TSTP Solution File: SWC084+1 by SnakeForV-SAT---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC084+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 : n012.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 18:41:38 EDT 2022
% Result : Theorem 20.08s 2.90s
% Output : Refutation 20.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 375
% Syntax : Number of formulae : 1320 ( 49 unt; 0 def)
% Number of atoms : 4892 ( 878 equ)
% Maximal formula atoms : 40 ( 3 avg)
% Number of connectives : 6354 (2782 ~;2896 |; 244 &)
% ( 342 <=>; 90 =>; 0 <=; 0 <~>)
% Maximal formula depth : 24 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 342 ( 340 usr; 325 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 8 con; 0-2 aty)
% Number of variables : 801 ( 715 !; 86 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3483,plain,
$false,
inference(avatar_smt_refutation,[],[f590,f595,f600,f609,f614,f623,f628,f633,f634,f639,f644,f649,f650,f653,f658,f663,f669,f670,f675,f680,f681,f686,f691,f692,f693,f698,f705,f710,f718,f726,f733,f743,f757,f783,f788,f789,f800,f805,f811,f819,f827,f828,f854,f855,f882,f886,f891,f893,f901,f911,f915,f931,f941,f953,f966,f967,f975,f976,f986,f991,f1008,f1012,f1016,f1017,f1018,f1042,f1046,f1051,f1055,f1059,f1063,f1064,f1068,f1069,f1071,f1072,f1073,f1088,f1093,f1098,f1103,f1112,f1113,f1116,f1137,f1142,f1147,f1150,f1179,f1192,f1209,f1213,f1241,f1246,f1280,f1284,f1288,f1293,f1297,f1302,f1317,f1322,f1327,f1342,f1347,f1352,f1361,f1369,f1386,f1422,f1451,f1456,f1461,f1466,f1483,f1488,f1493,f1504,f1508,f1512,f1517,f1521,f1526,f1527,f1537,f1542,f1547,f1552,f1557,f1574,f1579,f1584,f1589,f1610,f1614,f1623,f1624,f1628,f1629,f1630,f1634,f1635,f1709,f1714,f1719,f1724,f1729,f1734,f1742,f1746,f1750,f1754,f1762,f1766,f1770,f1774,f1782,f1793,f1798,f1802,f1807,f1808,f1812,f1845,f1850,f1855,f1860,f1865,f1870,f1898,f1907,f1916,f1925,f1940,f1950,f1980,f2000,f2004,f2008,f2012,f2014,f2034,f2038,f2042,f2046,f2063,f2068,f2073,f2082,f2087,f2096,f2101,f2103,f2115,f2122,f2128,f2136,f2144,f2159,f2176,f2189,f2194,f2199,f2204,f2209,f2214,f2232,f2276,f2295,f2299,f2303,f2307,f2326,f2330,f2334,f2338,f2345,f2364,f2368,f2372,f2376,f2395,f2399,f2403,f2407,f2409,f2432,f2436,f2440,f2444,f2448,f2453,f2457,f2471,f2475,f2480,f2484,f2488,f2492,f2496,f2500,f2511,f2526,f2535,f2539,f2541,f2564,f2569,f2574,f2587,f2592,f2597,f2602,f2619,f2636,f2656,f2658,f2699,f2708,f2713,f2718,f2723,f2728,f2733,f2754,f2775,f2800,f2805,f2810,f2815,f2820,f2825,f2830,f2850,f2865,f2883,f2885,f2914,f2919,f2930,f2947,f2952,f2957,f2966,f2975,f2980,f2985,f2999,f3020,f3034,f3062,f3067,f3072,f3081,f3086,f3091,f3096,f3097,f3098,f3128,f3149,f3178,f3203,f3210,f3255,f3259,f3260,f3261,f3271,f3275,f3276,f3277,f3301,f3309,f3320,f3326,f3346,f3351,f3360,f3388,f3397,f3402,f3403,f3412,f3452,f3457,f3466,f3470,f3474,f3479,f3482]) ).
fof(f3482,plain,
( spl52_1
| ~ spl52_7
| ~ spl52_5
| spl52_324 ),
inference(avatar_split_clause,[],[f3480,f3476,f602,f611,f584]) ).
fof(f584,plain,
( spl52_1
<=> nil = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f611,plain,
( spl52_7
<=> ssList(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f602,plain,
( spl52_5
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f3476,plain,
( spl52_324
<=> neq(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_324])]) ).
fof(f3480,plain,
( ~ ssList(nil)
| ~ ssList(sK34)
| nil = sK34
| spl52_324 ),
inference(resolution,[],[f3478,f439]) ).
fof(f439,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f3478,plain,
( ~ neq(sK34,nil)
| spl52_324 ),
inference(avatar_component_clause,[],[f3476]) ).
fof(f3479,plain,
( ~ spl52_324
| ~ spl52_7
| ~ spl52_203
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f3437,f3399,f2342,f611,f3476]) ).
fof(f2342,plain,
( spl52_203
<=> segmentP(sK34,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).
fof(f3399,plain,
( spl52_314
<=> segmentP(sK35,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_314])]) ).
fof(f3437,plain,
( ~ segmentP(sK34,sK34)
| ~ ssList(sK34)
| ~ neq(sK34,nil)
| ~ spl52_314 ),
inference(resolution,[],[f3401,f547]) ).
fof(f547,plain,
! [X4] :
( ~ segmentP(sK35,X4)
| ~ segmentP(sK34,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(definition_unfolding,[],[f475,f474,f473]) ).
fof(f473,plain,
sK32 = sK34,
inference(cnf_transformation,[],[f299]) ).
fof(f299,plain,
( ssList(sK32)
& ssList(sK33)
& ! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& sK33 = sK35
& sK32 = sK34
& neq(sK33,nil)
& ssList(sK35)
& ( ( nil = sK34
& nil = sK35 )
| ( cons(sK36,nil) = sK34
& memberP(sK35,sK36)
& ssItem(sK36)
& ! [X6] :
( ~ memberP(sK35,X6)
| ~ ssItem(X6)
| sK36 = X6
| ~ leq(sK36,X6) ) ) )
& ssList(sK34) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK32,sK33,sK34,sK35,sK36])],[f293,f298,f297,f296,f295,f294]) ).
fof(f294,plain,
( ? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(X0,X4) )
& X1 = X3
& X0 = X2
& neq(X1,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(X2) ) ) )
=> ( ssList(sK32)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& X1 = X3
& sK32 = X2
& neq(X1,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(X2) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
( ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& X1 = X3
& sK32 = X2
& neq(X1,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(X2) ) )
=> ( ssList(sK33)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& sK33 = X3
& sK32 = X2
& neq(sK33,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
( ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& sK33 = X3
& sK32 = X2
& neq(sK33,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(X2) )
=> ( ? [X3] :
( ! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& sK33 = X3
& sK32 = sK34
& neq(sK33,nil)
& ssList(X3)
& ( ( nil = sK34
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = sK34
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(sK34) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
( ? [X3] :
( ! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& sK33 = X3
& sK32 = sK34
& neq(sK33,nil)
& ssList(X3)
& ( ( nil = sK34
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = sK34
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
=> ( ! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) )
& sK33 = sK35
& sK32 = sK34
& neq(sK33,nil)
& ssList(sK35)
& ( ( nil = sK34
& nil = sK35 )
| ? [X5] :
( cons(X5,nil) = sK34
& memberP(sK35,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(sK35,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
( ? [X5] :
( cons(X5,nil) = sK34
& memberP(sK35,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(sK35,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) )
=> ( cons(sK36,nil) = sK34
& memberP(sK35,sK36)
& ssItem(sK36)
& ! [X6] :
( ~ memberP(sK35,X6)
| ~ ssItem(X6)
| sK36 = X6
| ~ leq(sK36,X6) ) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X4] :
( ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(X0,X4) )
& X1 = X3
& X0 = X2
& neq(X1,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X5] :
( cons(X5,nil) = X2
& memberP(X3,X5)
& ssItem(X5)
& ! [X6] :
( ~ memberP(X3,X6)
| ~ ssItem(X6)
| X5 = X6
| ~ leq(X5,X6) ) ) ) )
& ssList(X2) ) ) ),
inference(rectify,[],[f131]) ).
fof(f131,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ? [X3] :
( ! [X6] :
( ~ segmentP(X1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(X0,X6) )
& X1 = X3
& X0 = X2
& neq(X1,nil)
& ssList(X3)
& ( ( nil = X2
& nil = X3 )
| ? [X4] :
( cons(X4,nil) = X2
& memberP(X3,X4)
& ssItem(X4)
& ! [X5] :
( ~ memberP(X3,X5)
| ~ ssItem(X5)
| X4 = X5
| ~ leq(X4,X5) ) ) ) )
& ssList(X2) ) ) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ? [X4] :
( cons(X4,nil) = X2
& ! [X5] :
( ~ memberP(X3,X5)
| ~ ssItem(X5)
| X4 = X5
| ~ leq(X4,X5) )
& memberP(X3,X4)
& ssItem(X4) )
| ( nil = X2
& nil = X3 ) )
& neq(X1,nil)
& X0 = X2
& X1 = X3
& ! [X6] :
( ~ segmentP(X1,X6)
| ~ neq(X6,nil)
| ~ ssList(X6)
| ~ segmentP(X0,X6) )
& 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)
=> ( ( ! [X4] :
( ssItem(X4)
=> ( cons(X4,nil) != X2
| ? [X5] :
( memberP(X3,X5)
& X4 != X5
& leq(X4,X5)
& ssItem(X5) )
| ~ memberP(X3,X4) ) )
& ( nil != X2
| nil != X3 ) )
| ~ neq(X1,nil)
| X0 != X2
| X1 != X3
| ? [X6] :
( ssList(X6)
& segmentP(X1,X6)
& segmentP(X0,X6)
& neq(X6,nil) ) ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X3,X5)
| cons(X5,nil) != X2
| ? [X6] :
( memberP(X3,X6)
& leq(X5,X6)
& X5 != X6
& ssItem(X6) ) ) ) )
| ~ neq(X1,nil)
| ? [X4] :
( segmentP(X0,X4)
& ssList(X4)
& segmentP(X1,X4)
& neq(X4,nil) )
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( X0 != X2
| ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ~ memberP(X3,X5)
| cons(X5,nil) != X2
| ? [X6] :
( memberP(X3,X6)
& leq(X5,X6)
& X5 != X6
& ssItem(X6) ) ) ) )
| ~ neq(X1,nil)
| ? [X4] :
( segmentP(X0,X4)
& ssList(X4)
& segmentP(X1,X4)
& neq(X4,nil) )
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f474,plain,
sK33 = sK35,
inference(cnf_transformation,[],[f299]) ).
fof(f475,plain,
! [X4] :
( ~ segmentP(sK33,X4)
| ~ neq(X4,nil)
| ~ ssList(X4)
| ~ segmentP(sK32,X4) ),
inference(cnf_transformation,[],[f299]) ).
fof(f3401,plain,
( segmentP(sK35,sK34)
| ~ spl52_314 ),
inference(avatar_component_clause,[],[f3399]) ).
fof(f3474,plain,
( ~ spl52_7
| ~ spl52_21
| spl52_323
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f3440,f3399,f3472,f688,f611]) ).
fof(f688,plain,
( spl52_21
<=> ssList(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f3472,plain,
( spl52_323
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,app(sK35,X1)),sK34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_323])]) ).
fof(f3440,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| segmentP(app(X0,app(sK35,X1)),sK34)
| ~ ssList(X1)
| ~ ssList(sK35)
| ~ ssList(sK34) )
| ~ spl52_314 ),
inference(resolution,[],[f3401,f699]) ).
fof(f699,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| segmentP(app(X2,app(X0,X3)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(forward_subsumption_demodulation,[],[f351,f339]) ).
fof(f339,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) ) )
| ~ ssList(X0) ),
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/sandbox/benchmark/theBenchmark.p',ax82) ).
fof(f351,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f176]) ).
fof(f176,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/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f3470,plain,
( ~ spl52_21
| ~ spl52_7
| spl52_322
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f3442,f3399,f3468,f611,f688]) ).
fof(f3468,plain,
( spl52_322
<=> ! [X2] :
( ~ segmentP(X2,sK35)
| segmentP(X2,sK34)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_322])]) ).
fof(f3442,plain,
( ! [X2] :
( ~ segmentP(X2,sK35)
| ~ ssList(sK34)
| ~ ssList(X2)
| segmentP(X2,sK34)
| ~ ssList(sK35) )
| ~ spl52_314 ),
inference(resolution,[],[f3401,f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ segmentP(X0,X1)
| segmentP(X0,X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f173]) ).
fof(f173,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| segmentP(X0,X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f172]) ).
fof(f172,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/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f3466,plain,
( spl52_320
| spl52_321
| ~ spl52_21
| ~ spl52_7
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f3439,f3399,f611,f688,f3463,f3459]) ).
fof(f3459,plain,
( spl52_320
<=> nil = sK22(sK35,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_320])]) ).
fof(f3463,plain,
( spl52_321
<=> sK22(sK35,sK34) = cons(sK49(sK22(sK35,sK34)),sK48(sK22(sK35,sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_321])]) ).
fof(f3439,plain,
( ~ ssList(sK34)
| ~ ssList(sK35)
| sK22(sK35,sK34) = cons(sK49(sK22(sK35,sK34)),sK48(sK22(sK35,sK34)))
| nil = sK22(sK35,sK34)
| ~ spl52_314 ),
inference(resolution,[],[f3401,f772]) ).
fof(f772,plain,
! [X2,X3] :
( ~ segmentP(X2,X3)
| ~ ssList(X2)
| sK22(X2,X3) = cons(sK49(sK22(X2,X3)),sK48(sK22(X2,X3)))
| ~ ssList(X3)
| nil = sK22(X2,X3) ),
inference(resolution,[],[f512,f419]) ).
fof(f419,plain,
! [X0,X1] :
( ssList(sK22(X0,X1))
| ~ ssList(X1)
| ~ segmentP(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0] :
( ! [X1] :
( ( ( ( ssList(sK23(X0,X1))
& app(app(sK22(X0,X1),X1),sK23(X0,X1)) = X0
& ssList(sK22(X0,X1)) )
| ~ segmentP(X0,X1) )
& ( segmentP(X0,X1)
| ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| app(app(X4,X1),X5) != X0 )
| ~ ssList(X4) ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f272,f274,f273]) ).
fof(f273,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) )
=> ( ? [X3] :
( ssList(X3)
& app(app(sK22(X0,X1),X1),X3) = X0 )
& ssList(sK22(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f274,plain,
! [X0,X1] :
( ? [X3] :
( ssList(X3)
& app(app(sK22(X0,X1),X1),X3) = X0 )
=> ( ssList(sK23(X0,X1))
& app(app(sK22(X0,X1),X1),sK23(X0,X1)) = X0 ) ),
introduced(choice_axiom,[]) ).
fof(f272,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) )
| ~ segmentP(X0,X1) )
& ( segmentP(X0,X1)
| ! [X4] :
( ! [X5] :
( ~ ssList(X5)
| app(app(X4,X1),X5) != X0 )
| ~ ssList(X4) ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f271]) ).
fof(f271,plain,
! [X0] :
( ! [X1] :
( ( ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) )
| ~ segmentP(X0,X1) )
& ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( ~ ssList(X3)
| app(app(X2,X1),X3) != X0 )
| ~ ssList(X2) ) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) )
<=> segmentP(X0,X1) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) )
<=> segmentP(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f512,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK49(X0),sK48(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ( ssList(sK48(X0))
& cons(sK49(X0),sK48(X0)) = X0
& ssItem(sK49(X0)) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK48,sK49])],[f152,f323,f322]) ).
fof(f322,plain,
! [X0] :
( ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
=> ( ssList(sK48(X0))
& ? [X2] :
( cons(X2,sK48(X0)) = X0
& ssItem(X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f323,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK48(X0)) = X0
& ssItem(X2) )
=> ( cons(sK49(X0),sK48(X0)) = X0
& ssItem(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f152,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) ) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ssList(X1)
& ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f3457,plain,
( ~ spl52_21
| ~ spl52_7
| spl52_319
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f3441,f3399,f3454,f611,f688]) ).
fof(f3454,plain,
( spl52_319
<=> sK35 = app(app(sK22(sK35,sK34),sK34),sK23(sK35,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_319])]) ).
fof(f3441,plain,
( sK35 = app(app(sK22(sK35,sK34),sK34),sK23(sK35,sK34))
| ~ ssList(sK34)
| ~ ssList(sK35)
| ~ spl52_314 ),
inference(resolution,[],[f3401,f420]) ).
fof(f420,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| app(app(sK22(X0,X1),X1),sK23(X0,X1)) = X0
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f3452,plain,
( ~ spl52_21
| spl52_317
| ~ spl52_7
| spl52_318
| ~ spl52_314 ),
inference(avatar_split_clause,[],[f3438,f3399,f3449,f611,f3445,f688]) ).
fof(f3445,plain,
( spl52_317
<=> nil = sK23(sK35,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_317])]) ).
fof(f3449,plain,
( spl52_318
<=> cons(sK49(sK23(sK35,sK34)),sK48(sK23(sK35,sK34))) = sK23(sK35,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_318])]) ).
fof(f3438,plain,
( cons(sK49(sK23(sK35,sK34)),sK48(sK23(sK35,sK34))) = sK23(sK35,sK34)
| ~ ssList(sK34)
| nil = sK23(sK35,sK34)
| ~ ssList(sK35)
| ~ spl52_314 ),
inference(resolution,[],[f3401,f773]) ).
fof(f773,plain,
! [X4,X5] :
( ~ segmentP(X4,X5)
| nil = sK23(X4,X5)
| sK23(X4,X5) = cons(sK49(sK23(X4,X5)),sK48(sK23(X4,X5)))
| ~ ssList(X4)
| ~ ssList(X5) ),
inference(resolution,[],[f512,f421]) ).
fof(f421,plain,
! [X0,X1] :
( ssList(sK23(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f3412,plain,
( ~ spl52_315
| ~ spl52_156
| spl52_316
| ~ spl52_157
| ~ spl52_21
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f3328,f1290,f688,f1994,f3409,f1990,f3405]) ).
fof(f3405,plain,
( spl52_315
<=> sK35 = app(sK24(sK35,sK36),sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_315])]) ).
fof(f1990,plain,
( spl52_156
<=> ssList(cons(sK36,sK25(sK35,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).
fof(f3409,plain,
( spl52_316
<=> sK35 = cons(sK36,sK25(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_316])]) ).
fof(f1994,plain,
( spl52_157
<=> ssList(sK24(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).
fof(f1290,plain,
( spl52_78
<=> app(sK24(sK35,sK36),cons(sK36,sK25(sK35,sK36))) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f3328,plain,
( ~ ssList(sK24(sK35,sK36))
| sK35 = cons(sK36,sK25(sK35,sK36))
| ~ ssList(cons(sK36,sK25(sK35,sK36)))
| sK35 != app(sK24(sK35,sK36),sK35)
| ~ spl52_21
| ~ spl52_78 ),
inference(superposition,[],[f1691,f1292]) ).
fof(f1292,plain,
( app(sK24(sK35,sK36),cons(sK36,sK25(sK35,sK36))) = sK35
| ~ spl52_78 ),
inference(avatar_component_clause,[],[f1290]) ).
fof(f1691,plain,
( ! [X31,X30] :
( app(X30,X31) != app(X30,sK35)
| ~ ssList(X30)
| ~ ssList(X31)
| sK35 = X31 )
| ~ spl52_21 ),
inference(resolution,[],[f524,f690]) ).
fof(f690,plain,
( ssList(sK35)
| ~ spl52_21 ),
inference(avatar_component_clause,[],[f688]) ).
fof(f524,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X1,X2) != app(X1,X0)
| X0 = X2 ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| X0 = X2 ) )
| ~ ssList(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f3403,plain,
( ~ spl52_157
| ~ spl52_156
| spl52_159
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f2262,f1290,f2002,f1990,f1994]) ).
fof(f2002,plain,
( spl52_159
<=> ! [X3] :
( ~ ssList(app(X3,sK35))
| segmentP(app(X3,sK35),sK24(sK35,sK36))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_159])]) ).
fof(f2262,plain,
( ! [X3] :
( ~ ssList(app(X3,sK35))
| segmentP(app(X3,sK35),sK24(sK35,sK36))
| ~ ssList(X3)
| ~ ssList(cons(sK36,sK25(sK35,sK36)))
| ~ ssList(sK24(sK35,sK36)) )
| ~ spl52_78 ),
inference(superposition,[],[f652,f1292]) ).
fof(f652,plain,
! [X1,X4,X5] :
( ~ ssList(app(X4,app(X1,X5)))
| ~ ssList(X4)
| ~ ssList(X5)
| segmentP(app(X4,app(X1,X5)),X1)
| ~ ssList(X1) ),
inference(forward_subsumption_demodulation,[],[f651,f339]) ).
fof(f651,plain,
! [X1,X4,X5] :
( ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(app(app(X4,X1),X5))
| ~ ssList(X1)
| segmentP(app(X4,app(X1,X5)),X1) ),
inference(forward_subsumption_demodulation,[],[f563,f339]) ).
fof(f563,plain,
! [X1,X4,X5] :
( segmentP(app(app(X4,X1),X5),X1)
| ~ ssList(X4)
| ~ ssList(app(app(X4,X1),X5))
| ~ ssList(X5)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f418]) ).
fof(f418,plain,
! [X0,X1,X4,X5] :
( segmentP(X0,X1)
| ~ ssList(X5)
| app(app(X4,X1),X5) != X0
| ~ ssList(X4)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f3402,plain,
( ~ spl52_157
| spl52_314
| ~ spl52_190
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f2466,f1290,f660,f611,f597,f2273,f3399,f1994]) ).
fof(f2273,plain,
( spl52_190
<=> ssList(sK25(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).
fof(f597,plain,
( spl52_4
<=> cons(sK36,nil) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f660,plain,
( spl52_16
<=> ssItem(sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f2466,plain,
( ~ ssList(sK25(sK35,sK36))
| segmentP(sK35,sK34)
| ~ ssList(sK24(sK35,sK36))
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_78 ),
inference(superposition,[],[f1649,f1292]) ).
fof(f1649,plain,
( ! [X28,X29] :
( segmentP(app(X29,cons(sK36,X28)),sK34)
| ~ ssList(X29)
| ~ ssList(X28) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(forward_subsumption_demodulation,[],[f1644,f1435]) ).
fof(f1435,plain,
( ! [X2] :
( ~ ssList(X2)
| app(sK34,X2) = cons(sK36,X2) )
| ~ spl52_4
| ~ spl52_16 ),
inference(forward_demodulation,[],[f1432,f599]) ).
fof(f599,plain,
( cons(sK36,nil) = sK34
| ~ spl52_4 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f1432,plain,
( ! [X2] :
( app(cons(sK36,nil),X2) = cons(sK36,X2)
| ~ ssList(X2) )
| ~ spl52_16 ),
inference(resolution,[],[f496,f662]) ).
fof(f662,plain,
( ssItem(sK36)
| ~ spl52_16 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f496,plain,
! [X0,X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f1644,plain,
( ! [X28,X29] :
( segmentP(app(X29,app(sK34,X28)),sK34)
| ~ ssList(X29)
| ~ ssList(X28) )
| ~ spl52_7 ),
inference(resolution,[],[f982,f613]) ).
fof(f613,plain,
( ssList(sK34)
| ~ spl52_7 ),
inference(avatar_component_clause,[],[f611]) ).
fof(f982,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| segmentP(app(X0,app(X1,X2)),X1) ),
inference(duplicate_literal_removal,[],[f977]) ).
fof(f977,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| segmentP(app(X0,app(X1,X2)),X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f699,f497]) ).
fof(f497,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f3397,plain,
( ~ spl52_312
| ~ spl52_157
| ~ spl52_156
| spl52_313
| ~ spl52_7
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f3282,f1290,f611,f3394,f1990,f1994,f3390]) ).
fof(f3390,plain,
( spl52_312
<=> sK35 = app(sK24(sK35,sK36),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_312])]) ).
fof(f3394,plain,
( spl52_313
<=> sK34 = cons(sK36,sK25(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_313])]) ).
fof(f3282,plain,
( sK34 = cons(sK36,sK25(sK35,sK36))
| ~ ssList(cons(sK36,sK25(sK35,sK36)))
| ~ ssList(sK24(sK35,sK36))
| sK35 != app(sK24(sK35,sK36),sK34)
| ~ spl52_7
| ~ spl52_78 ),
inference(superposition,[],[f1690,f1292]) ).
fof(f1690,plain,
( ! [X28,X29] :
( app(X28,sK34) != app(X28,X29)
| ~ ssList(X29)
| ~ ssList(X28)
| sK34 = X29 )
| ~ spl52_7 ),
inference(resolution,[],[f524,f613]) ).
fof(f3388,plain,
( ~ spl52_9
| ~ spl52_16
| ~ spl52_21
| spl52_190 ),
inference(avatar_split_clause,[],[f3387,f2273,f688,f660,f620]) ).
fof(f620,plain,
( spl52_9
<=> memberP(sK35,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f3387,plain,
( ~ ssList(sK35)
| ~ ssItem(sK36)
| ~ memberP(sK35,sK36)
| spl52_190 ),
inference(resolution,[],[f2275,f429]) ).
fof(f429,plain,
! [X0,X1] :
( ssList(sK25(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ( ( app(sK24(X0,X1),cons(X1,sK25(X0,X1))) = X0
& ssList(sK25(X0,X1))
& ssList(sK24(X0,X1)) )
| ~ memberP(X0,X1) )
& ( memberP(X0,X1)
| ! [X4] :
( ! [X5] :
( app(X4,cons(X1,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) ) ) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24,sK25])],[f277,f279,f278]) ).
fof(f278,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( app(sK24(X0,X1),cons(X1,X3)) = X0
& ssList(X3) )
& ssList(sK24(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
! [X0,X1] :
( ? [X3] :
( app(sK24(X0,X1),cons(X1,X3)) = X0
& ssList(X3) )
=> ( app(sK24(X0,X1),cons(X1,sK25(X0,X1))) = X0
& ssList(sK25(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) )
& ( memberP(X0,X1)
| ! [X4] :
( ! [X5] :
( app(X4,cons(X1,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) ) ) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) )
& ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) ) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
<=> memberP(X0,X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
<=> memberP(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2275,plain,
( ~ ssList(sK25(sK35,sK36))
| spl52_190 ),
inference(avatar_component_clause,[],[f2273]) ).
fof(f3360,plain,
( ~ spl52_310
| spl52_311
| ~ spl52_162
| ~ spl52_164
| ~ spl52_21
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f3329,f1299,f688,f2031,f2024,f3357,f3353]) ).
fof(f3353,plain,
( spl52_310
<=> app(sK24(sK34,sK36),sK35) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_310])]) ).
fof(f3357,plain,
( spl52_311
<=> cons(sK36,sK25(sK34,sK36)) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_311])]) ).
fof(f2024,plain,
( spl52_162
<=> ssList(cons(sK36,sK25(sK34,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).
fof(f2031,plain,
( spl52_164
<=> ssList(sK24(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_164])]) ).
fof(f1299,plain,
( spl52_80
<=> app(sK24(sK34,sK36),cons(sK36,sK25(sK34,sK36))) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f3329,plain,
( ~ ssList(sK24(sK34,sK36))
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| cons(sK36,sK25(sK34,sK36)) = sK35
| app(sK24(sK34,sK36),sK35) != sK34
| ~ spl52_21
| ~ spl52_80 ),
inference(superposition,[],[f1691,f1301]) ).
fof(f1301,plain,
( app(sK24(sK34,sK36),cons(sK36,sK25(sK34,sK36))) = sK34
| ~ spl52_80 ),
inference(avatar_component_clause,[],[f1299]) ).
fof(f3351,plain,
( ~ spl52_7
| spl52_309
| ~ spl52_4
| ~ spl52_16
| ~ spl52_21
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f3347,f1480,f688,f660,f597,f3349,f611]) ).
fof(f3349,plain,
( spl52_309
<=> ! [X1] :
( ~ ssList(X1)
| sK35 = X1
| cons(sK36,sK35) != cons(sK36,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_309])]) ).
fof(f1480,plain,
( spl52_95
<=> app(sK34,sK35) = cons(sK36,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f3347,plain,
( ! [X1] :
( ~ ssList(X1)
| cons(sK36,sK35) != cons(sK36,X1)
| sK35 = X1
| ~ ssList(sK34) )
| ~ spl52_4
| ~ spl52_16
| ~ spl52_21
| ~ spl52_95 ),
inference(forward_subsumption_demodulation,[],[f3339,f1435]) ).
fof(f3339,plain,
( ! [X1] :
( sK35 = X1
| ~ ssList(sK34)
| ~ ssList(X1)
| cons(sK36,sK35) != app(sK34,X1) )
| ~ spl52_21
| ~ spl52_95 ),
inference(superposition,[],[f1691,f1482]) ).
fof(f1482,plain,
( app(sK34,sK35) = cons(sK36,sK35)
| ~ spl52_95 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f3346,plain,
( spl52_40
| ~ spl52_7
| ~ spl52_38
| ~ spl52_308
| ~ spl52_21
| ~ spl52_95
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f3341,f1490,f1480,f688,f3343,f879,f611,f888]) ).
fof(f888,plain,
( spl52_40
<=> sK35 = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f879,plain,
( spl52_38
<=> ssList(sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f3343,plain,
( spl52_308
<=> cons(sK36,sK35) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_308])]) ).
fof(f1490,plain,
( spl52_97
<=> app(sK34,sK48(sK35)) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f3341,plain,
( cons(sK36,sK35) != cons(sK36,sK48(sK35))
| ~ ssList(sK48(sK35))
| ~ ssList(sK34)
| sK35 = sK48(sK35)
| ~ spl52_21
| ~ spl52_95
| ~ spl52_97 ),
inference(forward_demodulation,[],[f3337,f1482]) ).
fof(f3337,plain,
( ~ ssList(sK34)
| app(sK34,sK35) != cons(sK36,sK48(sK35))
| ~ ssList(sK48(sK35))
| sK35 = sK48(sK35)
| ~ spl52_21
| ~ spl52_97 ),
inference(superposition,[],[f1691,f1492]) ).
fof(f1492,plain,
( app(sK34,sK48(sK35)) = cons(sK36,sK48(sK35))
| ~ spl52_97 ),
inference(avatar_component_clause,[],[f1490]) ).
fof(f3326,plain,
( ~ spl52_7
| spl52_74
| ~ spl52_21
| ~ spl52_307
| ~ spl52_7
| ~ spl52_95
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f3321,f1485,f1480,f611,f3323,f688,f1243,f611]) ).
fof(f1243,plain,
( spl52_74
<=> sK35 = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f3323,plain,
( spl52_307
<=> cons(sK36,sK35) = cons(sK36,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_307])]) ).
fof(f1485,plain,
( spl52_96
<=> cons(sK36,sK34) = app(sK34,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).
fof(f3321,plain,
( cons(sK36,sK35) != cons(sK36,sK34)
| ~ ssList(sK35)
| sK35 = sK34
| ~ ssList(sK34)
| ~ spl52_7
| ~ spl52_95
| ~ spl52_96 ),
inference(forward_demodulation,[],[f3291,f1487]) ).
fof(f1487,plain,
( cons(sK36,sK34) = app(sK34,sK34)
| ~ spl52_96 ),
inference(avatar_component_clause,[],[f1485]) ).
fof(f3291,plain,
( ~ ssList(sK34)
| sK35 = sK34
| ~ ssList(sK35)
| cons(sK36,sK35) != app(sK34,sK34)
| ~ spl52_7
| ~ spl52_95 ),
inference(superposition,[],[f1690,f1482]) ).
fof(f3320,plain,
( ~ spl52_7
| spl52_305
| ~ spl52_306
| ~ spl52_38
| ~ spl52_7
| ~ spl52_96
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f3311,f1490,f1485,f611,f879,f3317,f3313,f611]) ).
fof(f3313,plain,
( spl52_305
<=> sK48(sK35) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_305])]) ).
fof(f3317,plain,
( spl52_306
<=> cons(sK36,sK34) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_306])]) ).
fof(f3311,plain,
( ~ ssList(sK48(sK35))
| cons(sK36,sK34) != cons(sK36,sK48(sK35))
| sK48(sK35) = sK34
| ~ ssList(sK34)
| ~ spl52_7
| ~ spl52_96
| ~ spl52_97 ),
inference(forward_demodulation,[],[f3293,f1487]) ).
fof(f3293,plain,
( ~ ssList(sK34)
| app(sK34,sK34) != cons(sK36,sK48(sK35))
| ~ ssList(sK48(sK35))
| sK48(sK35) = sK34
| ~ spl52_7
| ~ spl52_97 ),
inference(superposition,[],[f1690,f1492]) ).
fof(f3309,plain,
( ~ spl52_162
| spl52_304
| ~ spl52_5
| ~ spl52_7
| ~ spl52_84
| ~ spl52_189 ),
inference(avatar_split_clause,[],[f3304,f2229,f1339,f611,f602,f3306,f2024]) ).
