)
| ~ ssList(W)
| rearsegP(W,V) ),
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_197,axiom,
! [U] :
( ~ ssItem(U)
| equalelemsP(cons(U,nil)) ),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
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_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = U ) ),
file(unknown,unknown) ).
tff(f_342,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ssList(cons(U,V)) ),
file(unknown,unknown) ).
tff(f_1653,axiom,
( neq(sk2,nil)
| neq(sk2,nil) ),
file(unknown,unknown) ).
tff(f_1725,axiom,
! [A,B] :
( ~ ssList(A)
| ( sk3 = A )
| ~ ssItem(B)
| ( cons(B,nil) != A )
| ( hd(sk4) != B )
| ~ 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_624,axiom,
! [U,V] :
( ( cons(U,nil) != V )
| ~ ssItem(U)
| ~ ssList(V)
| singletonP(V) ),
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_181,axiom,
! [U] :
( ~ ssList(U)
| frontsegP(U,U) ),
file(unknown,unknown) ).
tff(f_1705,axiom,
! [A] :
( ~ ssList(A)
| ~ neq(A,nil)
| ~ frontsegP(sk2,A)
| ~ frontsegP(sk1,A)
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_446,axiom,
! [U,V] :
( ( cons(U,V) != V )
| ~ ssItem(U)
| ~ ssList(V) ),
file(unknown,unknown) ).
tff(f_64,axiom,
! [U] : ssList(skaf82(U)),
file(unknown,unknown) ).
tff(f_428,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( hd(cons(U,V)) = U ) ),
file(unknown,unknown) ).
tff(f_666,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( app(cons(U,nil),V) = cons(U,V) ) ),
file(unknown,unknown) ).
tff(f_647,axiom,
! [U,V] :
( ( app(U,V) != nil )
| ~ ssList(V)
| ~ ssList(U)
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_62,axiom,
! [U] : ssItem(skaf83(U)),
file(unknown,unknown) ).
tff(f_543,axiom,
! [U] :
( ~ ssList(U)
| ( cons(skaf83(U),skaf82(U)) = U )
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_658,axiom,
! [U,V] :
( ( app(U,V) != nil )
| ~ ssList(V)
| ~ ssList(U)
| ( nil = V ) ),
file(unknown,unknown) ).
tff(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_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
tff(c_471,plain,
! [U_393] :
( ( app(nil,U_393) = U_393 )
| ~ ssList(U_393) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_590,plain,
app(nil,sk1) = sk1,
inference(resolution,[status(thm)],[c_406,c_471]) ).
tff(c_9884,plain,
! [U_993,V_994] :
( frontsegP(app(U_993,V_994),U_993)
| ~ ssList(app(U_993,V_994))
| ~ ssList(U_993)
| ~ ssList(V_994) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_10030,plain,
( frontsegP(sk1,nil)
| ~ ssList(app(nil,sk1))
| ~ ssList(nil)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_590,c_9884]) ).
tff(c_10128,plain,
frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_16,c_406,c_590,c_10030]) ).
tff(c_591,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_471]) ).
tff(c_10027,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_591,c_9884]) ).
tff(c_10126,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_591,c_10027]) ).
tff(c_10166,plain,
! [U_996,V_997] :
( rearsegP(app(U_996,V_997),V_997)
| ~ ssList(app(U_996,V_997))
| ~ ssList(V_997)
| ~ ssList(U_996) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_10309,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_591,c_10166]) ).
tff(c_10408,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_591,c_10309]) ).
tff(c_4015,plain,
! [U_672,V_673] :
( frontsegP(app(U_672,V_673),U_672)
| ~ ssList(app(U_672,V_673))
| ~ ssList(U_672)
| ~ ssList(V_673) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_4164,plain,
( frontsegP(sk1,nil)
| ~ ssList(app(nil,sk1))
| ~ ssList(nil)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_590,c_4015]) ).
