TSTP Solution File: SWC081+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC081+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.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 : Wed Aug 31 18:41:37 EDT 2022
% Result : Theorem 11.71s 1.90s
% Output : Refutation 12.43s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 322
% Syntax : Number of formulae : 1163 ( 49 unt; 0 def)
% Number of atoms : 3894 ( 661 equ)
% Maximal formula atoms : 34 ( 3 avg)
% Number of connectives : 4834 (2103 ~;2127 |; 226 &)
% ( 290 <=>; 88 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 289 ( 287 usr; 273 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 603 ( 532 !; 71 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3319,plain,
$false,
inference(avatar_smt_refutation,[],[f592,f601,f602,f607,f612,f621,f630,f635,f640,f645,f650,f651,f656,f657,f661,f666,f671,f673,f678,f683,f688,f693,f695,f700,f701,f706,f709,f710,f715,f723,f753,f762,f783,f787,f792,f802,f812,f824,f825,f829,f842,f846,f860,f862,f867,f878,f886,f899,f904,f909,f914,f919,f932,f937,f942,f947,f954,f961,f966,f985,f994,f1005,f1028,f1048,f1053,f1058,f1063,f1068,f1073,f1095,f1100,f1105,f1110,f1115,f1142,f1144,f1153,f1158,f1164,f1169,f1192,f1208,f1215,f1220,f1222,f1231,f1236,f1242,f1247,f1275,f1280,f1289,f1298,f1303,f1333,f1339,f1344,f1349,f1354,f1359,f1364,f1369,f1374,f1379,f1384,f1389,f1394,f1401,f1407,f1413,f1419,f1425,f1427,f1433,f1447,f1514,f1519,f1524,f1529,f1534,f1537,f1544,f1545,f1546,f1547,f1552,f1557,f1576,f1581,f1586,f1591,f1596,f1601,f1715,f1721,f1725,f1747,f1752,f1761,f1766,f1771,f1776,f1781,f1795,f1872,f1880,f1887,f1896,f1906,f1920,f1927,f1935,f1946,f1952,f1961,f1967,f1973,f1979,f1981,f1987,f1993,f2002,f2008,f2010,f2013,f2015,f2065,f2066,f2088,f2092,f2109,f2115,f2132,f2136,f2179,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2235,f2244,f2288,f2292,f2296,f2300,f2301,f2305,f2309,f2310,f2314,f2337,f2341,f2345,f2346,f2350,f2351,f2356,f2360,f2364,f2387,f2392,f2396,f2397,f2401,f2405,f2409,f2410,f2414,f2421,f2424,f2441,f2446,f2451,f2456,f2461,f2470,f2475,f2487,f2491,f2498,f2503,f2505,f2523,f2528,f2532,f2551,f2555,f2559,f2578,f2582,f2586,f2603,f2608,f2617,f2622,f2627,f2632,f2637,f2656,f2660,f2664,f2666,f2685,f2689,f2693,f2716,f2720,f2724,f2726,f2730,f2741,f2832,f2841,f2855,f2862,f2889,f2937,f2942,f2943,f2944,f2949,f3012,f3017,f3026,f3031,f3036,f3041,f3046,f3068,f3107,f3150,f3155,f3160,f3169,f3174,f3179,f3184,f3200,f3245,f3275,f3279,f3283,f3288,f3303,f3304,f3309,f3313,f3318]) ).
fof(f3318,plain,
( ~ spl52_272
| ~ spl52_10
| spl52_29
| ~ spl52_16
| ~ spl52_201 ),
inference(avatar_split_clause,[],[f3299,f2500,f663,f759,f632,f3315]) ).
fof(f3315,plain,
( spl52_272
<=> segmentP(sK33,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_272])]) ).
fof(f632,plain,
( spl52_10
<=> ssList(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f759,plain,
( spl52_29
<=> sK33 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f663,plain,
( spl52_16
<=> ssList(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f2500,plain,
( spl52_201
<=> segmentP(sK30,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_201])]) ).
fof(f3299,plain,
( ~ ssList(sK33)
| sK33 = sK30
| ~ ssList(sK30)
| ~ segmentP(sK33,sK30)
| ~ spl52_201 ),
inference(resolution,[],[f2502,f482]) ).
fof(f482,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ segmentP(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ segmentP(X1,X0) ) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f2502,plain,
( segmentP(sK30,sK33)
| ~ spl52_201 ),
inference(avatar_component_clause,[],[f2500]) ).
fof(f3313,plain,
( ~ spl52_10
| ~ spl52_16
| spl52_271
| ~ spl52_201 ),
inference(avatar_split_clause,[],[f3296,f2500,f3311,f663,f632]) ).
fof(f3311,plain,
( spl52_271
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,app(sK30,X1)),sK33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_271])]) ).
fof(f3296,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(sK33)
| ~ ssList(sK30)
| segmentP(app(X0,app(sK30,X1)),sK33)
| ~ ssList(X0) )
| ~ spl52_201 ),
inference(resolution,[],[f2502,f672]) ).
fof(f672,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| segmentP(app(X2,app(X0,X3)),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X0) ),
inference(forward_subsumption_demodulation,[],[f448,f495]) ).
fof(f495,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f448,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1) ),
inference(cnf_transformation,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ segmentP(X0,X1)
| segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X3) ) ) ) ),
inference(flattening,[],[f163]) ).
fof(f163,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f3309,plain,
( ~ spl52_16
| spl52_270
| ~ spl52_10
| ~ spl52_201 ),
inference(avatar_split_clause,[],[f3297,f2500,f632,f3306,f663]) ).
fof(f3306,plain,
( spl52_270
<=> app(app(sK49(sK30,sK33),sK33),sK50(sK30,sK33)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_270])]) ).
fof(f3297,plain,
( ~ ssList(sK30)
| app(app(sK49(sK30,sK33),sK33),sK50(sK30,sK33)) = sK30
| ~ ssList(sK33)
| ~ spl52_201 ),
inference(resolution,[],[f2502,f502]) ).
fof(f502,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK49(X0,X1),X1),sK50(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f322,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( app(app(sK49(X0,X1),X1),sK50(X0,X1)) = X0
& ssList(sK50(X0,X1))
& ssList(sK49(X0,X1)) )
| ~ segmentP(X0,X1) )
& ( segmentP(X0,X1)
| ! [X4] :
( ! [X5] :
( app(app(X4,X1),X5) != X0
| ~ ssList(X5) )
| ~ ssList(X4) ) ) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50])],[f319,f321,f320]) ).
fof(f320,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( app(app(sK49(X0,X1),X1),X3) = X0
& ssList(X3) )
& ssList(sK49(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
! [X0,X1] :
( ? [X3] :
( app(app(sK49(X0,X1),X1),X3) = X0
& ssList(X3) )
=> ( app(app(sK49(X0,X1),X1),sK50(X0,X1)) = X0
& ssList(sK50(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) )
& ( segmentP(X0,X1)
| ! [X4] :
( ! [X5] :
( app(app(X4,X1),X5) != X0
| ~ ssList(X5) )
| ~ ssList(X4) ) ) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f318]) ).
fof(f318,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) )
& ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
<=> segmentP(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
<=> segmentP(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f3304,plain,
( ~ spl52_16
| ~ spl52_6
| ~ spl52_198
| ~ spl52_201 ),
inference(avatar_split_clause,[],[f3295,f2500,f2484,f614,f663]) ).
fof(f614,plain,
( spl52_6
<=> neq(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f2484,plain,
( spl52_198
<=> segmentP(sK29,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).
fof(f3295,plain,
( ~ segmentP(sK29,sK33)
| ~ neq(sK33,nil)
| ~ ssList(sK33)
| ~ spl52_201 ),
inference(resolution,[],[f2502,f424]) ).
fof(f424,plain,
! [X5] :
( ~ segmentP(sK30,X5)
| ~ neq(X5,nil)
| ~ ssList(X5)
| ~ segmentP(sK29,X5) ),
inference(cnf_transformation,[],[f283]) ).
fof(f283,plain,
( ssList(sK29)
& ssList(sK30)
& ( ( frontsegP(sK31,sK33)
& frontsegP(sK32,sK33)
& ssList(sK33)
& neq(sK33,nil) )
| ( nil = sK31
& nil = sK32 ) )
& ssList(sK32)
& ! [X5] :
( ~ segmentP(sK30,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(sK30,nil)
& sK31 = sK29
& sK32 = sK30
& ssList(sK31) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29,sK30,sK31,sK32,sK33])],[f220,f282,f281,f280,f279,f278]) ).
fof(f278,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ? [X4] :
( frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = X2
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(X1,X5)
| ~ segmentP(X0,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil)
& X0 = X2
& X1 = X3 )
& ssList(X2) ) ) )
=> ( ssList(sK29)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ? [X4] :
( frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = X2
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(X1,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil)
& sK29 = X2
& X1 = X3 )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ? [X4] :
( frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = X2
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(X1,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil)
& sK29 = X2
& X1 = X3 )
& ssList(X2) ) )
=> ( ssList(sK30)
& ? [X2] :
( ? [X3] :
( ( ? [X4] :
( frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = X2
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(sK30,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(sK30,nil)
& sK29 = X2
& sK30 = X3 )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f280,plain,
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = X2
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(sK30,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(sK30,nil)
& sK29 = X2
& sK30 = X3 )
& ssList(X2) )
=> ( ? [X3] :
( ( ? [X4] :
( frontsegP(sK31,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = sK31
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(sK30,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(sK30,nil)
& sK31 = sK29
& sK30 = X3 )
& ssList(sK31) ) ),
introduced(choice_axiom,[]) ).
fof(f281,plain,
( ? [X3] :
( ( ? [X4] :
( frontsegP(sK31,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = sK31
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(sK30,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(sK30,nil)
& sK31 = sK29
& sK30 = X3 )
=> ( ( ? [X4] :
( frontsegP(sK31,X4)
& frontsegP(sK32,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = sK31
& nil = sK32 ) )
& ssList(sK32)
& ! [X5] :
( ~ segmentP(sK30,X5)
| ~ segmentP(sK29,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(sK30,nil)
& sK31 = sK29
& sK32 = sK30 ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
( ? [X4] :
( frontsegP(sK31,X4)
& frontsegP(sK32,X4)
& ssList(X4)
& neq(X4,nil) )
=> ( frontsegP(sK31,sK33)
& frontsegP(sK32,sK33)
& ssList(sK33)
& neq(sK33,nil) ) ),
introduced(choice_axiom,[]) ).
fof(f220,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ( ? [X4] :
( frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4)
& neq(X4,nil) )
| ( nil = X2
& nil = X3 ) )
& ssList(X3)
& ! [X5] :
( ~ segmentP(X1,X5)
| ~ segmentP(X0,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& neq(X1,nil)
& X0 = X2
& X1 = X3 )
& ssList(X2) ) ) ),
inference(flattening,[],[f219]) ).
fof(f219,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( neq(X4,nil)
& frontsegP(X2,X4)
& frontsegP(X3,X4)
& ssList(X4) ) )
& ! [X5] :
( ~ segmentP(X1,X5)
| ~ segmentP(X0,X5)
| ~ neq(X5,nil)
| ~ ssList(X5) )
& X1 = X3
& neq(X1,nil)
& X0 = X2
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X3
| nil != X2 )
& ! [X4] :
( ssList(X4)
=> ( ~ neq(X4,nil)
| ~ frontsegP(X2,X4)
| ~ frontsegP(X3,X4) ) ) )
| ? [X5] :
( segmentP(X0,X5)
& segmentP(X1,X5)
& neq(X5,nil)
& ssList(X5) )
| X1 != X3
| ~ neq(X1,nil)
| X0 != X2 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| X0 != X2
| ( ( nil != X3
| nil != X2 )
& ! [X5] :
( ssList(X5)
=> ( ~ frontsegP(X2,X5)
| ~ frontsegP(X3,X5)
| ~ neq(X5,nil) ) ) )
| X1 != X3
| ? [X4] :
( ssList(X4)
& segmentP(X1,X4)
& neq(X4,nil)
& segmentP(X0,X4) ) ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ neq(X1,nil)
| X0 != X2
| ( ( nil != X3
| nil != X2 )
& ! [X5] :
( ssList(X5)
=> ( ~ frontsegP(X2,X5)
| ~ frontsegP(X3,X5)
| ~ neq(X5,nil) ) ) )
| X1 != X3
| ? [X4] :
( ssList(X4)
& segmentP(X1,X4)
& neq(X4,nil)
& segmentP(X0,X4) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f3303,plain,
( ~ spl52_10
| ~ spl52_16
| spl52_269
| ~ spl52_201 ),
inference(avatar_split_clause,[],[f3298,f2500,f3301,f663,f632]) ).
fof(f3301,plain,
( spl52_269
<=> ! [X2] :
( ~ ssList(X2)
| ~ segmentP(sK33,X2)
| segmentP(sK30,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_269])]) ).
fof(f3298,plain,
( ! [X2] :
( ~ ssList(X2)
| segmentP(sK30,X2)
| ~ ssList(sK33)
| ~ segmentP(sK33,X2)
| ~ ssList(sK30) )
| ~ spl52_201 ),
inference(resolution,[],[f2502,f446]) ).
fof(f446,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) ) ) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f3288,plain,
( spl52_268
| ~ spl52_16
| ~ spl52_11
| ~ spl52_198 ),
inference(avatar_split_clause,[],[f3268,f2484,f637,f663,f3285]) ).
fof(f3285,plain,
( spl52_268
<=> app(app(sK49(sK29,sK33),sK33),sK50(sK29,sK33)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_268])]) ).
fof(f637,plain,
( spl52_11
<=> ssList(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f3268,plain,
( ~ ssList(sK29)
| ~ ssList(sK33)
| app(app(sK49(sK29,sK33),sK33),sK50(sK29,sK33)) = sK29
| ~ spl52_198 ),
inference(resolution,[],[f2486,f502]) ).
fof(f2486,plain,
( segmentP(sK29,sK33)
| ~ spl52_198 ),
inference(avatar_component_clause,[],[f2484]) ).
fof(f3283,plain,
( ~ spl52_16
| ~ spl52_11
| spl52_267
| ~ spl52_198 ),
inference(avatar_split_clause,[],[f3267,f2484,f3281,f637,f663]) ).
fof(f3281,plain,
( spl52_267
<=> ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(X0)
| segmentP(app(X0,app(sK29,X1)),sK33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_267])]) ).
fof(f3267,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssList(sK29)
| ~ ssList(X0)
| segmentP(app(X0,app(sK29,X1)),sK33)
| ~ ssList(sK33) )
| ~ spl52_198 ),
inference(resolution,[],[f2486,f672]) ).
fof(f3279,plain,
( ~ spl52_11
| spl52_266
| ~ spl52_16
| ~ spl52_198 ),
inference(avatar_split_clause,[],[f3269,f2484,f663,f3277,f637]) ).
fof(f3277,plain,
( spl52_266
<=> ! [X2] :
( ~ segmentP(sK33,X2)
| segmentP(sK29,X2)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_266])]) ).
fof(f3269,plain,
( ! [X2] :
( ~ ssList(sK33)
| ~ segmentP(sK33,X2)
| ~ ssList(X2)
| segmentP(sK29,X2)
| ~ ssList(sK29) )
| ~ spl52_198 ),
inference(resolution,[],[f2486,f446]) ).
fof(f3275,plain,
( spl52_27
| ~ spl52_265
| ~ spl52_16
| ~ spl52_11
| ~ spl52_198 ),
inference(avatar_split_clause,[],[f3270,f2484,f637,f663,f3272,f750]) ).
fof(f750,plain,
( spl52_27
<=> sK33 = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).
fof(f3272,plain,
( spl52_265
<=> segmentP(sK33,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_265])]) ).
fof(f3270,plain,
( ~ ssList(sK29)
| ~ ssList(sK33)
| ~ segmentP(sK33,sK29)
| sK33 = sK29
| ~ spl52_198 ),
inference(resolution,[],[f2486,f482]) ).
fof(f3245,plain,
( spl52_8
| ~ spl52_11
| spl52_182 ),
inference(avatar_split_clause,[],[f3244,f2381,f637,f623]) ).
fof(f623,plain,
( spl52_8
<=> nil = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f2381,plain,
( spl52_182
<=> ssItem(sK35(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).
fof(f3244,plain,
( ~ ssList(sK29)
| nil = sK29
| spl52_182 ),
inference(resolution,[],[f2383,f441]) ).
fof(f441,plain,
! [X0] :
( ssItem(sK35(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ~ ssList(X0)
| ( ssList(sK34(X0))
& ssItem(sK35(X0))
& cons(sK35(X0),sK34(X0)) = X0 )
| nil = X0 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35])],[f167,f285,f284]) ).
fof(f284,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
=> ( ssList(sK34(X0))
& ? [X2] :
( ssItem(X2)
& cons(X2,sK34(X0)) = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f285,plain,
! [X0] :
( ? [X2] :
( ssItem(X2)
& cons(X2,sK34(X0)) = X0 )
=> ( ssItem(sK35(X0))
& cons(sK35(X0),sK34(X0)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f167,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| nil = X0 ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( ssItem(X2)
& cons(X2,X1) = X0 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f2383,plain,
( ~ ssItem(sK35(sK29))
| spl52_182 ),
inference(avatar_component_clause,[],[f2381]) ).
fof(f3200,plain,
( spl52_264
| ~ spl52_95
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f3185,f3162,f1300,f3197]) ).
fof(f3197,plain,
( spl52_264
<=> cons(sK35(sK29),nil) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_264])]) ).
fof(f1300,plain,
( spl52_95
<=> cons(sK35(sK29),sK34(sK29)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f3162,plain,
( spl52_259
<=> nil = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_259])]) ).
fof(f3185,plain,
( cons(sK35(sK29),nil) = sK29
| ~ spl52_95
| ~ spl52_259 ),
inference(backward_demodulation,[],[f1302,f3164]) ).
fof(f3164,plain,
( nil = sK34(sK29)
| ~ spl52_259 ),
inference(avatar_component_clause,[],[f3162]) ).
fof(f1302,plain,
( cons(sK35(sK29),sK34(sK29)) = sK29
| ~ spl52_95 ),
inference(avatar_component_clause,[],[f1300]) ).
fof(f3184,plain,
( spl52_263
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3142,f2377,f3181]) ).
fof(f3181,plain,
( spl52_263
<=> app(app(sK49(sK34(sK29),sK34(sK29)),sK34(sK29)),sK50(sK34(sK29),sK34(sK29))) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_263])]) ).
fof(f2377,plain,
( spl52_181
<=> ssList(sK34(sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).
fof(f3142,plain,
( app(app(sK49(sK34(sK29),sK34(sK29)),sK34(sK29)),sK50(sK34(sK29),sK34(sK29))) = sK34(sK29)
| ~ spl52_181 ),
inference(resolution,[],[f2378,f835]) ).
fof(f835,plain,
! [X1] :
( ~ ssList(X1)
| app(app(sK49(X1,X1),X1),sK50(X1,X1)) = X1 ),
inference(duplicate_literal_removal,[],[f834]) ).
fof(f834,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| app(app(sK49(X1,X1),X1),sK50(X1,X1)) = X1
| ~ ssList(X1) ),
inference(resolution,[],[f502,f530]) ).
fof(f530,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f2378,plain,
( ssList(sK34(sK29))
| ~ spl52_181 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f3179,plain,
( spl52_262
| ~ spl52_31
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3141,f2377,f785,f3176]) ).
fof(f3176,plain,
( spl52_262
<=> app(nil,sK37(sK34(sK29),nil)) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_262])]) ).
fof(f785,plain,
( spl52_31
<=> ! [X4] :
( app(nil,sK37(X4,nil)) = X4
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f3141,plain,
( app(nil,sK37(sK34(sK29),nil)) = sK34(sK29)
| ~ spl52_31
| ~ spl52_181 ),
inference(resolution,[],[f2378,f786]) ).
fof(f786,plain,
( ! [X4] :
( ~ ssList(X4)
| app(nil,sK37(X4,nil)) = X4 )
| ~ spl52_31 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f3174,plain,
( spl52_261
| ~ spl52_39
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3143,f2377,f844,f3171]) ).
fof(f3171,plain,
( spl52_261
<=> app(app(sK49(sK34(sK29),nil),nil),sK50(sK34(sK29),nil)) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_261])]) ).
fof(f844,plain,
( spl52_39
<=> ! [X0] :
( app(app(sK49(X0,nil),nil),sK50(X0,nil)) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f3143,plain,
( app(app(sK49(sK34(sK29),nil),nil),sK50(sK34(sK29),nil)) = sK34(sK29)
| ~ spl52_39
| ~ spl52_181 ),
inference(resolution,[],[f2378,f845]) ).
fof(f845,plain,
( ! [X0] :
( ~ ssList(X0)
| app(app(sK49(X0,nil),nil),sK50(X0,nil)) = X0 )
| ~ spl52_39 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f3169,plain,
( spl52_259
| spl52_260
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3136,f2377,f3166,f3162]) ).
fof(f3166,plain,
( spl52_260
<=> cons(sK35(sK34(sK29)),sK34(sK34(sK29))) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_260])]) ).
fof(f3136,plain,
( cons(sK35(sK34(sK29)),sK34(sK34(sK29))) = sK34(sK29)
| nil = sK34(sK29)
| ~ spl52_181 ),
inference(resolution,[],[f2378,f440]) ).
fof(f440,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK35(X0),sK34(X0)) = X0 ),
inference(cnf_transformation,[],[f286]) ).
fof(f3160,plain,
( spl52_258
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3134,f2377,f3157]) ).
fof(f3157,plain,
( spl52_258
<=> app(sK34(sK29),nil) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_258])]) ).
fof(f3134,plain,
( app(sK34(sK29),nil) = sK34(sK29)
| ~ spl52_181 ),
inference(resolution,[],[f2378,f367]) ).
fof(f367,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f3155,plain,
( spl52_257
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3140,f2377,f3152]) ).
fof(f3152,plain,
( spl52_257
<=> app(sK34(sK29),sK37(sK34(sK29),sK34(sK29))) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_257])]) ).
fof(f3140,plain,
( app(sK34(sK29),sK37(sK34(sK29),sK34(sK29))) = sK34(sK29)
| ~ spl52_181 ),
inference(resolution,[],[f2378,f776]) ).
fof(f776,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sK37(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f771]) ).
fof(f771,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sK37(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f452,f460]) ).
fof(f460,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f162]) ).
fof(f162,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f452,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| app(X1,sK37(X0,X1)) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ( ssList(sK37(X0,X1))
& app(X1,sK37(X0,X1)) = X0 )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X3] :
( ~ ssList(X3)
| app(X1,X3) != X0 ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK37])],[f292,f293]) ).
fof(f293,plain,
! [X0,X1] :
( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
=> ( ssList(sK37(X0,X1))
& app(X1,sK37(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f292,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X3] :
( ~ ssList(X3)
| app(X1,X3) != X0 ) ) ) ) ),
inference(rectify,[],[f291]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
| ~ frontsegP(X0,X1) )
& ( frontsegP(X0,X1)
| ! [X2] :
( ~ ssList(X2)
| app(X1,X2) != X0 ) ) ) ) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
<=> frontsegP(X0,X1) ) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ? [X2] :
( ssList(X2)
& app(X1,X2) = X0 )
<=> frontsegP(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f3150,plain,
( spl52_256
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f3135,f2377,f3147]) ).
fof(f3147,plain,
( spl52_256
<=> app(nil,sK34(sK29)) = sK34(sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_256])]) ).
fof(f3135,plain,
( app(nil,sK34(sK29)) = sK34(sK29)
| ~ spl52_181 ),
inference(resolution,[],[f2378,f408]) ).
fof(f408,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f3107,plain,
( ~ spl52_11
| spl52_8
| spl52_181 ),
inference(avatar_split_clause,[],[f3106,f2377,f623,f637]) ).
fof(f3106,plain,
( nil = sK29
| ~ ssList(sK29)
| spl52_181 ),
inference(resolution,[],[f2379,f442]) ).
fof(f442,plain,
! [X0] :
( ssList(sK34(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f286]) ).
fof(f2379,plain,
( ~ ssList(sK34(sK29))
| spl52_181 ),
inference(avatar_component_clause,[],[f2377]) ).
fof(f3068,plain,
( spl52_255
| ~ spl52_91
| ~ spl52_249 ),
inference(avatar_split_clause,[],[f3047,f3019,f1282,f3065]) ).
fof(f3065,plain,
( spl52_255
<=> cons(sK35(sK33),nil) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_255])]) ).
fof(f1282,plain,
( spl52_91
<=> sK33 = cons(sK35(sK33),sK34(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f3019,plain,
( spl52_249
<=> nil = sK34(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_249])]) ).
fof(f3047,plain,
( cons(sK35(sK33),nil) = sK33
| ~ spl52_91
| ~ spl52_249 ),
inference(backward_demodulation,[],[f1284,f3021]) ).
fof(f3021,plain,
( nil = sK34(sK33)
| ~ spl52_249 ),
inference(avatar_component_clause,[],[f3019]) ).
fof(f1284,plain,
( sK33 = cons(sK35(sK33),sK34(sK33))
| ~ spl52_91 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f3046,plain,
( spl52_254
| ~ spl52_39
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f3005,f2331,f844,f3043]) ).
fof(f3043,plain,
( spl52_254
<=> sK34(sK33) = app(app(sK49(sK34(sK33),nil),nil),sK50(sK34(sK33),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_254])]) ).
fof(f2331,plain,
( spl52_173
<=> ssList(sK34(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_173])]) ).
fof(f3005,plain,
( sK34(sK33) = app(app(sK49(sK34(sK33),nil),nil),sK50(sK34(sK33),nil))
| ~ spl52_39
| ~ spl52_173 ),
inference(resolution,[],[f2332,f845]) ).
fof(f2332,plain,
( ssList(sK34(sK33))
| ~ spl52_173 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f3041,plain,
( spl52_253
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f3002,f2331,f3038]) ).
fof(f3038,plain,
( spl52_253
<=> sK34(sK33) = app(sK34(sK33),sK37(sK34(sK33),sK34(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_253])]) ).
fof(f3002,plain,
( sK34(sK33) = app(sK34(sK33),sK37(sK34(sK33),sK34(sK33)))
| ~ spl52_173 ),
inference(resolution,[],[f2332,f776]) ).
fof(f3036,plain,
( spl52_252
| ~ spl52_31
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f3003,f2331,f785,f3033]) ).
fof(f3033,plain,
( spl52_252
<=> sK34(sK33) = app(nil,sK37(sK34(sK33),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_252])]) ).
fof(f3003,plain,
( sK34(sK33) = app(nil,sK37(sK34(sK33),nil))
| ~ spl52_31
| ~ spl52_173 ),
inference(resolution,[],[f2332,f786]) ).