fof(f3306,plain,
( spl52_304
<=> cons(sK36,sK25(sK34,sK36)) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_304])]) ).
fof(f1339,plain,
( spl52_84
<=> app(nil,sK34) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f2229,plain,
( spl52_189
<=> app(nil,cons(sK36,sK25(sK34,sK36))) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).
fof(f3304,plain,
( ~ ssList(nil)
| cons(sK36,sK25(sK34,sK36)) = sK34
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| ~ spl52_7
| ~ spl52_84
| ~ spl52_189 ),
inference(trivial_inequality_removal,[],[f3303]) ).
fof(f3303,plain,
( ~ ssList(cons(sK36,sK25(sK34,sK36)))
| ~ ssList(nil)
| sK34 != sK34
| cons(sK36,sK25(sK34,sK36)) = sK34
| ~ spl52_7
| ~ spl52_84
| ~ spl52_189 ),
inference(forward_demodulation,[],[f3281,f1341]) ).
fof(f1341,plain,
( app(nil,sK34) = sK34
| ~ spl52_84 ),
inference(avatar_component_clause,[],[f1339]) ).
fof(f3281,plain,
( app(nil,sK34) != sK34
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| cons(sK36,sK25(sK34,sK36)) = sK34
| ~ ssList(nil)
| ~ spl52_7
| ~ spl52_189 ),
inference(superposition,[],[f1690,f2231]) ).
fof(f2231,plain,
( app(nil,cons(sK36,sK25(sK34,sK36))) = sK34
| ~ spl52_189 ),
inference(avatar_component_clause,[],[f2229]) ).
fof(f3301,plain,
( ~ spl52_7
| spl52_303
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f3297,f1485,f660,f611,f597,f3299,f611]) ).
fof(f3299,plain,
( spl52_303
<=> ! [X1] :
( ~ ssList(X1)
| sK34 = X1
| cons(sK36,sK34) != cons(sK36,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_303])]) ).
fof(f3297,plain,
( ! [X1] :
( ~ ssList(X1)
| cons(sK36,sK34) != cons(sK36,X1)
| ~ ssList(sK34)
| sK34 = X1 )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_96 ),
inference(forward_subsumption_demodulation,[],[f3279,f1435]) ).
fof(f3279,plain,
( ! [X1] :
( sK34 = X1
| cons(sK36,sK34) != app(sK34,X1)
| ~ ssList(X1)
| ~ ssList(sK34) )
| ~ spl52_7
| ~ spl52_96 ),
inference(superposition,[],[f1690,f1487]) ).
fof(f3277,plain,
( ~ spl52_5
| spl52_302
| ~ spl52_21
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f3264,f1344,f688,f3273,f602]) ).
fof(f3273,plain,
( spl52_302
<=> ! [X0] :
( ~ ssList(X0)
| sK35 != app(X0,sK35)
| nil = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_302])]) ).
fof(f1344,plain,
( spl52_85
<=> sK35 = app(nil,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f3264,plain,
( ! [X0] :
( ~ ssList(X0)
| sK35 != app(X0,sK35)
| ~ ssList(nil)
| nil = X0 )
| ~ spl52_21
| ~ spl52_85 ),
inference(superposition,[],[f1677,f1346]) ).
fof(f1346,plain,
( sK35 = app(nil,sK35)
| ~ spl52_85 ),
inference(avatar_component_clause,[],[f1344]) ).
fof(f1677,plain,
( ! [X31,X30] :
( app(X31,sK35) != app(X30,sK35)
| ~ ssList(X30)
| ~ ssList(X31)
| X30 = X31 )
| ~ spl52_21 ),
inference(resolution,[],[f375,f690]) ).
fof(f375,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| app(X2,X1) != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X2)
| X0 = X2 ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f3276,plain,
( ~ spl52_7
| spl52_301
| ~ spl52_21
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f3263,f1480,f688,f3269,f611]) ).
fof(f3269,plain,
( spl52_301
<=> ! [X1] :
( cons(sK36,sK35) != app(X1,sK35)
| sK34 = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_301])]) ).
fof(f3263,plain,
( ! [X1] :
( cons(sK36,sK35) != app(X1,sK35)
| ~ ssList(sK34)
| ~ ssList(X1)
| sK34 = X1 )
| ~ spl52_21
| ~ spl52_95 ),
inference(superposition,[],[f1677,f1482]) ).
fof(f3275,plain,
( ~ spl52_5
| spl52_302
| ~ spl52_21
| ~ spl52_85 ),
inference(avatar_split_clause,[],[f3262,f1344,f688,f3273,f602]) ).
fof(f3262,plain,
( ! [X0] :
( ~ ssList(X0)
| nil = X0
| ~ ssList(nil)
| sK35 != app(X0,sK35) )
| ~ spl52_21
| ~ spl52_85 ),
inference(superposition,[],[f1677,f1346]) ).
fof(f3271,plain,
( spl52_301
| ~ spl52_7
| ~ spl52_21
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f3265,f1480,f688,f611,f3269]) ).
fof(f3265,plain,
( ! [X1] :
( ~ ssList(sK34)
| cons(sK36,sK35) != app(X1,sK35)
| ~ ssList(X1)
| sK34 = X1 )
| ~ spl52_21
| ~ spl52_95 ),
inference(superposition,[],[f1677,f1482]) ).
fof(f3261,plain,
( ~ spl52_7
| spl52_300
| ~ spl52_7
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f3247,f1485,f611,f3257,f611]) ).
fof(f3257,plain,
( spl52_300
<=> ! [X1] :
( sK34 = X1
| cons(sK36,sK34) != app(X1,sK34)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_300])]) ).
fof(f3247,plain,
( ! [X1] :
( cons(sK36,sK34) != app(X1,sK34)
| sK34 = X1
| ~ ssList(sK34)
| ~ ssList(X1) )
| ~ spl52_7
| ~ spl52_96 ),
inference(superposition,[],[f1676,f1487]) ).
fof(f1676,plain,
( ! [X28,X29] :
( app(X28,sK34) != app(X29,sK34)
| X28 = X29
| ~ ssList(X28)
| ~ ssList(X29) )
| ~ spl52_7 ),
inference(resolution,[],[f375,f613]) ).
fof(f3260,plain,
( ~ spl52_5
| spl52_299
| ~ spl52_7
| ~ spl52_84 ),
inference(avatar_split_clause,[],[f3248,f1339,f611,f3253,f602]) ).
fof(f3253,plain,
( spl52_299
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| app(X0,sK34) != sK34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_299])]) ).
fof(f3248,plain,
( ! [X0] :
( app(X0,sK34) != sK34
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl52_7
| ~ spl52_84 ),
inference(superposition,[],[f1676,f1341]) ).
fof(f3259,plain,
( ~ spl52_7
| spl52_300
| ~ spl52_7
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f3249,f1485,f611,f3257,f611]) ).
fof(f3249,plain,
( ! [X1] :
( sK34 = X1
| ~ ssList(X1)
| ~ ssList(sK34)
| cons(sK36,sK34) != app(X1,sK34) )
| ~ spl52_7
| ~ spl52_96 ),
inference(superposition,[],[f1676,f1487]) ).
fof(f3255,plain,
( ~ spl52_5
| spl52_299
| ~ spl52_7
| ~ spl52_84 ),
inference(avatar_split_clause,[],[f3246,f1339,f611,f3253,f602]) ).
fof(f3246,plain,
( ! [X0] :
( nil = X0
| ~ ssList(nil)
| app(X0,sK34) != sK34
| ~ ssList(X0) )
| ~ spl52_7
| ~ spl52_84 ),
inference(superposition,[],[f1676,f1341]) ).
fof(f3210,plain,
( spl52_298
| ~ spl52_271
| ~ spl52_272 ),
inference(avatar_split_clause,[],[f3194,f2923,f2916,f3207]) ).
fof(f3207,plain,
( spl52_298
<=> memberP(cons(sK36,sK35),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_298])]) ).
fof(f2916,plain,
( spl52_271
<=> memberP(cons(sK36,sK35),sK49(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_271])]) ).
fof(f2923,plain,
( spl52_272
<=> sK36 = sK49(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_272])]) ).
fof(f3194,plain,
( memberP(cons(sK36,sK35),sK36)
| ~ spl52_271
| ~ spl52_272 ),
inference(backward_demodulation,[],[f2918,f2925]) ).
fof(f2925,plain,
( sK36 = sK49(sK35)
| ~ spl52_272 ),
inference(avatar_component_clause,[],[f2923]) ).
fof(f2918,plain,
( memberP(cons(sK36,sK35),sK49(sK35))
| ~ spl52_271 ),
inference(avatar_component_clause,[],[f2916]) ).
fof(f3203,plain,
( spl52_297
| ~ spl52_30
| ~ spl52_272 ),
inference(avatar_split_clause,[],[f3179,f2923,f780,f3200]) ).
fof(f3200,plain,
( spl52_297
<=> sK35 = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_297])]) ).
fof(f780,plain,
( spl52_30
<=> cons(sK49(sK35),sK48(sK35)) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).
fof(f3179,plain,
( sK35 = cons(sK36,sK48(sK35))
| ~ spl52_30
| ~ spl52_272 ),
inference(backward_demodulation,[],[f782,f2925]) ).
fof(f782,plain,
( cons(sK49(sK35),sK48(sK35)) = sK35
| ~ spl52_30 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f3178,plain,
( spl52_296
| ~ spl52_38
| ~ spl52_16
| ~ spl52_273 ),
inference(avatar_split_clause,[],[f3173,f2927,f660,f879,f3175]) ).
fof(f3175,plain,
( spl52_296
<=> app(sK24(sK48(sK35),sK36),cons(sK36,sK25(sK48(sK35),sK36))) = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_296])]) ).
fof(f2927,plain,
( spl52_273
<=> memberP(sK48(sK35),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_273])]) ).
fof(f3173,plain,
( ~ ssList(sK48(sK35))
| app(sK24(sK48(sK35),sK36),cons(sK36,sK25(sK48(sK35),sK36))) = sK48(sK35)
| ~ spl52_16
| ~ spl52_273 ),
inference(resolution,[],[f2929,f956]) ).
fof(f956,plain,
( ! [X2] :
( ~ memberP(X2,sK36)
| ~ ssList(X2)
| app(sK24(X2,sK36),cons(sK36,sK25(X2,sK36))) = X2 )
| ~ spl52_16 ),
inference(resolution,[],[f430,f662]) ).
fof(f430,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ memberP(X0,X1)
| ~ ssList(X0)
| app(sK24(X0,X1),cons(X1,sK25(X0,X1))) = X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f2929,plain,
( memberP(sK48(sK35),sK36)
| ~ spl52_273 ),
inference(avatar_component_clause,[],[f2927]) ).
fof(f3149,plain,
( ~ spl52_162
| ~ spl52_5
| spl52_295
| ~ spl52_189 ),
inference(avatar_split_clause,[],[f3142,f2229,f3147,f602,f2024]) ).
fof(f3147,plain,
( spl52_295
<=> ! [X0] :
( ~ ssItem(X0)
| ~ memberP(sK34,X0)
| memberP(cons(sK36,sK25(sK34,sK36)),X0)
| memberP(nil,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_295])]) ).
fof(f3142,plain,
( ! [X0] :
( ~ ssItem(X0)
| memberP(nil,X0)
| memberP(cons(sK36,sK25(sK34,sK36)),X0)
| ~ ssList(nil)
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| ~ memberP(sK34,X0) )
| ~ spl52_189 ),
inference(superposition,[],[f502,f2231]) ).
fof(f502,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ~ ssList(X1)
| memberP(X1,X0)
| ~ ssList(X2)
| ~ ssItem(X0)
| memberP(X2,X0) ),
inference(cnf_transformation,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X1,X0)
& ~ memberP(X2,X0) ) )
& ( memberP(X1,X0)
| memberP(X2,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax36) ).
fof(f3128,plain,
( spl52_294
| ~ spl52_4
| ~ spl52_80
| ~ spl52_285 ),
inference(avatar_split_clause,[],[f3123,f3055,f1299,f597,f3125]) ).
fof(f3125,plain,
( spl52_294
<=> app(sK24(sK34,sK36),sK34) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_294])]) ).
fof(f3055,plain,
( spl52_285
<=> nil = sK25(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_285])]) ).
fof(f3123,plain,
( app(sK24(sK34,sK36),sK34) = sK34
| ~ spl52_4
| ~ spl52_80
| ~ spl52_285 ),
inference(forward_demodulation,[],[f3099,f599]) ).
fof(f3099,plain,
( app(sK24(sK34,sK36),cons(sK36,nil)) = sK34
| ~ spl52_80
| ~ spl52_285 ),
inference(backward_demodulation,[],[f1301,f3057]) ).
fof(f3057,plain,
( nil = sK25(sK34,sK36)
| ~ spl52_285 ),
inference(avatar_component_clause,[],[f3055]) ).
fof(f3098,plain,
( ~ spl52_162
| ~ spl52_164
| spl52_167
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2267,f1299,f2044,f2031,f2024]) ).
fof(f2044,plain,
( spl52_167
<=> ! [X0] :
( memberP(sK24(sK34,sK36),X0)
| ~ memberP(sK34,X0)
| memberP(cons(sK36,sK25(sK34,sK36)),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).
fof(f2267,plain,
( ! [X0] :
( memberP(cons(sK36,sK25(sK34,sK36)),X0)
| ~ ssItem(X0)
| ~ ssList(sK24(sK34,sK36))
| ~ memberP(sK34,X0)
| memberP(sK24(sK34,sK36),X0)
| ~ ssList(cons(sK36,sK25(sK34,sK36))) )
| ~ spl52_80 ),
inference(superposition,[],[f502,f1301]) ).
fof(f3097,plain,
( ~ spl52_162
| ~ spl52_164
| spl52_165
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2268,f1299,f2036,f2031,f2024]) ).
fof(f2036,plain,
( spl52_165
<=> ! [X1] :
( ~ memberP(cons(sK36,sK25(sK34,sK36)),X1)
| memberP(sK34,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_165])]) ).
fof(f2268,plain,
( ! [X1] :
( memberP(sK34,X1)
| ~ ssList(sK24(sK34,sK36))
| ~ ssItem(X1)
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| ~ memberP(cons(sK36,sK25(sK34,sK36)),X1) )
| ~ spl52_80 ),
inference(superposition,[],[f503,f1301]) ).
fof(f503,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f321]) ).
fof(f3096,plain,
( spl52_293
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3049,f2532,f3093]) ).
fof(f3093,plain,
( spl52_293
<=> sK25(sK34,sK36) = app(app(sK22(sK25(sK34,sK36),sK25(sK34,sK36)),sK25(sK34,sK36)),sK23(sK25(sK34,sK36),sK25(sK34,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_293])]) ).
fof(f2532,plain,
( spl52_234
<=> ssList(sK25(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_234])]) ).
fof(f3049,plain,
( sK25(sK34,sK36) = app(app(sK22(sK25(sK34,sK36),sK25(sK34,sK36)),sK25(sK34,sK36)),sK23(sK25(sK34,sK36),sK25(sK34,sK36)))
| ~ spl52_234 ),
inference(resolution,[],[f2533,f948]) ).
fof(f948,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK22(X0,X0),X0),sK23(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f944]) ).
fof(f944,plain,
! [X0] :
( ~ ssList(X0)
| ~ ssList(X0)
| app(app(sK22(X0,X0),X0),sK23(X0,X0)) = X0
| ~ ssList(X0) ),
inference(resolution,[],[f420,f497]) ).
fof(f2533,plain,
( ssList(sK25(sK34,sK36))
| ~ spl52_234 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f3091,plain,
( spl52_292
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3045,f2532,f3088]) ).
fof(f3088,plain,
( spl52_292
<=> app(nil,sK25(sK34,sK36)) = sK25(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_292])]) ).
fof(f3045,plain,
( app(nil,sK25(sK34,sK36)) = sK25(sK34,sK36)
| ~ spl52_234 ),
inference(resolution,[],[f2533,f510]) ).
fof(f510,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f3086,plain,
( spl52_291
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3044,f2532,f3083]) ).
fof(f3083,plain,
( spl52_291
<=> app(sK25(sK34,sK36),nil) = sK25(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_291])]) ).
fof(f3044,plain,
( app(sK25(sK34,sK36),nil) = sK25(sK34,sK36)
| ~ spl52_234 ),
inference(resolution,[],[f2533,f442]) ).
fof(f442,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f153]) ).
fof(f153,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f3081,plain,
( spl52_285
| spl52_289
| spl52_290
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3048,f2532,f3078,f3074,f3055]) ).
fof(f3074,plain,
( spl52_289
<=> nil = sK48(sK25(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_289])]) ).
fof(f3078,plain,
( spl52_290
<=> cons(sK49(sK48(sK25(sK34,sK36))),sK48(sK48(sK25(sK34,sK36)))) = sK48(sK25(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_290])]) ).
fof(f3048,plain,
( cons(sK49(sK48(sK25(sK34,sK36))),sK48(sK48(sK25(sK34,sK36)))) = sK48(sK25(sK34,sK36))
| nil = sK48(sK25(sK34,sK36))
| nil = sK25(sK34,sK36)
| ~ spl52_234 ),
inference(resolution,[],[f2533,f778]) ).
fof(f778,plain,
! [X10] :
( ~ ssList(X10)
| nil = sK48(X10)
| cons(sK49(sK48(X10)),sK48(sK48(X10))) = sK48(X10)
| nil = X10 ),
inference(resolution,[],[f512,f513]) ).
fof(f513,plain,
! [X0] :
( ssList(sK48(X0))
| ~ ssList(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f324]) ).
fof(f3072,plain,
( spl52_288
| ~ spl52_46
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3050,f2532,f951,f3069]) ).
fof(f3069,plain,
( spl52_288
<=> app(app(sK22(sK25(sK34,sK36),nil),nil),sK23(sK25(sK34,sK36),nil)) = sK25(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_288])]) ).
fof(f951,plain,
( spl52_46
<=> ! [X1] :
( ~ ssList(X1)
| app(app(sK22(X1,nil),nil),sK23(X1,nil)) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f3050,plain,
( app(app(sK22(sK25(sK34,sK36),nil),nil),sK23(sK25(sK34,sK36),nil)) = sK25(sK34,sK36)
| ~ spl52_46
| ~ spl52_234 ),
inference(resolution,[],[f2533,f952]) ).
fof(f952,plain,
( ! [X1] :
( ~ ssList(X1)
| app(app(sK22(X1,nil),nil),sK23(X1,nil)) = X1 )
| ~ spl52_46 ),
inference(avatar_component_clause,[],[f951]) ).
fof(f3067,plain,
( spl52_287
| ~ spl52_4
| ~ spl52_16
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3053,f2532,f660,f597,f3064]) ).
fof(f3064,plain,
( spl52_287
<=> cons(sK36,sK25(sK34,sK36)) = app(sK34,sK25(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_287])]) ).
fof(f3053,plain,
( cons(sK36,sK25(sK34,sK36)) = app(sK34,sK25(sK34,sK36))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_234 ),
inference(resolution,[],[f2533,f1435]) ).
fof(f3062,plain,
( spl52_285
| spl52_286
| ~ spl52_234 ),
inference(avatar_split_clause,[],[f3046,f2532,f3059,f3055]) ).
fof(f3059,plain,
( spl52_286
<=> cons(sK49(sK25(sK34,sK36)),sK48(sK25(sK34,sK36))) = sK25(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_286])]) ).
fof(f3046,plain,
( cons(sK49(sK25(sK34,sK36)),sK48(sK25(sK34,sK36))) = sK25(sK34,sK36)
| nil = sK25(sK34,sK36)
| ~ spl52_234 ),
inference(resolution,[],[f2533,f512]) ).
fof(f3034,plain,
( ~ spl52_16
| ~ spl52_7
| ~ spl52_29
| spl52_234 ),
inference(avatar_split_clause,[],[f3033,f2532,f754,f611,f660]) ).
fof(f754,plain,
( spl52_29
<=> memberP(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f3033,plain,
( ~ memberP(sK34,sK36)
| ~ ssList(sK34)
| ~ ssItem(sK36)
| spl52_234 ),
inference(resolution,[],[f2534,f429]) ).
fof(f2534,plain,
( ~ ssList(sK25(sK34,sK36))
| spl52_234 ),
inference(avatar_component_clause,[],[f2532]) ).
fof(f3020,plain,
( spl52_284
| ~ spl52_277
| ~ spl52_280 ),
inference(avatar_split_clause,[],[f3015,f2972,f2959,f3017]) ).
fof(f3017,plain,
( spl52_284
<=> cons(sK49(sK23(sK35,nil)),nil) = sK23(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_284])]) ).
fof(f2959,plain,
( spl52_277
<=> cons(sK49(sK23(sK35,nil)),sK48(sK23(sK35,nil))) = sK23(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_277])]) ).
fof(f2972,plain,
( spl52_280
<=> nil = sK48(sK23(sK35,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_280])]) ).
fof(f3015,plain,
( cons(sK49(sK23(sK35,nil)),nil) = sK23(sK35,nil)
| ~ spl52_277
| ~ spl52_280 ),
inference(forward_demodulation,[],[f2961,f2974]) ).
fof(f2974,plain,
( nil = sK48(sK23(sK35,nil))
| ~ spl52_280 ),
inference(avatar_component_clause,[],[f2972]) ).
fof(f2961,plain,
( cons(sK49(sK23(sK35,nil)),sK48(sK23(sK35,nil))) = sK23(sK35,nil)
| ~ spl52_277 ),
inference(avatar_component_clause,[],[f2959]) ).
fof(f2999,plain,
( spl52_283
| ~ spl52_111
| ~ spl52_278 ),
inference(avatar_split_clause,[],[f2986,f2963,f1581,f2996]) ).
fof(f2996,plain,
( spl52_283
<=> app(app(sK22(sK35,nil),nil),nil) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_283])]) ).
fof(f1581,plain,
( spl52_111
<=> sK35 = app(app(sK22(sK35,nil),nil),sK23(sK35,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_111])]) ).
fof(f2963,plain,
( spl52_278
<=> nil = sK23(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_278])]) ).
fof(f2986,plain,
( app(app(sK22(sK35,nil),nil),nil) = sK35
| ~ spl52_111
| ~ spl52_278 ),
inference(backward_demodulation,[],[f1583,f2965]) ).
fof(f2965,plain,
( nil = sK23(sK35,nil)
| ~ spl52_278 ),
inference(avatar_component_clause,[],[f2963]) ).
fof(f1583,plain,
( sK35 = app(app(sK22(sK35,nil),nil),sK23(sK35,nil))
| ~ spl52_111 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f2985,plain,
( spl52_282
| ~ spl52_46
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2939,f2388,f951,f2982]) ).
fof(f2982,plain,
( spl52_282
<=> app(app(sK22(sK23(sK35,nil),nil),nil),sK23(sK23(sK35,nil),nil)) = sK23(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_282])]) ).
fof(f2388,plain,
( spl52_211
<=> ssList(sK23(sK35,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).
fof(f2939,plain,
( app(app(sK22(sK23(sK35,nil),nil),nil),sK23(sK23(sK35,nil),nil)) = sK23(sK35,nil)
| ~ spl52_46
| ~ spl52_211 ),
inference(resolution,[],[f2389,f952]) ).
fof(f2389,plain,
( ssList(sK23(sK35,nil))
| ~ spl52_211 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f2980,plain,
( spl52_281
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2938,f2388,f2977]) ).
fof(f2977,plain,
( spl52_281
<=> app(app(sK22(sK23(sK35,nil),sK23(sK35,nil)),sK23(sK35,nil)),sK23(sK23(sK35,nil),sK23(sK35,nil))) = sK23(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_281])]) ).
fof(f2938,plain,
( app(app(sK22(sK23(sK35,nil),sK23(sK35,nil)),sK23(sK35,nil)),sK23(sK23(sK35,nil),sK23(sK35,nil))) = sK23(sK35,nil)
| ~ spl52_211 ),
inference(resolution,[],[f2389,f948]) ).
fof(f2975,plain,
( spl52_279
| spl52_278
| spl52_280
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2937,f2388,f2972,f2963,f2968]) ).
fof(f2968,plain,
( spl52_279
<=> sK48(sK23(sK35,nil)) = cons(sK49(sK48(sK23(sK35,nil))),sK48(sK48(sK23(sK35,nil)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_279])]) ).
fof(f2937,plain,
( nil = sK48(sK23(sK35,nil))
| nil = sK23(sK35,nil)
| sK48(sK23(sK35,nil)) = cons(sK49(sK48(sK23(sK35,nil))),sK48(sK48(sK23(sK35,nil))))
| ~ spl52_211 ),
inference(resolution,[],[f2389,f778]) ).
fof(f2966,plain,
( spl52_277
| spl52_278
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2935,f2388,f2963,f2959]) ).
fof(f2935,plain,
( nil = sK23(sK35,nil)
| cons(sK49(sK23(sK35,nil)),sK48(sK23(sK35,nil))) = sK23(sK35,nil)
| ~ spl52_211 ),
inference(resolution,[],[f2389,f512]) ).
fof(f2957,plain,
( spl52_276
| ~ spl52_4
| ~ spl52_16
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2942,f2388,f660,f597,f2954]) ).
fof(f2954,plain,
( spl52_276
<=> app(sK34,sK23(sK35,nil)) = cons(sK36,sK23(sK35,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_276])]) ).
fof(f2942,plain,
( app(sK34,sK23(sK35,nil)) = cons(sK36,sK23(sK35,nil))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_211 ),
inference(resolution,[],[f2389,f1435]) ).
fof(f2952,plain,
( spl52_275
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2934,f2388,f2949]) ).
fof(f2949,plain,
( spl52_275
<=> app(nil,sK23(sK35,nil)) = sK23(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_275])]) ).
fof(f2934,plain,
( app(nil,sK23(sK35,nil)) = sK23(sK35,nil)
| ~ spl52_211 ),
inference(resolution,[],[f2389,f510]) ).
fof(f2947,plain,
( spl52_274
| ~ spl52_211 ),
inference(avatar_split_clause,[],[f2933,f2388,f2944]) ).
fof(f2944,plain,
( spl52_274
<=> sK23(sK35,nil) = app(sK23(sK35,nil),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_274])]) ).
fof(f2933,plain,
( sK23(sK35,nil) = app(sK23(sK35,nil),nil)
| ~ spl52_211 ),
inference(resolution,[],[f2389,f442]) ).
fof(f2930,plain,
( spl52_272
| ~ spl52_16
| spl52_273
| ~ spl52_9
| ~ spl52_42 ),
inference(avatar_split_clause,[],[f2920,f913,f620,f2927,f660,f2923]) ).
fof(f913,plain,
( spl52_42
<=> ! [X1] :
( memberP(sK48(sK35),X1)
| ~ memberP(sK35,X1)
| ~ ssItem(X1)
| sK49(sK35) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f2920,plain,
( memberP(sK48(sK35),sK36)
| ~ ssItem(sK36)
| sK36 = sK49(sK35)
| ~ spl52_9
| ~ spl52_42 ),
inference(resolution,[],[f914,f622]) ).
fof(f622,plain,
( memberP(sK35,sK36)
| ~ spl52_9 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f914,plain,
( ! [X1] :
( ~ memberP(sK35,X1)
| sK49(sK35) = X1
| memberP(sK48(sK35),X1)
| ~ ssItem(X1) )
| ~ spl52_42 ),
inference(avatar_component_clause,[],[f913]) ).
fof(f2919,plain,
( spl52_271
| ~ spl52_7
| ~ spl52_103
| ~ spl52_51
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f2909,f1480,f1006,f1523,f611,f2916]) ).
fof(f1523,plain,
( spl52_103
<=> ssList(cons(sK36,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f1006,plain,
( spl52_51
<=> ! [X10] :
( memberP(app(X10,sK35),sK49(sK35))
| ~ ssList(X10)
| ~ ssList(app(X10,sK35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f2909,plain,
( ~ ssList(cons(sK36,sK35))
| ~ ssList(sK34)
| memberP(cons(sK36,sK35),sK49(sK35))
| ~ spl52_51
| ~ spl52_95 ),
inference(superposition,[],[f1007,f1482]) ).
fof(f1007,plain,
( ! [X10] :
( ~ ssList(app(X10,sK35))
| ~ ssList(X10)
| memberP(app(X10,sK35),sK49(sK35)) )
| ~ spl52_51 ),
inference(avatar_component_clause,[],[f1006]) ).
fof(f2914,plain,
( spl52_270
| ~ spl52_21
| ~ spl52_51 ),
inference(avatar_split_clause,[],[f2910,f1006,f688,f2912]) ).
fof(f2912,plain,
( spl52_270
<=> ! [X0] :
( memberP(app(X0,sK35),sK49(sK35))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_270])]) ).
fof(f2910,plain,
( ! [X0] :
( ~ ssList(sK35)
| memberP(app(X0,sK35),sK49(sK35))
| ~ ssList(X0) )
| ~ spl52_51 ),
inference(duplicate_literal_removal,[],[f2907]) ).
fof(f2907,plain,
( ! [X0] :
( ~ ssList(X0)
| memberP(app(X0,sK35),sK49(sK35))
| ~ ssList(sK35)
| ~ ssList(X0) )
| ~ spl52_51 ),
inference(resolution,[],[f1007,f340]) ).
fof(f340,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,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/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f2885,plain,
( ~ spl52_21
| spl52_269 ),
inference(avatar_split_clause,[],[f2884,f2880,f688]) ).
fof(f2880,plain,
( spl52_269
<=> segmentP(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_269])]) ).
fof(f2884,plain,
( ~ ssList(sK35)
| spl52_269 ),
inference(resolution,[],[f2882,f533]) ).
fof(f533,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f2882,plain,
( ~ segmentP(sK35,nil)
| spl52_269 ),
inference(avatar_component_clause,[],[f2880]) ).
fof(f2883,plain,
( ~ spl52_269
| ~ spl52_5
| ~ spl52_21
| spl52_211 ),
inference(avatar_split_clause,[],[f2878,f2388,f688,f602,f2880]) ).
fof(f2878,plain,
( ~ ssList(sK35)
| ~ ssList(nil)
| ~ segmentP(sK35,nil)
| spl52_211 ),
inference(resolution,[],[f2390,f421]) ).
fof(f2390,plain,
( ~ ssList(sK23(sK35,nil))
| spl52_211 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f2865,plain,
( spl52_268
| ~ spl52_260
| ~ spl52_261 ),
inference(avatar_split_clause,[],[f2859,f2802,f2797,f2862]) ).
fof(f2862,plain,
( spl52_268
<=> cons(sK49(sK23(sK34,nil)),nil) = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_268])]) ).
fof(f2797,plain,
( spl52_260
<=> nil = sK48(sK23(sK34,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_260])]) ).
fof(f2802,plain,
( spl52_261
<=> cons(sK49(sK23(sK34,nil)),sK48(sK23(sK34,nil))) = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_261])]) ).
fof(f2859,plain,
( cons(sK49(sK23(sK34,nil)),nil) = sK23(sK34,nil)
| ~ spl52_260
| ~ spl52_261 ),
inference(backward_demodulation,[],[f2804,f2799]) ).
fof(f2799,plain,
( nil = sK48(sK23(sK34,nil))
| ~ spl52_260 ),
inference(avatar_component_clause,[],[f2797]) ).
fof(f2804,plain,
( cons(sK49(sK23(sK34,nil)),sK48(sK23(sK34,nil))) = sK23(sK34,nil)
| ~ spl52_261 ),
inference(avatar_component_clause,[],[f2802]) ).
fof(f2850,plain,
( spl52_267
| ~ spl52_110
| ~ spl52_259 ),
inference(avatar_split_clause,[],[f2831,f2793,f1576,f2847]) ).
fof(f2847,plain,
( spl52_267
<=> app(app(sK22(sK34,nil),nil),nil) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_267])]) ).
fof(f1576,plain,
( spl52_110
<=> app(app(sK22(sK34,nil),nil),sK23(sK34,nil)) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).
fof(f2793,plain,
( spl52_259
<=> nil = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_259])]) ).
fof(f2831,plain,
( app(app(sK22(sK34,nil),nil),nil) = sK34
| ~ spl52_110
| ~ spl52_259 ),
inference(backward_demodulation,[],[f1578,f2795]) ).
fof(f2795,plain,
( nil = sK23(sK34,nil)
| ~ spl52_259 ),
inference(avatar_component_clause,[],[f2793]) ).
fof(f1578,plain,
( app(app(sK22(sK34,nil),nil),sK23(sK34,nil)) = sK34
| ~ spl52_110 ),
inference(avatar_component_clause,[],[f1576]) ).
fof(f2830,plain,
( spl52_266
| ~ spl52_4
| ~ spl52_16
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2787,f2358,f660,f597,f2827]) ).
fof(f2827,plain,
( spl52_266
<=> cons(sK36,sK23(sK34,nil)) = app(sK34,sK23(sK34,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_266])]) ).
fof(f2358,plain,
( spl52_205
<=> ssList(sK23(sK34,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).
