TSTP Solution File: SWC400+1 by SnakeForV-SAT---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : SWC400+1 : TPTP v8.1.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 18:43:37 EDT 2022
% Result : Theorem 16.25s 2.42s
% Output : Refutation 16.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 354
% Syntax : Number of formulae : 1212 ( 59 unt; 0 def)
% Number of atoms : 4513 ( 683 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 6019 (2718 ~;2828 |; 54 &)
% ( 328 <=>; 91 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 327 ( 325 usr; 312 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 8 con; 0-2 aty)
% Number of variables : 807 ( 778 !; 29 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2918,plain,
$false,
inference(avatar_smt_refutation,[],[f465,f470,f471,f476,f481,f482,f487,f492,f497,f502,f507,f512,f517,f522,f523,f527,f534,f539,f544,f550,f556,f561,f566,f586,f595,f619,f623,f643,f647,f651,f660,f664,f667,f676,f680,f684,f688,f697,f701,f706,f710,f714,f730,f735,f740,f745,f761,f766,f771,f786,f788,f792,f801,f806,f828,f838,f842,f849,f854,f863,f867,f871,f875,f903,f908,f913,f918,f923,f928,f953,f962,f971,f980,f990,f1039,f1044,f1050,f1060,f1066,f1071,f1076,f1085,f1094,f1099,f1104,f1113,f1127,f1132,f1138,f1144,f1149,f1154,f1159,f1164,f1170,f1175,f1180,f1182,f1201,f1213,f1221,f1244,f1262,f1313,f1318,f1323,f1362,f1367,f1372,f1404,f1409,f1414,f1419,f1439,f1443,f1462,f1467,f1472,f1491,f1495,f1499,f1503,f1529,f1543,f1548,f1554,f1559,f1564,f1569,f1575,f1580,f1588,f1595,f1602,f1608,f1633,f1651,f1656,f1660,f1661,f1665,f1666,f1684,f1688,f1692,f1693,f1695,f1698,f1710,f1714,f1718,f1722,f1730,f1734,f1738,f1742,f1757,f1765,f1767,f1781,f1786,f1791,f1796,f1802,f1808,f1813,f1818,f1868,f1874,f1907,f1908,f1909,f1913,f1919,f1926,f1972,f1980,f1982,f1992,f1997,f2002,f2007,f2012,f2018,f2042,f2069,f2175,f2179,f2180,f2184,f2188,f2192,f2196,f2201,f2205,f2210,f2214,f2215,f2220,f2225,f2253,f2266,f2270,f2275,f2280,f2284,f2289,f2294,f2298,f2302,f2306,f2310,f2311,f2312,f2341,f2345,f2349,f2353,f2362,f2366,f2370,f2374,f2375,f2379,f2380,f2385,f2413,f2418,f2423,f2427,f2431,f2435,f2436,f2440,f2444,f2448,f2457,f2458,f2480,f2482,f2483,f2487,f2491,f2493,f2514,f2518,f2522,f2523,f2524,f2539,f2544,f2549,f2554,f2556,f2559,f2586,f2590,f2598,f2602,f2606,f2610,f2614,f2618,f2619,f2620,f2647,f2652,f2657,f2662,f2667,f2672,f2677,f2702,f2706,f2710,f2714,f2715,f2719,f2723,f2727,f2728,f2753,f2757,f2761,f2765,f2769,f2770,f2771,f2775,f2779,f2804,f2808,f2812,f2816,f2817,f2821,f2825,f2829,f2830,f2855,f2859,f2863,f2867,f2868,f2872,f2873,f2877,f2881,f2891,f2896,f2900,f2904,f2908,f2913,f2917]) ).
fof(f2917,plain,
( ~ spl52_49
| spl52_311
| ~ spl52_8
| ~ spl52_28 ),
inference(avatar_split_clause,[],[f2911,f641,f494,f2915,f783]) ).