fof(f3031,plain,
( spl52_251
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f2997,f2331,f3028]) ).
fof(f3028,plain,
( spl52_251
<=> app(nil,sK34(sK33)) = sK34(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_251])]) ).
fof(f2997,plain,
( app(nil,sK34(sK33)) = sK34(sK33)
| ~ spl52_173 ),
inference(resolution,[],[f2332,f408]) ).
fof(f3026,plain,
( spl52_249
| spl52_250
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f2998,f2331,f3023,f3019]) ).
fof(f3023,plain,
( spl52_250
<=> sK34(sK33) = cons(sK35(sK34(sK33)),sK34(sK34(sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_250])]) ).
fof(f2998,plain,
( sK34(sK33) = cons(sK35(sK34(sK33)),sK34(sK34(sK33)))
| nil = sK34(sK33)
| ~ spl52_173 ),
inference(resolution,[],[f2332,f440]) ).
fof(f3017,plain,
( spl52_248
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f2996,f2331,f3014]) ).
fof(f3014,plain,
( spl52_248
<=> sK34(sK33) = app(sK34(sK33),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_248])]) ).
fof(f2996,plain,
( sK34(sK33) = app(sK34(sK33),nil)
| ~ spl52_173 ),
inference(resolution,[],[f2332,f367]) ).
fof(f3012,plain,
( spl52_247
| ~ spl52_173 ),
inference(avatar_split_clause,[],[f3004,f2331,f3009]) ).
fof(f3009,plain,
( spl52_247
<=> app(app(sK49(sK34(sK33),sK34(sK33)),sK34(sK33)),sK50(sK34(sK33),sK34(sK33))) = sK34(sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_247])]) ).
fof(f3004,plain,
( app(app(sK49(sK34(sK33),sK34(sK33)),sK34(sK33)),sK50(sK34(sK33),sK34(sK33))) = sK34(sK33)
| ~ spl52_173 ),
inference(resolution,[],[f2332,f835]) ).
fof(f2949,plain,
( ~ spl52_92
| spl52_246
| ~ spl52_230
| ~ spl52_232
| ~ spl52_124 ),
inference(avatar_split_clause,[],[f2668,f1583,f2682,f2674,f2946,f1286]) ).
fof(f1286,plain,
( spl52_92
<=> nil = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f2946,plain,
( spl52_246
<=> nil = sK50(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_246])]) ).
fof(f2674,plain,
( spl52_230
<=> ssList(app(sK49(sK33,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_230])]) ).
fof(f2682,plain,
( spl52_232
<=> ssList(sK50(sK33,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_232])]) ).
fof(f1583,plain,
( spl52_124
<=> app(app(sK49(sK33,nil),nil),sK50(sK33,nil)) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).
fof(f2668,plain,
( ~ ssList(sK50(sK33,nil))
| ~ ssList(app(sK49(sK33,nil),nil))
| nil = sK50(sK33,nil)
| nil != sK33
| ~ spl52_124 ),
inference(superposition,[],[f520,f1585]) ).
fof(f1585,plain,
( app(app(sK49(sK33,nil),nil),sK50(sK33,nil)) = sK33
| ~ spl52_124 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f520,plain,
! [X0,X1] :
( nil != app(X0,X1)
| ~ ssList(X1)
| nil = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f331]) ).
fof(f331,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f2944,plain,
( ~ spl52_154
| ~ spl52_16
| ~ spl52_92
| spl52_155
| ~ spl52_60 ),
inference(avatar_split_clause,[],[f2259,f1045,f1999,f1286,f663,f1995]) ).
fof(f1995,plain,
( spl52_154
<=> ssList(sK37(sK33,sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).
fof(f1999,plain,
( spl52_155
<=> nil = sK37(sK33,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).
fof(f1045,plain,
( spl52_60
<=> app(sK33,sK37(sK33,sK33)) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f2259,plain,
( nil = sK37(sK33,sK33)
| nil != sK33
| ~ ssList(sK33)
| ~ ssList(sK37(sK33,sK33))
| ~ spl52_60 ),
inference(superposition,[],[f520,f1047]) ).
fof(f1047,plain,
( app(sK33,sK37(sK33,sK33)) = sK33
| ~ spl52_60 ),
inference(avatar_component_clause,[],[f1045]) ).
fof(f2943,plain,
( spl52_91
| ~ spl52_131
| ~ spl52_134 ),
inference(avatar_split_clause,[],[f2021,f1758,f1744,f1282]) ).
fof(f1744,plain,
( spl52_131
<=> sK33 = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).
fof(f1758,plain,
( spl52_134
<=> cons(sK35(sK37(sK33,nil)),sK34(sK37(sK33,nil))) = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_134])]) ).
fof(f2021,plain,
( sK33 = cons(sK35(sK33),sK34(sK33))
| ~ spl52_131
| ~ spl52_134 ),
inference(forward_demodulation,[],[f1760,f1746]) ).
fof(f1746,plain,
( sK33 = sK37(sK33,nil)
| ~ spl52_131 ),
inference(avatar_component_clause,[],[f1744]) ).
fof(f1760,plain,
( cons(sK35(sK37(sK33,nil)),sK34(sK37(sK33,nil))) = sK37(sK33,nil)
| ~ spl52_134 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f2942,plain,
( ~ spl52_245
| ~ spl52_145 ),
inference(avatar_split_clause,[],[f2935,f1924,f2939]) ).
fof(f2939,plain,
( spl52_245
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_245])]) ).
fof(f1924,plain,
( spl52_145
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_145])]) ).
fof(f2935,plain,
( ~ ssItem(nil)
| ~ spl52_145 ),
inference(resolution,[],[f1926,f584]) ).
fof(f584,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f569]) ).
fof(f569,plain,
! [X1] :
( ~ ssItem(X1)
| ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f478]) ).
fof(f478,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) ) ) ),
inference(nnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( X0 != X1
<=> neq(X0,X1) ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f1926,plain,
( neq(nil,nil)
| ~ spl52_145 ),
inference(avatar_component_clause,[],[f1924]) ).
fof(f2937,plain,
( ~ spl52_3
| ~ spl52_145 ),
inference(avatar_split_clause,[],[f2936,f1924,f598]) ).
fof(f598,plain,
( spl52_3
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f2936,plain,
( ~ ssList(nil)
| ~ spl52_145 ),
inference(resolution,[],[f1926,f581]) ).
fof(f581,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f560]) ).
fof(f560,plain,
! [X1] :
( ~ ssList(X1)
| ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f391]) ).
fof(f391,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,plain,
! [X0] :
( ! [X1] :
( ( ( X0 != X1
| ~ neq(X0,X1) )
& ( neq(X0,X1)
| X0 = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( X0 != X1
<=> neq(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( X0 != X1
<=> neq(X0,X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f2889,plain,
( ~ spl52_244
| ~ spl52_92
| spl52_178 ),
inference(avatar_split_clause,[],[f2817,f2353,f1286,f2886]) ).
fof(f2886,plain,
( spl52_244
<=> nil = sK34(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_244])]) ).
fof(f2353,plain,
( spl52_178
<=> sK34(sK33) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_178])]) ).
fof(f2817,plain,
( nil != sK34(nil)
| ~ spl52_92
| spl52_178 ),
inference(backward_demodulation,[],[f2355,f1288]) ).
fof(f1288,plain,
( nil = sK33
| ~ spl52_92 ),
inference(avatar_component_clause,[],[f1286]) ).
fof(f2355,plain,
( sK34(sK33) != sK33
| spl52_178 ),
inference(avatar_component_clause,[],[f2353]) ).
fof(f2862,plain,
( ~ spl52_243
| ~ spl52_92
| spl52_172 ),
inference(avatar_split_clause,[],[f2815,f2327,f1286,f2859]) ).
fof(f2859,plain,
( spl52_243
<=> ssItem(sK35(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_243])]) ).
fof(f2327,plain,
( spl52_172
<=> ssItem(sK35(sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_172])]) ).
fof(f2815,plain,
( ~ ssItem(sK35(nil))
| ~ spl52_92
| spl52_172 ),
inference(backward_demodulation,[],[f2329,f1288]) ).
fof(f2329,plain,
( ~ ssItem(sK35(sK33))
| spl52_172 ),
inference(avatar_component_clause,[],[f2327]) ).
fof(f2855,plain,
( spl52_242
| ~ spl52_92
| ~ spl52_201 ),
inference(avatar_split_clause,[],[f2821,f2500,f1286,f2852]) ).
fof(f2852,plain,
( spl52_242
<=> segmentP(sK30,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_242])]) ).
fof(f2821,plain,
( segmentP(sK30,nil)
| ~ spl52_92
| ~ spl52_201 ),
inference(backward_demodulation,[],[f2502,f1288]) ).
fof(f2841,plain,
( ~ spl52_241
| ~ spl52_92
| spl52_173 ),
inference(avatar_split_clause,[],[f2816,f2331,f1286,f2838]) ).
fof(f2838,plain,
( spl52_241
<=> ssList(sK34(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_241])]) ).
fof(f2816,plain,
( ~ ssList(sK34(nil))
| ~ spl52_92
| spl52_173 ),
inference(backward_demodulation,[],[f2333,f1288]) ).
fof(f2333,plain,
( ~ ssList(sK34(sK33))
| spl52_173 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f2832,plain,
( spl52_240
| ~ spl52_92
| ~ spl52_198 ),
inference(avatar_split_clause,[],[f2818,f2484,f1286,f2829]) ).
fof(f2829,plain,
( spl52_240
<=> segmentP(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_240])]) ).
fof(f2818,plain,
( segmentP(sK29,nil)
| ~ spl52_92
| ~ spl52_198 ),
inference(backward_demodulation,[],[f2486,f1288]) ).
fof(f2741,plain,
( spl52_91
| spl52_92
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1435,f663,f1286,f1282]) ).
fof(f1435,plain,
( nil = sK33
| sK33 = cons(sK35(sK33),sK34(sK33))
| ~ spl52_16 ),
inference(resolution,[],[f665,f440]) ).
fof(f665,plain,
( ssList(sK33)
| ~ spl52_16 ),
inference(avatar_component_clause,[],[f663]) ).
fof(f2730,plain,
( spl52_92
| ~ spl52_131
| ~ spl52_133 ),
inference(avatar_split_clause,[],[f2729,f1754,f1744,f1286]) ).
fof(f1754,plain,
( spl52_133
<=> nil = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_133])]) ).
fof(f2729,plain,
( nil = sK33
| ~ spl52_131
| ~ spl52_133 ),
inference(backward_demodulation,[],[f1746,f1756]) ).
fof(f1756,plain,
( nil = sK37(sK33,nil)
| ~ spl52_133 ),
inference(avatar_component_clause,[],[f1754]) ).
fof(f2726,plain,
( spl52_92
| ~ spl52_16
| spl52_173 ),
inference(avatar_split_clause,[],[f2725,f2331,f663,f1286]) ).
fof(f2725,plain,
( ~ ssList(sK33)
| nil = sK33
| spl52_173 ),
inference(resolution,[],[f2333,f442]) ).
fof(f2724,plain,
( ~ spl52_237
| ~ spl52_236
| spl52_239
| ~ spl52_127 ),
inference(avatar_split_clause,[],[f2701,f1598,f2722,f2709,f2713]) ).
fof(f2713,plain,
( spl52_237
<=> ssList(sK50(sK30,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_237])]) ).
fof(f2709,plain,
( spl52_236
<=> ssList(app(sK49(sK30,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_236])]) ).
fof(f2722,plain,
( spl52_239
<=> ! [X0] :
( ~ ssList(app(X0,sK30))
| segmentP(app(X0,sK30),app(sK49(sK30,nil),nil))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_239])]) ).
fof(f1598,plain,
( spl52_127
<=> app(app(sK49(sK30,nil),nil),sK50(sK30,nil)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).
fof(f2701,plain,
( ! [X0] :
( ~ ssList(app(X0,sK30))
| ~ ssList(app(sK49(sK30,nil),nil))
| ~ ssList(X0)
| ~ ssList(sK50(sK30,nil))
| segmentP(app(X0,sK30),app(sK49(sK30,nil),nil)) )
| ~ spl52_127 ),
inference(superposition,[],[f708,f1600]) ).
fof(f1600,plain,
( app(app(sK49(sK30,nil),nil),sK50(sK30,nil)) = sK30
| ~ spl52_127 ),
inference(avatar_component_clause,[],[f1598]) ).
fof(f708,plain,
! [X1,X4,X5] :
( ~ ssList(app(X4,app(X1,X5)))
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X5)
| segmentP(app(X4,app(X1,X5)),X1) ),
inference(forward_subsumption_demodulation,[],[f707,f495]) ).
fof(f707,plain,
! [X1,X4,X5] :
( ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(app(X4,X1),X5))
| segmentP(app(X4,app(X1,X5)),X1) ),
inference(forward_subsumption_demodulation,[],[f572,f495]) ).
fof(f572,plain,
! [X1,X4,X5] :
( ~ ssList(X5)
| segmentP(app(app(X4,X1),X5),X1)
| ~ ssList(X1)
| ~ ssList(X4)
| ~ ssList(app(app(X4,X1),X5)) ),
inference(equality_resolution,[],[f499]) ).
fof(f499,plain,
! [X0,X1,X4,X5] :
( ~ ssList(X1)
| segmentP(X0,X1)
| app(app(X4,X1),X5) != X0
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f2720,plain,
( ~ spl52_236
| spl52_238
| ~ spl52_237
| ~ spl52_127 ),
inference(avatar_split_clause,[],[f2702,f1598,f2713,f2718,f2709]) ).
fof(f2718,plain,
( spl52_238
<=> ! [X1] :
( ~ ssList(X1)
| frontsegP(sK30,X1)
| ~ frontsegP(app(sK49(sK30,nil),nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_238])]) ).
fof(f2702,plain,
( ! [X1] :
( ~ ssList(sK50(sK30,nil))
| ~ ssList(X1)
| ~ frontsegP(app(sK49(sK30,nil),nil),X1)
| ~ ssList(app(sK49(sK30,nil),nil))
| frontsegP(sK30,X1) )
| ~ spl52_127 ),
inference(superposition,[],[f439,f1600]) ).
fof(f439,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ ssList(X2)
| ~ frontsegP(X0,X1) ) ) ),
inference(flattening,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
fof(f2716,plain,
( spl52_235
| ~ spl52_10
| ~ spl52_236
| ~ spl52_237
| ~ spl52_127 ),
inference(avatar_split_clause,[],[f2703,f1598,f2713,f2709,f632,f2705]) ).
fof(f2705,plain,
( spl52_235
<=> frontsegP(sK30,app(sK49(sK30,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_235])]) ).
fof(f2703,plain,
( ~ ssList(sK50(sK30,nil))
| ~ ssList(app(sK49(sK30,nil),nil))
| ~ ssList(sK30)
| frontsegP(sK30,app(sK49(sK30,nil),nil))
| ~ spl52_127 ),
inference(superposition,[],[f564,f1600]) ).
fof(f564,plain,
! [X3,X1] :
( ~ ssList(app(X1,X3))
| ~ ssList(X3)
| ~ ssList(X1)
| frontsegP(app(X1,X3),X1) ),
inference(equality_resolution,[],[f451]) ).
fof(f451,plain,
! [X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| frontsegP(X0,X1)
| ~ ssList(X3)
| app(X1,X3) != X0 ),
inference(cnf_transformation,[],[f294]) ).
fof(f2693,plain,
( ~ spl52_232
| ~ spl52_230
| spl52_234
| ~ spl52_124 ),
inference(avatar_split_clause,[],[f2670,f1583,f2691,f2674,f2682]) ).
fof(f2691,plain,
( spl52_234
<=> ! [X0] :
( ~ ssList(app(X0,sK33))
| segmentP(app(X0,sK33),app(sK49(sK33,nil),nil))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_234])]) ).
fof(f2670,plain,
( ! [X0] :
( ~ ssList(app(X0,sK33))
| ~ ssList(app(sK49(sK33,nil),nil))
| ~ ssList(sK50(sK33,nil))
| ~ ssList(X0)
| segmentP(app(X0,sK33),app(sK49(sK33,nil),nil)) )
| ~ spl52_124 ),
inference(superposition,[],[f708,f1585]) ).
fof(f2689,plain,
( ~ spl52_232
| ~ spl52_230
| spl52_233
| ~ spl52_124 ),
inference(avatar_split_clause,[],[f2671,f1583,f2687,f2674,f2682]) ).
fof(f2687,plain,
( spl52_233
<=> ! [X1] :
( ~ ssList(X1)
| frontsegP(sK33,X1)
| ~ frontsegP(app(sK49(sK33,nil),nil),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_233])]) ).
fof(f2671,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(app(sK49(sK33,nil),nil),X1)
| frontsegP(sK33,X1)
| ~ ssList(app(sK49(sK33,nil),nil))
| ~ ssList(sK50(sK33,nil)) )
| ~ spl52_124 ),
inference(superposition,[],[f439,f1585]) ).
fof(f2685,plain,
( ~ spl52_230
| ~ spl52_16
| spl52_231
| ~ spl52_232
| ~ spl52_124 ),
inference(avatar_split_clause,[],[f2672,f1583,f2682,f2678,f663,f2674]) ).
fof(f2678,plain,
( spl52_231
<=> frontsegP(sK33,app(sK49(sK33,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_231])]) ).
fof(f2672,plain,
( ~ ssList(sK50(sK33,nil))
| frontsegP(sK33,app(sK49(sK33,nil),nil))
| ~ ssList(sK33)
| ~ ssList(app(sK49(sK33,nil),nil))
| ~ spl52_124 ),
inference(superposition,[],[f564,f1585]) ).
fof(f2666,plain,
( ~ spl52_16
| spl52_92
| spl52_172 ),
inference(avatar_split_clause,[],[f2665,f2327,f1286,f663]) ).
fof(f2665,plain,
( nil = sK33
| ~ ssList(sK33)
| spl52_172 ),
inference(resolution,[],[f2329,f441]) ).
fof(f2664,plain,
( ~ spl52_227
| spl52_229
| ~ spl52_226
| ~ spl52_123 ),
inference(avatar_split_clause,[],[f2641,f1578,f2649,f2662,f2653]) ).
fof(f2653,plain,
( spl52_227
<=> ssList(app(sK49(sK29,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).
fof(f2662,plain,
( spl52_229
<=> ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(X0,sK29))
| segmentP(app(X0,sK29),app(sK49(sK29,nil),nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_229])]) ).
fof(f2649,plain,
( spl52_226
<=> ssList(sK50(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_226])]) ).
fof(f1578,plain,
( spl52_123
<=> app(app(sK49(sK29,nil),nil),sK50(sK29,nil)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).
fof(f2641,plain,
( ! [X0] :
( ~ ssList(sK50(sK29,nil))
| ~ ssList(X0)
| ~ ssList(app(sK49(sK29,nil),nil))
| segmentP(app(X0,sK29),app(sK49(sK29,nil),nil))
| ~ ssList(app(X0,sK29)) )
| ~ spl52_123 ),
inference(superposition,[],[f708,f1580]) ).
fof(f1580,plain,
( app(app(sK49(sK29,nil),nil),sK50(sK29,nil)) = sK29
| ~ spl52_123 ),
inference(avatar_component_clause,[],[f1578]) ).
fof(f2660,plain,
( ~ spl52_227
| ~ spl52_226
| spl52_228
| ~ spl52_123 ),
inference(avatar_split_clause,[],[f2642,f1578,f2658,f2649,f2653]) ).
fof(f2658,plain,
( spl52_228
<=> ! [X1] :
( ~ frontsegP(app(sK49(sK29,nil),nil),X1)
| frontsegP(sK29,X1)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_228])]) ).
fof(f2642,plain,
( ! [X1] :
( ~ frontsegP(app(sK49(sK29,nil),nil),X1)
| ~ ssList(sK50(sK29,nil))
| ~ ssList(X1)
| frontsegP(sK29,X1)
| ~ ssList(app(sK49(sK29,nil),nil)) )
| ~ spl52_123 ),
inference(superposition,[],[f439,f1580]) ).
fof(f2656,plain,
( spl52_225
| ~ spl52_226
| ~ spl52_11
| ~ spl52_227
| ~ spl52_123 ),
inference(avatar_split_clause,[],[f2643,f1578,f2653,f637,f2649,f2645]) ).
fof(f2645,plain,
( spl52_225
<=> frontsegP(sK29,app(sK49(sK29,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).
fof(f2643,plain,
( ~ ssList(app(sK49(sK29,nil),nil))
| ~ ssList(sK29)
| ~ ssList(sK50(sK29,nil))
| frontsegP(sK29,app(sK49(sK29,nil),nil))
| ~ spl52_123 ),
inference(superposition,[],[f564,f1580]) ).
fof(f2637,plain,
( spl52_224
| ~ spl52_31
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2594,f2285,f785,f2634]) ).
fof(f2634,plain,
( spl52_224
<=> app(nil,sK37(sK34(sK30),nil)) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_224])]) ).
fof(f2285,plain,
( spl52_165
<=> ssList(sK34(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_165])]) ).
fof(f2594,plain,
( app(nil,sK37(sK34(sK30),nil)) = sK34(sK30)
| ~ spl52_31
| ~ spl52_165 ),
inference(resolution,[],[f2286,f786]) ).
fof(f2286,plain,
( ssList(sK34(sK30))
| ~ spl52_165 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2632,plain,
( spl52_223
| ~ spl52_39
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2596,f2285,f844,f2629]) ).
fof(f2629,plain,
( spl52_223
<=> app(app(sK49(sK34(sK30),nil),nil),sK50(sK34(sK30),nil)) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_223])]) ).
fof(f2596,plain,
( app(app(sK49(sK34(sK30),nil),nil),sK50(sK34(sK30),nil)) = sK34(sK30)
| ~ spl52_39
| ~ spl52_165 ),
inference(resolution,[],[f2286,f845]) ).
fof(f2627,plain,
( spl52_222
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2593,f2285,f2624]) ).
fof(f2624,plain,
( spl52_222
<=> app(sK34(sK30),sK37(sK34(sK30),sK34(sK30))) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_222])]) ).
fof(f2593,plain,
( app(sK34(sK30),sK37(sK34(sK30),sK34(sK30))) = sK34(sK30)
| ~ spl52_165 ),
inference(resolution,[],[f2286,f776]) ).
fof(f2622,plain,
( spl52_221
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2588,f2285,f2619]) ).
fof(f2619,plain,
( spl52_221
<=> app(nil,sK34(sK30)) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_221])]) ).
fof(f2588,plain,
( app(nil,sK34(sK30)) = sK34(sK30)
| ~ spl52_165 ),
inference(resolution,[],[f2286,f408]) ).
fof(f2617,plain,
( spl52_219
| spl52_220
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2589,f2285,f2614,f2610]) ).
fof(f2610,plain,
( spl52_219
<=> cons(sK35(sK34(sK30)),sK34(sK34(sK30))) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_219])]) ).
fof(f2614,plain,
( spl52_220
<=> nil = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).
fof(f2589,plain,
( nil = sK34(sK30)
| cons(sK35(sK34(sK30)),sK34(sK34(sK30))) = sK34(sK30)
| ~ spl52_165 ),
inference(resolution,[],[f2286,f440]) ).
fof(f2608,plain,
( spl52_218
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2587,f2285,f2605]) ).
fof(f2605,plain,
( spl52_218
<=> app(sK34(sK30),nil) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).
fof(f2587,plain,
( app(sK34(sK30),nil) = sK34(sK30)
| ~ spl52_165 ),
inference(resolution,[],[f2286,f367]) ).
fof(f2603,plain,
( spl52_217
| ~ spl52_165 ),
inference(avatar_split_clause,[],[f2595,f2285,f2600]) ).
fof(f2600,plain,
( spl52_217
<=> app(app(sK49(sK34(sK30),sK34(sK30)),sK34(sK30)),sK50(sK34(sK30),sK34(sK30))) = sK34(sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_217])]) ).
fof(f2595,plain,
( app(app(sK49(sK34(sK30),sK34(sK30)),sK34(sK30)),sK50(sK34(sK30),sK34(sK30))) = sK34(sK30)
| ~ spl52_165 ),
inference(resolution,[],[f2286,f835]) ).
fof(f2586,plain,
( ~ spl52_214
| ~ spl52_212
| spl52_216
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2564,f1531,f2584,f2567,f2575]) ).
fof(f2575,plain,
( spl52_214
<=> ssList(app(sK49(sK30,sK30),sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).
fof(f2567,plain,
( spl52_212
<=> ssList(sK50(sK30,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_212])]) ).
fof(f2584,plain,
( spl52_216
<=> ! [X1] :
( ~ frontsegP(app(sK49(sK30,sK30),sK30),X1)
| ~ ssList(X1)
| frontsegP(sK30,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).
fof(f1531,plain,
( spl52_119
<=> app(app(sK49(sK30,sK30),sK30),sK50(sK30,sK30)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_119])]) ).
fof(f2564,plain,
( ! [X1] :
( ~ frontsegP(app(sK49(sK30,sK30),sK30),X1)
| frontsegP(sK30,X1)
| ~ ssList(sK50(sK30,sK30))
| ~ ssList(app(sK49(sK30,sK30),sK30))
| ~ ssList(X1) )
| ~ spl52_119 ),
inference(superposition,[],[f439,f1533]) ).
fof(f1533,plain,
( app(app(sK49(sK30,sK30),sK30),sK50(sK30,sK30)) = sK30
| ~ spl52_119 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f2582,plain,
( ~ spl52_212
| ~ spl52_214
| spl52_215
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2563,f1531,f2580,f2575,f2567]) ).
fof(f2580,plain,
( spl52_215
<=> ! [X0] :
( ~ ssList(app(X0,sK30))
| ~ ssList(X0)
| segmentP(app(X0,sK30),app(sK49(sK30,sK30),sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).
fof(f2563,plain,
( ! [X0] :
( ~ ssList(app(X0,sK30))
| segmentP(app(X0,sK30),app(sK49(sK30,sK30),sK30))
| ~ ssList(app(sK49(sK30,sK30),sK30))
| ~ ssList(X0)
| ~ ssList(sK50(sK30,sK30)) )
| ~ spl52_119 ),
inference(superposition,[],[f708,f1533]) ).
fof(f2578,plain,
( ~ spl52_212
| ~ spl52_10
| spl52_213
| ~ spl52_214
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2565,f1531,f2575,f2571,f632,f2567]) ).
fof(f2571,plain,
( spl52_213
<=> frontsegP(sK30,app(sK49(sK30,sK30),sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_213])]) ).