tff(c_4264,plain,
frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_406,c_16,c_406,c_590,c_4164]) ).
tff(c_4161,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_591,c_4015]) ).
tff(c_4262,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_591,c_4161]) ).
tff(c_94,plain,
! [U_36] : ssItem(skaf44(U_36)),
inference(cnfTransformation,[status(thm)],[f_132]) ).
tff(c_1885,plain,
! [U_516] :
( ( cons(skaf44(U_516),nil) = U_516 )
| ~ ssList(U_516)
| ~ singletonP(U_516) ),
inference(cnfTransformation,[status(thm)],[f_464]) ).
tff(c_128,plain,
! [U_58] :
( equalelemsP(cons(U_58,nil))
| ~ ssItem(U_58) ),
inference(cnfTransformation,[status(thm)],[f_197]) ).
tff(c_1911,plain,
! [U_516] :
( equalelemsP(U_516)
| ~ ssItem(skaf44(U_516))
| ~ ssList(U_516)
| ~ singletonP(U_516) ),
inference(superposition,[status(thm),theory(equality)],[c_1885,c_128]) ).
tff(c_2005,plain,
! [U_526] :
( equalelemsP(U_526)
| ~ ssList(U_526)
| ~ singletonP(U_526) ),
inference(demodulation,[status(thm),theory(equality)],[c_94,c_1911]) ).
tff(c_2136,plain,
( equalelemsP(sk1)
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_406,c_2005]) ).
tff(c_2157,plain,
~ singletonP(sk1),
inference(splitLeft,[status(thm)],[c_2136]) ).
tff(c_3642,plain,
! [U_660,V_661] :
( rearsegP(app(U_660,V_661),V_661)
| ~ ssList(app(U_660,V_661))
| ~ ssList(V_661)
| ~ ssList(U_660) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_3782,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_591,c_3642]) ).
tff(c_3879,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_591,c_3782]) ).
tff(c_380,plain,
sk4 = sk2,
inference(cnfTransformation,[status(thm)],[f_1649]) ).
tff(c_378,plain,
ssList(sk4),
inference(cnfTransformation,[status(thm)],[f_1648]) ).
tff(c_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_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_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_384,plain,
neq(sk2,nil),
inference(cnfTransformation,[status(thm)],[f_1653]) ).
tff(c_394,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),nil) = sk3 )
| ~ ssList(cons(hd(sk4),nil)) ),
inference(cnfTransformation,[status(thm)],[f_1725]) ).
tff(c_398,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssItem(hd(sk4))
| ( cons(hd(sk4),nil) = sk1 )
| ~ ssList(cons(hd(sk4),nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_394]) ).
tff(c_400,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| ( cons(hd(sk2),nil) = sk1 )
| ~ ssList(cons(hd(sk2),nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_380,c_380,c_380,c_398]) ).
tff(c_404,plain,
( ~ neq(nil,sk2)
| ~ ssItem(hd(sk2))
| ( cons(hd(sk2),nil) = sk1 )
| ~ ssList(cons(hd(sk2),nil)) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_400]) ).
tff(c_7615,plain,
~ ssList(cons(hd(sk2),nil)),
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_7618,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2)) ),
inference(resolution,[status(thm)],[c_172,c_7615]) ).
tff(c_7621,plain,
~ ssItem(hd(sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_7618]) ).
tff(c_7624,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_7621]) ).
tff(c_7627,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_7624]) ).
tff(c_608,plain,
! [U_398] :
( ( app(U_398,nil) = U_398 )
| ~ ssList(U_398) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_726,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_405,c_608]) ).
tff(c_3779,plain,
( rearsegP(sk2,nil)
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_726,c_3642]) ).
tff(c_3877,plain,
rearsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_726,c_3779]) ).