fof(f783,plain,
( spl52_49
<=> ssList(sK21(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_49])]) ).
fof(f2915,plain,
( spl52_311
<=> ! [X0] :
( ~ ssItem(X0)
| memberP(sK7,X0)
| ~ memberP(sK21(sK7,sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_311])]) ).
fof(f494,plain,
( spl52_8
<=> ssList(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_8])]) ).
fof(f641,plain,
( spl52_28
<=> ! [X1] :
( ~ ssItem(X1)
| ~ memberP(app(sK21(sK7,sK8),sK8),X1)
| memberP(sK7,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_28])]) ).
fof(f2911,plain,
( ! [X0] :
( ~ ssList(sK8)
| ~ ssItem(X0)
| ~ ssList(sK21(sK7,sK8))
| ~ memberP(sK21(sK7,sK8),X0)
| memberP(sK7,X0) )
| ~ spl52_28 ),
inference(duplicate_literal_removal,[],[f2909]) ).
fof(f2909,plain,
( ! [X0] :
( memberP(sK7,X0)
| ~ ssItem(X0)
| ~ memberP(sK21(sK7,sK8),X0)
| ~ ssList(sK8)
| ~ ssList(sK21(sK7,sK8))
| ~ ssItem(X0) )
| ~ spl52_28 ),
inference(resolution,[],[f642,f239]) ).
fof(f239,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssItem(X0)
| ~ ssList(X2)
| ~ memberP(X1,X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X1,X0)
| memberP(X2,X0) ) )
| ~ ssList(X2) ) ) ),
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(f642,plain,
( ! [X1] :
( ~ memberP(app(sK21(sK7,sK8),sK8),X1)
| ~ ssItem(X1)
| memberP(sK7,X1) )
| ~ spl52_28 ),
inference(avatar_component_clause,[],[f641]) ).
fof(f2913,plain,
( ~ spl52_8
| ~ spl52_49
| spl52_244
| ~ spl52_28 ),
inference(avatar_split_clause,[],[f2912,f641,f2489,f783,f494]) ).
fof(f2489,plain,
( spl52_244
<=> ! [X2] :
( ~ ssItem(X2)
| memberP(sK7,X2)
| ~ memberP(sK8,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_244])]) ).
fof(f2912,plain,
( ! [X1] :
( ~ ssItem(X1)
| memberP(sK7,X1)
| ~ ssList(sK21(sK7,sK8))
| ~ memberP(sK8,X1)
| ~ ssList(sK8) )
| ~ spl52_28 ),
inference(duplicate_literal_removal,[],[f2910]) ).
fof(f2910,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(sK8)
| ~ memberP(sK8,X1)
| ~ ssItem(X1)
| memberP(sK7,X1)
| ~ ssList(sK21(sK7,sK8)) )
| ~ spl52_28 ),
inference(resolution,[],[f642,f238]) ).
fof(f238,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ memberP(X2,X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f2908,plain,
( ~ spl52_27
| spl52_310
| ~ spl52_246 ),
inference(avatar_split_clause,[],[f2883,f2516,f2906,f637]) ).
fof(f637,plain,
( spl52_27
<=> ssList(app(sK21(sK7,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_27])]) ).
fof(f2906,plain,
( spl52_310
<=> ! [X3] :
( ~ ssList(app(X3,sK7))
| ~ ssList(X3)
| app(app(sK21(app(X3,sK7),app(sK21(sK7,sK8),sK8)),app(sK21(sK7,sK8),sK8)),sK22(app(X3,sK7),app(sK21(sK7,sK8),sK8))) = app(X3,sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_310])]) ).
fof(f2516,plain,
( spl52_246
<=> ! [X8] :
( ~ ssList(X8)
| segmentP(app(X8,sK7),app(sK21(sK7,sK8),sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_246])]) ).
