TSTP Solution File: SWC204-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC204-1 : 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 : n025.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 11:01:36 EDT 2023
% Result : Unsatisfiable 22.13s 9.18s
% Output : CNFRefutation 22.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 94
% Syntax : Number of formulae : 182 ( 53 unt; 72 typ; 0 def)
% Number of atoms : 246 ( 73 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 280 ( 144 ~; 136 |; 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 : 58 (; 58 !; 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_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_456,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| neq(V,U)
| ( V = 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_1705,axiom,
( ~ neq(sk1,nil)
| ~ neq(sk4,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_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_62,axiom,
! [U] : ssItem(skaf83(U)),
file(unknown,unknown) ).
tff(f_64,axiom,
! [U] : ssList(skaf82(U)),
file(unknown,unknown) ).
tff(f_543,axiom,
! [U] :
( ~ ssList(U)
| ( cons(skaf83(U),skaf82(U)) = U )
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_420,axiom,
! [U,V] :
( ~ ssItem(U)
| ~ ssList(V)
| ( tl(cons(U,V)) = V ) ),
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_446,axiom,
! [U,V] :
( ( cons(U,V) != V )
| ~ ssItem(U)
| ~ ssList(V) ),
file(unknown,unknown) ).
tff(f_271,axiom,
! [U] :
( ~ ssList(U)
| ssList(tl(U))
| ( nil = U ) ),
file(unknown,unknown) ).
tff(f_334,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(V,U)) ),
file(unknown,unknown) ).
tff(f_1700,axiom,
! [A,B] :
( ~ ssList(A)
| ( sk4 = A )
| ~ ssList(B)
| ( tl(sk4) != B )
| ( app(sk3,B) != A )
| ~ neq(nil,sk4)
| ~ neq(sk4,nil) ),
file(unknown,unknown) ).
tff(f_784,axiom,
! [U,V] :
( ~ frontsegP(U,V)
| ~ frontsegP(V,U)
| ~ ssList(U)
| ~ ssList(V)
| ( V = U ) ),
file(unknown,unknown) ).
tff(c_16,plain,
ssList(nil),
inference(cnfTransformation,[status(thm)],[f_56]) ).
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_1622,plain,
! [V_468,U_469] :
( ( V_468 = U_469 )
| neq(V_468,U_469)
| ~ ssList(V_468)
| ~ ssList(U_469) ),
inference(cnfTransformation,[status(thm)],[f_456]) ).
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)
| ~ neq(sk1,nil) ),
inference(cnfTransformation,[status(thm)],[f_1705]) ).
tff(c_399,plain,
( ~ neq(sk2,nil)
| ~ neq(sk1,nil) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_394]) ).
tff(c_402,plain,
~ neq(sk1,nil),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_399]) ).
tff(c_1633,plain,
( ( sk1 = nil )
| ~ ssList(sk1)
| ~ ssList(nil) ),
inference(resolution,[status(thm)],[c_1622,c_402]) ).
tff(c_1640,plain,
sk1 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_16,c_406,c_1633]) ).
tff(c_1645,plain,
~ neq(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_1640,c_402]) ).
tff(c_472,plain,
! [U_392] :
( ( app(nil,U_392) = U_392 )
| ~ ssList(U_392) ),
inference(cnfTransformation,[status(thm)],[f_250]) ).
tff(c_592,plain,
app(nil,nil) = nil,
inference(resolution,[status(thm)],[c_16,c_472]) ).
tff(c_3870,plain,
! [U_659,V_660] :
( frontsegP(app(U_659,V_660),U_659)
| ~ ssList(app(U_659,V_660))
| ~ ssList(U_659)
| ~ ssList(V_660) ),
inference(cnfTransformation,[status(thm)],[f_975]) ).
tff(c_4007,plain,
( frontsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_592,c_3870]) ).
tff(c_4099,plain,
frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_592,c_4007]) ).
tff(c_3602,plain,
! [U_655,V_656] :
( rearsegP(app(U_655,V_656),V_656)
| ~ ssList(app(U_655,V_656))
| ~ ssList(V_656)
| ~ ssList(U_655) ),
inference(cnfTransformation,[status(thm)],[f_961]) ).
tff(c_3739,plain,
( rearsegP(nil,nil)
| ~ ssList(app(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(superposition,[status(thm),theory(equality)],[c_592,c_3602]) ).
tff(c_3831,plain,
rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_16,c_16,c_592,c_3739]) ).