fof(f2565,plain,
( ~ ssList(app(sK49(sK30,sK30),sK30))
| frontsegP(sK30,app(sK49(sK30,sK30),sK30))
| ~ ssList(sK30)
| ~ ssList(sK50(sK30,sK30))
| ~ spl52_119 ),
inference(superposition,[],[f564,f1533]) ).
fof(f2559,plain,
( ~ spl52_208
| ~ spl52_209
| spl52_211
| ~ spl52_117 ),
inference(avatar_split_clause,[],[f2536,f1521,f2557,f2548,f2544]) ).
fof(f2544,plain,
( spl52_208
<=> ssList(sK50(sK33,sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_208])]) ).
fof(f2548,plain,
( spl52_209
<=> ssList(app(sK49(sK33,sK33),sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).
fof(f2557,plain,
( spl52_211
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK33),app(sK49(sK33,sK33),sK33))
| ~ ssList(app(X0,sK33)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).
fof(f1521,plain,
( spl52_117
<=> app(app(sK49(sK33,sK33),sK33),sK50(sK33,sK33)) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_117])]) ).
fof(f2536,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(sK49(sK33,sK33),sK33))
| ~ ssList(app(X0,sK33))
| ~ ssList(sK50(sK33,sK33))
| segmentP(app(X0,sK33),app(sK49(sK33,sK33),sK33)) )
| ~ spl52_117 ),
inference(superposition,[],[f708,f1523]) ).
fof(f1523,plain,
( app(app(sK49(sK33,sK33),sK33),sK50(sK33,sK33)) = sK33
| ~ spl52_117 ),
inference(avatar_component_clause,[],[f1521]) ).
fof(f2555,plain,
( ~ spl52_208
| ~ spl52_209
| spl52_210
| ~ spl52_117 ),
inference(avatar_split_clause,[],[f2537,f1521,f2553,f2548,f2544]) ).
fof(f2553,plain,
( spl52_210
<=> ! [X1] :
( frontsegP(sK33,X1)
| ~ ssList(X1)
| ~ frontsegP(app(sK49(sK33,sK33),sK33),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).
fof(f2537,plain,
( ! [X1] :
( frontsegP(sK33,X1)
| ~ frontsegP(app(sK49(sK33,sK33),sK33),X1)
| ~ ssList(X1)
| ~ ssList(app(sK49(sK33,sK33),sK33))
| ~ ssList(sK50(sK33,sK33)) )
| ~ spl52_117 ),
inference(superposition,[],[f439,f1523]) ).
fof(f2551,plain,
( ~ spl52_16
| spl52_207
| ~ spl52_208
| ~ spl52_209
| ~ spl52_117 ),
inference(avatar_split_clause,[],[f2538,f1521,f2548,f2544,f2540,f663]) ).
fof(f2540,plain,
( spl52_207
<=> frontsegP(sK33,app(sK49(sK33,sK33),sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).
fof(f2538,plain,
( ~ ssList(app(sK49(sK33,sK33),sK33))
| ~ ssList(sK50(sK33,sK33))
| frontsegP(sK33,app(sK49(sK33,sK33),sK33))
| ~ ssList(sK33)
| ~ spl52_117 ),
inference(superposition,[],[f564,f1523]) ).
fof(f2532,plain,
( ~ spl52_203
| ~ spl52_202
| spl52_206
| ~ spl52_115 ),
inference(avatar_split_clause,[],[f2509,f1511,f2530,f2513,f2517]) ).
fof(f2517,plain,
( spl52_203
<=> ssList(sK50(sK29,sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).
fof(f2513,plain,
( spl52_202
<=> ssList(app(sK49(sK29,sK29),sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).
fof(f2530,plain,
( spl52_206
<=> ! [X0] :
( segmentP(app(X0,sK29),app(sK49(sK29,sK29),sK29))
| ~ ssList(X0)
| ~ ssList(app(X0,sK29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).
fof(f1511,plain,
( spl52_115
<=> app(app(sK49(sK29,sK29),sK29),sK50(sK29,sK29)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).
fof(f2509,plain,
( ! [X0] :
( segmentP(app(X0,sK29),app(sK49(sK29,sK29),sK29))
| ~ ssList(app(sK49(sK29,sK29),sK29))
| ~ ssList(app(X0,sK29))
| ~ ssList(sK50(sK29,sK29))
| ~ ssList(X0) )
| ~ spl52_115 ),
inference(superposition,[],[f708,f1513]) ).
fof(f1513,plain,
( app(app(sK49(sK29,sK29),sK29),sK50(sK29,sK29)) = sK29
| ~ spl52_115 ),
inference(avatar_component_clause,[],[f1511]) ).
fof(f2528,plain,
( spl52_205
| ~ spl52_202
| ~ spl52_11
| ~ spl52_203
| ~ spl52_115 ),
inference(avatar_split_clause,[],[f2511,f1511,f2517,f637,f2513,f2525]) ).
fof(f2525,plain,
( spl52_205
<=> frontsegP(sK29,app(sK49(sK29,sK29),sK29)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).
fof(f2511,plain,
( ~ ssList(sK50(sK29,sK29))
| ~ ssList(sK29)
| ~ ssList(app(sK49(sK29,sK29),sK29))
| frontsegP(sK29,app(sK49(sK29,sK29),sK29))
| ~ spl52_115 ),
inference(superposition,[],[f564,f1513]) ).
fof(f2523,plain,
( ~ spl52_202
| ~ spl52_203
| spl52_204
| ~ spl52_115 ),
inference(avatar_split_clause,[],[f2510,f1511,f2521,f2517,f2513]) ).
fof(f2521,plain,
( spl52_204
<=> ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(app(sK49(sK29,sK29),sK29),X1)
| frontsegP(sK29,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).
fof(f2510,plain,
( ! [X1] :
( ~ ssList(X1)
| frontsegP(sK29,X1)
| ~ frontsegP(app(sK49(sK29,sK29),sK29),X1)
| ~ ssList(sK50(sK29,sK29))
| ~ ssList(app(sK49(sK29,sK29),sK29)) )
| ~ spl52_115 ),
inference(superposition,[],[f439,f1513]) ).
fof(f2505,plain,
( spl52_7
| ~ spl52_10
| spl52_165 ),
inference(avatar_split_clause,[],[f2504,f2285,f632,f618]) ).
fof(f618,plain,
( spl52_7
<=> nil = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f2504,plain,
( ~ ssList(sK30)
| nil = sK30
| spl52_165 ),
inference(resolution,[],[f2287,f442]) ).
fof(f2287,plain,
( ~ ssList(sK34(sK30))
| spl52_165 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2503,plain,
( ~ spl52_3
| ~ spl52_10
| spl52_201
| ~ spl52_43
| ~ spl52_53 ),
inference(avatar_split_clause,[],[f2493,f944,f876,f2500,f632,f598]) ).
fof(f876,plain,
( spl52_43
<=> ! [X0] :
( segmentP(app(X0,sK30),sK33)
| ~ ssList(X0)
| ~ ssList(app(X0,sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f944,plain,
( spl52_53
<=> app(nil,sK30) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f2493,plain,
( segmentP(sK30,sK33)
| ~ ssList(sK30)
| ~ ssList(nil)
| ~ spl52_43
| ~ spl52_53 ),
inference(superposition,[],[f877,f946]) ).
fof(f946,plain,
( app(nil,sK30) = sK30
| ~ spl52_53 ),
inference(avatar_component_clause,[],[f944]) ).
fof(f877,plain,
( ! [X0] :
( ~ ssList(app(X0,sK30))
| ~ ssList(X0)
| segmentP(app(X0,sK30),sK33) )
| ~ spl52_43 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f2498,plain,
( ~ spl52_10
| spl52_200
| ~ spl52_43 ),
inference(avatar_split_clause,[],[f2494,f876,f2496,f632]) ).
fof(f2496,plain,
( spl52_200
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK30),sK33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_200])]) ).
fof(f2494,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK30),sK33)
| ~ ssList(sK30) )
| ~ spl52_43 ),
inference(duplicate_literal_removal,[],[f2492]) ).
fof(f2492,plain,
( ! [X0] :
( ~ ssList(sK30)
| ~ ssList(X0)
| segmentP(app(X0,sK30),sK33)
| ~ ssList(X0) )
| ~ spl52_43 ),
inference(resolution,[],[f877,f496]) ).
fof(f496,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ssList(app(X0,X1)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f2491,plain,
( spl52_199
| ~ spl52_11
| ~ spl52_41 ),
inference(avatar_split_clause,[],[f2482,f865,f637,f2489]) ).
fof(f2489,plain,
( spl52_199
<=> ! [X0] :
( segmentP(app(X0,sK29),sK33)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).
fof(f865,plain,
( spl52_41
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK29),sK33)
| ~ ssList(app(X0,sK29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f2482,plain,
( ! [X0] :
( ~ ssList(sK29)
| segmentP(app(X0,sK29),sK33)
| ~ ssList(X0) )
| ~ spl52_41 ),
inference(duplicate_literal_removal,[],[f2480]) ).
fof(f2480,plain,
( ! [X0] :
( ~ ssList(sK29)
| ~ ssList(X0)
| segmentP(app(X0,sK29),sK33)
| ~ ssList(X0) )
| ~ spl52_41 ),
inference(resolution,[],[f866,f496]) ).
fof(f866,plain,
( ! [X0] :
( ~ ssList(app(X0,sK29))
| segmentP(app(X0,sK29),sK33)
| ~ ssList(X0) )
| ~ spl52_41 ),
inference(avatar_component_clause,[],[f865]) ).
fof(f2487,plain,
( spl52_198
| ~ spl52_11
| ~ spl52_3
| ~ spl52_41
| ~ spl52_52 ),
inference(avatar_split_clause,[],[f2481,f939,f865,f598,f637,f2484]) ).
fof(f939,plain,
( spl52_52
<=> app(nil,sK29) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f2481,plain,
( ~ ssList(nil)
| ~ ssList(sK29)
| segmentP(sK29,sK33)
| ~ spl52_41
| ~ spl52_52 ),
inference(superposition,[],[f866,f941]) ).
fof(f941,plain,
( app(nil,sK29) = sK29
| ~ spl52_52 ),
inference(avatar_component_clause,[],[f939]) ).
fof(f2475,plain,
( spl52_197
| ~ spl52_39
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2434,f1205,f844,f2472]) ).
fof(f2472,plain,
( spl52_197
<=> sK50(nil,nil) = app(app(sK49(sK50(nil,nil),nil),nil),sK50(sK50(nil,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_197])]) ).
fof(f1205,plain,
( spl52_81
<=> ssList(sK50(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).
fof(f2434,plain,
( sK50(nil,nil) = app(app(sK49(sK50(nil,nil),nil),nil),sK50(sK50(nil,nil),nil))
| ~ spl52_39
| ~ spl52_81 ),
inference(resolution,[],[f1206,f845]) ).
fof(f1206,plain,
( ssList(sK50(nil,nil))
| ~ spl52_81 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f2470,plain,
( spl52_195
| spl52_196
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2427,f1205,f2467,f2463]) ).
fof(f2463,plain,
( spl52_195
<=> nil = sK50(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_195])]) ).
fof(f2467,plain,
( spl52_196
<=> sK50(nil,nil) = cons(sK35(sK50(nil,nil)),sK34(sK50(nil,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_196])]) ).
fof(f2427,plain,
( sK50(nil,nil) = cons(sK35(sK50(nil,nil)),sK34(sK50(nil,nil)))
| nil = sK50(nil,nil)
| ~ spl52_81 ),
inference(resolution,[],[f1206,f440]) ).
fof(f2461,plain,
( spl52_194
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2433,f1205,f2458]) ).
fof(f2458,plain,
( spl52_194
<=> app(app(sK49(sK50(nil,nil),sK50(nil,nil)),sK50(nil,nil)),sK50(sK50(nil,nil),sK50(nil,nil))) = sK50(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_194])]) ).
fof(f2433,plain,
( app(app(sK49(sK50(nil,nil),sK50(nil,nil)),sK50(nil,nil)),sK50(sK50(nil,nil),sK50(nil,nil))) = sK50(nil,nil)
| ~ spl52_81 ),
inference(resolution,[],[f1206,f835]) ).
fof(f2456,plain,
( spl52_193
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2426,f1205,f2453]) ).
fof(f2453,plain,
( spl52_193
<=> sK50(nil,nil) = app(nil,sK50(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_193])]) ).
fof(f2426,plain,
( sK50(nil,nil) = app(nil,sK50(nil,nil))
| ~ spl52_81 ),
inference(resolution,[],[f1206,f408]) ).
fof(f2451,plain,
( spl52_192
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2425,f1205,f2448]) ).
fof(f2448,plain,
( spl52_192
<=> sK50(nil,nil) = app(sK50(nil,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_192])]) ).
fof(f2425,plain,
( sK50(nil,nil) = app(sK50(nil,nil),nil)
| ~ spl52_81 ),
inference(resolution,[],[f1206,f367]) ).
fof(f2446,plain,
( spl52_191
| ~ spl52_31
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2432,f1205,f785,f2443]) ).
fof(f2443,plain,
( spl52_191
<=> sK50(nil,nil) = app(nil,sK37(sK50(nil,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_191])]) ).
fof(f2432,plain,
( sK50(nil,nil) = app(nil,sK37(sK50(nil,nil),nil))
| ~ spl52_31
| ~ spl52_81 ),
inference(resolution,[],[f1206,f786]) ).
fof(f2441,plain,
( spl52_190
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f2431,f1205,f2438]) ).
fof(f2438,plain,
( spl52_190
<=> sK50(nil,nil) = app(sK50(nil,nil),sK37(sK50(nil,nil),sK50(nil,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).
fof(f2431,plain,
( sK50(nil,nil) = app(sK50(nil,nil),sK37(sK50(nil,nil),sK50(nil,nil)))
| ~ spl52_81 ),
inference(resolution,[],[f1206,f776]) ).
fof(f2424,plain,
( ~ spl52_3
| ~ spl52_13
| spl52_81 ),
inference(avatar_split_clause,[],[f2423,f1205,f647,f598]) ).
fof(f647,plain,
( spl52_13
<=> segmentP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f2423,plain,
( ~ segmentP(nil,nil)
| ~ ssList(nil)
| spl52_81 ),
inference(duplicate_literal_removal,[],[f2422]) ).
fof(f2422,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| ~ segmentP(nil,nil)
| spl52_81 ),
inference(resolution,[],[f1207,f501]) ).
fof(f501,plain,
! [X0,X1] :
( ssList(sK50(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f322]) ).
fof(f1207,plain,
( ~ ssList(sK50(nil,nil))
| spl52_81 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f2421,plain,
( ~ spl52_10
| spl52_7
| spl52_163 ),
inference(avatar_split_clause,[],[f2420,f2277,f618,f632]) ).
fof(f2277,plain,
( spl52_163
<=> ssItem(sK35(sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_163])]) ).
fof(f2420,plain,
( nil = sK30
| ~ ssList(sK30)
| spl52_163 ),
inference(resolution,[],[f2279,f441]) ).
fof(f2279,plain,
( ~ ssItem(sK35(sK30))
| spl52_163 ),
inference(avatar_component_clause,[],[f2277]) ).
fof(f2414,plain,
( ~ spl52_182
| ~ spl52_181
| spl52_189
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2367,f1300,f2412,f2377,f2381]) ).
fof(f2412,plain,
( spl52_189
<=> ! [X0,X1] :
( frontsegP(X1,sK34(sK29))
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),sK29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).
fof(f2367,plain,
( ! [X0,X1] :
( frontsegP(X1,sK34(sK29))
| ~ ssItem(X0)
| ~ ssList(sK34(sK29))
| ~ ssItem(sK35(sK29))
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sK29) )
| ~ spl52_95 ),
inference(superposition,[],[f516,f1302]) ).
fof(f516,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X2)
| frontsegP(X2,X3)
| ~ ssItem(X1)
| ~ ssList(X3)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| X0 != X1
| ~ frontsegP(X2,X3) )
& ( ( X0 = X1
& frontsegP(X2,X3) )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) ) ) ),
inference(flattening,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| X0 != X1
| ~ frontsegP(X2,X3) )
& ( ( X0 = X1
& frontsegP(X2,X3) )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) ) ) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) )
| ~ ssList(X3) )
| ~ ssList(X2) ) ) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( X0 = X1
& frontsegP(X2,X3) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f2410,plain,
( ~ spl52_182
| spl52_188
| ~ spl52_181
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2371,f1300,f2377,f2407,f2381]) ).
fof(f2407,plain,
( spl52_188
<=> ! [X11,X10] :
( ~ ssList(X11)
| ~ ssItem(X10)
| sK35(sK29) = X10
| cons(X10,X11) != sK29 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_188])]) ).
fof(f2371,plain,
( ! [X8,X9] :
( ~ ssList(sK34(sK29))
| cons(X8,X9) != sK29
| ~ ssItem(sK35(sK29))
| ~ ssItem(X8)
| sK35(sK29) = X8
| ~ ssList(X9) )
| ~ spl52_95 ),
inference(superposition,[],[f535,f1302]) ).
fof(f535,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X2 = X3
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ! [X3] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ( X0 = X1
& X2 = X3 ) )
| ~ ssItem(X2) ) ) ),
inference(flattening,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f2409,plain,
( ~ spl52_182
| ~ spl52_181
| spl52_188
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2372,f1300,f2407,f2377,f2381]) ).
fof(f2372,plain,
( ! [X10,X11] :
( ~ ssList(X11)
| sK35(sK29) = X10
| cons(X10,X11) != sK29
| ~ ssList(sK34(sK29))
| ~ ssItem(X10)
| ~ ssItem(sK35(sK29)) )
| ~ spl52_95 ),
inference(superposition,[],[f535,f1302]) ).
fof(f2405,plain,
( ~ spl52_182
| ~ spl52_181
| spl52_187
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2368,f1300,f2403,f2377,f2381]) ).
fof(f2403,plain,
( spl52_187
<=> ! [X2,X3] :
( frontsegP(sK34(sK29),X3)
| ~ ssItem(X2)
| ~ frontsegP(sK29,cons(X2,X3))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_187])]) ).
fof(f2368,plain,
( ! [X2,X3] :
( frontsegP(sK34(sK29),X3)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssList(sK34(sK29))
| ~ frontsegP(sK29,cons(X2,X3))
| ~ ssItem(sK35(sK29)) )
| ~ spl52_95 ),
inference(superposition,[],[f516,f1302]) ).
fof(f2401,plain,
( ~ spl52_182
| ~ spl52_181
| spl52_186
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2370,f1300,f2399,f2377,f2381]) ).
fof(f2399,plain,
( spl52_186
<=> ! [X6,X7] :
( ~ ssItem(X6)
| sK35(sK29) = X6
| ~ ssList(X7)
| ~ frontsegP(sK29,cons(X6,X7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).
fof(f2370,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ frontsegP(sK29,cons(X6,X7))
| ~ ssList(X7)
| ~ ssList(sK34(sK29))
| ~ ssItem(sK35(sK29))
| sK35(sK29) = X6 )
| ~ spl52_95 ),
inference(superposition,[],[f517,f1302]) ).
fof(f517,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X3)
| X0 = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f330]) ).
fof(f2397,plain,
( ~ spl52_181
| ~ spl52_182
| spl52_185
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2373,f1300,f2394,f2381,f2377]) ).
fof(f2394,plain,
( spl52_185
<=> ! [X14,X15] :
( cons(X14,X15) != sK29
| ~ ssList(X15)
| sK34(sK29) = X15
| ~ ssItem(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_185])]) ).
fof(f2373,plain,
( ! [X12,X13] :
( ~ ssList(X13)
| ~ ssItem(sK35(sK29))
| ~ ssList(sK34(sK29))
| ~ ssItem(X12)
| cons(X12,X13) != sK29
| sK34(sK29) = X13 )
| ~ spl52_95 ),
inference(superposition,[],[f536,f1302]) ).
fof(f536,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X2)
| ~ ssList(X1)
| X0 = X1
| ~ ssItem(X3)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f2396,plain,
( ~ spl52_182
| ~ spl52_181
| spl52_185
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2374,f1300,f2394,f2377,f2381]) ).
fof(f2374,plain,
( ! [X14,X15] :
( cons(X14,X15) != sK29
| ~ ssItem(X14)
| sK34(sK29) = X15
| ~ ssList(sK34(sK29))
| ~ ssList(X15)
| ~ ssItem(sK35(sK29)) )
| ~ spl52_95 ),
inference(superposition,[],[f536,f1302]) ).
fof(f2392,plain,
( ~ spl52_182
| ~ spl52_184
| ~ spl52_181
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2365,f1300,f2377,f2389,f2381]) ).
fof(f2389,plain,
( spl52_184
<=> sK34(sK29) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_184])]) ).
fof(f2365,plain,
( ~ ssList(sK34(sK29))
| sK34(sK29) != sK29
| ~ ssItem(sK35(sK29))
| ~ spl52_95 ),
inference(superposition,[],[f454,f1302]) ).
fof(f454,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f2387,plain,
( ~ spl52_181
| ~ spl52_182
| spl52_183
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2369,f1300,f2385,f2381,f2377]) ).
fof(f2385,plain,
( spl52_183
<=> ! [X4,X5] :
( ~ ssItem(X4)
| sK35(sK29) = X4
| ~ ssList(X5)
| ~ frontsegP(cons(X4,X5),sK29) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).
fof(f2369,plain,
( ! [X4,X5] :
( ~ ssItem(X4)
| ~ frontsegP(cons(X4,X5),sK29)
| ~ ssList(X5)
| ~ ssItem(sK35(sK29))
| sK35(sK29) = X4
| ~ ssList(sK34(sK29)) )
| ~ spl52_95 ),
inference(superposition,[],[f517,f1302]) ).
fof(f2364,plain,
( ~ spl52_173
| ~ spl52_172
| spl52_180
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2320,f1282,f2362,f2327,f2331]) ).
fof(f2362,plain,
( spl52_180
<=> ! [X6,X7] :
( sK35(sK33) = X6
| ~ ssItem(X6)
| ~ frontsegP(sK33,cons(X6,X7))
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_180])]) ).
fof(f2320,plain,
( ! [X6,X7] :
( sK35(sK33) = X6
| ~ ssList(X7)
| ~ ssItem(sK35(sK33))
| ~ ssList(sK34(sK33))
| ~ frontsegP(sK33,cons(X6,X7))
| ~ ssItem(X6) )
| ~ spl52_91 ),
inference(superposition,[],[f517,f1284]) ).
fof(f2360,plain,
( ~ spl52_173
| spl52_179
| ~ spl52_172
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2318,f1282,f2327,f2358,f2331]) ).
fof(f2358,plain,
( spl52_179
<=> ! [X2,X3] :
( frontsegP(sK34(sK33),X3)
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ frontsegP(sK33,cons(X2,X3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_179])]) ).
fof(f2318,plain,
( ! [X2,X3] :
( ~ ssItem(sK35(sK33))
| frontsegP(sK34(sK33),X3)
| ~ frontsegP(sK33,cons(X2,X3))
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssList(sK34(sK33)) )
| ~ spl52_91 ),
inference(superposition,[],[f516,f1284]) ).
fof(f2356,plain,
( ~ spl52_173
| ~ spl52_172
| ~ spl52_178
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2315,f1282,f2353,f2327,f2331]) ).
fof(f2315,plain,
( sK34(sK33) != sK33
| ~ ssItem(sK35(sK33))
| ~ ssList(sK34(sK33))
| ~ spl52_91 ),
inference(superposition,[],[f454,f1284]) ).
fof(f2351,plain,
( ~ spl52_173
| ~ spl52_172
| spl52_176
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2324,f1282,f2343,f2327,f2331]) ).
fof(f2343,plain,
( spl52_176
<=> ! [X13,X12] :
( cons(X12,X13) != sK33
| ~ ssItem(X12)
| sK34(sK33) = X13
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).
fof(f2324,plain,
( ! [X14,X15] :
( ~ ssList(X15)
| sK34(sK33) = X15
| ~ ssItem(sK35(sK33))
| ~ ssItem(X14)
| cons(X14,X15) != sK33
| ~ ssList(sK34(sK33)) )
| ~ spl52_91 ),
inference(superposition,[],[f536,f1284]) ).
fof(f2350,plain,
( spl52_177
| ~ spl52_173
| ~ spl52_172
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2319,f1282,f2327,f2331,f2348]) ).
fof(f2348,plain,
( spl52_177
<=> ! [X4,X5] :
( sK35(sK33) = X4
| ~ ssList(X5)
| ~ ssItem(X4)
| ~ frontsegP(cons(X4,X5),sK33) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).
fof(f2319,plain,
( ! [X4,X5] :
( ~ ssItem(sK35(sK33))
| ~ ssList(sK34(sK33))
| sK35(sK33) = X4
| ~ frontsegP(cons(X4,X5),sK33)
| ~ ssItem(X4)
| ~ ssList(X5) )
| ~ spl52_91 ),
inference(superposition,[],[f517,f1284]) ).
fof(f2346,plain,
( ~ spl52_173
| spl52_174
| ~ spl52_172
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2322,f1282,f2327,f2335,f2331]) ).
fof(f2335,plain,
( spl52_174
<=> ! [X9,X8] :
( sK35(sK33) = X8
| ~ ssItem(X8)
| ~ ssList(X9)
| cons(X8,X9) != sK33 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_174])]) ).
fof(f2322,plain,
( ! [X10,X11] :
( ~ ssItem(sK35(sK33))
| ~ ssItem(X10)
| sK35(sK33) = X10
| ~ ssList(sK34(sK33))
| ~ ssList(X11)
| sK33 != cons(X10,X11) )
| ~ spl52_91 ),
inference(superposition,[],[f535,f1284]) ).
fof(f2345,plain,
( ~ spl52_172
| spl52_176
| ~ spl52_173
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2323,f1282,f2331,f2343,f2327]) ).
fof(f2323,plain,
( ! [X12,X13] :
( ~ ssList(sK34(sK33))
| cons(X12,X13) != sK33
| ~ ssItem(sK35(sK33))
| ~ ssList(X13)
| sK34(sK33) = X13
| ~ ssItem(X12) )
| ~ spl52_91 ),
inference(superposition,[],[f536,f1284]) ).
fof(f2341,plain,
( ~ spl52_173
| ~ spl52_172
| spl52_175
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2317,f1282,f2339,f2327,f2331]) ).
fof(f2339,plain,
( spl52_175
<=> ! [X0,X1] :
( ~ ssItem(X0)
| ~ frontsegP(cons(X0,X1),sK33)
| frontsegP(X1,sK34(sK33))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).
fof(f2317,plain,
( ! [X0,X1] :
( ~ ssItem(X0)
| frontsegP(X1,sK34(sK33))
| ~ ssList(X1)
| ~ frontsegP(cons(X0,X1),sK33)
| ~ ssItem(sK35(sK33))
| ~ ssList(sK34(sK33)) )
| ~ spl52_91 ),
inference(superposition,[],[f516,f1284]) ).