fof(f2883,plain,
( ! [X3] :
( ~ ssList(app(X3,sK7))
| app(app(sK21(app(X3,sK7),app(sK21(sK7,sK8),sK8)),app(sK21(sK7,sK8),sK8)),sK22(app(X3,sK7),app(sK21(sK7,sK8),sK8))) = app(X3,sK7)
| ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ ssList(X3) )
| ~ spl52_246 ),
inference(resolution,[],[f2517,f299]) ).
fof(f299,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| app(app(sK21(X0,X1),X1),sK22(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f167]) ).
fof(f167,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ( ? [X2] :
( ? [X3] :
( ssList(X3)
& app(app(X2,X1),X3) = X0 )
& ssList(X2) )
<=> segmentP(X0,X1) ) ) ),
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(f2517,plain,
( ! [X8] :
( segmentP(app(X8,sK7),app(sK21(sK7,sK8),sK8))
| ~ ssList(X8) )
| ~ spl52_246 ),
inference(avatar_component_clause,[],[f2516]) ).
fof(f2904,plain,
( ~ spl52_27
| spl52_309
| ~ spl52_246 ),
inference(avatar_split_clause,[],[f2884,f2516,f2902,f637]) ).
fof(f2902,plain,
( spl52_309
<=> ! [X4,X5] :
( ~ ssList(app(X4,sK7))
| ~ ssList(X5)
| ~ ssList(X4)
| segmentP(X5,app(sK21(sK7,sK8),sK8))
| ~ segmentP(X5,app(X4,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_309])]) ).
fof(f2884,plain,
( ! [X4,X5] :
( ~ ssList(app(X4,sK7))
| ~ segmentP(X5,app(X4,sK7))
| segmentP(X5,app(sK21(sK7,sK8),sK8))
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(sK21(sK7,sK8),sK8)) )
| ~ spl52_246 ),
inference(resolution,[],[f2517,f326]) ).
fof(f326,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| ~ ssList(X2)
| segmentP(X0,X2)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ segmentP(X1,X2)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X0,X1)
& segmentP(X1,X2) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f2900,plain,
( ~ spl52_27
| spl52_308
| ~ spl52_246 ),
inference(avatar_split_clause,[],[f2885,f2516,f2898,f637]) ).
fof(f2898,plain,
( spl52_308
<=> ! [X6] :
( ~ ssList(X6)
| ~ ssList(app(X6,sK7))
| ~ segmentP(app(sK21(sK7,sK8),sK8),app(X6,sK7))
| app(X6,sK7) = app(sK21(sK7,sK8),sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_308])]) ).
fof(f2885,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(app(sK21(sK7,sK8),sK8))
| app(X6,sK7) = app(sK21(sK7,sK8),sK8)
| ~ segmentP(app(sK21(sK7,sK8),sK8),app(X6,sK7))
| ~ ssList(app(X6,sK7)) )
| ~ spl52_246 ),
inference(resolution,[],[f2517,f330]) ).
fof(f330,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| X0 = X1
| ~ segmentP(X1,X0)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ! [X1] :
( ~ segmentP(X0,X1)
| ~ segmentP(X1,X0)
| ~ ssList(X1)
| X0 = X1 )
| ~ ssList(X0) ),
inference(flattening,[],[f169]) ).
fof(f169,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(f2896,plain,
( ~ spl52_27
| spl52_307
| ~ spl52_11
| ~ spl52_246 ),
inference(avatar_split_clause,[],[f2892,f2516,f509,f2894,f637]) ).
fof(f2894,plain,
( spl52_307
<=> ! [X2,X0,X1] :
( ~ ssList(app(X0,sK7))
| ~ ssList(X0)
| segmentP(app(X1,app(X0,app(sK7,X2))),app(sK21(sK7,sK8),sK8))
| ~ ssList(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_307])]) ).
fof(f509,plain,
( spl52_11
<=> ssList(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_11])]) ).