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_24,plain,
! [U_1] : ssItem(skaf83(U_1)),
inference(cnfTransformation,[status(thm)],[f_62]) ).
tff(c_26,plain,
! [U_2] : ssList(skaf82(U_2)),
inference(cnfTransformation,[status(thm)],[f_64]) ).
tff(c_2495,plain,
! [U_535] :
( ( nil = U_535 )
| ( cons(skaf83(U_535),skaf82(U_535)) = U_535 )
| ~ ssList(U_535) ),
inference(cnfTransformation,[status(thm)],[f_543]) ).
tff(c_192,plain,
! [U_93,V_94] :
( ( tl(cons(U_93,V_94)) = V_94 )
| ~ ssList(V_94)
| ~ ssItem(U_93) ),
inference(cnfTransformation,[status(thm)],[f_420]) ).
tff(c_2501,plain,
! [U_535] :
( ( tl(U_535) = skaf82(U_535) )
| ~ ssList(skaf82(U_535))
| ~ ssItem(skaf83(U_535))
| ( nil = U_535 )
| ~ ssList(U_535) ),
inference(superposition,[status(thm),theory(equality)],[c_2495,c_192]) ).
tff(c_10748,plain,
! [U_1059] :
( ( tl(U_1059) = skaf82(U_1059) )
| ( nil = U_1059 )
| ~ ssList(U_1059) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_26,c_2501]) ).
tff(c_10879,plain,
( ( tl(sk2) = skaf82(sk2) )
| ( sk2 = nil ) ),
inference(resolution,[status(thm)],[c_405,c_10748]) ).
tff(c_10882,plain,
sk2 = nil,
inference(splitLeft,[status(thm)],[c_10879]) ).
tff(c_742,plain,
! [U_408] :
( ( app(U_408,nil) = U_408 )
| ~ ssList(U_408) ),
inference(cnfTransformation,[status(thm)],[f_245]) ).
tff(c_860,plain,
app(sk2,nil) = sk2,
inference(resolution,[status(thm)],[c_405,c_742]) ).
tff(c_3736,plain,
( rearsegP(sk2,nil)
| ~ ssList(app(sk2,nil))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_860,c_3602]) ).
tff(c_3829,plain,
rearsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_860,c_3736]) ).
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_3835,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ rearsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_3829,c_256]) ).
tff(c_3838,plain,
( ( sk2 = nil )
| ~ rearsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_3835]) ).
tff(c_6553,plain,
~ rearsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_3838]) ).
tff(c_10886,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_10882,c_6553]) ).
tff(c_10938,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3831,c_10886]) ).
tff(c_10940,plain,
sk2 != nil,
inference(splitRight,[status(thm)],[c_10879]) ).
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_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_1480,plain,
! [V_463,U_464] :
( ~ ssList(V_463)
| ~ ssItem(U_464)
| ( cons(U_464,V_463) != V_463 ) ),
inference(cnfTransformation,[status(thm)],[f_446]) ).
tff(c_10402,plain,
! [U_1038,U_1039] :
( ~ ssItem(U_1038)
| ( cons(U_1038,skaf82(U_1039)) != skaf82(U_1039) ) ),
inference(resolution,[status(thm)],[c_26,c_1480]) ).
tff(c_10405,plain,
! [U_117] :
( ~ ssItem(skaf83(U_117))
| ( skaf82(U_117) != U_117 )
| ( nil = U_117 )
| ~ ssList(U_117) ),
inference(superposition,[status(thm),theory(equality)],[c_218,c_10402]) ).
tff(c_10408,plain,
! [U_1040] :
( ( skaf82(U_1040) != U_1040 )
| ( nil = U_1040 )
| ~ ssList(U_1040) ),
inference(demodulation,[status(thm),theory(equality)],[c_24,c_10405]) ).