fof(f2337,plain,
( ~ spl52_172
| ~ spl52_173
| spl52_174
| ~ spl52_91 ),
inference(avatar_split_clause,[],[f2321,f1282,f2335,f2331,f2327]) ).
fof(f2321,plain,
( ! [X8,X9] :
( sK35(sK33) = X8
| ~ ssList(sK34(sK33))
| cons(X8,X9) != sK33
| ~ ssList(X9)
| ~ ssItem(sK35(sK33))
| ~ ssItem(X8) )
| ~ spl52_91 ),
inference(superposition,[],[f535,f1284]) ).
fof(f2314,plain,
( ~ spl52_163
| ~ spl52_165
| spl52_171
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2268,f1277,f2312,f2285,f2277]) ).
fof(f2312,plain,
( spl52_171
<=> ! [X2,X3] :
( ~ frontsegP(sK30,cons(X2,X3))
| ~ ssList(X3)
| ~ ssItem(X2)
| frontsegP(sK34(sK30),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_171])]) ).
fof(f1277,plain,
( spl52_90
<=> cons(sK35(sK30),sK34(sK30)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).
fof(f2268,plain,
( ! [X2,X3] :
( ~ frontsegP(sK30,cons(X2,X3))
| frontsegP(sK34(sK30),X3)
| ~ ssItem(X2)
| ~ ssList(sK34(sK30))
| ~ ssList(X3)
| ~ ssItem(sK35(sK30)) )
| ~ spl52_90 ),
inference(superposition,[],[f516,f1279]) ).
fof(f1279,plain,
( cons(sK35(sK30),sK34(sK30)) = sK30
| ~ spl52_90 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f2310,plain,
( ~ spl52_165
| spl52_167
| ~ spl52_163
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2273,f1277,f2277,f2294,f2285]) ).
fof(f2294,plain,
( spl52_167
<=> ! [X14,X15] :
( sK34(sK30) = X15
| ~ ssItem(X14)
| cons(X14,X15) != sK30
| ~ ssList(X15) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).
fof(f2273,plain,
( ! [X12,X13] :
( ~ ssItem(sK35(sK30))
| sK34(sK30) = X13
| ~ ssList(sK34(sK30))
| ~ ssList(X13)
| ~ ssItem(X12)
| cons(X12,X13) != sK30 )
| ~ spl52_90 ),
inference(superposition,[],[f536,f1279]) ).
fof(f2309,plain,
( ~ spl52_163
| ~ spl52_165
| spl52_170
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2269,f1277,f2307,f2285,f2277]) ).
fof(f2307,plain,
( spl52_170
<=> ! [X4,X5] :
( ~ ssItem(X4)
| ~ ssList(X5)
| ~ frontsegP(cons(X4,X5),sK30)
| sK35(sK30) = X4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_170])]) ).
fof(f2269,plain,
( ! [X4,X5] :
( ~ ssItem(X4)
| sK35(sK30) = X4
| ~ frontsegP(cons(X4,X5),sK30)
| ~ ssList(X5)
| ~ ssList(sK34(sK30))
| ~ ssItem(sK35(sK30)) )
| ~ spl52_90 ),
inference(superposition,[],[f517,f1279]) ).
fof(f2305,plain,
( ~ spl52_163
| spl52_169
| ~ spl52_165
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2267,f1277,f2285,f2303,f2277]) ).
fof(f2303,plain,
( spl52_169
<=> ! [X0,X1] :
( ~ frontsegP(cons(X0,X1),sK30)
| ~ ssList(X1)
| ~ ssItem(X0)
| frontsegP(X1,sK34(sK30)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_169])]) ).
fof(f2267,plain,
( ! [X0,X1] :
( ~ ssList(sK34(sK30))
| ~ frontsegP(cons(X0,X1),sK30)
| frontsegP(X1,sK34(sK30))
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssItem(sK35(sK30)) )
| ~ spl52_90 ),
inference(superposition,[],[f516,f1279]) ).
fof(f2301,plain,
( ~ spl52_165
| ~ spl52_163
| spl52_166
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2272,f1277,f2290,f2277,f2285]) ).
fof(f2290,plain,
( spl52_166
<=> ! [X9,X8] :
( ~ ssList(X9)
| ~ ssItem(X8)
| sK35(sK30) = X8
| cons(X8,X9) != sK30 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).
fof(f2272,plain,
( ! [X10,X11] :
( ~ ssList(X11)
| sK35(sK30) = X10
| ~ ssItem(sK35(sK30))
| ~ ssList(sK34(sK30))
| ~ ssItem(X10)
| cons(X10,X11) != sK30 )
| ~ spl52_90 ),
inference(superposition,[],[f535,f1279]) ).
fof(f2300,plain,
( ~ spl52_165
| ~ spl52_163
| spl52_168
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2270,f1277,f2298,f2277,f2285]) ).
fof(f2298,plain,
( spl52_168
<=> ! [X6,X7] :
( ~ ssItem(X6)
| ~ frontsegP(sK30,cons(X6,X7))
| ~ ssList(X7)
| sK35(sK30) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_168])]) ).
fof(f2270,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssItem(sK35(sK30))
| ~ ssList(sK34(sK30))
| sK35(sK30) = X6
| ~ ssList(X7)
| ~ frontsegP(sK30,cons(X6,X7)) )
| ~ spl52_90 ),
inference(superposition,[],[f517,f1279]) ).
fof(f2296,plain,
( ~ spl52_163
| ~ spl52_165
| spl52_167
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2274,f1277,f2294,f2285,f2277]) ).
fof(f2274,plain,
( ! [X14,X15] :
( sK34(sK30) = X15
| ~ ssList(sK34(sK30))
| ~ ssList(X15)
| ~ ssItem(sK35(sK30))
| ~ ssItem(X14)
| cons(X14,X15) != sK30 )
| ~ spl52_90 ),
inference(superposition,[],[f536,f1279]) ).
fof(f2292,plain,
( ~ spl52_163
| ~ spl52_165
| spl52_166
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2271,f1277,f2290,f2285,f2277]) ).
fof(f2271,plain,
( ! [X8,X9] :
( ~ ssList(X9)
| ~ ssList(sK34(sK30))
| sK35(sK30) = X8
| ~ ssItem(sK35(sK30))
| cons(X8,X9) != sK30
| ~ ssItem(X8) )
| ~ spl52_90 ),
inference(superposition,[],[f535,f1279]) ).
fof(f2288,plain,
( ~ spl52_163
| ~ spl52_164
| ~ spl52_165
| ~ spl52_90 ),
inference(avatar_split_clause,[],[f2265,f1277,f2285,f2281,f2277]) ).
fof(f2281,plain,
( spl52_164
<=> sK34(sK30) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_164])]) ).
fof(f2265,plain,
( ~ ssList(sK34(sK30))
| sK34(sK30) != sK30
| ~ ssItem(sK35(sK30))
| ~ spl52_90 ),
inference(superposition,[],[f454,f1279]) ).
fof(f2244,plain,
( ~ spl52_16
| spl52_162 ),
inference(avatar_split_clause,[],[f2243,f2232,f663]) ).
fof(f2232,plain,
( spl52_162
<=> frontsegP(sK33,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).
fof(f2243,plain,
( ~ ssList(sK33)
| spl52_162 ),
inference(resolution,[],[f2234,f460]) ).
fof(f2234,plain,
( ~ frontsegP(sK33,sK33)
| spl52_162 ),
inference(avatar_component_clause,[],[f2232]) ).
fof(f2235,plain,
( ~ spl52_16
| ~ spl52_162
| spl52_154 ),
inference(avatar_split_clause,[],[f2230,f1995,f2232,f663]) ).
fof(f2230,plain,
( ~ frontsegP(sK33,sK33)
| ~ ssList(sK33)
| spl52_154 ),
inference(duplicate_literal_removal,[],[f2229]) ).
fof(f2229,plain,
( ~ ssList(sK33)
| ~ frontsegP(sK33,sK33)
| ~ ssList(sK33)
| spl52_154 ),
inference(resolution,[],[f1997,f453]) ).
fof(f453,plain,
! [X0,X1] :
( ssList(sK37(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X0,X1) ),
inference(cnf_transformation,[],[f294]) ).
fof(f1997,plain,
( ~ ssList(sK37(sK33,sK33))
| spl52_154 ),
inference(avatar_component_clause,[],[f1995]) ).
fof(f2206,plain,
( spl52_153
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2195,f1958,f1990]) ).
fof(f1990,plain,
( spl52_153
<=> sK37(nil,nil) = app(app(sK49(sK37(nil,nil),sK37(nil,nil)),sK37(nil,nil)),sK50(sK37(nil,nil),sK37(nil,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_153])]) ).
fof(f1958,plain,
( spl52_149
<=> ssList(sK37(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).
fof(f2195,plain,
( sK37(nil,nil) = app(app(sK49(sK37(nil,nil),sK37(nil,nil)),sK37(nil,nil)),sK50(sK37(nil,nil),sK37(nil,nil)))
| ~ spl52_149 ),
inference(resolution,[],[f1959,f835]) ).
fof(f1959,plain,
( ssList(sK37(nil,nil))
| ~ spl52_149 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f2205,plain,
( spl52_148
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2187,f1958,f1949]) ).
fof(f1949,plain,
( spl52_148
<=> sK37(nil,nil) = app(sK37(nil,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).
fof(f2187,plain,
( sK37(nil,nil) = app(sK37(nil,nil),nil)
| ~ spl52_149 ),
inference(resolution,[],[f1959,f367]) ).
fof(f2204,plain,
( spl52_152
| ~ spl52_31
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2194,f1958,f785,f1984]) ).
fof(f1984,plain,
( spl52_152
<=> sK37(nil,nil) = app(nil,sK37(sK37(nil,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_152])]) ).
fof(f2194,plain,
( sK37(nil,nil) = app(nil,sK37(sK37(nil,nil),nil))
| ~ spl52_31
| ~ spl52_149 ),
inference(resolution,[],[f1959,f786]) ).
fof(f2203,plain,
( spl52_140
| spl52_151
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2189,f1958,f1976,f1877]) ).
fof(f1877,plain,
( spl52_140
<=> nil = sK37(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_140])]) ).
fof(f1976,plain,
( spl52_151
<=> sK37(nil,nil) = cons(sK35(sK37(nil,nil)),sK34(sK37(nil,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_151])]) ).
fof(f2189,plain,
( sK37(nil,nil) = cons(sK35(sK37(nil,nil)),sK34(sK37(nil,nil)))
| nil = sK37(nil,nil)
| ~ spl52_149 ),
inference(resolution,[],[f1959,f440]) ).
fof(f2202,plain,
( spl52_147
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2193,f1958,f1943]) ).
fof(f1943,plain,
( spl52_147
<=> sK37(nil,nil) = app(sK37(nil,nil),sK37(sK37(nil,nil),sK37(nil,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_147])]) ).
fof(f2193,plain,
( sK37(nil,nil) = app(sK37(nil,nil),sK37(sK37(nil,nil),sK37(nil,nil)))
| ~ spl52_149 ),
inference(resolution,[],[f1959,f776]) ).
fof(f2201,plain,
( spl52_150
| ~ spl52_39
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2196,f1958,f844,f1970]) ).
fof(f1970,plain,
( spl52_150
<=> sK37(nil,nil) = app(app(sK49(sK37(nil,nil),nil),nil),sK50(sK37(nil,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).
fof(f2196,plain,
( sK37(nil,nil) = app(app(sK49(sK37(nil,nil),nil),nil),sK50(sK37(nil,nil),nil))
| ~ spl52_39
| ~ spl52_149 ),
inference(resolution,[],[f1959,f845]) ).
fof(f2200,plain,
( spl52_140
| ~ spl52_62
| ~ spl52_149 ),
inference(avatar_split_clause,[],[f2199,f1958,f1055,f1877]) ).
fof(f1055,plain,
( spl52_62
<=> nil = app(nil,sK37(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f2199,plain,
( nil = sK37(nil,nil)
| ~ spl52_62
| ~ spl52_149 ),
inference(forward_demodulation,[],[f2188,f1057]) ).
fof(f1057,plain,
( nil = app(nil,sK37(nil,nil))
| ~ spl52_62 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f2188,plain,
( sK37(nil,nil) = app(nil,sK37(nil,nil))
| ~ spl52_149 ),
inference(resolution,[],[f1959,f408]) ).
fof(f2179,plain,
( ~ spl52_143
| ~ spl52_3
| spl52_149 ),
inference(avatar_split_clause,[],[f2178,f1958,f598,f1903]) ).
fof(f1903,plain,
( spl52_143
<=> frontsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).
fof(f2178,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,nil)
| spl52_149 ),
inference(duplicate_literal_removal,[],[f2177]) ).
fof(f2177,plain,
( ~ ssList(nil)
| ~ frontsegP(nil,nil)
| ~ ssList(nil)
| spl52_149 ),
inference(resolution,[],[f1960,f453]) ).
fof(f1960,plain,
( ~ ssList(sK37(nil,nil))
| spl52_149 ),
inference(avatar_component_clause,[],[f1958]) ).
fof(f2136,plain,
( ~ spl52_16
| spl52_161
| ~ spl52_10
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f2124,f675,f632,f2134,f663]) ).
fof(f2134,plain,
( spl52_161
<=> ! [X13] :
( ~ ssList(app(sK30,X13))
| app(sK33,sK37(app(sK30,X13),sK33)) = app(sK30,X13)
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).
fof(f675,plain,
( spl52_18
<=> frontsegP(sK30,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f2124,plain,
( ! [X13] :
( ~ ssList(sK30)
| ~ ssList(app(sK30,X13))
| ~ ssList(sK33)
| ~ ssList(X13)
| app(sK33,sK37(app(sK30,X13),sK33)) = app(sK30,X13) )
| ~ spl52_18 ),
inference(resolution,[],[f778,f677]) ).
fof(f677,plain,
( frontsegP(sK30,sK33)
| ~ spl52_18 ),
inference(avatar_component_clause,[],[f675]) ).
fof(f778,plain,
! [X2,X3,X1] :
( ~ frontsegP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(X2,X3))
| app(X2,X3) = app(X1,sK37(app(X2,X3),X1))
| ~ ssList(X3) ),
inference(duplicate_literal_removal,[],[f772]) ).
fof(f772,plain,
! [X2,X3,X1] :
( ~ ssList(X2)
| ~ frontsegP(X2,X1)
| ~ ssList(X1)
| app(X2,X3) = app(X1,sK37(app(X2,X3),X1))
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(app(X2,X3)) ),
inference(resolution,[],[f452,f439]) ).
fof(f2132,plain,
( ~ spl52_11
| spl52_160
| ~ spl52_16
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f2123,f627,f663,f2130,f637]) ).
fof(f2130,plain,
( spl52_160
<=> ! [X12] :
( ~ ssList(X12)
| ~ ssList(app(sK29,X12))
| app(sK33,sK37(app(sK29,X12),sK33)) = app(sK29,X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_160])]) ).
fof(f627,plain,
( spl52_9
<=> frontsegP(sK29,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f2123,plain,
( ! [X12] :
( ~ ssList(sK33)
| ~ ssList(X12)
| app(sK33,sK37(app(sK29,X12),sK33)) = app(sK29,X12)
| ~ ssList(app(sK29,X12))
| ~ ssList(sK29) )
| ~ spl52_9 ),
inference(resolution,[],[f778,f629]) ).
fof(f629,plain,
( frontsegP(sK29,sK33)
| ~ spl52_9 ),
inference(avatar_component_clause,[],[f627]) ).
fof(f2115,plain,
( ~ spl52_10
| ~ spl52_16
| spl52_159
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f2101,f675,f2113,f663,f632]) ).
fof(f2113,plain,
( spl52_159
<=> ! [X22,X21] :
( ~ frontsegP(sK33,X22)
| ~ ssList(app(sK30,X21))
| frontsegP(app(sK30,X21),X22)
| ~ ssList(X21)
| ~ ssList(X22) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_159])]) ).
fof(f2101,plain,
( ! [X21,X22] :
( ~ frontsegP(sK33,X22)
| ~ ssList(sK33)
| ~ ssList(sK30)
| ~ ssList(X22)
| ~ ssList(app(sK30,X21))
| ~ ssList(X21)
| frontsegP(app(sK30,X21),X22) )
| ~ spl52_18 ),
inference(resolution,[],[f818,f677]) ).
fof(f818,plain,
! [X2,X3,X4,X5] :
( ~ frontsegP(X4,X3)
| frontsegP(app(X4,X5),X2)
| ~ ssList(X3)
| ~ ssList(app(X4,X5))
| ~ frontsegP(X3,X2)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(X5) ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
! [X2,X3,X4,X5] :
( ~ ssList(X5)
| ~ frontsegP(X3,X2)
| ~ ssList(X3)
| frontsegP(app(X4,X5),X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(X2)
| ~ frontsegP(X4,X3)
| ~ ssList(app(X4,X5)) ),
inference(resolution,[],[f497,f439]) ).
fof(f497,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| ~ ssList(X1)
| frontsegP(X0,X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ frontsegP(X1,X2)
| frontsegP(X0,X2) ) ) ),
inference(flattening,[],[f139]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f2109,plain,
( ~ spl52_11
| spl52_158
| ~ spl52_16
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f2100,f627,f663,f2107,f637]) ).
fof(f2107,plain,
( spl52_158
<=> ! [X20,X19] :
( ~ ssList(X20)
| ~ ssList(X19)
| ~ ssList(app(sK29,X19))
| frontsegP(app(sK29,X19),X20)
| ~ frontsegP(sK33,X20) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_158])]) ).
fof(f2100,plain,
( ! [X19,X20] :
( ~ ssList(sK33)
| ~ ssList(X20)
| ~ ssList(sK29)
| ~ frontsegP(sK33,X20)
| ~ ssList(app(sK29,X19))
| frontsegP(app(sK29,X19),X20)
| ~ ssList(X19) )
| ~ spl52_9 ),
inference(resolution,[],[f818,f629]) ).
fof(f2092,plain,
( ~ spl52_16
| spl52_157
| ~ spl52_11
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f2076,f627,f637,f2090,f663]) ).
fof(f2090,plain,
( spl52_157
<=> ! [X12] :
( sK33 = app(sK29,X12)
| ~ ssList(X12)
| ~ frontsegP(sK33,app(sK29,X12))
| ~ ssList(app(sK29,X12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).
fof(f2076,plain,
( ! [X12] :
( ~ ssList(sK29)
| sK33 = app(sK29,X12)
| ~ ssList(app(sK29,X12))
| ~ ssList(sK33)
| ~ frontsegP(sK33,app(sK29,X12))
| ~ ssList(X12) )
| ~ spl52_9 ),
inference(resolution,[],[f770,f629]) ).
fof(f770,plain,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| ~ ssList(app(X1,X0))
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ frontsegP(X2,app(X1,X0))
| app(X1,X0) = X2 ),
inference(duplicate_literal_removal,[],[f769]) ).
fof(f769,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ frontsegP(X2,app(X1,X0))
| ~ ssList(X0)
| app(X1,X0) = X2
| ~ ssList(app(X1,X0))
| ~ frontsegP(X1,X2)
| ~ ssList(X2) ),
inference(resolution,[],[f439,f392]) ).
fof(f392,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ frontsegP(X1,X0)
| ~ ssList(X1)
| ~ frontsegP(X0,X1)
| X0 = X1 ) ),
inference(flattening,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f2088,plain,
( ~ spl52_16
| ~ spl52_10
| spl52_156
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f2077,f675,f2086,f632,f663]) ).
fof(f2086,plain,
( spl52_156
<=> ! [X13] :
( ~ ssList(app(sK30,X13))
| ~ ssList(X13)
| app(sK30,X13) = sK33
| ~ frontsegP(sK33,app(sK30,X13)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).
fof(f2077,plain,
( ! [X13] :
( ~ ssList(app(sK30,X13))
| ~ ssList(sK30)
| ~ frontsegP(sK33,app(sK30,X13))
| app(sK30,X13) = sK33
| ~ ssList(X13)
| ~ ssList(sK33) )
| ~ spl52_18 ),
inference(resolution,[],[f770,f677]) ).
fof(f2066,plain,
( ~ spl52_3
| spl52_143 ),
inference(avatar_split_clause,[],[f2063,f1903,f598]) ).
fof(f2063,plain,
( ~ ssList(nil)
| spl52_143 ),
inference(resolution,[],[f1904,f461]) ).
fof(f461,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f1904,plain,
( ~ frontsegP(nil,nil)
| spl52_143 ),
inference(avatar_component_clause,[],[f1903]) ).
fof(f2065,plain,
( ~ spl52_3
| spl52_143 ),
inference(avatar_split_clause,[],[f2064,f1903,f598]) ).
fof(f2064,plain,
( ~ ssList(nil)
| spl52_143 ),
inference(resolution,[],[f1904,f460]) ).
fof(f2015,plain,
( spl52_51
| ~ spl52_70
| ~ spl52_131 ),
inference(avatar_split_clause,[],[f2014,f1744,f1112,f934]) ).
fof(f934,plain,
( spl52_51
<=> app(nil,sK33) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f1112,plain,
( spl52_70
<=> app(nil,sK37(sK33,nil)) = sK33 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f2014,plain,
( app(nil,sK33) = sK33
| ~ spl52_70
| ~ spl52_131 ),
inference(forward_demodulation,[],[f1114,f1746]) ).
fof(f1114,plain,
( app(nil,sK37(sK33,nil)) = sK33
| ~ spl52_70 ),
inference(avatar_component_clause,[],[f1112]) ).
fof(f2013,plain,
( spl52_16
| ~ spl52_128
| ~ spl52_131 ),
inference(avatar_split_clause,[],[f2012,f1744,f1709,f663]) ).
fof(f1709,plain,
( spl52_128
<=> ssList(sK37(sK33,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_128])]) ).
fof(f2012,plain,
( ssList(sK33)
| ~ spl52_128
| ~ spl52_131 ),
inference(forward_demodulation,[],[f1710,f1746]) ).
fof(f1710,plain,
( ssList(sK37(sK33,nil))
| ~ spl52_128 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f2010,plain,
( spl52_45
| ~ spl52_131
| ~ spl52_137 ),
inference(avatar_split_clause,[],[f2009,f1773,f1744,f896]) ).
fof(f896,plain,
( spl52_45
<=> sK33 = app(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f1773,plain,
( spl52_137
<=> app(sK37(sK33,nil),nil) = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_137])]) ).
fof(f2009,plain,
( sK33 = app(sK33,nil)
| ~ spl52_131
| ~ spl52_137 ),
inference(forward_demodulation,[],[f1775,f1746]) ).
fof(f1775,plain,
( app(sK37(sK33,nil),nil) = sK37(sK33,nil)
| ~ spl52_137 ),
inference(avatar_component_clause,[],[f1773]) ).
fof(f2008,plain,
( spl52_60
| ~ spl52_131
| ~ spl52_132 ),
inference(avatar_split_clause,[],[f2007,f1749,f1744,f1045]) ).
fof(f1749,plain,
( spl52_132
<=> app(sK37(sK33,nil),sK37(sK37(sK33,nil),sK37(sK33,nil))) = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).
fof(f2007,plain,
( app(sK33,sK37(sK33,sK33)) = sK33
| ~ spl52_131
| ~ spl52_132 ),
inference(forward_demodulation,[],[f1751,f1746]) ).
fof(f1751,plain,
( app(sK37(sK33,nil),sK37(sK37(sK33,nil),sK37(sK33,nil))) = sK37(sK33,nil)
| ~ spl52_132 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f2002,plain,
( ~ spl52_154
| spl52_155
| ~ spl52_92
| ~ spl52_16
| ~ spl52_60 ),
inference(avatar_split_clause,[],[f1696,f1045,f663,f1286,f1999,f1995]) ).
fof(f1696,plain,
( ~ ssList(sK33)
| nil != sK33
| nil = sK37(sK33,sK33)
| ~ ssList(sK37(sK33,sK33))
| ~ spl52_60 ),
inference(superposition,[],[f520,f1047]) ).
fof(f1993,plain,
( spl52_153
| ~ spl52_92
| ~ spl52_136 ),
inference(avatar_split_clause,[],[f1988,f1768,f1286,f1990]) ).
fof(f1768,plain,
( spl52_136
<=> app(app(sK49(sK37(sK33,nil),sK37(sK33,nil)),sK37(sK33,nil)),sK50(sK37(sK33,nil),sK37(sK33,nil))) = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_136])]) ).
fof(f1988,plain,
( sK37(nil,nil) = app(app(sK49(sK37(nil,nil),sK37(nil,nil)),sK37(nil,nil)),sK50(sK37(nil,nil),sK37(nil,nil)))
| ~ spl52_92
| ~ spl52_136 ),
inference(forward_demodulation,[],[f1770,f1288]) ).
fof(f1770,plain,
( app(app(sK49(sK37(sK33,nil),sK37(sK33,nil)),sK37(sK33,nil)),sK50(sK37(sK33,nil),sK37(sK33,nil))) = sK37(sK33,nil)
| ~ spl52_136 ),
inference(avatar_component_clause,[],[f1768]) ).
fof(f1987,plain,
( spl52_152
| ~ spl52_92
| ~ spl52_138 ),
inference(avatar_split_clause,[],[f1982,f1778,f1286,f1984]) ).
fof(f1778,plain,
( spl52_138
<=> sK37(sK33,nil) = app(nil,sK37(sK37(sK33,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_138])]) ).
fof(f1982,plain,
( sK37(nil,nil) = app(nil,sK37(sK37(nil,nil),nil))
| ~ spl52_92
| ~ spl52_138 ),
inference(forward_demodulation,[],[f1780,f1288]) ).
fof(f1780,plain,
( sK37(sK33,nil) = app(nil,sK37(sK37(sK33,nil),nil))
| ~ spl52_138 ),
inference(avatar_component_clause,[],[f1778]) ).
fof(f1981,plain,
( spl52_140
| ~ spl52_92
| ~ spl52_131 ),
inference(avatar_split_clause,[],[f1980,f1744,f1286,f1877]) ).
fof(f1980,plain,
( nil = sK37(nil,nil)
| ~ spl52_92
| ~ spl52_131 ),
inference(forward_demodulation,[],[f1746,f1288]) ).
fof(f1979,plain,
( ~ spl52_151
| ~ spl52_92
| spl52_134 ),
inference(avatar_split_clause,[],[f1974,f1758,f1286,f1976]) ).
fof(f1974,plain,
( sK37(nil,nil) != cons(sK35(sK37(nil,nil)),sK34(sK37(nil,nil)))
| ~ spl52_92
| spl52_134 ),
inference(forward_demodulation,[],[f1759,f1288]) ).