fof(f2892,plain,
( ! [X2,X0,X1] :
( ~ ssList(app(X0,sK7))
| ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ ssList(X2)
| ~ ssList(X1)
| segmentP(app(X1,app(X0,app(sK7,X2))),app(sK21(sK7,sK8),sK8))
| ~ ssList(X0) )
| ~ spl52_11
| ~ spl52_246 ),
inference(forward_subsumption_demodulation,[],[f2882,f2104]) ).
fof(f2104,plain,
( ! [X26,X25] :
( ~ ssList(X25)
| ~ ssList(X26)
| app(X26,app(sK7,X25)) = app(app(X26,sK7),X25) )
| ~ spl52_11 ),
inference(resolution,[],[f340,f511]) ).
fof(f511,plain,
( ssList(sK7)
| ~ spl52_11 ),
inference(avatar_component_clause,[],[f509]) ).
fof(f340,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| app(app(X0,X1),X2) = app(X0,app(X1,X2)) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) ) ),
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(f2882,plain,
( ! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(app(sK21(sK7,sK8),sK8))
| segmentP(app(X1,app(app(X0,sK7),X2)),app(sK21(sK7,sK8),sK8))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X0,sK7)) )
| ~ spl52_246 ),
inference(resolution,[],[f2517,f524]) ).
fof(f524,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X2,app(X0,X3)),X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(backward_subsumption_demodulation,[],[f240,f340]) ).
fof(f240,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(X0)
| ~ segmentP(X0,X1) ),
inference(cnf_transformation,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ~ ssList(X2)
| ! [X3] :
( ~ ssList(X3)
| segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1) ) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f165]) ).
fof(f165,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(f2891,plain,
( ~ spl52_1
| spl52_306
| ~ spl52_44
| ~ spl52_246 ),
inference(avatar_split_clause,[],[f2886,f2516,f737,f2888,f459]) ).
fof(f459,plain,
( spl52_1
<=> ssList(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_1])]) ).
fof(f2888,plain,
( spl52_306
<=> segmentP(sK7,app(sK21(sK7,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_306])]) ).
fof(f737,plain,
( spl52_44
<=> app(nil,sK7) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_44])]) ).
fof(f2886,plain,
( segmentP(sK7,app(sK21(sK7,sK8),sK8))
| ~ ssList(nil)
| ~ spl52_44
| ~ spl52_246 ),
inference(superposition,[],[f2517,f739]) ).
fof(f739,plain,
( app(nil,sK7) = sK7
| ~ spl52_44 ),
inference(avatar_component_clause,[],[f737]) ).
fof(f2881,plain,
( ~ spl52_298
| ~ spl52_297
| spl52_305
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2835,f1469,f2879,f2845,f2849]) ).
fof(f2849,plain,
( spl52_298
<=> ssList(app(sK21(sK8,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_298])]) ).
fof(f2845,plain,
( spl52_297
<=> ssList(sK22(sK8,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_297])]) ).
fof(f2879,plain,
( spl52_305
<=> ! [X4] :
( ~ ssItem(X4)
| memberP(sK8,X4)
| ~ memberP(app(sK21(sK8,nil),nil),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_305])]) ).
fof(f1469,plain,
( spl52_121
<=> sK8 = app(app(sK21(sK8,nil),nil),sK22(sK8,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_121])]) ).
fof(f2835,plain,
( ! [X4] :
( ~ ssItem(X4)
| ~ ssList(sK22(sK8,nil))
| ~ memberP(app(sK21(sK8,nil),nil),X4)
| memberP(sK8,X4)
| ~ ssList(app(sK21(sK8,nil),nil)) )
| ~ spl52_121 ),
inference(superposition,[],[f239,f1471]) ).
fof(f1471,plain,
( sK8 = app(app(sK21(sK8,nil),nil),sK22(sK8,nil))
| ~ spl52_121 ),
inference(avatar_component_clause,[],[f1469]) ).