tff(c_10539,plain,
( ( skaf82(sk2) != sk2 )
| ( sk2 = nil ) ),
inference(resolution,[status(thm)],[c_405,c_10408]) ).
tff(c_10543,plain,
skaf82(sk2) != sk2,
inference(splitLeft,[status(thm)],[c_10539]) ).
tff(c_585,plain,
! [U_2] : ( app(nil,skaf82(U_2)) = skaf82(U_2) ),
inference(resolution,[status(thm)],[c_26,c_472]) ).
tff(c_10939,plain,
tl(sk2) = skaf82(sk2),
inference(splitRight,[status(thm)],[c_10879]) ).
tff(c_154,plain,
! [U_72] :
( ( nil = U_72 )
| ssList(tl(U_72))
| ~ ssList(U_72) ),
inference(cnfTransformation,[status(thm)],[f_271]) ).
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)
| ~ ssList(tl(sk4))
| ( app(sk3,tl(sk4)) = sk4 )
| ~ ssList(app(sk3,tl(sk4))) ),
inference(cnfTransformation,[status(thm)],[f_1700]) ).
tff(c_398,plain,
( ~ neq(sk4,nil)
| ~ neq(nil,sk4)
| ~ ssList(tl(sk4))
| ( app(sk1,tl(sk4)) = sk4 )
| ~ ssList(app(sk1,tl(sk4))) ),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_382,c_392]) ).
tff(c_400,plain,
( ~ neq(sk2,nil)
| ~ neq(nil,sk2)
| ~ ssList(tl(sk2))
| ( app(sk1,tl(sk2)) = sk2 )
| ~ ssList(app(sk1,tl(sk2))) ),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_380,c_380,c_380,c_380,c_380,c_398]) ).
tff(c_404,plain,
( ~ neq(nil,sk2)
| ~ ssList(tl(sk2))
| ( app(sk1,tl(sk2)) = sk2 )
| ~ ssList(app(sk1,tl(sk2))) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_400]) ).
tff(c_7606,plain,
( ~ neq(nil,sk2)
| ~ ssList(tl(sk2))
| ( app(nil,tl(sk2)) = sk2 )
| ~ ssList(app(nil,tl(sk2))) ),
inference(demodulation,[status(thm),theory(equality)],[c_1640,c_1640,c_404]) ).
tff(c_7607,plain,
~ ssList(app(nil,tl(sk2))),
inference(splitLeft,[status(thm)],[c_7606]) ).
tff(c_7610,plain,
( ~ ssList(nil)
| ~ ssList(tl(sk2)) ),
inference(resolution,[status(thm)],[c_170,c_7607]) ).
tff(c_7613,plain,
~ ssList(tl(sk2)),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_7610]) ).
tff(c_7616,plain,
( ( sk2 = nil )
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_154,c_7613]) ).
tff(c_7619,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_7616]) ).
tff(c_7622,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_7619,c_6553]) ).
tff(c_7674,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3831,c_7622]) ).
tff(c_7675,plain,
( ~ ssList(tl(sk2))
| ~ neq(nil,sk2)
| ( app(nil,tl(sk2)) = sk2 ) ),
inference(splitRight,[status(thm)],[c_7606]) ).
tff(c_22429,plain,
( ~ neq(nil,sk2)
| ( skaf82(sk2) = sk2 ) ),
inference(demodulation,[status(thm),theory(equality)],[c_585,c_10939,c_26,c_10939,c_7675]) ).
tff(c_22430,plain,
~ neq(nil,sk2),
inference(negUnitSimplification,[status(thm)],[c_10543,c_22429]) ).
tff(c_22436,plain,
( ( sk2 = nil )
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(resolution,[status(thm)],[c_200,c_22430]) ).
tff(c_22442,plain,
sk2 = nil,
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_22436]) ).
tff(c_22444,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_10940,c_22442]) ).
tff(c_22445,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_10539]) ).
tff(c_22449,plain,
~ rearsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_22445,c_6553]) ).
tff(c_22501,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3831,c_22449]) ).
tff(c_22502,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_3838]) ).
tff(c_590,plain,
app(nil,sk2) = sk2,
inference(resolution,[status(thm)],[c_405,c_472]) ).
tff(c_4010,plain,
( frontsegP(sk2,nil)
| ~ ssList(app(nil,sk2))
| ~ ssList(nil)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_590,c_3870]) ).
tff(c_4101,plain,
frontsegP(sk2,nil),
inference(demodulation,[status(thm),theory(equality)],[c_405,c_16,c_405,c_590,c_4010]) ).