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_3890,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ rearsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_3877,c_256]) ).
tff(c_3893,plain,
( ( sk2 = nil )
| ~ rearsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_3890]) ).
tff(c_7040,plain,
~ rearsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_3893]) ).
tff(c_7630,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_7627,c_7040]) ).
tff(c_7684,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3879,c_7630]) ).
tff(c_7685,plain,
( ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| ( cons(hd(sk2),nil) = sk1 ) ),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_7759,plain,
~ neq(nil,sk2),
inference(splitLeft,[status(thm)],[c_7685]) ).
tff(c_7762,plain,
( ( sk2 = nil )
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_200,c_7759]) ).
tff(c_7768,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_7762]) ).
tff(c_7773,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_7768,c_7040]) ).
tff(c_7827,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3879,c_7773]) ).
tff(c_7828,plain,
( ~ ssItem(hd(sk2))
| ( cons(hd(sk2),nil) = sk1 ) ),
inference(splitRight,[status(thm)],[c_7685]) ).
tff(c_8016,plain,
~ ssItem(hd(sk2)),
inference(splitLeft,[status(thm)],[c_7828]) ).
tff(c_8019,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_8016]) ).
tff(c_8022,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_8019]) ).
tff(c_8027,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_8022,c_7040]) ).
tff(c_8081,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3879,c_8027]) ).
tff(c_8083,plain,
ssItem(hd(sk2)),
inference(splitRight,[status(thm)],[c_7828]) ).
tff(c_8082,plain,
cons(hd(sk2),nil) = sk1,
inference(splitRight,[status(thm)],[c_7828]) ).
tff(c_2868,plain,
! [U_578] :
( singletonP(cons(U_578,nil))
| ~ ssList(cons(U_578,nil))
| ~ ssItem(U_578) ),
inference(cnfTransformation,[status(thm)],[f_624]) ).
tff(c_2875,plain,
! [U_82] :
( singletonP(cons(U_82,nil))
| ~ ssList(nil)
| ~ ssItem(U_82) ),
inference(resolution,[status(thm)],[c_172,c_2868]) ).
tff(c_2880,plain,
! [U_82] :
( singletonP(cons(U_82,nil))
| ~ ssItem(U_82) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_2875]) ).
tff(c_8191,plain,
( singletonP(sk1)
| ~ ssItem(hd(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_8082,c_2880]) ).
tff(c_8248,plain,
singletonP(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_8083,c_8191]) ).
tff(c_8250,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_2157,c_8248]) ).
tff(c_8251,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_3893]) ).
tff(c_589,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[c_405,c_471]) ).
tff(c_4167,plain,
( frontsegP(sk2,nil)
| ~ ssList(app(nil,sk2))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_589,c_4015]) ).
tff(c_4266,plain,
frontsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_589,c_4167]) ).
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_4292,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_4266,c_258]) ).
tff(c_4295,plain,
( ( sk2 = nil )
| ~ frontsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_4292]) ).
tff(c_6732,plain,
~ frontsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_4295]) ).
tff(c_8253,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_8251,c_6732]) ).
tff(c_8306,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4262,c_8253]) ).
tff(c_8307,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_4295]) ).
tff(c_122,plain,
! [U_55] :
( frontsegP(U_55,U_55)
| ~ ssList(U_55) ),
inference(cnfTransformation,[status(thm)],[f_181]) ).
tff(c_392,plain,
! [A_330] :
( ~ neq(sk4,nil)
| ~ frontsegP(sk1,A_330)
| ~ frontsegP(sk2,A_330)
| ~ neq(A_330,nil)
| ~ ssList(A_330) ),
inference(cnfTransformation,[status(thm)],[f_1705]) ).
tff(c_399,plain,
! [A_330] :
( ~ neq(sk2,nil)
| ~ frontsegP(sk1,A_330)
| ~ frontsegP(sk2,A_330)
| ~ neq(A_330,nil)
| ~ ssList(A_330) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_392]) ).
tff(c_3121,plain,
! [A_605] :
( ~ frontsegP(sk1,A_605)
| ~ frontsegP(sk2,A_605)
| ~ neq(A_605,nil)
| ~ ssList(A_605) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_399]) ).