fof(f2787,plain,
( cons(sK36,sK23(sK34,nil)) = app(sK34,sK23(sK34,nil))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_205 ),
inference(resolution,[],[f2359,f1435]) ).
fof(f2359,plain,
( ssList(sK23(sK34,nil))
| ~ spl52_205 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2825,plain,
( spl52_265
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2783,f2358,f2822]) ).
fof(f2822,plain,
( spl52_265
<=> app(app(sK22(sK23(sK34,nil),sK23(sK34,nil)),sK23(sK34,nil)),sK23(sK23(sK34,nil),sK23(sK34,nil))) = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_265])]) ).
fof(f2783,plain,
( app(app(sK22(sK23(sK34,nil),sK23(sK34,nil)),sK23(sK34,nil)),sK23(sK23(sK34,nil),sK23(sK34,nil))) = sK23(sK34,nil)
| ~ spl52_205 ),
inference(resolution,[],[f2359,f948]) ).
fof(f2820,plain,
( spl52_264
| ~ spl52_46
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2784,f2358,f951,f2817]) ).
fof(f2817,plain,
( spl52_264
<=> app(app(sK22(sK23(sK34,nil),nil),nil),sK23(sK23(sK34,nil),nil)) = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_264])]) ).
fof(f2784,plain,
( app(app(sK22(sK23(sK34,nil),nil),nil),sK23(sK23(sK34,nil),nil)) = sK23(sK34,nil)
| ~ spl52_46
| ~ spl52_205 ),
inference(resolution,[],[f2359,f952]) ).
fof(f2815,plain,
( spl52_263
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2778,f2358,f2812]) ).
fof(f2812,plain,
( spl52_263
<=> app(sK23(sK34,nil),nil) = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_263])]) ).
fof(f2778,plain,
( app(sK23(sK34,nil),nil) = sK23(sK34,nil)
| ~ spl52_205 ),
inference(resolution,[],[f2359,f442]) ).
fof(f2810,plain,
( spl52_262
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2779,f2358,f2807]) ).
fof(f2807,plain,
( spl52_262
<=> app(nil,sK23(sK34,nil)) = sK23(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_262])]) ).
fof(f2779,plain,
( app(nil,sK23(sK34,nil)) = sK23(sK34,nil)
| ~ spl52_205 ),
inference(resolution,[],[f2359,f510]) ).
fof(f2805,plain,
( spl52_259
| spl52_261
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2780,f2358,f2802,f2793]) ).
fof(f2780,plain,
( cons(sK49(sK23(sK34,nil)),sK48(sK23(sK34,nil))) = sK23(sK34,nil)
| nil = sK23(sK34,nil)
| ~ spl52_205 ),
inference(resolution,[],[f2359,f512]) ).
fof(f2800,plain,
( spl52_258
| spl52_259
| spl52_260
| ~ spl52_205 ),
inference(avatar_split_clause,[],[f2782,f2358,f2797,f2793,f2789]) ).
fof(f2789,plain,
( spl52_258
<=> cons(sK49(sK48(sK23(sK34,nil))),sK48(sK48(sK23(sK34,nil)))) = sK48(sK23(sK34,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_258])]) ).
fof(f2782,plain,
( nil = sK48(sK23(sK34,nil))
| nil = sK23(sK34,nil)
| cons(sK49(sK48(sK23(sK34,nil))),sK48(sK48(sK23(sK34,nil)))) = sK48(sK23(sK34,nil))
| ~ spl52_205 ),
inference(resolution,[],[f2359,f778]) ).
fof(f2775,plain,
( ~ spl52_5
| ~ spl52_233
| ~ spl52_7
| spl52_205 ),
inference(avatar_split_clause,[],[f2774,f2358,f611,f2528,f602]) ).
fof(f2528,plain,
( spl52_233
<=> segmentP(sK34,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_233])]) ).
fof(f2774,plain,
( ~ ssList(sK34)
| ~ segmentP(sK34,nil)
| ~ ssList(nil)
| spl52_205 ),
inference(resolution,[],[f2360,f421]) ).
fof(f2360,plain,
( ~ ssList(sK23(sK34,nil))
| spl52_205 ),
inference(avatar_component_clause,[],[f2358]) ).
fof(f2754,plain,
( spl52_257
| ~ spl52_94
| ~ spl52_249 ),
inference(avatar_split_clause,[],[f2734,f2696,f1463,f2751]) ).
fof(f2751,plain,
( spl52_257
<=> app(app(sK22(sK35,sK35),sK35),nil) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_257])]) ).
fof(f1463,plain,
( spl52_94
<=> sK35 = app(app(sK22(sK35,sK35),sK35),sK23(sK35,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f2696,plain,
( spl52_249
<=> nil = sK23(sK35,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_249])]) ).
fof(f2734,plain,
( app(app(sK22(sK35,sK35),sK35),nil) = sK35
| ~ spl52_94
| ~ spl52_249 ),
inference(backward_demodulation,[],[f1465,f2698]) ).
fof(f2698,plain,
( nil = sK23(sK35,sK35)
| ~ spl52_249 ),
inference(avatar_component_clause,[],[f2696]) ).
fof(f1465,plain,
( sK35 = app(app(sK22(sK35,sK35),sK35),sK23(sK35,sK35))
| ~ spl52_94 ),
inference(avatar_component_clause,[],[f1463]) ).
fof(f2733,plain,
( spl52_256
| ~ spl52_46
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2687,f2316,f951,f2730]) ).
fof(f2730,plain,
( spl52_256
<=> sK23(sK35,sK35) = app(app(sK22(sK23(sK35,sK35),nil),nil),sK23(sK23(sK35,sK35),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_256])]) ).
fof(f2316,plain,
( spl52_197
<=> ssList(sK23(sK35,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_197])]) ).
fof(f2687,plain,
( sK23(sK35,sK35) = app(app(sK22(sK23(sK35,sK35),nil),nil),sK23(sK23(sK35,sK35),nil))
| ~ spl52_46
| ~ spl52_197 ),
inference(resolution,[],[f2317,f952]) ).
fof(f2317,plain,
( ssList(sK23(sK35,sK35))
| ~ spl52_197 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f2728,plain,
( spl52_255
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2682,f2316,f2725]) ).
fof(f2725,plain,
( spl52_255
<=> sK23(sK35,sK35) = app(nil,sK23(sK35,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_255])]) ).
fof(f2682,plain,
( sK23(sK35,sK35) = app(nil,sK23(sK35,sK35))
| ~ spl52_197 ),
inference(resolution,[],[f2317,f510]) ).
fof(f2723,plain,
( spl52_254
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2686,f2316,f2720]) ).
fof(f2720,plain,
( spl52_254
<=> app(app(sK22(sK23(sK35,sK35),sK23(sK35,sK35)),sK23(sK35,sK35)),sK23(sK23(sK35,sK35),sK23(sK35,sK35))) = sK23(sK35,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_254])]) ).
fof(f2686,plain,
( app(app(sK22(sK23(sK35,sK35),sK23(sK35,sK35)),sK23(sK35,sK35)),sK23(sK23(sK35,sK35),sK23(sK35,sK35))) = sK23(sK35,sK35)
| ~ spl52_197 ),
inference(resolution,[],[f2317,f948]) ).
fof(f2718,plain,
( spl52_253
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2681,f2316,f2715]) ).
fof(f2715,plain,
( spl52_253
<=> sK23(sK35,sK35) = app(sK23(sK35,sK35),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_253])]) ).
fof(f2681,plain,
( sK23(sK35,sK35) = app(sK23(sK35,sK35),nil)
| ~ spl52_197 ),
inference(resolution,[],[f2317,f442]) ).
fof(f2713,plain,
( spl52_252
| ~ spl52_4
| ~ spl52_16
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2690,f2316,f660,f597,f2710]) ).
fof(f2710,plain,
( spl52_252
<=> cons(sK36,sK23(sK35,sK35)) = app(sK34,sK23(sK35,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_252])]) ).
fof(f2690,plain,
( cons(sK36,sK23(sK35,sK35)) = app(sK34,sK23(sK35,sK35))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_197 ),
inference(resolution,[],[f2317,f1435]) ).
fof(f2708,plain,
( spl52_250
| spl52_249
| spl52_251
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2685,f2316,f2705,f2696,f2701]) ).
fof(f2701,plain,
( spl52_250
<=> nil = sK48(sK23(sK35,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_250])]) ).
fof(f2705,plain,
( spl52_251
<=> cons(sK49(sK48(sK23(sK35,sK35))),sK48(sK48(sK23(sK35,sK35)))) = sK48(sK23(sK35,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_251])]) ).
fof(f2685,plain,
( cons(sK49(sK48(sK23(sK35,sK35))),sK48(sK48(sK23(sK35,sK35)))) = sK48(sK23(sK35,sK35))
| nil = sK23(sK35,sK35)
| nil = sK48(sK23(sK35,sK35))
| ~ spl52_197 ),
inference(resolution,[],[f2317,f778]) ).
fof(f2699,plain,
( spl52_248
| spl52_249
| ~ spl52_197 ),
inference(avatar_split_clause,[],[f2683,f2316,f2696,f2692]) ).
fof(f2692,plain,
( spl52_248
<=> cons(sK49(sK23(sK35,sK35)),sK48(sK23(sK35,sK35))) = sK23(sK35,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_248])]) ).
fof(f2683,plain,
( nil = sK23(sK35,sK35)
| cons(sK49(sK23(sK35,sK35)),sK48(sK23(sK35,sK35))) = sK23(sK35,sK35)
| ~ spl52_197 ),
inference(resolution,[],[f2317,f512]) ).
fof(f2658,plain,
( ~ spl52_21
| spl52_247 ),
inference(avatar_split_clause,[],[f2657,f2653,f688]) ).
fof(f2653,plain,
( spl52_247
<=> segmentP(sK35,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_247])]) ).
fof(f2657,plain,
( ~ ssList(sK35)
| spl52_247 ),
inference(resolution,[],[f2655,f497]) ).
fof(f2655,plain,
( ~ segmentP(sK35,sK35)
| spl52_247 ),
inference(avatar_component_clause,[],[f2653]) ).
fof(f2656,plain,
( ~ spl52_21
| ~ spl52_247
| spl52_197 ),
inference(avatar_split_clause,[],[f2651,f2316,f2653,f688]) ).
fof(f2651,plain,
( ~ segmentP(sK35,sK35)
| ~ ssList(sK35)
| spl52_197 ),
inference(duplicate_literal_removal,[],[f2650]) ).
fof(f2650,plain,
( ~ ssList(sK35)
| ~ segmentP(sK35,sK35)
| ~ ssList(sK35)
| spl52_197 ),
inference(resolution,[],[f2318,f421]) ).
fof(f2318,plain,
( ~ ssList(sK23(sK35,sK35))
| spl52_197 ),
inference(avatar_component_clause,[],[f2316]) ).
fof(f2636,plain,
( spl52_246
| ~ spl52_240
| ~ spl52_244 ),
inference(avatar_split_clause,[],[f2631,f2599,f2580,f2633]) ).
fof(f2633,plain,
( spl52_246
<=> sK23(sK34,sK34) = cons(sK49(sK23(sK34,sK34)),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_246])]) ).
fof(f2580,plain,
( spl52_240
<=> nil = sK48(sK23(sK34,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_240])]) ).
fof(f2599,plain,
( spl52_244
<=> sK23(sK34,sK34) = cons(sK49(sK23(sK34,sK34)),sK48(sK23(sK34,sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_244])]) ).
fof(f2631,plain,
( sK23(sK34,sK34) = cons(sK49(sK23(sK34,sK34)),nil)
| ~ spl52_240
| ~ spl52_244 ),
inference(backward_demodulation,[],[f2601,f2582]) ).
fof(f2582,plain,
( nil = sK48(sK23(sK34,sK34))
| ~ spl52_240 ),
inference(avatar_component_clause,[],[f2580]) ).
fof(f2601,plain,
( sK23(sK34,sK34) = cons(sK49(sK23(sK34,sK34)),sK48(sK23(sK34,sK34)))
| ~ spl52_244 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f2619,plain,
( spl52_245
| ~ spl52_93
| ~ spl52_241 ),
inference(avatar_split_clause,[],[f2603,f2584,f1458,f2616]) ).
fof(f2616,plain,
( spl52_245
<=> app(app(sK22(sK34,sK34),sK34),nil) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_245])]) ).
fof(f1458,plain,
( spl52_93
<=> app(app(sK22(sK34,sK34),sK34),sK23(sK34,sK34)) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).
fof(f2584,plain,
( spl52_241
<=> nil = sK23(sK34,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_241])]) ).
fof(f2603,plain,
( app(app(sK22(sK34,sK34),sK34),nil) = sK34
| ~ spl52_93
| ~ spl52_241 ),
inference(backward_demodulation,[],[f1460,f2586]) ).
fof(f2586,plain,
( nil = sK23(sK34,sK34)
| ~ spl52_241 ),
inference(avatar_component_clause,[],[f2584]) ).
fof(f1460,plain,
( app(app(sK22(sK34,sK34),sK34),sK23(sK34,sK34)) = sK34
| ~ spl52_93 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f2602,plain,
( spl52_244
| spl52_241
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2552,f2285,f2584,f2599]) ).
fof(f2285,plain,
( spl52_191
<=> ssList(sK23(sK34,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_191])]) ).
fof(f2552,plain,
( nil = sK23(sK34,sK34)
| sK23(sK34,sK34) = cons(sK49(sK23(sK34,sK34)),sK48(sK23(sK34,sK34)))
| ~ spl52_191 ),
inference(resolution,[],[f2286,f512]) ).
fof(f2286,plain,
( ssList(sK23(sK34,sK34))
| ~ spl52_191 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2597,plain,
( spl52_243
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2551,f2285,f2594]) ).
fof(f2594,plain,
( spl52_243
<=> app(nil,sK23(sK34,sK34)) = sK23(sK34,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_243])]) ).
fof(f2551,plain,
( app(nil,sK23(sK34,sK34)) = sK23(sK34,sK34)
| ~ spl52_191 ),
inference(resolution,[],[f2286,f510]) ).
fof(f2592,plain,
( spl52_242
| ~ spl52_4
| ~ spl52_16
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2559,f2285,f660,f597,f2589]) ).
fof(f2589,plain,
( spl52_242
<=> cons(sK36,sK23(sK34,sK34)) = app(sK34,sK23(sK34,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_242])]) ).
fof(f2559,plain,
( cons(sK36,sK23(sK34,sK34)) = app(sK34,sK23(sK34,sK34))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_191 ),
inference(resolution,[],[f2286,f1435]) ).
fof(f2587,plain,
( spl52_239
| spl52_240
| spl52_241
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2554,f2285,f2584,f2580,f2576]) ).
fof(f2576,plain,
( spl52_239
<=> cons(sK49(sK48(sK23(sK34,sK34))),sK48(sK48(sK23(sK34,sK34)))) = sK48(sK23(sK34,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_239])]) ).
fof(f2554,plain,
( nil = sK23(sK34,sK34)
| nil = sK48(sK23(sK34,sK34))
| cons(sK49(sK48(sK23(sK34,sK34))),sK48(sK48(sK23(sK34,sK34)))) = sK48(sK23(sK34,sK34))
| ~ spl52_191 ),
inference(resolution,[],[f2286,f778]) ).
fof(f2574,plain,
( spl52_238
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2550,f2285,f2571]) ).
fof(f2571,plain,
( spl52_238
<=> sK23(sK34,sK34) = app(sK23(sK34,sK34),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_238])]) ).
fof(f2550,plain,
( sK23(sK34,sK34) = app(sK23(sK34,sK34),nil)
| ~ spl52_191 ),
inference(resolution,[],[f2286,f442]) ).
fof(f2569,plain,
( spl52_237
| ~ spl52_46
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2556,f2285,f951,f2566]) ).
fof(f2566,plain,
( spl52_237
<=> sK23(sK34,sK34) = app(app(sK22(sK23(sK34,sK34),nil),nil),sK23(sK23(sK34,sK34),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_237])]) ).
fof(f2556,plain,
( sK23(sK34,sK34) = app(app(sK22(sK23(sK34,sK34),nil),nil),sK23(sK23(sK34,sK34),nil))
| ~ spl52_46
| ~ spl52_191 ),
inference(resolution,[],[f2286,f952]) ).
fof(f2564,plain,
( spl52_236
| ~ spl52_191 ),
inference(avatar_split_clause,[],[f2555,f2285,f2561]) ).
fof(f2561,plain,
( spl52_236
<=> sK23(sK34,sK34) = app(app(sK22(sK23(sK34,sK34),sK23(sK34,sK34)),sK23(sK34,sK34)),sK23(sK23(sK34,sK34),sK23(sK34,sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_236])]) ).
fof(f2555,plain,
( sK23(sK34,sK34) = app(app(sK22(sK23(sK34,sK34),sK23(sK34,sK34)),sK23(sK34,sK34)),sK23(sK23(sK34,sK34),sK23(sK34,sK34)))
| ~ spl52_191 ),
inference(resolution,[],[f2286,f948]) ).
fof(f2541,plain,
( ~ spl52_7
| spl52_233 ),
inference(avatar_split_clause,[],[f2540,f2528,f611]) ).
fof(f2540,plain,
( ~ ssList(sK34)
| spl52_233 ),
inference(resolution,[],[f2529,f533]) ).
fof(f2529,plain,
( ~ segmentP(sK34,nil)
| spl52_233 ),
inference(avatar_component_clause,[],[f2528]) ).
fof(f2539,plain,
( ~ spl52_5
| spl52_235
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49 ),
inference(avatar_split_clause,[],[f2518,f984,f660,f611,f597,f2537,f602]) ).
fof(f2537,plain,
( spl52_235
<=> ! [X0] :
( segmentP(app(X0,sK34),nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_235])]) ).
fof(f984,plain,
( spl52_49
<=> ! [X4,X5,X3] :
( segmentP(app(X3,app(X4,X5)),nil)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f2518,plain,
( ! [X0] :
( segmentP(app(X0,sK34),nil)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49 ),
inference(superposition,[],[f1667,f599]) ).
fof(f1667,plain,
( ! [X28,X29] :
( segmentP(app(X29,cons(sK36,X28)),nil)
| ~ ssList(X28)
| ~ ssList(X29) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49 ),
inference(forward_subsumption_demodulation,[],[f1660,f1435]) ).
fof(f1660,plain,
( ! [X28,X29] :
( ~ ssList(X29)
| segmentP(app(X29,app(sK34,X28)),nil)
| ~ ssList(X28) )
| ~ spl52_7
| ~ spl52_49 ),
inference(resolution,[],[f985,f613]) ).
fof(f985,plain,
( ! [X3,X4,X5] :
( ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X3)
| segmentP(app(X3,app(X4,X5)),nil) )
| ~ spl52_49 ),
inference(avatar_component_clause,[],[f984]) ).
fof(f2535,plain,
( ~ spl52_164
| spl52_233
| ~ spl52_234
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2521,f1299,f984,f660,f611,f597,f2532,f2528,f2031]) ).
fof(f2521,plain,
( ~ ssList(sK25(sK34,sK36))
| segmentP(sK34,nil)
| ~ ssList(sK24(sK34,sK36))
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49
| ~ spl52_80 ),
inference(superposition,[],[f1667,f1301]) ).
fof(f2526,plain,
( ~ spl52_21
| ~ spl52_5
| spl52_232
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2519,f1544,f984,f660,f611,f597,f2523,f602,f688]) ).
fof(f2523,plain,
( spl52_232
<=> segmentP(cons(sK36,sK35),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_232])]) ).
fof(f1544,plain,
( spl52_106
<=> app(nil,cons(sK36,sK35)) = cons(sK36,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).
fof(f2519,plain,
( segmentP(cons(sK36,sK35),nil)
| ~ ssList(nil)
| ~ ssList(sK35)
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_49
| ~ spl52_106 ),
inference(superposition,[],[f1667,f1546]) ).
fof(f1546,plain,
( app(nil,cons(sK36,sK35)) = cons(sK36,sK35)
| ~ spl52_106 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f2511,plain,
( ~ spl52_5
| spl52_231
| ~ spl52_21
| ~ spl52_49
| ~ spl52_82 ),
inference(avatar_split_clause,[],[f2507,f1319,f984,f688,f2509,f602]) ).
fof(f2509,plain,
( spl52_231
<=> ! [X0] :
( segmentP(app(X0,sK35),nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_231])]) ).
fof(f1319,plain,
( spl52_82
<=> app(sK35,nil) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f2507,plain,
( ! [X0] :
( segmentP(app(X0,sK35),nil)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl52_21
| ~ spl52_49
| ~ spl52_82 ),
inference(superposition,[],[f1661,f1321]) ).
fof(f1321,plain,
( app(sK35,nil) = sK35
| ~ spl52_82 ),
inference(avatar_component_clause,[],[f1319]) ).
fof(f1661,plain,
( ! [X31,X30] :
( segmentP(app(X31,app(sK35,X30)),nil)
| ~ ssList(X30)
| ~ ssList(X31) )
| ~ spl52_21
| ~ spl52_49 ),
inference(resolution,[],[f985,f690]) ).
fof(f2500,plain,
( spl52_230
| ~ spl52_7
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2463,f660,f611,f597,f611,f2498]) ).
fof(f2498,plain,
( spl52_230
<=> ! [X13,X14] :
( ~ ssList(app(X13,cons(sK36,X14)))
| ~ segmentP(sK34,app(X13,cons(sK36,X14)))
| app(X13,cons(sK36,X14)) = sK34
| ~ ssList(X14)
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_230])]) ).
fof(f2463,plain,
( ! [X14,X13] :
( ~ ssList(sK34)
| ~ ssList(app(X13,cons(sK36,X14)))
| ~ ssList(X13)
| ~ ssList(X14)
| app(X13,cons(sK36,X14)) = sK34
| ~ segmentP(sK34,app(X13,cons(sK36,X14))) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1649,f417]) ).
fof(f417,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f2496,plain,
( ~ spl52_7
| spl52_229
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2460,f660,f611,f597,f2494,f611]) ).
fof(f2494,plain,
( spl52_229
<=> ! [X5,X4,X7,X6] :
( ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X7)
| ~ ssList(app(X4,cons(sK36,X5)))
| segmentP(app(X6,app(app(X4,cons(sK36,X5)),X7)),sK34)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_229])]) ).
fof(f2460,plain,
( ! [X6,X7,X4,X5] :
( ~ ssList(X5)
| ~ ssList(sK34)
| ~ ssList(X6)
| segmentP(app(X6,app(app(X4,cons(sK36,X5)),X7)),sK34)
| ~ ssList(app(X4,cons(sK36,X5)))
| ~ ssList(X7)
| ~ ssList(X4) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1649,f699]) ).
fof(f2492,plain,
( ~ spl52_7
| spl52_228
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2462,f660,f611,f597,f2490,f611]) ).
fof(f2490,plain,
( spl52_228
<=> ! [X12,X11,X10] :
( ~ ssList(X11)
| ~ ssList(X12)
| ~ segmentP(X12,app(X10,cons(sK36,X11)))
| ~ ssList(X10)
| ~ ssList(app(X10,cons(sK36,X11)))
| segmentP(X12,sK34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_228])]) ).
fof(f2462,plain,
( ! [X10,X11,X12] :
( ~ ssList(X11)
| segmentP(X12,sK34)
| ~ ssList(app(X10,cons(sK36,X11)))
| ~ ssList(X10)
| ~ ssList(sK34)
| ~ segmentP(X12,app(X10,cons(sK36,X11)))
| ~ ssList(X12) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1649,f426]) ).
fof(f2488,plain,
( ~ spl52_7
| spl52_227
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2459,f660,f611,f597,f2486,f611]) ).
fof(f2486,plain,
( spl52_227
<=> ! [X2,X3] :
( ~ ssList(app(X2,cons(sK36,X3)))
| ~ ssList(X3)
| nil = sK22(app(X2,cons(sK36,X3)),sK34)
| ~ ssList(X2)
| sK22(app(X2,cons(sK36,X3)),sK34) = cons(sK49(sK22(app(X2,cons(sK36,X3)),sK34)),sK48(sK22(app(X2,cons(sK36,X3)),sK34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).
fof(f2459,plain,
( ! [X2,X3] :
( ~ ssList(app(X2,cons(sK36,X3)))
| ~ ssList(sK34)
| sK22(app(X2,cons(sK36,X3)),sK34) = cons(sK49(sK22(app(X2,cons(sK36,X3)),sK34)),sK48(sK22(app(X2,cons(sK36,X3)),sK34)))
| ~ ssList(X2)
| nil = sK22(app(X2,cons(sK36,X3)),sK34)
| ~ ssList(X3) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1649,f772]) ).
fof(f2484,plain,
( ~ spl52_5
| spl52_226
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2464,f660,f611,f597,f2482,f602]) ).
fof(f2482,plain,
( spl52_226
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK34),sK34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_226])]) ).
fof(f2464,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(X0,sK34),sK34) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(superposition,[],[f1649,f599]) ).
fof(f2480,plain,
( ~ spl52_5
| ~ spl52_21
| spl52_225
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2465,f1544,f660,f611,f597,f2477,f688,f602]) ).
fof(f2477,plain,
( spl52_225
<=> segmentP(cons(sK36,sK35),sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).
fof(f2465,plain,
( segmentP(cons(sK36,sK35),sK34)
| ~ ssList(sK35)
| ~ ssList(nil)
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16
| ~ spl52_106 ),
inference(superposition,[],[f1649,f1546]) ).
fof(f2475,plain,
( ~ spl52_7
| spl52_224
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2458,f660,f611,f597,f2473,f611]) ).
fof(f2473,plain,
( spl52_224
<=> ! [X0,X1] :
( ~ ssList(X0)
| nil = sK23(app(X0,cons(sK36,X1)),sK34)
| cons(sK49(sK23(app(X0,cons(sK36,X1)),sK34)),sK48(sK23(app(X0,cons(sK36,X1)),sK34))) = sK23(app(X0,cons(sK36,X1)),sK34)
| ~ ssList(app(X0,cons(sK36,X1)))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_224])]) ).
fof(f2458,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(app(X0,cons(sK36,X1)))
| ~ ssList(sK34)
| cons(sK49(sK23(app(X0,cons(sK36,X1)),sK34)),sK48(sK23(app(X0,cons(sK36,X1)),sK34))) = sK23(app(X0,cons(sK36,X1)),sK34)
| nil = sK23(app(X0,cons(sK36,X1)),sK34) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1649,f773]) ).
fof(f2471,plain,
( ~ spl52_7
| spl52_223
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f2461,f660,f611,f597,f2469,f611]) ).
fof(f2469,plain,
( spl52_223
<=> ! [X9,X8] :
( ~ ssList(X8)
| ~ ssList(app(X8,cons(sK36,X9)))
| app(X8,cons(sK36,X9)) = app(app(sK22(app(X8,cons(sK36,X9)),sK34),sK34),sK23(app(X8,cons(sK36,X9)),sK34))
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_223])]) ).
fof(f2461,plain,
( ! [X8,X9] :
( ~ ssList(X8)
| ~ ssList(X9)
| app(X8,cons(sK36,X9)) = app(app(sK22(app(X8,cons(sK36,X9)),sK34),sK34),sK23(app(X8,cons(sK36,X9)),sK34))
| ~ ssList(app(X8,cons(sK36,X9)))
| ~ ssList(sK34) )
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1649,f420]) ).
fof(f2457,plain,
( spl52_222
| ~ spl52_21
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f2422,f688,f688,f2455]) ).
fof(f2455,plain,
( spl52_222
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(X0,app(sK35,X1)))
| nil = sK23(app(X0,app(sK35,X1)),sK35)
| ~ ssList(X1)
| cons(sK49(sK23(app(X0,app(sK35,X1)),sK35)),sK48(sK23(app(X0,app(sK35,X1)),sK35))) = sK23(app(X0,app(sK35,X1)),sK35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_222])]) ).
fof(f2422,plain,
( ! [X0,X1] :
( ~ ssList(sK35)
| ~ ssList(X0)
| cons(sK49(sK23(app(X0,app(sK35,X1)),sK35)),sK48(sK23(app(X0,app(sK35,X1)),sK35))) = sK23(app(X0,app(sK35,X1)),sK35)
| ~ ssList(X1)
| nil = sK23(app(X0,app(sK35,X1)),sK35)
| ~ ssList(app(X0,app(sK35,X1))) )
| ~ spl52_21 ),
inference(resolution,[],[f1645,f773]) ).
fof(f1645,plain,
( ! [X31,X30] :
( segmentP(app(X31,app(sK35,X30)),sK35)
| ~ ssList(X31)
| ~ ssList(X30) )
| ~ spl52_21 ),
inference(resolution,[],[f982,f690]) ).
fof(f2453,plain,
( spl52_221
| ~ spl52_21
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f2449,f688,f688,f2451]) ).
fof(f2451,plain,
( spl52_221
<=> ! [X5,X4,X7,X6] :
( ~ ssList(app(X4,app(sK35,X5)))
| ~ ssList(X7)
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(X6)
| segmentP(app(X6,app(X4,app(sK35,app(X5,X7)))),sK35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_221])]) ).
fof(f2449,plain,
( ! [X6,X7,X4,X5] :
( ~ ssList(sK35)
| ~ ssList(app(X4,app(sK35,X5)))
| segmentP(app(X6,app(X4,app(sK35,app(X5,X7)))),sK35)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X7) )
| ~ spl52_21 ),
inference(forward_subsumption_demodulation,[],[f2424,f1826]) ).
fof(f1826,plain,
! [X10,X11,X8,X9] :
( ~ ssList(X11)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssList(X10)
| app(X9,app(X10,app(X11,X8))) = app(app(X9,app(X10,X11)),X8) ),
inference(forward_subsumption_demodulation,[],[f1816,f339]) ).
fof(f1816,plain,
! [X10,X11,X8,X9] :
( ~ ssList(X8)
| ~ ssList(X10)
| ~ ssList(X11)
| app(app(X9,app(X10,X11)),X8) = app(X9,app(app(X10,X11),X8))
| ~ ssList(X9) ),
inference(resolution,[],[f339,f340]) ).
fof(f2424,plain,
( ! [X6,X7,X4,X5] :
( ~ ssList(sK35)
| ~ ssList(X7)
| ~ ssList(X4)
| segmentP(app(X6,app(app(X4,app(sK35,X5)),X7)),sK35)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssList(app(X4,app(sK35,X5))) )
| ~ spl52_21 ),
inference(resolution,[],[f1645,f699]) ).
fof(f2448,plain,
( ~ spl52_21
| spl52_220
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f2427,f688,f2446,f688]) ).
fof(f2446,plain,
( spl52_220
<=> ! [X13,X14] :
( ~ ssList(X13)
| ~ segmentP(sK35,app(X13,app(sK35,X14)))
| ~ ssList(X14)
| sK35 = app(X13,app(sK35,X14))
| ~ ssList(app(X13,app(sK35,X14))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).
fof(f2427,plain,
( ! [X14,X13] :
( ~ ssList(X13)
| ~ ssList(app(X13,app(sK35,X14)))
| sK35 = app(X13,app(sK35,X14))
| ~ ssList(sK35)
| ~ ssList(X14)
| ~ segmentP(sK35,app(X13,app(sK35,X14))) )
| ~ spl52_21 ),
inference(resolution,[],[f1645,f417]) ).
fof(f2444,plain,
( spl52_219
| ~ spl52_21
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f2423,f688,f688,f2442]) ).
fof(f2442,plain,
( spl52_219
<=> ! [X2,X3] :
( ~ ssList(X2)
| nil = sK22(app(X2,app(sK35,X3)),sK35)
| ~ ssList(app(X2,app(sK35,X3)))
| sK22(app(X2,app(sK35,X3)),sK35) = cons(sK49(sK22(app(X2,app(sK35,X3)),sK35)),sK48(sK22(app(X2,app(sK35,X3)),sK35)))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_219])]) ).
fof(f2423,plain,
( ! [X2,X3] :
( ~ ssList(sK35)
| ~ ssList(X2)
| ~ ssList(X3)
| sK22(app(X2,app(sK35,X3)),sK35) = cons(sK49(sK22(app(X2,app(sK35,X3)),sK35)),sK48(sK22(app(X2,app(sK35,X3)),sK35)))
| ~ ssList(app(X2,app(sK35,X3)))
| nil = sK22(app(X2,app(sK35,X3)),sK35) )
| ~ spl52_21 ),
inference(resolution,[],[f1645,f772]) ).
fof(f2440,plain,
( ~ spl52_5
| spl52_218
| ~ spl52_21
| ~ spl52_82 ),
inference(avatar_split_clause,[],[f2428,f1319,f688,f2438,f602]) ).
fof(f2438,plain,
( spl52_218
<=> ! [X0] :
( segmentP(app(X0,sK35),sK35)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).
fof(f2428,plain,
( ! [X0] :
( segmentP(app(X0,sK35),sK35)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl52_21
| ~ spl52_82 ),
inference(superposition,[],[f1645,f1321]) ).
fof(f2436,plain,
( ~ spl52_21
| spl52_217
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f2425,f688,f2434,f688]) ).
