TSTP Solution File: SWW095+1 by Vampire---4.9
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW095+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n005.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 : Mon Jun 24 18:31:22 EDT 2024
% Result : Theorem 4.48s 1.12s
% Output : Refutation 4.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 25
% Number of leaves : 184
% Syntax : Number of formulae : 683 ( 34 unt; 0 def)
% Number of atoms : 5371 ( 943 equ)
% Maximal formula atoms : 521 ( 7 avg)
% Number of connectives : 7444 (2756 ~;2974 |;1630 &)
% ( 63 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 147 ( 145 usr; 92 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 14 con; 0-1 aty)
% Number of variables : 833 ( 616 !; 217 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f8767,plain,
$false,
inference(avatar_sat_refutation,[],[f1062,f1083,f1088,f1093,f1132,f1137,f1147,f1172,f1307,f1312,f1327,f1337,f1342,f1347,f1399,f1404,f1498,f1508,f1513,f2095,f2103,f2185,f2193,f2210,f2267,f2280,f2285,f2314,f2328,f2330,f2567,f2659,f2714,f2831,f2885,f2894,f3448,f3453,f4084,f4121,f4263,f5314,f5320,f5765,f5792,f5827,f5835,f5884,f5969,f6337,f6627,f6669,f6760,f7008,f7123,f7219,f7247,f7252,f7265,f7270,f7367,f7510,f7610,f7704,f7799,f7955,f8381,f8562,f8635,f8717]) ).
fof(f8717,plain,
( spl158_268
| ~ spl158_275
| ~ spl158_335
| ~ spl158_355 ),
inference(avatar_contradiction_clause,[],[f8716]) ).
fof(f8716,plain,
( $false
| spl158_268
| ~ spl158_275
| ~ spl158_335
| ~ spl158_355 ),
inference(subsumption_resolution,[],[f8700,f2512]) ).
fof(f2512,plain,
( ~ v__1(null,sK155,sK155)
| spl158_268 ),
inference(avatar_component_clause,[],[f2511]) ).
fof(f2511,plain,
( spl158_268
<=> v__1(null,sK155,sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_268])]) ).
fof(f8700,plain,
( v__1(null,sK155,sK155)
| ~ spl158_275
| ~ spl158_335
| ~ spl158_355 ),
inference(backward_demodulation,[],[f8666,f6755]) ).
fof(f6755,plain,
( null = sK96
| ~ spl158_335 ),
inference(avatar_component_clause,[],[f6753]) ).
fof(f6753,plain,
( spl158_335
<=> null = sK96 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_335])]) ).
fof(f8666,plain,
( v__1(sK96,sK155,sK155)
| ~ spl158_275
| ~ spl158_355 ),
inference(backward_demodulation,[],[f2658,f7185]) ).
fof(f7185,plain,
( sK96 = sK81(sK155)
| ~ spl158_355 ),
inference(avatar_component_clause,[],[f7183]) ).
fof(f7183,plain,
( spl158_355
<=> sK96 = sK81(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_355])]) ).
fof(f2658,plain,
( v__1(sK81(sK155),sK155,sK155)
| ~ spl158_275 ),
inference(avatar_component_clause,[],[f2656]) ).
fof(f2656,plain,
( spl158_275
<=> v__1(sK81(sK155),sK155,sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_275])]) ).
fof(f8635,plain,
( ~ spl158_22
| ~ spl158_257
| spl158_268
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_284 ),
inference(avatar_contradiction_clause,[],[f8634]) ).
fof(f8634,plain,
( $false
| ~ spl158_22
| ~ spl158_257
| spl158_268
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_284 ),
inference(subsumption_resolution,[],[f8623,f2512]) ).
fof(f8623,plain,
( v__1(null,sK155,sK155)
| ~ spl158_22
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_284 ),
inference(backward_demodulation,[],[f8549,f3514]) ).
fof(f3514,plain,
( null = sK82
| ~ spl158_284 ),
inference(avatar_component_clause,[],[f3512]) ).
fof(f3512,plain,
( spl158_284
<=> null = sK82 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_284])]) ).
fof(f8549,plain,
( v__1(sK82,sK155,sK155)
| ~ spl158_22
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275 ),
inference(backward_demodulation,[],[f2658,f8548]) ).
fof(f8548,plain,
( sK82 = sK81(sK155)
| ~ spl158_22
| ~ spl158_257
| spl158_272
| spl158_274 ),
inference(subsumption_resolution,[],[f8547,f2644]) ).
fof(f2644,plain,
( ~ sP52(sK155)
| spl158_272 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f2643,plain,
( spl158_272
<=> sP52(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_272])]) ).
fof(f8547,plain,
( sK82 = sK81(sK155)
| sP52(sK155)
| ~ spl158_22
| ~ spl158_257
| spl158_274 ),
inference(subsumption_resolution,[],[f8546,f2652]) ).
fof(f2652,plain,
( ~ sP51(sK155)
| spl158_274 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f2651,plain,
( spl158_274
<=> sP51(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_274])]) ).
fof(f8546,plain,
( sK82 = sK81(sK155)
| sP51(sK155)
| sP52(sK155)
| ~ spl158_22
| ~ spl158_257 ),
inference(resolution,[],[f8455,f2284]) ).
fof(f2284,plain,
( sP74(sK155)
| ~ spl158_257 ),
inference(avatar_component_clause,[],[f2282]) ).
fof(f2282,plain,
( spl158_257
<=> sP74(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_257])]) ).
fof(f8455,plain,
( ! [X0] :
( ~ sP74(X0)
| sK81(X0) = sK82
| sP51(X0)
| sP52(X0) )
| ~ spl158_22 ),
inference(backward_demodulation,[],[f482,f1136]) ).
fof(f1136,plain,
( node_next(nn) = sK82
| ~ spl158_22 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1134,plain,
( spl158_22
<=> node_next(nn) = sK82 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_22])]) ).
fof(f482,plain,
! [X0] :
( ~ sP74(X0)
| sP51(X0)
| node_next(nn) = sK81(X0)
| sP52(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( sP52(X0)
| sP51(X0)
| ( ( sP47(X0)
| ( node_next(nn) = sK80(X0)
& v__1(sK80(X0),X0,nn)
& object(sK80(X0)) ) )
& node_next(nn) = sK81(X0)
& v__1(sK81(X0),X0,X0)
& object(sK81(X0)) )
| ~ sP74(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK80,sK81])],[f207,f209,f208]) ).
fof(f208,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
=> ( node_next(nn) = sK80(X0)
& v__1(sK80(X0),X0,nn)
& object(sK80(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f209,plain,
! [X0] :
( ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,X0)
& object(X2) )
=> ( node_next(nn) = sK81(X0)
& v__1(sK81(X0),X0,X0)
& object(sK81(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f207,plain,
! [X0] :
( sP52(X0)
| sP51(X0)
| ( ( sP47(X0)
| ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) ) )
& ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,X0)
& object(X2) ) )
| ~ sP74(X0) ),
inference(rectify,[],[f206]) ).
fof(f206,plain,
! [X0] :
( sP52(X0)
| sP51(X0)
| ( ( sP47(X0)
| ? [X43] :
( node_next(nn) = X43
& v__1(X43,X0,nn)
& object(X43) ) )
& ? [X44] :
( node_next(nn) = X44
& v__1(X44,X0,X0)
& object(X44) ) )
| ~ sP74(X0) ),
inference(nnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( sP52(X0)
| sP51(X0)
| ( ( sP47(X0)
| ? [X43] :
( node_next(nn) = X43
& v__1(X43,X0,nn)
& object(X43) ) )
& ? [X44] :
( node_next(nn) = X44
& v__1(X44,X0,X0)
& object(X44) ) )
| ~ sP74(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP74])]) ).
fof(f8562,plain,
( ~ spl158_285
| ~ spl158_22
| ~ spl158_257
| spl158_272
| spl158_274
| spl158_357 ),
inference(avatar_split_clause,[],[f8551,f7216,f2651,f2643,f2282,f1134,f3516]) ).
fof(f3516,plain,
( spl158_285
<=> v__1(sortedList_first,sK82,sK82) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_285])]) ).
fof(f7216,plain,
( spl158_357
<=> v__1(sortedList_first,sK81(sK155),sK81(sK155)) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_357])]) ).
fof(f8551,plain,
( ~ v__1(sortedList_first,sK82,sK82)
| ~ spl158_22
| ~ spl158_257
| spl158_272
| spl158_274
| spl158_357 ),
inference(backward_demodulation,[],[f7218,f8548]) ).
fof(f7218,plain,
( ~ v__1(sortedList_first,sK81(sK155),sK81(sK155))
| spl158_357 ),
inference(avatar_component_clause,[],[f7216]) ).
fof(f8381,plain,
( spl158_284
| spl158_285
| ~ spl158_22 ),
inference(avatar_split_clause,[],[f8380,f1134,f3516,f3512]) ).
fof(f8380,plain,
( v__1(sortedList_first,sK82,sK82)
| null = sK82
| ~ spl158_22 ),
inference(subsumption_resolution,[],[f8379,f924]) ).
fof(f924,plain,
object(nn),
inference(cnf_transformation,[],[f6]) ).
fof(f6,axiom,
object(nn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f8379,plain,
( v__1(sortedList_first,sK82,sK82)
| null = sK82
| ~ object(nn)
| ~ spl158_22 ),
inference(subsumption_resolution,[],[f8264,f926]) ).
fof(f926,plain,
nn != null,
inference(cnf_transformation,[],[f28]) ).
fof(f28,axiom,
nn != null,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f8264,plain,
( v__1(sortedList_first,sK82,sK82)
| null = sK82
| nn = null
| ~ object(nn)
| ~ spl158_22 ),
inference(superposition,[],[f2341,f1136]) ).
fof(f2341,plain,
! [X0] :
( v__1(sortedList_first,node_next(X0),node_next(X0))
| null = node_next(X0)
| null = X0
| ~ object(X0) ),
inference(subsumption_resolution,[],[f1020,f951]) ).
fof(f951,plain,
! [X0] : object(node_next(X0)),
inference(cnf_transformation,[],[f68]) ).
fof(f68,plain,
! [X0] : object(node_next(X0)),
inference(rectify,[],[f14]) ).
fof(f14,axiom,
! [X3] : object(node_next(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1020,plain,
! [X0] :
( v__1(sortedList_first,node_next(X0),node_next(X0))
| null = node_next(X0)
| null = X0
| ~ object(node_next(X0))
| ~ object(X0) ),
inference(equality_resolution,[],[f966]) ).
fof(f966,plain,
! [X0,X1] :
( v__1(sortedList_first,X1,X1)
| node_next(X0) != X1
| null = X1
| null = X0
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f93]) ).
fof(f93,plain,
! [X0,X1] :
( ( v__1(sortedList_first,X1,X1)
& null != X1 )
| node_next(X0) != X1
| null = X1
| null = X0
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f92]) ).
fof(f92,plain,
! [X0,X1] :
( ( v__1(sortedList_first,X1,X1)
& null != X1 )
| node_next(X0) != X1
| null = X1
| null = X0
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,plain,
! [X0,X1] :
( ( v__1(sortedList_first,X1,X1)
& null != X1 )
| node_next(X0) != X1
| null = X1
| null = X0
| ~ ( object(X1)
& object(X0) ) ),
inference(rectify,[],[f45]) ).
fof(f45,axiom,
! [X40,X41] :
( ( v__1(sortedList_first,X41,X41)
& null != X41 )
| node_next(X40) != X41
| null = X41
| null = X40
| ~ ( object(X41)
& object(X40) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7955,plain,
( spl158_270
| ~ spl158_10
| ~ spl158_24
| ~ spl158_29
| ~ spl158_256 ),
inference(avatar_split_clause,[],[f7952,f2277,f1169,f1144,f1081,f2629]) ).
fof(f2629,plain,
( spl158_270
<=> sP73(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_270])]) ).
fof(f1081,plain,
( spl158_10
<=> ! [X0] :
( sP73(X0)
| ~ sP75(X0)
| sP71(X0)
| sP72(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_10])]) ).
fof(f1144,plain,
( spl158_24
<=> ! [X0] : ~ sP72(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_24])]) ).
fof(f1169,plain,
( spl158_29
<=> ! [X0] : ~ sP71(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_29])]) ).
fof(f2277,plain,
( spl158_256
<=> sP75(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_256])]) ).
fof(f7952,plain,
( sP73(sK155)
| ~ spl158_10
| ~ spl158_24
| ~ spl158_29
| ~ spl158_256 ),
inference(resolution,[],[f7804,f2279]) ).
fof(f2279,plain,
( sP75(sK155)
| ~ spl158_256 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f7804,plain,
( ! [X0] :
( ~ sP75(X0)
| sP73(X0) )
| ~ spl158_10
| ~ spl158_24
| ~ spl158_29 ),
inference(subsumption_resolution,[],[f7803,f1145]) ).
fof(f1145,plain,
( ! [X0] : ~ sP72(X0)
| ~ spl158_24 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f7803,plain,
( ! [X0] :
( sP73(X0)
| ~ sP75(X0)
| sP72(X0) )
| ~ spl158_10
| ~ spl158_29 ),
inference(subsumption_resolution,[],[f1082,f1170]) ).
fof(f1170,plain,
( ! [X0] : ~ sP71(X0)
| ~ spl158_29 ),
inference(avatar_component_clause,[],[f1169]) ).
fof(f1082,plain,
( ! [X0] :
( sP73(X0)
| ~ sP75(X0)
| sP71(X0)
| sP72(X0) )
| ~ spl158_10 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f7799,plain,
( spl158_20
| ~ spl158_22
| ~ spl158_98
| ~ spl158_99 ),
inference(avatar_contradiction_clause,[],[f7798]) ).
fof(f7798,plain,
( $false
| spl158_20
| ~ spl158_22
| ~ spl158_98
| ~ spl158_99 ),
inference(subsumption_resolution,[],[f7757,f1127]) ).
fof(f1127,plain,
( ~ v__1(sK82,prev_2,prev_2)
| spl158_20 ),
inference(avatar_component_clause,[],[f1125]) ).
fof(f1125,plain,
( spl158_20
<=> v__1(sK82,prev_2,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_20])]) ).
fof(f7757,plain,
( v__1(sK82,prev_2,prev_2)
| ~ spl158_22
| ~ spl158_98
| ~ spl158_99 ),
inference(backward_demodulation,[],[f1512,f7756]) ).
fof(f7756,plain,
( sK82 = sK112
| ~ spl158_22
| ~ spl158_98 ),
inference(backward_demodulation,[],[f1507,f1136]) ).
fof(f1507,plain,
( node_next(nn) = sK112
| ~ spl158_98 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1505,plain,
( spl158_98
<=> node_next(nn) = sK112 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_98])]) ).
fof(f1512,plain,
( v__1(sK112,prev_2,prev_2)
| ~ spl158_99 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1510,plain,
( spl158_99
<=> v__1(sK112,prev_2,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_99])]) ).
fof(f7704,plain,
( ~ spl158_96
| ~ spl158_257
| spl158_268
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_361 ),
inference(avatar_contradiction_clause,[],[f7703]) ).
fof(f7703,plain,
( $false
| ~ spl158_96
| ~ spl158_257
| spl158_268
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_361 ),
inference(subsumption_resolution,[],[f7679,f2512]) ).
fof(f7679,plain,
( v__1(null,sK155,sK155)
| ~ spl158_96
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_361 ),
inference(backward_demodulation,[],[f7597,f7505]) ).
fof(f7505,plain,
( null = sK111
| ~ spl158_361 ),
inference(avatar_component_clause,[],[f7503]) ).
fof(f7503,plain,
( spl158_361
<=> null = sK111 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_361])]) ).
fof(f7597,plain,
( v__1(sK111,sK155,sK155)
| ~ spl158_96
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275 ),
inference(backward_demodulation,[],[f2658,f7596]) ).
fof(f7596,plain,
( sK111 = sK81(sK155)
| ~ spl158_96
| ~ spl158_257
| spl158_272
| spl158_274 ),
inference(subsumption_resolution,[],[f7595,f2644]) ).
fof(f7595,plain,
( sK111 = sK81(sK155)
| sP52(sK155)
| ~ spl158_96
| ~ spl158_257
| spl158_274 ),
inference(subsumption_resolution,[],[f7594,f2652]) ).
fof(f7594,plain,
( sK111 = sK81(sK155)
| sP51(sK155)
| sP52(sK155)
| ~ spl158_96
| ~ spl158_257 ),
inference(resolution,[],[f7472,f2284]) ).
fof(f7472,plain,
( ! [X0] :
( ~ sP74(X0)
| sK81(X0) = sK111
| sP51(X0)
| sP52(X0) )
| ~ spl158_96 ),
inference(forward_demodulation,[],[f482,f1497]) ).
fof(f1497,plain,
( node_next(nn) = sK111
| ~ spl158_96 ),
inference(avatar_component_clause,[],[f1495]) ).
fof(f1495,plain,
( spl158_96
<=> node_next(nn) = sK111 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_96])]) ).
fof(f7610,plain,
( ~ spl158_362
| ~ spl158_96
| ~ spl158_257
| spl158_272
| spl158_274
| spl158_357 ),
inference(avatar_split_clause,[],[f7599,f7216,f2651,f2643,f2282,f1495,f7507]) ).
fof(f7507,plain,
( spl158_362
<=> v__1(sortedList_first,sK111,sK111) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_362])]) ).
fof(f7599,plain,
( ~ v__1(sortedList_first,sK111,sK111)
| ~ spl158_96
| ~ spl158_257
| spl158_272
| spl158_274
| spl158_357 ),
inference(backward_demodulation,[],[f7218,f7596]) ).
fof(f7510,plain,
( spl158_361
| spl158_362
| ~ spl158_96 ),
inference(avatar_split_clause,[],[f7501,f1495,f7507,f7503]) ).
fof(f7501,plain,
( v__1(sortedList_first,sK111,sK111)
| null = sK111
| ~ spl158_96 ),
inference(subsumption_resolution,[],[f7500,f924]) ).
fof(f7500,plain,
( v__1(sortedList_first,sK111,sK111)
| null = sK111
| ~ object(nn)
| ~ spl158_96 ),
inference(subsumption_resolution,[],[f7490,f926]) ).
fof(f7490,plain,
( v__1(sortedList_first,sK111,sK111)
| null = sK111
| nn = null
| ~ object(nn)
| ~ spl158_96 ),
inference(superposition,[],[f2341,f1497]) ).
fof(f7367,plain,
( ~ spl158_220
| ~ spl158_221
| spl158_252
| ~ spl158_255 ),
inference(avatar_contradiction_clause,[],[f7366]) ).
fof(f7366,plain,
( $false
| ~ spl158_220
| ~ spl158_221
| spl158_252
| ~ spl158_255 ),
inference(subsumption_resolution,[],[f7361,f923]) ).
fof(f923,plain,
object(prev_2),
inference(cnf_transformation,[],[f8]) ).
fof(f8,axiom,
object(prev_2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7361,plain,
( ~ object(prev_2)
| ~ spl158_220
| ~ spl158_221
| spl158_252
| ~ spl158_255 ),
inference(resolution,[],[f7333,f6689]) ).
fof(f6689,plain,
( ! [X0] :
( ~ v__1(sortedList_first,sK155,X0)
| ~ object(X0) )
| spl158_252 ),
inference(subsumption_resolution,[],[f6688,f921]) ).
fof(f921,plain,
object(sortedList_first),
inference(cnf_transformation,[],[f13]) ).
fof(f13,axiom,
object(sortedList_first),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6688,plain,
( ! [X0] :
( ~ v__1(sortedList_first,sK155,X0)
| ~ object(X0)
| ~ object(sortedList_first) )
| spl158_252 ),
inference(subsumption_resolution,[],[f6683,f900]) ).
fof(f900,plain,
object(sK155),
inference(cnf_transformation,[],[f457]) ).
fof(f457,plain,
( ( nn = sK155
| ~ v__1(sortedList_first,sK155,sK155)
| null = sK155 )
& ( ( sP75(sK155)
& sP74(sK155)
& ( sP44(sK155)
| sP46(sK155)
| sP45(sK155)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,sK155,sK155) )
| v__1(sortedList_first,sK155,nn) )
& v__1(sortedList_first,prev_2,sK155) ) )
& prev_2 != sK155 )
| sP76(sK155)
| sP77(sK155) )
& null != sK155
& object(sK155) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK155])],[f198,f456]) ).
fof(f456,plain,
( ? [X0] :
( ( nn = X0
| ~ v__1(sortedList_first,X0,X0)
| null = X0 )
& ( ( sP75(X0)
& sP74(X0)
& ( sP44(X0)
| sP46(X0)
| sP45(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,prev_2,X0) ) )
& prev_2 != X0 )
| sP76(X0)
| sP77(X0) )
& null != X0
& object(X0) )
=> ( ( nn = sK155
| ~ v__1(sortedList_first,sK155,sK155)
| null = sK155 )
& ( ( sP75(sK155)
& sP74(sK155)
& ( sP44(sK155)
| sP46(sK155)
| sP45(sK155)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,sK155,sK155) )
| v__1(sortedList_first,sK155,nn) )
& v__1(sortedList_first,prev_2,sK155) ) )
& prev_2 != sK155 )
| sP76(sK155)
| sP77(sK155) )
& null != sK155
& object(sK155) ) ),
introduced(choice_axiom,[]) ).
fof(f198,plain,
? [X0] :
( ( nn = X0
| ~ v__1(sortedList_first,X0,X0)
| null = X0 )
& ( ( sP75(X0)
& sP74(X0)
& ( sP44(X0)
| sP46(X0)
| sP45(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,prev_2,X0) ) )
& prev_2 != X0 )
| sP76(X0)
| sP77(X0) )
& null != X0
& object(X0) ),
inference(definition_folding,[],[f87,f197,f196,f195,f194,f193,f192,f191,f190,f189,f188,f187,f186,f185,f184,f183,f182,f181,f180,f179,f178,f177,f176,f175,f174,f173,f172,f171,f170,f169,f168,f167,f166,f165,f164,f163,f162,f161,f160,f159,f158,f157,f156,f155,f154,f153,f152,f151,f150,f149,f148,f147,f146,f145,f144,f143,f142,f141,f140,f139,f138,f137,f136,f135,f134,f133,f132,f131,f130,f129,f128,f127,f126,f125,f124,f123,f122,f121,f120]) ).