tff(c_3132,plain,
( ~ frontsegP(sk1,sk2)
| ~ frontsegP(sk2,sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_384,c_3121]) ).
tff(c_3139,plain,
( ~ frontsegP(sk1,sk2)
| ~ frontsegP(sk2,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_3132]) ).
tff(c_3231,plain,
~ frontsegP(sk2,sk2),
inference(splitLeft,[status(thm)],[c_3139]) ).
tff(c_3234,plain,
~ ssList(sk2),
inference(resolution,[status(thm)],[c_122,c_3231]) ).
tff(c_3238,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_3234]) ).
tff(c_3239,plain,
~ frontsegP(sk1,sk2),
inference(splitRight,[status(thm)],[c_3139]) ).
tff(c_8313,plain,
~ frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_8307,c_3239]) ).
tff(c_8365,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4264,c_8313]) ).
tff(c_8367,plain,
singletonP(sk1),
inference(splitRight,[status(thm)],[c_2136]) ).
tff(c_1494,plain,
! [V_466,U_467] :
( ~ ssList(V_466)
| ~ ssItem(U_467)
| ( cons(U_467,V_466) != V_466 ) ),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_1663,plain,
! [U_474] :
( ~ ssItem(U_474)
| ( cons(U_474,nil) != nil ) ),
inference(resolution,[status(thm)],[c_16,c_1494]) ).
tff(c_1731,plain,
! [U_36] : ( cons(skaf44(U_36),nil) != nil ),
inference(resolution,[status(thm)],[c_94,c_1663]) ).
tff(c_14075,plain,
! [U_1189] :
( ( nil != U_1189 )
| ~ ssList(U_1189)
| ~ singletonP(U_1189) ),
inference(superposition,[status(thm),theory(equality)],[c_1885,c_1731]) ).
tff(c_14174,plain,
( ( sk1 != nil )
| ~ singletonP(sk1) ),
inference(resolution,[status(thm)],[c_406,c_14075]) ).
tff(c_14212,plain,
sk1 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_8367,c_14174]) ).
tff(c_727,plain,
app(sk1,nil) = sk1,
inference(resolution,[status(thm)],[c_406,c_608]) ).
tff(c_10021,plain,
( frontsegP(sk1,sk1)
| ~ ssList(app(sk1,nil))
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_727,c_9884]) ).
tff(c_10122,plain,
frontsegP(sk1,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_406,c_406,c_727,c_10021]) ).
tff(c_26,plain,
! [U_2] : ssList(skaf82(U_2)),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_13911,plain,
~ ssList(cons(hd(sk2),nil)),
inference(splitLeft,[status(thm)],[c_404]) ).
tff(c_13914,plain,
( ~ ssList(nil)
| ~ ssItem(hd(sk2)) ),
inference(resolution,[status(thm)],[c_172,c_13911]) ).
tff(c_13917,plain,
~ ssItem(hd(sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_13914]) ).
tff(c_13920,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_13917]) ).
tff(c_13923,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_13920]) ).
tff(c_10306,plain,
( rearsegP(sk2,nil)
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_726,c_10166]) ).
tff(c_10406,plain,
rearsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_726,c_10306]) ).
tff(c_10419,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ rearsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_10406,c_256]) ).
tff(c_10422,plain,
( ( sk2 = nil )
| ~ rearsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_10419]) ).
tff(c_13050,plain,
~ rearsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_10422]) ).
tff(c_13926,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_13923,c_13050]) ).
tff(c_13980,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10408,c_13926]) ).
tff(c_13981,plain,
( ~ ssItem(hd(sk2))
| ~ neq(nil,sk2)
| ( cons(hd(sk2),nil) = sk1 ) ),
inference(splitRight,[status(thm)],[c_404]) ).