fof(f2434,plain,
( spl52_217
<=> ! [X9,X8] :
( app(X8,app(sK35,X9)) = app(app(sK22(app(X8,app(sK35,X9)),sK35),sK35),sK23(app(X8,app(sK35,X9)),sK35))
| ~ ssList(X8)
| ~ ssList(X9)
| ~ ssList(app(X8,app(sK35,X9))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_217])]) ).
fof(f2425,plain,
( ! [X8,X9] :
( app(X8,app(sK35,X9)) = app(app(sK22(app(X8,app(sK35,X9)),sK35),sK35),sK23(app(X8,app(sK35,X9)),sK35))
| ~ ssList(app(X8,app(sK35,X9)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssList(sK35) )
| ~ spl52_21 ),
inference(resolution,[],[f1645,f420]) ).
fof(f2432,plain,
( spl52_216
| ~ spl52_21
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f2426,f688,f688,f2430]) ).
fof(f2430,plain,
( spl52_216
<=> ! [X11,X12,X10] :
( segmentP(X12,sK35)
| ~ ssList(app(X10,app(sK35,X11)))
| ~ segmentP(X12,app(X10,app(sK35,X11)))
| ~ ssList(X10)
| ~ ssList(X12)
| ~ ssList(X11) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).
fof(f2426,plain,
( ! [X10,X11,X12] :
( ~ ssList(sK35)
| segmentP(X12,sK35)
| ~ ssList(X11)
| ~ ssList(X12)
| ~ ssList(X10)
| ~ segmentP(X12,app(X10,app(sK35,X11)))
| ~ ssList(app(X10,app(sK35,X11))) )
| ~ spl52_21 ),
inference(resolution,[],[f1645,f426]) ).
fof(f2409,plain,
( ~ spl52_7
| spl52_203 ),
inference(avatar_split_clause,[],[f2408,f2342,f611]) ).
fof(f2408,plain,
( ~ ssList(sK34)
| spl52_203 ),
inference(resolution,[],[f2344,f497]) ).
fof(f2344,plain,
( ~ segmentP(sK34,sK34)
| spl52_203 ),
inference(avatar_component_clause,[],[f2342]) ).
fof(f2407,plain,
( ~ spl52_211
| ~ spl52_212
| spl52_215
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f2382,f1581,f2405,f2392,f2388]) ).
fof(f2392,plain,
( spl52_212
<=> ssList(app(sK22(sK35,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_212])]) ).
fof(f2405,plain,
( spl52_215
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(sK35,X2)
| ~ memberP(app(sK22(sK35,nil),nil),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).
fof(f2382,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ ssList(app(sK22(sK35,nil),nil))
| ~ ssList(sK23(sK35,nil))
| ~ memberP(app(sK22(sK35,nil),nil),X2)
| memberP(sK35,X2) )
| ~ spl52_111 ),
inference(superposition,[],[f504,f1583]) ).
fof(f504,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f321]) ).
fof(f2403,plain,
( spl52_214
| ~ spl52_212
| ~ spl52_211
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f2383,f1581,f2388,f2392,f2401]) ).
fof(f2401,plain,
( spl52_214
<=> ! [X3] :
( segmentP(app(X3,sK35),app(sK22(sK35,nil),nil))
| ~ ssList(app(X3,sK35))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).
fof(f2383,plain,
( ! [X3] :
( ~ ssList(sK23(sK35,nil))
| ~ ssList(app(sK22(sK35,nil),nil))
| segmentP(app(X3,sK35),app(sK22(sK35,nil),nil))
| ~ ssList(X3)
| ~ ssList(app(X3,sK35)) )
| ~ spl52_111 ),
inference(superposition,[],[f652,f1583]) ).
fof(f2399,plain,
( ~ spl52_212
| ~ spl52_211
| spl52_213
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f2380,f1581,f2397,f2388,f2392]) ).
fof(f2397,plain,
( spl52_213
<=> ! [X0] :
( ~ memberP(sK35,X0)
| memberP(app(sK22(sK35,nil),nil),X0)
| ~ ssItem(X0)
| memberP(sK23(sK35,nil),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_213])]) ).
fof(f2380,plain,
( ! [X0] :
( ~ memberP(sK35,X0)
| memberP(sK23(sK35,nil),X0)
| ~ ssList(sK23(sK35,nil))
| ~ ssList(app(sK22(sK35,nil),nil))
| ~ ssItem(X0)
| memberP(app(sK22(sK35,nil),nil),X0) )
| ~ spl52_111 ),
inference(superposition,[],[f502,f1583]) ).
fof(f2395,plain,
( spl52_210
| ~ spl52_211
| ~ spl52_212
| ~ spl52_111 ),
inference(avatar_split_clause,[],[f2381,f1581,f2392,f2388,f2385]) ).
fof(f2385,plain,
( spl52_210
<=> ! [X1] :
( ~ ssItem(X1)
| ~ memberP(sK23(sK35,nil),X1)
| memberP(sK35,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).
fof(f2381,plain,
( ! [X1] :
( ~ ssList(app(sK22(sK35,nil),nil))
| ~ ssList(sK23(sK35,nil))
| ~ ssItem(X1)
| memberP(sK35,X1)
| ~ memberP(sK23(sK35,nil),X1) )
| ~ spl52_111 ),
inference(superposition,[],[f503,f1583]) ).
fof(f2376,plain,
( ~ spl52_204
| spl52_209
| ~ spl52_205
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2351,f1576,f2358,f2374,f2354]) ).
fof(f2354,plain,
( spl52_204
<=> ssList(app(sK22(sK34,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).
fof(f2374,plain,
( spl52_209
<=> ! [X2] :
( ~ ssItem(X2)
| ~ memberP(app(sK22(sK34,nil),nil),X2)
| memberP(sK34,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).
fof(f2351,plain,
( ! [X2] :
( ~ ssList(sK23(sK34,nil))
| ~ ssItem(X2)
| ~ ssList(app(sK22(sK34,nil),nil))
| memberP(sK34,X2)
| ~ memberP(app(sK22(sK34,nil),nil),X2) )
| ~ spl52_110 ),
inference(superposition,[],[f504,f1578]) ).
fof(f2372,plain,
( ~ spl52_205
| ~ spl52_204
| spl52_208
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2350,f1576,f2370,f2354,f2358]) ).
fof(f2370,plain,
( spl52_208
<=> ! [X1] :
( ~ memberP(sK23(sK34,nil),X1)
| memberP(sK34,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_208])]) ).
fof(f2350,plain,
( ! [X1] :
( ~ memberP(sK23(sK34,nil),X1)
| ~ ssList(app(sK22(sK34,nil),nil))
| ~ ssItem(X1)
| memberP(sK34,X1)
| ~ ssList(sK23(sK34,nil)) )
| ~ spl52_110 ),
inference(superposition,[],[f503,f1578]) ).
fof(f2368,plain,
( ~ spl52_204
| ~ spl52_205
| spl52_207
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2349,f1576,f2366,f2358,f2354]) ).
fof(f2366,plain,
( spl52_207
<=> ! [X0] :
( memberP(app(sK22(sK34,nil),nil),X0)
| memberP(sK23(sK34,nil),X0)
| ~ ssItem(X0)
| ~ memberP(sK34,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).
fof(f2349,plain,
( ! [X0] :
( memberP(app(sK22(sK34,nil),nil),X0)
| ~ memberP(sK34,X0)
| ~ ssItem(X0)
| memberP(sK23(sK34,nil),X0)
| ~ ssList(sK23(sK34,nil))
| ~ ssList(app(sK22(sK34,nil),nil)) )
| ~ spl52_110 ),
inference(superposition,[],[f502,f1578]) ).
fof(f2364,plain,
( ~ spl52_204
| ~ spl52_205
| spl52_206
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2352,f1576,f2362,f2358,f2354]) ).
fof(f2362,plain,
( spl52_206
<=> ! [X3] :
( ~ ssList(X3)
| segmentP(app(X3,sK34),app(sK22(sK34,nil),nil))
| ~ ssList(app(X3,sK34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).
fof(f2352,plain,
( ! [X3] :
( ~ ssList(X3)
| ~ ssList(app(X3,sK34))
| ~ ssList(sK23(sK34,nil))
| ~ ssList(app(sK22(sK34,nil),nil))
| segmentP(app(X3,sK34),app(sK22(sK34,nil),nil)) )
| ~ spl52_110 ),
inference(superposition,[],[f652,f1578]) ).
fof(f2345,plain,
( ~ spl52_7
| ~ spl52_203
| spl52_191 ),
inference(avatar_split_clause,[],[f2340,f2285,f2342,f611]) ).
fof(f2340,plain,
( ~ segmentP(sK34,sK34)
| ~ ssList(sK34)
| spl52_191 ),
inference(duplicate_literal_removal,[],[f2339]) ).
fof(f2339,plain,
( ~ segmentP(sK34,sK34)
| ~ ssList(sK34)
| ~ ssList(sK34)
| spl52_191 ),
inference(resolution,[],[f2287,f421]) ).
fof(f2287,plain,
( ~ ssList(sK23(sK34,sK34))
| spl52_191 ),
inference(avatar_component_clause,[],[f2285]) ).
fof(f2338,plain,
( ~ spl52_197
| ~ spl52_199
| spl52_202
| ~ spl52_94 ),
inference(avatar_split_clause,[],[f2313,f1463,f2336,f2323,f2316]) ).
fof(f2323,plain,
( spl52_199
<=> ssList(app(sK22(sK35,sK35),sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).
fof(f2336,plain,
( spl52_202
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(sK35,X2)
| ~ memberP(app(sK22(sK35,sK35),sK35),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).
fof(f2313,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ memberP(app(sK22(sK35,sK35),sK35),X2)
| ~ ssList(app(sK22(sK35,sK35),sK35))
| ~ ssList(sK23(sK35,sK35))
| memberP(sK35,X2) )
| ~ spl52_94 ),
inference(superposition,[],[f504,f1465]) ).
fof(f2334,plain,
( ~ spl52_197
| ~ spl52_199
| spl52_201
| ~ spl52_94 ),
inference(avatar_split_clause,[],[f2314,f1463,f2332,f2323,f2316]) ).
fof(f2332,plain,
( spl52_201
<=> ! [X3] :
( ~ ssList(app(X3,sK35))
| ~ ssList(X3)
| segmentP(app(X3,sK35),app(sK22(sK35,sK35),sK35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_201])]) ).
fof(f2314,plain,
( ! [X3] :
( ~ ssList(app(X3,sK35))
| segmentP(app(X3,sK35),app(sK22(sK35,sK35),sK35))
| ~ ssList(app(sK22(sK35,sK35),sK35))
| ~ ssList(sK23(sK35,sK35))
| ~ ssList(X3) )
| ~ spl52_94 ),
inference(superposition,[],[f652,f1465]) ).
fof(f2330,plain,
( ~ spl52_197
| spl52_200
| ~ spl52_199
| ~ spl52_94 ),
inference(avatar_split_clause,[],[f2311,f1463,f2323,f2328,f2316]) ).
fof(f2328,plain,
( spl52_200
<=> ! [X0] :
( ~ ssItem(X0)
| memberP(sK23(sK35,sK35),X0)
| ~ memberP(sK35,X0)
| memberP(app(sK22(sK35,sK35),sK35),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_200])]) ).
fof(f2311,plain,
( ! [X0] :
( ~ ssList(app(sK22(sK35,sK35),sK35))
| ~ ssItem(X0)
| memberP(app(sK22(sK35,sK35),sK35),X0)
| ~ memberP(sK35,X0)
| memberP(sK23(sK35,sK35),X0)
| ~ ssList(sK23(sK35,sK35)) )
| ~ spl52_94 ),
inference(superposition,[],[f502,f1465]) ).
fof(f2326,plain,
( ~ spl52_197
| spl52_198
| ~ spl52_199
| ~ spl52_94 ),
inference(avatar_split_clause,[],[f2312,f1463,f2323,f2320,f2316]) ).
fof(f2320,plain,
( spl52_198
<=> ! [X1] :
( memberP(sK35,X1)
| ~ memberP(sK23(sK35,sK35),X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).
fof(f2312,plain,
( ! [X1] :
( ~ ssList(app(sK22(sK35,sK35),sK35))
| memberP(sK35,X1)
| ~ ssList(sK23(sK35,sK35))
| ~ ssItem(X1)
| ~ memberP(sK23(sK35,sK35),X1) )
| ~ spl52_94 ),
inference(superposition,[],[f503,f1465]) ).
fof(f2307,plain,
( ~ spl52_192
| spl52_196
| ~ spl52_191
| ~ spl52_93 ),
inference(avatar_split_clause,[],[f2280,f1458,f2285,f2305,f2289]) ).
fof(f2289,plain,
( spl52_192
<=> ssList(app(sK22(sK34,sK34),sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_192])]) ).
fof(f2305,plain,
( spl52_196
<=> ! [X0] :
( ~ memberP(sK34,X0)
| ~ ssItem(X0)
| memberP(app(sK22(sK34,sK34),sK34),X0)
| memberP(sK23(sK34,sK34),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_196])]) ).
fof(f2280,plain,
( ! [X0] :
( ~ ssList(sK23(sK34,sK34))
| ~ memberP(sK34,X0)
| memberP(sK23(sK34,sK34),X0)
| ~ ssList(app(sK22(sK34,sK34),sK34))
| memberP(app(sK22(sK34,sK34),sK34),X0)
| ~ ssItem(X0) )
| ~ spl52_93 ),
inference(superposition,[],[f502,f1460]) ).
fof(f2303,plain,
( ~ spl52_192
| ~ spl52_191
| spl52_195
| ~ spl52_93 ),
inference(avatar_split_clause,[],[f2282,f1458,f2301,f2285,f2289]) ).
fof(f2301,plain,
( spl52_195
<=> ! [X2] :
( ~ ssItem(X2)
| ~ memberP(app(sK22(sK34,sK34),sK34),X2)
| memberP(sK34,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_195])]) ).
fof(f2282,plain,
( ! [X2] :
( ~ ssItem(X2)
| memberP(sK34,X2)
| ~ memberP(app(sK22(sK34,sK34),sK34),X2)
| ~ ssList(sK23(sK34,sK34))
| ~ ssList(app(sK22(sK34,sK34),sK34)) )
| ~ spl52_93 ),
inference(superposition,[],[f504,f1460]) ).
fof(f2299,plain,
( spl52_194
| ~ spl52_191
| ~ spl52_192
| ~ spl52_93 ),
inference(avatar_split_clause,[],[f2283,f1458,f2289,f2285,f2297]) ).
fof(f2297,plain,
( spl52_194
<=> ! [X3] :
( ~ ssList(app(X3,sK34))
| segmentP(app(X3,sK34),app(sK22(sK34,sK34),sK34))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_194])]) ).
fof(f2283,plain,
( ! [X3] :
( ~ ssList(app(sK22(sK34,sK34),sK34))
| ~ ssList(sK23(sK34,sK34))
| ~ ssList(app(X3,sK34))
| ~ ssList(X3)
| segmentP(app(X3,sK34),app(sK22(sK34,sK34),sK34)) )
| ~ spl52_93 ),
inference(superposition,[],[f652,f1460]) ).
fof(f2295,plain,
( ~ spl52_191
| ~ spl52_192
| spl52_193
| ~ spl52_93 ),
inference(avatar_split_clause,[],[f2281,f1458,f2293,f2289,f2285]) ).
fof(f2293,plain,
( spl52_193
<=> ! [X1] :
( memberP(sK34,X1)
| ~ memberP(sK23(sK34,sK34),X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_193])]) ).
fof(f2281,plain,
( ! [X1] :
( memberP(sK34,X1)
| ~ ssItem(X1)
| ~ ssList(app(sK22(sK34,sK34),sK34))
| ~ memberP(sK23(sK34,sK34),X1)
| ~ ssList(sK23(sK34,sK34)) )
| ~ spl52_93 ),
inference(superposition,[],[f503,f1460]) ).
fof(f2276,plain,
( ~ spl52_16
| ~ spl52_190
| spl52_156 ),
inference(avatar_split_clause,[],[f2271,f1990,f2273,f660]) ).
fof(f2271,plain,
( ~ ssList(sK25(sK35,sK36))
| ~ ssItem(sK36)
| spl52_156 ),
inference(resolution,[],[f1992,f495]) ).
fof(f495,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| ssList(cons(X1,X0)) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f1992,plain,
( ~ ssList(cons(sK36,sK25(sK35,sK36)))
| spl52_156 ),
inference(avatar_component_clause,[],[f1990]) ).
fof(f2232,plain,
( spl52_189
| ~ spl52_80
| ~ spl52_181 ),
inference(avatar_split_clause,[],[f2215,f2178,f1299,f2229]) ).
fof(f2178,plain,
( spl52_181
<=> nil = sK24(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).
fof(f2215,plain,
( app(nil,cons(sK36,sK25(sK34,sK36))) = sK34
| ~ spl52_80
| ~ spl52_181 ),
inference(backward_demodulation,[],[f1301,f2180]) ).
fof(f2180,plain,
( nil = sK24(sK34,sK36)
| ~ spl52_181 ),
inference(avatar_component_clause,[],[f2178]) ).
fof(f2214,plain,
( spl52_188
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2162,f2031,f2211]) ).
fof(f2211,plain,
( spl52_188
<=> sK24(sK34,sK36) = app(sK24(sK34,sK36),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_188])]) ).
fof(f2162,plain,
( sK24(sK34,sK36) = app(sK24(sK34,sK36),nil)
| ~ spl52_164 ),
inference(resolution,[],[f2032,f442]) ).
fof(f2032,plain,
( ssList(sK24(sK34,sK36))
| ~ spl52_164 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f2209,plain,
( spl52_187
| ~ spl52_46
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2168,f2031,f951,f2206]) ).
fof(f2206,plain,
( spl52_187
<=> app(app(sK22(sK24(sK34,sK36),nil),nil),sK23(sK24(sK34,sK36),nil)) = sK24(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_187])]) ).
fof(f2168,plain,
( app(app(sK22(sK24(sK34,sK36),nil),nil),sK23(sK24(sK34,sK36),nil)) = sK24(sK34,sK36)
| ~ spl52_46
| ~ spl52_164 ),
inference(resolution,[],[f2032,f952]) ).
fof(f2204,plain,
( spl52_181
| spl52_186
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2164,f2031,f2201,f2178]) ).
fof(f2201,plain,
( spl52_186
<=> sK24(sK34,sK36) = cons(sK49(sK24(sK34,sK36)),sK48(sK24(sK34,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).
fof(f2164,plain,
( sK24(sK34,sK36) = cons(sK49(sK24(sK34,sK36)),sK48(sK24(sK34,sK36)))
| nil = sK24(sK34,sK36)
| ~ spl52_164 ),
inference(resolution,[],[f2032,f512]) ).
fof(f2199,plain,
( spl52_185
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2163,f2031,f2196]) ).
fof(f2196,plain,
( spl52_185
<=> sK24(sK34,sK36) = app(nil,sK24(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_185])]) ).
fof(f2163,plain,
( sK24(sK34,sK36) = app(nil,sK24(sK34,sK36))
| ~ spl52_164 ),
inference(resolution,[],[f2032,f510]) ).
fof(f2194,plain,
( spl52_184
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2167,f2031,f2191]) ).
fof(f2191,plain,
( spl52_184
<=> app(app(sK22(sK24(sK34,sK36),sK24(sK34,sK36)),sK24(sK34,sK36)),sK23(sK24(sK34,sK36),sK24(sK34,sK36))) = sK24(sK34,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_184])]) ).
fof(f2167,plain,
( app(app(sK22(sK24(sK34,sK36),sK24(sK34,sK36)),sK24(sK34,sK36)),sK23(sK24(sK34,sK36),sK24(sK34,sK36))) = sK24(sK34,sK36)
| ~ spl52_164 ),
inference(resolution,[],[f2032,f948]) ).
fof(f2189,plain,
( spl52_181
| spl52_182
| spl52_183
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2166,f2031,f2186,f2182,f2178]) ).
fof(f2182,plain,
( spl52_182
<=> nil = sK48(sK24(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).
fof(f2186,plain,
( spl52_183
<=> sK48(sK24(sK34,sK36)) = cons(sK49(sK48(sK24(sK34,sK36))),sK48(sK48(sK24(sK34,sK36)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).
fof(f2166,plain,
( sK48(sK24(sK34,sK36)) = cons(sK49(sK48(sK24(sK34,sK36))),sK48(sK48(sK24(sK34,sK36))))
| nil = sK48(sK24(sK34,sK36))
| nil = sK24(sK34,sK36)
| ~ spl52_164 ),
inference(resolution,[],[f2032,f778]) ).
fof(f2176,plain,
( spl52_180
| ~ spl52_4
| ~ spl52_16
| ~ spl52_164 ),
inference(avatar_split_clause,[],[f2171,f2031,f660,f597,f2173]) ).
fof(f2173,plain,
( spl52_180
<=> app(sK34,sK24(sK34,sK36)) = cons(sK36,sK24(sK34,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_180])]) ).
fof(f2171,plain,
( app(sK34,sK24(sK34,sK36)) = cons(sK36,sK24(sK34,sK36))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_164 ),
inference(resolution,[],[f2032,f1435]) ).
fof(f2159,plain,
( ~ spl52_7
| ~ spl52_29
| ~ spl52_16
| spl52_164 ),
inference(avatar_split_clause,[],[f2158,f2031,f660,f754,f611]) ).
fof(f2158,plain,
( ~ ssItem(sK36)
| ~ memberP(sK34,sK36)
| ~ ssList(sK34)
| spl52_164 ),
inference(resolution,[],[f2033,f428]) ).
fof(f428,plain,
! [X0,X1] :
( ssList(sK24(X0,X1))
| ~ ssList(X0)
| ~ memberP(X0,X1)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f2033,plain,
( ~ ssList(sK24(sK34,sK36))
| spl52_164 ),
inference(avatar_component_clause,[],[f2031]) ).
fof(f2144,plain,
( spl52_179
| ~ spl52_172
| ~ spl52_175 ),
inference(avatar_split_clause,[],[f2139,f2093,f2079,f2141]) ).
fof(f2141,plain,
( spl52_179
<=> cons(sK49(sK24(sK35,sK36)),nil) = sK24(sK35,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_179])]) ).
fof(f2079,plain,
( spl52_172
<=> sK24(sK35,sK36) = cons(sK49(sK24(sK35,sK36)),sK48(sK24(sK35,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_172])]) ).
fof(f2093,plain,
( spl52_175
<=> nil = sK48(sK24(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).
fof(f2139,plain,
( cons(sK49(sK24(sK35,sK36)),nil) = sK24(sK35,sK36)
| ~ spl52_172
| ~ spl52_175 ),
inference(backward_demodulation,[],[f2081,f2095]) ).
fof(f2095,plain,
( nil = sK48(sK24(sK35,sK36))
| ~ spl52_175 ),
inference(avatar_component_clause,[],[f2093]) ).
fof(f2081,plain,
( sK24(sK35,sK36) = cons(sK49(sK24(sK35,sK36)),sK48(sK24(sK35,sK36)))
| ~ spl52_172 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2136,plain,
( ~ spl52_178
| ~ spl52_171
| spl52_174 ),
inference(avatar_split_clause,[],[f2131,f2089,f2075,f2133]) ).
fof(f2133,plain,
( spl52_178
<=> cons(sK49(sK48(nil)),sK48(sK48(nil))) = sK48(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_178])]) ).
fof(f2075,plain,
( spl52_171
<=> nil = sK24(sK35,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_171])]) ).
fof(f2089,plain,
( spl52_174
<=> sK48(sK24(sK35,sK36)) = cons(sK49(sK48(sK24(sK35,sK36))),sK48(sK48(sK24(sK35,sK36)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_174])]) ).
fof(f2131,plain,
( cons(sK49(sK48(nil)),sK48(sK48(nil))) != sK48(nil)
| ~ spl52_171
| spl52_174 ),
inference(forward_demodulation,[],[f2090,f2077]) ).
fof(f2077,plain,
( nil = sK24(sK35,sK36)
| ~ spl52_171 ),
inference(avatar_component_clause,[],[f2075]) ).
fof(f2090,plain,
( sK48(sK24(sK35,sK36)) != cons(sK49(sK48(sK24(sK35,sK36))),sK48(sK48(sK24(sK35,sK36))))
| spl52_174 ),
inference(avatar_component_clause,[],[f2089]) ).
fof(f2128,plain,
( ~ spl52_32
| spl52_67
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f1138,f1134,f1130,f797]) ).
fof(f797,plain,
( spl52_32
<=> nil = cons(sK49(nil),sK48(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f1130,plain,
( spl52_67
<=> sK48(sK34) = cons(sK49(sK48(sK34)),sK48(sK48(sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f1134,plain,
( spl52_68
<=> nil = sK48(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f1138,plain,
( nil != cons(sK49(nil),sK48(nil))
| spl52_67
| ~ spl52_68 ),
inference(backward_demodulation,[],[f1131,f1136]) ).
fof(f1136,plain,
( nil = sK48(sK34)
| ~ spl52_68 ),
inference(avatar_component_clause,[],[f1134]) ).
fof(f1131,plain,
( sK48(sK34) != cons(sK49(sK48(sK34)),sK48(sK48(sK34)))
| spl52_67 ),
inference(avatar_component_clause,[],[f1130]) ).
fof(f2122,plain,
( spl52_177
| ~ spl52_78
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f2104,f2075,f1290,f2119]) ).
fof(f2119,plain,
( spl52_177
<=> sK35 = app(nil,cons(sK36,sK25(sK35,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).
fof(f2104,plain,
( sK35 = app(nil,cons(sK36,sK25(sK35,sK36)))
| ~ spl52_78
| ~ spl52_171 ),
inference(backward_demodulation,[],[f1292,f2077]) ).
fof(f2115,plain,
( ~ spl52_32
| ~ spl52_171
| spl52_172 ),
inference(avatar_split_clause,[],[f2112,f2079,f2075,f797]) ).
fof(f2112,plain,
( nil != cons(sK49(nil),sK48(nil))
| ~ spl52_171
| spl52_172 ),
inference(backward_demodulation,[],[f2080,f2077]) ).
fof(f2080,plain,
( sK24(sK35,sK36) != cons(sK49(sK24(sK35,sK36)),sK48(sK24(sK35,sK36)))
| spl52_172 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2103,plain,
( ~ spl52_32
| spl52_67
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f2102,f1134,f1130,f797]) ).
fof(f2102,plain,
( nil != cons(sK49(nil),sK48(nil))
| spl52_67
| ~ spl52_68 ),
inference(forward_demodulation,[],[f1131,f1136]) ).
fof(f2101,plain,
( spl52_176
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2050,f1994,f2098]) ).
fof(f2098,plain,
( spl52_176
<=> sK24(sK35,sK36) = app(nil,sK24(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).
fof(f2050,plain,
( sK24(sK35,sK36) = app(nil,sK24(sK35,sK36))
| ~ spl52_157 ),
inference(resolution,[],[f1995,f510]) ).
fof(f1995,plain,
( ssList(sK24(sK35,sK36))
| ~ spl52_157 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f2096,plain,
( spl52_174
| spl52_171
| spl52_175
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2053,f1994,f2093,f2075,f2089]) ).
fof(f2053,plain,
( nil = sK48(sK24(sK35,sK36))
| nil = sK24(sK35,sK36)
| sK48(sK24(sK35,sK36)) = cons(sK49(sK48(sK24(sK35,sK36))),sK48(sK48(sK24(sK35,sK36))))
| ~ spl52_157 ),
inference(resolution,[],[f1995,f778]) ).
fof(f2087,plain,
( spl52_173
| ~ spl52_46
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2055,f1994,f951,f2084]) ).
fof(f2084,plain,
( spl52_173
<=> sK24(sK35,sK36) = app(app(sK22(sK24(sK35,sK36),nil),nil),sK23(sK24(sK35,sK36),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_173])]) ).
fof(f2055,plain,
( sK24(sK35,sK36) = app(app(sK22(sK24(sK35,sK36),nil),nil),sK23(sK24(sK35,sK36),nil))
| ~ spl52_46
| ~ spl52_157 ),
inference(resolution,[],[f1995,f952]) ).
fof(f2082,plain,
( spl52_171
| spl52_172
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2051,f1994,f2079,f2075]) ).
fof(f2051,plain,
( sK24(sK35,sK36) = cons(sK49(sK24(sK35,sK36)),sK48(sK24(sK35,sK36)))
| nil = sK24(sK35,sK36)
| ~ spl52_157 ),
inference(resolution,[],[f1995,f512]) ).
fof(f2073,plain,
( spl52_170
| ~ spl52_4
| ~ spl52_16
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2058,f1994,f660,f597,f2070]) ).
fof(f2070,plain,
( spl52_170
<=> cons(sK36,sK24(sK35,sK36)) = app(sK34,sK24(sK35,sK36)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_170])]) ).
fof(f2058,plain,
( cons(sK36,sK24(sK35,sK36)) = app(sK34,sK24(sK35,sK36))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_157 ),
inference(resolution,[],[f1995,f1435]) ).
fof(f2068,plain,
( spl52_169
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2049,f1994,f2065]) ).
fof(f2065,plain,
( spl52_169
<=> sK24(sK35,sK36) = app(sK24(sK35,sK36),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_169])]) ).
fof(f2049,plain,
( sK24(sK35,sK36) = app(sK24(sK35,sK36),nil)
| ~ spl52_157 ),
inference(resolution,[],[f1995,f442]) ).
fof(f2063,plain,
( spl52_168
| ~ spl52_157 ),
inference(avatar_split_clause,[],[f2054,f1994,f2060]) ).
fof(f2060,plain,
( spl52_168
<=> sK24(sK35,sK36) = app(app(sK22(sK24(sK35,sK36),sK24(sK35,sK36)),sK24(sK35,sK36)),sK23(sK24(sK35,sK36),sK24(sK35,sK36))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_168])]) ).
fof(f2054,plain,
( sK24(sK35,sK36) = app(app(sK22(sK24(sK35,sK36),sK24(sK35,sK36)),sK24(sK35,sK36)),sK23(sK24(sK35,sK36),sK24(sK35,sK36)))
| ~ spl52_157 ),
inference(resolution,[],[f1995,f948]) ).
fof(f2046,plain,
( ~ spl52_162
| ~ spl52_164
| spl52_167
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2019,f1299,f2044,f2031,f2024]) ).
fof(f2019,plain,
( ! [X0] :
( memberP(sK24(sK34,sK36),X0)
| ~ ssItem(X0)
| memberP(cons(sK36,sK25(sK34,sK36)),X0)
| ~ ssList(sK24(sK34,sK36))
| ~ memberP(sK34,X0)
| ~ ssList(cons(sK36,sK25(sK34,sK36))) )
| ~ spl52_80 ),
inference(superposition,[],[f502,f1301]) ).
fof(f2042,plain,
( ~ spl52_164
| spl52_166
| ~ spl52_162
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2022,f1299,f2024,f2040,f2031]) ).
fof(f2040,plain,
( spl52_166
<=> ! [X3] :
( segmentP(app(X3,sK34),sK24(sK34,sK36))
| ~ ssList(app(X3,sK34))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).
fof(f2022,plain,
( ! [X3] :
( ~ ssList(cons(sK36,sK25(sK34,sK36)))
| segmentP(app(X3,sK34),sK24(sK34,sK36))
| ~ ssList(X3)
| ~ ssList(sK24(sK34,sK36))
| ~ ssList(app(X3,sK34)) )
| ~ spl52_80 ),
inference(superposition,[],[f652,f1301]) ).
fof(f2038,plain,
( ~ spl52_164
| ~ spl52_162
| spl52_165
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2020,f1299,f2036,f2024,f2031]) ).
fof(f2020,plain,
( ! [X1] :
( ~ memberP(cons(sK36,sK25(sK34,sK36)),X1)
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| ~ ssList(sK24(sK34,sK36))
| ~ ssItem(X1)
| memberP(sK34,X1) )
| ~ spl52_80 ),
inference(superposition,[],[f503,f1301]) ).
fof(f2034,plain,
( ~ spl52_162
| spl52_163
| ~ spl52_164
| ~ spl52_80 ),
inference(avatar_split_clause,[],[f2021,f1299,f2031,f2028,f2024]) ).
fof(f2028,plain,
( spl52_163
<=> ! [X2] :
( ~ memberP(sK24(sK34,sK36),X2)
| ~ ssItem(X2)
| memberP(sK34,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_163])]) ).
fof(f2021,plain,
( ! [X2] :
( ~ ssList(sK24(sK34,sK36))
| ~ memberP(sK24(sK34,sK36),X2)
| ~ ssList(cons(sK36,sK25(sK34,sK36)))
| memberP(sK34,X2)
| ~ ssItem(X2) )
| ~ spl52_80 ),
inference(superposition,[],[f504,f1301]) ).
fof(f2014,plain,
( ~ spl52_16
| ~ spl52_21
| ~ spl52_9
| spl52_157 ),
inference(avatar_split_clause,[],[f2013,f1994,f620,f688,f660]) ).
