TSTP Solution File: SWC378-1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC378-1 : 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 11:02:22 EDT 2023
% Result : Unsatisfiable 90.31s 74.01s
% Output : CNFRefutation 90.38s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 94
% Syntax : Number of formulae : 170 ( 42 unt; 75 typ; 0 def)
% Number of atoms : 243 ( 24 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 292 ( 144 ~; 148 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 4 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 : 74 (; 74 !; 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_1658,axiom,
( memberP(sk2,sk7)
| memberP(sk1,sk7) ),
file(unknown,unknown) ).
tff(f_1663,axiom,
( ~ memberP(sk2,sk7)
| ~ memberP(sk1,sk7) ),
file(unknown,unknown) ).
tff(f_1655,axiom,
ssItem(sk7),
file(unknown,unknown) ).
tff(f_1652,axiom,
ssList(sk6),
file(unknown,unknown) ).
tff(f_1650,axiom,
sk1 = sk3,
file(unknown,unknown) ).
tff(f_1647,axiom,
ssList(sk3),
file(unknown,unknown) ).
tff(f_1649,axiom,
sk2 = sk4,
file(unknown,unknown) ).
tff(f_1648,axiom,
ssList(sk4),
file(unknown,unknown) ).
tff(f_1653,axiom,
app(sk5,sk6) = sk4,
file(unknown,unknown) ).
tff(f_1651,axiom,
ssList(sk5),
file(unknown,unknown) ).
tff(f_1654,axiom,
app(sk6,sk5) = sk3,
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_334,axiom,
! [U,V] :
( ~ ssList(U)
| ~ ssList(V)
| ssList(app(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_138,axiom,
! [U,V] : ssList(skaf46(U,V)),
file(unknown,unknown) ).
tff(f_809,axiom,
! [U,V] :
( ~ rearsegP(U,V)
| ~ ssList(V)
| ~ ssList(U)
| ( app(skaf46(U,V),V) = U ) ),
file(unknown,unknown) ).
tff(f_940,axiom,
! [U,V,W] :
( ~ memberP(U,V)
| ~ ssList(U)
| ~ ssList(W)
| ~ ssItem(V)
| memberP(app(W,U),V) ),
file(unknown,unknown) ).
tff(f_1191,axiom,
! [U,V,W] :
( ~ memberP(app(U,V),W)
| ~ ssList(V)
| ~ ssList(U)
| ~ ssItem(W)
| memberP(V,W)
| memberP(U,W) ),
file(unknown,unknown) ).
tff(f_926,axiom,
! [U,V,W] :
( ~ memberP(U,V)
| ~ ssList(W)
| ~ ssList(U)
| ~ ssItem(V)
| memberP(app(U,W),V) ),
file(unknown,unknown) ).
tff(c_394,plain,
( memberP(sk1,sk7)
| memberP(sk2,sk7) ),
inference(cnfTransformation,[status(thm)],[f_1658]) ).
tff(c_474,plain,
memberP(sk2,sk7),
inference(splitLeft,[status(thm)],[c_394]) ).
tff(c_396,plain,
( ~ memberP(sk1,sk7)
| ~ memberP(sk2,sk7) ),
inference(cnfTransformation,[status(thm)],[f_1663]) ).
tff(c_477,plain,
~ memberP(sk1,sk7),
inference(demodulation,[status(thm),theory(equality)],[c_474,c_396]) ).
tff(c_392,plain,
ssItem(sk7),
inference(cnfTransformation,[status(thm)],[f_1655]) ).
tff(c_386,plain,
ssList(sk6),
inference(cnfTransformation,[status(thm)],[f_1652]) ).
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_400,plain,
ssList(sk1),
inference(demodulation,[status(thm),theory(equality)],[c_382,c_376]) ).