fof(f120,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP0(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f121,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP1(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f122,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP2(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f123,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP3(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f124,plain,
( ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| nn = prev_2
| ~ sP4 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f125,plain,
( ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2
| ~ sP5 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f126,plain,
! [X0] :
( ( sP5
& sP4
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ( sP3(X0)
| sP2(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) ) ) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f127,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f128,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f129,plain,
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP9 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f130,plain,
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP10 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f131,plain,
! [X0] :
( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,X0,nn)
| nn = X0
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f132,plain,
! [X0] :
( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| nn = X0
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f133,plain,
! [X0] :
( ( sP12(X0)
& sP11(X0)
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,X0,X0) )
& ( sP10
| sP9
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) ) ) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f134,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f135,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,prev_2,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f136,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f137,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f138,plain,
( ( ? [X74] :
( ~ v__1(X74,nn,nn)
& node_next(nn) = X74
& object(X74) )
& ? [X75] :
( node_next(nn) = X75
& v__1(X75,prev_2,prev_2)
& object(X75) ) )
| ~ sP18 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f139,plain,
( ( ? [X71] :
( ~ v__1(X71,prev_2,prev_2)
& node_next(nn) = X71
& object(X71) )
& ? [X72] :
( node_next(nn) = X72
& v__1(X72,nn,nn)
& object(X72) ) )
| ~ sP19 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f140,plain,
( sP19
| ? [X73] :
( node_next(nn) = X73
& v__1(X73,nn,prev_2)
& object(X73) )
| ~ sP20 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP20])]) ).
fof(f141,plain,
( ( ? [X67] :
( ~ v__1(X67,prev_2,prev_2)
& node_next(nn) = X67
& object(X67) )
& ? [X68] :
( node_next(nn) = X68
& v__1(X68,nn,nn)
& object(X68) ) )
| ~ sP21 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP21])]) ).
fof(f142,plain,
! [X0] :
( ( ? [X63] :
( ~ v__1(X63,nn,nn)
& node_next(nn) = X63
& object(X63) )
& ? [X64] :
( node_next(nn) = X64
& v__1(X64,X0,X0)
& object(X64) ) )
| ~ sP22(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP22])]) ).
fof(f143,plain,
! [X0] :
( ( ? [X60] :
( ~ v__1(X60,X0,X0)
& node_next(nn) = X60
& object(X60) )
& ? [X61] :
( node_next(nn) = X61
& v__1(X61,nn,nn)
& object(X61) ) )
| ~ sP23(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP23])]) ).
fof(f144,plain,
! [X0] :
( sP23(X0)
| ? [X62] :
( node_next(nn) = X62
& v__1(X62,nn,X0)
& object(X62) )
| ~ sP24(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP24])]) ).
fof(f145,plain,
! [X0] :
( ( ? [X56] :
( ~ v__1(X56,X0,X0)
& node_next(nn) = X56
& object(X56) )
& ? [X57] :
( node_next(nn) = X57
& v__1(X57,nn,nn)
& object(X57) ) )
| ~ sP25(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f146,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X59] :
( node_next(nn) = X59
& v__1(X59,X0,nn)
& object(X59) )
& sP24(X0)
& nn != X0 )
| ~ sP26(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f147,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP25(X0)
| ? [X58] :
( node_next(nn) = X58
& v__1(X58,nn,X0)
& object(X58) ) )
& nn != X0 )
| ~ sP27(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP27])]) ).
fof(f148,plain,
( ? [X53] :
( ~ v__1(X53,prev_2,prev_2)
& node_next(nn) = X53
& object(X53) )
| ~ sP28 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP28])]) ).
fof(f149,plain,
( ( ( ? [X52] :
( node_next(nn) = X52
& v__1(X52,nn,nn)
& object(X52) )
| sP28 )
& ? [X54] :
( ~ v__1(X54,prev_2,nn)
& node_next(nn) = X54
& object(X54) ) )
| ~ sP29 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP29])]) ).
fof(f150,plain,
( ? [X49] :
( ~ v__1(X49,nn,nn)
& node_next(nn) = X49
& object(X49) )
| ~ sP30 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP30])]) ).
fof(f151,plain,
( ( ( ? [X48] :
( node_next(nn) = X48
& v__1(X48,prev_2,prev_2)
& object(X48) )
| sP30 )
& ? [X50] :
( ~ v__1(X50,nn,prev_2)
& node_next(nn) = X50
& object(X50) ) )
| ~ sP31 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP31])]) ).
fof(f152,plain,
( ? [X46] :
( ~ v__1(X46,nn,nn)
& node_next(nn) = X46
& object(X46) )
| ~ sP32 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP32])]) ).
fof(f153,plain,
( ( ( ? [X45] :
( node_next(nn) = X45
& v__1(X45,prev_2,prev_2)
& object(X45) )
| sP32 )
& ? [X47] :
( ~ v__1(X47,nn,prev_2)
& node_next(nn) = X47
& object(X47) ) )
| ~ sP33 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP33])]) ).
fof(f154,plain,
! [X0] :
( sP27(X0)
| sP26(X0)
| ( ( sP22(X0)
| ? [X65] :
( node_next(nn) = X65
& v__1(X65,X0,nn)
& object(X65) ) )
& ? [X66] :
( node_next(nn) = X66
& v__1(X66,X0,X0)
& object(X66) ) )
| ~ sP34(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP34])]) ).
fof(f155,plain,
( sP31
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ? [X51] :
( ~ v__1(X51,prev_2,nn)
& node_next(nn) = X51
& object(X51) )
| nn = prev_2
| ~ sP35 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP35])]) ).
fof(f156,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ? [X70] :
( node_next(nn) = X70
& v__1(X70,X0,nn)
& object(X70) )
& sP20
& nn != prev_2 )
| ~ sP36(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP36])]) ).
fof(f157,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( sP21
| ? [X69] :
( node_next(nn) = X69
& v__1(X69,nn,prev_2)
& object(X69) ) )
& nn != prev_2 )
| ~ sP37(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP37])]) ).
fof(f158,plain,
! [X0] :
( ( ( sP33
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& sP35
& ( sP29
| ? [X55] :
( ~ v__1(X55,prev_2,prev_2)
& node_next(nn) = X55
& object(X55) ) )
& sP34(X0) )
| ~ sP38(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP38])]) ).
fof(f159,plain,
! [X0] :
( sP38(X0)
| sP37(X0)
| sP36(X0)
| ( ( sP18
| ? [X76] :
( node_next(nn) = X76
& v__1(X76,prev_2,nn)
& object(X76) ) )
& ? [X77] :
( node_next(nn) = X77
& v__1(X77,X0,prev_2)
& object(X77) ) )
| ~ sP39(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP39])]) ).
fof(f160,plain,
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP40 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP40])]) ).
fof(f161,plain,
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP41 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP41])]) ).
fof(f162,plain,
! [X0] :
( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,X0,nn)
| nn = X0
| ~ sP42(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP42])]) ).
fof(f163,plain,
! [X0] :
( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| nn = X0
| ~ sP43(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP43])]) ).
fof(f164,plain,
! [X0] :
( ( sP43(X0)
& sP42(X0)
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,X0,X0) )
& ( sP41
| sP40
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) ) ) )
| ~ sP44(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP44])]) ).
fof(f165,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP45(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP45])]) ).
fof(f166,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,prev_2,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP46(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP46])]) ).
fof(f167,plain,
! [X0] :
( ( ? [X41] :
( ~ v__1(X41,nn,nn)
& node_next(nn) = X41
& object(X41) )
& ? [X42] :
( node_next(nn) = X42
& v__1(X42,X0,X0)
& object(X42) ) )
| ~ sP47(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP47])]) ).
fof(f168,plain,
! [X0] :
( ( ? [X38] :
( ~ v__1(X38,X0,X0)
& node_next(nn) = X38
& object(X38) )
& ? [X39] :
( node_next(nn) = X39
& v__1(X39,nn,nn)
& object(X39) ) )
| ~ sP48(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP48])]) ).
fof(f169,plain,
! [X0] :
( sP48(X0)
| ? [X40] :
( node_next(nn) = X40
& v__1(X40,nn,X0)
& object(X40) )
| ~ sP49(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP49])]) ).
fof(f170,plain,
! [X0] :
( ( ? [X34] :
( ~ v__1(X34,X0,X0)
& node_next(nn) = X34
& object(X34) )
& ? [X35] :
( node_next(nn) = X35
& v__1(X35,nn,nn)
& object(X35) ) )
| ~ sP50(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP50])]) ).
fof(f171,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X37] :
( node_next(nn) = X37
& v__1(X37,X0,nn)
& object(X37) )
& sP49(X0)
& nn != X0 )
| ~ sP51(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP51])]) ).
fof(f172,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP50(X0)
| ? [X36] :
( node_next(nn) = X36
& v__1(X36,nn,X0)
& object(X36) ) )
& nn != X0 )
| ~ sP52(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP52])]) ).
fof(f173,plain,
( ( ? [X30] :
( ~ v__1(X30,nn,nn)
& node_next(nn) = X30
& object(X30) )
& ? [X31] :
( node_next(nn) = X31
& v__1(X31,prev_2,prev_2)
& object(X31) ) )
| ~ sP53 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP53])]) ).
fof(f174,plain,
( ( ? [X27] :
( ~ v__1(X27,prev_2,prev_2)
& node_next(nn) = X27
& object(X27) )
& ? [X28] :
( node_next(nn) = X28
& v__1(X28,nn,nn)
& object(X28) ) )
| ~ sP54 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP54])]) ).
fof(f175,plain,
( sP54
| ? [X29] :
( node_next(nn) = X29
& v__1(X29,nn,prev_2)
& object(X29) )
| ~ sP55 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP55])]) ).
fof(f176,plain,
( ( ? [X23] :
( ~ v__1(X23,prev_2,prev_2)
& node_next(nn) = X23
& object(X23) )
& ? [X24] :
( node_next(nn) = X24
& v__1(X24,nn,nn)
& object(X24) ) )
| ~ sP56 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP56])]) ).
fof(f177,plain,
! [X0] :
( ( ? [X19] :
( ~ v__1(X19,nn,nn)
& node_next(nn) = X19
& object(X19) )
& ? [X20] :
( node_next(nn) = X20
& v__1(X20,X0,X0)
& object(X20) ) )
| ~ sP57(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP57])]) ).
fof(f178,plain,
! [X0] :
( ( ? [X16] :
( ~ v__1(X16,X0,X0)
& node_next(nn) = X16
& object(X16) )
& ? [X17] :
( node_next(nn) = X17
& v__1(X17,nn,nn)
& object(X17) ) )
| ~ sP58(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP58])]) ).
fof(f179,plain,
! [X0] :
( sP58(X0)
| ? [X18] :
( node_next(nn) = X18
& v__1(X18,nn,X0)
& object(X18) )
| ~ sP59(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP59])]) ).
fof(f180,plain,
! [X0] :
( ( ? [X12] :
( ~ v__1(X12,X0,X0)
& node_next(nn) = X12
& object(X12) )
& ? [X13] :
( node_next(nn) = X13
& v__1(X13,nn,nn)
& object(X13) ) )
| ~ sP60(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP60])]) ).
fof(f181,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X15] :
( node_next(nn) = X15
& v__1(X15,X0,nn)
& object(X15) )
& sP59(X0)
& nn != X0 )
| ~ sP61(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP61])]) ).
fof(f182,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP60(X0)
| ? [X14] :
( node_next(nn) = X14
& v__1(X14,nn,X0)
& object(X14) ) )
& nn != X0 )
| ~ sP62(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP62])]) ).
fof(f183,plain,
( ? [X9] :
( ~ v__1(X9,prev_2,prev_2)
& node_next(nn) = X9
& object(X9) )
| ~ sP63 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP63])]) ).
fof(f184,plain,
( ( ( ? [X8] :
( node_next(nn) = X8
& v__1(X8,nn,nn)
& object(X8) )
| sP63 )
& ? [X10] :
( ~ v__1(X10,prev_2,nn)
& node_next(nn) = X10
& object(X10) ) )
| ~ sP64 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP64])]) ).
fof(f185,plain,
( ? [X5] :
( ~ v__1(X5,nn,nn)
& node_next(nn) = X5
& object(X5) )
| ~ sP65 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP65])]) ).
fof(f186,plain,
( ( ( ? [X4] :
( node_next(nn) = X4
& v__1(X4,prev_2,prev_2)
& object(X4) )
| sP65 )
& ? [X6] :
( ~ v__1(X6,nn,prev_2)
& node_next(nn) = X6
& object(X6) ) )
| ~ sP66 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP66])]) ).
fof(f187,plain,
( ? [X2] :
( ~ v__1(X2,nn,nn)
& node_next(nn) = X2
& object(X2) )
| ~ sP67 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP67])]) ).
fof(f188,plain,
( ( ( ? [X1] :
( node_next(nn) = X1
& v__1(X1,prev_2,prev_2)
& object(X1) )
| sP67 )
& ? [X3] :
( ~ v__1(X3,nn,prev_2)
& node_next(nn) = X3
& object(X3) ) )
| ~ sP68 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP68])]) ).
fof(f189,plain,
! [X0] :
( sP62(X0)
| sP61(X0)
| ( ( sP57(X0)
| ? [X21] :
( node_next(nn) = X21
& v__1(X21,X0,nn)
& object(X21) ) )
& ? [X22] :
( node_next(nn) = X22
& v__1(X22,X0,X0)
& object(X22) ) )
| ~ sP69(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP69])]) ).
fof(f190,plain,
( sP66
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ? [X7] :
( ~ v__1(X7,prev_2,nn)
& node_next(nn) = X7
& object(X7) )
| nn = prev_2
| ~ sP70 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP70])]) ).
fof(f191,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ? [X26] :
( node_next(nn) = X26
& v__1(X26,X0,nn)
& object(X26) )
& sP55
& nn != prev_2 )
| ~ sP71(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP71])]) ).
fof(f192,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( sP56
| ? [X25] :
( node_next(nn) = X25
& v__1(X25,nn,prev_2)
& object(X25) ) )
& nn != prev_2 )
| ~ sP72(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP72])]) ).
fof(f193,plain,
! [X0] :
( ( ( sP68
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& sP70
& ( sP64
| ? [X11] :
( ~ v__1(X11,prev_2,prev_2)
& node_next(nn) = X11
& object(X11) ) )
& sP69(X0) )
| ~ sP73(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP73])]) ).
fof(f195,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| ( ( sP53
| ? [X32] :
( node_next(nn) = X32
& v__1(X32,prev_2,nn)
& object(X32) ) )
& ? [X33] :
( node_next(nn) = X33
& v__1(X33,X0,prev_2)
& object(X33) ) )
| ~ sP75(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP75])]) ).
fof(f196,plain,
! [X0] :
( ( sP39(X0)
& ( sP17(X0)
| sP16(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,X0,prev_2) ) )
& ( sP13(X0)
| sP15(X0)
| sP14(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,prev_2,X0) ) )
& prev_2 != X0 )
| ~ sP76(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP76])]) ).
fof(f197,plain,
! [X0] :
( ( ( sP6(X0)
| sP8(X0)
| sP7(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,X0,prev_2) ) )
& ( sP1(X0)
| sP0(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) ) ) )
| ~ sP77(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP77])]) ).
fof(f87,plain,
? [X0] :
( ( nn = X0
| ~ v__1(sortedList_first,X0,X0)
| null = X0 )
& ( ( ( ( ( ( ( ? [X1] :
( node_next(nn) = X1
& v__1(X1,prev_2,prev_2)
& object(X1) )
| ? [X2] :
( ~ v__1(X2,nn,nn)
& node_next(nn) = X2
& object(X2) ) )
& ? [X3] :
( ~ v__1(X3,nn,prev_2)
& node_next(nn) = X3
& object(X3) ) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& ( ( ( ? [X4] :
( node_next(nn) = X4
& v__1(X4,prev_2,prev_2)
& object(X4) )
| ? [X5] :
( ~ v__1(X5,nn,nn)
& node_next(nn) = X5
& object(X5) ) )
& ? [X6] :
( ~ v__1(X6,nn,prev_2)
& node_next(nn) = X6
& object(X6) ) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ? [X7] :
( ~ v__1(X7,prev_2,nn)
& node_next(nn) = X7
& object(X7) )
| nn = prev_2 )
& ( ( ( ? [X8] :
( node_next(nn) = X8
& v__1(X8,nn,nn)
& object(X8) )
| ? [X9] :
( ~ v__1(X9,prev_2,prev_2)
& node_next(nn) = X9
& object(X9) ) )
& ? [X10] :
( ~ v__1(X10,prev_2,nn)
& node_next(nn) = X10
& object(X10) ) )
| ? [X11] :
( ~ v__1(X11,prev_2,prev_2)
& node_next(nn) = X11
& object(X11) ) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ? [X12] :
( ~ v__1(X12,X0,X0)
& node_next(nn) = X12
& object(X12) )
& ? [X13] :
( node_next(nn) = X13
& v__1(X13,nn,nn)
& object(X13) ) )
| ? [X14] :
( node_next(nn) = X14
& v__1(X14,nn,X0)
& object(X14) ) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X15] :
( node_next(nn) = X15
& v__1(X15,X0,nn)
& object(X15) )
& ( ( ? [X16] :
( ~ v__1(X16,X0,X0)
& node_next(nn) = X16
& object(X16) )
& ? [X17] :
( node_next(nn) = X17
& v__1(X17,nn,nn)
& object(X17) ) )
| ? [X18] :
( node_next(nn) = X18
& v__1(X18,nn,X0)
& object(X18) ) )
& nn != X0 )
| ( ( ( ? [X19] :
( ~ v__1(X19,nn,nn)
& node_next(nn) = X19
& object(X19) )
& ? [X20] :
( node_next(nn) = X20
& v__1(X20,X0,X0)
& object(X20) ) )
| ? [X21] :
( node_next(nn) = X21
& v__1(X21,X0,nn)
& object(X21) ) )
& ? [X22] :
( node_next(nn) = X22
& v__1(X22,X0,X0)
& object(X22) ) ) ) )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ? [X23] :
( ~ v__1(X23,prev_2,prev_2)
& node_next(nn) = X23
& object(X23) )
& ? [X24] :
( node_next(nn) = X24
& v__1(X24,nn,nn)
& object(X24) ) )
| ? [X25] :
( node_next(nn) = X25
& v__1(X25,nn,prev_2)
& object(X25) ) )
& nn != prev_2 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ? [X26] :
( node_next(nn) = X26
& v__1(X26,X0,nn)
& object(X26) )
& ( ( ? [X27] :
( ~ v__1(X27,prev_2,prev_2)
& node_next(nn) = X27
& object(X27) )
& ? [X28] :
( node_next(nn) = X28
& v__1(X28,nn,nn)
& object(X28) ) )
| ? [X29] :
( node_next(nn) = X29
& v__1(X29,nn,prev_2)
& object(X29) ) )
& nn != prev_2 )
| ( ( ( ? [X30] :
( ~ v__1(X30,nn,nn)
& node_next(nn) = X30
& object(X30) )
& ? [X31] :
( node_next(nn) = X31
& v__1(X31,prev_2,prev_2)
& object(X31) ) )
| ? [X32] :
( node_next(nn) = X32
& v__1(X32,prev_2,nn)
& object(X32) ) )
& ? [X33] :
( node_next(nn) = X33
& v__1(X33,X0,prev_2)
& object(X33) ) ) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ? [X34] :
( ~ v__1(X34,X0,X0)
& node_next(nn) = X34
& object(X34) )
& ? [X35] :
( node_next(nn) = X35
& v__1(X35,nn,nn)
& object(X35) ) )
| ? [X36] :
( node_next(nn) = X36
& v__1(X36,nn,X0)
& object(X36) ) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X37] :
( node_next(nn) = X37
& v__1(X37,X0,nn)
& object(X37) )
& ( ( ? [X38] :
( ~ v__1(X38,X0,X0)
& node_next(nn) = X38
& object(X38) )
& ? [X39] :
( node_next(nn) = X39
& v__1(X39,nn,nn)
& object(X39) ) )
| ? [X40] :
( node_next(nn) = X40
& v__1(X40,nn,X0)
& object(X40) ) )
& nn != X0 )
| ( ( ( ? [X41] :
( ~ v__1(X41,nn,nn)
& node_next(nn) = X41
& object(X41) )
& ? [X42] :
( node_next(nn) = X42
& v__1(X42,X0,X0)
& object(X42) ) )
| ? [X43] :
( node_next(nn) = X43
& v__1(X43,X0,nn)
& object(X43) ) )
& ? [X44] :
( node_next(nn) = X44
& v__1(X44,X0,X0)
& object(X44) ) ) )
& ( ( ( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| nn = X0 )
& ( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,X0,nn)
| nn = X0 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,X0,X0) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) ) ) )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,prev_2,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,prev_2,X0) ) )
& prev_2 != X0 )
| ( ( ( ( ( ( ? [X45] :
( node_next(nn) = X45
& v__1(X45,prev_2,prev_2)
& object(X45) )
| ? [X46] :
( ~ v__1(X46,nn,nn)
& node_next(nn) = X46
& object(X46) ) )
& ? [X47] :
( ~ v__1(X47,nn,prev_2)
& node_next(nn) = X47
& object(X47) ) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& ( ( ( ? [X48] :
( node_next(nn) = X48