fof(f2013,plain,
( ~ memberP(sK35,sK36)
| ~ ssList(sK35)
| ~ ssItem(sK36)
| spl52_157 ),
inference(resolution,[],[f1996,f428]) ).
fof(f1996,plain,
( ~ ssList(sK24(sK35,sK36))
| spl52_157 ),
inference(avatar_component_clause,[],[f1994]) ).
fof(f2012,plain,
( ~ spl52_157
| ~ spl52_156
| spl52_161
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f1987,f1290,f2010,f1990,f1994]) ).
fof(f2010,plain,
( spl52_161
<=> ! [X2] :
( ~ memberP(sK24(sK35,sK36),X2)
| memberP(sK35,X2)
| ~ ssItem(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).
fof(f1987,plain,
( ! [X2] :
( ~ memberP(sK24(sK35,sK36),X2)
| ~ ssList(cons(sK36,sK25(sK35,sK36)))
| ~ ssItem(X2)
| ~ ssList(sK24(sK35,sK36))
| memberP(sK35,X2) )
| ~ spl52_78 ),
inference(superposition,[],[f504,f1292]) ).
fof(f2008,plain,
( ~ spl52_156
| spl52_160
| ~ spl52_157
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f1986,f1290,f1994,f2006,f1990]) ).
fof(f2006,plain,
( spl52_160
<=> ! [X1] :
( memberP(sK35,X1)
| ~ ssItem(X1)
| ~ memberP(cons(sK36,sK25(sK35,sK36)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_160])]) ).
fof(f1986,plain,
( ! [X1] :
( ~ ssList(sK24(sK35,sK36))
| memberP(sK35,X1)
| ~ ssList(cons(sK36,sK25(sK35,sK36)))
| ~ memberP(cons(sK36,sK25(sK35,sK36)),X1)
| ~ ssItem(X1) )
| ~ spl52_78 ),
inference(superposition,[],[f503,f1292]) ).
fof(f2004,plain,
( ~ spl52_156
| ~ spl52_157
| spl52_159
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f1988,f1290,f2002,f1994,f1990]) ).
fof(f1988,plain,
( ! [X3] :
( ~ ssList(app(X3,sK35))
| ~ ssList(X3)
| segmentP(app(X3,sK35),sK24(sK35,sK36))
| ~ ssList(sK24(sK35,sK36))
| ~ ssList(cons(sK36,sK25(sK35,sK36))) )
| ~ spl52_78 ),
inference(superposition,[],[f652,f1292]) ).
fof(f2000,plain,
( ~ spl52_156
| ~ spl52_157
| spl52_158
| ~ spl52_78 ),
inference(avatar_split_clause,[],[f1985,f1290,f1998,f1994,f1990]) ).
fof(f1998,plain,
( spl52_158
<=> ! [X0] :
( memberP(cons(sK36,sK25(sK35,sK36)),X0)
| ~ ssItem(X0)
| ~ memberP(sK35,X0)
| memberP(sK24(sK35,sK36),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_158])]) ).
fof(f1985,plain,
( ! [X0] :
( memberP(cons(sK36,sK25(sK35,sK36)),X0)
| memberP(sK24(sK35,sK36),X0)
| ~ memberP(sK35,X0)
| ~ ssItem(X0)
| ~ ssList(sK24(sK35,sK36))
| ~ ssList(cons(sK36,sK25(sK35,sK36))) )
| ~ spl52_78 ),
inference(superposition,[],[f502,f1292]) ).
fof(f1980,plain,
( spl52_155
| spl52_8
| ~ spl52_21
| ~ spl52_37 ),
inference(avatar_split_clause,[],[f1975,f875,f688,f616,f1977]) ).
fof(f1977,plain,
( spl52_155
<=> sK35 = app(sK24(sK35,sK49(sK35)),cons(sK49(sK35),sK25(sK35,sK49(sK35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).
fof(f616,plain,
( spl52_8
<=> nil = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f875,plain,
( spl52_37
<=> memberP(sK35,sK49(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f1975,plain,
( ~ ssList(sK35)
| nil = sK35
| sK35 = app(sK24(sK35,sK49(sK35)),cons(sK49(sK35),sK25(sK35,sK49(sK35))))
| ~ spl52_37 ),
inference(duplicate_literal_removal,[],[f1973]) ).
fof(f1973,plain,
( sK35 = app(sK24(sK35,sK49(sK35)),cons(sK49(sK35),sK25(sK35,sK49(sK35))))
| ~ ssList(sK35)
| ~ ssList(sK35)
| nil = sK35
| ~ spl52_37 ),
inference(resolution,[],[f957,f877]) ).
fof(f877,plain,
( memberP(sK35,sK49(sK35))
| ~ spl52_37 ),
inference(avatar_component_clause,[],[f875]) ).
fof(f957,plain,
! [X3,X4] :
( ~ memberP(X3,sK49(X4))
| ~ ssList(X4)
| ~ ssList(X3)
| app(sK24(X3,sK49(X4)),cons(sK49(X4),sK25(X3,sK49(X4)))) = X3
| nil = X4 ),
inference(resolution,[],[f430,f511]) ).
fof(f511,plain,
! [X0] :
( ssItem(sK49(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f1950,plain,
( ~ spl52_5
| spl52_154 ),
inference(avatar_split_clause,[],[f1946,f1948,f602]) ).
fof(f1948,plain,
( spl52_154
<=> ! [X1] :
( nil = sK23(X1,nil)
| sK23(X1,nil) = cons(sK49(sK23(X1,nil)),sK48(sK23(X1,nil)))
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).
fof(f1946,plain,
! [X1] :
( nil = sK23(X1,nil)
| ~ ssList(X1)
| ~ ssList(nil)
| sK23(X1,nil) = cons(sK49(sK23(X1,nil)),sK48(sK23(X1,nil))) ),
inference(duplicate_literal_removal,[],[f1942]) ).
fof(f1942,plain,
! [X1] :
( nil = sK23(X1,nil)
| ~ ssList(X1)
| ~ ssList(X1)
| ~ ssList(nil)
| sK23(X1,nil) = cons(sK49(sK23(X1,nil)),sK48(sK23(X1,nil))) ),
inference(resolution,[],[f773,f533]) ).
fof(f1940,plain,
( ~ spl52_5
| spl52_153 ),
inference(avatar_split_clause,[],[f1934,f1938,f602]) ).
fof(f1938,plain,
( spl52_153
<=> ! [X1] :
( cons(sK49(sK22(X1,nil)),sK48(sK22(X1,nil))) = sK22(X1,nil)
| ~ ssList(X1)
| nil = sK22(X1,nil) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_153])]) ).
fof(f1934,plain,
! [X1] :
( cons(sK49(sK22(X1,nil)),sK48(sK22(X1,nil))) = sK22(X1,nil)
| nil = sK22(X1,nil)
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f1932]) ).
fof(f1932,plain,
! [X1] :
( ~ ssList(X1)
| cons(sK49(sK22(X1,nil)),sK48(sK22(X1,nil))) = sK22(X1,nil)
| ~ ssList(nil)
| ~ ssList(X1)
| nil = sK22(X1,nil) ),
inference(resolution,[],[f772,f533]) ).
fof(f1925,plain,
( spl52_151
| spl52_113
| spl52_152
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1878,f1620,f1922,f1607,f1918]) ).
fof(f1918,plain,
( spl52_151
<=> nil = sK48(cons(sK36,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_151])]) ).
fof(f1607,plain,
( spl52_113
<=> nil = cons(sK36,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_113])]) ).
fof(f1922,plain,
( spl52_152
<=> sK48(cons(sK36,sK34)) = cons(sK49(sK48(cons(sK36,sK34))),sK48(sK48(cons(sK36,sK34)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_152])]) ).
fof(f1620,plain,
( spl52_116
<=> ssList(cons(sK36,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_116])]) ).
fof(f1878,plain,
( sK48(cons(sK36,sK34)) = cons(sK49(sK48(cons(sK36,sK34))),sK48(sK48(cons(sK36,sK34))))
| nil = cons(sK36,sK34)
| nil = sK48(cons(sK36,sK34))
| ~ spl52_116 ),
inference(resolution,[],[f778,f1621]) ).
fof(f1621,plain,
( ssList(cons(sK36,sK34))
| ~ spl52_116 ),
inference(avatar_component_clause,[],[f1620]) ).
fof(f1916,plain,
( spl52_149
| spl52_150
| spl52_137
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1879,f1795,f1804,f1913,f1909]) ).
fof(f1909,plain,
( spl52_149
<=> nil = sK48(cons(sK36,sK48(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).
fof(f1913,plain,
( spl52_150
<=> sK48(cons(sK36,sK48(sK35))) = cons(sK49(sK48(cons(sK36,sK48(sK35)))),sK48(sK48(cons(sK36,sK48(sK35))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).
fof(f1804,plain,
( spl52_137
<=> nil = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_137])]) ).
fof(f1795,plain,
( spl52_135
<=> ssList(cons(sK36,sK48(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_135])]) ).
fof(f1879,plain,
( nil = cons(sK36,sK48(sK35))
| sK48(cons(sK36,sK48(sK35))) = cons(sK49(sK48(cons(sK36,sK48(sK35)))),sK48(sK48(cons(sK36,sK48(sK35)))))
| nil = sK48(cons(sK36,sK48(sK35)))
| ~ spl52_135 ),
inference(resolution,[],[f778,f1797]) ).
fof(f1797,plain,
( ssList(cons(sK36,sK48(sK35)))
| ~ spl52_135 ),
inference(avatar_component_clause,[],[f1795]) ).
fof(f1907,plain,
( spl52_147
| spl52_101
| spl52_148
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1877,f1523,f1904,f1514,f1900]) ).
fof(f1900,plain,
( spl52_147
<=> nil = sK48(cons(sK36,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_147])]) ).
fof(f1514,plain,
( spl52_101
<=> nil = cons(sK36,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f1904,plain,
( spl52_148
<=> sK48(cons(sK36,sK35)) = cons(sK49(sK48(cons(sK36,sK35))),sK48(sK48(cons(sK36,sK35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).
fof(f1877,plain,
( sK48(cons(sK36,sK35)) = cons(sK49(sK48(cons(sK36,sK35))),sK48(sK48(cons(sK36,sK35))))
| nil = cons(sK36,sK35)
| nil = sK48(cons(sK36,sK35))
| ~ spl52_103 ),
inference(resolution,[],[f778,f1525]) ).
fof(f1525,plain,
( ssList(cons(sK36,sK35))
| ~ spl52_103 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1898,plain,
( spl52_145
| spl52_44
| spl52_146
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1889,f879,f1895,f928,f1891]) ).
fof(f1891,plain,
( spl52_145
<=> nil = sK48(sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_145])]) ).
fof(f928,plain,
( spl52_44
<=> nil = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f1895,plain,
( spl52_146
<=> sK48(sK48(sK35)) = cons(sK49(sK48(sK48(sK35))),sK48(sK48(sK48(sK35)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_146])]) ).
fof(f1889,plain,
( sK48(sK48(sK35)) = cons(sK49(sK48(sK48(sK35))),sK48(sK48(sK48(sK35))))
| nil = sK48(sK35)
| nil = sK48(sK48(sK35))
| ~ spl52_38 ),
inference(resolution,[],[f778,f880]) ).
fof(f880,plain,
( ssList(sK48(sK35))
| ~ spl52_38 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f1870,plain,
( spl52_144
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1836,f1795,f1867]) ).
fof(f1867,plain,
( spl52_144
<=> app(app(sK22(cons(sK36,sK48(sK35)),cons(sK36,sK48(sK35))),cons(sK36,sK48(sK35))),sK23(cons(sK36,sK48(sK35)),cons(sK36,sK48(sK35)))) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_144])]) ).
fof(f1836,plain,
( app(app(sK22(cons(sK36,sK48(sK35)),cons(sK36,sK48(sK35))),cons(sK36,sK48(sK35))),sK23(cons(sK36,sK48(sK35)),cons(sK36,sK48(sK35)))) = cons(sK36,sK48(sK35))
| ~ spl52_135 ),
inference(resolution,[],[f1797,f948]) ).
fof(f1865,plain,
( spl52_143
| ~ spl52_4
| ~ spl52_16
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1840,f1795,f660,f597,f1862]) ).
fof(f1862,plain,
( spl52_143
<=> app(sK34,cons(sK36,sK48(sK35))) = cons(sK36,cons(sK36,sK48(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).
fof(f1840,plain,
( app(sK34,cons(sK36,sK48(sK35))) = cons(sK36,cons(sK36,sK48(sK35)))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_135 ),
inference(resolution,[],[f1797,f1435]) ).
fof(f1860,plain,
( spl52_142
| ~ spl52_46
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1837,f1795,f951,f1857]) ).
fof(f1857,plain,
( spl52_142
<=> app(app(sK22(cons(sK36,sK48(sK35)),nil),nil),sK23(cons(sK36,sK48(sK35)),nil)) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).
fof(f1837,plain,
( app(app(sK22(cons(sK36,sK48(sK35)),nil),nil),sK23(cons(sK36,sK48(sK35)),nil)) = cons(sK36,sK48(sK35))
| ~ spl52_46
| ~ spl52_135 ),
inference(resolution,[],[f1797,f952]) ).
fof(f1855,plain,
( spl52_141
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1832,f1795,f1852]) ).
fof(f1852,plain,
( spl52_141
<=> app(cons(sK36,sK48(sK35)),nil) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).
fof(f1832,plain,
( app(cons(sK36,sK48(sK35)),nil) = cons(sK36,sK48(sK35))
| ~ spl52_135 ),
inference(resolution,[],[f1797,f442]) ).
fof(f1850,plain,
( spl52_137
| spl52_140
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1834,f1795,f1847,f1804]) ).
fof(f1847,plain,
( spl52_140
<=> cons(sK49(cons(sK36,sK48(sK35))),sK48(cons(sK36,sK48(sK35)))) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_140])]) ).
fof(f1834,plain,
( cons(sK49(cons(sK36,sK48(sK35))),sK48(cons(sK36,sK48(sK35)))) = cons(sK36,sK48(sK35))
| nil = cons(sK36,sK48(sK35))
| ~ spl52_135 ),
inference(resolution,[],[f1797,f512]) ).
fof(f1845,plain,
( spl52_139
| ~ spl52_135 ),
inference(avatar_split_clause,[],[f1833,f1795,f1842]) ).
fof(f1842,plain,
( spl52_139
<=> app(nil,cons(sK36,sK48(sK35))) = cons(sK36,sK48(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).
fof(f1833,plain,
( app(nil,cons(sK36,sK48(sK35))) = cons(sK36,sK48(sK35))
| ~ spl52_135 ),
inference(resolution,[],[f1797,f510]) ).
fof(f1812,plain,
( ~ spl52_38
| ~ spl52_7
| spl52_138
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f1786,f1490,f1810,f611,f879]) ).
fof(f1810,plain,
( spl52_138
<=> ! [X0] :
( memberP(sK34,X0)
| ~ ssItem(X0)
| ~ memberP(cons(sK36,sK48(sK35)),X0)
| memberP(sK48(sK35),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_138])]) ).
fof(f1786,plain,
( ! [X0] :
( memberP(sK34,X0)
| memberP(sK48(sK35),X0)
| ~ ssList(sK34)
| ~ ssList(sK48(sK35))
| ~ memberP(cons(sK36,sK48(sK35)),X0)
| ~ ssItem(X0) )
| ~ spl52_97 ),
inference(superposition,[],[f502,f1492]) ).
fof(f1808,plain,
( ~ spl52_38
| spl52_1
| ~ spl52_7
| ~ spl52_137
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f1785,f1490,f1804,f611,f584,f879]) ).
fof(f1785,plain,
( nil != cons(sK36,sK48(sK35))
| ~ ssList(sK34)
| nil = sK34
| ~ ssList(sK48(sK35))
| ~ spl52_97 ),
inference(superposition,[],[f416,f1492]) ).
fof(f416,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) )
& ( nil = app(X0,X1)
| nil != X0
| nil != X1 ) ) ) ),
inference(nnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( nil = X0
& nil = X1 )
<=> nil = app(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f1807,plain,
( ~ spl52_7
| ~ spl52_38
| ~ spl52_137
| spl52_44
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f1784,f1490,f928,f1804,f879,f611]) ).
fof(f1784,plain,
( nil = sK48(sK35)
| nil != cons(sK36,sK48(sK35))
| ~ ssList(sK48(sK35))
| ~ ssList(sK34)
| ~ spl52_97 ),
inference(superposition,[],[f415,f1492]) ).
fof(f415,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f1802,plain,
( ~ spl52_7
| ~ spl52_38
| spl52_136
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f1787,f1490,f1800,f879,f611]) ).
fof(f1800,plain,
( spl52_136
<=> ! [X1] :
( ~ ssItem(X1)
| memberP(cons(sK36,sK48(sK35)),X1)
| ~ memberP(sK48(sK35),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_136])]) ).
fof(f1787,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(sK48(sK35))
| ~ memberP(sK48(sK35),X1)
| ~ ssList(sK34)
| memberP(cons(sK36,sK48(sK35)),X1) )
| ~ spl52_97 ),
inference(superposition,[],[f503,f1492]) ).
fof(f1798,plain,
( ~ spl52_7
| spl52_135
| ~ spl52_38
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f1783,f1490,f879,f1795,f611]) ).
fof(f1783,plain,
( ~ ssList(sK48(sK35))
| ssList(cons(sK36,sK48(sK35)))
| ~ ssList(sK34)
| ~ spl52_97 ),
inference(superposition,[],[f340,f1492]) ).
fof(f1793,plain,
( ~ spl52_38
| ~ spl52_7
| spl52_134
| ~ spl52_97 ),
inference(avatar_split_clause,[],[f1788,f1490,f1791,f611,f879]) ).
fof(f1791,plain,
( spl52_134
<=> ! [X2] :
( memberP(cons(sK36,sK48(sK35)),X2)
| ~ ssItem(X2)
| ~ memberP(sK34,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_134])]) ).
fof(f1788,plain,
( ! [X2] :
( memberP(cons(sK36,sK48(sK35)),X2)
| ~ memberP(sK34,X2)
| ~ ssList(sK34)
| ~ ssItem(X2)
| ~ ssList(sK48(sK35)) )
| ~ spl52_97 ),
inference(superposition,[],[f504,f1492]) ).
fof(f1782,plain,
( ~ spl52_116
| spl52_133
| ~ spl52_16
| ~ spl52_115 ),
inference(avatar_split_clause,[],[f1776,f1616,f660,f1779,f1620]) ).
fof(f1779,plain,
( spl52_133
<=> app(sK24(cons(sK36,sK34),sK36),cons(sK36,sK25(cons(sK36,sK34),sK36))) = cons(sK36,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_133])]) ).
fof(f1616,plain,
( spl52_115
<=> memberP(cons(sK36,sK34),sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).
fof(f1776,plain,
( app(sK24(cons(sK36,sK34),sK36),cons(sK36,sK25(cons(sK36,sK34),sK36))) = cons(sK36,sK34)
| ~ ssList(cons(sK36,sK34))
| ~ spl52_16
| ~ spl52_115 ),
inference(resolution,[],[f1618,f956]) ).
fof(f1618,plain,
( memberP(cons(sK36,sK34),sK36)
| ~ spl52_115 ),
inference(avatar_component_clause,[],[f1616]) ).
fof(f1774,plain,
( ~ spl52_15
| spl52_132
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1757,f655,f1772,f655]) ).
fof(f1772,plain,
( spl52_132
<=> ! [X4,X3] :
( ~ ssList(app(X3,X4))
| ~ ssList(X3)
| app(X3,X4) = app(sK24(app(X3,X4),sK1),cons(sK1,sK25(app(X3,X4),sK1)))
| ~ ssList(X4)
| ~ memberP(X3,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).
fof(f655,plain,
( spl52_15
<=> ssItem(sK1) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f1757,plain,
( ! [X3,X4] :
( ~ ssList(app(X3,X4))
| ~ memberP(X3,sK1)
| ~ ssList(X4)
| app(X3,X4) = app(sK24(app(X3,X4),sK1),cons(sK1,sK25(app(X3,X4),sK1)))
| ~ ssList(X3)
| ~ ssItem(sK1) )
| ~ spl52_15 ),
inference(resolution,[],[f955,f504]) ).
fof(f955,plain,
( ! [X1] :
( ~ memberP(X1,sK1)
| ~ ssList(X1)
| app(sK24(X1,sK1),cons(sK1,sK25(X1,sK1))) = X1 )
| ~ spl52_15 ),
inference(resolution,[],[f430,f657]) ).
fof(f657,plain,
( ssItem(sK1)
| ~ spl52_15 ),
inference(avatar_component_clause,[],[f655]) ).
fof(f1770,plain,
( ~ spl52_15
| spl52_131
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1755,f655,f1768,f655]) ).
fof(f1768,plain,
( spl52_131
<=> ! [X0] :
( ~ ssList(X0)
| ~ ssList(cons(sK1,X0))
| app(sK24(cons(sK1,X0),sK1),cons(sK1,sK25(cons(sK1,X0),sK1))) = cons(sK1,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).
fof(f1755,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK24(cons(sK1,X0),sK1),cons(sK1,sK25(cons(sK1,X0),sK1))) = cons(sK1,X0)
| ~ ssList(cons(sK1,X0))
| ~ ssItem(sK1) )
| ~ spl52_15 ),
inference(resolution,[],[f955,f577]) ).
fof(f577,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f553]) ).
fof(f553,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f359]) ).
fof(f359,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X0)
| X0 != X1 ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(flattening,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( ( memberP(cons(X1,X2),X0)
| ( X0 != X1
& ~ memberP(X2,X0) ) )
& ( X0 = X1
| memberP(X2,X0)
| ~ memberP(cons(X1,X2),X0) ) ) ) ) ),
inference(nnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ~ ssList(X2)
| ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f1766,plain,
( ~ spl52_15
| spl52_130
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1758,f655,f1764,f655]) ).
fof(f1764,plain,
( spl52_130
<=> ! [X6,X5] :
( ~ ssList(app(X5,X6))
| app(X5,X6) = app(sK24(app(X5,X6),sK1),cons(sK1,sK25(app(X5,X6),sK1)))
| ~ ssList(X6)
| ~ ssList(X5)
| ~ memberP(X6,sK1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).
fof(f1758,plain,
( ! [X6,X5] :
( ~ ssList(app(X5,X6))
| ~ memberP(X6,sK1)
| ~ ssList(X5)
| ~ ssList(X6)
| ~ ssItem(sK1)
| app(X5,X6) = app(sK24(app(X5,X6),sK1),cons(sK1,sK25(app(X5,X6),sK1))) )
| ~ spl52_15 ),
inference(resolution,[],[f955,f503]) ).
fof(f1762,plain,
( spl52_129
| ~ spl52_15
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1756,f655,f655,f1760]) ).
fof(f1760,plain,
( spl52_129
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,sK1)
| ~ ssList(cons(X1,X2))
| cons(X1,X2) = app(sK24(cons(X1,X2),sK1),cons(sK1,sK25(cons(X1,X2),sK1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_129])]) ).
fof(f1756,plain,
( ! [X2,X1] :
( ~ ssItem(sK1)
| ~ ssItem(X1)
| cons(X1,X2) = app(sK24(cons(X1,X2),sK1),cons(sK1,sK25(cons(X1,X2),sK1)))
| ~ ssList(cons(X1,X2))
| ~ memberP(X2,sK1)
| ~ ssList(X2) )
| ~ spl52_15 ),
inference(resolution,[],[f955,f358]) ).
fof(f358,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ memberP(X2,X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f1754,plain,
( ~ spl52_22
| spl52_128
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1738,f695,f1752,f695]) ).
fof(f1752,plain,
( spl52_128
<=> ! [X6,X5] :
( ~ memberP(X6,sK0)
| ~ ssList(app(X5,X6))
| ~ ssList(X5)
| app(sK24(app(X5,X6),sK0),cons(sK0,sK25(app(X5,X6),sK0))) = app(X5,X6)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_128])]) ).
fof(f695,plain,
( spl52_22
<=> ssItem(sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f1738,plain,
( ! [X6,X5] :
( ~ memberP(X6,sK0)
| ~ ssList(X6)
| app(sK24(app(X5,X6),sK0),cons(sK0,sK25(app(X5,X6),sK0))) = app(X5,X6)
| ~ ssItem(sK0)
| ~ ssList(X5)
| ~ ssList(app(X5,X6)) )
| ~ spl52_22 ),
inference(resolution,[],[f954,f503]) ).
fof(f954,plain,
( ! [X0] :
( ~ memberP(X0,sK0)
| app(sK24(X0,sK0),cons(sK0,sK25(X0,sK0))) = X0
| ~ ssList(X0) )
| ~ spl52_22 ),
inference(resolution,[],[f430,f697]) ).
fof(f697,plain,
( ssItem(sK0)
| ~ spl52_22 ),
inference(avatar_component_clause,[],[f695]) ).
fof(f1750,plain,
( ~ spl52_22
| spl52_127
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1737,f695,f1748,f695]) ).
fof(f1748,plain,
( spl52_127
<=> ! [X4,X3] :
( ~ ssList(X3)
| ~ memberP(X3,sK0)
| app(X3,X4) = app(sK24(app(X3,X4),sK0),cons(sK0,sK25(app(X3,X4),sK0)))
| ~ ssList(app(X3,X4))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).
fof(f1737,plain,
( ! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| ~ ssList(app(X3,X4))
| ~ ssItem(sK0)
| app(X3,X4) = app(sK24(app(X3,X4),sK0),cons(sK0,sK25(app(X3,X4),sK0)))
| ~ memberP(X3,sK0) )
| ~ spl52_22 ),
inference(resolution,[],[f954,f504]) ).
fof(f1746,plain,
( ~ spl52_22
| spl52_126
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1736,f695,f1744,f695]) ).
fof(f1744,plain,
( spl52_126
<=> ! [X2,X1] :
( ~ ssList(cons(X1,X2))
| cons(X1,X2) = app(sK24(cons(X1,X2),sK0),cons(sK0,sK25(cons(X1,X2),sK0)))
| ~ memberP(X2,sK0)
| ~ ssList(X2)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).
fof(f1736,plain,
( ! [X2,X1] :
( ~ ssList(cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,sK0)
| ~ ssItem(sK0)
| cons(X1,X2) = app(sK24(cons(X1,X2),sK0),cons(sK0,sK25(cons(X1,X2),sK0))) )
| ~ spl52_22 ),
inference(resolution,[],[f954,f358]) ).
fof(f1742,plain,
( spl52_125
| ~ spl52_22
| ~ spl52_22 ),
inference(avatar_split_clause,[],[f1735,f695,f695,f1740]) ).
fof(f1740,plain,
( spl52_125
<=> ! [X0] :
( cons(sK0,X0) = app(sK24(cons(sK0,X0),sK0),cons(sK0,sK25(cons(sK0,X0),sK0)))
| ~ ssList(cons(sK0,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_125])]) ).
fof(f1735,plain,
( ! [X0] :
( ~ ssItem(sK0)
| cons(sK0,X0) = app(sK24(cons(sK0,X0),sK0),cons(sK0,sK25(cons(sK0,X0),sK0)))
| ~ ssList(X0)
| ~ ssList(cons(sK0,X0)) )
| ~ spl52_22 ),
inference(resolution,[],[f954,f577]) ).
fof(f1734,plain,
( spl52_124
| ~ spl52_4
| ~ spl52_16
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1704,f1620,f660,f597,f1731]) ).
fof(f1731,plain,
( spl52_124
<=> cons(sK36,cons(sK36,sK34)) = app(sK34,cons(sK36,sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).
fof(f1704,plain,
( cons(sK36,cons(sK36,sK34)) = app(sK34,cons(sK36,sK34))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_116 ),
inference(resolution,[],[f1621,f1435]) ).
fof(f1729,plain,
( spl52_113
| spl52_123
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1698,f1620,f1726,f1607]) ).
fof(f1726,plain,
( spl52_123
<=> cons(sK36,sK34) = cons(sK49(cons(sK36,sK34)),sK48(cons(sK36,sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).
fof(f1698,plain,
( cons(sK36,sK34) = cons(sK49(cons(sK36,sK34)),sK48(cons(sK36,sK34)))
| nil = cons(sK36,sK34)
| ~ spl52_116 ),
inference(resolution,[],[f1621,f512]) ).
fof(f1724,plain,
( spl52_122
| ~ spl52_46
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1701,f1620,f951,f1721]) ).
fof(f1721,plain,
( spl52_122
<=> cons(sK36,sK34) = app(app(sK22(cons(sK36,sK34),nil),nil),sK23(cons(sK36,sK34),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).
fof(f1701,plain,
( cons(sK36,sK34) = app(app(sK22(cons(sK36,sK34),nil),nil),sK23(cons(sK36,sK34),nil))
| ~ spl52_46
| ~ spl52_116 ),
inference(resolution,[],[f1621,f952]) ).
fof(f1719,plain,
( spl52_121
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1696,f1620,f1716]) ).
fof(f1716,plain,
( spl52_121
<=> cons(sK36,sK34) = app(cons(sK36,sK34),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).
fof(f1696,plain,
( cons(sK36,sK34) = app(cons(sK36,sK34),nil)
| ~ spl52_116 ),
inference(resolution,[],[f1621,f442]) ).
fof(f1714,plain,
( spl52_120
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1700,f1620,f1711]) ).
fof(f1711,plain,
( spl52_120
<=> cons(sK36,sK34) = app(app(sK22(cons(sK36,sK34),cons(sK36,sK34)),cons(sK36,sK34)),sK23(cons(sK36,sK34),cons(sK36,sK34))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_120])]) ).
fof(f1700,plain,
( cons(sK36,sK34) = app(app(sK22(cons(sK36,sK34),cons(sK36,sK34)),cons(sK36,sK34)),sK23(cons(sK36,sK34),cons(sK36,sK34)))
| ~ spl52_116 ),
inference(resolution,[],[f1621,f948]) ).
fof(f1709,plain,
( spl52_119
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1697,f1620,f1706]) ).
fof(f1706,plain,
( spl52_119
<=> app(nil,cons(sK36,sK34)) = cons(sK36,sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_119])]) ).
fof(f1697,plain,
( app(nil,cons(sK36,sK34)) = cons(sK36,sK34)
| ~ spl52_116 ),
inference(resolution,[],[f1621,f510]) ).
fof(f1635,plain,
( ~ spl52_7
| spl52_117
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1599,f1485,f1626,f611]) ).
fof(f1626,plain,
( spl52_117
<=> ! [X1] :
( memberP(cons(sK36,sK34),X1)
| ~ ssItem(X1)
| ~ memberP(sK34,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_117])]) ).
fof(f1599,plain,
( ! [X2] :
( ~ memberP(sK34,X2)
| memberP(cons(sK36,sK34),X2)
| ~ ssList(sK34)
| ~ ssItem(X2) )
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1597]) ).
fof(f1597,plain,
( ! [X2] :
( memberP(cons(sK36,sK34),X2)
| ~ ssItem(X2)
| ~ memberP(sK34,X2)
| ~ ssList(sK34)
| ~ ssList(sK34) )
| ~ spl52_96 ),
inference(superposition,[],[f504,f1487]) ).
fof(f1634,plain,
( ~ spl52_7
| spl52_118
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1600,f1485,f1632,f611]) ).
fof(f1632,plain,
( spl52_118
<=> ! [X0] :
( ~ memberP(cons(sK36,sK34),X0)
| ~ ssItem(X0)
| memberP(sK34,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_118])]) ).
fof(f1600,plain,
( ! [X0] :
( ~ memberP(cons(sK36,sK34),X0)
| ~ ssList(sK34)
| memberP(sK34,X0)
| ~ ssItem(X0) )
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1595]) ).
fof(f1595,plain,
( ! [X0] :
( ~ ssList(sK34)
| ~ ssList(sK34)
| memberP(sK34,X0)
| ~ ssItem(X0)
| memberP(sK34,X0)
| ~ memberP(cons(sK36,sK34),X0) )
| ~ spl52_96 ),
inference(superposition,[],[f502,f1487]) ).
fof(f1630,plain,
( spl52_115
| ~ spl52_7
| ~ spl52_89
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1590,f1485,f1384,f611,f1616]) ).
fof(f1384,plain,
( spl52_89
<=> ! [X6] :
( memberP(app(X6,sK34),sK36)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).
fof(f1590,plain,
( ~ ssList(sK34)
| memberP(cons(sK36,sK34),sK36)
| ~ spl52_89
| ~ spl52_96 ),
inference(superposition,[],[f1385,f1487]) ).
fof(f1385,plain,
( ! [X6] :
( memberP(app(X6,sK34),sK36)
| ~ ssList(X6) )
| ~ spl52_89 ),
inference(avatar_component_clause,[],[f1384]) ).
fof(f1629,plain,
( spl52_116
| ~ spl52_7
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1601,f1485,f611,f1620]) ).
fof(f1601,plain,
( ~ ssList(sK34)
| ssList(cons(sK36,sK34))
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1592]) ).