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_399,plain,
ssList(sk2),
inference(demodulation,[status(thm),theory(equality)],[c_380,c_378]) ).
tff(c_388,plain,
app(sk5,sk6) = sk4,
inference(cnfTransformation,[status(thm)],[f_1653]) ).
tff(c_398,plain,
app(sk5,sk6) = sk2,
inference(demodulation,[status(thm),theory(equality)],[c_380,c_388]) ).
tff(c_384,plain,
ssList(sk5),
inference(cnfTransformation,[status(thm)],[f_1651]) ).
tff(c_390,plain,
app(sk6,sk5) = sk3,
inference(cnfTransformation,[status(thm)],[f_1654]) ).
tff(c_397,plain,
app(sk6,sk5) = sk1,
inference(demodulation,[status(thm),theory(equality)],[c_382,c_390]) ).
tff(c_6934,plain,
! [W_782,V_783,U_784] :
( ( app(app(W_782,V_783),U_784) = app(W_782,app(V_783,U_784)) )
| ~ ssList(W_782)
| ~ ssList(V_783)
| ~ ssList(U_784) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_7107,plain,
! [U_784] :
( ( app(sk6,app(sk5,U_784)) = app(sk1,U_784) )
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ ssList(U_784) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_6934]) ).
tff(c_23194,plain,
! [U_1642] :
( ( app(sk6,app(sk5,U_1642)) = app(sk1,U_1642) )
| ~ ssList(U_1642) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_386,c_7107]) ).
tff(c_23252,plain,
( ( app(sk6,sk2) = app(sk1,sk6) )
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_398,c_23194]) ).
tff(c_23289,plain,
app(sk6,sk2) = app(sk1,sk6),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_23252]) ).
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_23333,plain,
( ssList(app(sk1,sk6))
| ~ ssList(sk6)
| ~ ssList(sk2) ),
inference(superposition,[status(thm),theory(equality)],[c_23289,c_170]) ).
tff(c_23364,plain,
ssList(app(sk1,sk6)),
inference(demodulation,[status(thm),theory(equality)],[c_399,c_386,c_23333]) ).
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_23324,plain,
( rearsegP(app(sk1,sk6),sk2)
| ~ ssList(app(sk6,sk2))
| ~ ssList(sk2)
| ~ ssList(sk6) ),
inference(superposition,[status(thm),theory(equality)],[c_23289,c_286]) ).
tff(c_23357,plain,
( rearsegP(app(sk1,sk6),sk2)
| ~ ssList(app(sk1,sk6)) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_399,c_23289,c_23324]) ).
tff(c_39225,plain,
rearsegP(app(sk1,sk6),sk2),
inference(demodulation,[status(thm),theory(equality)],[c_23364,c_23357]) ).
tff(c_100,plain,
! [U_41,V_42] : ssList(skaf46(U_41,V_42)),
inference(cnfTransformation,[status(thm)],[f_138]) ).
tff(c_262,plain,
! [U_160,V_161] :
( ( app(skaf46(U_160,V_161),V_161) = U_160 )
| ~ ssList(U_160)
| ~ ssList(V_161)
| ~ rearsegP(U_160,V_161) ),
inference(cnfTransformation,[status(thm)],[f_809]) ).
tff(c_4543,plain,
! [W_659,U_660,V_661] :
( memberP(app(W_659,U_660),V_661)
| ~ ssItem(V_661)
| ~ ssList(W_659)
| ~ ssList(U_660)
| ~ memberP(U_660,V_661) ),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_4546,plain,
! [U_160,V_661,V_161] :
( memberP(U_160,V_661)
| ~ ssItem(V_661)
| ~ ssList(skaf46(U_160,V_161))
| ~ ssList(V_161)
| ~ memberP(V_161,V_661)
| ~ ssList(U_160)
| ~ ssList(V_161)
| ~ rearsegP(U_160,V_161) ),
inference(superposition,[status(thm),theory(equality)],[c_262,c_4543]) ).