tff(c_14215,plain,
~ neq(nil,sk2),
inference(splitLeft,[status(thm)],[c_13981]) ).
tff(c_14218,plain,
( ( sk2 = nil )
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_200,c_14215]) ).
tff(c_14224,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_14218]) ).
tff(c_14229,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_14224,c_13050]) ).
tff(c_14283,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10408,c_14229]) ).
tff(c_14284,plain,
( ~ ssItem(hd(sk2))
| ( cons(hd(sk2),nil) = sk1 ) ),
inference(splitRight,[status(thm)],[c_13981]) ).
tff(c_14361,plain,
~ ssItem(hd(sk2)),
inference(splitLeft,[status(thm)],[c_14284]) ).
tff(c_14364,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_156,c_14361]) ).
tff(c_14367,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_14364]) ).
tff(c_14372,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_14367,c_13050]) ).
tff(c_14426,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10408,c_14372]) ).
tff(c_14428,plain,
ssItem(hd(sk2)),
inference(splitRight,[status(thm)],[c_14284]) ).
tff(c_14427,plain,
cons(hd(sk2),nil) = sk1,
inference(splitRight,[status(thm)],[c_14284]) ).
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_14767,plain,
( ( hd(sk2) = hd(sk1) )
| ~ ssList(nil)
| ~ ssItem(hd(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_14427,c_194]) ).
tff(c_14822,plain,
hd(sk2) = hd(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_14428,c_16,c_14767]) ).
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_14755,plain,
! [V_139] :
( ( cons(hd(sk2),V_139) = app(sk1,V_139) )
| ~ ssList(V_139)
| ~ ssItem(hd(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_14427,c_240]) ).
tff(c_14813,plain,
! [V_139] :
( ( cons(hd(sk2),V_139) = app(sk1,V_139) )
| ~ ssList(V_139) ),
inference(demodulation,[status(thm),theory(equality)],[c_14428,c_14755]) ).
tff(c_21137,plain,
! [V_1724] :
( ( cons(hd(sk1),V_1724) = app(sk1,V_1724) )
| ~ ssList(V_1724) ),
inference(demodulation,[status(thm),theory(equality)],[c_14822,c_14813]) ).
tff(c_8411,plain,
! [U_865,V_866] :
( ( nil = U_865 )
| ~ ssList(U_865)
| ~ ssList(V_866)
| ( app(U_865,V_866) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_647]) ).
tff(c_8508,plain,
! [V_866] :
( ( sk2 = nil )
| ~ ssList(V_866)
| ( app(sk2,V_866) != nil ) ),
inference(resolution,[status(thm)],[c_405,c_8411]) ).
tff(c_17972,plain,
! [V_1436] :
( ~ ssList(V_1436)
| ( app(sk2,V_1436) != nil ) ),
inference(splitLeft,[status(thm)],[c_8508]) ).
tff(c_18071,plain,
app(sk2,nil) != nil,
inference(resolution,[status(thm)],[c_16,c_17972]) ).
tff(c_18105,plain,
sk2 != nil,
inference(demodulation,[status(thm),theory(equality)],[c_726,c_18071]) ).
tff(c_24,plain,
! [U_1] : ssItem(skaf83(U_1)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_8601,plain,
! [U_870] :
( ( nil = U_870 )
| ( cons(skaf83(U_870),skaf82(U_870)) = U_870 )
| ~ ssList(U_870) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_8610,plain,
! [U_870] :
( ( skaf83(U_870) = hd(U_870) )
| ~ ssList(skaf82(U_870))
| ~ ssItem(skaf83(U_870))
| ( nil = U_870 )
| ~ ssList(U_870) ),
inference(superposition,[status(thm),theory(equality)],[c_8601,c_194]) ).
tff(c_18453,plain,
! [U_1483] :
( ( skaf83(U_1483) = hd(U_1483) )
| ( nil = U_1483 )
| ~ ssList(U_1483) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_8610]) ).
tff(c_18546,plain,
( ( skaf83(sk2) = hd(sk2) )
| ( sk2 = nil ) ),
inference(resolution,[status(thm)],[c_405,c_18453]) ).
tff(c_18584,plain,
( ( skaf83(sk2) = hd(sk1) )
| ( sk2 = nil ) ),
inference(demodulation,[status(thm),theory(equality)],[c_14822,c_18546]) ).
tff(c_18585,plain,
skaf83(sk2) = hd(sk1),
inference(negUnitSimplification,[status(thm)],[c_18105,c_18584]) ).