fof(f1592,plain,
( ssList(cons(sK36,sK34))
| ~ ssList(sK34)
| ~ ssList(sK34)
| ~ spl52_96 ),
inference(superposition,[],[f340,f1487]) ).
fof(f1628,plain,
( ~ spl52_7
| spl52_117
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1602,f1485,f1626,f611]) ).
fof(f1602,plain,
( ! [X1] :
( memberP(cons(sK36,sK34),X1)
| ~ memberP(sK34,X1)
| ~ ssList(sK34)
| ~ ssItem(X1) )
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1596]) ).
fof(f1596,plain,
( ! [X1] :
( ~ ssList(sK34)
| memberP(cons(sK36,sK34),X1)
| ~ ssList(sK34)
| ~ memberP(sK34,X1)
| ~ ssItem(X1) )
| ~ spl52_96 ),
inference(superposition,[],[f503,f1487]) ).
fof(f1624,plain,
( ~ spl52_7
| ~ spl52_113
| spl52_1
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1603,f1485,f584,f1607,f611]) ).
fof(f1603,plain,
( nil = sK34
| nil != cons(sK36,sK34)
| ~ ssList(sK34)
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1594]) ).
fof(f1594,plain,
( nil = sK34
| ~ ssList(sK34)
| nil != cons(sK36,sK34)
| ~ ssList(sK34)
| ~ spl52_96 ),
inference(superposition,[],[f416,f1487]) ).
fof(f1623,plain,
( ~ spl52_7
| spl52_115
| ~ spl52_116
| ~ spl52_50
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1591,f1485,f989,f1620,f1616,f611]) ).
fof(f989,plain,
( spl52_50
<=> ! [X0] :
( memberP(app(X0,sK34),sK36)
| ~ ssList(X0)
| ~ ssList(app(X0,sK34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f1591,plain,
( ~ ssList(cons(sK36,sK34))
| memberP(cons(sK36,sK34),sK36)
| ~ ssList(sK34)
| ~ spl52_50
| ~ spl52_96 ),
inference(superposition,[],[f990,f1487]) ).
fof(f990,plain,
( ! [X0] :
( ~ ssList(app(X0,sK34))
| memberP(app(X0,sK34),sK36)
| ~ ssList(X0) )
| ~ spl52_50 ),
inference(avatar_component_clause,[],[f989]) ).
fof(f1614,plain,
( ~ spl52_7
| spl52_114
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1604,f1485,f1612,f611]) ).
fof(f1612,plain,
( spl52_114
<=> ! [X3] :
( segmentP(app(X3,cons(sK36,sK34)),sK34)
| ~ ssList(X3)
| ~ ssList(app(X3,cons(sK36,sK34))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_114])]) ).
fof(f1604,plain,
( ! [X3] :
( segmentP(app(X3,cons(sK36,sK34)),sK34)
| ~ ssList(app(X3,cons(sK36,sK34)))
| ~ ssList(X3)
| ~ ssList(sK34) )
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1598]) ).
fof(f1598,plain,
( ! [X3] :
( ~ ssList(app(X3,cons(sK36,sK34)))
| segmentP(app(X3,cons(sK36,sK34)),sK34)
| ~ ssList(X3)
| ~ ssList(sK34)
| ~ ssList(sK34) )
| ~ spl52_96 ),
inference(superposition,[],[f652,f1487]) ).
fof(f1610,plain,
( ~ spl52_7
| spl52_1
| ~ spl52_113
| ~ spl52_96 ),
inference(avatar_split_clause,[],[f1605,f1485,f1607,f584,f611]) ).
fof(f1605,plain,
( nil != cons(sK36,sK34)
| nil = sK34
| ~ ssList(sK34)
| ~ spl52_96 ),
inference(duplicate_literal_removal,[],[f1593]) ).
fof(f1593,plain,
( nil != cons(sK36,sK34)
| nil = sK34
| ~ ssList(sK34)
| ~ ssList(sK34)
| ~ spl52_96 ),
inference(superposition,[],[f415,f1487]) ).
fof(f1589,plain,
( spl52_112
| ~ spl52_46
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1559,f1523,f951,f1586]) ).
fof(f1586,plain,
( spl52_112
<=> app(app(sK22(cons(sK36,sK35),nil),nil),sK23(cons(sK36,sK35),nil)) = cons(sK36,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).
fof(f1559,plain,
( app(app(sK22(cons(sK36,sK35),nil),nil),sK23(cons(sK36,sK35),nil)) = cons(sK36,sK35)
| ~ spl52_46
| ~ spl52_103 ),
inference(resolution,[],[f952,f1525]) ).
fof(f1584,plain,
( spl52_111
| ~ spl52_21
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f1567,f951,f688,f1581]) ).
fof(f1567,plain,
( sK35 = app(app(sK22(sK35,nil),nil),sK23(sK35,nil))
| ~ spl52_21
| ~ spl52_46 ),
inference(resolution,[],[f952,f690]) ).
fof(f1579,plain,
( spl52_110
| ~ spl52_7
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f1566,f951,f611,f1576]) ).
fof(f1566,plain,
( app(app(sK22(sK34,nil),nil),sK23(sK34,nil)) = sK34
| ~ spl52_7
| ~ spl52_46 ),
inference(resolution,[],[f952,f613]) ).
fof(f1574,plain,
( spl52_109
| ~ spl52_38
| ~ spl52_46 ),
inference(avatar_split_clause,[],[f1569,f951,f879,f1571]) ).
fof(f1571,plain,
( spl52_109
<=> app(app(sK22(sK48(sK35),nil),nil),sK23(sK48(sK35),nil)) = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).
fof(f1569,plain,
( app(app(sK22(sK48(sK35),nil),nil),sK23(sK48(sK35),nil)) = sK48(sK35)
| ~ spl52_38
| ~ spl52_46 ),
inference(resolution,[],[f952,f880]) ).
fof(f1557,plain,
( spl52_108
| ~ spl52_4
| ~ spl52_16
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1528,f1523,f660,f597,f1554]) ).
fof(f1554,plain,
( spl52_108
<=> cons(sK36,cons(sK36,sK35)) = app(sK34,cons(sK36,sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).
fof(f1528,plain,
( cons(sK36,cons(sK36,sK35)) = app(sK34,cons(sK36,sK35))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_103 ),
inference(resolution,[],[f1525,f1435]) ).
fof(f1552,plain,
( spl52_107
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1531,f1523,f1549]) ).
fof(f1549,plain,
( spl52_107
<=> cons(sK36,sK35) = app(cons(sK36,sK35),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).
fof(f1531,plain,
( cons(sK36,sK35) = app(cons(sK36,sK35),nil)
| ~ spl52_103 ),
inference(resolution,[],[f1525,f442]) ).
fof(f1547,plain,
( spl52_106
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1530,f1523,f1544]) ).
fof(f1530,plain,
( app(nil,cons(sK36,sK35)) = cons(sK36,sK35)
| ~ spl52_103 ),
inference(resolution,[],[f1525,f510]) ).
fof(f1542,plain,
( spl52_101
| spl52_105
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1532,f1523,f1539,f1514]) ).
fof(f1539,plain,
( spl52_105
<=> cons(sK36,sK35) = cons(sK49(cons(sK36,sK35)),sK48(cons(sK36,sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).
fof(f1532,plain,
( cons(sK36,sK35) = cons(sK49(cons(sK36,sK35)),sK48(cons(sK36,sK35)))
| nil = cons(sK36,sK35)
| ~ spl52_103 ),
inference(resolution,[],[f1525,f512]) ).
fof(f1537,plain,
( spl52_104
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1529,f1523,f1534]) ).
fof(f1534,plain,
( spl52_104
<=> cons(sK36,sK35) = app(app(sK22(cons(sK36,sK35),cons(sK36,sK35)),cons(sK36,sK35)),sK23(cons(sK36,sK35),cons(sK36,sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f1529,plain,
( cons(sK36,sK35) = app(app(sK22(cons(sK36,sK35),cons(sK36,sK35)),cons(sK36,sK35)),sK23(cons(sK36,sK35),cons(sK36,sK35)))
| ~ spl52_103 ),
inference(resolution,[],[f1525,f948]) ).
fof(f1527,plain,
( ~ spl52_7
| ~ spl52_101
| ~ spl52_21
| spl52_1
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1496,f1480,f584,f688,f1514,f611]) ).
fof(f1496,plain,
( nil = sK34
| ~ ssList(sK35)
| nil != cons(sK36,sK35)
| ~ ssList(sK34)
| ~ spl52_95 ),
inference(superposition,[],[f416,f1482]) ).
fof(f1526,plain,
( spl52_103
| ~ spl52_7
| ~ spl52_21
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1494,f1480,f688,f611,f1523]) ).
fof(f1494,plain,
( ~ ssList(sK35)
| ~ ssList(sK34)
| ssList(cons(sK36,sK35))
| ~ spl52_95 ),
inference(superposition,[],[f340,f1482]) ).
fof(f1521,plain,
( ~ spl52_7
| ~ spl52_21
| spl52_102
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1498,f1480,f1519,f688,f611]) ).
fof(f1519,plain,
( spl52_102
<=> ! [X1] :
( memberP(cons(sK36,sK35),X1)
| ~ ssItem(X1)
| ~ memberP(sK35,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f1498,plain,
( ! [X1] :
( memberP(cons(sK36,sK35),X1)
| ~ memberP(sK35,X1)
| ~ ssList(sK35)
| ~ ssList(sK34)
| ~ ssItem(X1) )
| ~ spl52_95 ),
inference(superposition,[],[f503,f1482]) ).
fof(f1517,plain,
( spl52_8
| ~ spl52_21
| ~ spl52_7
| ~ spl52_101
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1495,f1480,f1514,f611,f688,f616]) ).
fof(f1495,plain,
( nil != cons(sK36,sK35)
| ~ ssList(sK34)
| ~ ssList(sK35)
| nil = sK35
| ~ spl52_95 ),
inference(superposition,[],[f415,f1482]) ).
fof(f1512,plain,
( ~ spl52_21
| ~ spl52_7
| spl52_100
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1499,f1480,f1510,f611,f688]) ).
fof(f1510,plain,
( spl52_100
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(cons(sK36,sK35),X2)
| ~ memberP(sK34,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).
fof(f1499,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ ssList(sK34)
| ~ ssList(sK35)
| ~ memberP(sK34,X2)
| memberP(cons(sK36,sK35),X2) )
| ~ spl52_95 ),
inference(superposition,[],[f504,f1482]) ).
fof(f1508,plain,
( spl52_99
| ~ spl52_21
| ~ spl52_7
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1500,f1480,f611,f688,f1506]) ).
fof(f1506,plain,
( spl52_99
<=> ! [X3] :
( ~ ssList(X3)
| ~ ssList(app(X3,cons(sK36,sK35)))
| segmentP(app(X3,cons(sK36,sK35)),sK34) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f1500,plain,
( ! [X3] :
( ~ ssList(sK34)
| ~ ssList(sK35)
| ~ ssList(X3)
| segmentP(app(X3,cons(sK36,sK35)),sK34)
| ~ ssList(app(X3,cons(sK36,sK35))) )
| ~ spl52_95 ),
inference(superposition,[],[f652,f1482]) ).
fof(f1504,plain,
( ~ spl52_21
| ~ spl52_7
| spl52_98
| ~ spl52_95 ),
inference(avatar_split_clause,[],[f1497,f1480,f1502,f611,f688]) ).
fof(f1502,plain,
( spl52_98
<=> ! [X0] :
( memberP(sK34,X0)
| ~ memberP(cons(sK36,sK35),X0)
| ~ ssItem(X0)
| memberP(sK35,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f1497,plain,
( ! [X0] :
( memberP(sK34,X0)
| ~ ssList(sK34)
| memberP(sK35,X0)
| ~ ssItem(X0)
| ~ ssList(sK35)
| ~ memberP(cons(sK36,sK35),X0) )
| ~ spl52_95 ),
inference(superposition,[],[f502,f1482]) ).
fof(f1493,plain,
( spl52_97
| ~ spl52_4
| ~ spl52_16
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1477,f879,f660,f597,f1490]) ).
fof(f1477,plain,
( app(sK34,sK48(sK35)) = cons(sK36,sK48(sK35))
| ~ spl52_4
| ~ spl52_16
| ~ spl52_38 ),
inference(resolution,[],[f1435,f880]) ).
fof(f1488,plain,
( spl52_96
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1474,f660,f611,f597,f1485]) ).
fof(f1474,plain,
( cons(sK36,sK34) = app(sK34,sK34)
| ~ spl52_4
| ~ spl52_7
| ~ spl52_16 ),
inference(resolution,[],[f1435,f613]) ).
fof(f1483,plain,
( spl52_95
| ~ spl52_4
| ~ spl52_16
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1475,f688,f660,f597,f1480]) ).
fof(f1475,plain,
( app(sK34,sK35) = cons(sK36,sK35)
| ~ spl52_4
| ~ spl52_16
| ~ spl52_21 ),
inference(resolution,[],[f1435,f690]) ).
fof(f1466,plain,
( spl52_94
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1444,f688,f1463]) ).
fof(f1444,plain,
( sK35 = app(app(sK22(sK35,sK35),sK35),sK23(sK35,sK35))
| ~ spl52_21 ),
inference(resolution,[],[f948,f690]) ).
fof(f1461,plain,
( spl52_93
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f1443,f611,f1458]) ).
fof(f1443,plain,
( app(app(sK22(sK34,sK34),sK34),sK23(sK34,sK34)) = sK34
| ~ spl52_7 ),
inference(resolution,[],[f948,f613]) ).
fof(f1456,plain,
( spl52_92
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1446,f879,f1453]) ).
fof(f1453,plain,
( spl52_92
<=> sK48(sK35) = app(app(sK22(sK48(sK35),sK48(sK35)),sK48(sK35)),sK23(sK48(sK35),sK48(sK35))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f1446,plain,
( sK48(sK35) = app(app(sK22(sK48(sK35),sK48(sK35)),sK48(sK35)),sK23(sK48(sK35),sK48(sK35)))
| ~ spl52_38 ),
inference(resolution,[],[f948,f880]) ).
fof(f1451,plain,
( spl52_91
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f1438,f602,f1448]) ).
fof(f1448,plain,
( spl52_91
<=> nil = app(app(sK22(nil,nil),nil),sK23(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f1438,plain,
( nil = app(app(sK22(nil,nil),nil),sK23(nil,nil))
| ~ spl52_5 ),
inference(resolution,[],[f948,f603]) ).
fof(f603,plain,
( ssList(nil)
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f602]) ).
fof(f1422,plain,
( ~ spl52_5
| ~ spl52_38
| spl52_90
| ~ spl52_83 ),
inference(avatar_split_clause,[],[f1418,f1324,f1420,f879,f602]) ).
fof(f1420,plain,
( spl52_90
<=> ! [X3] :
( ~ ssList(X3)
| ~ ssList(app(X3,sK48(sK35)))
| segmentP(app(X3,sK48(sK35)),sK48(sK35)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).
fof(f1324,plain,
( spl52_83
<=> app(sK48(sK35),nil) = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f1418,plain,
( ! [X3] :
( ~ ssList(X3)
| segmentP(app(X3,sK48(sK35)),sK48(sK35))
| ~ ssList(sK48(sK35))
| ~ ssList(app(X3,sK48(sK35)))
| ~ ssList(nil) )
| ~ spl52_83 ),
inference(superposition,[],[f652,f1326]) ).
fof(f1326,plain,
( app(sK48(sK35),nil) = sK48(sK35)
| ~ spl52_83 ),
inference(avatar_component_clause,[],[f1324]) ).
fof(f1386,plain,
( spl52_89
| ~ spl52_7
| ~ spl52_50 ),
inference(avatar_split_clause,[],[f1380,f989,f611,f1384]) ).
fof(f1380,plain,
( ! [X6] :
( ~ ssList(sK34)
| memberP(app(X6,sK34),sK36)
| ~ ssList(X6) )
| ~ spl52_50 ),
inference(duplicate_literal_removal,[],[f1372]) ).
fof(f1372,plain,
( ! [X6] :
( memberP(app(X6,sK34),sK36)
| ~ ssList(X6)
| ~ ssList(sK34)
| ~ ssList(X6) )
| ~ spl52_50 ),
inference(resolution,[],[f340,f990]) ).
fof(f1369,plain,
( ~ spl52_21
| ~ spl52_5
| spl52_88
| ~ spl52_82 ),
inference(avatar_split_clause,[],[f1362,f1319,f1367,f602,f688]) ).
fof(f1367,plain,
( spl52_88
<=> ! [X0] :
( ~ ssList(app(X0,sK35))
| ~ ssList(X0)
| segmentP(app(X0,sK35),sK35) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).
fof(f1362,plain,
( ! [X0] :
( ~ ssList(app(X0,sK35))
| segmentP(app(X0,sK35),sK35)
| ~ ssList(nil)
| ~ ssList(sK35)
| ~ ssList(X0) )
| ~ spl52_82 ),
inference(superposition,[],[f652,f1321]) ).
fof(f1361,plain,
( ~ spl52_5
| ~ spl52_7
| spl52_87
| ~ spl52_81 ),
inference(avatar_split_clause,[],[f1354,f1314,f1359,f611,f602]) ).
fof(f1359,plain,
( spl52_87
<=> ! [X0] :
( segmentP(app(X0,sK34),sK34)
| ~ ssList(X0)
| ~ ssList(app(X0,sK34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f1314,plain,
( spl52_81
<=> app(sK34,nil) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).
fof(f1354,plain,
( ! [X0] :
( segmentP(app(X0,sK34),sK34)
| ~ ssList(sK34)
| ~ ssList(nil)
| ~ ssList(app(X0,sK34))
| ~ ssList(X0) )
| ~ spl52_81 ),
inference(superposition,[],[f652,f1316]) ).
fof(f1316,plain,
( app(sK34,nil) = sK34
| ~ spl52_81 ),
inference(avatar_component_clause,[],[f1314]) ).
fof(f1352,plain,
( spl52_86
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1337,f879,f1349]) ).
fof(f1349,plain,
( spl52_86
<=> app(nil,sK48(sK35)) = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f1337,plain,
( app(nil,sK48(sK35)) = sK48(sK35)
| ~ spl52_38 ),
inference(resolution,[],[f510,f880]) ).
fof(f1347,plain,
( spl52_85
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1335,f688,f1344]) ).
fof(f1335,plain,
( sK35 = app(nil,sK35)
| ~ spl52_21 ),
inference(resolution,[],[f510,f690]) ).
fof(f1342,plain,
( spl52_84
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f1334,f611,f1339]) ).
fof(f1334,plain,
( app(nil,sK34) = sK34
| ~ spl52_7 ),
inference(resolution,[],[f510,f613]) ).
fof(f1327,plain,
( spl52_83
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f1312,f879,f1324]) ).
fof(f1312,plain,
( app(sK48(sK35),nil) = sK48(sK35)
| ~ spl52_38 ),
inference(resolution,[],[f442,f880]) ).
fof(f1322,plain,
( spl52_82
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f1310,f688,f1319]) ).
fof(f1310,plain,
( app(sK35,nil) = sK35
| ~ spl52_21 ),
inference(resolution,[],[f442,f690]) ).
fof(f1317,plain,
( spl52_81
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f1309,f611,f1314]) ).
fof(f1309,plain,
( app(sK34,nil) = sK34
| ~ spl52_7 ),
inference(resolution,[],[f442,f613]) ).
fof(f1302,plain,
( spl52_80
| ~ spl52_7
| ~ spl52_16
| ~ spl52_29 ),
inference(avatar_split_clause,[],[f1275,f754,f660,f611,f1299]) ).
fof(f1275,plain,
( ~ ssList(sK34)
| app(sK24(sK34,sK36),cons(sK36,sK25(sK34,sK36))) = sK34
| ~ spl52_16
| ~ spl52_29 ),
inference(resolution,[],[f956,f756]) ).
fof(f756,plain,
( memberP(sK34,sK36)
| ~ spl52_29 ),
inference(avatar_component_clause,[],[f754]) ).
fof(f1297,plain,
( ~ spl52_16
| spl52_79
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1274,f660,f1295,f660]) ).
fof(f1295,plain,
( spl52_79
<=> ! [X6,X5] :
( app(sK24(app(X5,X6),sK36),cons(sK36,sK25(app(X5,X6),sK36))) = app(X5,X6)
| ~ ssList(X5)
| ~ memberP(X6,sK36)
| ~ ssList(app(X5,X6))
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f1274,plain,
( ! [X6,X5] :
( app(sK24(app(X5,X6),sK36),cons(sK36,sK25(app(X5,X6),sK36))) = app(X5,X6)
| ~ ssList(X6)
| ~ ssList(app(X5,X6))
| ~ ssItem(sK36)
| ~ memberP(X6,sK36)
| ~ ssList(X5) )
| ~ spl52_16 ),
inference(resolution,[],[f956,f503]) ).
fof(f1293,plain,
( ~ spl52_21
| spl52_78
| ~ spl52_9
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1276,f660,f620,f1290,f688]) ).
fof(f1276,plain,
( app(sK24(sK35,sK36),cons(sK36,sK25(sK35,sK36))) = sK35
| ~ ssList(sK35)
| ~ spl52_9
| ~ spl52_16 ),
inference(resolution,[],[f956,f622]) ).
fof(f1288,plain,
( ~ spl52_16
| spl52_77
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1273,f660,f1286,f660]) ).
fof(f1286,plain,
( spl52_77
<=> ! [X4,X3] :
( ~ memberP(X3,sK36)
| ~ ssList(X4)
| app(sK24(app(X3,X4),sK36),cons(sK36,sK25(app(X3,X4),sK36))) = app(X3,X4)
| ~ ssList(app(X3,X4))
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f1273,plain,
( ! [X3,X4] :
( ~ memberP(X3,sK36)
| ~ ssList(X3)
| ~ ssItem(sK36)
| ~ ssList(app(X3,X4))
| app(sK24(app(X3,X4),sK36),cons(sK36,sK25(app(X3,X4),sK36))) = app(X3,X4)
| ~ ssList(X4) )
| ~ spl52_16 ),
inference(resolution,[],[f956,f504]) ).
fof(f1284,plain,
( spl52_76
| ~ spl52_16
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1272,f660,f660,f1282]) ).
fof(f1282,plain,
( spl52_76
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| cons(X1,X2) = app(sK24(cons(X1,X2),sK36),cons(sK36,sK25(cons(X1,X2),sK36)))
| ~ memberP(X2,sK36)
| ~ ssList(cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f1272,plain,
( ! [X2,X1] :
( ~ ssItem(sK36)
| ~ ssItem(X1)
| ~ ssList(cons(X1,X2))
| ~ memberP(X2,sK36)
| cons(X1,X2) = app(sK24(cons(X1,X2),sK36),cons(sK36,sK25(cons(X1,X2),sK36)))
| ~ ssList(X2) )
| ~ spl52_16 ),
inference(resolution,[],[f956,f358]) ).
fof(f1280,plain,
( ~ spl52_16
| spl52_75
| ~ spl52_16 ),
inference(avatar_split_clause,[],[f1271,f660,f1278,f660]) ).
fof(f1278,plain,
( spl52_75
<=> ! [X0] :
( app(sK24(cons(sK36,X0),sK36),cons(sK36,sK25(cons(sK36,X0),sK36))) = cons(sK36,X0)
| ~ ssList(X0)
| ~ ssList(cons(sK36,X0)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f1271,plain,
( ! [X0] :
( app(sK24(cons(sK36,X0),sK36),cons(sK36,sK25(cons(sK36,X0),sK36))) = cons(sK36,X0)
| ~ ssList(cons(sK36,X0))
| ~ ssItem(sK36)
| ~ ssList(X0) )
| ~ spl52_16 ),
inference(resolution,[],[f956,f577]) ).
fof(f1246,plain,
( ~ spl52_38
| ~ spl52_36
| ~ spl52_74
| spl52_44
| ~ spl52_30
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f1237,f964,f780,f928,f1243,f871,f879]) ).
fof(f871,plain,
( spl52_36
<=> ssItem(sK49(sK35)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f964,plain,
( spl52_47
<=> ! [X0,X1] :
( nil = X1
| ~ ssList(X1)
| ~ ssItem(X0)
| cons(X0,X1) != sK34 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f1237,plain,
( nil = sK48(sK35)
| sK35 != sK34
| ~ ssItem(sK49(sK35))
| ~ ssList(sK48(sK35))
| ~ spl52_30
| ~ spl52_47 ),
inference(superposition,[],[f965,f782]) ).
fof(f965,plain,
( ! [X0,X1] :
( cons(X0,X1) != sK34
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0) )
| ~ spl52_47 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f1241,plain,
( ~ spl52_16
| spl52_68
| ~ spl52_54
| ~ spl52_47
| ~ spl52_72 ),
inference(avatar_split_clause,[],[f1240,f1189,f964,f1031,f1134,f660]) ).
fof(f1031,plain,
( spl52_54
<=> ssList(sK48(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f1189,plain,
( spl52_72
<=> cons(sK36,sK48(sK34)) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f1240,plain,
( ~ ssList(sK48(sK34))
| nil = sK48(sK34)
| ~ ssItem(sK36)
| ~ spl52_47
| ~ spl52_72 ),
inference(trivial_inequality_removal,[],[f1239]) ).
fof(f1239,plain,
( nil = sK48(sK34)
| sK34 != sK34
| ~ ssList(sK48(sK34))
| ~ ssItem(sK36)
| ~ spl52_47
| ~ spl52_72 ),
inference(superposition,[],[f965,f1191]) ).
fof(f1191,plain,
( cons(sK36,sK48(sK34)) = sK34
| ~ spl52_72 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1213,plain,
( ~ spl52_56
| ~ spl52_70 ),
inference(avatar_split_clause,[],[f1212,f1172,f1039]) ).
fof(f1039,plain,
( spl52_56
<=> ssItem(sK49(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f1172,plain,
( spl52_70
<=> memberP(nil,sK49(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f1212,plain,
( ~ ssItem(sK49(sK34))
| ~ spl52_70 ),
inference(resolution,[],[f1174,f528]) ).
fof(f528,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f1174,plain,
( memberP(nil,sK49(sK34))
| ~ spl52_70 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1209,plain,
( ~ spl52_5
| ~ spl52_56
| spl52_73
| ~ spl52_69 ),
inference(avatar_split_clause,[],[f1195,f1144,f1207,f1039,f602]) ).
fof(f1207,plain,
( spl52_73
<=> ! [X0] :
( sK49(sK34) = X0
| memberP(nil,X0)
| ~ memberP(sK34,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f1144,plain,
( spl52_69
<=> cons(sK49(sK34),nil) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f1195,plain,
( ! [X0] :
( sK49(sK34) = X0
| ~ ssItem(sK49(sK34))
| ~ ssItem(X0)
| ~ memberP(sK34,X0)
| ~ ssList(nil)
| memberP(nil,X0) )
| ~ spl52_69 ),
inference(superposition,[],[f357,f1146]) ).
fof(f1146,plain,
( cons(sK49(sK34),nil) = sK34
| ~ spl52_69 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f357,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| X0 = X1
| ~ ssItem(X0)
| ~ ssList(X2)
| memberP(X2,X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f1192,plain,
( spl52_72
| ~ spl52_31
| ~ spl52_71 ),
inference(avatar_split_clause,[],[f1180,f1176,f785,f1189]) ).
fof(f785,plain,
( spl52_31
<=> cons(sK49(sK34),sK48(sK34)) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f1176,plain,
( spl52_71
<=> sK36 = sK49(sK34) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f1180,plain,
( cons(sK36,sK48(sK34)) = sK34
| ~ spl52_31
| ~ spl52_71 ),
inference(backward_demodulation,[],[f787,f1178]) ).
fof(f1178,plain,
( sK36 = sK49(sK34)
| ~ spl52_71 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f787,plain,
( cons(sK49(sK34),sK48(sK34)) = sK34
| ~ spl52_31 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f1179,plain,
( ~ spl52_56
| spl52_70
| spl52_71
| ~ spl52_41
| ~ spl52_58 ),
inference(avatar_split_clause,[],[f1170,f1048,f909,f1176,f1172,f1039]) ).
fof(f909,plain,
( spl52_41
<=> ! [X0] :
( ~ memberP(sK34,X0)
| memberP(nil,X0)
| ~ ssItem(X0)
| sK36 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f1048,plain,
( spl52_58
<=> memberP(sK34,sK49(sK34)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f1170,plain,
( sK36 = sK49(sK34)
| memberP(nil,sK49(sK34))
| ~ ssItem(sK49(sK34))
| ~ spl52_41
| ~ spl52_58 ),
inference(resolution,[],[f910,f1050]) ).
fof(f1050,plain,
( memberP(sK34,sK49(sK34))
| ~ spl52_58 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f910,plain,
( ! [X0] :
( ~ memberP(sK34,X0)
| sK36 = X0
| ~ ssItem(X0)
| memberP(nil,X0) )
| ~ spl52_41 ),
inference(avatar_component_clause,[],[f909]) ).
fof(f1150,plain,
( ~ spl52_7
| spl52_1
| spl52_56 ),
inference(avatar_split_clause,[],[f1149,f1039,f584,f611]) ).
fof(f1149,plain,
( nil = sK34
| ~ ssList(sK34)
| spl52_56 ),
inference(resolution,[],[f1041,f511]) ).
fof(f1041,plain,
( ~ ssItem(sK49(sK34))
| spl52_56 ),
inference(avatar_component_clause,[],[f1039]) ).
fof(f1147,plain,
( spl52_69
| ~ spl52_31
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f1140,f1134,f785,f1144]) ).
fof(f1140,plain,
( cons(sK49(sK34),nil) = sK34
| ~ spl52_31
| ~ spl52_68 ),
inference(backward_demodulation,[],[f787,f1136]) ).
fof(f1142,plain,
( ~ spl52_32
| spl52_67
| ~ spl52_68 ),
inference(avatar_split_clause,[],[f1138,f1134,f1130,f797]) ).
fof(f1137,plain,
( spl52_67
| spl52_68
| ~ spl52_54 ),
inference(avatar_split_clause,[],[f1128,f1031,f1134,f1130]) ).
fof(f1128,plain,
( nil = sK48(sK34)
| sK48(sK34) = cons(sK49(sK48(sK34)),sK48(sK48(sK34)))
| ~ spl52_54 ),
inference(resolution,[],[f1032,f512]) ).
fof(f1032,plain,
( ssList(sK48(sK34))
| ~ spl52_54 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1116,plain,
( ~ spl52_16
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f1115,f723,f660]) ).
fof(f723,plain,
( spl52_26
<=> memberP(nil,sK36) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f1115,plain,
( ~ ssItem(sK36)
| ~ spl52_26 ),
inference(resolution,[],[f724,f528]) ).
fof(f724,plain,
( memberP(nil,sK36)
| ~ spl52_26 ),
inference(avatar_component_clause,[],[f723]) ).
fof(f1113,plain,
( ~ spl52_1
| ~ spl52_4
| spl52_25 ),
inference(avatar_split_clause,[],[f734,f715,f597,f584]) ).
fof(f715,plain,
( spl52_25
<=> nil = cons(sK36,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f734,plain,
( nil != sK34
| ~ spl52_4
| spl52_25 ),
inference(superposition,[],[f717,f599]) ).
fof(f717,plain,
( nil != cons(sK36,nil)
| spl52_25 ),
inference(avatar_component_clause,[],[f715]) ).
fof(f1112,plain,
( ~ spl52_66
| ~ spl52_1
| spl52_54 ),
inference(avatar_split_clause,[],[f1084,f1031,f584,f1109]) ).
fof(f1109,plain,
( spl52_66
<=> ssList(sK48(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f1084,plain,
( ~ ssList(sK48(nil))
| ~ spl52_1
| spl52_54 ),
inference(backward_demodulation,[],[f1033,f586]) ).
fof(f586,plain,
( nil = sK34
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f1033,plain,
( ~ ssList(sK48(sK34))
| spl52_54 ),
inference(avatar_component_clause,[],[f1031]) ).
fof(f1103,plain,
( ~ spl52_65
| ~ spl52_1
| spl52_58 ),
inference(avatar_split_clause,[],[f1087,f1048,f584,f1100]) ).
fof(f1100,plain,
( spl52_65
<=> memberP(nil,sK49(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f1087,plain,
( ~ memberP(nil,sK49(nil))
| ~ spl52_1
| spl52_58 ),
inference(backward_demodulation,[],[f1049,f586]) ).
fof(f1049,plain,
( ~ memberP(sK34,sK49(sK34))
| spl52_58 ),
inference(avatar_component_clause,[],[f1048]) ).
fof(f1098,plain,
( ~ spl52_64
| ~ spl52_1
| spl52_55 ),
inference(avatar_split_clause,[],[f1085,f1035,f584,f1095]) ).
fof(f1095,plain,
( spl52_64
<=> nil = sK48(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f1035,plain,
( spl52_55
<=> sK48(sK34) = sK34 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f1085,plain,
( nil != sK48(nil)
| ~ spl52_1
| spl52_55 ),
inference(backward_demodulation,[],[f1037,f586]) ).