& v__1(X48,prev_2,prev_2)
& object(X48) )
| ? [X49] :
( ~ v__1(X49,nn,nn)
& node_next(nn) = X49
& object(X49) ) )
& ? [X50] :
( ~ v__1(X50,nn,prev_2)
& node_next(nn) = X50
& object(X50) ) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ? [X51] :
( ~ v__1(X51,prev_2,nn)
& node_next(nn) = X51
& object(X51) )
| nn = prev_2 )
& ( ( ( ? [X52] :
( node_next(nn) = X52
& v__1(X52,nn,nn)
& object(X52) )
| ? [X53] :
( ~ v__1(X53,prev_2,prev_2)
& node_next(nn) = X53
& object(X53) ) )
& ? [X54] :
( ~ v__1(X54,prev_2,nn)
& node_next(nn) = X54
& object(X54) ) )
| ? [X55] :
( ~ v__1(X55,prev_2,prev_2)
& node_next(nn) = X55
& object(X55) ) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ? [X56] :
( ~ v__1(X56,X0,X0)
& node_next(nn) = X56
& object(X56) )
& ? [X57] :
( node_next(nn) = X57
& v__1(X57,nn,nn)
& object(X57) ) )
| ? [X58] :
( node_next(nn) = X58
& v__1(X58,nn,X0)
& object(X58) ) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X59] :
( node_next(nn) = X59
& v__1(X59,X0,nn)
& object(X59) )
& ( ( ? [X60] :
( ~ v__1(X60,X0,X0)
& node_next(nn) = X60
& object(X60) )
& ? [X61] :
( node_next(nn) = X61
& v__1(X61,nn,nn)
& object(X61) ) )
| ? [X62] :
( node_next(nn) = X62
& v__1(X62,nn,X0)
& object(X62) ) )
& nn != X0 )
| ( ( ( ? [X63] :
( ~ v__1(X63,nn,nn)
& node_next(nn) = X63
& object(X63) )
& ? [X64] :
( node_next(nn) = X64
& v__1(X64,X0,X0)
& object(X64) ) )
| ? [X65] :
( node_next(nn) = X65
& v__1(X65,X0,nn)
& object(X65) ) )
& ? [X66] :
( node_next(nn) = X66
& v__1(X66,X0,X0)
& object(X66) ) ) ) )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ? [X67] :
( ~ v__1(X67,prev_2,prev_2)
& node_next(nn) = X67
& object(X67) )
& ? [X68] :
( node_next(nn) = X68
& v__1(X68,nn,nn)
& object(X68) ) )
| ? [X69] :
( node_next(nn) = X69
& v__1(X69,nn,prev_2)
& object(X69) ) )
& nn != prev_2 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ? [X70] :
( node_next(nn) = X70
& v__1(X70,X0,nn)
& object(X70) )
& ( ( ? [X71] :
( ~ v__1(X71,prev_2,prev_2)
& node_next(nn) = X71
& object(X71) )
& ? [X72] :
( node_next(nn) = X72
& v__1(X72,nn,nn)
& object(X72) ) )
| ? [X73] :
( node_next(nn) = X73
& v__1(X73,nn,prev_2)
& object(X73) ) )
& nn != prev_2 )
| ( ( ( ? [X74] :
( ~ v__1(X74,nn,nn)
& node_next(nn) = X74
& object(X74) )
& ? [X75] :
( node_next(nn) = X75
& v__1(X75,prev_2,prev_2)
& object(X75) ) )
| ? [X76] :
( node_next(nn) = X76
& v__1(X76,prev_2,nn)
& object(X76) ) )
& ? [X77] :
( node_next(nn) = X77
& v__1(X77,X0,prev_2)
& object(X77) ) ) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,X0,prev_2) ) )
& ( ( ( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| nn = X0 )
& ( ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,X0,nn)
| nn = X0 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,X0,X0) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) ) ) )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,prev_2,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,prev_2,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,prev_2,X0) ) )
& prev_2 != X0 )
| ( ( ( ( ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) ) ) )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,X0,prev_2) ) )
& ( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) ) ) ) )
& null != X0
& object(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,plain,
~ ! [X0] :
( ( nn != X0
& v__1(sortedList_first,X0,X0)
& null != X0 )
| ( ( ( ( ( ( ( ! [X1] :
( node_next(nn) != X1
| ~ v__1(X1,prev_2,prev_2)
| ~ object(X1) )
& ! [X2] :
( v__1(X2,nn,nn)
| node_next(nn) != X2
| ~ object(X2) ) )
| ! [X3] :
( v__1(X3,nn,prev_2)
| node_next(nn) != X3
| ~ object(X3) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ! [X4] :
( node_next(nn) != X4
| ~ v__1(X4,prev_2,prev_2)
| ~ object(X4) )
& ! [X5] :
( v__1(X5,nn,nn)
| node_next(nn) != X5
| ~ object(X5) ) )
| ! [X6] :
( v__1(X6,nn,prev_2)
| node_next(nn) != X6
| ~ object(X6) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ! [X7] :
( v__1(X7,prev_2,nn)
| node_next(nn) != X7
| ~ object(X7) )
& nn != prev_2 )
| ( ( ( ! [X8] :
( node_next(nn) != X8
| ~ v__1(X8,nn,nn)
| ~ object(X8) )
& ! [X9] :
( v__1(X9,prev_2,prev_2)
| node_next(nn) != X9
| ~ object(X9) ) )
| ! [X10] :
( v__1(X10,prev_2,nn)
| node_next(nn) != X10
| ~ object(X10) ) )
& ! [X11] :
( v__1(X11,prev_2,prev_2)
| node_next(nn) != X11
| ~ object(X11) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| ( ( ! [X12] :
( v__1(X12,X0,X0)
| node_next(nn) != X12
| ~ object(X12) )
| ! [X13] :
( node_next(nn) != X13
| ~ v__1(X13,nn,nn)
| ~ object(X13) ) )
& ! [X14] :
( node_next(nn) != X14
| ~ v__1(X14,nn,X0)
| ~ object(X14) ) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ! [X15] :
( node_next(nn) != X15
| ~ v__1(X15,X0,nn)
| ~ object(X15) )
| ( ( ! [X16] :
( v__1(X16,X0,X0)
| node_next(nn) != X16
| ~ object(X16) )
| ! [X17] :
( node_next(nn) != X17
| ~ v__1(X17,nn,nn)
| ~ object(X17) ) )
& ! [X18] :
( node_next(nn) != X18
| ~ v__1(X18,nn,X0)
| ~ object(X18) ) )
| nn = X0 )
& ( ( ( ! [X19] :
( v__1(X19,nn,nn)
| node_next(nn) != X19
| ~ object(X19) )
| ! [X20] :
( node_next(nn) != X20
| ~ v__1(X20,X0,X0)
| ~ object(X20) ) )
& ! [X21] :
( node_next(nn) != X21
| ~ v__1(X21,X0,nn)
| ~ object(X21) ) )
| ! [X22] :
( node_next(nn) != X22
| ~ v__1(X22,X0,X0)
| ~ object(X22) ) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X0,prev_2)
| ( ( ! [X23] :
( v__1(X23,prev_2,prev_2)
| node_next(nn) != X23
| ~ object(X23) )
| ! [X24] :
( node_next(nn) != X24
| ~ v__1(X24,nn,nn)
| ~ object(X24) ) )
& ! [X25] :
( node_next(nn) != X25
| ~ v__1(X25,nn,prev_2)
| ~ object(X25) ) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ! [X26] :
( node_next(nn) != X26
| ~ v__1(X26,X0,nn)
| ~ object(X26) )
| ( ( ! [X27] :
( v__1(X27,prev_2,prev_2)
| node_next(nn) != X27
| ~ object(X27) )
| ! [X28] :
( node_next(nn) != X28
| ~ v__1(X28,nn,nn)
| ~ object(X28) ) )
& ! [X29] :
( node_next(nn) != X29
| ~ v__1(X29,nn,prev_2)
| ~ object(X29) ) )
| nn = prev_2 )
& ( ( ( ! [X30] :
( v__1(X30,nn,nn)
| node_next(nn) != X30
| ~ object(X30) )
| ! [X31] :
( node_next(nn) != X31
| ~ v__1(X31,prev_2,prev_2)
| ~ object(X31) ) )
& ! [X32] :
( node_next(nn) != X32
| ~ v__1(X32,prev_2,nn)
| ~ object(X32) ) )
| ! [X33] :
( node_next(nn) != X33
| ~ v__1(X33,X0,prev_2)
| ~ object(X33) ) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| ( ( ! [X34] :
( v__1(X34,X0,X0)
| node_next(nn) != X34
| ~ object(X34) )
| ! [X35] :
( node_next(nn) != X35
| ~ v__1(X35,nn,nn)
| ~ object(X35) ) )
& ! [X36] :
( node_next(nn) != X36
| ~ v__1(X36,nn,X0)
| ~ object(X36) ) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ! [X37] :
( node_next(nn) != X37
| ~ v__1(X37,X0,nn)
| ~ object(X37) )
| ( ( ! [X38] :
( v__1(X38,X0,X0)
| node_next(nn) != X38
| ~ object(X38) )
| ! [X39] :
( node_next(nn) != X39
| ~ v__1(X39,nn,nn)
| ~ object(X39) ) )
& ! [X40] :
( node_next(nn) != X40
| ~ v__1(X40,nn,X0)
| ~ object(X40) ) )
| nn = X0 )
& ( ( ( ! [X41] :
( v__1(X41,nn,nn)
| node_next(nn) != X41
| ~ object(X41) )
| ! [X42] :
( node_next(nn) != X42
| ~ v__1(X42,X0,X0)
| ~ object(X42) ) )
& ! [X43] :
( node_next(nn) != X43
| ~ v__1(X43,X0,nn)
| ~ object(X43) ) )
| ! [X44] :
( node_next(nn) != X44
| ~ v__1(X44,X0,X0)
| ~ object(X44) ) ) )
| ( ( ( ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,prev_2,X0)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,prev_2,X0) ) )
| prev_2 = X0 )
& ( ( ( ( ( ( ! [X45] :
( node_next(nn) != X45
| ~ v__1(X45,prev_2,prev_2)
| ~ object(X45) )
& ! [X46] :
( v__1(X46,nn,nn)
| node_next(nn) != X46
| ~ object(X46) ) )
| ! [X47] :
( v__1(X47,nn,prev_2)
| node_next(nn) != X47
| ~ object(X47) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ! [X48] :
( node_next(nn) != X48
| ~ v__1(X48,prev_2,prev_2)
| ~ object(X48) )
& ! [X49] :
( v__1(X49,nn,nn)
| node_next(nn) != X49
| ~ object(X49) ) )
| ! [X50] :
( v__1(X50,nn,prev_2)
| node_next(nn) != X50
| ~ object(X50) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ! [X51] :
( v__1(X51,prev_2,nn)
| node_next(nn) != X51
| ~ object(X51) )
& nn != prev_2 )
| ( ( ( ! [X52] :
( node_next(nn) != X52
| ~ v__1(X52,nn,nn)
| ~ object(X52) )
& ! [X53] :
( v__1(X53,prev_2,prev_2)
| node_next(nn) != X53
| ~ object(X53) ) )
| ! [X54] :
( v__1(X54,prev_2,nn)
| node_next(nn) != X54
| ~ object(X54) ) )
& ! [X55] :
( v__1(X55,prev_2,prev_2)
| node_next(nn) != X55
| ~ object(X55) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| ( ( ! [X56] :
( v__1(X56,X0,X0)
| node_next(nn) != X56
| ~ object(X56) )
| ! [X57] :
( node_next(nn) != X57
| ~ v__1(X57,nn,nn)
| ~ object(X57) ) )
& ! [X58] :
( node_next(nn) != X58
| ~ v__1(X58,nn,X0)
| ~ object(X58) ) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ! [X59] :
( node_next(nn) != X59
| ~ v__1(X59,X0,nn)
| ~ object(X59) )
| ( ( ! [X60] :
( v__1(X60,X0,X0)
| node_next(nn) != X60
| ~ object(X60) )
| ! [X61] :
( node_next(nn) != X61
| ~ v__1(X61,nn,nn)
| ~ object(X61) ) )
& ! [X62] :
( node_next(nn) != X62
| ~ v__1(X62,nn,X0)
| ~ object(X62) ) )
| nn = X0 )
& ( ( ( ! [X63] :
( v__1(X63,nn,nn)
| node_next(nn) != X63
| ~ object(X63) )
| ! [X64] :
( node_next(nn) != X64
| ~ v__1(X64,X0,X0)
| ~ object(X64) ) )
& ! [X65] :
( node_next(nn) != X65
| ~ v__1(X65,X0,nn)
| ~ object(X65) ) )
| ! [X66] :
( node_next(nn) != X66
| ~ v__1(X66,X0,X0)
| ~ object(X66) ) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X0,prev_2)
| ( ( ! [X67] :
( v__1(X67,prev_2,prev_2)
| node_next(nn) != X67
| ~ object(X67) )
| ! [X68] :
( node_next(nn) != X68
| ~ v__1(X68,nn,nn)
| ~ object(X68) ) )
& ! [X69] :
( node_next(nn) != X69
| ~ v__1(X69,nn,prev_2)
| ~ object(X69) ) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ! [X70] :
( node_next(nn) != X70
| ~ v__1(X70,X0,nn)
| ~ object(X70) )
| ( ( ! [X71] :
( v__1(X71,prev_2,prev_2)
| node_next(nn) != X71
| ~ object(X71) )
| ! [X72] :
( node_next(nn) != X72
| ~ v__1(X72,nn,nn)
| ~ object(X72) ) )
& ! [X73] :
( node_next(nn) != X73
| ~ v__1(X73,nn,prev_2)
| ~ object(X73) ) )
| nn = prev_2 )
& ( ( ( ! [X74] :
( v__1(X74,nn,nn)
| node_next(nn) != X74
| ~ object(X74) )
| ! [X75] :
( node_next(nn) != X75
| ~ v__1(X75,prev_2,prev_2)
| ~ object(X75) ) )
& ! [X76] :
( node_next(nn) != X76
| ~ v__1(X76,prev_2,nn)
| ~ object(X76) ) )
| ! [X77] :
( node_next(nn) != X77
| ~ v__1(X77,X0,prev_2)
| ~ object(X77) ) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X0,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,X0,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,X0,prev_2) ) )
| ( ( ( ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& nn != X0 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,prev_2,X0)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,prev_2,X0) ) )
| prev_2 = X0 )
& ( ( ( ( ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,X0,nn)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,X0,X0) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X0,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,X0,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,X0,prev_2) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(null,X0,X0)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X0,X0) )
& ~ v__1(null,X0,nn) )
| ~ v__1(sortedList_first,X0,nn)
| ( ( v__1(sortedList_first,X0,X0)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X0) )
| nn = X0 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X0,X0) )
& ~ v__1(sortedList_first,X0,nn) )
| ~ v__1(sortedList_first,X0,X0) ) ) ) )
| null = X0
| ~ object(X0) ),
inference(rectify,[],[f60]) ).
fof(f60,negated_conjecture,
~ ! [X57] :
( ( nn != X57
& v__1(sortedList_first,X57,X57)
& null != X57 )
| ( ( ( ( ( ( ( ! [X134] :
( node_next(nn) != X134
| ~ v__1(X134,prev_2,prev_2)
| ~ object(X134) )
& ! [X133] :
( v__1(X133,nn,nn)
| node_next(nn) != X133
| ~ object(X133) ) )
| ! [X132] :
( v__1(X132,nn,prev_2)
| node_next(nn) != X132
| ~ object(X132) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ! [X131] :
( node_next(nn) != X131
| ~ v__1(X131,prev_2,prev_2)
| ~ object(X131) )
& ! [X130] :
( v__1(X130,nn,nn)
| node_next(nn) != X130
| ~ object(X130) ) )
| ! [X129] :
( v__1(X129,nn,prev_2)
| node_next(nn) != X129
| ~ object(X129) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ! [X128] :
( v__1(X128,prev_2,nn)
| node_next(nn) != X128
| ~ object(X128) )
& nn != prev_2 )
| ( ( ( ! [X127] :
( node_next(nn) != X127
| ~ v__1(X127,nn,nn)
| ~ object(X127) )
& ! [X126] :
( v__1(X126,prev_2,prev_2)
| node_next(nn) != X126
| ~ object(X126) ) )
| ! [X125] :
( v__1(X125,prev_2,nn)
| node_next(nn) != X125
| ~ object(X125) ) )
& ! [X124] :
( v__1(X124,prev_2,prev_2)
| node_next(nn) != X124
| ~ object(X124) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( ! [X123] :
( v__1(X123,X57,X57)
| node_next(nn) != X123
| ~ object(X123) )
| ! [X122] :
( node_next(nn) != X122
| ~ v__1(X122,nn,nn)
| ~ object(X122) ) )
& ! [X121] :
( node_next(nn) != X121
| ~ v__1(X121,nn,X57)
| ~ object(X121) ) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ! [X120] :
( node_next(nn) != X120
| ~ v__1(X120,X57,nn)
| ~ object(X120) )
| ( ( ! [X119] :
( v__1(X119,X57,X57)
| node_next(nn) != X119
| ~ object(X119) )
| ! [X118] :
( node_next(nn) != X118
| ~ v__1(X118,nn,nn)
| ~ object(X118) ) )
& ! [X117] :
( node_next(nn) != X117
| ~ v__1(X117,nn,X57)
| ~ object(X117) ) )
| nn = X57 )
& ( ( ( ! [X116] :
( v__1(X116,nn,nn)
| node_next(nn) != X116
| ~ object(X116) )
| ! [X115] :
( node_next(nn) != X115
| ~ v__1(X115,X57,X57)
| ~ object(X115) ) )
& ! [X114] :
( node_next(nn) != X114
| ~ v__1(X114,X57,nn)
| ~ object(X114) ) )
| ! [X113] :
( node_next(nn) != X113
| ~ v__1(X113,X57,X57)
| ~ object(X113) ) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( ! [X112] :
( v__1(X112,prev_2,prev_2)
| node_next(nn) != X112
| ~ object(X112) )
| ! [X111] :
( node_next(nn) != X111
| ~ v__1(X111,nn,nn)
| ~ object(X111) ) )
& ! [X110] :
( node_next(nn) != X110
| ~ v__1(X110,nn,prev_2)
| ~ object(X110) ) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ! [X109] :
( node_next(nn) != X109
| ~ v__1(X109,X57,nn)
| ~ object(X109) )
| ( ( ! [X108] :
( v__1(X108,prev_2,prev_2)
| node_next(nn) != X108
| ~ object(X108) )
| ! [X107] :
( node_next(nn) != X107
| ~ v__1(X107,nn,nn)
| ~ object(X107) ) )
& ! [X106] :
( node_next(nn) != X106
| ~ v__1(X106,nn,prev_2)
| ~ object(X106) ) )
| nn = prev_2 )
& ( ( ( ! [X105] :
( v__1(X105,nn,nn)
| node_next(nn) != X105
| ~ object(X105) )
| ! [X104] :
( node_next(nn) != X104
| ~ v__1(X104,prev_2,prev_2)
| ~ object(X104) ) )
& ! [X103] :
( node_next(nn) != X103
| ~ v__1(X103,prev_2,nn)
| ~ object(X103) ) )
| ! [X102] :
( node_next(nn) != X102
| ~ v__1(X102,X57,prev_2)
| ~ object(X102) ) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( ! [X101] :
( v__1(X101,X57,X57)
| node_next(nn) != X101
| ~ object(X101) )
| ! [X100] :
( node_next(nn) != X100
| ~ v__1(X100,nn,nn)
| ~ object(X100) ) )
& ! [X99] :
( node_next(nn) != X99
| ~ v__1(X99,nn,X57)
| ~ object(X99) ) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ! [X98] :
( node_next(nn) != X98
| ~ v__1(X98,X57,nn)
| ~ object(X98) )
| ( ( ! [X97] :
( v__1(X97,X57,X57)
| node_next(nn) != X97
| ~ object(X97) )
| ! [X96] :
( node_next(nn) != X96
| ~ v__1(X96,nn,nn)
| ~ object(X96) ) )
& ! [X95] :
( node_next(nn) != X95
| ~ v__1(X95,nn,X57)
| ~ object(X95) ) )
| nn = X57 )
& ( ( ( ! [X94] :
( v__1(X94,nn,nn)
| node_next(nn) != X94
| ~ object(X94) )
| ! [X93] :
( node_next(nn) != X93
| ~ v__1(X93,X57,X57)
| ~ object(X93) ) )
& ! [X92] :
( node_next(nn) != X92
| ~ v__1(X92,X57,nn)
| ~ object(X92) ) )
| ! [X91] :
( node_next(nn) != X91
| ~ v__1(X91,X57,X57)
| ~ object(X91) ) ) )
| ( ( ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(null,X57,X57)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(sortedList_first,X57,nn)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X57,X57) )
| v__1(sortedList_first,X57,nn) )
& v__1(sortedList_first,X57,X57) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,prev_2,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,prev_2,X57) ) )
| prev_2 = X57 )
& ( ( ( ( ( ( ! [X90] :
( node_next(nn) != X90
| ~ v__1(X90,prev_2,prev_2)
| ~ object(X90) )
& ! [X89] :
( v__1(X89,nn,nn)
| node_next(nn) != X89
| ~ object(X89) ) )
| ! [X88] :
( v__1(X88,nn,prev_2)
| node_next(nn) != X88
| ~ object(X88) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ! [X87] :
( node_next(nn) != X87
| ~ v__1(X87,prev_2,prev_2)
| ~ object(X87) )
& ! [X86] :
( v__1(X86,nn,nn)
| node_next(nn) != X86
| ~ object(X86) ) )
| ! [X85] :
( v__1(X85,nn,prev_2)
| node_next(nn) != X85
| ~ object(X85) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ! [X84] :
( v__1(X84,prev_2,nn)
| node_next(nn) != X84
| ~ object(X84) )
& nn != prev_2 )
| ( ( ( ! [X83] :
( node_next(nn) != X83
| ~ v__1(X83,nn,nn)
| ~ object(X83) )
& ! [X82] :
( v__1(X82,prev_2,prev_2)
| node_next(nn) != X82
| ~ object(X82) ) )
| ! [X81] :
( v__1(X81,prev_2,nn)
| node_next(nn) != X81
| ~ object(X81) ) )
& ! [X80] :
( v__1(X80,prev_2,prev_2)
| node_next(nn) != X80
| ~ object(X80) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( ! [X79] :
( v__1(X79,X57,X57)
| node_next(nn) != X79
| ~ object(X79) )
| ! [X78] :
( node_next(nn) != X78
| ~ v__1(X78,nn,nn)
| ~ object(X78) ) )
& ! [X77] :
( node_next(nn) != X77
| ~ v__1(X77,nn,X57)
| ~ object(X77) ) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ! [X76] :
( node_next(nn) != X76
| ~ v__1(X76,X57,nn)
| ~ object(X76) )
| ( ( ! [X75] :
( v__1(X75,X57,X57)
| node_next(nn) != X75
| ~ object(X75) )
| ! [X74] :
( node_next(nn) != X74
| ~ v__1(X74,nn,nn)
| ~ object(X74) ) )
& ! [X73] :
( node_next(nn) != X73
| ~ v__1(X73,nn,X57)
| ~ object(X73) ) )
| nn = X57 )
& ( ( ( ! [X72] :
( v__1(X72,nn,nn)
| node_next(nn) != X72
| ~ object(X72) )
| ! [X71] :
( node_next(nn) != X71
| ~ v__1(X71,X57,X57)
| ~ object(X71) ) )
& ! [X70] :
( node_next(nn) != X70
| ~ v__1(X70,X57,nn)
| ~ object(X70) ) )
| ! [X69] :
( node_next(nn) != X69
| ~ v__1(X69,X57,X57)
| ~ object(X69) ) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( ! [X68] :
( v__1(X68,prev_2,prev_2)
| node_next(nn) != X68
| ~ object(X68) )
| ! [X67] :
( node_next(nn) != X67
| ~ v__1(X67,nn,nn)
| ~ object(X67) ) )
& ! [X66] :
( node_next(nn) != X66
| ~ v__1(X66,nn,prev_2)
| ~ object(X66) ) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ! [X65] :
( node_next(nn) != X65
| ~ v__1(X65,X57,nn)
| ~ object(X65) )
| ( ( ! [X64] :
( v__1(X64,prev_2,prev_2)
| node_next(nn) != X64
| ~ object(X64) )
| ! [X63] :
( node_next(nn) != X63
| ~ v__1(X63,nn,nn)
| ~ object(X63) ) )
& ! [X62] :
( node_next(nn) != X62
| ~ v__1(X62,nn,prev_2)
| ~ object(X62) ) )
| nn = prev_2 )
& ( ( ( ! [X61] :
( v__1(X61,nn,nn)
| node_next(nn) != X61
| ~ object(X61) )
| ! [X60] :
( node_next(nn) != X60
| ~ v__1(X60,prev_2,prev_2)
| ~ object(X60) ) )
& ! [X59] :
( node_next(nn) != X59
| ~ v__1(X59,prev_2,nn)
| ~ object(X59) ) )
| ! [X58] :
( node_next(nn) != X58
| ~ v__1(X58,X57,prev_2)
| ~ object(X58) ) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,X57,prev_2) ) )
| ( ( ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(null,X57,X57)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(sortedList_first,X57,nn)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X57,X57) )
| v__1(sortedList_first,X57,nn) )
& v__1(sortedList_first,X57,X57) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,prev_2,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,prev_2,X57) ) )
| prev_2 = X57 )
& ( ( ( ( ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,X57,X57) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,X57,prev_2) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,X57,X57) ) ) ) )
| null = X57
| ~ object(X57) ),
inference(negated_conjecture,[],[f59]) ).