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_4122,plain,
( ( sk2 = nil )
| ~ ssList(sk2)
| ~ ssList(nil)
| ~ frontsegP(nil,sk2) ),
inference(resolution,[status(thm)],[c_4101,c_258]) ).
tff(c_4125,plain,
( ( sk2 = nil )
| ~ frontsegP(nil,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_16,c_405,c_4122]) ).
tff(c_6552,plain,
~ frontsegP(nil,sk2),
inference(splitLeft,[status(thm)],[c_4125]) ).
tff(c_22504,plain,
~ frontsegP(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_22502,c_6552]) ).
tff(c_22555,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_4099,c_22504]) ).
tff(c_22556,plain,
sk2 = nil,
inference(splitRight,[status(thm)],[c_4125]) ).
tff(c_22603,plain,
neq(nil,nil),
inference(demodulation,[status(thm),theory(equality)],[c_22556,c_384]) ).
tff(c_22614,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_1645,c_22603]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC204-1 : 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
% 0.17/0.36 % Computer : n025.cluster.edu
% 0.17/0.36 % Model : x86_64 x86_64
% 0.17/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.36 % Memory : 8042.1875MB
% 0.17/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.36 % CPULimit : 300
% 0.17/0.36 % WCLimit : 300
% 0.17/0.36 % DateTime : Thu Aug 3 21:34:34 EDT 2023
% 0.17/0.36 % CPUTime :
% 22.13/9.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 22.21/9.19
% 22.21/9.19 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.21/9.23
% 22.21/9.23 Inference rules
% 22.21/9.23 ----------------------
% 22.21/9.23 #Ref : 0
% 22.21/9.23 #Sup : 4908
% 22.21/9.23 #Fact : 0
% 22.21/9.23 #Define : 0
% 22.21/9.23 #Split : 10
% 22.21/9.23 #Chain : 0
% 22.21/9.23 #Close : 0
% 22.21/9.23
% 22.21/9.23 Ordering : KBO
% 22.21/9.23
% 22.21/9.23 Simplification rules
% 22.21/9.23 ----------------------
% 22.21/9.23 #Subsume : 862
% 22.21/9.23 #Demod : 6056
% 22.21/9.23 #Tautology : 1914
% 22.21/9.23 #SimpNegUnit : 19
% 22.21/9.23 #BackRed : 263
% 22.21/9.23
% 22.21/9.23 #Partial instantiations: 0
% 22.21/9.23 #Strategies tried : 1
% 22.21/9.23
% 22.21/9.23 Timing (in seconds)
% 22.21/9.23 ----------------------
% 22.21/9.23 Preprocessing : 0.87
% 22.21/9.23 Parsing : 0.44
% 22.21/9.24 CNF conversion : 0.07
% 22.21/9.24 Main loop : 7.26
% 22.21/9.24 Inferencing : 1.80
% 22.21/9.24 Reduction : 3.39
% 22.21/9.24 Demodulation : 2.64
% 22.21/9.24 BG Simplification : 0.10
% 22.21/9.24 Subsumption : 1.52
% 22.21/9.24 Abstraction : 0.10
% 22.21/9.24 MUC search : 0.00
% 22.21/9.24 Cooper : 0.00
% 22.21/9.24 Total : 8.21
% 22.21/9.24 Index Insertion : 0.00
% 22.21/9.24 Index Deletion : 0.00
% 22.21/9.24 Index Matching : 0.00
% 22.21/9.24 BG Taut test : 0.00
%------------------------------------------------------------------------------