tff(c_62024,plain,
! [U_3120,V_3121,V_3122] :
( memberP(U_3120,V_3121)
| ~ ssItem(V_3121)
| ~ memberP(V_3122,V_3121)
| ~ ssList(U_3120)
| ~ ssList(V_3122)
| ~ rearsegP(U_3120,V_3122) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_4546]) ).
tff(c_62104,plain,
! [U_3120] :
( memberP(U_3120,sk7)
| ~ ssItem(sk7)
| ~ ssList(U_3120)
| ~ ssList(sk2)
| ~ rearsegP(U_3120,sk2) ),
inference(resolution,[status(thm)],[c_474,c_62024]) ).
tff(c_62213,plain,
! [U_3123] :
( memberP(U_3123,sk7)
| ~ ssList(U_3123)
| ~ rearsegP(U_3123,sk2) ),
inference(demodulation,[status(thm),theory(equality)],[c_399,c_392,c_62104]) ).
tff(c_62216,plain,
( memberP(app(sk1,sk6),sk7)
| ~ ssList(app(sk1,sk6)) ),
inference(resolution,[status(thm)],[c_39225,c_62213]) ).
tff(c_62334,plain,
memberP(app(sk1,sk6),sk7),
inference(demodulation,[status(thm),theory(equality)],[c_23364,c_62216]) ).
tff(c_316,plain,
! [U_233,W_235,V_234] :
( memberP(U_233,W_235)
| memberP(V_234,W_235)
| ~ ssItem(W_235)
| ~ ssList(U_233)
| ~ ssList(V_234)
| ~ memberP(app(U_233,V_234),W_235) ),
inference(cnfTransformation,[status(thm)],[f_1191]) ).
tff(c_62427,plain,
( memberP(sk1,sk7)
| memberP(sk6,sk7)
| ~ ssItem(sk7)
| ~ ssList(sk1)
| ~ ssList(sk6) ),
inference(resolution,[status(thm)],[c_62334,c_316]) ).
tff(c_62433,plain,
( memberP(sk1,sk7)
| memberP(sk6,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_400,c_392,c_62427]) ).
tff(c_62434,plain,
memberP(sk6,sk7),
inference(negUnitSimplification,[status(thm)],[c_477,c_62433]) ).
tff(c_4300,plain,
! [U_648,W_649,V_650] :
( memberP(app(U_648,W_649),V_650)
| ~ ssItem(V_650)
| ~ ssList(U_648)
| ~ ssList(W_649)
| ~ memberP(U_648,V_650) ),
inference(cnfTransformation,[status(thm)],[f_926]) ).
tff(c_4420,plain,
! [V_650] :
( memberP(sk1,V_650)
| ~ ssItem(V_650)
| ~ ssList(sk6)
| ~ ssList(sk5)
| ~ memberP(sk6,V_650) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_4300]) ).
tff(c_4498,plain,
! [V_650] :
( memberP(sk1,V_650)
| ~ ssItem(V_650)
| ~ memberP(sk6,V_650) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_386,c_4420]) ).
tff(c_62442,plain,
( memberP(sk1,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[c_62434,c_4498]) ).
tff(c_62451,plain,
memberP(sk1,sk7),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_62442]) ).
tff(c_62453,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_477,c_62451]) ).
tff(c_62455,plain,
~ memberP(sk2,sk7),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_67995,plain,
! [W_3479,V_3480,U_3481] :
( ( app(app(W_3479,V_3480),U_3481) = app(W_3479,app(V_3480,U_3481)) )
| ~ ssList(W_3479)
| ~ ssList(V_3480)
| ~ ssList(U_3481) ),
inference(cnfTransformation,[status(thm)],[f_1051]) ).
tff(c_68159,plain,
! [U_3481] :
( ( app(sk5,app(sk6,U_3481)) = app(sk2,U_3481) )
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ ssList(U_3481) ),
inference(superposition,[status(thm),theory(equality)],[c_398,c_67995]) ).