fof(f2877,plain,
( ~ spl52_298
| ~ spl52_297
| spl52_304
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2842,f1469,f2875,f2845,f2849]) ).
fof(f2875,plain,
( spl52_304
<=> ! [X8] :
( segmentP(app(X8,sK8),app(sK21(sK8,nil),nil))
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_304])]) ).
fof(f2842,plain,
( ! [X8] :
( segmentP(app(X8,sK8),app(sK21(sK8,nil),nil))
| ~ ssList(X8)
| ~ ssList(sK22(sK8,nil))
| ~ ssList(app(sK21(sK8,nil),nil)) )
| ~ spl52_121 ),
inference(superposition,[],[f656,f1471]) ).
fof(f656,plain,
! [X2,X3,X4] :
( segmentP(app(X3,app(X2,X4)),X2)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4) ),
inference(duplicate_literal_removal,[],[f653]) ).
fof(f653,plain,
! [X2,X3,X4] :
( ~ ssList(X4)
| segmentP(app(X3,app(X2,X4)),X2)
| ~ ssList(X2)
| ~ ssList(X2)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(resolution,[],[f524,f305]) ).
fof(f305,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f2873,plain,
( ~ spl52_297
| spl52_303
| ~ spl52_298
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2831,f1469,f2849,f2870,f2845]) ).
fof(f2870,plain,
( spl52_303
<=> ! [X1] :
( app(X1,sK22(sK8,nil)) != sK8
| app(sK21(sK8,nil),nil) = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_303])]) ).
fof(f2831,plain,
( ! [X0] :
( ~ ssList(app(sK21(sK8,nil),nil))
| app(sK21(sK8,nil),nil) = X0
| ~ ssList(X0)
| sK8 != app(X0,sK22(sK8,nil))
| ~ ssList(sK22(sK8,nil)) )
| ~ spl52_121 ),
inference(superposition,[],[f233,f1471]) ).
fof(f233,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| X0 = X2
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ! [X2] :
( ~ ssList(X2)
| X0 = X2
| app(X2,X1) != app(X0,X1) )
| ~ ssList(X1) ) ),
inference(flattening,[],[f149]) ).
fof(f149,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(f2872,plain,
( ~ spl52_298
| ~ spl52_297
| spl52_303
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2832,f1469,f2870,f2845,f2849]) ).
fof(f2832,plain,
( ! [X1] :
( app(X1,sK22(sK8,nil)) != sK8
| ~ ssList(X1)
| app(sK21(sK8,nil),nil) = X1
| ~ ssList(sK22(sK8,nil))
| ~ ssList(app(sK21(sK8,nil),nil)) )
| ~ spl52_121 ),
inference(superposition,[],[f233,f1471]) ).
fof(f2868,plain,
( ~ spl52_297
| ~ spl52_298
| spl52_301
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2837,f1469,f2861,f2849,f2845]) ).
fof(f2861,plain,
( spl52_301
<=> ! [X5] :
( sK22(sK8,nil) = X5
| app(app(sK21(sK8,nil),nil),X5) != sK8
| ~ ssList(X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_301])]) ).
fof(f2837,plain,
( ! [X6] :
( app(app(sK21(sK8,nil),nil),X6) != sK8
| ~ ssList(app(sK21(sK8,nil),nil))
| sK22(sK8,nil) = X6
| ~ ssList(sK22(sK8,nil))
| ~ ssList(X6) )
| ~ spl52_121 ),
inference(superposition,[],[f303,f1471]) ).
fof(f303,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| ~ ssList(X0)
| X0 = X2
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2) ) ) ),
inference(flattening,[],[f147]) ).
fof(f147,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(f2867,plain,
( ~ spl52_298
| ~ spl52_297
| spl52_302
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2834,f1469,f2865,f2845,f2849]) ).
fof(f2865,plain,
( spl52_302
<=> ! [X3] :
( memberP(sK8,X3)
| ~ memberP(sK22(sK8,nil),X3)
| ~ ssItem(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_302])]) ).