fof(f1759,plain,
( cons(sK35(sK37(sK33,nil)),sK34(sK37(sK33,nil))) != sK37(sK33,nil)
| spl52_134 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1973,plain,
( spl52_150
| ~ spl52_92
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1968,f1763,f1286,f1970]) ).
fof(f1763,plain,
( spl52_135
<=> app(app(sK49(sK37(sK33,nil),nil),nil),sK50(sK37(sK33,nil),nil)) = sK37(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_135])]) ).
fof(f1968,plain,
( sK37(nil,nil) = app(app(sK49(sK37(nil,nil),nil),nil),sK50(sK37(nil,nil),nil))
| ~ spl52_92
| ~ spl52_135 ),
inference(forward_demodulation,[],[f1765,f1288]) ).
fof(f1765,plain,
( app(app(sK49(sK37(sK33,nil),nil),nil),sK50(sK37(sK33,nil),nil)) = sK37(sK33,nil)
| ~ spl52_135 ),
inference(avatar_component_clause,[],[f1763]) ).
fof(f1967,plain,
( ~ spl52_149
| spl52_140
| ~ spl52_3
| ~ spl52_60
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1966,f1286,f1045,f598,f1877,f1958]) ).
fof(f1966,plain,
( ~ ssList(nil)
| nil = sK37(nil,nil)
| ~ ssList(sK37(nil,nil))
| ~ spl52_60
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1965,f1288]) ).
fof(f1965,plain,
( ~ ssList(nil)
| ~ ssList(sK37(sK33,sK33))
| nil = sK37(nil,nil)
| ~ spl52_60
| ~ spl52_92 ),
inference(trivial_inequality_removal,[],[f1964]) ).
fof(f1964,plain,
( ~ ssList(sK37(sK33,sK33))
| nil = sK37(nil,nil)
| ~ ssList(nil)
| nil != nil
| ~ spl52_60
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1963,f1288]) ).
fof(f1963,plain,
( nil != sK33
| ~ ssList(sK37(sK33,sK33))
| nil = sK37(nil,nil)
| ~ ssList(nil)
| ~ spl52_60
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1962,f1288]) ).
fof(f1962,plain,
( nil = sK37(sK33,sK33)
| ~ ssList(nil)
| nil != sK33
| ~ ssList(sK37(sK33,sK33))
| ~ spl52_60
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1696,f1288]) ).
fof(f1961,plain,
( spl52_140
| ~ spl52_3
| ~ spl52_149
| ~ spl52_70
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1956,f1286,f1112,f1958,f598,f1877]) ).
fof(f1956,plain,
( ~ ssList(sK37(nil,nil))
| ~ ssList(nil)
| nil = sK37(nil,nil)
| ~ spl52_70
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1955,f1288]) ).
fof(f1955,plain,
( ~ ssList(nil)
| ~ ssList(sK37(sK33,nil))
| nil = sK37(nil,nil)
| ~ spl52_70
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1954,f1288]) ).
fof(f1954,plain,
( nil = sK37(sK33,nil)
| ~ ssList(sK37(sK33,nil))
| ~ ssList(nil)
| ~ spl52_70
| ~ spl52_92 ),
inference(trivial_inequality_removal,[],[f1953]) ).
fof(f1953,plain,
( nil = sK37(sK33,nil)
| nil != nil
| ~ ssList(nil)
| ~ ssList(sK37(sK33,nil))
| ~ spl52_70
| ~ spl52_92 ),
inference(forward_demodulation,[],[f1703,f1288]) ).
fof(f1703,plain,
( ~ ssList(sK37(sK33,nil))
| ~ ssList(nil)
| nil != sK33
| nil = sK37(sK33,nil)
| ~ spl52_70 ),
inference(superposition,[],[f520,f1114]) ).
fof(f1952,plain,
( spl52_148
| ~ spl52_92
| ~ spl52_137 ),
inference(avatar_split_clause,[],[f1947,f1773,f1286,f1949]) ).
fof(f1947,plain,
( sK37(nil,nil) = app(sK37(nil,nil),nil)
| ~ spl52_92
| ~ spl52_137 ),
inference(forward_demodulation,[],[f1775,f1288]) ).
fof(f1946,plain,
( spl52_147
| ~ spl52_92
| ~ spl52_132 ),
inference(avatar_split_clause,[],[f1941,f1749,f1286,f1943]) ).
fof(f1941,plain,
( sK37(nil,nil) = app(sK37(nil,nil),sK37(sK37(nil,nil),sK37(nil,nil)))
| ~ spl52_92
| ~ spl52_132 ),
inference(forward_demodulation,[],[f1751,f1288]) ).
fof(f1935,plain,
( ~ spl52_146
| spl52_26
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1802,f1286,f746,f1932]) ).
fof(f1932,plain,
( spl52_146
<=> frontsegP(nil,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_146])]) ).
fof(f746,plain,
( spl52_26
<=> frontsegP(sK33,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f1802,plain,
( ~ frontsegP(nil,sK29)
| spl52_26
| ~ spl52_92 ),
inference(backward_demodulation,[],[f748,f1288]) ).
fof(f748,plain,
( ~ frontsegP(sK33,sK29)
| spl52_26 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1927,plain,
( spl52_145
| ~ spl52_6
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1798,f1286,f614,f1924]) ).
fof(f1798,plain,
( neq(nil,nil)
| ~ spl52_6
| ~ spl52_92 ),
inference(backward_demodulation,[],[f616,f1288]) ).
fof(f616,plain,
( neq(sK33,nil)
| ~ spl52_6 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f1920,plain,
( ~ spl52_144
| spl52_91
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1828,f1286,f1282,f1917]) ).
fof(f1917,plain,
( spl52_144
<=> nil = cons(sK35(nil),sK34(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_144])]) ).
fof(f1828,plain,
( nil != cons(sK35(nil),sK34(nil))
| spl52_91
| ~ spl52_92 ),
inference(backward_demodulation,[],[f1283,f1288]) ).
fof(f1283,plain,
( sK33 != cons(sK35(sK33),sK34(sK33))
| spl52_91 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1906,plain,
( spl52_143
| ~ spl52_92
| ~ spl52_130 ),
inference(avatar_split_clause,[],[f1853,f1718,f1286,f1903]) ).
fof(f1718,plain,
( spl52_130
<=> frontsegP(sK33,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).
fof(f1853,plain,
( frontsegP(nil,nil)
| ~ spl52_92
| ~ spl52_130 ),
inference(backward_demodulation,[],[f1719,f1288]) ).
fof(f1719,plain,
( frontsegP(sK33,nil)
| ~ spl52_130 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1896,plain,
( ~ spl52_142
| spl52_28
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1804,f1286,f755,f1893]) ).
fof(f1893,plain,
( spl52_142
<=> frontsegP(nil,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).
fof(f755,plain,
( spl52_28
<=> frontsegP(sK33,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f1804,plain,
( ~ frontsegP(nil,sK30)
| spl52_28
| ~ spl52_92 ),
inference(backward_demodulation,[],[f757,f1288]) ).
fof(f757,plain,
( ~ frontsegP(sK33,sK30)
| spl52_28 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f1887,plain,
( ~ spl52_141
| ~ spl52_92
| spl52_94 ),
inference(avatar_split_clause,[],[f1830,f1295,f1286,f1884]) ).
fof(f1884,plain,
( spl52_141
<=> nil = sK37(sK30,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).
fof(f1295,plain,
( spl52_94
<=> nil = sK37(sK30,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f1830,plain,
( nil != sK37(sK30,nil)
| ~ spl52_92
| spl52_94 ),
inference(backward_demodulation,[],[f1296,f1288]) ).
fof(f1296,plain,
( nil != sK37(sK30,sK33)
| spl52_94 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1880,plain,
( spl52_140
| ~ spl52_92
| ~ spl52_133 ),
inference(avatar_split_clause,[],[f1854,f1754,f1286,f1877]) ).
fof(f1854,plain,
( nil = sK37(nil,nil)
| ~ spl52_92
| ~ spl52_133 ),
inference(backward_demodulation,[],[f1756,f1288]) ).
fof(f1872,plain,
( ~ spl52_139
| spl52_89
| ~ spl52_92 ),
inference(avatar_split_clause,[],[f1827,f1286,f1272,f1869]) ).
fof(f1869,plain,
( spl52_139
<=> nil = sK37(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).
fof(f1272,plain,
( spl52_89
<=> nil = sK37(sK29,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).
fof(f1827,plain,
( nil != sK37(sK29,nil)
| spl52_89
| ~ spl52_92 ),
inference(backward_demodulation,[],[f1273,f1288]) ).
fof(f1273,plain,
( nil != sK37(sK29,sK33)
| spl52_89 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1795,plain,
( spl52_92
| ~ spl52_48
| ~ spl52_70
| ~ spl52_133 ),
inference(avatar_split_clause,[],[f1794,f1754,f1112,f911,f1286]) ).
fof(f911,plain,
( spl52_48
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f1794,plain,
( nil = sK33
| ~ spl52_48
| ~ spl52_70
| ~ spl52_133 ),
inference(forward_demodulation,[],[f1782,f913]) ).
fof(f913,plain,
( nil = app(nil,nil)
| ~ spl52_48 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f1782,plain,
( app(nil,nil) = sK33
| ~ spl52_70
| ~ spl52_133 ),
inference(backward_demodulation,[],[f1114,f1756]) ).
fof(f1781,plain,
( spl52_138
| ~ spl52_31
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1737,f1709,f785,f1778]) ).
fof(f1737,plain,
( sK37(sK33,nil) = app(nil,sK37(sK37(sK33,nil),nil))
| ~ spl52_31
| ~ spl52_128 ),
inference(resolution,[],[f1710,f786]) ).
fof(f1776,plain,
( spl52_137
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1730,f1709,f1773]) ).
fof(f1730,plain,
( app(sK37(sK33,nil),nil) = sK37(sK33,nil)
| ~ spl52_128 ),
inference(resolution,[],[f1710,f367]) ).
fof(f1771,plain,
( spl52_136
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1738,f1709,f1768]) ).
fof(f1738,plain,
( app(app(sK49(sK37(sK33,nil),sK37(sK33,nil)),sK37(sK33,nil)),sK50(sK37(sK33,nil),sK37(sK33,nil))) = sK37(sK33,nil)
| ~ spl52_128 ),
inference(resolution,[],[f1710,f835]) ).
fof(f1766,plain,
( spl52_135
| ~ spl52_39
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1739,f1709,f844,f1763]) ).
fof(f1739,plain,
( app(app(sK49(sK37(sK33,nil),nil),nil),sK50(sK37(sK33,nil),nil)) = sK37(sK33,nil)
| ~ spl52_39
| ~ spl52_128 ),
inference(resolution,[],[f1710,f845]) ).
fof(f1761,plain,
( spl52_133
| spl52_134
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1732,f1709,f1758,f1754]) ).
fof(f1732,plain,
( cons(sK35(sK37(sK33,nil)),sK34(sK37(sK33,nil))) = sK37(sK33,nil)
| nil = sK37(sK33,nil)
| ~ spl52_128 ),
inference(resolution,[],[f1710,f440]) ).
fof(f1752,plain,
( spl52_132
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1736,f1709,f1749]) ).
fof(f1736,plain,
( app(sK37(sK33,nil),sK37(sK37(sK33,nil),sK37(sK33,nil))) = sK37(sK33,nil)
| ~ spl52_128 ),
inference(resolution,[],[f1710,f776]) ).
fof(f1747,plain,
( spl52_131
| ~ spl52_70
| ~ spl52_128 ),
inference(avatar_split_clause,[],[f1742,f1709,f1112,f1744]) ).
fof(f1742,plain,
( sK33 = sK37(sK33,nil)
| ~ spl52_70
| ~ spl52_128 ),
inference(forward_demodulation,[],[f1731,f1114]) ).
fof(f1731,plain,
( app(nil,sK37(sK33,nil)) = sK37(sK33,nil)
| ~ spl52_128 ),
inference(resolution,[],[f1710,f408]) ).
fof(f1725,plain,
( ~ spl52_16
| spl52_130 ),
inference(avatar_split_clause,[],[f1724,f1718,f663]) ).
fof(f1724,plain,
( ~ ssList(sK33)
| spl52_130 ),
inference(resolution,[],[f1720,f461]) ).
fof(f1720,plain,
( ~ frontsegP(sK33,nil)
| spl52_130 ),
inference(avatar_component_clause,[],[f1718]) ).
fof(f1721,plain,
( ~ spl52_130
| ~ spl52_16
| ~ spl52_3
| spl52_128 ),
inference(avatar_split_clause,[],[f1716,f1709,f598,f663,f1718]) ).
fof(f1716,plain,
( ~ ssList(nil)
| ~ ssList(sK33)
| ~ frontsegP(sK33,nil)
| spl52_128 ),
inference(resolution,[],[f1711,f453]) ).
fof(f1711,plain,
( ~ ssList(sK37(sK33,nil))
| spl52_128 ),
inference(avatar_component_clause,[],[f1709]) ).
fof(f1715,plain,
( ~ spl52_3
| ~ spl52_128
| spl52_129
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f1706,f1112,f1713,f1709,f598]) ).
fof(f1713,plain,
( spl52_129
<=> ! [X1] :
( ~ ssList(X1)
| frontsegP(sK33,X1)
| ~ frontsegP(nil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_129])]) ).
fof(f1706,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(nil,X1)
| ~ ssList(sK37(sK33,nil))
| frontsegP(sK33,X1)
| ~ ssList(nil) )
| ~ spl52_70 ),
inference(superposition,[],[f439,f1114]) ).
fof(f1601,plain,
( spl52_127
| ~ spl52_10
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f1563,f844,f632,f1598]) ).
fof(f1563,plain,
( app(app(sK49(sK30,nil),nil),sK50(sK30,nil)) = sK30
| ~ spl52_10
| ~ spl52_39 ),
inference(resolution,[],[f845,f634]) ).
fof(f634,plain,
( ssList(sK30)
| ~ spl52_10 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f1596,plain,
( spl52_126
| ~ spl52_39
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1569,f1351,f844,f1593]) ).
fof(f1593,plain,
( spl52_126
<=> sK37(sK30,sK30) = app(app(sK49(sK37(sK30,sK30),nil),nil),sK50(sK37(sK30,sK30),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).
fof(f1351,plain,
( spl52_100
<=> ssList(sK37(sK30,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).
fof(f1569,plain,
( sK37(sK30,sK30) = app(app(sK49(sK37(sK30,sK30),nil),nil),sK50(sK37(sK30,sK30),nil))
| ~ spl52_39
| ~ spl52_100 ),
inference(resolution,[],[f845,f1353]) ).
fof(f1353,plain,
( ssList(sK37(sK30,sK30))
| ~ spl52_100 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1591,plain,
( spl52_125
| ~ spl52_39
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f1568,f872,f844,f1588]) ).
fof(f1588,plain,
( spl52_125
<=> sK37(sK30,sK33) = app(app(sK49(sK37(sK30,sK33),nil),nil),sK50(sK37(sK30,sK33),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_125])]) ).
fof(f872,plain,
( spl52_42
<=> ssList(sK37(sK30,sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f1568,plain,
( sK37(sK30,sK33) = app(app(sK49(sK37(sK30,sK33),nil),nil),sK50(sK37(sK30,sK33),nil))
| ~ spl52_39
| ~ spl52_42 ),
inference(resolution,[],[f845,f873]) ).
fof(f873,plain,
( ssList(sK37(sK30,sK33))
| ~ spl52_42 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f1586,plain,
( spl52_124
| ~ spl52_16
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f1564,f844,f663,f1583]) ).
fof(f1564,plain,
( app(app(sK49(sK33,nil),nil),sK50(sK33,nil)) = sK33
| ~ spl52_16
| ~ spl52_39 ),
inference(resolution,[],[f845,f665]) ).
fof(f1581,plain,
( spl52_123
| ~ spl52_11
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f1562,f844,f637,f1578]) ).
fof(f1562,plain,
( app(app(sK49(sK29,nil),nil),sK50(sK29,nil)) = sK29
| ~ spl52_11
| ~ spl52_39 ),
inference(resolution,[],[f845,f639]) ).
fof(f639,plain,
( ssList(sK29)
| ~ spl52_11 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f1576,plain,
( spl52_122
| ~ spl52_35
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f1567,f844,f809,f1573]) ).
fof(f1573,plain,
( spl52_122
<=> sK37(sK29,sK33) = app(app(sK49(sK37(sK29,sK33),nil),nil),sK50(sK37(sK29,sK33),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).
fof(f809,plain,
( spl52_35
<=> ssList(sK37(sK29,sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f1567,plain,
( sK37(sK29,sK33) = app(app(sK49(sK37(sK29,sK33),nil),nil),sK50(sK37(sK29,sK33),nil))
| ~ spl52_35
| ~ spl52_39 ),
inference(resolution,[],[f845,f810]) ).
fof(f810,plain,
( ssList(sK37(sK29,sK33))
| ~ spl52_35 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f1557,plain,
( spl52_109
| spl52_121
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1539,f1351,f1554,f1398]) ).
fof(f1398,plain,
( spl52_109
<=> sK37(sK30,sK30) = cons(sK35(sK37(sK30,sK30)),sK34(sK37(sK30,sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).
fof(f1554,plain,
( spl52_121
<=> nil = sK37(sK30,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).
fof(f1539,plain,
( nil = sK37(sK30,sK30)
| sK37(sK30,sK30) = cons(sK35(sK37(sK30,sK30)),sK34(sK37(sK30,sK30)))
| ~ spl52_100 ),
inference(resolution,[],[f1353,f440]) ).
fof(f1552,plain,
( spl52_120
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1538,f1351,f1549]) ).
fof(f1549,plain,
( spl52_120
<=> sK37(sK30,sK30) = app(app(sK49(sK37(sK30,sK30),sK37(sK30,sK30)),sK37(sK30,sK30)),sK50(sK37(sK30,sK30),sK37(sK30,sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_120])]) ).
fof(f1538,plain,
( sK37(sK30,sK30) = app(app(sK49(sK37(sK30,sK30),sK37(sK30,sK30)),sK37(sK30,sK30)),sK50(sK37(sK30,sK30),sK37(sK30,sK30)))
| ~ spl52_100 ),
inference(resolution,[],[f1353,f835]) ).
fof(f1547,plain,
( spl52_97
| ~ spl52_31
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1540,f1351,f785,f1336]) ).
fof(f1336,plain,
( spl52_97
<=> sK37(sK30,sK30) = app(nil,sK37(sK37(sK30,sK30),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f1540,plain,
( sK37(sK30,sK30) = app(nil,sK37(sK37(sK30,sK30),nil))
| ~ spl52_31
| ~ spl52_100 ),
inference(resolution,[],[f1353,f786]) ).
fof(f1546,plain,
( spl52_98
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1542,f1351,f1341]) ).
fof(f1341,plain,
( spl52_98
<=> sK37(sK30,sK30) = app(nil,sK37(sK30,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f1542,plain,
( sK37(sK30,sK30) = app(nil,sK37(sK30,sK30))
| ~ spl52_100 ),
inference(resolution,[],[f1353,f408]) ).
fof(f1545,plain,
( spl52_108
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1543,f1351,f1391]) ).
fof(f1391,plain,
( spl52_108
<=> sK37(sK30,sK30) = app(sK37(sK30,sK30),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).
fof(f1543,plain,
( sK37(sK30,sK30) = app(sK37(sK30,sK30),nil)
| ~ spl52_100 ),
inference(resolution,[],[f1353,f367]) ).
fof(f1544,plain,
( spl52_107
| ~ spl52_100 ),
inference(avatar_split_clause,[],[f1541,f1351,f1386]) ).
fof(f1386,plain,
( spl52_107
<=> sK37(sK30,sK30) = app(sK37(sK30,sK30),sK37(sK37(sK30,sK30),sK37(sK30,sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).
fof(f1541,plain,
( sK37(sK30,sK30) = app(sK37(sK30,sK30),sK37(sK37(sK30,sK30),sK37(sK30,sK30)))
| ~ spl52_100 ),
inference(resolution,[],[f1353,f776]) ).
fof(f1537,plain,
( ~ spl52_10
| ~ spl52_106
| spl52_100 ),
inference(avatar_split_clause,[],[f1536,f1351,f1381,f632]) ).
fof(f1381,plain,
( spl52_106
<=> frontsegP(sK30,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).
fof(f1536,plain,
( ~ frontsegP(sK30,sK30)
| ~ ssList(sK30)
| spl52_100 ),
inference(duplicate_literal_removal,[],[f1535]) ).
fof(f1535,plain,
( ~ ssList(sK30)
| ~ frontsegP(sK30,sK30)
| ~ ssList(sK30)
| spl52_100 ),
inference(resolution,[],[f1352,f453]) ).
fof(f1352,plain,
( ~ ssList(sK37(sK30,sK30))
| spl52_100 ),
inference(avatar_component_clause,[],[f1351]) ).
fof(f1534,plain,
( spl52_119
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f1502,f632,f1531]) ).
fof(f1502,plain,
( app(app(sK49(sK30,sK30),sK30),sK50(sK30,sK30)) = sK30
| ~ spl52_10 ),
inference(resolution,[],[f835,f634]) ).
fof(f1529,plain,
( spl52_118
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f1507,f872,f1526]) ).
fof(f1526,plain,
( spl52_118
<=> app(app(sK49(sK37(sK30,sK33),sK37(sK30,sK33)),sK37(sK30,sK33)),sK50(sK37(sK30,sK33),sK37(sK30,sK33))) = sK37(sK30,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_118])]) ).
fof(f1507,plain,
( app(app(sK49(sK37(sK30,sK33),sK37(sK30,sK33)),sK37(sK30,sK33)),sK50(sK37(sK30,sK33),sK37(sK30,sK33))) = sK37(sK30,sK33)
| ~ spl52_42 ),
inference(resolution,[],[f835,f873]) ).
fof(f1524,plain,
( spl52_117
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1503,f663,f1521]) ).
fof(f1503,plain,
( app(app(sK49(sK33,sK33),sK33),sK50(sK33,sK33)) = sK33
| ~ spl52_16 ),
inference(resolution,[],[f835,f665]) ).
fof(f1519,plain,
( spl52_116
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f1506,f809,f1516]) ).
fof(f1516,plain,
( spl52_116
<=> sK37(sK29,sK33) = app(app(sK49(sK37(sK29,sK33),sK37(sK29,sK33)),sK37(sK29,sK33)),sK50(sK37(sK29,sK33),sK37(sK29,sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_116])]) ).
fof(f1506,plain,
( sK37(sK29,sK33) = app(app(sK49(sK37(sK29,sK33),sK37(sK29,sK33)),sK37(sK29,sK33)),sK50(sK37(sK29,sK33),sK37(sK29,sK33)))
| ~ spl52_35 ),
inference(resolution,[],[f835,f810]) ).
fof(f1514,plain,
( spl52_115
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1501,f637,f1511]) ).
fof(f1501,plain,
( app(app(sK49(sK29,sK29),sK29),sK50(sK29,sK29)) = sK29
| ~ spl52_11 ),
inference(resolution,[],[f835,f639]) ).
fof(f1447,plain,
( ~ spl52_10
| spl52_106 ),
inference(avatar_split_clause,[],[f1446,f1381,f632]) ).
fof(f1446,plain,
( ~ ssList(sK30)
| spl52_106 ),
inference(resolution,[],[f1382,f460]) ).
fof(f1382,plain,
( ~ frontsegP(sK30,sK30)
| spl52_106 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1433,plain,
( spl52_114
| ~ spl52_27
| ~ spl52_94 ),
inference(avatar_split_clause,[],[f1428,f1295,f750,f1430]) ).
fof(f1430,plain,
( spl52_114
<=> nil = sK37(sK30,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_114])]) ).
fof(f1428,plain,
( nil = sK37(sK30,sK29)
| ~ spl52_27
| ~ spl52_94 ),
inference(forward_demodulation,[],[f1297,f752]) ).
fof(f752,plain,
( sK33 = sK29
| ~ spl52_27 ),
inference(avatar_component_clause,[],[f750]) ).
fof(f1297,plain,
( nil = sK37(sK30,sK33)
| ~ spl52_94 ),
inference(avatar_component_clause,[],[f1295]) ).
fof(f1427,plain,
( spl52_104
| ~ spl52_27
| ~ spl52_28 ),
inference(avatar_split_clause,[],[f1426,f755,f750,f1371]) ).
fof(f1371,plain,
( spl52_104
<=> frontsegP(sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f1426,plain,
( frontsegP(sK29,sK30)
| ~ spl52_27
| ~ spl52_28 ),
inference(forward_demodulation,[],[f756,f752]) ).
fof(f756,plain,
( frontsegP(sK33,sK30)
| ~ spl52_28 ),
inference(avatar_component_clause,[],[f755]) ).
fof(f1425,plain,
( spl52_113
| ~ spl52_27
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f1420,f759,f750,f1422]) ).
fof(f1422,plain,
( spl52_113
<=> sK29 = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_113])]) ).
fof(f1420,plain,
( sK29 = sK30
| ~ spl52_27
| ~ spl52_29 ),
inference(backward_demodulation,[],[f761,f752]) ).
fof(f761,plain,
( sK33 = sK30
| ~ spl52_29 ),
inference(avatar_component_clause,[],[f759]) ).
fof(f1419,plain,
( spl52_112
| ~ spl52_26
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f1414,f759,f746,f1416]) ).
fof(f1416,plain,
( spl52_112
<=> frontsegP(sK30,sK29) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).
fof(f1414,plain,
( frontsegP(sK30,sK29)
| ~ spl52_26
| ~ spl52_29 ),
inference(forward_demodulation,[],[f747,f761]) ).
fof(f747,plain,
( frontsegP(sK33,sK29)
| ~ spl52_26 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f1413,plain,
( ~ spl52_111
| ~ spl52_29
| spl52_88 ),
inference(avatar_split_clause,[],[f1408,f1268,f759,f1410]) ).
fof(f1410,plain,
( spl52_111
<=> cons(sK35(sK37(sK29,sK30)),sK34(sK37(sK29,sK30))) = sK37(sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_111])]) ).
fof(f1268,plain,
( spl52_88
<=> sK37(sK29,sK33) = cons(sK35(sK37(sK29,sK33)),sK34(sK37(sK29,sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).
fof(f1408,plain,
( cons(sK35(sK37(sK29,sK30)),sK34(sK37(sK29,sK30))) != sK37(sK29,sK30)
| ~ spl52_29
| spl52_88 ),
inference(forward_demodulation,[],[f1269,f761]) ).