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_18633,plain,
( ( sk2 = nil )
| ( cons(hd(sk1),skaf82(sk2)) = sk2 )
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_18585,c_218]) ).
tff(c_18646,plain,
( ( sk2 = nil )
| ( cons(hd(sk1),skaf82(sk2)) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_18633]) ).
tff(c_18647,plain,
cons(hd(sk1),skaf82(sk2)) = sk2,
inference(negUnitSimplification,[status(thm)],[c_18105,c_18646]) ).
tff(c_21186,plain,
( ( app(sk1,skaf82(sk2)) = sk2 )
| ~ ssList(skaf82(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_21137,c_18647]) ).
tff(c_21531,plain,
app(sk1,skaf82(sk2)) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_26,c_21186]) ).
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_21749,plain,
( frontsegP(sk2,sk1)
| ~ ssList(app(sk1,skaf82(sk2)))
| ~ ssList(sk1)
| ~ ssList(skaf82(sk2)) ),
inference(superposition,[status(thm),theory(equality)],[c_21531,c_288]) ).
tff(c_21781,plain,
frontsegP(sk2,sk1),
inference(demodulation,[status(thm),theory(equality)],[c_26,c_406,c_405,c_21531,c_21749]) ).
tff(c_9143,plain,
! [A_936] :
( ~ frontsegP(sk1,A_936)
| ~ frontsegP(sk2,A_936)
| ~ neq(A_936,nil)
| ~ ssList(A_936) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_399]) ).
tff(c_9147,plain,
! [V_102] :
( ~ frontsegP(sk1,V_102)
| ~ frontsegP(sk2,V_102)
| ( nil = V_102 )
| ~ ssList(V_102)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_200,c_9143]) ).
tff(c_28615,plain,
! [V_2043] :
( ~ frontsegP(sk1,V_2043)
| ~ frontsegP(sk2,V_2043)
| ( nil = V_2043 )
| ~ ssList(V_2043) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_9147]) ).
tff(c_28621,plain,
( ~ frontsegP(sk1,sk1)
| ( sk1 = nil )
| ~ ssList(sk1) ),
inference(resolution,[status(thm)],[c_21781,c_28615]) ).
tff(c_28642,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_406,c_10122,c_28621]) ).
tff(c_28644,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_14212,c_28642]) ).
tff(c_28645,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_8508]) ).
tff(c_8827,plain,
! [V_903,U_904] :
( ( nil = V_903 )
| ~ ssList(U_904)
| ~ ssList(V_903)
| ( app(U_904,V_903) != nil ) ),
inference(cnfTransformation,[status(thm)],[f_658]) ).
tff(c_17601,plain,
! [V_1410] :
( ( nil = V_1410 )
| ~ ssList(V_1410)
| ( app(sk2,V_1410) != nil ) ),
inference(resolution,[status(thm)],[c_405,c_8827]) ).
tff(c_17731,plain,
( ( sk2 = nil )
| ( app(sk2,sk2) != nil ) ),
inference(resolution,[status(thm)],[c_405,c_17601]) ).
tff(c_17738,plain,
app(sk2,sk2) != nil,
inference(splitLeft,[status(thm)],[c_17731]) ).
tff(c_28646,plain,
app(nil,nil) != nil,
inference(demodulation,[status(thm),theory(equality)],[c_28645,c_28645,c_17738]) ).