fof(f1037,plain,
( sK48(sK34) != sK34
| spl52_55 ),
inference(avatar_component_clause,[],[f1035]) ).
fof(f1093,plain,
( ~ spl52_63
| ~ spl52_1
| spl52_56 ),
inference(avatar_split_clause,[],[f1086,f1039,f584,f1090]) ).
fof(f1090,plain,
( spl52_63
<=> ssItem(sK49(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f1086,plain,
( ~ ssItem(sK49(nil))
| ~ spl52_1
| spl52_56 ),
inference(backward_demodulation,[],[f1041,f586]) ).
fof(f1088,plain,
( spl52_25
| ~ spl52_1
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f1075,f597,f584,f715]) ).
fof(f1075,plain,
( nil = cons(sK36,nil)
| ~ spl52_1
| ~ spl52_4 ),
inference(backward_demodulation,[],[f599,f586]) ).
fof(f1073,plain,
( ~ spl52_1
| ~ spl52_5
| ~ spl52_16
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f837,f597,f660,f602,f584]) ).
fof(f837,plain,
( ~ ssItem(sK36)
| ~ ssList(nil)
| nil != sK34
| ~ spl52_4 ),
inference(superposition,[],[f519,f599]) ).
fof(f519,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) != X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f1072,plain,
( ~ spl52_5
| ~ spl52_1
| ~ spl52_16
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f838,f597,f660,f584,f602]) ).
fof(f838,plain,
( ~ ssItem(sK36)
| nil != sK34
| ~ ssList(nil)
| ~ spl52_4 ),
inference(superposition,[],[f374,f599]) ).
fof(f374,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f1071,plain,
( spl52_1
| ~ spl52_7
| spl52_54 ),
inference(avatar_split_clause,[],[f1070,f1031,f611,f584]) ).
fof(f1070,plain,
( ~ ssList(sK34)
| nil = sK34
| spl52_54 ),
inference(resolution,[],[f1033,f513]) ).
fof(f1069,plain,
( ~ spl52_54
| ~ spl52_56
| spl52_61
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1022,f785,f1061,f1039,f1031]) ).
fof(f1061,plain,
( spl52_61
<=> ! [X4,X5] :
( cons(X4,X5) != sK34
| ~ ssItem(X4)
| sK48(sK34) = X5
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f1022,plain,
( ! [X2,X3] :
( sK48(sK34) = X3
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ ssItem(sK49(sK34))
| ~ ssList(sK48(sK34))
| cons(X2,X3) != sK34 )
| ~ spl52_31 ),
inference(superposition,[],[f431,f787]) ).
fof(f431,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssList(X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| X0 = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ( X2 = X3
& X0 = X1 ) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f109]) ).
fof(f109,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X2 = X3
& X0 = X1 )
| 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)
=> ( X2 = X3
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax19) ).
fof(f1068,plain,
( ~ spl52_54
| spl52_62
| ~ spl52_56
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1019,f785,f1039,f1066,f1031]) ).
fof(f1066,plain,
( spl52_62
<=> ! [X0] :
( sK49(sK34) = X0
| memberP(sK48(sK34),X0)
| ~ ssItem(X0)
| ~ memberP(sK34,X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f1019,plain,
( ! [X0] :
( ~ ssItem(sK49(sK34))
| sK49(sK34) = X0
| ~ ssList(sK48(sK34))
| ~ memberP(sK34,X0)
| ~ ssItem(X0)
| memberP(sK48(sK34),X0) )
| ~ spl52_31 ),
inference(superposition,[],[f357,f787]) ).
fof(f1064,plain,
( spl52_57
| ~ spl52_54
| ~ spl52_56
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1025,f785,f1039,f1031,f1044]) ).
fof(f1044,plain,
( spl52_57
<=> ! [X6,X7] :
( ~ ssItem(X6)
| sK49(sK34) = X6
| cons(X6,X7) != sK34
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f1025,plain,
( ! [X8,X9] :
( ~ ssItem(sK49(sK34))
| ~ ssList(sK48(sK34))
| sK49(sK34) = X8
| ~ ssList(X9)
| cons(X8,X9) != sK34
| ~ ssItem(X8) )
| ~ spl52_31 ),
inference(superposition,[],[f432,f787]) ).
fof(f432,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X2)
| ~ ssList(X0)
| X2 = X3
| ~ ssItem(X3)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f110]) ).
fof(f1063,plain,
( spl52_61
| ~ spl52_56
| ~ spl52_54
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1023,f785,f1031,f1039,f1061]) ).
fof(f1023,plain,
( ! [X4,X5] :
( ~ ssList(sK48(sK34))
| ~ ssItem(sK49(sK34))
| cons(X4,X5) != sK34
| ~ ssList(X5)
| sK48(sK34) = X5
| ~ ssItem(X4) )
| ~ spl52_31 ),
inference(superposition,[],[f431,f787]) ).
fof(f1059,plain,
( ~ spl52_56
| ~ spl52_54
| spl52_60
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1028,f785,f1057,f1031,f1039]) ).
fof(f1057,plain,
( spl52_60
<=> ! [X10] :
( memberP(app(X10,sK34),sK49(sK34))
| ~ ssList(X10)
| ~ ssList(app(X10,sK34)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f1028,plain,
( ! [X10] :
( memberP(app(X10,sK34),sK49(sK34))
| ~ ssList(sK48(sK34))
| ~ ssList(app(X10,sK34))
| ~ ssList(X10)
| ~ ssItem(sK49(sK34)) )
| ~ spl52_31 ),
inference(superposition,[],[f564,f787]) ).
fof(f564,plain,
! [X1,X4,X5] :
( ~ ssList(app(X4,cons(X1,X5)))
| ~ ssList(X4)
| ~ ssList(X5)
| memberP(app(X4,cons(X1,X5)),X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f427]) ).
fof(f427,plain,
! [X0,X1,X4,X5] :
( ~ ssItem(X1)
| memberP(X0,X1)
| app(X4,cons(X1,X5)) != X0
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f1055,plain,
( spl52_59
| ~ spl52_56
| ~ spl52_54
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1020,f785,f1031,f1039,f1053]) ).
fof(f1053,plain,
( spl52_59
<=> ! [X1] :
( ~ ssItem(X1)
| ~ memberP(sK48(sK34),X1)
| memberP(sK34,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f1020,plain,
( ! [X1] :
( ~ ssList(sK48(sK34))
| ~ ssItem(sK49(sK34))
| ~ ssItem(X1)
| memberP(sK34,X1)
| ~ memberP(sK48(sK34),X1) )
| ~ spl52_31 ),
inference(superposition,[],[f358,f787]) ).
fof(f1051,plain,
( spl52_58
| ~ spl52_56
| ~ spl52_54
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1029,f785,f1031,f1039,f1048]) ).
fof(f1029,plain,
( ~ ssList(sK48(sK34))
| ~ ssItem(sK49(sK34))
| memberP(sK34,sK49(sK34))
| ~ spl52_31 ),
inference(superposition,[],[f577,f787]) ).
fof(f1046,plain,
( ~ spl52_56
| ~ spl52_54
| spl52_57
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1024,f785,f1044,f1031,f1039]) ).
fof(f1024,plain,
( ! [X6,X7] :
( ~ ssItem(X6)
| ~ ssList(X7)
| cons(X6,X7) != sK34
| sK49(sK34) = X6
| ~ ssList(sK48(sK34))
| ~ ssItem(sK49(sK34)) )
| ~ spl52_31 ),
inference(superposition,[],[f432,f787]) ).
fof(f1042,plain,
( ~ spl52_54
| ~ spl52_55
| ~ spl52_56
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f1027,f785,f1039,f1035,f1031]) ).
fof(f1027,plain,
( ~ ssItem(sK49(sK34))
| sK48(sK34) != sK34
| ~ ssList(sK48(sK34))
| ~ spl52_31 ),
inference(superposition,[],[f519,f787]) ).
fof(f1018,plain,
( ~ spl52_38
| ~ spl52_36
| spl52_52
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f999,f780,f1010,f871,f879]) ).
fof(f1010,plain,
( spl52_52
<=> ! [X9,X8] :
( sK49(sK35) = X8
| ~ ssList(X9)
| cons(X8,X9) != sK35
| ~ ssItem(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f999,plain,
( ! [X6,X7] :
( ~ ssList(X7)
| sK35 != cons(X6,X7)
| ~ ssItem(sK49(sK35))
| sK49(sK35) = X6
| ~ ssItem(X6)
| ~ ssList(sK48(sK35)) )
| ~ spl52_30 ),
inference(superposition,[],[f432,f782]) ).
fof(f1017,plain,
( ~ spl52_36
| spl52_53
| ~ spl52_38
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f997,f780,f879,f1014,f871]) ).
fof(f1014,plain,
( spl52_53
<=> ! [X4,X5] :
( ~ ssList(X5)
| ~ ssItem(X4)
| cons(X4,X5) != sK35
| sK48(sK35) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f997,plain,
( ! [X2,X3] :
( ~ ssList(sK48(sK35))
| sK35 != cons(X2,X3)
| ~ ssItem(sK49(sK35))
| ~ ssItem(X2)
| sK48(sK35) = X3
| ~ ssList(X3) )
| ~ spl52_30 ),
inference(superposition,[],[f431,f782]) ).
fof(f1016,plain,
( ~ spl52_36
| spl52_53
| ~ spl52_38
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f998,f780,f879,f1014,f871]) ).
fof(f998,plain,
( ! [X4,X5] :
( ~ ssList(sK48(sK35))
| ~ ssList(X5)
| ~ ssItem(sK49(sK35))
| sK48(sK35) = X5
| ~ ssItem(X4)
| cons(X4,X5) != sK35 )
| ~ spl52_30 ),
inference(superposition,[],[f431,f782]) ).
fof(f1012,plain,
( ~ spl52_38
| ~ spl52_36
| spl52_52
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f1000,f780,f1010,f871,f879]) ).
fof(f1000,plain,
( ! [X8,X9] :
( sK49(sK35) = X8
| ~ ssItem(X8)
| ~ ssItem(sK49(sK35))
| ~ ssList(sK48(sK35))
| cons(X8,X9) != sK35
| ~ ssList(X9) )
| ~ spl52_30 ),
inference(superposition,[],[f432,f782]) ).
fof(f1008,plain,
( ~ spl52_38
| ~ spl52_36
| spl52_51
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f1003,f780,f1006,f871,f879]) ).
fof(f1003,plain,
( ! [X10] :
( memberP(app(X10,sK35),sK49(sK35))
| ~ ssItem(sK49(sK35))
| ~ ssList(app(X10,sK35))
| ~ ssList(sK48(sK35))
| ~ ssList(X10) )
| ~ spl52_30 ),
inference(superposition,[],[f564,f782]) ).
fof(f991,plain,
( ~ spl52_16
| spl52_50
| ~ spl52_5
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f987,f597,f602,f989,f660]) ).
fof(f987,plain,
( ! [X0] :
( ~ ssList(nil)
| memberP(app(X0,sK34),sK36)
| ~ ssList(app(X0,sK34))
| ~ ssItem(sK36)
| ~ ssList(X0) )
| ~ spl52_4 ),
inference(superposition,[],[f564,f599]) ).
fof(f986,plain,
( ~ spl52_5
| spl52_49 ),
inference(avatar_split_clause,[],[f980,f984,f602]) ).
fof(f980,plain,
! [X3,X4,X5] :
( segmentP(app(X3,app(X4,X5)),nil)
| ~ ssList(X3)
| ~ ssList(nil)
| ~ ssList(X5)
| ~ ssList(X4) ),
inference(duplicate_literal_removal,[],[f978]) ).
fof(f978,plain,
! [X3,X4,X5] :
( ~ ssList(nil)
| ~ ssList(X5)
| ~ ssList(X4)
| ~ ssList(X4)
| ~ ssList(X3)
| segmentP(app(X3,app(X4,X5)),nil) ),
inference(resolution,[],[f699,f533]) ).
fof(f976,plain,
( ~ spl52_5
| ~ spl52_16
| spl52_48
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f968,f597,f973,f660,f602]) ).
fof(f973,plain,
( spl52_48
<=> ! [X0,X1] :
( sK36 = X0
| cons(X0,X1) != sK34
| ~ ssList(X1)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f968,plain,
( ! [X0,X1] :
( sK36 = X0
| ~ ssItem(X0)
| cons(X0,X1) != sK34
| ~ ssItem(sK36)
| ~ ssList(X1)
| ~ ssList(nil) )
| ~ spl52_4 ),
inference(superposition,[],[f432,f599]) ).
fof(f975,plain,
( ~ spl52_5
| ~ spl52_16
| spl52_48
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f969,f597,f973,f660,f602]) ).
fof(f969,plain,
( ! [X0,X1] :
( sK36 = X0
| ~ ssItem(sK36)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ ssList(nil)
| cons(X0,X1) != sK34 )
| ~ spl52_4 ),
inference(superposition,[],[f432,f599]) ).
fof(f967,plain,
( ~ spl52_5
| ~ spl52_16
| spl52_47
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f959,f597,f964,f660,f602]) ).
fof(f959,plain,
( ! [X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(sK36)
| cons(X0,X1) != sK34
| ~ ssList(nil)
| nil = X1 )
| ~ spl52_4 ),
inference(superposition,[],[f431,f599]) ).
fof(f966,plain,
( ~ spl52_16
| ~ spl52_5
| spl52_47
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f960,f597,f964,f602,f660]) ).
fof(f960,plain,
( ! [X0,X1] :
( nil = X1
| ~ ssItem(X0)
| cons(X0,X1) != sK34
| ~ ssList(X1)
| ~ ssList(nil)
| ~ ssItem(sK36) )
| ~ spl52_4 ),
inference(superposition,[],[f431,f599]) ).
fof(f953,plain,
( ~ spl52_5
| spl52_46 ),
inference(avatar_split_clause,[],[f949,f951,f602]) ).
fof(f949,plain,
! [X1] :
( ~ ssList(X1)
| app(app(sK22(X1,nil),nil),sK23(X1,nil)) = X1
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f945]) ).
fof(f945,plain,
! [X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(X1)
| app(app(sK22(X1,nil),nil),sK23(X1,nil)) = X1 ),
inference(resolution,[],[f420,f533]) ).
fof(f941,plain,
( spl52_45
| ~ spl52_30
| ~ spl52_44 ),
inference(avatar_split_clause,[],[f936,f928,f780,f938]) ).
fof(f938,plain,
( spl52_45
<=> cons(sK49(sK35),nil) = sK35 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f936,plain,
( cons(sK49(sK35),nil) = sK35
| ~ spl52_30
| ~ spl52_44 ),
inference(backward_demodulation,[],[f782,f930]) ).
fof(f930,plain,
( nil = sK48(sK35)
| ~ spl52_44 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f931,plain,
( spl52_43
| spl52_44
| ~ spl52_38 ),
inference(avatar_split_clause,[],[f922,f879,f928,f924]) ).
fof(f924,plain,
( spl52_43
<=> cons(sK49(sK48(sK35)),sK48(sK48(sK35))) = sK48(sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f922,plain,
( nil = sK48(sK35)
| cons(sK49(sK48(sK35)),sK48(sK48(sK35))) = sK48(sK35)
| ~ spl52_38 ),
inference(resolution,[],[f880,f512]) ).
fof(f915,plain,
( ~ spl52_36
| ~ spl52_38
| spl52_42
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f905,f780,f913,f879,f871]) ).
fof(f905,plain,
( ! [X1] :
( memberP(sK48(sK35),X1)
| sK49(sK35) = X1
| ~ ssList(sK48(sK35))
| ~ ssItem(sK49(sK35))
| ~ ssItem(X1)
| ~ memberP(sK35,X1) )
| ~ spl52_30 ),
inference(superposition,[],[f357,f782]) ).
fof(f911,plain,
( ~ spl52_5
| ~ spl52_16
| spl52_41
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f904,f597,f909,f660,f602]) ).
fof(f904,plain,
( ! [X0] :
( ~ memberP(sK34,X0)
| sK36 = X0
| ~ ssItem(X0)
| ~ ssItem(sK36)
| ~ ssList(nil)
| memberP(nil,X0) )
| ~ spl52_4 ),
inference(superposition,[],[f357,f599]) ).
fof(f901,plain,
( ~ spl52_21
| spl52_8
| spl52_38 ),
inference(avatar_split_clause,[],[f900,f879,f616,f688]) ).
fof(f900,plain,
( nil = sK35
| ~ ssList(sK35)
| spl52_38 ),
inference(resolution,[],[f881,f513]) ).
fof(f881,plain,
( ~ ssList(sK48(sK35))
| spl52_38 ),
inference(avatar_component_clause,[],[f879]) ).
fof(f893,plain,
( spl52_8
| ~ spl52_21
| spl52_36 ),
inference(avatar_split_clause,[],[f892,f871,f688,f616]) ).
fof(f892,plain,
( ~ ssList(sK35)
| nil = sK35
| spl52_36 ),
inference(resolution,[],[f873,f511]) ).
fof(f873,plain,
( ~ ssItem(sK49(sK35))
| spl52_36 ),
inference(avatar_component_clause,[],[f871]) ).
fof(f891,plain,
( ~ spl52_36
| ~ spl52_40
| ~ spl52_38
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f867,f780,f879,f888,f871]) ).
fof(f867,plain,
( ~ ssList(sK48(sK35))
| sK35 != sK48(sK35)
| ~ ssItem(sK49(sK35))
| ~ spl52_30 ),
inference(superposition,[],[f519,f782]) ).
fof(f886,plain,
( spl52_39
| ~ spl52_36
| ~ spl52_38
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f865,f780,f879,f871,f884]) ).
fof(f884,plain,
( spl52_39
<=> ! [X0] :
( memberP(sK35,X0)
| ~ memberP(sK48(sK35),X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f865,plain,
( ! [X0] :
( ~ ssList(sK48(sK35))
| ~ ssItem(sK49(sK35))
| memberP(sK35,X0)
| ~ ssItem(X0)
| ~ memberP(sK48(sK35),X0) )
| ~ spl52_30 ),
inference(superposition,[],[f358,f782]) ).
fof(f882,plain,
( ~ spl52_36
| spl52_37
| ~ spl52_38
| ~ spl52_30 ),
inference(avatar_split_clause,[],[f866,f780,f879,f875,f871]) ).
fof(f866,plain,
( ~ ssList(sK48(sK35))
| memberP(sK35,sK49(sK35))
| ~ ssItem(sK49(sK35))
| ~ spl52_30 ),
inference(superposition,[],[f577,f782]) ).
fof(f855,plain,
( ~ spl52_5
| spl52_34 ),
inference(avatar_split_clause,[],[f852,f816,f602]) ).
fof(f816,plain,
( spl52_34
<=> segmentP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f852,plain,
( ~ ssList(nil)
| spl52_34 ),
inference(resolution,[],[f818,f533]) ).
fof(f818,plain,
( ~ segmentP(nil,nil)
| spl52_34 ),
inference(avatar_component_clause,[],[f816]) ).
fof(f854,plain,
( ~ spl52_5
| spl52_34 ),
inference(avatar_split_clause,[],[f853,f816,f602]) ).
fof(f853,plain,
( ~ ssList(nil)
| spl52_34 ),
inference(resolution,[],[f818,f497]) ).
fof(f828,plain,
( ~ spl52_5
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f822,f730,f602]) ).
fof(f730,plain,
( spl52_27
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).
fof(f822,plain,
( ~ ssList(nil)
| ~ spl52_27 ),
inference(resolution,[],[f732,f576]) ).
fof(f576,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f565]) ).
fof(f565,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f438]) ).
fof(f438,plain,
! [X0,X1] :
( ~ ssList(X1)
| X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f281]) ).
fof(f732,plain,
( neq(nil,nil)
| ~ spl52_27 ),
inference(avatar_component_clause,[],[f730]) ).
fof(f827,plain,
( ~ spl52_35
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f821,f730,f824]) ).
fof(f824,plain,
( spl52_35
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f821,plain,
( ~ ssItem(nil)
| ~ spl52_27 ),
inference(resolution,[],[f732,f582]) ).
fof(f582,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f554]) ).
fof(f554,plain,
! [X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ neq(X1,X1) ),
inference(equality_resolution,[],[f361]) ).
fof(f361,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssItem(X1)
| X0 != X1
| ~ neq(X0,X1) ),
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) ) ) ),
inference(nnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ( neq(X0,X1)
<=> X0 != X1 ) ) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f819,plain,
( ~ spl52_34
| ~ spl52_8
| spl52_33 ),
inference(avatar_split_clause,[],[f814,f802,f616,f816]) ).
fof(f802,plain,
( spl52_33
<=> segmentP(nil,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f814,plain,
( ~ segmentP(nil,nil)
| ~ spl52_8
| spl52_33 ),
inference(forward_demodulation,[],[f804,f618]) ).
fof(f618,plain,
( nil = sK35
| ~ spl52_8 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f804,plain,
( ~ segmentP(nil,sK35)
| spl52_33 ),
inference(avatar_component_clause,[],[f802]) ).
fof(f811,plain,
( ~ spl52_32
| ~ spl52_8
| spl52_30 ),
inference(avatar_split_clause,[],[f808,f780,f616,f797]) ).
fof(f808,plain,
( nil != cons(sK49(nil),sK48(nil))
| ~ spl52_8
| spl52_30 ),
inference(backward_demodulation,[],[f781,f618]) ).
fof(f781,plain,
( cons(sK49(sK35),sK48(sK35)) != sK35
| spl52_30 ),
inference(avatar_component_clause,[],[f780]) ).
fof(f805,plain,
( ~ spl52_33
| ~ spl52_1
| spl52_28 ),
inference(avatar_split_clause,[],[f793,f740,f584,f802]) ).
fof(f740,plain,
( spl52_28
<=> segmentP(sK34,sK35) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f793,plain,
( ~ segmentP(nil,sK35)
| ~ spl52_1
| spl52_28 ),
inference(backward_demodulation,[],[f742,f586]) ).
fof(f742,plain,
( ~ segmentP(sK34,sK35)
| spl52_28 ),
inference(avatar_component_clause,[],[f740]) ).
fof(f800,plain,
( ~ spl52_32
| ~ spl52_1
| spl52_31 ),
inference(avatar_split_clause,[],[f791,f785,f584,f797]) ).
fof(f791,plain,
( nil != cons(sK49(nil),sK48(nil))
| ~ spl52_1
| spl52_31 ),
inference(backward_demodulation,[],[f786,f586]) ).
fof(f786,plain,
( cons(sK49(sK34),sK48(sK34)) != sK34
| spl52_31 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f789,plain,
( spl52_27
| ~ spl52_8
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f728,f666,f616,f730]) ).
fof(f666,plain,
( spl52_17
<=> neq(sK35,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f728,plain,
( neq(nil,nil)
| ~ spl52_8
| ~ spl52_17 ),
inference(forward_demodulation,[],[f668,f618]) ).
fof(f668,plain,
( neq(sK35,nil)
| ~ spl52_17 ),
inference(avatar_component_clause,[],[f666]) ).
fof(f788,plain,
( spl52_1
| spl52_31
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f776,f611,f785,f584]) ).
fof(f776,plain,
( cons(sK49(sK34),sK48(sK34)) = sK34
| nil = sK34
| ~ spl52_7 ),
inference(resolution,[],[f512,f613]) ).
fof(f783,plain,
( spl52_30
| spl52_8
| ~ spl52_21 ),
inference(avatar_split_clause,[],[f777,f688,f616,f780]) ).
fof(f777,plain,
( nil = sK35
| cons(sK49(sK35),sK48(sK35)) = sK35
| ~ spl52_21 ),
inference(resolution,[],[f512,f690]) ).
fof(f757,plain,
( spl52_29
| ~ spl52_5
| ~ spl52_16
| ~ spl52_4 ),
inference(avatar_split_clause,[],[f752,f597,f660,f602,f754]) ).
fof(f752,plain,
( ~ ssItem(sK36)
| ~ ssList(nil)
| memberP(sK34,sK36)
| ~ spl52_4 ),
inference(superposition,[],[f577,f599]) ).
fof(f743,plain,
( ~ spl52_17
| ~ spl52_21
| ~ spl52_28 ),
inference(avatar_split_clause,[],[f738,f740,f688,f666]) ).
fof(f738,plain,
( ~ segmentP(sK34,sK35)
| ~ ssList(sK35)
| ~ neq(sK35,nil) ),
inference(duplicate_literal_removal,[],[f737]) ).
fof(f737,plain,
( ~ ssList(sK35)
| ~ neq(sK35,nil)
| ~ ssList(sK35)
| ~ segmentP(sK34,sK35) ),
inference(resolution,[],[f497,f547]) ).
fof(f733,plain,
( spl52_27
| ~ spl52_8
| ~ spl52_17 ),
inference(avatar_split_clause,[],[f728,f666,f616,f730]) ).
fof(f726,plain,
( ~ spl52_26
| ~ spl52_8
| spl52_9 ),
inference(avatar_split_clause,[],[f720,f620,f616,f723]) ).
fof(f720,plain,
( ~ memberP(nil,sK36)
| ~ spl52_8
| spl52_9 ),
inference(backward_demodulation,[],[f621,f618]) ).
fof(f621,plain,
( ~ memberP(sK35,sK36)
| spl52_9 ),
inference(avatar_component_clause,[],[f620]) ).
fof(f718,plain,
( ~ spl52_25
| ~ spl52_1
| spl52_4 ),
inference(avatar_split_clause,[],[f713,f597,f584,f715]) ).
fof(f713,plain,
( nil != cons(sK36,nil)
| ~ spl52_1
| spl52_4 ),
inference(forward_demodulation,[],[f598,f586]) ).
fof(f598,plain,
( cons(sK36,nil) != sK34
| spl52_4 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f710,plain,
spl52_24,
inference(avatar_split_clause,[],[f451,f707]) ).
fof(f707,plain,
( spl52_24
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f451,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f705,plain,
spl52_23,
inference(avatar_split_clause,[],[f460,f702]) ).
fof(f702,plain,
( spl52_23
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f460,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f698,plain,
spl52_22,
inference(avatar_split_clause,[],[f363,f695]) ).
fof(f363,plain,
ssItem(sK0),
inference(cnf_transformation,[],[f233]) ).
fof(f233,plain,
( ssItem(sK1)
& sK0 != sK1
& ssItem(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f2,f232,f231]) ).
fof(f231,plain,
( ? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) )
=> ( ? [X1] :
( ssItem(X1)
& sK0 != X1 )
& ssItem(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f232,plain,
( ? [X1] :
( ssItem(X1)
& sK0 != X1 )
=> ( ssItem(sK1)
& sK0 != sK1 ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f693,plain,
spl52_21,
inference(avatar_split_clause,[],[f471,f688]) ).
fof(f471,plain,
ssList(sK35),
inference(cnf_transformation,[],[f299]) ).
fof(f692,plain,
spl52_5,
inference(avatar_split_clause,[],[f413,f602]) ).
fof(f413,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f691,plain,
spl52_21,
inference(avatar_split_clause,[],[f546,f688]) ).
fof(f546,plain,
ssList(sK35),
inference(definition_unfolding,[],[f476,f474]) ).
fof(f476,plain,
ssList(sK33),
inference(cnf_transformation,[],[f299]) ).
fof(f686,plain,
spl52_20,
inference(avatar_split_clause,[],[f434,f683]) ).
fof(f683,plain,
( spl52_20
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f434,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f681,plain,
spl52_7,
inference(avatar_split_clause,[],[f545,f611]) ).
fof(f545,plain,
ssList(sK34),
inference(definition_unfolding,[],[f477,f473]) ).
fof(f477,plain,
ssList(sK32),
inference(cnf_transformation,[],[f299]) ).
fof(f680,plain,
spl52_19,
inference(avatar_split_clause,[],[f520,f677]) ).
fof(f677,plain,
( spl52_19
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f520,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f675,plain,
spl52_18,
inference(avatar_split_clause,[],[f433,f672]) ).
fof(f672,plain,
( spl52_18
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f433,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f670,plain,
( spl52_1
| spl52_16 ),
inference(avatar_split_clause,[],[f468,f660,f584]) ).
fof(f468,plain,
( ssItem(sK36)
| nil = sK34 ),
inference(cnf_transformation,[],[f299]) ).
fof(f669,plain,
spl52_17,
inference(avatar_split_clause,[],[f548,f666]) ).
fof(f548,plain,
neq(sK35,nil),
inference(definition_unfolding,[],[f472,f474]) ).
fof(f472,plain,
neq(sK33,nil),
inference(cnf_transformation,[],[f299]) ).
fof(f663,plain,
( spl52_8
| spl52_16 ),
inference(avatar_split_clause,[],[f464,f660,f616]) ).
fof(f464,plain,
( ssItem(sK36)
| nil = sK35 ),
inference(cnf_transformation,[],[f299]) ).
fof(f658,plain,
spl52_15,
inference(avatar_split_clause,[],[f365,f655]) ).
fof(f365,plain,
ssItem(sK1),
inference(cnf_transformation,[],[f233]) ).
fof(f653,plain,
( spl52_8
| spl52_2 ),
inference(avatar_split_clause,[],[f463,f588,f616]) ).
fof(f588,plain,
( spl52_2
<=> ! [X6] :
( ~ ssItem(X6)
| ~ memberP(sK35,X6)
| sK36 = X6
| ~ leq(sK36,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f463,plain,
! [X6] :
( ~ leq(sK36,X6)
| ~ ssItem(X6)
| ~ memberP(sK35,X6)
| sK36 = X6
| nil = sK35 ),
inference(cnf_transformation,[],[f299]) ).
fof(f650,plain,
( spl52_1
| spl52_9 ),
inference(avatar_split_clause,[],[f469,f620,f584]) ).
fof(f469,plain,
( memberP(sK35,sK36)
| nil = sK34 ),
inference(cnf_transformation,[],[f299]) ).
fof(f649,plain,
~ spl52_14,
inference(avatar_split_clause,[],[f540,f646]) ).
fof(f646,plain,
( spl52_14
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f540,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f644,plain,
( spl52_13
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f579,f602,f641]) ).
fof(f641,plain,
( spl52_13
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f579,plain,
( ~ ssList(nil)
| nil = app(nil,nil) ),
inference(duplicate_literal_removal,[],[f562]) ).
fof(f562,plain,
( ~ ssList(nil)
| ~ ssList(nil)
| nil = app(nil,nil) ),
inference(equality_resolution,[],[f561]) ).
fof(f561,plain,
! [X1] :
( ~ ssList(nil)
| ~ ssList(X1)
| nil = app(nil,X1)
| nil != X1 ),
inference(equality_resolution,[],[f414]) ).
fof(f414,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| nil = app(X0,X1)
| nil != X0
| nil != X1 ),
inference(cnf_transformation,[],[f270]) ).
fof(f639,plain,
spl52_12,
inference(avatar_split_clause,[],[f341,f636]) ).
fof(f636,plain,
( spl52_12
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f341,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f634,plain,
( spl52_4
| spl52_8 ),
inference(avatar_split_clause,[],[f466,f616,f597]) ).
fof(f466,plain,
( nil = sK35
| cons(sK36,nil) = sK34 ),
inference(cnf_transformation,[],[f299]) ).
fof(f633,plain,
~ spl52_11,
inference(avatar_split_clause,[],[f364,f630]) ).
fof(f630,plain,
( spl52_11
<=> sK0 = sK1 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f364,plain,
sK0 != sK1,
inference(cnf_transformation,[],[f233]) ).
fof(f628,plain,
( spl52_10
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f549,f602,f625]) ).
fof(f625,plain,
( spl52_10
<=> frontsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f549,plain,
( ~ ssList(nil)
| frontsegP(nil,nil) ),
inference(equality_resolution,[],[f345]) ).
fof(f345,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f623,plain,
( spl52_8
| spl52_9 ),
inference(avatar_split_clause,[],[f465,f620,f616]) ).
fof(f465,plain,
( memberP(sK35,sK36)
| nil = sK35 ),
inference(cnf_transformation,[],[f299]) ).
fof(f614,plain,
spl52_7,
inference(avatar_split_clause,[],[f462,f611]) ).
fof(f462,plain,
ssList(sK34),
inference(cnf_transformation,[],[f299]) ).
fof(f609,plain,
( ~ spl52_5
| spl52_6 ),
inference(avatar_split_clause,[],[f567,f606,f602]) ).
fof(f606,plain,
( spl52_6
<=> rearsegP(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f567,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f455]) ).
fof(f455,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ( ( nil = X0
| ~ rearsegP(nil,X0) )
& ( rearsegP(nil,X0)
| nil != X0 ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f196]) ).
fof(f196,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/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f600,plain,
( spl52_4
| spl52_1 ),
inference(avatar_split_clause,[],[f470,f584,f597]) ).
fof(f470,plain,
( nil = sK34
| cons(sK36,nil) = sK34 ),
inference(cnf_transformation,[],[f299]) ).
fof(f595,plain,
spl52_3,
inference(avatar_split_clause,[],[f360,f592]) ).
fof(f592,plain,
( spl52_3
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f360,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f590,plain,
( spl52_1
| spl52_2 ),
inference(avatar_split_clause,[],[f467,f588,f584]) ).
fof(f467,plain,
! [X6] :
( ~ ssItem(X6)
| ~ leq(sK36,X6)
| nil = sK34
| sK36 = X6
| ~ memberP(sK35,X6) ),
inference(cnf_transformation,[],[f299]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC084+1 : TPTP v8.1.0. Released v2.4.0.