fof(f1269,plain,
( sK37(sK29,sK33) != cons(sK35(sK37(sK29,sK33)),sK34(sK37(sK29,sK33)))
| spl52_88 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1407,plain,
( spl52_110
| ~ spl52_29
| ~ spl52_89 ),
inference(avatar_split_clause,[],[f1402,f1272,f759,f1404]) ).
fof(f1404,plain,
( spl52_110
<=> nil = sK37(sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).
fof(f1402,plain,
( nil = sK37(sK29,sK30)
| ~ spl52_29
| ~ spl52_89 ),
inference(forward_demodulation,[],[f1274,f761]) ).
fof(f1274,plain,
( nil = sK37(sK29,sK33)
| ~ spl52_89 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1401,plain,
( ~ spl52_109
| ~ spl52_29
| spl52_93 ),
inference(avatar_split_clause,[],[f1396,f1291,f759,f1398]) ).
fof(f1291,plain,
( spl52_93
<=> sK37(sK30,sK33) = cons(sK35(sK37(sK30,sK33)),sK34(sK37(sK30,sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).
fof(f1396,plain,
( sK37(sK30,sK30) != cons(sK35(sK37(sK30,sK30)),sK34(sK37(sK30,sK30)))
| ~ spl52_29
| spl52_93 ),
inference(forward_demodulation,[],[f1292,f761]) ).
fof(f1292,plain,
( sK37(sK30,sK33) != cons(sK35(sK37(sK30,sK33)),sK34(sK37(sK30,sK33)))
| spl52_93 ),
inference(avatar_component_clause,[],[f1291]) ).
fof(f1394,plain,
( spl52_108
| ~ spl52_29
| ~ spl52_54 ),
inference(avatar_split_clause,[],[f1320,f958,f759,f1391]) ).
fof(f958,plain,
( spl52_54
<=> app(sK37(sK30,sK33),nil) = sK37(sK30,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f1320,plain,
( sK37(sK30,sK30) = app(sK37(sK30,sK30),nil)
| ~ spl52_29
| ~ spl52_54 ),
inference(backward_demodulation,[],[f960,f761]) ).
fof(f960,plain,
( app(sK37(sK30,sK33),nil) = sK37(sK30,sK33)
| ~ spl52_54 ),
inference(avatar_component_clause,[],[f958]) ).
fof(f1389,plain,
( spl52_107
| ~ spl52_29
| ~ spl52_64 ),
inference(avatar_split_clause,[],[f1325,f1065,f759,f1386]) ).
fof(f1065,plain,
( spl52_64
<=> sK37(sK30,sK33) = app(sK37(sK30,sK33),sK37(sK37(sK30,sK33),sK37(sK30,sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f1325,plain,
( sK37(sK30,sK30) = app(sK37(sK30,sK30),sK37(sK37(sK30,sK30),sK37(sK30,sK30)))
| ~ spl52_29
| ~ spl52_64 ),
inference(backward_demodulation,[],[f1067,f761]) ).
fof(f1067,plain,
( sK37(sK30,sK33) = app(sK37(sK30,sK33),sK37(sK37(sK30,sK33),sK37(sK30,sK33)))
| ~ spl52_64 ),
inference(avatar_component_clause,[],[f1065]) ).
fof(f1384,plain,
( spl52_106
| ~ spl52_18
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f1307,f759,f675,f1381]) ).
fof(f1307,plain,
( frontsegP(sK30,sK30)
| ~ spl52_18
| ~ spl52_29 ),
inference(backward_demodulation,[],[f677,f761]) ).
fof(f1379,plain,
( spl52_105
| ~ spl52_29
| ~ spl52_69 ),
inference(avatar_split_clause,[],[f1327,f1107,f759,f1376]) ).
fof(f1376,plain,
( spl52_105
<=> sK37(sK29,sK30) = app(nil,sK37(sK37(sK29,sK30),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).
fof(f1107,plain,
( spl52_69
<=> app(nil,sK37(sK37(sK29,sK33),nil)) = sK37(sK29,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f1327,plain,
( sK37(sK29,sK30) = app(nil,sK37(sK37(sK29,sK30),nil))
| ~ spl52_29
| ~ spl52_69 ),
inference(backward_demodulation,[],[f1109,f761]) ).
fof(f1109,plain,
( app(nil,sK37(sK37(sK29,sK33),nil)) = sK37(sK29,sK33)
| ~ spl52_69 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1374,plain,
( spl52_104
| ~ spl52_9
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f1305,f759,f627,f1371]) ).
fof(f1305,plain,
( frontsegP(sK29,sK30)
| ~ spl52_9
| ~ spl52_29 ),
inference(backward_demodulation,[],[f629,f761]) ).
fof(f1369,plain,
( spl52_103
| ~ spl52_29
| ~ spl52_50 ),
inference(avatar_split_clause,[],[f1318,f929,f759,f1366]) ).
fof(f1366,plain,
( spl52_103
<=> sK37(sK29,sK30) = app(nil,sK37(sK29,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f929,plain,
( spl52_50
<=> app(nil,sK37(sK29,sK33)) = sK37(sK29,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f1318,plain,
( sK37(sK29,sK30) = app(nil,sK37(sK29,sK30))
| ~ spl52_29
| ~ spl52_50 ),
inference(backward_demodulation,[],[f931,f761]) ).
fof(f931,plain,
( app(nil,sK37(sK29,sK33)) = sK37(sK29,sK33)
| ~ spl52_50 ),
inference(avatar_component_clause,[],[f929]) ).
fof(f1364,plain,
( spl52_102
| ~ spl52_29
| ~ spl52_63 ),
inference(avatar_split_clause,[],[f1324,f1060,f759,f1361]) ).
fof(f1361,plain,
( spl52_102
<=> sK37(sK29,sK30) = app(sK37(sK29,sK30),sK37(sK37(sK29,sK30),sK37(sK29,sK30))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f1060,plain,
( spl52_63
<=> sK37(sK29,sK33) = app(sK37(sK29,sK33),sK37(sK37(sK29,sK33),sK37(sK29,sK33))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f1324,plain,
( sK37(sK29,sK30) = app(sK37(sK29,sK30),sK37(sK37(sK29,sK30),sK37(sK29,sK30)))
| ~ spl52_29
| ~ spl52_63 ),
inference(backward_demodulation,[],[f1062,f761]) ).
fof(f1062,plain,
( sK37(sK29,sK33) = app(sK37(sK29,sK33),sK37(sK37(sK29,sK33),sK37(sK29,sK33)))
| ~ spl52_63 ),
inference(avatar_component_clause,[],[f1060]) ).
fof(f1359,plain,
( spl52_101
| ~ spl52_29
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f1311,f809,f759,f1356]) ).
fof(f1356,plain,
( spl52_101
<=> ssList(sK37(sK29,sK30)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f1311,plain,
( ssList(sK37(sK29,sK30))
| ~ spl52_29
| ~ spl52_35 ),
inference(backward_demodulation,[],[f810,f761]) ).
fof(f1354,plain,
( spl52_100
| ~ spl52_29
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f1314,f872,f759,f1351]) ).
fof(f1314,plain,
( ssList(sK37(sK30,sK30))
| ~ spl52_29
| ~ spl52_42 ),
inference(backward_demodulation,[],[f873,f761]) ).
fof(f1349,plain,
( spl52_99
| ~ spl52_29
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f1308,f780,f759,f1346]) ).
fof(f1346,plain,
( spl52_99
<=> app(sK30,sK37(sK29,sK30)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f780,plain,
( spl52_30
<=> app(sK33,sK37(sK29,sK33)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).
fof(f1308,plain,
( app(sK30,sK37(sK29,sK30)) = sK29
| ~ spl52_29
| ~ spl52_30 ),
inference(backward_demodulation,[],[f782,f761]) ).
fof(f782,plain,
( app(sK33,sK37(sK29,sK33)) = sK29
| ~ spl52_30 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f1344,plain,
( spl52_98
| ~ spl52_29
| ~ spl52_55 ),
inference(avatar_split_clause,[],[f1321,f963,f759,f1341]) ).
fof(f963,plain,
( spl52_55
<=> sK37(sK30,sK33) = app(nil,sK37(sK30,sK33)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f1321,plain,
( sK37(sK30,sK30) = app(nil,sK37(sK30,sK30))
| ~ spl52_29
| ~ spl52_55 ),
inference(backward_demodulation,[],[f965,f761]) ).
fof(f965,plain,
( sK37(sK30,sK33) = app(nil,sK37(sK30,sK33))
| ~ spl52_55 ),
inference(avatar_component_clause,[],[f963]) ).
fof(f1339,plain,
( spl52_97
| ~ spl52_29
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f1326,f1102,f759,f1336]) ).
fof(f1102,plain,
( spl52_68
<=> app(nil,sK37(sK37(sK30,sK33),nil)) = sK37(sK30,sK33) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f1326,plain,
( sK37(sK30,sK30) = app(nil,sK37(sK37(sK30,sK30),nil))
| ~ spl52_29
| ~ spl52_68 ),
inference(backward_demodulation,[],[f1104,f761]) ).
fof(f1104,plain,
( app(nil,sK37(sK37(sK30,sK33),nil)) = sK37(sK30,sK33)
| ~ spl52_68 ),
inference(avatar_component_clause,[],[f1102]) ).
fof(f1333,plain,
( spl52_96
| ~ spl52_29
| ~ spl52_49 ),
inference(avatar_split_clause,[],[f1317,f916,f759,f1330]) ).
fof(f1330,plain,
( spl52_96
<=> sK37(sK29,sK30) = app(sK37(sK29,sK30),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).
fof(f916,plain,
( spl52_49
<=> sK37(sK29,sK33) = app(sK37(sK29,sK33),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f1317,plain,
( sK37(sK29,sK30) = app(sK37(sK29,sK30),nil)
| ~ spl52_29
| ~ spl52_49 ),
inference(backward_demodulation,[],[f918,f761]) ).
fof(f918,plain,
( sK37(sK29,sK33) = app(sK37(sK29,sK33),nil)
| ~ spl52_49 ),
inference(avatar_component_clause,[],[f916]) ).
fof(f1303,plain,
( spl52_8
| spl52_95
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1258,f637,f1300,f623]) ).
fof(f1258,plain,
( cons(sK35(sK29),sK34(sK29)) = sK29
| nil = sK29
| ~ spl52_11 ),
inference(resolution,[],[f440,f639]) ).
fof(f1298,plain,
( spl52_93
| spl52_94
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f1264,f872,f1295,f1291]) ).
fof(f1264,plain,
( nil = sK37(sK30,sK33)
| sK37(sK30,sK33) = cons(sK35(sK37(sK30,sK33)),sK34(sK37(sK30,sK33)))
| ~ spl52_42 ),
inference(resolution,[],[f440,f873]) ).
fof(f1289,plain,
( spl52_91
| spl52_92
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1260,f663,f1286,f1282]) ).
fof(f1260,plain,
( nil = sK33
| sK33 = cons(sK35(sK33),sK34(sK33))
| ~ spl52_16 ),
inference(resolution,[],[f440,f665]) ).
fof(f1280,plain,
( spl52_7
| spl52_90
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f1259,f632,f1277,f618]) ).
fof(f1259,plain,
( cons(sK35(sK30),sK34(sK30)) = sK30
| nil = sK30
| ~ spl52_10 ),
inference(resolution,[],[f440,f634]) ).
fof(f1275,plain,
( spl52_88
| spl52_89
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f1263,f809,f1272,f1268]) ).
fof(f1263,plain,
( nil = sK37(sK29,sK33)
| sK37(sK29,sK33) = cons(sK35(sK37(sK29,sK33)),sK34(sK37(sK29,sK33)))
| ~ spl52_35 ),
inference(resolution,[],[f440,f810]) ).
fof(f1247,plain,
( spl52_87
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f1224,f1186,f1244]) ).
fof(f1244,plain,
( spl52_87
<=> app(sK37(sK29,nil),sK37(sK37(sK29,nil),sK37(sK29,nil))) = sK37(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f1186,plain,
( spl52_77
<=> ssList(sK37(sK29,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f1224,plain,
( app(sK37(sK29,nil),sK37(sK37(sK29,nil),sK37(sK29,nil))) = sK37(sK29,nil)
| ~ spl52_77 ),
inference(resolution,[],[f1187,f776]) ).
fof(f1187,plain,
( ssList(sK37(sK29,nil))
| ~ spl52_77 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1242,plain,
( spl52_86
| ~ spl52_67
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f1237,f1186,f1097,f1239]) ).
fof(f1239,plain,
( spl52_86
<=> sK37(sK29,nil) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f1097,plain,
( spl52_67
<=> app(nil,sK37(sK29,nil)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f1237,plain,
( sK37(sK29,nil) = sK29
| ~ spl52_67
| ~ spl52_77 ),
inference(forward_demodulation,[],[f1225,f1099]) ).
fof(f1099,plain,
( app(nil,sK37(sK29,nil)) = sK29
| ~ spl52_67 ),
inference(avatar_component_clause,[],[f1097]) ).
fof(f1225,plain,
( app(nil,sK37(sK29,nil)) = sK37(sK29,nil)
| ~ spl52_77 ),
inference(resolution,[],[f1187,f408]) ).
fof(f1236,plain,
( spl52_85
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f1226,f1186,f1233]) ).
fof(f1233,plain,
( spl52_85
<=> app(sK37(sK29,nil),nil) = sK37(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f1226,plain,
( app(sK37(sK29,nil),nil) = sK37(sK29,nil)
| ~ spl52_77 ),
inference(resolution,[],[f1187,f367]) ).
fof(f1231,plain,
( spl52_84
| ~ spl52_31
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f1223,f1186,f785,f1228]) ).
fof(f1228,plain,
( spl52_84
<=> app(nil,sK37(sK37(sK29,nil),nil)) = sK37(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f1223,plain,
( app(nil,sK37(sK37(sK29,nil),nil)) = sK37(sK29,nil)
| ~ spl52_31
| ~ spl52_77 ),
inference(resolution,[],[f1187,f786]) ).
fof(f1222,plain,
( ~ spl52_3
| ~ spl52_59
| ~ spl52_11
| spl52_77 ),
inference(avatar_split_clause,[],[f1221,f1186,f637,f1025,f598]) ).
fof(f1025,plain,
( spl52_59
<=> frontsegP(sK29,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f1221,plain,
( ~ ssList(sK29)
| ~ frontsegP(sK29,nil)
| ~ ssList(nil)
| spl52_77 ),
inference(resolution,[],[f1188,f453]) ).
fof(f1188,plain,
( ~ ssList(sK37(sK29,nil))
| spl52_77 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1220,plain,
( ~ spl52_79
| ~ spl52_81
| ~ spl52_3
| spl52_83
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1196,f839,f1217,f598,f1205,f1198]) ).
fof(f1198,plain,
( spl52_79
<=> ssList(app(sK49(nil,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f1217,plain,
( spl52_83
<=> frontsegP(nil,app(sK49(nil,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f839,plain,
( spl52_38
<=> nil = app(app(sK49(nil,nil),nil),sK50(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f1196,plain,
( frontsegP(nil,app(sK49(nil,nil),nil))
| ~ ssList(nil)
| ~ ssList(sK50(nil,nil))
| ~ ssList(app(sK49(nil,nil),nil))
| ~ spl52_38 ),
inference(superposition,[],[f564,f841]) ).
fof(f841,plain,
( nil = app(app(sK49(nil,nil),nil),sK50(nil,nil))
| ~ spl52_38 ),
inference(avatar_component_clause,[],[f839]) ).
fof(f1215,plain,
( ~ spl52_81
| ~ spl52_79
| spl52_82
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1211,f839,f1213,f1198,f1205]) ).
fof(f1213,plain,
( spl52_82
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(X0,app(sK49(nil,nil),nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f1211,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(sK49(nil,nil),nil))
| segmentP(X0,app(sK49(nil,nil),nil))
| ~ ssList(sK50(nil,nil)) )
| ~ spl52_38 ),
inference(forward_subsumption_demodulation,[],[f1210,f367]) ).
fof(f1210,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sK50(nil,nil))
| segmentP(app(X0,nil),app(sK49(nil,nil),nil))
| ~ ssList(app(sK49(nil,nil),nil)) )
| ~ spl52_38 ),
inference(duplicate_literal_removal,[],[f1209]) ).
fof(f1209,plain,
( ! [X0] :
( ~ ssList(app(sK49(nil,nil),nil))
| ~ ssList(sK50(nil,nil))
| ~ ssList(X0)
| ~ ssList(X0)
| segmentP(app(X0,nil),app(sK49(nil,nil),nil)) )
| ~ spl52_38 ),
inference(forward_subsumption_demodulation,[],[f1194,f367]) ).
fof(f1194,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(X0,nil))
| segmentP(app(X0,nil),app(sK49(nil,nil),nil))
| ~ ssList(app(sK49(nil,nil),nil))
| ~ ssList(sK50(nil,nil)) )
| ~ spl52_38 ),
inference(superposition,[],[f708,f841]) ).
fof(f1208,plain,
( ~ spl52_79
| spl52_80
| ~ spl52_81
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1195,f839,f1205,f1202,f1198]) ).
fof(f1202,plain,
( spl52_80
<=> ! [X1] :
( ~ ssList(X1)
| ~ frontsegP(app(sK49(nil,nil),nil),X1)
| frontsegP(nil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f1195,plain,
( ! [X1] :
( ~ ssList(sK50(nil,nil))
| ~ ssList(X1)
| frontsegP(nil,X1)
| ~ frontsegP(app(sK49(nil,nil),nil),X1)
| ~ ssList(app(sK49(nil,nil),nil)) )
| ~ spl52_38 ),
inference(superposition,[],[f439,f841]) ).
fof(f1192,plain,
( ~ spl52_77
| spl52_78
| ~ spl52_3
| ~ spl52_67 ),
inference(avatar_split_clause,[],[f1183,f1097,f598,f1190,f1186]) ).
fof(f1190,plain,
( spl52_78
<=> ! [X1] :
( ~ ssList(X1)
| frontsegP(sK29,X1)
| ~ frontsegP(nil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f1183,plain,
( ! [X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(sK37(sK29,nil))
| ~ frontsegP(nil,X1)
| frontsegP(sK29,X1) )
| ~ spl52_67 ),
inference(superposition,[],[f439,f1099]) ).
fof(f1169,plain,
( spl52_76
| ~ spl52_31
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f1145,f1136,f785,f1166]) ).
fof(f1166,plain,
( spl52_76
<=> app(nil,sK37(sK37(sK30,nil),nil)) = sK37(sK30,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f1136,plain,
( spl52_71
<=> ssList(sK37(sK30,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f1145,plain,
( app(nil,sK37(sK37(sK30,nil),nil)) = sK37(sK30,nil)
| ~ spl52_31
| ~ spl52_71 ),
inference(resolution,[],[f1137,f786]) ).
fof(f1137,plain,
( ssList(sK37(sK30,nil))
| ~ spl52_71 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1164,plain,
( spl52_75
| ~ spl52_66
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f1159,f1136,f1092,f1161]) ).
fof(f1161,plain,
( spl52_75
<=> sK37(sK30,nil) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f1092,plain,
( spl52_66
<=> app(nil,sK37(sK30,nil)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f1159,plain,
( sK37(sK30,nil) = sK30
| ~ spl52_66
| ~ spl52_71 ),
inference(forward_demodulation,[],[f1147,f1094]) ).
fof(f1094,plain,
( app(nil,sK37(sK30,nil)) = sK30
| ~ spl52_66 ),
inference(avatar_component_clause,[],[f1092]) ).
fof(f1147,plain,
( sK37(sK30,nil) = app(nil,sK37(sK30,nil))
| ~ spl52_71 ),
inference(resolution,[],[f1137,f408]) ).
fof(f1158,plain,
( spl52_74
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f1146,f1136,f1155]) ).
fof(f1155,plain,
( spl52_74
<=> sK37(sK30,nil) = app(sK37(sK30,nil),sK37(sK37(sK30,nil),sK37(sK30,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f1146,plain,
( sK37(sK30,nil) = app(sK37(sK30,nil),sK37(sK37(sK30,nil),sK37(sK30,nil)))
| ~ spl52_71 ),
inference(resolution,[],[f1137,f776]) ).
fof(f1153,plain,
( spl52_73
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f1148,f1136,f1150]) ).
fof(f1150,plain,
( spl52_73
<=> sK37(sK30,nil) = app(sK37(sK30,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f1148,plain,
( sK37(sK30,nil) = app(sK37(sK30,nil),nil)
| ~ spl52_71 ),
inference(resolution,[],[f1137,f367]) ).
fof(f1144,plain,
( ~ spl52_10
| ~ spl52_3
| ~ spl52_44
| spl52_71 ),
inference(avatar_split_clause,[],[f1143,f1136,f883,f598,f632]) ).
fof(f883,plain,
( spl52_44
<=> frontsegP(sK30,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f1143,plain,
( ~ frontsegP(sK30,nil)
| ~ ssList(nil)
| ~ ssList(sK30)
| spl52_71 ),
inference(resolution,[],[f1138,f453]) ).
fof(f1138,plain,
( ~ ssList(sK37(sK30,nil))
| spl52_71 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1142,plain,
( ~ spl52_71
| ~ spl52_3
| spl52_72
| ~ spl52_66 ),
inference(avatar_split_clause,[],[f1133,f1092,f1140,f598,f1136]) ).
fof(f1140,plain,
( spl52_72
<=> ! [X1] :
( frontsegP(sK30,X1)
| ~ ssList(X1)
| ~ frontsegP(nil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f1133,plain,
( ! [X1] :
( frontsegP(sK30,X1)
| ~ ssList(nil)
| ~ ssList(sK37(sK30,nil))
| ~ frontsegP(nil,X1)
| ~ ssList(X1) )
| ~ spl52_66 ),
inference(superposition,[],[f439,f1094]) ).
fof(f1115,plain,
( spl52_70
| ~ spl52_16
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1084,f785,f663,f1112]) ).
fof(f1084,plain,
( app(nil,sK37(sK33,nil)) = sK33
| ~ spl52_16
| ~ spl52_31 ),
inference(resolution,[],[f786,f665]) ).
fof(f1110,plain,
( spl52_69
| ~ spl52_31
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f1087,f809,f785,f1107]) ).
fof(f1087,plain,
( app(nil,sK37(sK37(sK29,sK33),nil)) = sK37(sK29,sK33)
| ~ spl52_31
| ~ spl52_35 ),
inference(resolution,[],[f786,f810]) ).
fof(f1105,plain,
( spl52_68
| ~ spl52_31
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f1088,f872,f785,f1102]) ).
fof(f1088,plain,
( app(nil,sK37(sK37(sK30,sK33),nil)) = sK37(sK30,sK33)
| ~ spl52_31
| ~ spl52_42 ),
inference(resolution,[],[f786,f873]) ).
fof(f1100,plain,
( spl52_67
| ~ spl52_11
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1082,f785,f637,f1097]) ).
fof(f1082,plain,
( app(nil,sK37(sK29,nil)) = sK29
| ~ spl52_11
| ~ spl52_31 ),
inference(resolution,[],[f786,f639]) ).
fof(f1095,plain,
( spl52_66
| ~ spl52_10
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1083,f785,f632,f1092]) ).
fof(f1083,plain,
( app(nil,sK37(sK30,nil)) = sK30
| ~ spl52_10
| ~ spl52_31 ),
inference(resolution,[],[f786,f634]) ).
fof(f1073,plain,
( spl52_65
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f1036,f632,f1070]) ).
fof(f1070,plain,
( spl52_65
<=> app(sK30,sK37(sK30,sK30)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f1036,plain,
( app(sK30,sK37(sK30,sK30)) = sK30
| ~ spl52_10 ),
inference(resolution,[],[f776,f634]) ).
fof(f1068,plain,
( spl52_64
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f1041,f872,f1065]) ).
fof(f1041,plain,
( sK37(sK30,sK33) = app(sK37(sK30,sK33),sK37(sK37(sK30,sK33),sK37(sK30,sK33)))
| ~ spl52_42 ),
inference(resolution,[],[f776,f873]) ).
fof(f1063,plain,
( spl52_63
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f1040,f809,f1060]) ).
fof(f1040,plain,
( sK37(sK29,sK33) = app(sK37(sK29,sK33),sK37(sK37(sK29,sK33),sK37(sK29,sK33)))
| ~ spl52_35 ),
inference(resolution,[],[f776,f810]) ).
fof(f1058,plain,
( spl52_62
| ~ spl52_3 ),
inference(avatar_split_clause,[],[f1034,f598,f1055]) ).
fof(f1034,plain,
( nil = app(nil,sK37(nil,nil))
| ~ spl52_3 ),
inference(resolution,[],[f776,f599]) ).
fof(f599,plain,
( ssList(nil)
| ~ spl52_3 ),
inference(avatar_component_clause,[],[f598]) ).
fof(f1053,plain,
( spl52_61
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1035,f637,f1050]) ).
fof(f1050,plain,
( spl52_61
<=> app(sK29,sK37(sK29,sK29)) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f1035,plain,
( app(sK29,sK37(sK29,sK29)) = sK29
| ~ spl52_11 ),
inference(resolution,[],[f776,f639]) ).
fof(f1048,plain,
( spl52_60
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1037,f663,f1045]) ).
fof(f1037,plain,
( app(sK33,sK37(sK33,sK33)) = sK33
| ~ spl52_16 ),
inference(resolution,[],[f776,f665]) ).
fof(f1028,plain,
( ~ spl52_16
| spl52_59
| ~ spl52_3
| ~ spl52_34 ),
inference(avatar_split_clause,[],[f1022,f806,f598,f1025,f663]) ).
fof(f806,plain,
( spl52_34
<=> ! [X0] :
( ~ ssList(X0)
| ~ frontsegP(sK33,X0)
| frontsegP(sK29,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f1022,plain,
( ~ ssList(nil)
| frontsegP(sK29,nil)
| ~ ssList(sK33)
| ~ spl52_34 ),
inference(resolution,[],[f807,f461]) ).
fof(f807,plain,
( ! [X0] :
( ~ frontsegP(sK33,X0)
| ~ ssList(X0)
| frontsegP(sK29,X0) )
| ~ spl52_34 ),
inference(avatar_component_clause,[],[f806]) ).
fof(f1005,plain,
( ~ spl52_11
| ~ spl52_3
| spl52_58
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f998,f906,f1003,f598,f637]) ).
fof(f1003,plain,
( spl52_58
<=> ! [X0] :
( segmentP(app(X0,sK29),sK29)
| ~ ssList(X0)
| ~ ssList(app(X0,sK29)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f906,plain,
( spl52_47
<=> app(sK29,nil) = sK29 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f998,plain,
( ! [X0] :
( segmentP(app(X0,sK29),sK29)
| ~ ssList(nil)
| ~ ssList(app(X0,sK29))
| ~ ssList(X0)
| ~ ssList(sK29) )
| ~ spl52_47 ),
inference(superposition,[],[f708,f908]) ).