fof(f59,conjecture,
! [X57] :
( ( nn != X57
& v__1(sortedList_first,X57,X57)
& null != X57 )
| ( ( ( ( ( ( ( ! [X134] :
( node_next(nn) != X134
| ~ v__1(X134,prev_2,prev_2)
| ~ object(X134) )
& ! [X133] :
( v__1(X133,nn,nn)
| node_next(nn) != X133
| ~ object(X133) ) )
| ! [X132] :
( v__1(X132,nn,prev_2)
| node_next(nn) != X132
| ~ object(X132) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ! [X131] :
( node_next(nn) != X131
| ~ v__1(X131,prev_2,prev_2)
| ~ object(X131) )
& ! [X130] :
( v__1(X130,nn,nn)
| node_next(nn) != X130
| ~ object(X130) ) )
| ! [X129] :
( v__1(X129,nn,prev_2)
| node_next(nn) != X129
| ~ object(X129) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ! [X128] :
( v__1(X128,prev_2,nn)
| node_next(nn) != X128
| ~ object(X128) )
& nn != prev_2 )
| ( ( ( ! [X127] :
( node_next(nn) != X127
| ~ v__1(X127,nn,nn)
| ~ object(X127) )
& ! [X126] :
( v__1(X126,prev_2,prev_2)
| node_next(nn) != X126
| ~ object(X126) ) )
| ! [X125] :
( v__1(X125,prev_2,nn)
| node_next(nn) != X125
| ~ object(X125) ) )
& ! [X124] :
( v__1(X124,prev_2,prev_2)
| node_next(nn) != X124
| ~ object(X124) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( ! [X123] :
( v__1(X123,X57,X57)
| node_next(nn) != X123
| ~ object(X123) )
| ! [X122] :
( node_next(nn) != X122
| ~ v__1(X122,nn,nn)
| ~ object(X122) ) )
& ! [X121] :
( node_next(nn) != X121
| ~ v__1(X121,nn,X57)
| ~ object(X121) ) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ! [X120] :
( node_next(nn) != X120
| ~ v__1(X120,X57,nn)
| ~ object(X120) )
| ( ( ! [X119] :
( v__1(X119,X57,X57)
| node_next(nn) != X119
| ~ object(X119) )
| ! [X118] :
( node_next(nn) != X118
| ~ v__1(X118,nn,nn)
| ~ object(X118) ) )
& ! [X117] :
( node_next(nn) != X117
| ~ v__1(X117,nn,X57)
| ~ object(X117) ) )
| nn = X57 )
& ( ( ( ! [X116] :
( v__1(X116,nn,nn)
| node_next(nn) != X116
| ~ object(X116) )
| ! [X115] :
( node_next(nn) != X115
| ~ v__1(X115,X57,X57)
| ~ object(X115) ) )
& ! [X114] :
( node_next(nn) != X114
| ~ v__1(X114,X57,nn)
| ~ object(X114) ) )
| ! [X113] :
( node_next(nn) != X113
| ~ v__1(X113,X57,X57)
| ~ object(X113) ) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( ! [X112] :
( v__1(X112,prev_2,prev_2)
| node_next(nn) != X112
| ~ object(X112) )
| ! [X111] :
( node_next(nn) != X111
| ~ v__1(X111,nn,nn)
| ~ object(X111) ) )
& ! [X110] :
( node_next(nn) != X110
| ~ v__1(X110,nn,prev_2)
| ~ object(X110) ) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ! [X109] :
( node_next(nn) != X109
| ~ v__1(X109,X57,nn)
| ~ object(X109) )
| ( ( ! [X108] :
( v__1(X108,prev_2,prev_2)
| node_next(nn) != X108
| ~ object(X108) )
| ! [X107] :
( node_next(nn) != X107
| ~ v__1(X107,nn,nn)
| ~ object(X107) ) )
& ! [X106] :
( node_next(nn) != X106
| ~ v__1(X106,nn,prev_2)
| ~ object(X106) ) )
| nn = prev_2 )
& ( ( ( ! [X105] :
( v__1(X105,nn,nn)
| node_next(nn) != X105
| ~ object(X105) )
| ! [X104] :
( node_next(nn) != X104
| ~ v__1(X104,prev_2,prev_2)
| ~ object(X104) ) )
& ! [X103] :
( node_next(nn) != X103
| ~ v__1(X103,prev_2,nn)
| ~ object(X103) ) )
| ! [X102] :
( node_next(nn) != X102
| ~ v__1(X102,X57,prev_2)
| ~ object(X102) ) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( ! [X101] :
( v__1(X101,X57,X57)
| node_next(nn) != X101
| ~ object(X101) )
| ! [X100] :
( node_next(nn) != X100
| ~ v__1(X100,nn,nn)
| ~ object(X100) ) )
& ! [X99] :
( node_next(nn) != X99
| ~ v__1(X99,nn,X57)
| ~ object(X99) ) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ! [X98] :
( node_next(nn) != X98
| ~ v__1(X98,X57,nn)
| ~ object(X98) )
| ( ( ! [X97] :
( v__1(X97,X57,X57)
| node_next(nn) != X97
| ~ object(X97) )
| ! [X96] :
( node_next(nn) != X96
| ~ v__1(X96,nn,nn)
| ~ object(X96) ) )
& ! [X95] :
( node_next(nn) != X95
| ~ v__1(X95,nn,X57)
| ~ object(X95) ) )
| nn = X57 )
& ( ( ( ! [X94] :
( v__1(X94,nn,nn)
| node_next(nn) != X94
| ~ object(X94) )
| ! [X93] :
( node_next(nn) != X93
| ~ v__1(X93,X57,X57)
| ~ object(X93) ) )
& ! [X92] :
( node_next(nn) != X92
| ~ v__1(X92,X57,nn)
| ~ object(X92) ) )
| ! [X91] :
( node_next(nn) != X91
| ~ v__1(X91,X57,X57)
| ~ object(X91) ) ) )
| ( ( ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(null,X57,X57)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(sortedList_first,X57,nn)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X57,X57) )
| v__1(sortedList_first,X57,nn) )
& v__1(sortedList_first,X57,X57) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,prev_2,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,prev_2,X57) ) )
| prev_2 = X57 )
& ( ( ( ( ( ( ! [X90] :
( node_next(nn) != X90
| ~ v__1(X90,prev_2,prev_2)
| ~ object(X90) )
& ! [X89] :
( v__1(X89,nn,nn)
| node_next(nn) != X89
| ~ object(X89) ) )
| ! [X88] :
( v__1(X88,nn,prev_2)
| node_next(nn) != X88
| ~ object(X88) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ! [X87] :
( node_next(nn) != X87
| ~ v__1(X87,prev_2,prev_2)
| ~ object(X87) )
& ! [X86] :
( v__1(X86,nn,nn)
| node_next(nn) != X86
| ~ object(X86) ) )
| ! [X85] :
( v__1(X85,nn,prev_2)
| node_next(nn) != X85
| ~ object(X85) ) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ! [X84] :
( v__1(X84,prev_2,nn)
| node_next(nn) != X84
| ~ object(X84) )
& nn != prev_2 )
| ( ( ( ! [X83] :
( node_next(nn) != X83
| ~ v__1(X83,nn,nn)
| ~ object(X83) )
& ! [X82] :
( v__1(X82,prev_2,prev_2)
| node_next(nn) != X82
| ~ object(X82) ) )
| ! [X81] :
( v__1(X81,prev_2,nn)
| node_next(nn) != X81
| ~ object(X81) ) )
& ! [X80] :
( v__1(X80,prev_2,prev_2)
| node_next(nn) != X80
| ~ object(X80) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( ! [X79] :
( v__1(X79,X57,X57)
| node_next(nn) != X79
| ~ object(X79) )
| ! [X78] :
( node_next(nn) != X78
| ~ v__1(X78,nn,nn)
| ~ object(X78) ) )
& ! [X77] :
( node_next(nn) != X77
| ~ v__1(X77,nn,X57)
| ~ object(X77) ) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ! [X76] :
( node_next(nn) != X76
| ~ v__1(X76,X57,nn)
| ~ object(X76) )
| ( ( ! [X75] :
( v__1(X75,X57,X57)
| node_next(nn) != X75
| ~ object(X75) )
| ! [X74] :
( node_next(nn) != X74
| ~ v__1(X74,nn,nn)
| ~ object(X74) ) )
& ! [X73] :
( node_next(nn) != X73
| ~ v__1(X73,nn,X57)
| ~ object(X73) ) )
| nn = X57 )
& ( ( ( ! [X72] :
( v__1(X72,nn,nn)
| node_next(nn) != X72
| ~ object(X72) )
| ! [X71] :
( node_next(nn) != X71
| ~ v__1(X71,X57,X57)
| ~ object(X71) ) )
& ! [X70] :
( node_next(nn) != X70
| ~ v__1(X70,X57,nn)
| ~ object(X70) ) )
| ! [X69] :
( node_next(nn) != X69
| ~ v__1(X69,X57,X57)
| ~ object(X69) ) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( ! [X68] :
( v__1(X68,prev_2,prev_2)
| node_next(nn) != X68
| ~ object(X68) )
| ! [X67] :
( node_next(nn) != X67
| ~ v__1(X67,nn,nn)
| ~ object(X67) ) )
& ! [X66] :
( node_next(nn) != X66
| ~ v__1(X66,nn,prev_2)
| ~ object(X66) ) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ! [X65] :
( node_next(nn) != X65
| ~ v__1(X65,X57,nn)
| ~ object(X65) )
| ( ( ! [X64] :
( v__1(X64,prev_2,prev_2)
| node_next(nn) != X64
| ~ object(X64) )
| ! [X63] :
( node_next(nn) != X63
| ~ v__1(X63,nn,nn)
| ~ object(X63) ) )
& ! [X62] :
( node_next(nn) != X62
| ~ v__1(X62,nn,prev_2)
| ~ object(X62) ) )
| nn = prev_2 )
& ( ( ( ! [X61] :
( v__1(X61,nn,nn)
| node_next(nn) != X61
| ~ object(X61) )
| ! [X60] :
( node_next(nn) != X60
| ~ v__1(X60,prev_2,prev_2)
| ~ object(X60) ) )
& ! [X59] :
( node_next(nn) != X59
| ~ v__1(X59,prev_2,nn)
| ~ object(X59) ) )
| ! [X58] :
( node_next(nn) != X58
| ~ v__1(X58,X57,prev_2)
| ~ object(X58) ) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,X57,prev_2) ) )
| ( ( ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(null,X57,X57)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,X57,X57)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X57) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,X57,X57) )
| v__1(null,X57,nn) )
& v__1(sortedList_first,X57,nn)
& nn != X57 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X57,X57) )
| v__1(sortedList_first,X57,nn) )
& v__1(sortedList_first,X57,X57) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,prev_2,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,prev_2,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,prev_2,X57) ) )
| prev_2 = X57 )
& ( ( ( ( ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,prev_2,prev_2)
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,prev_2,nn)
& nn != prev_2 )
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,prev_2,prev_2) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,X57,X57) ) ) )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,X57,prev_2)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,prev_2,prev_2)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,prev_2) )
| nn = prev_2 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,X57,prev_2) ) )
| ( ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(null,X57,X57)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(null,nn,nn)
| ~ v__1(null,X57,X57) )
& ~ v__1(null,X57,nn) )
| ~ v__1(sortedList_first,X57,nn)
| ( ( v__1(sortedList_first,X57,X57)
| ~ v__1(sortedList_first,nn,nn) )
& ~ v__1(sortedList_first,nn,X57) )
| nn = X57 )
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,X57,X57) )
& ~ v__1(sortedList_first,X57,nn) )
| ~ v__1(sortedList_first,X57,X57) ) ) ) )
| null = X57
| ~ object(X57) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6683,plain,
( ! [X0] :
( ~ v__1(sortedList_first,sK155,X0)
| ~ object(X0)
| ~ object(sK155)
| ~ object(sortedList_first) )
| spl158_252 ),
inference(resolution,[],[f2262,f974]) ).
fof(f974,plain,
! [X2,X0,X1] :
( v__1(X0,X1,X1)
| ~ v__1(X0,X1,X2)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0,X1,X2] :
( ( v__1(X1,X2,X2)
& v__1(X0,X1,X1) )
| ~ v__1(X0,X1,X2)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f106]) ).
fof(f106,plain,
! [X0,X1,X2] :
( ( v__1(X1,X2,X2)
& v__1(X0,X1,X1) )
| ~ v__1(X0,X1,X2)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,plain,
! [X0,X1,X2] :
( ( v__1(X1,X2,X2)
& v__1(X0,X1,X1) )
| ~ v__1(X0,X1,X2)
| ~ ( object(X2)
& object(X1)
& object(X0) ) ),
inference(rectify,[],[f20]) ).
fof(f20,axiom,
! [X19,X20,X21] :
( ( v__1(X20,X21,X21)
& v__1(X19,X20,X20) )
| ~ v__1(X19,X20,X21)
| ~ ( object(X21)
& object(X20)
& object(X19) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2262,plain,
( ~ v__1(sortedList_first,sK155,sK155)
| spl158_252 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2260,plain,
( spl158_252
<=> v__1(sortedList_first,sK155,sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_252])]) ).
fof(f7333,plain,
( v__1(sortedList_first,sK155,prev_2)
| ~ spl158_220
| ~ spl158_221
| ~ spl158_255 ),
inference(resolution,[],[f2275,f4123]) ).
fof(f4123,plain,
( ! [X0] :
( ~ sP76(X0)
| v__1(sortedList_first,X0,prev_2) )
| ~ spl158_220
| ~ spl158_221 ),
inference(subsumption_resolution,[],[f4122,f2100]) ).
fof(f2100,plain,
( ! [X0] : ~ sP16(X0)
| ~ spl158_221 ),
inference(avatar_component_clause,[],[f2099]) ).
fof(f2099,plain,
( spl158_221
<=> ! [X0] : ~ sP16(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_221])]) ).
fof(f4122,plain,
( ! [X0] :
( sP16(X0)
| v__1(sortedList_first,X0,prev_2)
| ~ sP76(X0) )
| ~ spl158_220 ),
inference(subsumption_resolution,[],[f470,f2092]) ).
fof(f2092,plain,
( ! [X0] : ~ sP17(X0)
| ~ spl158_220 ),
inference(avatar_component_clause,[],[f2091]) ).
fof(f2091,plain,
( spl158_220
<=> ! [X0] : ~ sP17(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_220])]) ).
fof(f470,plain,
! [X0] :
( sP17(X0)
| sP16(X0)
| v__1(sortedList_first,X0,prev_2)
| ~ sP76(X0) ),
inference(cnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ( sP39(X0)
& ( sP17(X0)
| sP16(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,X0,prev_2) ) )
& ( sP13(X0)
| sP15(X0)
| sP14(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,prev_2,X0) ) )
& prev_2 != X0 )
| ~ sP76(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f2275,plain,
( sP76(sK155)
| ~ spl158_255 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f2273,plain,
( spl158_255
<=> sP76(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_255])]) ).
fof(f7270,plain,
( ~ spl158_257
| spl158_272
| spl158_274
| spl158_356 ),
inference(avatar_split_clause,[],[f7269,f7212,f2651,f2643,f2282]) ).
fof(f7212,plain,
( spl158_356
<=> object(sK81(sK155)) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_356])]) ).
fof(f7269,plain,
( sP52(sK155)
| ~ sP74(sK155)
| spl158_274
| spl158_356 ),
inference(subsumption_resolution,[],[f7235,f2652]) ).
fof(f7235,plain,
( sP51(sK155)
| sP52(sK155)
| ~ sP74(sK155)
| spl158_356 ),
inference(resolution,[],[f7214,f480]) ).
fof(f480,plain,
! [X0] :
( object(sK81(X0))
| sP51(X0)
| sP52(X0)
| ~ sP74(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f7214,plain,
( ~ object(sK81(sK155))
| spl158_356 ),
inference(avatar_component_clause,[],[f7212]) ).
fof(f7265,plain,
( spl158_268
| ~ spl158_272 ),
inference(avatar_contradiction_clause,[],[f7264]) ).
fof(f7264,plain,
( $false
| spl158_268
| ~ spl158_272 ),
inference(subsumption_resolution,[],[f7260,f2512]) ).
fof(f7260,plain,
( v__1(null,sK155,sK155)
| ~ spl158_272 ),
inference(resolution,[],[f2645,f606]) ).
fof(f606,plain,
! [X0] :
( ~ sP52(X0)
| v__1(null,X0,X0) ),
inference(cnf_transformation,[],[f308]) ).
fof(f308,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP50(X0)
| ( node_next(nn) = sK113(X0)
& v__1(sK113(X0),nn,X0)
& object(sK113(X0)) ) )
& nn != X0 )
| ~ sP52(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK113])],[f306,f307]) ).
fof(f307,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,nn,X0)
& object(X1) )
=> ( node_next(nn) = sK113(X0)
& v__1(sK113(X0),nn,X0)
& object(sK113(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP50(X0)
| ? [X1] :
( node_next(nn) = X1
& v__1(X1,nn,X0)
& object(X1) ) )
& nn != X0 )
| ~ sP52(X0) ),
inference(rectify,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP50(X0)
| ? [X36] :
( node_next(nn) = X36
& v__1(X36,nn,X0)
& object(X36) ) )
& nn != X0 )
| ~ sP52(X0) ),
inference(nnf_transformation,[],[f172]) ).
fof(f2645,plain,
( sP52(sK155)
| ~ spl158_272 ),
inference(avatar_component_clause,[],[f2643]) ).
fof(f7252,plain,
( spl158_272
| spl158_274
| spl158_355
| ~ spl158_63
| ~ spl158_257 ),
inference(avatar_split_clause,[],[f6980,f2282,f1339,f7183,f2651,f2643]) ).
fof(f1339,plain,
( spl158_63
<=> node_next(nn) = sK96 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_63])]) ).
fof(f6980,plain,
( sK96 = sK81(sK155)
| sP51(sK155)
| sP52(sK155)
| ~ spl158_63
| ~ spl158_257 ),
inference(resolution,[],[f6628,f2284]) ).
fof(f6628,plain,
( ! [X0] :
( ~ sP74(X0)
| sK81(X0) = sK96
| sP51(X0)
| sP52(X0) )
| ~ spl158_63 ),
inference(backward_demodulation,[],[f482,f1341]) ).
fof(f1341,plain,
( node_next(nn) = sK96
| ~ spl158_63 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f7247,plain,
( spl158_268
| ~ spl158_274 ),
inference(avatar_contradiction_clause,[],[f7246]) ).
fof(f7246,plain,
( $false
| spl158_268
| ~ spl158_274 ),
inference(subsumption_resolution,[],[f7240,f924]) ).
fof(f7240,plain,
( ~ object(nn)
| spl158_268
| ~ spl158_274 ),
inference(resolution,[],[f7191,f6900]) ).
fof(f6900,plain,
( ! [X0] :
( ~ v__1(null,sK155,X0)
| ~ object(X0) )
| spl158_268 ),
inference(subsumption_resolution,[],[f6899,f922]) ).
fof(f922,plain,
object(null),
inference(cnf_transformation,[],[f11]) ).
fof(f11,axiom,
object(null),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6899,plain,
( ! [X0] :
( ~ v__1(null,sK155,X0)
| ~ object(X0)
| ~ object(null) )
| spl158_268 ),
inference(subsumption_resolution,[],[f6894,f900]) ).
fof(f6894,plain,
( ! [X0] :
( ~ v__1(null,sK155,X0)
| ~ object(X0)
| ~ object(sK155)
| ~ object(null) )
| spl158_268 ),
inference(resolution,[],[f2512,f974]) ).
fof(f7191,plain,
( v__1(null,sK155,nn)
| spl158_268
| ~ spl158_274 ),
inference(subsumption_resolution,[],[f7188,f2512]) ).
fof(f7188,plain,
( v__1(null,sK155,nn)
| v__1(null,sK155,sK155)
| ~ spl158_274 ),
inference(resolution,[],[f2653,f614]) ).
fof(f614,plain,
! [X0] :
( ~ sP51(X0)
| v__1(null,X0,nn)
| v__1(null,X0,X0) ),
inference(cnf_transformation,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& node_next(nn) = sK114(X0)
& v__1(sK114(X0),X0,nn)
& object(sK114(X0))
& sP49(X0)
& nn != X0 )
| ~ sP51(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK114])],[f310,f311]) ).
fof(f311,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
=> ( node_next(nn) = sK114(X0)
& v__1(sK114(X0),X0,nn)
& object(sK114(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
& sP49(X0)
& nn != X0 )
| ~ sP51(X0) ),
inference(rectify,[],[f309]) ).
fof(f309,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X37] :
( node_next(nn) = X37
& v__1(X37,X0,nn)
& object(X37) )
& sP49(X0)
& nn != X0 )
| ~ sP51(X0) ),
inference(nnf_transformation,[],[f171]) ).
fof(f2653,plain,
( sP51(sK155)
| ~ spl158_274 ),
inference(avatar_component_clause,[],[f2651]) ).
fof(f7219,plain,
( ~ spl158_356
| ~ spl158_357
| spl158_252
| ~ spl158_275 ),
inference(avatar_split_clause,[],[f7201,f2656,f2260,f7216,f7212]) ).
fof(f7201,plain,
( ~ v__1(sortedList_first,sK81(sK155),sK81(sK155))
| ~ object(sK81(sK155))
| spl158_252
| ~ spl158_275 ),
inference(resolution,[],[f2658,f6685]) ).
fof(f6685,plain,
( ! [X0] :
( ~ v__1(X0,sK155,sK155)
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X0) )
| spl158_252 ),
inference(subsumption_resolution,[],[f6684,f921]) ).
fof(f6684,plain,
( ! [X0] :
( ~ v__1(X0,sK155,sK155)
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X0)
| ~ object(sortedList_first) )
| spl158_252 ),
inference(subsumption_resolution,[],[f6681,f900]) ).