tff(c_83219,plain,
! [U_4364] :
( ( app(sk5,app(sk6,U_4364)) = app(sk2,U_4364) )
| ~ ssList(U_4364) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_384,c_68159]) ).
tff(c_83277,plain,
( ( app(sk5,sk1) = app(sk2,sk5) )
| ~ ssList(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_397,c_83219]) ).
tff(c_83314,plain,
app(sk5,sk1) = app(sk2,sk5),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_83277]) ).
tff(c_83358,plain,
( ssList(app(sk2,sk5))
| ~ ssList(sk5)
| ~ ssList(sk1) ),
inference(superposition,[status(thm),theory(equality)],[c_83314,c_170]) ).
tff(c_83389,plain,
ssList(app(sk2,sk5)),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_384,c_83358]) ).
tff(c_83349,plain,
( rearsegP(app(sk2,sk5),sk1)
| ~ ssList(app(sk5,sk1))
| ~ ssList(sk1)
| ~ ssList(sk5) ),
inference(superposition,[status(thm),theory(equality)],[c_83314,c_286]) ).
tff(c_83382,plain,
( rearsegP(app(sk2,sk5),sk1)
| ~ ssList(app(sk2,sk5)) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_400,c_83314,c_83349]) ).
tff(c_122257,plain,
rearsegP(app(sk2,sk5),sk1),
inference(demodulation,[status(thm),theory(equality)],[c_83389,c_83382]) ).
tff(c_62454,plain,
memberP(sk1,sk7),
inference(splitRight,[status(thm)],[c_394]) ).
tff(c_66275,plain,
! [W_3376,U_3377,V_3378] :
( memberP(app(W_3376,U_3377),V_3378)
| ~ ssItem(V_3378)
| ~ ssList(W_3376)
| ~ ssList(U_3377)
| ~ memberP(U_3377,V_3378) ),
inference(cnfTransformation,[status(thm)],[f_940]) ).
tff(c_66281,plain,
! [U_160,V_3378,V_161] :
( memberP(U_160,V_3378)
| ~ ssItem(V_3378)
| ~ ssList(skaf46(U_160,V_161))
| ~ ssList(V_161)
| ~ memberP(V_161,V_3378)
| ~ ssList(U_160)
| ~ ssList(V_161)
| ~ rearsegP(U_160,V_161) ),
inference(superposition,[status(thm),theory(equality)],[c_262,c_66275]) ).
tff(c_128829,plain,
! [U_5956,V_5957,V_5958] :
( memberP(U_5956,V_5957)
| ~ ssItem(V_5957)
| ~ memberP(V_5958,V_5957)
| ~ ssList(U_5956)
| ~ ssList(V_5958)
| ~ rearsegP(U_5956,V_5958) ),
inference(demodulation,[status(thm),theory(equality)],[c_100,c_66281]) ).
tff(c_128941,plain,
! [U_5956] :
( memberP(U_5956,sk7)
| ~ ssItem(sk7)
| ~ ssList(U_5956)
| ~ ssList(sk1)
| ~ rearsegP(U_5956,sk1) ),
inference(resolution,[status(thm)],[c_62454,c_128829]) ).
tff(c_129098,plain,
! [U_5959] :
( memberP(U_5959,sk7)
| ~ ssList(U_5959)
| ~ rearsegP(U_5959,sk1) ),
inference(demodulation,[status(thm),theory(equality)],[c_400,c_392,c_128941]) ).
tff(c_129101,plain,
( memberP(app(sk2,sk5),sk7)
| ~ ssList(app(sk2,sk5)) ),
inference(resolution,[status(thm)],[c_122257,c_129098]) ).
tff(c_129219,plain,
memberP(app(sk2,sk5),sk7),
inference(demodulation,[status(thm),theory(equality)],[c_83389,c_129101]) ).
tff(c_129316,plain,
( memberP(sk2,sk7)
| memberP(sk5,sk7)
| ~ ssItem(sk7)
| ~ ssList(sk2)
| ~ ssList(sk5) ),
inference(resolution,[status(thm)],[c_129219,c_316]) ).