fof(f908,plain,
( app(sK29,nil) = sK29
| ~ spl52_47 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f994,plain,
( ~ spl52_3
| ~ spl52_10
| spl52_57
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f987,f901,f992,f632,f598]) ).
fof(f992,plain,
( spl52_57
<=> ! [X0] :
( ~ ssList(X0)
| ~ ssList(app(X0,sK30))
| segmentP(app(X0,sK30),sK30) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f901,plain,
( spl52_46
<=> app(sK30,nil) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f987,plain,
( ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK30),sK30)
| ~ ssList(sK30)
| ~ ssList(nil)
| ~ ssList(app(X0,sK30)) )
| ~ spl52_46 ),
inference(superposition,[],[f708,f903]) ).
fof(f903,plain,
( app(sK30,nil) = sK30
| ~ spl52_46 ),
inference(avatar_component_clause,[],[f901]) ).
fof(f985,plain,
( ~ spl52_16
| ~ spl52_3
| spl52_56
| ~ spl52_45 ),
inference(avatar_split_clause,[],[f978,f896,f983,f598,f663]) ).
fof(f983,plain,
( spl52_56
<=> ! [X0] :
( ~ ssList(app(X0,sK33))
| segmentP(app(X0,sK33),sK33)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f978,plain,
( ! [X0] :
( ~ ssList(app(X0,sK33))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK33)
| segmentP(app(X0,sK33),sK33) )
| ~ spl52_45 ),
inference(superposition,[],[f708,f898]) ).
fof(f898,plain,
( sK33 = app(sK33,nil)
| ~ spl52_45 ),
inference(avatar_component_clause,[],[f896]) ).
fof(f966,plain,
( spl52_55
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f955,f872,f963]) ).
fof(f955,plain,
( sK37(sK30,sK33) = app(nil,sK37(sK30,sK33))
| ~ spl52_42 ),
inference(resolution,[],[f873,f408]) ).
fof(f961,plain,
( spl52_54
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f956,f872,f958]) ).
fof(f956,plain,
( app(sK37(sK30,sK33),nil) = sK37(sK30,sK33)
| ~ spl52_42 ),
inference(resolution,[],[f873,f367]) ).
fof(f954,plain,
( ~ spl52_10
| ~ spl52_16
| ~ spl52_18
| spl52_42 ),
inference(avatar_split_clause,[],[f953,f872,f675,f663,f632]) ).
fof(f953,plain,
( ~ frontsegP(sK30,sK33)
| ~ ssList(sK33)
| ~ ssList(sK30)
| spl52_42 ),
inference(resolution,[],[f874,f453]) ).
fof(f874,plain,
( ~ ssList(sK37(sK30,sK33))
| spl52_42 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f947,plain,
( spl52_53
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f922,f632,f944]) ).
fof(f922,plain,
( app(nil,sK30) = sK30
| ~ spl52_10 ),
inference(resolution,[],[f408,f634]) ).
fof(f942,plain,
( spl52_52
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f921,f637,f939]) ).
fof(f921,plain,
( app(nil,sK29) = sK29
| ~ spl52_11 ),
inference(resolution,[],[f408,f639]) ).
fof(f937,plain,
( spl52_51
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f923,f663,f934]) ).
fof(f923,plain,
( app(nil,sK33) = sK33
| ~ spl52_16 ),
inference(resolution,[],[f408,f665]) ).
fof(f932,plain,
( spl52_50
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f925,f809,f929]) ).
fof(f925,plain,
( app(nil,sK37(sK29,sK33)) = sK37(sK29,sK33)
| ~ spl52_35 ),
inference(resolution,[],[f408,f810]) ).
fof(f919,plain,
( spl52_49
| ~ spl52_35 ),
inference(avatar_split_clause,[],[f892,f809,f916]) ).
fof(f892,plain,
( sK37(sK29,sK33) = app(sK37(sK29,sK33),nil)
| ~ spl52_35 ),
inference(resolution,[],[f367,f810]) ).
fof(f914,plain,
( spl52_48
| ~ spl52_3 ),
inference(avatar_split_clause,[],[f887,f598,f911]) ).
fof(f887,plain,
( nil = app(nil,nil)
| ~ spl52_3 ),
inference(resolution,[],[f367,f599]) ).
fof(f909,plain,
( spl52_47
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f888,f637,f906]) ).
fof(f888,plain,
( app(sK29,nil) = sK29
| ~ spl52_11 ),
inference(resolution,[],[f367,f639]) ).
fof(f904,plain,
( spl52_46
| ~ spl52_10 ),
inference(avatar_split_clause,[],[f889,f632,f901]) ).
fof(f889,plain,
( app(sK30,nil) = sK30
| ~ spl52_10 ),
inference(resolution,[],[f367,f634]) ).
fof(f899,plain,
( spl52_45
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f890,f663,f896]) ).
fof(f890,plain,
( sK33 = app(sK33,nil)
| ~ spl52_16 ),
inference(resolution,[],[f367,f665]) ).
fof(f886,plain,
( spl52_44
| ~ spl52_16
| ~ spl52_3
| ~ spl52_36 ),
inference(avatar_split_clause,[],[f880,f822,f598,f663,f883]) ).
fof(f822,plain,
( spl52_36
<=> ! [X9] :
( frontsegP(sK30,X9)
| ~ ssList(X9)
| ~ frontsegP(sK33,X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f880,plain,
( ~ ssList(nil)
| ~ ssList(sK33)
| frontsegP(sK30,nil)
| ~ spl52_36 ),
inference(resolution,[],[f823,f461]) ).
fof(f823,plain,
( ! [X9] :
( ~ frontsegP(sK33,X9)
| ~ ssList(X9)
| frontsegP(sK30,X9) )
| ~ spl52_36 ),
inference(avatar_component_clause,[],[f822]) ).
fof(f878,plain,
( ~ spl52_16
| ~ spl52_42
| spl52_43
| ~ spl52_32 ),
inference(avatar_split_clause,[],[f868,f789,f876,f872,f663]) ).
fof(f789,plain,
( spl52_32
<=> app(sK33,sK37(sK30,sK33)) = sK30 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f868,plain,
( ! [X0] :
( segmentP(app(X0,sK30),sK33)
| ~ ssList(sK37(sK30,sK33))
| ~ ssList(sK33)
| ~ ssList(app(X0,sK30))
| ~ ssList(X0) )
| ~ spl52_32 ),
inference(superposition,[],[f708,f791]) ).
fof(f791,plain,
( app(sK33,sK37(sK30,sK33)) = sK30
| ~ spl52_32 ),
inference(avatar_component_clause,[],[f789]) ).
fof(f867,plain,
( ~ spl52_16
| ~ spl52_35
| spl52_41
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f863,f780,f865,f809,f663]) ).
fof(f863,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(sK37(sK29,sK33))
| ~ ssList(sK33)
| ~ ssList(app(X0,sK29))
| segmentP(app(X0,sK29),sK33) )
| ~ spl52_30 ),
inference(superposition,[],[f708,f782]) ).
fof(f862,plain,
( ~ spl52_11
| ~ spl52_9
| ~ spl52_16
| spl52_35 ),
inference(avatar_split_clause,[],[f861,f809,f663,f627,f637]) ).
fof(f861,plain,
( ~ ssList(sK33)
| ~ frontsegP(sK29,sK33)
| ~ ssList(sK29)
| spl52_35 ),
inference(resolution,[],[f811,f453]) ).
fof(f811,plain,
( ~ ssList(sK37(sK29,sK33))
| spl52_35 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f860,plain,
( ~ spl52_3
| spl52_40 ),
inference(avatar_split_clause,[],[f855,f858,f598]) ).
fof(f858,plain,
( spl52_40
<=> ! [X4,X2,X3] :
( ~ ssList(X4)
| ~ ssList(X2)
| segmentP(app(X2,app(X3,X4)),nil)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f855,plain,
! [X2,X3,X4] :
( ~ ssList(X4)
| ~ ssList(X3)
| segmentP(app(X2,app(X3,X4)),nil)
| ~ ssList(X2)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f852]) ).
fof(f852,plain,
! [X2,X3,X4] :
( ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X4)
| ~ ssList(nil)
| ~ ssList(X3)
| segmentP(app(X2,app(X3,X4)),nil) ),
inference(resolution,[],[f672,f340]) ).
fof(f340,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f846,plain,
( ~ spl52_3
| spl52_39 ),
inference(avatar_split_clause,[],[f836,f844,f598]) ).
fof(f836,plain,
! [X0] :
( app(app(sK49(X0,nil),nil),sK50(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f833]) ).
fof(f833,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK49(X0,nil),nil),sK50(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(resolution,[],[f502,f340]) ).
fof(f842,plain,
( ~ spl52_3
| spl52_38
| ~ spl52_13 ),
inference(avatar_split_clause,[],[f837,f647,f839,f598]) ).
fof(f837,plain,
( nil = app(app(sK49(nil,nil),nil),sK50(nil,nil))
| ~ ssList(nil)
| ~ spl52_13 ),
inference(duplicate_literal_removal,[],[f832]) ).
fof(f832,plain,
( ~ ssList(nil)
| nil = app(app(sK49(nil,nil),nil),sK50(nil,nil))
| ~ ssList(nil)
| ~ spl52_13 ),
inference(resolution,[],[f502,f649]) ).
fof(f649,plain,
( segmentP(nil,nil)
| ~ spl52_13 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f829,plain,
( spl52_37
| ~ spl52_3 ),
inference(avatar_split_clause,[],[f819,f598,f827]) ).
fof(f827,plain,
( spl52_37
<=> ! [X6,X7] :
( frontsegP(X7,X6)
| ~ ssList(X7)
| ~ ssList(X6)
| ~ frontsegP(nil,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f819,plain,
! [X6,X7] :
( ~ ssList(nil)
| frontsegP(X7,X6)
| ~ frontsegP(nil,X6)
| ~ ssList(X6)
| ~ ssList(X7) ),
inference(duplicate_literal_removal,[],[f815]) ).
fof(f815,plain,
! [X6,X7] :
( ~ frontsegP(nil,X6)
| ~ ssList(X6)
| frontsegP(X7,X6)
| ~ ssList(X7)
| ~ ssList(X7)
| ~ ssList(nil) ),
inference(resolution,[],[f497,f461]) ).
fof(f825,plain,
( ~ spl52_11
| spl52_34
| ~ spl52_16
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f816,f627,f663,f806,f637]) ).
fof(f816,plain,
( ! [X8] :
( ~ ssList(sK33)
| ~ frontsegP(sK33,X8)
| frontsegP(sK29,X8)
| ~ ssList(sK29)
| ~ ssList(X8) )
| ~ spl52_9 ),
inference(resolution,[],[f497,f629]) ).
fof(f824,plain,
( ~ spl52_16
| ~ spl52_10
| spl52_36
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f817,f675,f822,f632,f663]) ).
fof(f817,plain,
( ! [X9] :
( frontsegP(sK30,X9)
| ~ frontsegP(sK33,X9)
| ~ ssList(X9)
| ~ ssList(sK30)
| ~ ssList(sK33) )
| ~ spl52_18 ),
inference(resolution,[],[f497,f677]) ).
fof(f812,plain,
( ~ spl52_16
| spl52_34
| ~ spl52_35
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f803,f780,f809,f806,f663]) ).
fof(f803,plain,
( ! [X0] :
( ~ ssList(sK37(sK29,sK33))
| ~ ssList(X0)
| frontsegP(sK29,X0)
| ~ frontsegP(sK33,X0)
| ~ ssList(sK33) )
| ~ spl52_30 ),
inference(superposition,[],[f439,f782]) ).
fof(f802,plain,
( ~ spl52_3
| spl52_33 ),
inference(avatar_split_clause,[],[f797,f800,f598]) ).
fof(f800,plain,
( spl52_33
<=> ! [X2,X1] :
( segmentP(X2,X1)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(nil,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f797,plain,
! [X2,X1] :
( segmentP(X2,X1)
| ~ segmentP(nil,X1)
| ~ ssList(X2)
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f794]) ).
fof(f794,plain,
! [X2,X1] :
( ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(nil,X1)
| segmentP(X2,X1) ),
inference(resolution,[],[f446,f340]) ).
fof(f792,plain,
( ~ spl52_10
| spl52_32
| ~ spl52_16
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f775,f675,f663,f789,f632]) ).
fof(f775,plain,
( ~ ssList(sK33)
| app(sK33,sK37(sK30,sK33)) = sK30
| ~ ssList(sK30)
| ~ spl52_18 ),
inference(resolution,[],[f452,f677]) ).
fof(f787,plain,
( ~ spl52_3
| spl52_31 ),
inference(avatar_split_clause,[],[f777,f785,f598]) ).
fof(f777,plain,
! [X4] :
( app(nil,sK37(X4,nil)) = X4
| ~ ssList(X4)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f773]) ).
fof(f773,plain,
! [X4] :
( ~ ssList(X4)
| ~ ssList(X4)
| app(nil,sK37(X4,nil)) = X4
| ~ ssList(nil) ),
inference(resolution,[],[f452,f461]) ).
fof(f783,plain,
( spl52_30
| ~ spl52_11
| ~ spl52_16
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f774,f627,f663,f637,f780]) ).
fof(f774,plain,
( ~ ssList(sK33)
| ~ ssList(sK29)
| app(sK33,sK37(sK29,sK33)) = sK29
| ~ spl52_9 ),
inference(resolution,[],[f452,f629]) ).
fof(f762,plain,
( ~ spl52_28
| ~ spl52_16
| ~ spl52_10
| spl52_29
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f740,f675,f759,f632,f663,f755]) ).
fof(f740,plain,
( sK33 = sK30
| ~ ssList(sK30)
| ~ ssList(sK33)
| ~ frontsegP(sK33,sK30)
| ~ spl52_18 ),
inference(resolution,[],[f392,f677]) ).
fof(f753,plain,
( ~ spl52_26
| ~ spl52_11
| spl52_27
| ~ spl52_16
| ~ spl52_9 ),
inference(avatar_split_clause,[],[f739,f627,f663,f750,f637,f746]) ).
fof(f739,plain,
( ~ ssList(sK33)
| sK33 = sK29
| ~ ssList(sK29)
| ~ frontsegP(sK33,sK29)
| ~ spl52_9 ),
inference(resolution,[],[f392,f629]) ).
fof(f723,plain,
( ~ spl52_10
| ~ spl52_22
| ~ spl52_25 ),
inference(avatar_split_clause,[],[f718,f720,f697,f632]) ).
fof(f697,plain,
( spl52_22
<=> neq(sK30,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f720,plain,
( spl52_25
<=> segmentP(sK29,sK30) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f718,plain,
( ~ segmentP(sK29,sK30)
| ~ neq(sK30,nil)
| ~ ssList(sK30) ),
inference(duplicate_literal_removal,[],[f717]) ).
fof(f717,plain,
( ~ ssList(sK30)
| ~ segmentP(sK29,sK30)
| ~ neq(sK30,nil)
| ~ ssList(sK30) ),
inference(resolution,[],[f530,f424]) ).
fof(f715,plain,
spl52_24,
inference(avatar_split_clause,[],[f370,f712]) ).
fof(f712,plain,
( spl52_24
<=> ssItem(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f370,plain,
ssItem(sK8),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
( ssItem(sK8)
& sK7 != sK8
& ssItem(sK7) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK7,sK8])],[f2,f240,f239]) ).
fof(f239,plain,
( ? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) )
=> ( ? [X1] :
( ssItem(X1)
& sK7 != X1 )
& ssItem(sK7) ) ),
introduced(choice_axiom,[]) ).
fof(f240,plain,
( ? [X1] :
( ssItem(X1)
& sK7 != X1 )
=> ( ssItem(sK8)
& sK7 != sK8 ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f710,plain,
spl52_15,
inference(avatar_split_clause,[],[f437,f659]) ).
fof(f659,plain,
( spl52_15
<=> ! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f437,plain,
! [X0] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,nil)) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f709,plain,
( spl52_16
| spl52_8 ),
inference(avatar_split_clause,[],[f548,f623,f663]) ).
fof(f548,plain,
( nil = sK29
| ssList(sK33) ),
inference(definition_unfolding,[],[f429,f422]) ).
fof(f422,plain,
sK31 = sK29,
inference(cnf_transformation,[],[f283]) ).
fof(f429,plain,
( ssList(sK33)
| nil = sK31 ),
inference(cnf_transformation,[],[f283]) ).
fof(f706,plain,
spl52_23,
inference(avatar_split_clause,[],[f353,f703]) ).
fof(f703,plain,
( spl52_23
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f353,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f701,plain,
( spl52_8
| spl52_18 ),
inference(avatar_split_clause,[],[f546,f675,f623]) ).
fof(f546,plain,
( frontsegP(sK30,sK33)
| nil = sK29 ),
inference(definition_unfolding,[],[f431,f421,f422]) ).
fof(f421,plain,
sK32 = sK30,
inference(cnf_transformation,[],[f283]) ).
fof(f431,plain,
( frontsegP(sK32,sK33)
| nil = sK31 ),
inference(cnf_transformation,[],[f283]) ).
fof(f700,plain,
spl52_22,
inference(avatar_split_clause,[],[f423,f697]) ).
fof(f423,plain,
neq(sK30,nil),
inference(cnf_transformation,[],[f283]) ).
fof(f695,plain,
( spl52_9
| spl52_7 ),
inference(avatar_split_clause,[],[f545,f618,f627]) ).
fof(f545,plain,
( nil = sK30
| frontsegP(sK29,sK33) ),
inference(definition_unfolding,[],[f432,f422,f421]) ).
fof(f432,plain,
( frontsegP(sK31,sK33)
| nil = sK32 ),
inference(cnf_transformation,[],[f283]) ).
fof(f693,plain,
spl52_21,
inference(avatar_split_clause,[],[f381,f690]) ).
fof(f690,plain,
( spl52_21
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f381,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f688,plain,
spl52_20,
inference(avatar_split_clause,[],[f527,f685]) ).
fof(f685,plain,
( spl52_20
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f527,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f683,plain,
spl52_19,
inference(avatar_split_clause,[],[f339,f680]) ).
fof(f680,plain,
( spl52_19
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f339,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f678,plain,
( spl52_7
| spl52_18 ),
inference(avatar_split_clause,[],[f547,f675,f618]) ).
fof(f547,plain,
( frontsegP(sK30,sK33)
| nil = sK30 ),
inference(definition_unfolding,[],[f430,f421,f421]) ).
fof(f430,plain,
( frontsegP(sK32,sK33)
| nil = sK32 ),
inference(cnf_transformation,[],[f283]) ).
fof(f673,plain,
( spl52_6
| spl52_8 ),
inference(avatar_split_clause,[],[f550,f623,f614]) ).
fof(f550,plain,
( nil = sK29
| neq(sK33,nil) ),
inference(definition_unfolding,[],[f427,f422]) ).
fof(f427,plain,
( neq(sK33,nil)
| nil = sK31 ),
inference(cnf_transformation,[],[f283]) ).
fof(f671,plain,
spl52_17,
inference(avatar_split_clause,[],[f352,f668]) ).
fof(f668,plain,
( spl52_17
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f352,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f666,plain,
( spl52_7
| spl52_16 ),
inference(avatar_split_clause,[],[f549,f663,f618]) ).
fof(f549,plain,
( ssList(sK33)
| nil = sK30 ),
inference(definition_unfolding,[],[f428,f421]) ).
fof(f428,plain,
( ssList(sK33)
| nil = sK32 ),
inference(cnf_transformation,[],[f283]) ).
fof(f661,plain,
( spl52_15
| ~ spl52_3 ),
inference(avatar_split_clause,[],[f574,f598,f659]) ).
fof(f574,plain,
! [X0] :
( ~ ssList(nil)
| strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(equality_resolution,[],[f513]) ).
fof(f513,plain,
! [X0,X1] :
( ~ ssItem(X0)
| strictorderedP(cons(X0,X1))
| nil != X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( ~ lt(X0,hd(X1))
| nil = X1
| ~ strictorderedP(X1) ) ) )
& ( nil = X1
| ( lt(X0,hd(X1))
& nil != X1
& strictorderedP(X1) )
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f327]) ).
fof(f327,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( ( strictorderedP(cons(X0,X1))
| ( nil != X1
& ( ~ lt(X0,hd(X1))
| nil = X1
| ~ strictorderedP(X1) ) ) )
& ( nil = X1
| ( lt(X0,hd(X1))
& nil != X1
& strictorderedP(X1) )
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( nil = X1
| ( lt(X0,hd(X1))
& nil != X1
& strictorderedP(X1) ) ) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( nil = X1
| ( lt(X0,hd(X1))
& nil != X1
& strictorderedP(X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f657,plain,
spl52_11,
inference(avatar_split_clause,[],[f553,f637]) ).
fof(f553,plain,
ssList(sK29),
inference(definition_unfolding,[],[f420,f422]) ).
fof(f420,plain,
ssList(sK31),
inference(cnf_transformation,[],[f283]) ).
fof(f656,plain,
spl52_14,
inference(avatar_split_clause,[],[f537,f653]) ).
fof(f653,plain,
( spl52_14
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f537,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f651,plain,
spl52_10,
inference(avatar_split_clause,[],[f434,f632]) ).
fof(f434,plain,
ssList(sK30),
inference(cnf_transformation,[],[f283]) ).
fof(f650,plain,
( ~ spl52_3
| spl52_13 ),
inference(avatar_split_clause,[],[f571,f647,f598]) ).
fof(f571,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f493]) ).
fof(f493,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f317]) ).
fof(f317,plain,
! [X0] :
( ( ( nil = X0
| ~ segmentP(nil,X0) )
& ( segmentP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f171]) ).
fof(f171,plain,
! [X0] :
( ( nil = X0
<=> segmentP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> segmentP(nil,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f645,plain,
~ spl52_12,
inference(avatar_split_clause,[],[f379,f642]) ).
fof(f642,plain,
( spl52_12
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f379,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f640,plain,
spl52_11,
inference(avatar_split_clause,[],[f435,f637]) ).
fof(f435,plain,
ssList(sK29),
inference(cnf_transformation,[],[f283]) ).
fof(f635,plain,
spl52_10,
inference(avatar_split_clause,[],[f552,f632]) ).
fof(f552,plain,
ssList(sK30),
inference(definition_unfolding,[],[f425,f421]) ).
fof(f425,plain,
ssList(sK32),
inference(cnf_transformation,[],[f283]) ).
fof(f630,plain,
( spl52_8
| spl52_9 ),
inference(avatar_split_clause,[],[f544,f627,f623]) ).
fof(f544,plain,
( frontsegP(sK29,sK33)
| nil = sK29 ),
inference(definition_unfolding,[],[f433,f422,f422]) ).
fof(f433,plain,
( frontsegP(sK31,sK33)
| nil = sK31 ),
inference(cnf_transformation,[],[f283]) ).
fof(f621,plain,
( spl52_6
| spl52_7 ),
inference(avatar_split_clause,[],[f551,f618,f614]) ).
fof(f551,plain,
( nil = sK30
| neq(sK33,nil) ),
inference(definition_unfolding,[],[f426,f421]) ).
fof(f426,plain,
( neq(sK33,nil)
| nil = sK32 ),
inference(cnf_transformation,[],[f283]) ).
fof(f612,plain,
~ spl52_5,
inference(avatar_split_clause,[],[f369,f609]) ).
fof(f609,plain,
( spl52_5
<=> sK7 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f369,plain,
sK7 != sK8,
inference(cnf_transformation,[],[f241]) ).
fof(f607,plain,
spl52_4,
inference(avatar_split_clause,[],[f368,f604]) ).
fof(f604,plain,
( spl52_4
<=> ssItem(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f368,plain,
ssItem(sK7),
inference(cnf_transformation,[],[f241]) ).
fof(f602,plain,
spl52_3,
inference(avatar_split_clause,[],[f341,f598]) ).
fof(f341,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f601,plain,
( spl52_2
| ~ spl52_3 ),
inference(avatar_split_clause,[],[f568,f598,f594]) ).
fof(f594,plain,
( spl52_2
<=> rearsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f568,plain,
( ~ ssList(nil)
| rearsegP(nil,nil) ),
inference(equality_resolution,[],[f472]) ).
fof(f472,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ( ( nil = X0
| ~ rearsegP(nil,X0) )
& ( rearsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( ( nil = X0
<=> rearsegP(nil,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
<=> rearsegP(nil,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f592,plain,
spl52_1,
inference(avatar_split_clause,[],[f540,f589]) ).
fof(f589,plain,
( spl52_1
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f540,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SWC081+1 : TPTP v8.1.0. Released v2.4.0.
% 0.11/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.32 % Computer : n014.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Tue Aug 30 18:10:33 EDT 2022
% 0.17/0.32 % CPUTime :
% 0.18/0.49 % (19201)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (19203)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.50 % (19202)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.18/0.50 % (19211)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.51 % (19221)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 0.18/0.51 % (19225)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.18/0.51 % (19198)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.51 % (19226)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 0.18/0.51 TRYING [1]
% 0.18/0.52 % (19210)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.52 % (19224)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 0.18/0.52 % (19206)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.52 % (19219)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.18/0.52 % (19217)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.18/0.52 % (19214)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.18/0.53 % (19212)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.18/0.53 % (19209)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.18/0.53 TRYING [2]
% 0.18/0.53 % (19215)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.53 % (19220)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 0.18/0.54 % (19223)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 0.18/0.54 % (19218)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 0.18/0.54 % (19199)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 0.18/0.54 % (19204)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.18/0.54 % (19197)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 0.18/0.54 % (19198)Refutation not found, incomplete strategy% (19198)------------------------------
% 0.18/0.54 % (19198)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.54 % (19198)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.54 % (19198)Termination reason: Refutation not found, incomplete strategy
% 0.18/0.54
% 0.18/0.54 % (19198)Memory used [KB]: 6012
% 0.18/0.54 % (19198)Time elapsed: 0.158 s
% 0.18/0.54 % (19198)Instructions burned: 21 (million)
% 0.18/0.54 % (19198)------------------------------
% 0.18/0.54 % (19198)------------------------------
% 0.18/0.54 % (19200)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.54 TRYING [3]
% 0.18/0.54 % (19222)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.18/0.55 % (19213)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 0.18/0.55 % (19216)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55 % (19204)Instruction limit reached!