fof(f6681,plain,
( ! [X0] :
( ~ v__1(X0,sK155,sK155)
| ~ v__1(sortedList_first,X0,X0)
| ~ object(sK155)
| ~ object(X0)
| ~ object(sortedList_first) )
| spl158_252 ),
inference(resolution,[],[f2262,f972]) ).
fof(f972,plain,
! [X2,X0,X1] :
( v__1(X0,X2,X2)
| ~ v__1(X1,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0,X1,X2] :
( v__1(X0,X2,X2)
| ~ v__1(X1,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f102]) ).
fof(f102,plain,
! [X0,X1,X2] :
( v__1(X0,X2,X2)
| ~ v__1(X1,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,plain,
! [X0,X1,X2] :
( v__1(X0,X2,X2)
| ~ v__1(X1,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ ( object(X2)
& object(X1)
& object(X0) ) ),
inference(rectify,[],[f16]) ).
fof(f16,axiom,
! [X5,X6,X7] :
( v__1(X5,X7,X7)
| ~ v__1(X6,X7,X7)
| ~ v__1(X5,X6,X6)
| ~ ( object(X7)
& object(X6)
& object(X5) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f7123,plain,
( ~ spl158_64
| ~ spl158_63
| spl158_252
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_336 ),
inference(avatar_split_clause,[],[f7120,f6757,f2656,f2651,f2643,f2282,f2260,f1339,f1344]) ).
fof(f1344,plain,
( spl158_64
<=> object(sK96) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_64])]) ).
fof(f6757,plain,
( spl158_336
<=> v__1(sortedList_first,sK96,sK96) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_336])]) ).
fof(f7120,plain,
( ~ object(sK96)
| ~ spl158_63
| spl158_252
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275
| ~ spl158_336 ),
inference(subsumption_resolution,[],[f7112,f6759]) ).
fof(f6759,plain,
( v__1(sortedList_first,sK96,sK96)
| ~ spl158_336 ),
inference(avatar_component_clause,[],[f6757]) ).
fof(f7112,plain,
( ~ v__1(sortedList_first,sK96,sK96)
| ~ object(sK96)
| ~ spl158_63
| spl158_252
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275 ),
inference(resolution,[],[f6685,f6983]) ).
fof(f6983,plain,
( v__1(sK96,sK155,sK155)
| ~ spl158_63
| ~ spl158_257
| spl158_272
| spl158_274
| ~ spl158_275 ),
inference(backward_demodulation,[],[f2658,f6982]) ).
fof(f6982,plain,
( sK96 = sK81(sK155)
| ~ spl158_63
| ~ spl158_257
| spl158_272
| spl158_274 ),
inference(subsumption_resolution,[],[f6981,f2644]) ).
fof(f6981,plain,
( sK96 = sK81(sK155)
| sP52(sK155)
| ~ spl158_63
| ~ spl158_257
| spl158_274 ),
inference(subsumption_resolution,[],[f6980,f2652]) ).
fof(f7008,plain,
( spl158_252
| ~ spl158_258 ),
inference(avatar_contradiction_clause,[],[f7007]) ).
fof(f7007,plain,
( $false
| spl158_252
| ~ spl158_258 ),
inference(subsumption_resolution,[],[f7000,f924]) ).
fof(f7000,plain,
( ~ object(nn)
| spl158_252
| ~ spl158_258 ),
inference(resolution,[],[f6689,f2289]) ).
fof(f2289,plain,
( v__1(sortedList_first,sK155,nn)
| ~ spl158_258 ),
inference(avatar_component_clause,[],[f2287]) ).
fof(f2287,plain,
( spl158_258
<=> v__1(sortedList_first,sK155,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_258])]) ).
fof(f6760,plain,
( spl158_335
| spl158_336
| ~ spl158_63 ),
inference(avatar_split_clause,[],[f6751,f1339,f6757,f6753]) ).
fof(f6751,plain,
( v__1(sortedList_first,sK96,sK96)
| null = sK96
| ~ spl158_63 ),
inference(subsumption_resolution,[],[f6750,f924]) ).
fof(f6750,plain,
( v__1(sortedList_first,sK96,sK96)
| null = sK96
| ~ object(nn)
| ~ spl158_63 ),
inference(subsumption_resolution,[],[f6734,f926]) ).
fof(f6734,plain,
( v__1(sortedList_first,sK96,sK96)
| null = sK96
| nn = null
| ~ object(nn)
| ~ spl158_63 ),
inference(superposition,[],[f2341,f1341]) ).
fof(f6669,plain,
( spl158_62
| ~ spl158_63
| ~ spl158_98
| ~ spl158_99 ),
inference(avatar_split_clause,[],[f6660,f1510,f1505,f1339,f1334]) ).
fof(f1334,plain,
( spl158_62
<=> v__1(sK96,prev_2,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_62])]) ).
fof(f6660,plain,
( v__1(sK96,prev_2,prev_2)
| ~ spl158_63
| ~ spl158_98
| ~ spl158_99 ),
inference(backward_demodulation,[],[f1512,f6659]) ).
fof(f6659,plain,
( sK96 = sK112
| ~ spl158_63
| ~ spl158_98 ),
inference(forward_demodulation,[],[f1507,f1341]) ).
fof(f6627,plain,
( ~ spl158_2
| ~ spl158_22
| ~ spl158_253
| ~ spl158_270 ),
inference(avatar_contradiction_clause,[],[f6626]) ).
fof(f6626,plain,
( $false
| ~ spl158_2
| ~ spl158_22
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f6622,f6558]) ).
fof(f6558,plain,
( ~ v__1(sK82,nn,nn)
| ~ spl158_2
| ~ spl158_22 ),
inference(subsumption_resolution,[],[f6557,f924]) ).
fof(f6557,plain,
( ~ v__1(sK82,nn,nn)
| ~ object(nn)
| ~ spl158_2
| ~ spl158_22 ),
inference(subsumption_resolution,[],[f6556,f1048]) ).
fof(f1048,plain,
( v__1(sortedList_first,nn,nn)
| ~ spl158_2 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1047,plain,
( spl158_2
<=> v__1(sortedList_first,nn,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_2])]) ).
fof(f6556,plain,
( ~ v__1(sK82,nn,nn)
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_22 ),
inference(subsumption_resolution,[],[f6470,f926]) ).
fof(f6470,plain,
( ~ v__1(sK82,nn,nn)
| nn = null
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_22 ),
inference(superposition,[],[f3367,f1136]) ).
fof(f3367,plain,
! [X0] :
( ~ v__1(node_next(X0),X0,X0)
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X0) ),
inference(duplicate_literal_removal,[],[f3366]) ).
fof(f3366,plain,
! [X0] :
( null = X0
| ~ v__1(node_next(X0),X0,X0)
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X0)
| ~ object(X0) ),
inference(equality_resolution,[],[f2344]) ).
fof(f2344,plain,
! [X0,X1] :
( node_key(X0) != node_key(X1)
| null = X1
| ~ v__1(node_next(X0),X1,X1)
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(subsumption_resolution,[],[f2343,f951]) ).
fof(f2343,plain,
! [X0,X1] :
( node_key(X0) != node_key(X1)
| null = X1
| ~ v__1(node_next(X0),X1,X1)
| ~ object(node_next(X0))
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(subsumption_resolution,[],[f1024,f949]) ).
fof(f949,plain,
! [X0] : integer(node_key(X0)),
inference(cnf_transformation,[],[f66]) ).
fof(f66,plain,
! [X0] : integer(node_key(X0)),
inference(rectify,[],[f10]) ).
fof(f10,axiom,
! [X3] : integer(node_key(X3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1024,plain,
! [X0,X1] :
( node_key(X0) != node_key(X1)
| ~ integer(node_key(X1))
| null = X1
| ~ v__1(node_next(X0),X1,X1)
| ~ object(node_next(X0))
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(equality_resolution,[],[f1023]) ).
fof(f1023,plain,
! [X0,X1,X5] :
( node_key(X0) != node_key(X1)
| ~ integer(node_key(X1))
| null = X1
| node_next(X0) != X5
| ~ v__1(X5,X1,X1)
| ~ object(X5)
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(equality_resolution,[],[f971]) ).
fof(f971,plain,
! [X2,X0,X1,X5] :
( node_key(X1) != X2
| node_key(X0) != X2
| ~ integer(X2)
| null = X1
| node_next(X0) != X5
| ~ v__1(X5,X1,X1)
| ~ object(X5)
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0,X1] :
( ( ! [X2] :
( node_key(X1) != X2
| node_key(X0) != X2
| ~ integer(X2) )
& ! [X3,X4] :
( lteq(X3,X4)
| node_key(X1) != X4
| node_key(X0) != X3
| ~ integer(X4)
| ~ integer(X3) ) )
| null = X1
| ! [X5] :
( node_next(X0) != X5
| ~ v__1(X5,X1,X1)
| ~ object(X5) )
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f100]) ).
fof(f100,plain,
! [X0,X1] :
( ( ! [X2] :
( node_key(X1) != X2
| node_key(X0) != X2
| ~ integer(X2) )
& ! [X3,X4] :
( lteq(X3,X4)
| node_key(X1) != X4
| node_key(X0) != X3
| ~ integer(X4)
| ~ integer(X3) ) )
| null = X1
| ! [X5] :
( node_next(X0) != X5
| ~ v__1(X5,X1,X1)
| ~ object(X5) )
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,plain,
! [X0,X1] :
( ( ! [X2] :
( node_key(X1) != X2
| node_key(X0) != X2
| ~ integer(X2) )
& ! [X3,X4] :
( lteq(X3,X4)
| node_key(X1) != X4
| node_key(X0) != X3
| ~ ( integer(X4)
& integer(X3) ) ) )
| null = X1
| ! [X5] :
( node_next(X0) != X5
| ~ v__1(X5,X1,X1)
| ~ object(X5) )
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ ( object(X1)
& object(X0) ) ),
inference(rectify,[],[f44]) ).
fof(f44,axiom,
! [X0,X1] :
( ( ! [X39] :
( node_key(X1) != X39
| node_key(X0) != X39
| ~ integer(X39) )
& ! [X37,X38] :
( lteq(X37,X38)
| node_key(X1) != X38
| node_key(X0) != X37
| ~ ( integer(X38)
& integer(X37) ) ) )
| null = X1
| ! [X36] :
( node_next(X0) != X36
| ~ v__1(X36,X1,X1)
| ~ object(X36) )
| null = X0
| ~ v__1(sortedList_first,X0,X0)
| ~ ( object(X1)
& object(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f6622,plain,
( v__1(sK82,nn,nn)
| ~ spl158_22
| ~ spl158_253
| ~ spl158_270 ),
inference(backward_demodulation,[],[f6363,f6617]) ).
fof(f6617,plain,
( sK82 = sK87(nn)
| ~ spl158_22
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f6616,f993]) ).
fof(f993,plain,
~ sP62(nn),
inference(equality_resolution,[],[f546]) ).
fof(f546,plain,
! [X0] :
( nn != X0
| ~ sP62(X0) ),
inference(cnf_transformation,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP60(X0)
| ( node_next(nn) = sK97(X0)
& v__1(sK97(X0),nn,X0)
& object(sK97(X0)) ) )
& nn != X0 )
| ~ sP62(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK97])],[f260,f261]) ).
fof(f261,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,nn,X0)
& object(X1) )
=> ( node_next(nn) = sK97(X0)
& v__1(sK97(X0),nn,X0)
& object(sK97(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP60(X0)
| ? [X1] :
( node_next(nn) = X1
& v__1(X1,nn,X0)
& object(X1) ) )
& nn != X0 )
| ~ sP62(X0) ),
inference(rectify,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( sP60(X0)
| ? [X14] :
( node_next(nn) = X14
& v__1(X14,nn,X0)
& object(X14) ) )
& nn != X0 )
| ~ sP62(X0) ),
inference(nnf_transformation,[],[f182]) ).
fof(f6616,plain,
( sK82 = sK87(nn)
| sP62(nn)
| ~ spl158_22
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f6615,f994]) ).
fof(f994,plain,
~ sP61(nn),
inference(equality_resolution,[],[f553]) ).
fof(f553,plain,
! [X0] :
( nn != X0
| ~ sP61(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& node_next(nn) = sK98(X0)
& v__1(sK98(X0),X0,nn)
& object(sK98(X0))
& sP59(X0)
& nn != X0 )
| ~ sP61(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK98])],[f264,f265]) ).
fof(f265,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
=> ( node_next(nn) = sK98(X0)
& v__1(sK98(X0),X0,nn)
& object(sK98(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f264,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
& sP59(X0)
& nn != X0 )
| ~ sP61(X0) ),
inference(rectify,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& ? [X15] :
( node_next(nn) = X15
& v__1(X15,X0,nn)
& object(X15) )
& sP59(X0)
& nn != X0 )
| ~ sP61(X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f6615,plain,
( sK82 = sK87(nn)
| sP61(nn)
| sP62(nn)
| ~ spl158_22
| ~ spl158_253
| ~ spl158_270 ),
inference(resolution,[],[f6573,f6358]) ).
fof(f6358,plain,
( sP69(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(resolution,[],[f6354,f486]) ).
fof(f486,plain,
! [X0] :
( ~ sP73(X0)
| sP69(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ( ( sP68
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& sP70
& ( sP64
| ( ~ v__1(sK82,prev_2,prev_2)
& node_next(nn) = sK82
& object(sK82) ) )
& sP69(X0) )
| ~ sP73(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK82])],[f212,f213]) ).
fof(f213,plain,
( ? [X1] :
( ~ v__1(X1,prev_2,prev_2)
& node_next(nn) = X1
& object(X1) )
=> ( ~ v__1(sK82,prev_2,prev_2)
& node_next(nn) = sK82
& object(sK82) ) ),
introduced(choice_axiom,[]) ).
fof(f212,plain,
! [X0] :
( ( ( sP68
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& sP70
& ( sP64
| ? [X1] :
( ~ v__1(X1,prev_2,prev_2)
& node_next(nn) = X1
& object(X1) ) )
& sP69(X0) )
| ~ sP73(X0) ),
inference(rectify,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ( ( sP68
| ( ( v__1(null,nn,nn)
| ~ v__1(null,prev_2,prev_2) )
& ~ v__1(null,prev_2,nn) )
| ~ v__1(null,prev_2,prev_2)
| nn = prev_2 )
& sP70
& ( sP64
| ? [X11] :
( ~ v__1(X11,prev_2,prev_2)
& node_next(nn) = X11
& object(X11) ) )
& sP69(X0) )
| ~ sP73(X0) ),
inference(nnf_transformation,[],[f193]) ).
fof(f6354,plain,
( sP73(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(forward_demodulation,[],[f2631,f2266]) ).
fof(f2266,plain,
( nn = sK155
| ~ spl158_253 ),
inference(avatar_component_clause,[],[f2264]) ).
fof(f2264,plain,
( spl158_253
<=> nn = sK155 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_253])]) ).
fof(f2631,plain,
( sP73(sK155)
| ~ spl158_270 ),
inference(avatar_component_clause,[],[f2629]) ).
fof(f6573,plain,
( ! [X0] :
( ~ sP69(X0)
| sK82 = sK87(X0)
| sP61(X0)
| sP62(X0) )
| ~ spl158_22 ),
inference(forward_demodulation,[],[f515,f1136]) ).
fof(f515,plain,
! [X0] :
( ~ sP69(X0)
| sP61(X0)
| node_next(nn) = sK87(X0)
| sP62(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( sP62(X0)
| sP61(X0)
| ( ( sP57(X0)
| ( node_next(nn) = sK86(X0)
& v__1(sK86(X0),X0,nn)
& object(sK86(X0)) ) )
& node_next(nn) = sK87(X0)
& v__1(sK87(X0),X0,X0)
& object(sK87(X0)) )
| ~ sP69(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK86,sK87])],[f228,f230,f229]) ).
fof(f229,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
=> ( node_next(nn) = sK86(X0)
& v__1(sK86(X0),X0,nn)
& object(sK86(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f230,plain,
! [X0] :
( ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,X0)
& object(X2) )
=> ( node_next(nn) = sK87(X0)
& v__1(sK87(X0),X0,X0)
& object(sK87(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
! [X0] :
( sP62(X0)
| sP61(X0)
| ( ( sP57(X0)
| ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) ) )
& ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,X0)
& object(X2) ) )
| ~ sP69(X0) ),
inference(rectify,[],[f227]) ).
fof(f227,plain,
! [X0] :
( sP62(X0)
| sP61(X0)
| ( ( sP57(X0)
| ? [X21] :
( node_next(nn) = X21
& v__1(X21,X0,nn)
& object(X21) ) )
& ? [X22] :
( node_next(nn) = X22
& v__1(X22,X0,X0)
& object(X22) ) )
| ~ sP69(X0) ),
inference(nnf_transformation,[],[f189]) ).
fof(f6363,plain,
( v__1(sK87(nn),nn,nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f6362,f993]) ).
fof(f6362,plain,
( v__1(sK87(nn),nn,nn)
| sP62(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f6361,f994]) ).
fof(f6361,plain,
( sP61(nn)
| v__1(sK87(nn),nn,nn)
| sP62(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(resolution,[],[f6358,f514]) ).
fof(f514,plain,
! [X0] :
( ~ sP69(X0)
| sP61(X0)
| v__1(sK87(X0),X0,X0)
| sP62(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f6337,plain,
( ~ spl158_2
| ~ spl158_8
| ~ spl158_11
| ~ spl158_12 ),
inference(avatar_contradiction_clause,[],[f6336]) ).
fof(f6336,plain,
( $false
| ~ spl158_2
| ~ spl158_8
| ~ spl158_11
| ~ spl158_12 ),
inference(subsumption_resolution,[],[f6335,f924]) ).
fof(f6335,plain,
( ~ object(nn)
| ~ spl158_2
| ~ spl158_8
| ~ spl158_11
| ~ spl158_12 ),
inference(subsumption_resolution,[],[f6334,f1048]) ).
fof(f6334,plain,
( ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_8
| ~ spl158_11
| ~ spl158_12 ),
inference(subsumption_resolution,[],[f6333,f926]) ).
fof(f6333,plain,
( nn = null
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_8
| ~ spl158_11
| ~ spl158_12 ),
inference(subsumption_resolution,[],[f6180,f6197]) ).
fof(f6197,plain,
( v__1(sK78,nn,nn)
| ~ spl158_11
| ~ spl158_12 ),
inference(subsumption_resolution,[],[f6189,f1092]) ).
fof(f1092,plain,
( object(sK78)
| ~ spl158_12 ),
inference(avatar_component_clause,[],[f1090]) ).
fof(f1090,plain,
( spl158_12
<=> object(sK78) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_12])]) ).
fof(f6189,plain,
( v__1(sK78,nn,nn)
| ~ object(sK78)
| ~ spl158_11 ),
inference(resolution,[],[f1087,f3289]) ).
fof(f3289,plain,
! [X0] :
( ~ v__1(X0,prev_2,nn)
| v__1(X0,nn,nn)
| ~ object(X0) ),
inference(subsumption_resolution,[],[f3288,f923]) ).
fof(f3288,plain,
! [X0] :
( v__1(X0,nn,nn)
| ~ v__1(X0,prev_2,nn)
| ~ object(prev_2)
| ~ object(X0) ),
inference(subsumption_resolution,[],[f3270,f924]) ).
fof(f3270,plain,
! [X0] :
( v__1(X0,nn,nn)
| ~ v__1(X0,prev_2,nn)
| ~ object(nn)
| ~ object(prev_2)
| ~ object(X0) ),
inference(duplicate_literal_removal,[],[f3254]) ).
fof(f3254,plain,
! [X0] :
( v__1(X0,nn,nn)
| ~ v__1(X0,prev_2,nn)
| ~ object(nn)
| ~ object(prev_2)
| ~ object(X0)
| ~ object(nn) ),
inference(resolution,[],[f979,f2459]) ).
fof(f2459,plain,
v__1(prev_2,nn,nn),
inference(subsumption_resolution,[],[f2458,f923]) ).
fof(f2458,plain,
( v__1(prev_2,nn,nn)
| ~ object(prev_2) ),
inference(superposition,[],[f2340,f2326]) ).
fof(f2326,plain,
nn = node_next(prev_2),
inference(subsumption_resolution,[],[f943,f925]) ).
fof(f925,plain,
prev_2 != null,
inference(cnf_transformation,[],[f26]) ).
fof(f26,axiom,
prev_2 != null,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f943,plain,
( nn = node_next(prev_2)
| prev_2 = null ),
inference(cnf_transformation,[],[f34]) ).
fof(f34,axiom,
( nn = node_next(prev_2)
| prev_2 = null ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2340,plain,
! [X0] :
( v__1(X0,node_next(X0),node_next(X0))
| ~ object(X0) ),
inference(subsumption_resolution,[],[f1030,f951]) ).
fof(f1030,plain,
! [X0] :
( v__1(X0,node_next(X0),node_next(X0))
| ~ object(node_next(X0))
| ~ object(X0) ),
inference(duplicate_literal_removal,[],[f1019]) ).
fof(f1019,plain,
! [X0] :
( v__1(X0,node_next(X0),node_next(X0))
| ~ object(node_next(X0))
| ~ object(node_next(X0))
| ~ object(X0) ),
inference(equality_resolution,[],[f1018]) ).
fof(f1018,plain,
! [X0,X1] :
( v__1(X0,X1,node_next(X0))
| node_next(X0) != X1
| ~ object(node_next(X0))
| ~ object(X1)
| ~ object(X0) ),
inference(equality_resolution,[],[f963]) ).
fof(f963,plain,
! [X2,X0,X1] :
( v__1(X0,X1,X2)
| node_next(X0) != X2
| node_next(X0) != X1
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f91]) ).
fof(f91,plain,
! [X0] :
( ! [X1,X2] :
( v__1(X0,X1,X2)
| node_next(X0) != X2
| node_next(X0) != X1
| ~ object(X2)
| ~ object(X1) )
| ~ object(X0) ),
inference(flattening,[],[f90]) ).
fof(f90,plain,
! [X0] :
( ! [X1,X2] :
( v__1(X0,X1,X2)
| node_next(X0) != X2
| node_next(X0) != X1
| ~ object(X2)
| ~ object(X1) )
| ~ object(X0) ),
inference(ennf_transformation,[],[f74]) ).
fof(f74,plain,
! [X0] :
( ! [X1,X2] :
( v__1(X0,X1,X2)
| node_next(X0) != X2
| node_next(X0) != X1
| ~ ( object(X2)
& object(X1) ) )
| ~ object(X0) ),
inference(rectify,[],[f24]) ).