tff(c_129328,plain,
( memberP(sk2,sk7)
| memberP(sk5,sk7) ),
inference(demodulation,[status(thm),theory(equality)],[c_384,c_399,c_392,c_129316]) ).
tff(c_129329,plain,
memberP(sk5,sk7),
inference(negUnitSimplification,[status(thm)],[c_62455,c_129328]) ).
tff(c_66877,plain,
! [U_3410,W_3411,V_3412] :
( memberP(app(U_3410,W_3411),V_3412)
| ~ ssItem(V_3412)
| ~ ssList(U_3410)
| ~ ssList(W_3411)
| ~ memberP(U_3410,V_3412) ),
inference(cnfTransformation,[status(thm)],[f_926]) ).
tff(c_66994,plain,
! [V_3412] :
( memberP(sk2,V_3412)
| ~ ssItem(V_3412)
| ~ ssList(sk5)
| ~ ssList(sk6)
| ~ memberP(sk5,V_3412) ),
inference(superposition,[status(thm),theory(equality)],[c_398,c_66877]) ).
tff(c_67073,plain,
! [V_3412] :
( memberP(sk2,V_3412)
| ~ ssItem(V_3412)
| ~ memberP(sk5,V_3412) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_384,c_66994]) ).
tff(c_129338,plain,
( memberP(sk2,sk7)
| ~ ssItem(sk7) ),
inference(resolution,[status(thm)],[c_129329,c_67073]) ).
tff(c_129353,plain,
memberP(sk2,sk7),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_129338]) ).
tff(c_129355,plain,
$false,
inference(negUnitSimplification,[status(thm)],[c_62455,c_129353]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC378-1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.13 % 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 21:42:23 EDT 2023
% 0.13/0.35 % CPUTime :
% 90.31/74.01 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 90.31/74.02
% 90.31/74.02 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 90.38/74.06
% 90.38/74.06 Inference rules
% 90.38/74.06 ----------------------
% 90.38/74.06 #Ref : 0
% 90.38/74.06 #Sup : 29756
% 90.38/74.06 #Fact : 0
% 90.38/74.06 #Define : 0
% 90.38/74.06 #Split : 151
% 90.38/74.06 #Chain : 0
% 90.38/74.06 #Close : 0
% 90.38/74.06
% 90.38/74.06 Ordering : KBO
% 90.38/74.06
% 90.38/74.06 Simplification rules
% 90.38/74.06 ----------------------
% 90.38/74.06 #Subsume : 6745
% 90.38/74.06 #Demod : 26641
% 90.38/74.06 #Tautology : 6496
% 90.38/74.06 #SimpNegUnit : 1325
% 90.38/74.06 #BackRed : 293
% 90.38/74.06
% 90.38/74.06 #Partial instantiations: 0
% 90.38/74.06 #Strategies tried : 1
% 90.38/74.06
% 90.38/74.06 Timing (in seconds)
% 90.38/74.06 ----------------------
% 90.38/74.07 Preprocessing : 0.85
% 90.38/74.07 Parsing : 0.44
% 90.38/74.07 CNF conversion : 0.07
% 90.38/74.07 Main loop : 72.14
% 90.38/74.07 Inferencing : 12.65
% 90.38/74.07 Reduction : 35.75
% 90.38/74.07 Demodulation : 26.05
% 90.38/74.07 BG Simplification : 0.23
% 90.38/74.07 Subsumption : 18.89
% 90.38/74.07 Abstraction : 0.54
% 90.38/74.07 MUC search : 0.00
% 90.38/74.07 Cooper : 0.00
% 90.38/74.07 Total : 73.06
% 90.38/74.07 Index Insertion : 0.00
% 90.38/74.07 Index Deletion : 0.00
% 90.38/74.07 Index Matching : 0.00
% 90.38/74.07 BG Taut test : 0.00
%------------------------------------------------------------------------------