tff(c_28708,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_591,c_28646]) ).
tff(c_28709,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_17731]) ).
tff(c_28718,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_28709,c_13050]) ).
tff(c_28775,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10408,c_28718]) ).
tff(c_28776,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_10422]) ).
tff(c_10033,plain,
( frontsegP(sk2,nil)
| ~ ssList(app(nil,sk2))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_589,c_9884]) ).
tff(c_10130,plain,
frontsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_589,c_10033]) ).
tff(c_10156,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_10130,c_258]) ).
tff(c_10159,plain,
( ( sk2 = nil )
| ~ frontsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_10156]) ).
tff(c_13049,plain,
~ frontsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_10159]) ).
tff(c_28778,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_28776,c_13049]) ).
tff(c_28831,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10126,c_28778]) ).
tff(c_28832,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_10159]) ).
tff(c_9154,plain,
( ~ frontsegP(sk1,sk2)
| ~ frontsegP(sk2,sk2)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_384,c_9143]) ).
tff(c_9161,plain,
( ~ frontsegP(sk1,sk2)
| ~ frontsegP(sk2,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_9154]) ).
tff(c_9304,plain,
~ frontsegP(sk2,sk2),
inference(splitLeft,[status(thm)],[c_9161]) ).
tff(c_9307,plain,
~ ssList(sk2),
inference(resolution,[status(thm)],[c_122,c_9304]) ).
tff(c_9311,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_9307]) ).
tff(c_9312,plain,
~ frontsegP(sk1,sk2),
inference(splitRight,[status(thm)],[c_9161]) ).
tff(c_29140,plain,
~ frontsegP(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_28832,c_9312]) ).
tff(c_29192,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_10128,c_29140]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC022-1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/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
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Aug 3 21:17:08 EDT 2023
% 0.13/0.35 % CPUTime :
% 24.85/11.02 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 24.85/11.03
% 24.85/11.03 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 24.85/11.08
% 24.85/11.08 Inference rules
% 24.85/11.08 ----------------------
% 24.85/11.08 #Ref : 0
% 24.85/11.08 #Sup : 6117
% 24.85/11.08 #Fact : 0
% 24.85/11.08 #Define : 0
% 24.85/11.08 #Split : 26
% 24.85/11.08 #Chain : 0
% 24.85/11.08 #Close : 0
% 24.85/11.08
% 24.85/11.08 Ordering : KBO
% 24.85/11.08
% 24.85/11.08 Simplification rules
% 24.85/11.08 ----------------------
% 24.85/11.08 #Subsume : 891
% 24.85/11.08 #Demod : 8017
% 24.85/11.08 #Tautology : 1873
% 24.85/11.08 #SimpNegUnit : 47
% 24.85/11.08 #BackRed : 660
% 24.85/11.08
% 24.85/11.08 #Partial instantiations: 0
% 24.85/11.08 #Strategies tried : 1
% 24.85/11.08
% 24.85/11.08 Timing (in seconds)
% 24.85/11.08 ----------------------
% 24.85/11.09 Preprocessing : 0.87
% 24.85/11.09 Parsing : 0.45
% 24.85/11.09 CNF conversion : 0.07
% 24.85/11.09 Main loop : 9.13
% 24.85/11.09 Inferencing : 2.10
% 24.85/11.09 Reduction : 4.40
% 24.85/11.09 Demodulation : 3.34
% 24.85/11.09 BG Simplification : 0.11
% 24.85/11.09 Subsumption : 1.88
% 24.85/11.09 Abstraction : 0.11
% 24.85/11.09 MUC search : 0.00
% 24.85/11.09 Cooper : 0.00
% 24.85/11.09 Total : 10.07
% 24.85/11.09 Index Insertion : 0.00
% 24.85/11.09 Index Deletion : 0.00
% 24.85/11.09 Index Matching : 0.00
% 24.85/11.09 BG Taut test : 0.00
%------------------------------------------------------------------------------