fof(f24,axiom,
! [X27] :
( ! [X28,X29] :
( v__1(X27,X28,X29)
| node_next(X27) != X29
| node_next(X27) != X28
| ~ ( object(X29)
& object(X28) ) )
| ~ object(X27) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f979,plain,
! [X2,X3,X0,X1] :
( ~ v__1(X2,X0,X3)
| v__1(X1,X0,X3)
| ~ v__1(X1,X2,X3)
| ~ object(X3)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0,X1,X2,X3] :
( ( v__1(X1,X0,X3)
& v__1(X1,X2,X0) )
| ~ v__1(X2,X0,X3)
| ~ v__1(X1,X2,X3)
| ~ object(X3)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f110]) ).
fof(f110,plain,
! [X0,X1,X2,X3] :
( ( v__1(X1,X0,X3)
& v__1(X1,X2,X0) )
| ~ v__1(X2,X0,X3)
| ~ v__1(X1,X2,X3)
| ~ object(X3)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,plain,
! [X0,X1,X2,X3] :
( ( v__1(X1,X0,X3)
& v__1(X1,X2,X0) )
| ~ v__1(X2,X0,X3)
| ~ v__1(X1,X2,X3)
| ~ ( object(X3)
& object(X2)
& object(X1)
& object(X0) ) ),
inference(rectify,[],[f17]) ).
fof(f17,axiom,
! [X8,X9,X10,X11] :
( ( v__1(X9,X8,X11)
& v__1(X9,X10,X8) )
| ~ v__1(X10,X8,X11)
| ~ v__1(X9,X10,X11)
| ~ ( object(X11)
& object(X10)
& object(X9)
& object(X8) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1087,plain,
( v__1(sK78,prev_2,nn)
| ~ spl158_11 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1085,plain,
( spl158_11
<=> v__1(sK78,prev_2,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_11])]) ).
fof(f6180,plain,
( ~ v__1(sK78,nn,nn)
| nn = null
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_8 ),
inference(superposition,[],[f3367,f1075]) ).
fof(f1075,plain,
( node_next(nn) = sK78
| ~ spl158_8 ),
inference(avatar_component_clause,[],[f1073]) ).
fof(f1073,plain,
( spl158_8
<=> node_next(nn) = sK78 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_8])]) ).
fof(f5969,plain,
( ~ spl158_2
| ~ spl158_60
| ~ spl158_331
| ~ spl158_333 ),
inference(avatar_contradiction_clause,[],[f5968]) ).
fof(f5968,plain,
( $false
| ~ spl158_2
| ~ spl158_60
| ~ spl158_331
| ~ spl158_333 ),
inference(subsumption_resolution,[],[f5964,f5889]) ).
fof(f5889,plain,
( ~ v__1(sK95,nn,nn)
| ~ spl158_2
| ~ spl158_60 ),
inference(subsumption_resolution,[],[f5888,f924]) ).
fof(f5888,plain,
( ~ v__1(sK95,nn,nn)
| ~ object(nn)
| ~ spl158_2
| ~ spl158_60 ),
inference(subsumption_resolution,[],[f5887,f1048]) ).
fof(f5887,plain,
( ~ v__1(sK95,nn,nn)
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_60 ),
inference(subsumption_resolution,[],[f5581,f926]) ).
fof(f5581,plain,
( ~ v__1(sK95,nn,nn)
| nn = null
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_60 ),
inference(superposition,[],[f3367,f1326]) ).
fof(f1326,plain,
( node_next(nn) = sK95
| ~ spl158_60 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1324,plain,
( spl158_60
<=> node_next(nn) = sK95 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_60])]) ).
fof(f5964,plain,
( v__1(sK95,nn,nn)
| ~ spl158_331
| ~ spl158_333 ),
inference(backward_demodulation,[],[f5760,f5826]) ).
fof(f5826,plain,
( sK95 = sK86(nn)
| ~ spl158_333 ),
inference(avatar_component_clause,[],[f5824]) ).
fof(f5824,plain,
( spl158_333
<=> sK95 = sK86(nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_333])]) ).
fof(f5760,plain,
( v__1(sK86(nn),nn,nn)
| ~ spl158_331 ),
inference(avatar_component_clause,[],[f5758]) ).
fof(f5758,plain,
( spl158_331
<=> v__1(sK86(nn),nn,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_331])]) ).
fof(f5884,plain,
( spl158_130
| ~ spl158_220
| ~ spl158_221
| ~ spl158_253
| ~ spl158_255 ),
inference(avatar_contradiction_clause,[],[f5883]) ).
fof(f5883,plain,
( $false
| spl158_130
| ~ spl158_220
| ~ spl158_221
| ~ spl158_253
| ~ spl158_255 ),
inference(subsumption_resolution,[],[f5879,f1648]) ).
fof(f1648,plain,
( ~ v__1(sortedList_first,nn,prev_2)
| spl158_130 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1647,plain,
( spl158_130
<=> v__1(sortedList_first,nn,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_130])]) ).
fof(f5879,plain,
( v__1(sortedList_first,nn,prev_2)
| ~ spl158_220
| ~ spl158_221
| ~ spl158_253
| ~ spl158_255 ),
inference(resolution,[],[f5860,f4123]) ).
fof(f5860,plain,
( sP76(nn)
| ~ spl158_253
| ~ spl158_255 ),
inference(forward_demodulation,[],[f2275,f2266]) ).
fof(f5835,plain,
( ~ spl158_75
| ~ spl158_332 ),
inference(avatar_contradiction_clause,[],[f5832]) ).
fof(f5832,plain,
( $false
| ~ spl158_75
| ~ spl158_332 ),
inference(resolution,[],[f5764,f1394]) ).
fof(f1394,plain,
( ! [X0] : ~ sP57(X0)
| ~ spl158_75 ),
inference(avatar_component_clause,[],[f1393]) ).
fof(f1393,plain,
( spl158_75
<=> ! [X0] : ~ sP57(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_75])]) ).
fof(f5764,plain,
( sP57(nn)
| ~ spl158_332 ),
inference(avatar_component_clause,[],[f5762]) ).
fof(f5762,plain,
( spl158_332
<=> sP57(nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_332])]) ).
fof(f5827,plain,
( spl158_332
| spl158_333
| ~ spl158_60
| ~ spl158_253
| ~ spl158_270 ),
inference(avatar_split_clause,[],[f5822,f2629,f2264,f1324,f5824,f5762]) ).
fof(f5822,plain,
( sK95 = sK86(nn)
| sP57(nn)
| ~ spl158_60
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f5809,f993]) ).
fof(f5809,plain,
( sK95 = sK86(nn)
| sP57(nn)
| sP62(nn)
| ~ spl158_60
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f5808,f994]) ).
fof(f5808,plain,
( sK95 = sK86(nn)
| sP61(nn)
| sP57(nn)
| sP62(nn)
| ~ spl158_60
| ~ spl158_253
| ~ spl158_270 ),
inference(resolution,[],[f5723,f5561]) ).
fof(f5561,plain,
( sP69(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(resolution,[],[f5323,f486]) ).
fof(f5323,plain,
( sP73(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(forward_demodulation,[],[f2631,f2266]) ).
fof(f5723,plain,
( ! [X0] :
( ~ sP69(X0)
| sK86(X0) = sK95
| sP61(X0)
| sP57(X0)
| sP62(X0) )
| ~ spl158_60 ),
inference(forward_demodulation,[],[f518,f1326]) ).
fof(f518,plain,
! [X0] :
( ~ sP69(X0)
| sP61(X0)
| sP57(X0)
| node_next(nn) = sK86(X0)
| sP62(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f5792,plain,
( ~ spl158_60
| spl158_76
| ~ spl158_77
| ~ spl158_332 ),
inference(avatar_contradiction_clause,[],[f5791]) ).
fof(f5791,plain,
( $false
| ~ spl158_60
| spl158_76
| ~ spl158_77
| ~ spl158_332 ),
inference(subsumption_resolution,[],[f5790,f5727]) ).
fof(f5727,plain,
( ~ v__1(sK95,nn,nn)
| ~ spl158_60
| spl158_76
| ~ spl158_77 ),
inference(forward_demodulation,[],[f1398,f5725]) ).
fof(f5725,plain,
( sK95 = sK104
| ~ spl158_60
| ~ spl158_77 ),
inference(forward_demodulation,[],[f1403,f1326]) ).
fof(f1403,plain,
( node_next(nn) = sK104
| ~ spl158_77 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f1401,plain,
( spl158_77
<=> node_next(nn) = sK104 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_77])]) ).
fof(f1398,plain,
( ~ v__1(sK104,nn,nn)
| spl158_76 ),
inference(avatar_component_clause,[],[f1396]) ).
fof(f1396,plain,
( spl158_76
<=> v__1(sK104,nn,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_76])]) ).
fof(f5790,plain,
( v__1(sK95,nn,nn)
| ~ spl158_60
| ~ spl158_332 ),
inference(forward_demodulation,[],[f5789,f5788]) ).
fof(f5788,plain,
( sK95 = sK105(nn)
| ~ spl158_60
| ~ spl158_332 ),
inference(resolution,[],[f5764,f5724]) ).
fof(f5724,plain,
( ! [X0] :
( ~ sP57(X0)
| sK95 = sK105(X0) )
| ~ spl158_60 ),
inference(forward_demodulation,[],[f577,f1326]) ).
fof(f577,plain,
! [X0] :
( ~ sP57(X0)
| node_next(nn) = sK105(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ~ v__1(sK104,nn,nn)
& node_next(nn) = sK104
& object(sK104)
& node_next(nn) = sK105(X0)
& v__1(sK105(X0),X0,X0)
& object(sK105(X0)) )
| ~ sP57(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK104,sK105])],[f282,f284,f283]) ).
fof(f283,plain,
( ? [X1] :
( ~ v__1(X1,nn,nn)
& node_next(nn) = X1
& object(X1) )
=> ( ~ v__1(sK104,nn,nn)
& node_next(nn) = sK104
& object(sK104) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0] :
( ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,X0)
& object(X2) )
=> ( node_next(nn) = sK105(X0)
& v__1(sK105(X0),X0,X0)
& object(sK105(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0] :
( ( ? [X1] :
( ~ v__1(X1,nn,nn)
& node_next(nn) = X1
& object(X1) )
& ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,X0)
& object(X2) ) )
| ~ sP57(X0) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ( ? [X19] :
( ~ v__1(X19,nn,nn)
& node_next(nn) = X19
& object(X19) )
& ? [X20] :
( node_next(nn) = X20
& v__1(X20,X0,X0)
& object(X20) ) )
| ~ sP57(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f5789,plain,
( v__1(sK105(nn),nn,nn)
| ~ spl158_332 ),
inference(resolution,[],[f5764,f576]) ).
fof(f576,plain,
! [X0] :
( ~ sP57(X0)
| v__1(sK105(X0),X0,X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f5765,plain,
( spl158_331
| spl158_332
| ~ spl158_253
| ~ spl158_270 ),
inference(avatar_split_clause,[],[f5756,f2629,f2264,f5762,f5758]) ).
fof(f5756,plain,
( sP57(nn)
| v__1(sK86(nn),nn,nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f5564,f993]) ).
fof(f5564,plain,
( sP57(nn)
| v__1(sK86(nn),nn,nn)
| sP62(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(subsumption_resolution,[],[f5562,f994]) ).
fof(f5562,plain,
( sP61(nn)
| sP57(nn)
| v__1(sK86(nn),nn,nn)
| sP62(nn)
| ~ spl158_253
| ~ spl158_270 ),
inference(resolution,[],[f5561,f517]) ).
fof(f517,plain,
! [X0] :
( ~ sP69(X0)
| sP61(X0)
| sP57(X0)
| v__1(sK86(X0),X0,nn)
| sP62(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f5320,plain,
( ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256
| spl158_271 ),
inference(avatar_contradiction_clause,[],[f5319]) ).
fof(f5319,plain,
( $false
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256
| spl158_271 ),
inference(subsumption_resolution,[],[f5318,f5317]) ).
fof(f5317,plain,
( v__1(sK79(nn),nn,prev_2)
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256 ),
inference(subsumption_resolution,[],[f5316,f1096]) ).
fof(f1096,plain,
( ! [X0] : ~ sP73(X0)
| ~ spl158_13 ),
inference(avatar_component_clause,[],[f1095]) ).
fof(f1095,plain,
( spl158_13
<=> ! [X0] : ~ sP73(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_13])]) ).
fof(f5316,plain,
( v__1(sK79(nn),nn,prev_2)
| sP73(nn)
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256 ),
inference(subsumption_resolution,[],[f5315,f1170]) ).
fof(f5315,plain,
( sP71(nn)
| v__1(sK79(nn),nn,prev_2)
| sP73(nn)
| ~ spl158_24
| ~ spl158_253
| ~ spl158_256 ),
inference(subsumption_resolution,[],[f4369,f1145]) ).
fof(f4369,plain,
( sP72(nn)
| sP71(nn)
| v__1(sK79(nn),nn,prev_2)
| sP73(nn)
| ~ spl158_253
| ~ spl158_256 ),
inference(resolution,[],[f4285,f475]) ).
fof(f475,plain,
! [X0] :
( ~ sP75(X0)
| sP72(X0)
| sP71(X0)
| v__1(sK79(X0),X0,prev_2)
| sP73(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| ( ( sP53
| ( node_next(nn) = sK78
& v__1(sK78,prev_2,nn)
& object(sK78) ) )
& node_next(nn) = sK79(X0)
& v__1(sK79(X0),X0,prev_2)
& object(sK79(X0)) )
| ~ sP75(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK78,sK79])],[f202,f204,f203]) ).
fof(f203,plain,
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,prev_2,nn)
& object(X1) )
=> ( node_next(nn) = sK78
& v__1(sK78,prev_2,nn)
& object(sK78) ) ),
introduced(choice_axiom,[]) ).
fof(f204,plain,
! [X0] :
( ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,prev_2)
& object(X2) )
=> ( node_next(nn) = sK79(X0)
& v__1(sK79(X0),X0,prev_2)
& object(sK79(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f202,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| ( ( sP53
| ? [X1] :
( node_next(nn) = X1
& v__1(X1,prev_2,nn)
& object(X1) ) )
& ? [X2] :
( node_next(nn) = X2
& v__1(X2,X0,prev_2)
& object(X2) ) )
| ~ sP75(X0) ),
inference(rectify,[],[f201]) ).
fof(f201,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| ( ( sP53
| ? [X32] :
( node_next(nn) = X32
& v__1(X32,prev_2,nn)
& object(X32) ) )
& ? [X33] :
( node_next(nn) = X33
& v__1(X33,X0,prev_2)
& object(X33) ) )
| ~ sP75(X0) ),
inference(nnf_transformation,[],[f195]) ).
fof(f4285,plain,
( sP75(nn)
| ~ spl158_253
| ~ spl158_256 ),
inference(forward_demodulation,[],[f2279,f2266]) ).
fof(f5318,plain,
( ~ v__1(sK79(nn),nn,prev_2)
| ~ spl158_253
| spl158_271 ),
inference(forward_demodulation,[],[f2634,f2266]) ).
fof(f2634,plain,
( ~ v__1(sK79(sK155),sK155,prev_2)
| spl158_271 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f2633,plain,
( spl158_271
<=> v__1(sK79(sK155),sK155,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_271])]) ).
fof(f5314,plain,
( ~ spl158_4
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256
| ~ spl158_271 ),
inference(avatar_contradiction_clause,[],[f5312]) ).
fof(f5312,plain,
( $false
| ~ spl158_4
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256
| ~ spl158_271 ),
inference(resolution,[],[f4538,f1096]) ).
fof(f4538,plain,
( sP73(nn)
| ~ spl158_4
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_256
| ~ spl158_271 ),
inference(subsumption_resolution,[],[f4537,f4285]) ).
fof(f4537,plain,
( sP73(nn)
| ~ sP75(nn)
| ~ spl158_4
| ~ spl158_24
| ~ spl158_29
| ~ spl158_253
| ~ spl158_271 ),
inference(subsumption_resolution,[],[f4536,f1170]) ).
fof(f4536,plain,
( sP71(nn)
| sP73(nn)
| ~ sP75(nn)
| ~ spl158_4
| ~ spl158_24
| ~ spl158_253
| ~ spl158_271 ),
inference(subsumption_resolution,[],[f4456,f1145]) ).
fof(f4456,plain,
( sP72(nn)
| sP71(nn)
| sP73(nn)
| ~ sP75(nn)
| ~ spl158_4
| ~ spl158_253
| ~ spl158_271 ),
inference(resolution,[],[f4451,f474]) ).
fof(f474,plain,
! [X0] :
( object(sK79(X0))
| sP72(X0)
| sP71(X0)
| sP73(X0)
| ~ sP75(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f4451,plain,
( ~ object(sK79(nn))
| ~ spl158_4
| ~ spl158_253
| ~ spl158_271 ),
inference(resolution,[],[f4278,f3560]) ).
fof(f3560,plain,
( ! [X0] :
( ~ v__1(X0,nn,prev_2)
| ~ object(X0) )
| ~ spl158_4 ),
inference(subsumption_resolution,[],[f3559,f924]) ).
fof(f3559,plain,
( ! [X0] :
( ~ v__1(X0,nn,prev_2)
| ~ object(nn)
| ~ object(X0) )
| ~ spl158_4 ),
inference(subsumption_resolution,[],[f3555,f923]) ).
fof(f3555,plain,
( ! [X0] :
( ~ v__1(X0,nn,prev_2)
| ~ object(prev_2)
| ~ object(nn)
| ~ object(X0) )
| ~ spl158_4 ),
inference(resolution,[],[f3458,f975]) ).
fof(f975,plain,
! [X2,X0,X1] :
( v__1(X1,X2,X2)
| ~ v__1(X0,X1,X2)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f3458,plain,
( ~ v__1(nn,prev_2,prev_2)
| ~ spl158_4 ),
inference(subsumption_resolution,[],[f3457,f923]) ).
fof(f3457,plain,
( ~ v__1(nn,prev_2,prev_2)
| ~ object(prev_2)
| ~ spl158_4 ),
inference(subsumption_resolution,[],[f3456,f1057]) ).
fof(f1057,plain,
( v__1(sortedList_first,prev_2,prev_2)
| ~ spl158_4 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1055,plain,
( spl158_4
<=> v__1(sortedList_first,prev_2,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_4])]) ).
fof(f3456,plain,
( ~ v__1(nn,prev_2,prev_2)
| ~ v__1(sortedList_first,prev_2,prev_2)
| ~ object(prev_2) ),
inference(subsumption_resolution,[],[f3436,f925]) ).
fof(f3436,plain,
( ~ v__1(nn,prev_2,prev_2)
| prev_2 = null
| ~ v__1(sortedList_first,prev_2,prev_2)
| ~ object(prev_2) ),
inference(superposition,[],[f3367,f2326]) ).
fof(f4278,plain,
( v__1(sK79(nn),nn,prev_2)
| ~ spl158_253
| ~ spl158_271 ),
inference(forward_demodulation,[],[f2635,f2266]) ).
fof(f2635,plain,
( v__1(sK79(sK155),sK155,prev_2)
| ~ spl158_271 ),
inference(avatar_component_clause,[],[f2633]) ).
fof(f4263,plain,
~ spl158_18,
inference(avatar_contradiction_clause,[],[f4262]) ).
fof(f4262,plain,
( $false
| ~ spl158_18 ),
inference(subsumption_resolution,[],[f4261,f924]) ).
fof(f4261,plain,
( ~ object(nn)
| ~ spl158_18 ),
inference(subsumption_resolution,[],[f4260,f925]) ).
fof(f4260,plain,
( prev_2 = null
| ~ object(nn)
| ~ spl158_18 ),
inference(subsumption_resolution,[],[f4252,f923]) ).
fof(f4252,plain,
( ~ object(prev_2)
| prev_2 = null
| ~ object(nn)
| ~ spl158_18 ),
inference(resolution,[],[f1116,f2833]) ).
fof(f2833,plain,
! [X0,X1] :
( ~ v__1(null,X0,X1)
| ~ object(X0)
| null = X0
| ~ object(X1) ),
inference(subsumption_resolution,[],[f2823,f922]) ).
fof(f2823,plain,
! [X0,X1] :
( null = X0
| ~ object(X0)
| ~ v__1(null,X0,X1)
| ~ object(X1)
| ~ object(null) ),
inference(duplicate_literal_removal,[],[f2822]) ).
fof(f2822,plain,
! [X0,X1] :
( null = X0
| ~ object(X0)
| ~ v__1(null,X0,X1)
| ~ object(X1)
| ~ object(X0)
| ~ object(null) ),
inference(resolution,[],[f2760,f974]) ).
fof(f2760,plain,
! [X0] :
( ~ v__1(null,X0,X0)
| null = X0
| ~ object(X0) ),
inference(subsumption_resolution,[],[f2759,f922]) ).
fof(f2759,plain,
! [X0] :
( ~ v__1(null,X0,X0)
| null = X0
| ~ object(X0)
| ~ object(null) ),
inference(trivial_inequality_removal,[],[f2756]) ).
fof(f2756,plain,
! [X0] :
( null != null
| ~ v__1(null,X0,X0)
| null = X0
| ~ object(X0)
| ~ object(null) ),
inference(superposition,[],[f967,f929]) ).
fof(f929,plain,
null = node_next(null),
inference(cnf_transformation,[],[f15]) ).
fof(f15,axiom,
null = node_next(null),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f967,plain,
! [X0,X1] :
( node_next(X0) != X0
| ~ v__1(X0,X1,X1)
| X0 = X1
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f95,plain,
! [X0,X1] :
( X0 = X1
| ~ v__1(X0,X1,X1)
| node_next(X0) != X0
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f94]) ).
fof(f94,plain,
! [X0,X1] :
( X0 = X1
| ~ v__1(X0,X1,X1)
| node_next(X0) != X0
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,plain,
! [X0,X1] :
( X0 = X1
| ~ v__1(X0,X1,X1)
| node_next(X0) != X0
| ~ ( object(X1)
& object(X0) ) ),
inference(rectify,[],[f23]) ).
fof(f23,axiom,
! [X25,X26] :
( X25 = X26
| ~ v__1(X25,X26,X26)
| node_next(X25) != X25
| ~ ( object(X26)
& object(X25) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f1116,plain,
( v__1(null,prev_2,nn)
| ~ spl158_18 ),
inference(avatar_component_clause,[],[f1115]) ).
fof(f1115,plain,
( spl158_18
<=> v__1(null,prev_2,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_18])]) ).
fof(f4121,plain,
( spl158_130
| ~ spl158_237
| ~ spl158_238
| ~ spl158_239
| ~ spl158_253
| ~ spl158_254 ),
inference(avatar_contradiction_clause,[],[f4120]) ).
fof(f4120,plain,
( $false
| spl158_130
| ~ spl158_237
| ~ spl158_238
| ~ spl158_239
| ~ spl158_253
| ~ spl158_254 ),
inference(subsumption_resolution,[],[f4119,f2198]) ).
fof(f2198,plain,
( ! [X0] : ~ sP6(X0)
| ~ spl158_239 ),
inference(avatar_component_clause,[],[f2197]) ).