% 0.03/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 30 18:10:05 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.49 % (25318)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)
% 0.19/0.49 % (25310)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)
% 0.19/0.49 % (25306)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 0.19/0.50 % (25302)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)
% 0.19/0.51 % (25308)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 0.19/0.52 % (25321)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 0.19/0.52 % (25300)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (25313)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 0.19/0.53 % (25298)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)
% 0.19/0.53 % (25299)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)
% 0.19/0.53 % (25297)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)
% 0.19/0.53 % (25324)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 0.19/0.53 % (25304)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.53 % (25307)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)
% 0.19/0.53 % (25301)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)
% 0.19/0.53 % (25305)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)
% 0.19/0.53 % (25304)Instruction limit reached!
% 0.19/0.53 % (25304)------------------------------
% 0.19/0.53 % (25304)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.53 % (25304)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.53 % (25304)Termination reason: Unknown
% 0.19/0.53 % (25304)Termination phase: Preprocessing 2
% 0.19/0.53
% 0.19/0.53 % (25304)Memory used [KB]: 1023
% 0.19/0.53 % (25304)Time elapsed: 0.003 s
% 0.19/0.53 % (25304)Instructions burned: 2 (million)
% 0.19/0.53 % (25304)------------------------------
% 0.19/0.53 % (25304)------------------------------
% 0.19/0.53 TRYING [1]
% 0.19/0.53 % (25320)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.44/0.54 TRYING [2]
% 1.44/0.54 % (25315)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)
% 1.44/0.54 % (25322)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)
% 1.44/0.54 % (25316)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)
% 1.44/0.54 % (25296)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)
% 1.44/0.54 % (25325)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)
% 1.44/0.54 % (25312)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)
% 1.44/0.54 % (25323)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)
% 1.44/0.55 % (25303)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.44/0.55 % (25314)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.44/0.55 % (25309)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.44/0.55 % (25317)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.44/0.55 % (25303)Instruction limit reached!
% 1.44/0.55 % (25303)------------------------------
% 1.44/0.55 % (25303)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.44/0.55 % (25303)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.44/0.55 % (25303)Termination reason: Unknown
% 1.44/0.55 % (25303)Termination phase: Property scanning
% 1.44/0.55
% 1.44/0.55 % (25303)Memory used [KB]: 1279
% 1.44/0.55 % (25303)Time elapsed: 0.005 s
% 1.44/0.55 % (25303)Instructions burned: 9 (million)
% 1.44/0.55 % (25303)------------------------------
% 1.44/0.55 % (25303)------------------------------
% 1.57/0.56 % (25311)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)
% 1.57/0.56 TRYING [3]
% 1.57/0.56 TRYING [3]
% 1.57/0.56 % (25302)Instruction limit reached!
% 1.57/0.56 % (25302)------------------------------
% 1.57/0.56 % (25302)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.56 % (25302)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.56 % (25302)Termination reason: Unknown
% 1.57/0.56 % (25302)Termination phase: Finite model building constraint generation
% 1.57/0.56
% 1.57/0.56 % (25302)Memory used [KB]: 7547
% 1.57/0.56 % (25302)Time elapsed: 0.114 s
% 1.57/0.56 % (25302)Instructions burned: 51 (million)
% 1.57/0.56 % (25302)------------------------------
% 1.57/0.56 % (25302)------------------------------
% 1.57/0.56 % (25319)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)
% 1.57/0.56 TRYING [1]
% 1.57/0.58 % (25297)Refutation not found, incomplete strategy% (25297)------------------------------
% 1.57/0.58 % (25297)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.58 % (25297)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.58 % (25297)Termination reason: Refutation not found, incomplete strategy
% 1.57/0.58
% 1.57/0.58 % (25297)Memory used [KB]: 6140
% 1.57/0.58 % (25297)Time elapsed: 0.185 s
% 1.57/0.58 % (25297)Instructions burned: 30 (million)
% 1.57/0.58 % (25297)------------------------------
% 1.57/0.58 % (25297)------------------------------
% 1.57/0.58 TRYING [2]
% 1.57/0.59 % (25310)Instruction limit reached!
% 1.57/0.59 % (25310)------------------------------
% 1.57/0.59 % (25310)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.59 % (25310)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.59 % (25310)Termination reason: Unknown
% 1.57/0.59 % (25310)Termination phase: Saturation
% 1.57/0.59
% 1.57/0.59 % (25310)Memory used [KB]: 6908
% 1.57/0.59 % (25310)Time elapsed: 0.071 s
% 1.57/0.59 % (25310)Instructions burned: 69 (million)
% 1.57/0.59 % (25310)------------------------------
% 1.57/0.59 % (25310)------------------------------
% 1.57/0.60 TRYING [1]
% 1.57/0.60 % (25306)Instruction limit reached!
% 1.57/0.60 % (25306)------------------------------
% 1.57/0.60 % (25306)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.60 % (25306)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.60 % (25306)Termination reason: Unknown
% 1.57/0.60 % (25306)Termination phase: Saturation
% 1.57/0.60
% 1.57/0.60 % (25306)Memory used [KB]: 6652
% 1.57/0.60 % (25306)Time elapsed: 0.203 s
% 1.57/0.60 % (25306)Instructions burned: 50 (million)
% 1.57/0.60 % (25306)------------------------------
% 1.57/0.60 % (25306)------------------------------
% 1.57/0.60 TRYING [2]
% 1.57/0.61 % (25313)Instruction limit reached!
% 1.57/0.61 % (25313)------------------------------
% 1.57/0.61 % (25313)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61 % (25313)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (25313)Termination reason: Unknown
% 1.57/0.61 % (25313)Termination phase: Finite model building SAT solving
% 1.57/0.61
% 1.57/0.61 % (25313)Memory used [KB]: 7419
% 1.57/0.61 % (25313)Time elapsed: 0.192 s
% 1.57/0.61 % (25313)Instructions burned: 59 (million)
% 1.57/0.61 % (25313)------------------------------
% 1.57/0.61 % (25313)------------------------------
% 1.57/0.61 % (25298)Instruction limit reached!
% 1.57/0.61 % (25298)------------------------------
% 1.57/0.61 % (25298)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61 % (25298)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (25298)Termination reason: Unknown
% 1.57/0.61 % (25298)Termination phase: Saturation
% 1.57/0.61
% 1.57/0.61 % (25298)Memory used [KB]: 1663
% 1.57/0.61 % (25298)Time elapsed: 0.214 s
% 1.57/0.61 % (25298)Instructions burned: 38 (million)
% 1.57/0.61 % (25298)------------------------------
% 1.57/0.61 % (25298)------------------------------
% 1.57/0.61 % (25305)Instruction limit reached!
% 1.57/0.61 % (25305)------------------------------
% 1.57/0.61 % (25305)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.61 % (25305)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.61 % (25305)Termination reason: Unknown
% 1.57/0.61 % (25305)Termination phase: Saturation
% 1.57/0.61
% 1.57/0.61 % (25305)Memory used [KB]: 2046
% 1.57/0.61 % (25305)Time elapsed: 0.203 s
% 1.57/0.61 % (25305)Instructions burned: 51 (million)
% 1.57/0.61 % (25305)------------------------------
% 1.57/0.61 % (25305)------------------------------
% 1.57/0.62 % (25301)Instruction limit reached!
% 1.57/0.62 % (25301)------------------------------
% 1.57/0.62 % (25301)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.57/0.62 % (25301)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.57/0.62 % (25301)Termination reason: Unknown
% 1.57/0.62 % (25301)Termination phase: Saturation
% 1.57/0.62
% 1.57/0.62 % (25301)Memory used [KB]: 6268
% 1.57/0.62 % (25301)Time elapsed: 0.214 s
% 1.57/0.62 % (25301)Instructions burned: 49 (million)
% 1.57/0.62 % (25301)------------------------------
% 1.57/0.62 % (25301)------------------------------
% 2.14/0.63 TRYING [3]
% 2.14/0.63 % (25300)Instruction limit reached!
% 2.14/0.63 % (25300)------------------------------
% 2.14/0.63 % (25300)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.63 % (25300)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.63 % (25300)Termination reason: Unknown
% 2.14/0.63 % (25300)Termination phase: Saturation
% 2.14/0.63
% 2.14/0.63 % (25300)Memory used [KB]: 6524
% 2.14/0.63 % (25300)Time elapsed: 0.223 s
% 2.14/0.63 % (25300)Instructions burned: 52 (million)
% 2.14/0.63 % (25300)------------------------------
% 2.14/0.63 % (25300)------------------------------
% 2.14/0.64 % (25299)Instruction limit reached!
% 2.14/0.64 % (25299)------------------------------
% 2.14/0.64 % (25299)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.64 % (25299)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.64 % (25299)Termination reason: Unknown
% 2.14/0.64 % (25299)Termination phase: Saturation
% 2.14/0.64
% 2.14/0.64 % (25299)Memory used [KB]: 6652
% 2.14/0.64 % (25299)Time elapsed: 0.222 s
% 2.14/0.64 % (25299)Instructions burned: 51 (million)
% 2.14/0.64 % (25299)------------------------------
% 2.14/0.64 % (25299)------------------------------
% 2.14/0.66 % (25326)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 (2998ds/388Mi)
% 2.14/0.67 % (25322)Instruction limit reached!
% 2.14/0.67 % (25322)------------------------------
% 2.14/0.67 % (25322)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.14/0.67 % (25322)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.14/0.67 % (25322)Termination reason: Unknown
% 2.14/0.67 % (25322)Termination phase: Saturation
% 2.14/0.67
% 2.14/0.67 % (25322)Memory used [KB]: 6908
% 2.14/0.67 % (25322)Time elapsed: 0.037 s
% 2.14/0.67 % (25322)Instructions burned: 68 (million)
% 2.14/0.67 % (25322)------------------------------
% 2.14/0.67 % (25322)------------------------------
% 2.37/0.69 % (25307)Instruction limit reached!
% 2.37/0.69 % (25307)------------------------------
% 2.37/0.69 % (25307)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.69 % (25307)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.69 % (25307)Termination reason: Unknown
% 2.37/0.69 % (25307)Termination phase: Saturation
% 2.37/0.69
% 2.37/0.69 % (25307)Memory used [KB]: 7675
% 2.37/0.69 % (25307)Time elapsed: 0.274 s
% 2.37/0.69 % (25307)Instructions burned: 101 (million)
% 2.37/0.69 % (25307)------------------------------
% 2.37/0.69 % (25307)------------------------------
% 2.37/0.69 % (25308)Instruction limit reached!
% 2.37/0.69 % (25308)------------------------------
% 2.37/0.69 % (25308)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.69 % (25308)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.69 % (25308)Termination reason: Unknown
% 2.37/0.69 % (25308)Termination phase: Saturation
% 2.37/0.69
% 2.37/0.69 % (25308)Memory used [KB]: 7164
% 2.37/0.69 % (25308)Time elapsed: 0.298 s
% 2.37/0.69 % (25308)Instructions burned: 102 (million)
% 2.37/0.69 % (25308)------------------------------
% 2.37/0.69 % (25308)------------------------------
% 2.37/0.69 % (25327)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)
% 2.37/0.69 % (25328)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)
% 2.37/0.71 % (25311)Instruction limit reached!
% 2.37/0.71 % (25311)------------------------------
% 2.37/0.71 % (25311)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.71 % (25311)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.71 % (25311)Termination reason: Unknown
% 2.37/0.71 % (25311)Termination phase: Saturation
% 2.37/0.71
% 2.37/0.71 % (25311)Memory used [KB]: 2046
% 2.37/0.71 % (25311)Time elapsed: 0.290 s
% 2.37/0.71 % (25311)Instructions burned: 76 (million)
% 2.37/0.71 % (25311)------------------------------
% 2.37/0.71 % (25311)------------------------------
% 2.37/0.72 % (25315)Instruction limit reached!
% 2.37/0.72 % (25315)------------------------------
% 2.37/0.72 % (25315)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.72 % (25315)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.72 % (25315)Termination reason: Unknown
% 2.37/0.72 % (25315)Termination phase: Saturation
% 2.37/0.72
% 2.37/0.72 % (25315)Memory used [KB]: 2942
% 2.37/0.72 % (25315)Time elapsed: 0.293 s
% 2.37/0.72 % (25315)Instructions burned: 101 (million)
% 2.37/0.72 % (25315)------------------------------
% 2.37/0.72 % (25315)------------------------------
% 2.37/0.73 % (25330)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.37/0.73 % (25314)Instruction limit reached!
% 2.37/0.73 % (25314)------------------------------
% 2.37/0.73 % (25314)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.73 % (25314)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.73 % (25314)Termination reason: Unknown
% 2.37/0.73 % (25314)Termination phase: Saturation
% 2.37/0.73
% 2.37/0.73 % (25314)Memory used [KB]: 7547
% 2.37/0.73 % (25314)Time elapsed: 0.338 s
% 2.37/0.73 % (25314)Instructions burned: 101 (million)
% 2.37/0.73 % (25314)------------------------------
% 2.37/0.73 % (25314)------------------------------
% 2.37/0.73 % (25332)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)
% 2.37/0.73 % (25312)Instruction limit reached!
% 2.37/0.73 % (25312)------------------------------
% 2.37/0.73 % (25312)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.73 % (25312)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.73 % (25312)Termination reason: Unknown
% 2.37/0.73 % (25312)Termination phase: Saturation
% 2.37/0.73
% 2.37/0.73 % (25312)Memory used [KB]: 6908
% 2.37/0.73 % (25312)Time elapsed: 0.324 s
% 2.37/0.73 % (25312)Instructions burned: 100 (million)
% 2.37/0.73 % (25312)------------------------------
% 2.37/0.73 % (25312)------------------------------
% 2.37/0.73 % (25329)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.37/0.74 % (25309)Instruction limit reached!
% 2.37/0.74 % (25309)------------------------------
% 2.37/0.74 % (25309)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.37/0.74 % (25309)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.37/0.74 % (25309)Termination reason: Unknown
% 2.37/0.74 % (25309)Termination phase: Saturation
% 2.37/0.74
% 2.37/0.74 % (25309)Memory used [KB]: 7291
% 2.37/0.74 % (25309)Time elapsed: 0.325 s
% 2.37/0.74 % (25309)Instructions burned: 99 (million)
% 2.37/0.74 % (25309)------------------------------
% 2.37/0.74 % (25309)------------------------------
% 2.72/0.74 % (25331)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)
% 2.72/0.74 % (25333)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)
% 2.72/0.75 TRYING [4]
% 2.72/0.75 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.72/0.75 % (25335)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)
% 2.72/0.75 % (25334)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)
% 2.72/0.76 % (25337)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 (2997ds/2016Mi)
% 2.72/0.76 % (25336)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)
% 2.77/0.79 % (25317)Instruction limit reached!
% 2.77/0.79 % (25317)------------------------------
% 2.77/0.79 % (25317)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.77/0.79 % (25317)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.77/0.79 % (25317)Termination reason: Unknown
% 2.77/0.79 % (25317)Termination phase: Saturation
% 2.77/0.79
% 2.77/0.79 % (25317)Memory used [KB]: 7675
% 2.77/0.79 % (25317)Time elapsed: 0.402 s
% 2.77/0.79 % (25317)Instructions burned: 138 (million)
% 2.77/0.79 % (25317)------------------------------
% 2.77/0.79 % (25317)------------------------------
% 2.77/0.80 % (25338)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.95/0.82 % (25323)Instruction limit reached!
% 2.95/0.82 % (25323)------------------------------
% 2.95/0.82 % (25323)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.82 % (25323)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.82 % (25323)Termination reason: Unknown
% 2.95/0.82 % (25323)Termination phase: Saturation
% 2.95/0.82
% 2.95/0.82 % (25323)Memory used [KB]: 3326
% 2.95/0.82 % (25323)Time elapsed: 0.437 s
% 2.95/0.82 % (25323)Instructions burned: 179 (million)
% 2.95/0.82 % (25323)------------------------------
% 2.95/0.82 % (25323)------------------------------
% 2.95/0.82 % (25339)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)
% 2.95/0.83 % (25340)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)
% 2.95/0.84 % (25316)Instruction limit reached!
% 2.95/0.84 % (25316)------------------------------
% 2.95/0.84 % (25316)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.95/0.84 % (25316)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.95/0.84 % (25316)Termination reason: Unknown
% 2.95/0.84 % (25316)Termination phase: Saturation
% 2.95/0.84
% 2.95/0.84 % (25316)Memory used [KB]: 7675
% 2.95/0.84 % (25316)Time elapsed: 0.428 s
% 2.95/0.84 % (25316)Instructions burned: 176 (million)
% 2.95/0.84 % (25316)------------------------------
% 2.95/0.84 % (25316)------------------------------
% 3.02/0.86 % (25328)Instruction limit reached!
% 3.02/0.86 % (25328)------------------------------
% 3.02/0.86 % (25328)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.86 % (25328)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.86 % (25328)Termination reason: Unknown
% 3.02/0.86 % (25328)Termination phase: Saturation
% 3.02/0.86
% 3.02/0.86 % (25328)Memory used [KB]: 7164
% 3.02/0.86 % (25328)Time elapsed: 0.228 s
% 3.02/0.86 % (25328)Instructions burned: 90 (million)
% 3.02/0.86 % (25328)------------------------------
% 3.02/0.86 % (25328)------------------------------
% 3.02/0.86 % (25342)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)
% 3.02/0.86 % (25343)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)
% 3.02/0.87 % (25341)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.02/0.87 % (25344)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)
% 3.02/0.87 % (25345)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)
% 3.02/0.88 % (25333)Instruction limit reached!
% 3.02/0.88 % (25333)------------------------------
% 3.02/0.88 % (25333)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.88 % (25333)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.88 % (25333)Termination reason: Unknown
% 3.02/0.88 % (25333)Termination phase: Saturation
% 3.02/0.88
% 3.02/0.88 % (25333)Memory used [KB]: 7036
% 3.02/0.88 % (25333)Time elapsed: 0.037 s
% 3.02/0.88 % (25333)Instructions burned: 68 (million)
% 3.02/0.88 % (25333)------------------------------
% 3.02/0.88 % (25333)------------------------------
% 3.02/0.92 % (25346)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.02/0.93 % (25336)Instruction limit reached!
% 3.02/0.93 % (25336)------------------------------
% 3.02/0.93 % (25336)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.02/0.93 % (25336)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.02/0.93 % (25336)Termination reason: Unknown
% 3.02/0.93 % (25336)Termination phase: Saturation
% 3.02/0.93
% 3.02/0.93 % (25336)Memory used [KB]: 7675
% 3.02/0.93 % (25336)Time elapsed: 0.267 s
% 3.02/0.93 % (25336)Instructions burned: 90 (million)
% 3.02/0.93 % (25336)------------------------------
% 3.02/0.93 % (25336)------------------------------
% 3.40/0.96 % (25347)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.48/0.98 % (25348)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)
% 3.48/1.00 % (25343)Instruction limit reached!
% 3.48/1.00 % (25343)------------------------------
% 3.48/1.00 % (25343)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.48/1.00 % (25343)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.48/1.00 % (25343)Termination reason: Unknown
% 3.48/1.00 % (25343)Termination phase: Saturation
% 3.48/1.00
% 3.48/1.00 % (25343)Memory used [KB]: 7036
% 3.48/1.00 % (25343)Time elapsed: 0.036 s
% 3.48/1.00 % (25343)Instructions burned: 68 (million)
% 3.48/1.00 % (25343)------------------------------
% 3.48/1.00 % (25343)------------------------------
% 3.48/1.01 % (25349)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)
% 3.48/1.02 % (25350)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 3.68/1.06 % (25351)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 (2994ds/9965Mi)
% 5.72/1.09 % (25327)Instruction limit reached!
% 5.72/1.09 % (25327)------------------------------
% 5.72/1.09 % (25327)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 5.72/1.09 % (25327)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 5.72/1.09 % (25327)Termination reason: Unknown
% 5.72/1.09 % (25327)Termination phase: Saturation
% 5.72/1.09
% 5.72/1.09 % (25327)Memory used [KB]: 4221
% 5.72/1.09 % (25327)Time elapsed: 0.479 s
% 5.72/1.09 % (25327)Instructions burned: 212 (million)
% 5.72/1.09 % (25327)------------------------------
% 5.72/1.09 % (25327)------------------------------
% 6.18/1.14 % (25352)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)
% 6.18/1.15 % (25348)Instruction limit reached!
% 6.18/1.15 % (25348)------------------------------
% 6.18/1.15 % (25348)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.18/1.15 % (25348)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.18/1.15 % (25348)Termination reason: Unknown
% 6.18/1.15 % (25348)Termination phase: Saturation
% 6.18/1.15
% 6.18/1.15 % (25348)Memory used [KB]: 7803
% 6.18/1.15 % (25348)Time elapsed: 0.278 s
% 6.18/1.15 % (25348)Instructions burned: 90 (million)
% 6.18/1.15 % (25348)------------------------------
% 6.18/1.15 % (25348)------------------------------
% 6.18/1.15 TRYING [5]
% 6.86/1.23 % (25325)Instruction limit reached!
% 6.86/1.23 % (25325)------------------------------
% 6.86/1.23 % (25325)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.23 % (25325)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.86/1.23 % (25325)Termination reason: Unknown
% 6.86/1.23 % (25325)Termination phase: Saturation
% 6.86/1.23
% 6.86/1.23 % (25325)Memory used [KB]: 11897
% 6.86/1.23 % (25325)Time elapsed: 0.760 s
% 6.86/1.23 % (25325)Instructions burned: 355 (million)
% 6.86/1.23 % (25325)------------------------------
% 6.86/1.23 % (25325)------------------------------
% 6.86/1.23 % (25321)Instruction limit reached!
% 6.86/1.23 % (25321)------------------------------
% 6.86/1.23 % (25321)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.86/1.23 % (25321)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.86/1.23 % (25321)Termination reason: Unknown
% 6.86/1.23 % (25321)Termination phase: Saturation
% 6.86/1.23
% 6.86/1.23 % (25321)Memory used [KB]: 12409
% 6.86/1.23 % (25321)Time elapsed: 0.814 s
% 6.86/1.23 % (25321)Instructions burned: 500 (million)
% 6.86/1.23 % (25321)------------------------------
% 6.86/1.23 % (25321)------------------------------
% 6.86/1.25 % (25353)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)
% 7.10/1.27 % (25318)Instruction limit reached!
% 7.10/1.27 % (25318)------------------------------
% 7.10/1.27 % (25318)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.10/1.27 % (25318)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.10/1.27 % (25318)Termination reason: Unknown
% 7.10/1.27 % (25318)Termination phase: Saturation
% 7.10/1.27
% 7.10/1.27 % (25318)Memory used [KB]: 3837
% 7.10/1.27 % (25318)Time elapsed: 0.809 s
% 7.10/1.27 % (25318)Instructions burned: 498 (million)
% 7.10/1.27 % (25318)------------------------------
% 7.10/1.27 % (25318)------------------------------
% 7.10/1.28 % (25354)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 (2991ds/1824Mi)
% 7.60/1.35 % (25326)Instruction limit reached!
% 7.60/1.35 % (25326)------------------------------
% 7.60/1.35 % (25326)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.60/1.35 % (25326)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.60/1.35 % (25326)Termination reason: Unknown
% 7.60/1.35 % (25326)Termination phase: Saturation
% 7.60/1.35
% 7.60/1.35 % (25326)Memory used [KB]: 9722
% 7.60/1.35 % (25326)Time elapsed: 0.796 s
% 7.60/1.35 % (25326)Instructions burned: 388 (million)
% 7.60/1.35 % (25326)------------------------------
% 7.60/1.35 % (25326)------------------------------
% 7.60/1.36 % (25356)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9707Mi)
% 7.82/1.37 % (25355)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.82/1.38 % (25324)Instruction limit reached!
% 7.82/1.38 % (25324)------------------------------
% 7.82/1.38 % (25324)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.82/1.38 % (25324)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.82/1.38 % (25324)Termination reason: Unknown
% 7.82/1.38 % (25324)Termination phase: Saturation
% 7.82/1.38
% 7.82/1.38 % (25324)Memory used [KB]: 10746
% 7.82/1.38 % (25324)Time elapsed: 0.957 s
% 7.82/1.38 % (25324)Instructions burned: 439 (million)
% 7.82/1.38 % (25324)------------------------------
% 7.82/1.38 % (25324)------------------------------
% 7.82/1.41 % (25357)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 (2990ds/90Mi)
% 8.20/1.45 % (25320)Instruction limit reached!
% 8.20/1.45 % (25320)------------------------------
% 8.20/1.45 % (25320)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.20/1.45 % (25320)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.20/1.45 % (25320)Termination reason: Unknown
% 8.20/1.45 % (25320)Termination phase: Saturation
% 8.20/1.45
% 8.20/1.45 % (25320)Memory used [KB]: 12792
% 8.20/1.45 % (25320)Time elapsed: 1.049 s
% 8.20/1.45 % (25320)Instructions burned: 482 (million)
% 8.20/1.45 % (25320)------------------------------
% 8.20/1.45 % (25320)------------------------------
% 8.41/1.47 % (25319)Instruction limit reached!
% 8.41/1.47 % (25319)------------------------------
% 8.41/1.47 % (25319)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.41/1.48 % (25319)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.41/1.48 % (25319)Termination reason: Unknown
% 8.41/1.48 % (25319)Termination phase: Saturation
% 8.41/1.48
% 8.41/1.48 % (25319)Memory used [KB]: 11385
% 8.41/1.48 % (25319)Time elapsed: 1.073 s
% 8.41/1.48 % (25319)Instructions burned: 469 (million)
% 8.41/1.48 % (25319)------------------------------
% 8.41/1.48 % (25319)------------------------------
% 8.41/1.50 % (25358)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)
% 8.41/1.50 % (25332)Instruction limit reached!
% 8.41/1.50 % (25332)------------------------------
% 8.41/1.50 % (25332)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.41/1.50 % (25332)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.41/1.50 % (25332)Termination reason: Unknown
% 8.41/1.50 % (25332)Termination phase: Saturation
% 8.41/1.50
% 8.41/1.50 % (25332)Memory used [KB]: 3837
% 8.41/1.50 % (25332)Time elapsed: 0.803 s
% 8.41/1.50 % (25332)Instructions burned: 655 (million)
% 8.41/1.50 % (25332)------------------------------
% 8.41/1.50 % (25332)------------------------------
% 8.41/1.51 % (25359)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)
% 8.81/1.56 % (25361)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)
% 8.92/1.56 % (25357)Instruction limit reached!
% 8.92/1.56 % (25357)------------------------------
% 8.92/1.56 % (25357)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.92/1.56 % (25357)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.92/1.56 % (25357)Termination reason: Unknown
% 8.92/1.56 % (25357)Termination phase: Saturation
% 8.92/1.56
% 8.92/1.56 % (25357)Memory used [KB]: 8443
% 8.92/1.56 % (25357)Time elapsed: 0.249 s
% 8.92/1.56 % (25357)Instructions burned: 90 (million)
% 8.92/1.56 % (25357)------------------------------
% 8.92/1.56 % (25357)------------------------------
% 8.92/1.61 % (25360)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)
% 8.92/1.62 % (25362)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 (2988ds/37001Mi)
% 10.48/1.70 % (25363)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=10187:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/10187Mi)
% 11.82/1.86 TRYING [6]
% 12.46/1.95 % (25331)Instruction limit reached!
% 12.46/1.95 % (25331)------------------------------
% 12.46/1.95 % (25331)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.46/1.95 % (25331)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.46/1.95 % (25331)Termination reason: Unknown
% 12.46/1.95 % (25331)Termination phase: Saturation
% 12.46/1.95
% 12.46/1.95 % (25331)Memory used [KB]: 17270
% 12.46/1.95 % (25331)Time elapsed: 1.316 s
% 12.46/1.95 % (25331)Instructions burned: 748 (million)
% 12.46/1.95 % (25331)------------------------------
% 12.46/1.95 % (25331)------------------------------
% 13.93/2.13 % (25364)ott+3_1:1_atotf=0.2:fsr=off:kws=precedence:sp=weighted_frequency:spb=intro:tgt=ground:i=29337:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/29337Mi)
% 15.86/2.36 % (25329)Instruction limit reached!
% 15.86/2.36 % (25329)------------------------------
% 15.86/2.36 % (25329)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.86/2.36 % (25329)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.86/2.36 % (25329)Termination reason: Unknown
% 15.86/2.36 % (25329)Termination phase: Saturation
% 15.86/2.36
% 15.86/2.36 % (25329)Memory used [KB]: 18166
% 15.86/2.36 % (25329)Time elapsed: 1.663 s
% 15.86/2.36 % (25329)Instructions burned: 920 (million)
% 15.86/2.36 % (25329)------------------------------
% 15.86/2.36 % (25329)------------------------------
% 16.59/2.45 % (25330)Instruction limit reached!
% 16.59/2.45 % (25330)------------------------------
% 16.59/2.45 % (25330)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.59/2.45 % (25330)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.59/2.45 % (25330)Termination reason: Unknown
% 16.59/2.45 % (25330)Termination phase: Saturation
% 16.59/2.45
% 16.59/2.45 % (25330)Memory used [KB]: 21108
% 16.59/2.45 % (25330)Time elapsed: 1.794 s
% 16.59/2.45 % (25330)Instructions burned: 934 (million)
% 16.59/2.45 % (25330)------------------------------
% 16.59/2.45 % (25330)------------------------------
% 16.59/2.51 % (25334)Instruction limit reached!
% 16.59/2.51 % (25334)------------------------------
% 16.59/2.51 % (25334)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.59/2.51 % (25334)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.59/2.51 % (25334)Termination reason: Unknown
% 16.59/2.51 % (25334)Termination phase: Saturation
% 16.59/2.51
% 16.59/2.51 % (25334)Memory used [KB]: 14200
% 16.59/2.51 % (25334)Time elapsed: 1.869 s
% 16.59/2.51 % (25334)Instructions burned: 940 (million)
% 16.59/2.51 % (25334)------------------------------
% 16.59/2.51 % (25334)------------------------------
% 16.59/2.51 % (25365)ins+10_1:16_bce=on:fde=unused:igpr=on:igs=35:igwr=on:sp=const_frequency:tgt=full:to=lpo:i=10147:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/10147Mi)
% 17.30/2.55 % (25335)Instruction limit reached!
% 17.30/2.55 % (25335)------------------------------
% 17.30/2.55 % (25335)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 17.30/2.55 % (25335)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 17.30/2.55 % (25335)Termination reason: Unknown
% 17.30/2.55 % (25335)Termination phase: Saturation
% 17.30/2.55
% 17.30/2.55 % (25335)Memory used [KB]: 19829
% 17.30/2.55 % (25335)Time elapsed: 1.121 s
% 17.30/2.55 % (25335)Instructions burned: 982 (million)
% 17.30/2.55 % (25335)------------------------------
% 17.30/2.55 % (25335)------------------------------
% 17.63/2.60 % (25366)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=38056:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/38056Mi)
% 17.63/2.63 TRYING [1]
% 18.06/2.65 % (25367)fmb+10_1:1_dr=on:fmbsr=2.0:newcnf=on:nm=2:i=33239:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/33239Mi)
% 18.06/2.65 TRYING [2]
% 18.10/2.66 TRYING [3]
% 18.10/2.69 % (25368)fmb+10_1:1_fmbas=predicate:gsp=on:nm=2:i=20987:si=on:rawr=on:rtra=on_0 on theBenchmark for (2977ds/20987Mi)
% 18.10/2.69 TRYING [1]
% 18.10/2.70 TRYING [2]
% 18.75/2.73 TRYING [3]
% 18.75/2.74 TRYING [1]
% 18.75/2.74 TRYING [2]
% 19.08/2.77 TRYING [3]
% 19.08/2.77 TRYING [4]
% 19.80/2.87 % (25359)First to succeed.
% 19.80/2.88 TRYING [4]
% 20.08/2.90 % (25359)Refutation found. Thanks to Tanya!
% 20.08/2.90 % SZS status Theorem for theBenchmark
% 20.08/2.90 % SZS output start Proof for theBenchmark
% See solution above
% 20.08/2.91 % (25359)------------------------------
% 20.08/2.91 % (25359)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 20.08/2.91 % (25359)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 20.08/2.91 % (25359)Termination reason: Refutation
% 20.08/2.91
% 20.08/2.91 % (25359)Memory used [KB]: 3709
% 20.08/2.91 % (25359)Time elapsed: 1.450 s
% 20.08/2.91 % (25359)Instructions burned: 1081 (million)
% 20.08/2.91 % (25359)------------------------------
% 20.08/2.91 % (25359)------------------------------
% 20.08/2.91 % (25295)Success in time 2.55 s
%------------------------------------------------------------------------------