% 0.18/0.55 % (19204)------------------------------
% 0.18/0.55 % (19204)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (19204)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (19204)Termination reason: Unknown
% 0.18/0.55 % (19204)Termination phase: Function definition elimination
% 0.18/0.55
% 0.18/0.55 % (19204)Memory used [KB]: 1279
% 0.18/0.55 % (19204)Time elapsed: 0.007 s
% 0.18/0.55 % (19204)Instructions burned: 8 (million)
% 0.18/0.55 % (19204)------------------------------
% 0.18/0.55 % (19204)------------------------------
% 0.18/0.55 % (19207)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.18/0.55 % (19208)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 0.18/0.55 % (19205)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.18/0.55 % (19205)Instruction limit reached!
% 0.18/0.55 % (19205)------------------------------
% 0.18/0.55 % (19205)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (19205)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (19205)Termination reason: Unknown
% 0.18/0.55 % (19205)Termination phase: shuffling
% 0.18/0.55
% 0.18/0.55 % (19205)Memory used [KB]: 1023
% 0.18/0.55 % (19205)Time elapsed: 0.002 s
% 0.18/0.55 % (19205)Instructions burned: 3 (million)
% 0.18/0.55 % (19205)------------------------------
% 0.18/0.55 % (19205)------------------------------
% 0.18/0.55 TRYING [3]
% 0.18/0.55 % (19203)Instruction limit reached!
% 0.18/0.55 % (19203)------------------------------
% 0.18/0.55 % (19203)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.55 % (19203)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.55 % (19203)Termination reason: Unknown
% 0.18/0.55 % (19203)Termination phase: Finite model building constraint generation
% 0.18/0.55
% 0.18/0.55 % (19203)Memory used [KB]: 7547
% 0.18/0.55 % (19203)Time elapsed: 0.147 s
% 0.18/0.55 % (19203)Instructions burned: 51 (million)
% 0.18/0.55 % (19203)------------------------------
% 0.18/0.55 % (19203)------------------------------
% 0.18/0.56 % (19202)Instruction limit reached!
% 0.18/0.56 % (19202)------------------------------
% 0.18/0.56 % (19202)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.56 % (19202)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.56 % (19202)Termination reason: Unknown
% 0.18/0.56 % (19202)Termination phase: Saturation
% 0.18/0.56
% 0.18/0.56 % (19202)Memory used [KB]: 6268
% 0.18/0.56 % (19202)Time elapsed: 0.161 s
% 0.18/0.56 % (19202)Instructions burned: 49 (million)
% 0.18/0.56 % (19202)------------------------------
% 0.18/0.56 % (19202)------------------------------
% 0.18/0.56 TRYING [1]
% 0.18/0.56 TRYING [2]
% 0.18/0.57 TRYING [1]
% 1.86/0.59 TRYING [2]
% 1.86/0.59 TRYING [3]
% 1.86/0.59 % (19201)Instruction limit reached!
% 1.86/0.59 % (19201)------------------------------
% 1.86/0.59 % (19201)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (19201)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (19201)Termination reason: Unknown
% 1.86/0.59 % (19201)Termination phase: Saturation
% 1.86/0.59
% 1.86/0.59 % (19201)Memory used [KB]: 6524
% 1.86/0.59 % (19201)Time elapsed: 0.195 s
% 1.86/0.59 % (19201)Instructions burned: 51 (million)
% 1.86/0.59 % (19201)------------------------------
% 1.86/0.59 % (19201)------------------------------
% 1.86/0.59 % (19214)Instruction limit reached!
% 1.86/0.59 % (19214)------------------------------
% 1.86/0.59 % (19214)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.59 % (19214)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.59 % (19214)Termination reason: Unknown
% 1.86/0.59 % (19214)Termination phase: Finite model building constraint generation
% 1.86/0.59
% 1.86/0.59 % (19214)Memory used [KB]: 7931
% 1.86/0.59 % (19214)Time elapsed: 0.219 s
% 1.86/0.59 % (19214)Instructions burned: 63 (million)
% 1.86/0.59 % (19214)------------------------------
% 1.86/0.59 % (19214)------------------------------
% 1.86/0.59 TRYING [3]
% 1.86/0.60 % (19199)Instruction limit reached!
% 1.86/0.60 % (19199)------------------------------
% 1.86/0.60 % (19199)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (19199)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (19199)Termination reason: Unknown
% 1.86/0.60 % (19199)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (19199)Memory used [KB]: 1663
% 1.86/0.60 % (19199)Time elapsed: 0.211 s
% 1.86/0.60 % (19199)Instructions burned: 37 (million)
% 1.86/0.60 % (19199)------------------------------
% 1.86/0.60 % (19199)------------------------------
% 1.86/0.60 % (19206)Instruction limit reached!
% 1.86/0.60 % (19206)------------------------------
% 1.86/0.60 % (19206)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.86/0.60 % (19206)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.86/0.60 % (19206)Termination reason: Unknown
% 1.86/0.60 % (19206)Termination phase: Saturation
% 1.86/0.60
% 1.86/0.60 % (19206)Memory used [KB]: 2174
% 1.86/0.60 % (19206)Time elapsed: 0.210 s
% 1.86/0.60 % (19206)Instructions burned: 52 (million)
% 1.86/0.60 % (19206)------------------------------
% 1.86/0.60 % (19206)------------------------------
% 2.08/0.61 % (19211)Instruction limit reached!
% 2.08/0.61 % (19211)------------------------------
% 2.08/0.61 % (19211)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.08/0.61 % (19211)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.08/0.61 % (19211)Termination reason: Unknown
% 2.08/0.61 % (19211)Termination phase: Saturation
% 2.08/0.61
% 2.08/0.61 % (19211)Memory used [KB]: 7036
% 2.08/0.61 % (19211)Time elapsed: 0.054 s
% 2.08/0.61 % (19211)Instructions burned: 68 (million)
% 2.08/0.61 % (19211)------------------------------
% 2.08/0.61 % (19211)------------------------------
% 2.31/0.63 % (19200)Instruction limit reached!
% 2.31/0.63 % (19200)------------------------------
% 2.31/0.63 % (19200)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.63 % (19200)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.63 % (19200)Termination reason: Unknown
% 2.31/0.63 % (19200)Termination phase: Saturation
% 2.31/0.63
% 2.31/0.63 % (19200)Memory used [KB]: 6652
% 2.31/0.63 % (19200)Time elapsed: 0.243 s
% 2.31/0.63 % (19200)Instructions burned: 51 (million)
% 2.31/0.63 % (19200)------------------------------
% 2.31/0.63 % (19200)------------------------------
% 2.31/0.64 % (19207)Instruction limit reached!
% 2.31/0.64 % (19207)------------------------------
% 2.31/0.64 % (19207)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.64 % (19207)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.64 % (19207)Termination reason: Unknown
% 2.31/0.64 % (19207)Termination phase: Saturation
% 2.31/0.64
% 2.31/0.64 % (19207)Memory used [KB]: 6780
% 2.31/0.64 % (19207)Time elapsed: 0.265 s
% 2.31/0.64 % (19207)Instructions burned: 51 (million)
% 2.31/0.64 % (19207)------------------------------
% 2.31/0.64 % (19207)------------------------------
% 2.31/0.65 % (19212)Instruction limit reached!
% 2.31/0.65 % (19212)------------------------------
% 2.31/0.65 % (19212)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.65 % (19212)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.65 % (19212)Termination reason: Unknown
% 2.31/0.65 % (19212)Termination phase: Saturation
% 2.31/0.65
% 2.31/0.65 % (19212)Memory used [KB]: 2430
% 2.31/0.65 % (19212)Time elapsed: 0.225 s
% 2.31/0.65 % (19212)Instructions burned: 75 (million)
% 2.31/0.65 % (19212)------------------------------
% 2.31/0.65 % (19212)------------------------------
% 2.31/0.66 % (19294)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.31/0.66 % (19281)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/388Mi)
% 2.31/0.67 % (19223)Instruction limit reached!
% 2.31/0.67 % (19223)------------------------------
% 2.31/0.67 % (19223)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.67 % (19223)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.67 % (19223)Termination reason: Unknown
% 2.31/0.67 % (19223)Termination phase: Saturation
% 2.31/0.67
% 2.31/0.67 % (19223)Memory used [KB]: 7036
% 2.31/0.67 % (19223)Time elapsed: 0.040 s
% 2.31/0.67 % (19223)Instructions burned: 69 (million)
% 2.31/0.67 % (19223)------------------------------
% 2.31/0.67 % (19223)------------------------------
% 2.31/0.68 % (19210)Instruction limit reached!
% 2.31/0.68 % (19210)------------------------------
% 2.31/0.68 % (19210)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.68 % (19210)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.68 % (19210)Termination reason: Unknown
% 2.31/0.68 % (19210)Termination phase: Saturation
% 2.31/0.68
% 2.31/0.68 % (19210)Memory used [KB]: 7291
% 2.31/0.68 % (19210)Time elapsed: 0.290 s
% 2.31/0.68 % (19210)Instructions burned: 99 (million)
% 2.31/0.68 % (19210)------------------------------
% 2.31/0.68 % (19210)------------------------------
% 2.31/0.69 % (19209)Instruction limit reached!
% 2.31/0.69 % (19209)------------------------------
% 2.31/0.69 % (19209)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.69 % (19209)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.69 % (19209)Termination reason: Unknown
% 2.31/0.69 % (19209)Termination phase: Saturation
% 2.31/0.69
% 2.31/0.69 % (19209)Memory used [KB]: 7419
% 2.31/0.69 % (19209)Time elapsed: 0.303 s
% 2.31/0.69 % (19209)Instructions burned: 101 (million)
% 2.31/0.69 % (19209)------------------------------
% 2.31/0.69 % (19209)------------------------------
% 2.31/0.69 % (19287)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/211Mi)
% 2.31/0.69 % (19292)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.31/0.71 % (19298)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.31/0.71 % (19312)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=655:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/655Mi)
% 2.31/0.71 % (19213)Instruction limit reached!
% 2.31/0.71 % (19213)------------------------------
% 2.31/0.71 % (19213)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.71 % (19213)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.71 % (19213)Termination reason: Unknown
% 2.31/0.71 % (19213)Termination phase: Saturation
% 2.31/0.71
% 2.31/0.71 % (19213)Memory used [KB]: 6908
% 2.31/0.71 % (19213)Time elapsed: 0.326 s
% 2.31/0.71 % (19213)Instructions burned: 100 (million)
% 2.31/0.71 % (19213)------------------------------
% 2.31/0.71 % (19213)------------------------------
% 2.31/0.72 % (19314)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/68Mi)
% 2.31/0.73 % (19311)ott+10_1:50_bsr=unit_only:drc=off:fd=preordered:sp=frequency:i=747:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/747Mi)
% 2.31/0.73 % (19208)Instruction limit reached!
% 2.31/0.73 % (19208)------------------------------
% 2.31/0.73 % (19208)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.31/0.73 % (19208)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.31/0.73 % (19208)Termination reason: Unknown
% 2.31/0.73 % (19208)Termination phase: Saturation
% 2.31/0.73
% 2.31/0.73 % (19208)Memory used [KB]: 7675
% 2.31/0.73 % (19208)Time elapsed: 0.342 s
% 2.31/0.73 % (19208)Instructions burned: 100 (million)
% 2.31/0.73 % (19208)------------------------------
% 2.31/0.73 % (19208)------------------------------
% 2.87/0.73 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.87/0.73 % (19318)ott+11_4:1_br=off:fde=none:s2a=on:sd=2:sp=frequency:urr=on:i=981:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/981Mi)
% 2.87/0.73 TRYING [4]
% 2.87/0.73 % (19216)Instruction limit reached!
% 2.87/0.73 % (19216)------------------------------
% 2.87/0.73 % (19216)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.73 % (19216)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.73 % (19216)Termination reason: Unknown
% 2.87/0.73 % (19216)Termination phase: Saturation
% 2.87/0.73
% 2.87/0.73 % (19216)Memory used [KB]: 2302
% 2.87/0.73 % (19216)Time elapsed: 0.331 s
% 2.87/0.73 % (19216)Instructions burned: 101 (million)
% 2.87/0.73 % (19216)------------------------------
% 2.87/0.73 % (19216)------------------------------
% 2.87/0.73 % (19215)Instruction limit reached!
% 2.87/0.73 % (19215)------------------------------
% 2.87/0.73 % (19215)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.87/0.73 % (19215)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.87/0.73 % (19215)Termination reason: Unknown
% 2.87/0.73 % (19215)Termination phase: Saturation
% 2.87/0.73
% 2.87/0.73 % (19215)Memory used [KB]: 7291
% 2.87/0.73 % (19215)Time elapsed: 0.349 s
% 2.87/0.73 % (19215)Instructions burned: 100 (million)
% 2.87/0.73 % (19215)------------------------------
% 2.87/0.73 % (19215)------------------------------
% 2.87/0.73 % (19315)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=940:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/940Mi)
% 2.87/0.79 % (19320)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.87/0.79 % (19319)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/90Mi)
% 2.87/0.79 % (19321)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 3.16/0.80 % (19218)Instruction limit reached!
% 3.16/0.80 % (19218)------------------------------
% 3.16/0.80 % (19218)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.80 % (19218)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.80 % (19218)Termination reason: Unknown
% 3.16/0.80 % (19218)Termination phase: Saturation
% 3.16/0.80
% 3.16/0.80 % (19218)Memory used [KB]: 7547
% 3.16/0.80 % (19218)Time elapsed: 0.421 s
% 3.16/0.80 % (19218)Instructions burned: 139 (million)
% 3.16/0.80 % (19218)------------------------------
% 3.16/0.80 % (19218)------------------------------
% 3.16/0.81 % (19322)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.16/0.81 % (19217)Instruction limit reached!
% 3.16/0.81 % (19217)------------------------------
% 3.16/0.81 % (19217)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.81 % (19217)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.81 % (19217)Termination reason: Unknown
% 3.16/0.81 % (19217)Termination phase: Saturation
% 3.16/0.81
% 3.16/0.81 % (19217)Memory used [KB]: 8059
% 3.16/0.81 % (19217)Time elapsed: 0.417 s
% 3.16/0.81 % (19217)Instructions burned: 177 (million)
% 3.16/0.81 % (19217)------------------------------
% 3.16/0.81 % (19217)------------------------------
% 3.16/0.82 % (19325)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=4931:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4931Mi)
% 3.16/0.82 % (19324)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.16/0.83 % (19314)Instruction limit reached!
% 3.16/0.83 % (19314)------------------------------
% 3.16/0.83 % (19314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.83 % (19314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.83 % (19314)Termination reason: Unknown
% 3.16/0.83 % (19314)Termination phase: Saturation
% 3.16/0.83
% 3.16/0.83 % (19314)Memory used [KB]: 7036
% 3.16/0.83 % (19314)Time elapsed: 0.037 s
% 3.16/0.83 % (19314)Instructions burned: 68 (million)
% 3.16/0.83 % (19314)------------------------------
% 3.16/0.83 % (19314)------------------------------
% 3.16/0.83 % (19323)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=4959:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4959Mi)
% 3.16/0.83 % (19224)Instruction limit reached!
% 3.16/0.83 % (19224)------------------------------
% 3.16/0.83 % (19224)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.16/0.86 % (19224)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.16/0.86 % (19224)Termination reason: Unknown
% 3.16/0.86 % (19224)Termination phase: Saturation
% 3.16/0.86
% 3.16/0.86 % (19224)Memory used [KB]: 3837
% 3.16/0.86 % (19224)Time elapsed: 0.458 s
% 3.16/0.86 % (19224)Instructions burned: 177 (million)
% 3.16/0.86 % (19224)------------------------------
% 3.16/0.86 % (19224)------------------------------
% 3.16/0.86 % (19326)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/68Mi)
% 3.51/0.87 % (19328)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=2134:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2134Mi)
% 3.51/0.88 % (19327)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/1824Mi)
% 3.51/0.89 % (19292)Instruction limit reached!
% 3.51/0.89 % (19292)------------------------------
% 3.51/0.89 % (19292)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.51/0.89 % (19292)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.51/0.89 % (19292)Termination reason: Unknown
% 3.51/0.89 % (19292)Termination phase: Saturation
% 3.51/0.89
% 3.51/0.89 % (19292)Memory used [KB]: 7164
% 3.51/0.89 % (19292)Time elapsed: 0.272 s
% 3.51/0.89 % (19292)Instructions burned: 90 (million)
% 3.51/0.89 % (19292)------------------------------
% 3.51/0.89 % (19292)------------------------------
% 3.65/0.93 % (19319)Instruction limit reached!
% 3.65/0.93 % (19319)------------------------------
% 3.65/0.93 % (19319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/0.93 % (19319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/0.93 % (19319)Termination reason: Unknown
% 3.72/0.93 % (19319)Termination phase: Saturation
% 3.72/0.93
% 3.72/0.93 % (19319)Memory used [KB]: 7164
% 3.72/0.93 % (19319)Time elapsed: 0.236 s
% 3.72/0.93 % (19319)Instructions burned: 90 (million)
% 3.72/0.93 % (19319)------------------------------
% 3.72/0.93 % (19319)------------------------------
% 3.72/0.94 % (19329)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.72/0.95 % (19331)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.72/0.96 % (19332)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/90Mi)
% 3.72/0.97 % (19326)Instruction limit reached!
% 3.72/0.97 % (19326)------------------------------
% 3.72/0.97 % (19326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.72/0.97 % (19326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.72/0.97 % (19326)Termination reason: Unknown
% 3.72/0.97 % (19326)Termination phase: Saturation
% 3.72/0.97
% 3.72/0.97 % (19326)Memory used [KB]: 7036
% 3.72/0.97 % (19326)Time elapsed: 0.043 s
% 3.72/0.97 % (19326)Instructions burned: 69 (million)
% 3.72/0.97 % (19326)------------------------------
% 3.72/0.97 % (19326)------------------------------
% 3.72/0.99 % (19333)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/2016Mi)
% 3.72/1.02 % (19226)Instruction limit reached!
% 3.72/1.02 % (19226)------------------------------
% 3.72/1.02 % (19226)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.03 % (19226)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.04 TRYING [5]
% 4.12/1.04 % (19226)Termination reason: Unknown
% 4.12/1.04 % (19226)Termination phase: Saturation
% 4.12/1.04
% 4.12/1.04 % (19226)Memory used [KB]: 10362
% 4.12/1.04 % (19226)Time elapsed: 0.629 s
% 4.12/1.04 % (19226)Instructions burned: 355 (million)
% 4.12/1.04 % (19226)------------------------------
% 4.12/1.04 % (19226)------------------------------
% 4.12/1.05 % (19334)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 4.12/1.05 % (19335)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 4.12/1.05 % (19287)Instruction limit reached!
% 4.12/1.05 % (19287)------------------------------
% 4.12/1.05 % (19287)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.12/1.05 % (19287)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.12/1.05 % (19287)Termination reason: Unknown
% 4.12/1.05 % (19287)Termination phase: Saturation
% 4.12/1.05
% 4.12/1.05 % (19287)Memory used [KB]: 4477
% 4.12/1.05 % (19287)Time elapsed: 0.442 s
% 4.12/1.05 % (19287)Instructions burned: 213 (million)
% 4.12/1.05 % (19287)------------------------------
% 4.12/1.05 % (19287)------------------------------
% 4.32/1.10 % (19336)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=9877:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9877Mi)
% 4.32/1.14 % (19332)Instruction limit reached!
% 4.32/1.14 % (19332)------------------------------
% 4.32/1.14 % (19332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 4.32/1.14 % (19332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 4.32/1.14 % (19332)Termination reason: Unknown
% 4.32/1.14 % (19332)Termination phase: Saturation
% 4.32/1.14
% 4.32/1.14 % (19332)Memory used [KB]: 7164
% 4.32/1.14 % (19332)Time elapsed: 0.285 s
% 4.32/1.14 % (19332)Instructions burned: 90 (million)
% 4.32/1.14 % (19332)------------------------------
% 4.32/1.14 % (19332)------------------------------
% 4.32/1.14 % (19337)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=9902:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/9902Mi)
% 6.61/1.20 % (19338)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 7.08/1.30 % (19339)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.08/1.31 % (19225)Instruction limit reached!
% 7.08/1.31 % (19225)------------------------------
% 7.08/1.31 % (19225)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.08/1.31 % (19225)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.08/1.31 % (19225)Termination reason: Unknown
% 7.08/1.31 % (19225)Termination phase: Saturation
% 7.08/1.31
% 7.08/1.31 % (19225)Memory used [KB]: 11001
% 7.08/1.31 % (19225)Time elapsed: 0.902 s
% 7.08/1.31 % (19225)Instructions burned: 439 (million)
% 7.08/1.31 % (19225)------------------------------
% 7.08/1.31 % (19225)------------------------------
% 7.73/1.33 % (19281)Instruction limit reached!
% 7.73/1.33 % (19281)------------------------------
% 7.73/1.33 % (19281)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.73/1.33 % (19281)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.73/1.33 % (19281)Termination reason: Unknown
% 7.73/1.33 % (19281)Termination phase: Saturation
% 7.73/1.33
% 7.73/1.33 % (19281)Memory used [KB]: 9850
% 7.73/1.33 % (19281)Time elapsed: 0.754 s
% 7.73/1.33 % (19281)Instructions burned: 388 (million)
% 7.73/1.33 % (19281)------------------------------
% 7.73/1.33 % (19281)------------------------------
% 7.73/1.37 % (19220)Instruction limit reached!
% 7.73/1.37 % (19220)------------------------------
% 7.73/1.37 % (19220)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.73/1.38 % (19221)Instruction limit reached!
% 7.73/1.38 % (19221)------------------------------
% 7.73/1.38 % (19221)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.73/1.38 % (19221)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.73/1.38 % (19221)Termination reason: Unknown
% 7.73/1.38 % (19221)Termination phase: Saturation
% 7.73/1.38
% 7.73/1.38 % (19221)Memory used [KB]: 12537
% 7.73/1.38 % (19221)Time elapsed: 1.001 s
% 7.73/1.38 % (19221)Instructions burned: 482 (million)
% 7.73/1.38 % (19221)------------------------------
% 7.73/1.38 % (19221)------------------------------
% 7.73/1.38 % (19220)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.22/1.38 % (19220)Termination reason: Unknown
% 8.22/1.38 % (19220)Termination phase: Saturation
% 8.22/1.38
% 8.22/1.38 % (19220)Memory used [KB]: 13304
% 8.22/1.38 % (19220)Time elapsed: 0.987 s
% 8.22/1.38 % (19220)Instructions burned: 468 (million)
% 8.22/1.38 % (19220)------------------------------
% 8.22/1.38 % (19220)------------------------------
% 8.22/1.41 % (19219)Instruction limit reached!
% 8.22/1.41 % (19219)------------------------------
% 8.22/1.41 % (19219)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.22/1.42 % (19219)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.22/1.42 % (19219)Termination reason: Unknown
% 8.22/1.42 % (19219)Termination phase: Saturation
% 8.22/1.42
% 8.22/1.42 % (19219)Memory used [KB]: 5500
% 8.22/1.42 % (19219)Time elapsed: 0.965 s
% 8.22/1.42 % (19219)Instructions burned: 499 (million)
% 8.22/1.42 % (19219)------------------------------
% 8.22/1.42 % (19219)------------------------------
% 8.22/1.43 % (19340)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.78/1.47 % (19222)Instruction limit reached!
% 8.78/1.47 % (19222)------------------------------
% 8.78/1.47 % (19222)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.78/1.47 % (19222)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.78/1.47 % (19222)Termination reason: Unknown
% 8.78/1.47 % (19222)Termination phase: Saturation
% 8.78/1.47
% 8.78/1.47 % (19222)Memory used [KB]: 12792
% 8.78/1.47 % (19222)Time elapsed: 1.083 s
% 8.78/1.47 % (19222)Instructions burned: 500 (million)
% 8.78/1.47 % (19222)------------------------------
% 8.78/1.47 % (19222)------------------------------
% 8.78/1.48 % (19341)dis+22_1:128_bsd=on:rp=on:slsq=on:slsqc=1:slsqr=1,6:sp=frequency:spb=goal:thsq=on:thsqc=16:thsqd=1:thsql=off:i=90:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/90Mi)
% 8.93/1.48 % (19343)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/4958Mi)
% 8.93/1.51 % (19342)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 9.25/1.56 % (19344)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 9.25/1.61 % (19345)dis+1002_1:1_fde=unused:nwc=10.0:s2a=on:s2at=3.0:sac=on:i=32293:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/32293Mi)
% 9.78/1.64 % (19341)Instruction limit reached!
% 9.78/1.64 % (19341)------------------------------
% 9.78/1.64 % (19341)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.78/1.64 % (19341)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.78/1.64 % (19341)Termination reason: Unknown
% 9.78/1.64 % (19341)Termination phase: Saturation
% 9.78/1.64
% 9.78/1.64 % (19341)Memory used [KB]: 7803
% 9.78/1.64 % (19341)Time elapsed: 0.258 s
% 9.78/1.64 % (19341)Instructions burned: 91 (million)
% 9.78/1.64 % (19341)------------------------------
% 9.78/1.64 % (19341)------------------------------
% 11.30/1.78 % (19346)ott+21_1:28_afr=on:anc=all_dependent:bs=on:bsr=unit_only:nicw=on:sp=const_frequency:uhcvi=on:i=37001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/37001Mi)
% 11.71/1.87 % (19322)First to succeed.
% 11.71/1.89 % (19312)Instruction limit reached!
% 11.71/1.89 % (19312)------------------------------
% 11.71/1.89 % (19312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 11.71/1.89 % (19312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 11.71/1.89 % (19312)Termination reason: Unknown
% 11.71/1.89 % (19312)Termination phase: Saturation
% 11.71/1.89
% 11.71/1.89 % (19312)Memory used [KB]: 6908
% 11.71/1.89 % (19312)Time elapsed: 1.257 s
% 11.71/1.89 % (19312)Instructions burned: 655 (million)
% 11.71/1.89 % (19312)------------------------------
% 11.71/1.89 % (19312)------------------------------
% 11.71/1.90 % (19318)Also succeeded, but the first one will report.
% 11.71/1.90 % (19322)Refutation found. Thanks to Tanya!
% 11.71/1.90 % SZS status Theorem for theBenchmark
% 11.71/1.90 % SZS output start Proof for theBenchmark
% See solution above
% 12.43/1.91 % (19322)------------------------------
% 12.43/1.91 % (19322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.43/1.91 % (19322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.43/1.91 % (19322)Termination reason: Refutation
% 12.43/1.91
% 12.43/1.91 % (19322)Memory used [KB]: 3198
% 12.43/1.91 % (19322)Time elapsed: 1.171 s
% 12.43/1.91 % (19322)Instructions burned: 844 (million)
% 12.43/1.91 % (19322)------------------------------
% 12.43/1.91 % (19322)------------------------------
% 12.43/1.91 % (19194)Success in time 1.573 s
%------------------------------------------------------------------------------