fof(f2197,plain,
( spl158_239
<=> ! [X0] : ~ sP6(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_239])]) ).
fof(f4119,plain,
( sP6(nn)
| spl158_130
| ~ spl158_237
| ~ spl158_238
| ~ spl158_253
| ~ spl158_254 ),
inference(subsumption_resolution,[],[f4118,f1648]) ).
fof(f4118,plain,
( v__1(sortedList_first,nn,prev_2)
| sP6(nn)
| ~ spl158_237
| ~ spl158_238
| ~ spl158_253
| ~ spl158_254 ),
inference(resolution,[],[f4086,f2897]) ).
fof(f2897,plain,
( sP77(nn)
| ~ spl158_253
| ~ spl158_254 ),
inference(backward_demodulation,[],[f2271,f2266]) ).
fof(f2271,plain,
( sP77(sK155)
| ~ spl158_254 ),
inference(avatar_component_clause,[],[f2269]) ).
fof(f2269,plain,
( spl158_254
<=> sP77(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_254])]) ).
fof(f4086,plain,
( ! [X0] :
( ~ sP77(X0)
| v__1(sortedList_first,X0,prev_2)
| sP6(X0) )
| ~ spl158_237
| ~ spl158_238 ),
inference(subsumption_resolution,[],[f4085,f2190]) ).
fof(f2190,plain,
( ! [X0] : ~ sP7(X0)
| ~ spl158_238 ),
inference(avatar_component_clause,[],[f2189]) ).
fof(f2189,plain,
( spl158_238
<=> ! [X0] : ~ sP7(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_238])]) ).
fof(f4085,plain,
( ! [X0] :
( sP6(X0)
| sP7(X0)
| v__1(sortedList_first,X0,prev_2)
| ~ sP77(X0) )
| ~ spl158_237 ),
inference(subsumption_resolution,[],[f463,f2182]) ).
fof(f2182,plain,
( ! [X0] : ~ sP8(X0)
| ~ spl158_237 ),
inference(avatar_component_clause,[],[f2181]) ).
fof(f2181,plain,
( spl158_237
<=> ! [X0] : ~ sP8(X0) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_237])]) ).
fof(f463,plain,
! [X0] :
( sP6(X0)
| sP8(X0)
| sP7(X0)
| v__1(sortedList_first,X0,prev_2)
| ~ sP77(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ( ( sP6(X0)
| sP8(X0)
| sP7(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,prev_2,prev_2) )
| v__1(sortedList_first,prev_2,nn) )
& v__1(sortedList_first,X0,prev_2) ) )
& ( sP1(X0)
| sP0(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) ) ) )
| ~ sP77(X0) ),
inference(nnf_transformation,[],[f197]) ).
fof(f4084,plain,
( spl158_1
| ~ spl158_2
| ~ spl158_4
| spl158_130 ),
inference(avatar_split_clause,[],[f4083,f1647,f1055,f1047,f1043]) ).
fof(f1043,plain,
( spl158_1
<=> v__1(sortedList_first,prev_2,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_1])]) ).
fof(f4083,plain,
( v__1(sortedList_first,prev_2,nn)
| ~ spl158_2
| ~ spl158_4
| spl158_130 ),
inference(subsumption_resolution,[],[f4082,f923]) ).
fof(f4082,plain,
( v__1(sortedList_first,prev_2,nn)
| ~ object(prev_2)
| ~ spl158_2
| ~ spl158_4
| spl158_130 ),
inference(subsumption_resolution,[],[f4033,f1057]) ).
fof(f4033,plain,
( v__1(sortedList_first,prev_2,nn)
| ~ v__1(sortedList_first,prev_2,prev_2)
| ~ object(prev_2)
| ~ spl158_2
| spl158_130 ),
inference(resolution,[],[f3342,f1648]) ).
fof(f3342,plain,
( ! [X0] :
( v__1(sortedList_first,nn,X0)
| v__1(sortedList_first,X0,nn)
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X0) )
| ~ spl158_2 ),
inference(subsumption_resolution,[],[f3341,f921]) ).
fof(f3341,plain,
( ! [X0] :
( v__1(sortedList_first,X0,nn)
| v__1(sortedList_first,nn,X0)
| ~ v__1(sortedList_first,X0,X0)
| ~ object(X0)
| ~ object(sortedList_first) )
| ~ spl158_2 ),
inference(subsumption_resolution,[],[f3319,f924]) ).
fof(f3319,plain,
( ! [X0] :
( v__1(sortedList_first,X0,nn)
| v__1(sortedList_first,nn,X0)
| ~ v__1(sortedList_first,X0,X0)
| ~ object(nn)
| ~ object(X0)
| ~ object(sortedList_first) )
| ~ spl158_2 ),
inference(resolution,[],[f973,f1048]) ).
fof(f973,plain,
! [X2,X0,X1] :
( ~ v__1(X0,X2,X2)
| v__1(X0,X1,X2)
| v__1(X0,X2,X1)
| ~ v__1(X0,X1,X1)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0,X1,X2] :
( v__1(X0,X2,X1)
| v__1(X0,X1,X2)
| ~ v__1(X0,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f104]) ).
fof(f104,plain,
! [X0,X1,X2] :
( v__1(X0,X2,X1)
| v__1(X0,X1,X2)
| ~ v__1(X0,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,plain,
! [X0,X1,X2] :
( v__1(X0,X2,X1)
| v__1(X0,X1,X2)
| ~ v__1(X0,X2,X2)
| ~ v__1(X0,X1,X1)
| ~ ( object(X2)
& object(X1)
& object(X0) ) ),
inference(rectify,[],[f19]) ).
fof(f19,axiom,
! [X16,X17,X18] :
( v__1(X16,X18,X17)
| v__1(X16,X17,X18)
| ~ v__1(X16,X18,X18)
| ~ v__1(X16,X17,X17)
| ~ ( object(X18)
& object(X17)
& object(X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f3453,plain,
( ~ spl158_2
| ~ spl158_56
| ~ spl158_57 ),
inference(avatar_contradiction_clause,[],[f3452]) ).
fof(f3452,plain,
( $false
| ~ spl158_2
| ~ spl158_56
| ~ spl158_57 ),
inference(subsumption_resolution,[],[f3451,f924]) ).
fof(f3451,plain,
( ~ object(nn)
| ~ spl158_2
| ~ spl158_56
| ~ spl158_57 ),
inference(subsumption_resolution,[],[f3450,f1048]) ).
fof(f3450,plain,
( ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_56
| ~ spl158_57 ),
inference(subsumption_resolution,[],[f3449,f926]) ).
fof(f3449,plain,
( nn = null
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_56
| ~ spl158_57 ),
inference(subsumption_resolution,[],[f3437,f1311]) ).
fof(f1311,plain,
( v__1(sK94,nn,nn)
| ~ spl158_57 ),
inference(avatar_component_clause,[],[f1309]) ).
fof(f1309,plain,
( spl158_57
<=> v__1(sK94,nn,nn) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_57])]) ).
fof(f3437,plain,
( ~ v__1(sK94,nn,nn)
| nn = null
| ~ v__1(sortedList_first,nn,nn)
| ~ object(nn)
| ~ spl158_56 ),
inference(superposition,[],[f3367,f1306]) ).
fof(f1306,plain,
( node_next(nn) = sK94
| ~ spl158_56 ),
inference(avatar_component_clause,[],[f1304]) ).
fof(f1304,plain,
( spl158_56
<=> node_next(nn) = sK94 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_56])]) ).
fof(f3448,plain,
( ~ spl158_4
| ~ spl158_130 ),
inference(avatar_contradiction_clause,[],[f3447]) ).
fof(f3447,plain,
( $false
| ~ spl158_4
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3446,f923]) ).
fof(f3446,plain,
( ~ object(prev_2)
| ~ spl158_4
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3445,f1057]) ).
fof(f3445,plain,
( ~ v__1(sortedList_first,prev_2,prev_2)
| ~ object(prev_2)
| ~ spl158_4
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3444,f925]) ).
fof(f3444,plain,
( prev_2 = null
| ~ v__1(sortedList_first,prev_2,prev_2)
| ~ object(prev_2)
| ~ spl158_4
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3436,f3381]) ).
fof(f3381,plain,
( v__1(nn,prev_2,prev_2)
| ~ spl158_4
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3374,f923]) ).
fof(f3374,plain,
( v__1(nn,prev_2,prev_2)
| ~ object(prev_2)
| ~ spl158_4
| ~ spl158_130 ),
inference(resolution,[],[f3178,f1057]) ).
fof(f3178,plain,
( ! [X0] :
( ~ v__1(sortedList_first,prev_2,X0)
| v__1(nn,prev_2,X0)
| ~ object(X0) )
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3177,f924]) ).
fof(f3177,plain,
( ! [X0] :
( v__1(nn,prev_2,X0)
| ~ v__1(sortedList_first,prev_2,X0)
| ~ object(X0)
| ~ object(nn) )
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3176,f921]) ).
fof(f3176,plain,
( ! [X0] :
( v__1(nn,prev_2,X0)
| ~ v__1(sortedList_first,prev_2,X0)
| ~ object(X0)
| ~ object(sortedList_first)
| ~ object(nn) )
| ~ spl158_130 ),
inference(subsumption_resolution,[],[f3140,f923]) ).
fof(f3140,plain,
( ! [X0] :
( v__1(nn,prev_2,X0)
| ~ v__1(sortedList_first,prev_2,X0)
| ~ object(X0)
| ~ object(prev_2)
| ~ object(sortedList_first)
| ~ object(nn) )
| ~ spl158_130 ),
inference(resolution,[],[f977,f1649]) ).
fof(f1649,plain,
( v__1(sortedList_first,nn,prev_2)
| ~ spl158_130 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f977,plain,
! [X2,X3,X0,X1] :
( ~ v__1(X1,X0,X2)
| v__1(X0,X2,X3)
| ~ v__1(X1,X2,X3)
| ~ object(X3)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ( v__1(X0,X2,X3)
& v__1(X1,X0,X3) )
| ~ v__1(X1,X0,X2)
| ~ v__1(X1,X2,X3)
| ~ object(X3)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(flattening,[],[f108]) ).
fof(f108,plain,
! [X0,X1,X2,X3] :
( ( v__1(X0,X2,X3)
& v__1(X1,X0,X3) )
| ~ v__1(X1,X0,X2)
| ~ v__1(X1,X2,X3)
| ~ object(X3)
| ~ object(X2)
| ~ object(X1)
| ~ object(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,plain,
! [X0,X1,X2,X3] :
( ( v__1(X0,X2,X3)
& v__1(X1,X0,X3) )
| ~ v__1(X1,X0,X2)
| ~ v__1(X1,X2,X3)
| ~ ( object(X3)
& object(X2)
& object(X1)
& object(X0) ) ),
inference(rectify,[],[f18]) ).
fof(f18,axiom,
! [X12,X13,X14,X15] :
( ( v__1(X12,X14,X15)
& v__1(X13,X12,X15) )
| ~ v__1(X13,X12,X14)
| ~ v__1(X13,X14,X15)
| ~ ( object(X15)
& object(X14)
& object(X13)
& object(X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2894,plain,
( spl158_258
| spl158_276
| ~ spl158_5
| ~ spl158_254 ),
inference(avatar_split_clause,[],[f2893,f2269,f1060,f2705,f2287]) ).
fof(f2705,plain,
( spl158_276
<=> sP1(sK155) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_276])]) ).
fof(f1060,plain,
( spl158_5
<=> ! [X0] :
( sP1(X0)
| ~ sP77(X0)
| v__1(sortedList_first,X0,nn)
| sP0(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_5])]) ).
fof(f2893,plain,
( sP1(sK155)
| v__1(sortedList_first,sK155,nn)
| ~ spl158_5
| ~ spl158_254 ),
inference(subsumption_resolution,[],[f2838,f897]) ).
fof(f897,plain,
! [X0] :
( ~ sP0(X0)
| v__1(sortedList_first,X0,nn) ),
inference(cnf_transformation,[],[f455]) ).
fof(f455,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP0(X0) ),
inference(nnf_transformation,[],[f120]) ).
fof(f2838,plain,
( sP1(sK155)
| v__1(sortedList_first,sK155,nn)
| sP0(sK155)
| ~ spl158_5
| ~ spl158_254 ),
inference(resolution,[],[f2271,f1061]) ).
fof(f1061,plain,
( ! [X0] :
( ~ sP77(X0)
| sP1(X0)
| v__1(sortedList_first,X0,nn)
| sP0(X0) )
| ~ spl158_5 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f2885,plain,
( spl158_251
| ~ spl158_268 ),
inference(avatar_contradiction_clause,[],[f2884]) ).
fof(f2884,plain,
( $false
| spl158_251
| ~ spl158_268 ),
inference(subsumption_resolution,[],[f2883,f900]) ).
fof(f2883,plain,
( ~ object(sK155)
| spl158_251
| ~ spl158_268 ),
inference(subsumption_resolution,[],[f2882,f2257]) ).
fof(f2257,plain,
( null != sK155
| spl158_251 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2256,plain,
( spl158_251
<=> null = sK155 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_251])]) ).
fof(f2882,plain,
( null = sK155
| ~ object(sK155)
| ~ spl158_268 ),
inference(resolution,[],[f2513,f2760]) ).
fof(f2513,plain,
( v__1(null,sK155,sK155)
| ~ spl158_268 ),
inference(avatar_component_clause,[],[f2511]) ).
fof(f2831,plain,
~ spl158_15,
inference(avatar_contradiction_clause,[],[f2830]) ).
fof(f2830,plain,
( $false
| ~ spl158_15 ),
inference(subsumption_resolution,[],[f2829,f923]) ).
fof(f2829,plain,
( ~ object(prev_2)
| ~ spl158_15 ),
inference(subsumption_resolution,[],[f2818,f925]) ).
fof(f2818,plain,
( prev_2 = null
| ~ object(prev_2)
| ~ spl158_15 ),
inference(resolution,[],[f2760,f1103]) ).
fof(f1103,plain,
( v__1(null,prev_2,prev_2)
| ~ spl158_15 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1102,plain,
( spl158_15
<=> v__1(null,prev_2,prev_2) ),
introduced(avatar_definition,[new_symbols(naming,[spl158_15])]) ).
fof(f2714,plain,
( spl158_268
| ~ spl158_276 ),
inference(avatar_contradiction_clause,[],[f2713]) ).
fof(f2713,plain,
( $false
| spl158_268
| ~ spl158_276 ),
inference(subsumption_resolution,[],[f2711,f2512]) ).
fof(f2711,plain,
( v__1(null,sK155,sK155)
| ~ spl158_276 ),
inference(resolution,[],[f2707,f891]) ).
fof(f891,plain,
! [X0] :
( ~ sP1(X0)
| v__1(null,X0,X0) ),
inference(cnf_transformation,[],[f454]) ).
fof(f454,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,X0,X0) )
| v__1(null,X0,nn) )
& v__1(null,X0,X0)
& ( ( ~ v__1(sortedList_first,X0,X0)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,X0) )
& nn != X0 )
| ~ sP1(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f2707,plain,
( sP1(sK155)
| ~ spl158_276 ),
inference(avatar_component_clause,[],[f2705]) ).
fof(f2659,plain,
( spl158_272
| spl158_275
| spl158_274
| ~ spl158_257 ),
inference(avatar_split_clause,[],[f2640,f2282,f2651,f2656,f2643]) ).
fof(f2640,plain,
( sP51(sK155)
| v__1(sK81(sK155),sK155,sK155)
| sP52(sK155)
| ~ spl158_257 ),
inference(resolution,[],[f2284,f481]) ).
fof(f481,plain,
! [X0] :
( ~ sP74(X0)
| sP51(X0)
| v__1(sK81(X0),X0,X0)
| sP52(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f2567,plain,
( ~ spl158_10
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_256 ),
inference(avatar_contradiction_clause,[],[f2566]) ).
fof(f2566,plain,
( $false
| ~ spl158_10
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29
| ~ spl158_256 ),
inference(subsumption_resolution,[],[f2279,f2435]) ).
fof(f2435,plain,
( ! [X0] : ~ sP75(X0)
| ~ spl158_10
| ~ spl158_13
| ~ spl158_24
| ~ spl158_29 ),
inference(subsumption_resolution,[],[f2434,f1145]) ).
fof(f2434,plain,
( ! [X0] :
( ~ sP75(X0)
| sP72(X0) )
| ~ spl158_10
| ~ spl158_13
| ~ spl158_29 ),
inference(subsumption_resolution,[],[f2433,f1170]) ).
fof(f2433,plain,
( ! [X0] :
( ~ sP75(X0)
| sP71(X0)
| sP72(X0) )
| ~ spl158_10
| ~ spl158_13 ),
inference(subsumption_resolution,[],[f1082,f1096]) ).
fof(f2330,plain,
spl158_2,
inference(avatar_split_clause,[],[f2329,f1047]) ).
fof(f2329,plain,
v__1(sortedList_first,nn,nn),
inference(subsumption_resolution,[],[f947,f926]) ).
fof(f947,plain,
( v__1(sortedList_first,nn,nn)
| nn = null ),
inference(cnf_transformation,[],[f32]) ).
fof(f32,axiom,
( ( v__1(sortedList_first,nn,nn)
& nn != null )
| nn = null ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2328,plain,
spl158_4,
inference(avatar_split_clause,[],[f2327,f1055]) ).
fof(f2327,plain,
v__1(sortedList_first,prev_2,prev_2),
inference(subsumption_resolution,[],[f945,f925]) ).
fof(f945,plain,
( v__1(sortedList_first,prev_2,prev_2)
| prev_2 = null ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,axiom,
( ( v__1(sortedList_first,prev_2,prev_2)
& prev_2 != null )
| prev_2 = null ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
fof(f2314,plain,
~ spl158_251,
inference(avatar_split_clause,[],[f901,f2256]) ).
fof(f901,plain,
null != sK155,
inference(cnf_transformation,[],[f457]) ).
fof(f2285,plain,
( spl158_254
| spl158_255
| spl158_257 ),
inference(avatar_split_clause,[],[f906,f2282,f2273,f2269]) ).
fof(f906,plain,
( sP74(sK155)
| sP76(sK155)
| sP77(sK155) ),
inference(cnf_transformation,[],[f457]) ).
fof(f2280,plain,
( spl158_254
| spl158_255
| spl158_256 ),
inference(avatar_split_clause,[],[f907,f2277,f2273,f2269]) ).
fof(f907,plain,
( sP75(sK155)
| sP76(sK155)
| sP77(sK155) ),
inference(cnf_transformation,[],[f457]) ).
fof(f2267,plain,
( spl158_251
| ~ spl158_252
| spl158_253 ),
inference(avatar_split_clause,[],[f908,f2264,f2260,f2256]) ).
fof(f908,plain,
( nn = sK155
| ~ v__1(sortedList_first,sK155,sK155)
| null = sK155 ),
inference(cnf_transformation,[],[f457]) ).
fof(f2210,plain,
( spl158_239
| ~ spl158_4
| ~ spl158_1 ),
inference(avatar_split_clause,[],[f864,f1043,f1055,f2197]) ).
fof(f864,plain,
! [X0] :
( ~ v__1(sortedList_first,prev_2,nn)
| ~ v__1(sortedList_first,prev_2,prev_2)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f449]) ).
fof(f449,plain,
! [X0] :
( ( sP5
& sP4
& ( ( ( v__1(sortedList_first,nn,nn)
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ~ v__1(sortedList_first,prev_2,nn) )
| ~ v__1(sortedList_first,prev_2,prev_2) )
& ( sP3(X0)
| sP2(X0)
| ( ( ( ~ v__1(sortedList_first,nn,nn)
& v__1(sortedList_first,X0,X0) )
| v__1(sortedList_first,X0,nn) )
& v__1(sortedList_first,X0,X0) ) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f2193,plain,
( spl158_238
| spl158_130
| ~ spl158_4 ),
inference(avatar_split_clause,[],[f857,f1055,f1647,f2189]) ).
fof(f857,plain,
! [X0] :
( ~ v__1(sortedList_first,prev_2,prev_2)
| v__1(sortedList_first,nn,prev_2)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f448]) ).
fof(f448,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f127]) ).
fof(f2185,plain,
( spl158_237
| spl158_130
| ~ spl158_4 ),
inference(avatar_split_clause,[],[f851,f1055,f1647,f2181]) ).
fof(f851,plain,
! [X0] :
( ~ v__1(sortedList_first,prev_2,prev_2)
| v__1(sortedList_first,nn,prev_2)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f447]) ).
fof(f447,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f128]) ).
fof(f2103,plain,
( spl158_221
| spl158_130
| ~ spl158_4 ),
inference(avatar_split_clause,[],[f806,f1055,f1647,f2099]) ).
fof(f806,plain,
! [X0] :
( ~ v__1(sortedList_first,prev_2,prev_2)
| v__1(sortedList_first,nn,prev_2)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f439]) ).
fof(f439,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(sortedList_first,X0,nn)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f2095,plain,
( spl158_220
| spl158_130
| ~ spl158_4 ),
inference(avatar_split_clause,[],[f800,f1055,f1647,f2091]) ).
fof(f800,plain,
! [X0] :
( ~ v__1(sortedList_first,prev_2,prev_2)
| v__1(sortedList_first,nn,prev_2)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f438]) ).
fof(f438,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( ( ~ v__1(sortedList_first,prev_2,prev_2)
& v__1(sortedList_first,nn,nn) )
| v__1(sortedList_first,nn,prev_2) )
& nn != prev_2 )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f1513,plain,
( ~ spl158_9
| spl158_99 ),
inference(avatar_split_clause,[],[f597,f1510,f1077]) ).
fof(f1077,plain,
( spl158_9
<=> sP53 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_9])]) ).
fof(f597,plain,
( v__1(sK112,prev_2,prev_2)
| ~ sP53 ),
inference(cnf_transformation,[],[f304]) ).
fof(f304,plain,
( ( ~ v__1(sK111,nn,nn)
& node_next(nn) = sK111
& object(sK111)
& node_next(nn) = sK112
& v__1(sK112,prev_2,prev_2)
& object(sK112) )
| ~ sP53 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK111,sK112])],[f301,f303,f302]) ).
fof(f302,plain,
( ? [X0] :
( ~ v__1(X0,nn,nn)
& node_next(nn) = X0
& object(X0) )
=> ( ~ v__1(sK111,nn,nn)
& node_next(nn) = sK111
& object(sK111) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,prev_2,prev_2)
& object(X1) )
=> ( node_next(nn) = sK112
& v__1(sK112,prev_2,prev_2)
& object(sK112) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
( ( ? [X0] :
( ~ v__1(X0,nn,nn)
& node_next(nn) = X0
& object(X0) )
& ? [X1] :
( node_next(nn) = X1
& v__1(X1,prev_2,prev_2)
& object(X1) ) )
| ~ sP53 ),
inference(rectify,[],[f300]) ).
fof(f300,plain,
( ( ? [X30] :
( ~ v__1(X30,nn,nn)
& node_next(nn) = X30
& object(X30) )
& ? [X31] :
( node_next(nn) = X31
& v__1(X31,prev_2,prev_2)
& object(X31) ) )
| ~ sP53 ),
inference(nnf_transformation,[],[f173]) ).
fof(f1508,plain,
( ~ spl158_9
| spl158_98 ),
inference(avatar_split_clause,[],[f598,f1505,f1077]) ).
fof(f598,plain,
( node_next(nn) = sK112
| ~ sP53 ),
inference(cnf_transformation,[],[f304]) ).
fof(f1498,plain,
( ~ spl158_9
| spl158_96 ),
inference(avatar_split_clause,[],[f600,f1495,f1077]) ).
fof(f600,plain,
( node_next(nn) = sK111
| ~ sP53 ),
inference(cnf_transformation,[],[f304]) ).
fof(f1404,plain,
( spl158_75
| spl158_77 ),
inference(avatar_split_clause,[],[f579,f1401,f1393]) ).
fof(f579,plain,
! [X0] :
( node_next(nn) = sK104
| ~ sP57(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f1399,plain,
( spl158_75
| ~ spl158_76 ),
inference(avatar_split_clause,[],[f580,f1396,f1393]) ).
fof(f580,plain,
! [X0] :
( ~ v__1(sK104,nn,nn)
| ~ sP57(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f1347,plain,
( ~ spl158_55
| spl158_64 ),
inference(avatar_split_clause,[],[f543,f1344,f1300]) ).
fof(f1300,plain,
( spl158_55
<=> sP63 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_55])]) ).
fof(f543,plain,
( object(sK96)
| ~ sP63 ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( ~ v__1(sK96,prev_2,prev_2)
& node_next(nn) = sK96
& object(sK96) )
| ~ sP63 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK96])],[f256,f257]) ).
fof(f257,plain,
( ? [X0] :
( ~ v__1(X0,prev_2,prev_2)
& node_next(nn) = X0
& object(X0) )
=> ( ~ v__1(sK96,prev_2,prev_2)
& node_next(nn) = sK96
& object(sK96) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X0] :
( ~ v__1(X0,prev_2,prev_2)
& node_next(nn) = X0
& object(X0) )
| ~ sP63 ),
inference(rectify,[],[f255]) ).
fof(f255,plain,
( ? [X9] :
( ~ v__1(X9,prev_2,prev_2)
& node_next(nn) = X9
& object(X9) )
| ~ sP63 ),
inference(nnf_transformation,[],[f183]) ).
fof(f1342,plain,
( ~ spl158_55
| spl158_63 ),
inference(avatar_split_clause,[],[f544,f1339,f1300]) ).
fof(f544,plain,
( node_next(nn) = sK96
| ~ sP63 ),
inference(cnf_transformation,[],[f258]) ).
fof(f1337,plain,
( ~ spl158_55
| ~ spl158_62 ),
inference(avatar_split_clause,[],[f545,f1334,f1300]) ).
fof(f545,plain,
( ~ v__1(sK96,prev_2,prev_2)
| ~ sP63 ),
inference(cnf_transformation,[],[f258]) ).
fof(f1327,plain,
( ~ spl158_21
| spl158_60 ),
inference(avatar_split_clause,[],[f538,f1324,f1129]) ).
fof(f1129,plain,
( spl158_21
<=> sP64 ),
introduced(avatar_definition,[new_symbols(naming,[spl158_21])]) ).
fof(f538,plain,
( node_next(nn) = sK95
| ~ sP64 ),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( ( node_next(nn) = sK94
& v__1(sK94,nn,nn)
& object(sK94) )
| sP63 )
& ~ v__1(sK95,prev_2,nn)
& node_next(nn) = sK95
& object(sK95) )
| ~ sP64 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK94,sK95])],[f251,f253,f252]) ).
fof(f252,plain,
( ? [X0] :
( node_next(nn) = X0
& v__1(X0,nn,nn)
& object(X0) )
=> ( node_next(nn) = sK94
& v__1(sK94,nn,nn)
& object(sK94) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X1] :
( ~ v__1(X1,prev_2,nn)
& node_next(nn) = X1
& object(X1) )
=> ( ~ v__1(sK95,prev_2,nn)
& node_next(nn) = sK95
& object(sK95) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ( ( ? [X0] :
( node_next(nn) = X0
& v__1(X0,nn,nn)
& object(X0) )
| sP63 )
& ? [X1] :
( ~ v__1(X1,prev_2,nn)
& node_next(nn) = X1
& object(X1) ) )
| ~ sP64 ),
inference(rectify,[],[f250]) ).
fof(f250,plain,
( ( ( ? [X8] :
( node_next(nn) = X8
& v__1(X8,nn,nn)
& object(X8) )
| sP63 )
& ? [X10] :
( ~ v__1(X10,prev_2,nn)
& node_next(nn) = X10
& object(X10) ) )
| ~ sP64 ),
inference(nnf_transformation,[],[f184]) ).
fof(f1312,plain,
( ~ spl158_21
| spl158_55
| spl158_57 ),
inference(avatar_split_clause,[],[f541,f1309,f1300,f1129]) ).
fof(f541,plain,
( v__1(sK94,nn,nn)
| sP63
| ~ sP64 ),
inference(cnf_transformation,[],[f254]) ).
fof(f1307,plain,
( ~ spl158_21
| spl158_55
| spl158_56 ),
inference(avatar_split_clause,[],[f542,f1304,f1300,f1129]) ).
fof(f542,plain,
( node_next(nn) = sK94
| sP63
| ~ sP64 ),
inference(cnf_transformation,[],[f254]) ).
fof(f1172,plain,
( spl158_29
| spl158_18
| spl158_15 ),
inference(avatar_split_clause,[],[f505,f1102,f1115,f1169]) ).
fof(f505,plain,
! [X0] :
( v__1(null,prev_2,prev_2)
| v__1(null,prev_2,nn)
| ~ sP71(X0) ),
inference(cnf_transformation,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& node_next(nn) = sK84(X0)
& v__1(sK84(X0),X0,nn)
& object(sK84(X0))
& sP55
& nn != prev_2 )
| ~ sP71(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK84])],[f220,f221]) ).
fof(f221,plain,
! [X0] :
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
=> ( node_next(nn) = sK84(X0)
& v__1(sK84(X0),X0,nn)
& object(sK84(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ? [X1] :
( node_next(nn) = X1
& v__1(X1,X0,nn)
& object(X1) )
& sP55
& nn != prev_2 )
| ~ sP71(X0) ),
inference(rectify,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& ? [X26] :
( node_next(nn) = X26
& v__1(X26,X0,nn)
& object(X26) )
& sP55
& nn != prev_2 )
| ~ sP71(X0) ),
inference(nnf_transformation,[],[f191]) ).
fof(f1147,plain,
( spl158_24
| spl158_18
| spl158_15 ),
inference(avatar_split_clause,[],[f498,f1102,f1115,f1144]) ).
fof(f498,plain,
! [X0] :
( v__1(null,prev_2,prev_2)
| v__1(null,prev_2,nn)
| ~ sP72(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( sP56
| ( node_next(nn) = sK83
& v__1(sK83,nn,prev_2)
& object(sK83) ) )
& nn != prev_2 )
| ~ sP72(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK83])],[f216,f217]) ).
fof(f217,plain,
( ? [X1] :
( node_next(nn) = X1
& v__1(X1,nn,prev_2)
& object(X1) )
=> ( node_next(nn) = sK83
& v__1(sK83,nn,prev_2)
& object(sK83) ) ),
introduced(choice_axiom,[]) ).
fof(f216,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( sP56
| ? [X1] :
( node_next(nn) = X1
& v__1(X1,nn,prev_2)
& object(X1) ) )
& nn != prev_2 )
| ~ sP72(X0) ),
inference(rectify,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ( ( ( ~ v__1(null,nn,nn)
& v__1(null,prev_2,prev_2) )
| v__1(null,prev_2,nn) )
& v__1(null,X0,prev_2)
& ( sP56
| ? [X25] :
( node_next(nn) = X25
& v__1(X25,nn,prev_2)
& object(X25) ) )
& nn != prev_2 )
| ~ sP72(X0) ),
inference(nnf_transformation,[],[f192]) ).
fof(f1137,plain,
( spl158_13
| spl158_22
| spl158_21 ),
inference(avatar_split_clause,[],[f488,f1129,f1134,f1095]) ).
fof(f488,plain,
! [X0] :
( sP64
| node_next(nn) = sK82
| ~ sP73(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1132,plain,
( spl158_13
| ~ spl158_20
| spl158_21 ),
inference(avatar_split_clause,[],[f489,f1129,f1125,f1095]) ).
fof(f489,plain,
! [X0] :
( sP64
| ~ v__1(sK82,prev_2,prev_2)
| ~ sP73(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f1093,plain,
( spl158_12
| spl158_9
| spl158_10 ),
inference(avatar_split_clause,[],[f477,f1081,f1077,f1090]) ).
fof(f477,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| sP53
| object(sK78)
| ~ sP75(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1088,plain,
( spl158_11
| spl158_9
| spl158_10 ),
inference(avatar_split_clause,[],[f478,f1081,f1077,f1085]) ).
fof(f478,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| sP53
| v__1(sK78,prev_2,nn)
| ~ sP75(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1083,plain,
( spl158_8
| spl158_9
| spl158_10 ),
inference(avatar_split_clause,[],[f479,f1081,f1077,f1073]) ).
fof(f479,plain,
! [X0] :
( sP73(X0)
| sP72(X0)
| sP71(X0)
| sP53
| node_next(nn) = sK78
| ~ sP75(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f1062,plain,
( ~ spl158_2
| spl158_5 ),
inference(avatar_split_clause,[],[f462,f1060,f1047]) ).
fof(f462,plain,
! [X0] :
( sP1(X0)
| sP0(X0)
| ~ v__1(sortedList_first,nn,nn)
| v__1(sortedList_first,X0,nn)
| ~ sP77(X0) ),
inference(cnf_transformation,[],[f199]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWW095+1 : TPTP v8.2.0. Released v5.2.0.
% 0.11/0.12 % Command : run_vampire %s %d THM
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Wed Jun 19 06:59:54 EDT 2024
% 0.11/0.33 % CPUTime :
% 0.11/0.34 This is a FOF_THM_RFO_SEQ problem
% 0.11/0.35 Running first-order theorem proving
% 0.11/0.35 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.39 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.39 % (25932)lrs+1011_1:12_anc=none:drc=off:sil=64000:sims=off:sp=unary_first:spb=goal_then_units:lsd=20:rnwc=on:nwc=2.0:i=53554:add=off:awrs=converge:bd=off:uhcvi=on:tgt=ground:afp=300:afq=1.63_0 on theBenchmark for (2999ds/53554Mi)
% 0.20/0.42 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25936)dis+1011_3:1_sil=256000:tgt=ground:sac=on:i=109:sd=1:ss=included_0 on theBenchmark for (2999ds/109Mi)
% 0.20/0.42 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25938)dis+1010_159245:1048576_to=lpo:sil=2000:etr=on:sp=unary_frequency:spb=goal:rnwc=on:nwc=10.9066:st=2:i=124:sd=1:nm=3:av=off:ss=axioms:rawr=on:drc=encompass:foolp=on:sgt=5:cond=fast:er=filter:erape=on:erml=2:s2a=on_0 on theBenchmark for (2999ds/124Mi)
% 0.20/0.42 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (25937)dis+1010_1:1_sil=2000:nwc=3.0:s2a=on:i=132:ins=5:fsr=off:ss=axioms:sd=2:fd=off_0 on theBenchmark for (2999ds/132Mi)
% 0.20/0.43 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.43 % (25933)dis+11_1:1_nwc=5.0:s2a=on:i=66616:s2at=3.0:sil=128000:bd=off_0 on theBenchmark for (2999ds/66616Mi)
% 0.20/0.44 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (25935)lrs+10_1:3_drc=off:sil=256000:sp=unary_first:lwlo=on:i=216875:kws=precedence:ins=3:rawr=on:nwc=10.0_0 on theBenchmark for (2999ds/216875Mi)
% 0.20/0.44 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (25934)lrs+1010_2201:262144_anc=all:drc=encompass:sil=256000:sims=off:sp=frequency:spb=goal_then_units:rp=on:lwlo=on:st=3.0:i=179501:bs=unit_only:nm=6:ins=2:fsd=on:ss=axioms:sgt=16:afr=on:tgt=ground:awrs=decay:awrsf=200:acc=on:ccuc=first_0 on theBenchmark for (2999ds/179501Mi)
% 0.20/0.48 % (25938)Instruction limit reached!
% 0.20/0.48 % (25938)------------------------------
% 0.20/0.48 % (25938)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.48 % (25938)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.48 % (25938)Termination reason: Time limit
% 0.20/0.48 % (25938)Termination phase: Saturation
% 0.20/0.48
% 0.20/0.48 % (25938)Memory used [KB]: 2598
% 0.20/0.48 % (25938)Time elapsed: 0.063 s
% 0.20/0.48 % (25938)Instructions burned: 124 (million)
% 0.20/0.49 % (25936)Instruction limit reached!
% 0.20/0.49 % (25936)------------------------------
% 0.20/0.49 % (25936)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.49 % (25936)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.49 % (25936)Termination reason: Time limit
% 0.20/0.49 % (25936)Termination phase: Saturation
% 0.20/0.49
% 0.20/0.49 % (25936)Memory used [KB]: 2574
% 0.20/0.49 % (25936)Time elapsed: 0.071 s
% 0.20/0.49 % (25936)Instructions burned: 110 (million)
% 0.20/0.50 % (25937)Instruction limit reached!
% 0.20/0.50 % (25937)------------------------------
% 0.20/0.50 % (25937)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.20/0.50 % (25937)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.20/0.50 % (25937)Termination reason: Time limit
% 0.20/0.50 % (25937)Termination phase: Saturation
% 0.20/0.50
% 0.20/0.50 % (25937)Memory used [KB]: 3557
% 0.20/0.50 % (25937)Time elapsed: 0.087 s
% 0.20/0.50 % (25937)Instructions burned: 133 (million)
% 0.20/0.53 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.53 % (25951)lrs+1011_1:1_sil=16000:sos=on:erd=off:i=126:nm=2:ep=RST_0 on theBenchmark for (2998ds/126Mi)
% 0.20/0.56 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.56 % (25952)lrs+1011_1:1_sil=8000:sp=occurrence:nwc=10.0:st=1.5:i=145:ss=axioms:sgt=4_0 on theBenchmark for (2998ds/145Mi)
% 0.20/0.58 % (25930)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.58 % (25960)ott+1002_2835555:1048576_to=lpo:sil=2000:sos=on:fs=off:nwc=10.3801:avsqc=3:updr=off:avsq=on:st=2:s2a=on:i=173:s2at=3:afp=10000:aac=none:avsqr=13357983,1048576:awrs=converge:awrsf=460:bd=off:nm=13:ins=2:fsr=off:amm=sco:afq=1.16719:ss=axioms:rawr=on:fd=off_0 on theBenchmark for (2998ds/173Mi)
% 1.69/0.60 % (25951)Instruction limit reached!
% 1.69/0.60 % (25951)------------------------------
% 1.69/0.60 % (25951)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.69/0.60 % (25951)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.69/0.60 % (25951)Termination reason: Time limit
% 1.69/0.60 % (25951)Termination phase: Saturation
% 1.69/0.60
% 1.69/0.60 % (25951)Memory used [KB]: 3255
% 1.69/0.60 % (25951)Time elapsed: 0.071 s
% 1.69/0.60 % (25951)Instructions burned: 127 (million)
% 1.91/0.63 % (25952)Instruction limit reached!
% 1.91/0.63 % (25952)------------------------------
% 1.91/0.63 % (25952)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.63 % (25952)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.63 % (25952)Termination reason: Time limit
% 1.91/0.63 % (25952)Termination phase: Saturation
% 1.91/0.63
% 1.91/0.63 % (25952)Memory used [KB]: 3268
% 1.91/0.63 % (25952)Time elapsed: 0.093 s
% 1.91/0.63 % (25952)Instructions burned: 146 (million)
% 1.91/0.66 % (25930)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.66 % (25962)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=226:nm=2_0 on theBenchmark for (2997ds/226Mi)
% 1.91/0.67 % (25960)Instruction limit reached!
% 1.91/0.67 % (25960)------------------------------
% 1.91/0.67 % (25960)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.91/0.67 % (25960)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.91/0.67 % (25960)Termination reason: Time limit
% 1.91/0.67 % (25960)Termination phase: Saturation
% 1.91/0.67
% 1.91/0.67 % (25960)Memory used [KB]: 6486
% 1.91/0.67 % (25960)Time elapsed: 0.132 s
% 1.91/0.67 % (25960)Instructions burned: 173 (million)
% 1.91/0.70 % (25930)Running in auto input_syntax mode. Trying TPTP
% 1.91/0.70 % (25963)dis+1011_1:1_sil=16000:nwc=7.0:s2agt=64:s2a=on:i=247:ss=axioms:sgt=8:lsd=50:sd=7_0 on theBenchmark for (2997ds/247Mi)
% 2.28/0.73 % (25930)Running in auto input_syntax mode. Trying TPTP
% 2.28/0.73 % (25964)lrs+2_1:1_sil=2000:sos=on:urr=on:i=230:kws=inv_frequency:ss=axioms:sd=3:avsq=on:br=off_0 on theBenchmark for (2997ds/230Mi)
% 2.54/0.79 % (25962)Instruction limit reached!
% 2.54/0.79 % (25962)------------------------------
% 2.54/0.79 % (25962)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.54/0.79 % (25962)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.54/0.79 % (25962)Termination reason: Time limit
% 2.54/0.79 % (25962)Termination phase: Saturation
% 2.54/0.79
% 2.54/0.79 % (25962)Memory used [KB]: 3971
% 2.54/0.79 % (25962)Time elapsed: 0.129 s
% 2.54/0.79 % (25962)Instructions burned: 227 (million)
% 2.54/0.82 % (25963)Instruction limit reached!
% 2.54/0.82 % (25963)------------------------------
% 2.54/0.82 % (25963)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.54/0.82 % (25963)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.54/0.82 % (25963)Termination reason: Time limit
% 2.54/0.82 % (25963)Termination phase: Saturation
% 2.54/0.82
% 2.54/0.82 % (25963)Memory used [KB]: 3860
% 2.54/0.82 % (25963)Time elapsed: 0.142 s
% 2.54/0.82 % (25963)Instructions burned: 248 (million)
% 2.54/0.85 % (25930)Running in auto input_syntax mode. Trying TPTP
% 2.54/0.85 % (25965)dis-1010_76381:524288_drc=off:sil=4000:irw=on:sp=frequency:lma=on:spb=goal:rnwc=on:gs=on:nwc=13.9901:s2agt=10:kmz=on:updr=off:sac=on:newcnf=on:gsem=on:cond=fast:s2a=on:i=231:s2at=6:kws=inv_frequency:awrs=converge:awrsf=968:bd=off:nm=10:rawr=on:sfv=off:alpa=random_0 on theBenchmark for (2995ds/231Mi)
% 2.54/0.85 % (25964)Instruction limit reached!
% 2.54/0.85 % (25964)------------------------------
% 2.54/0.85 % (25964)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.54/0.85 % (25964)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.54/0.85 % (25964)Termination reason: Time limit
% 2.54/0.85 % (25964)Termination phase: Saturation
% 2.54/0.85
% 2.54/0.85 % (25964)Memory used [KB]: 3448
% 2.54/0.85 % (25964)Time elapsed: 0.149 s
% 2.54/0.85 % (25964)Instructions burned: 231 (million)
% 3.44/0.87 % (25930)Running in auto input_syntax mode. Trying TPTP
% 3.44/0.87 % (25966)lrs+1011_1:1_sil=8000:nicw=on:i=532:sd=1:ss=axioms:sgt=64_0 on theBenchmark for (2995ds/532Mi)
% 3.67/0.92 % (25930)Running in auto input_syntax mode. Trying TPTP
% 3.67/0.92 % (25967)dis-1010_1:2_bsr=unit_only:sil=32000:tgt=full:i=1280:nm=16:bd=off_0 on theBenchmark for (2994ds/1280Mi)
% 3.74/0.97 % (25965)Instruction limit reached!
% 3.74/0.97 % (25965)------------------------------
% 3.74/0.97 % (25965)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.74/0.97 % (25965)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.74/0.97 % (25965)Termination reason: Time limit
% 3.74/0.97 % (25965)Termination phase: Saturation
% 3.74/0.97
% 3.74/0.97 % (25965)Memory used [KB]: 6346
% 3.74/0.97 % (25965)Time elapsed: 0.144 s
% 3.74/0.97 % (25965)Instructions burned: 232 (million)
% 4.24/1.02 % (25930)Running in auto input_syntax mode. Trying TPTP
% 4.24/1.02 % (25968)dis+1011_1:16_sil=2000:plsq=on:sos=on:st=3.0:i=134:sd=1:av=off:ss=axioms:lsd=10:plsql=on_0 on theBenchmark for (2993ds/134Mi)
% 4.48/1.09 % (25968)Instruction limit reached!
% 4.48/1.09 % (25968)------------------------------
% 4.48/1.09 % (25968)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.48/1.09 % (25968)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.48/1.09 % (25968)Termination reason: Time limit
% 4.48/1.09 % (25968)Termination phase: Saturation
% 4.48/1.09
% 4.48/1.09 % (25968)Memory used [KB]: 2767
% 4.48/1.09 % (25968)Time elapsed: 0.067 s
% 4.48/1.09 % (25968)Instructions burned: 134 (million)
% 4.48/1.10 % (25966)First to succeed.
% 4.48/1.11 % (25966)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-25930"
% 4.48/1.12 % (25930)Running in auto input_syntax mode. Trying TPTP
% 4.48/1.12 % (25966)Refutation found. Thanks to Tanya!
% 4.48/1.12 % SZS status Theorem for theBenchmark
% 4.48/1.12 % SZS output start Proof for theBenchmark
% See solution above
% 4.48/1.12 % (25966)------------------------------
% 4.48/1.12 % (25966)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.48/1.12 % (25966)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.48/1.12 % (25966)Termination reason: Refutation
% 4.48/1.12
% 4.48/1.12 % (25966)Memory used [KB]: 4106
% 4.48/1.12 % (25966)Time elapsed: 0.244 s
% 4.48/1.12 % (25966)Instructions burned: 545 (million)
% 4.48/1.12 % (25966)------------------------------
% 4.48/1.12 % (25966)------------------------------
% 4.48/1.12 % (25930)Success in time 0.762 s
%------------------------------------------------------------------------------