fof(f2834,plain,
( ! [X3] :
( memberP(sK8,X3)
| ~ ssItem(X3)
| ~ ssList(sK22(sK8,nil))
| ~ ssList(app(sK21(sK8,nil),nil))
| ~ memberP(sK22(sK8,nil),X3) )
| ~ spl52_121 ),
inference(superposition,[],[f238,f1471]) ).
fof(f2863,plain,
( ~ spl52_298
| ~ spl52_297
| spl52_301
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2836,f1469,f2861,f2845,f2849]) ).
fof(f2836,plain,
( ! [X5] :
( sK22(sK8,nil) = X5
| ~ ssList(X5)
| ~ ssList(sK22(sK8,nil))
| app(app(sK21(sK8,nil),nil),X5) != sK8
| ~ ssList(app(sK21(sK8,nil),nil)) )
| ~ spl52_121 ),
inference(superposition,[],[f303,f1471]) ).
fof(f2859,plain,
( ~ spl52_297
| ~ spl52_298
| spl52_300
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2833,f1469,f2857,f2849,f2845]) ).
fof(f2857,plain,
( spl52_300
<=> ! [X2] :
( memberP(sK22(sK8,nil),X2)
| memberP(app(sK21(sK8,nil),nil),X2)
| ~ ssItem(X2)
| ~ memberP(sK8,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_300])]) ).
fof(f2833,plain,
( ! [X2] :
( memberP(sK22(sK8,nil),X2)
| ~ memberP(sK8,X2)
| ~ ssList(app(sK21(sK8,nil),nil))
| ~ ssList(sK22(sK8,nil))
| ~ ssItem(X2)
| memberP(app(sK21(sK8,nil),nil),X2) )
| ~ spl52_121 ),
inference(superposition,[],[f237,f1471]) ).
fof(f237,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| ~ ssList(X1)
| ~ ssItem(X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2) ),
inference(cnf_transformation,[],[f213]) ).
fof(f2855,plain,
( ~ spl52_297
| ~ spl52_298
| spl52_299
| ~ spl52_121 ),
inference(avatar_split_clause,[],[f2841,f1469,f2853,f2849,f2845]) ).
fof(f2853,plain,
( spl52_299
<=> ! [X7] :
( ~ ssList(app(X7,sK8))
| ~ ssList(X7)
| segmentP(app(X7,sK8),app(sK21(sK8,nil),nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_299])]) ).
fof(f2841,plain,
( ! [X7] :
( ~ ssList(app(X7,sK8))
| ~ ssList(app(sK21(sK8,nil),nil))
| ~ ssList(sK22(sK8,nil))
| segmentP(app(X7,sK8),app(sK21(sK8,nil),nil))
| ~ ssList(X7) )
| ~ spl52_121 ),
inference(superposition,[],[f526,f1471]) ).
fof(f526,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,app(X1,X3)))
| segmentP(app(X2,app(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(forward_subsumption_demodulation,[],[f525,f340]) ).
fof(f525,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(app(X2,app(X1,X3)))
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(backward_subsumption_demodulation,[],[f433,f340]) ).
fof(f433,plain,
! [X2,X3,X1] :
( ~ ssList(app(app(X2,X1),X3))
| segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(equality_resolution,[],[f301]) ).
fof(f301,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| ~ ssList(X2)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f2830,plain,
( ~ spl52_290
| ~ spl52_288
| spl52_291
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2785,f1459,f2806,f2794,f2801]) ).
fof(f2801,plain,
( spl52_290
<=> ssList(sK22(sK7,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_290])]) ).
fof(f2794,plain,
( spl52_288
<=> ssList(app(sK21(sK7,nil),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_288])]) ).
fof(f2806,plain,
( spl52_291
<=> ! [X6] :
( sK22(sK7,nil) = X6
| app(app(sK21(sK7,nil),nil),X6) != sK7
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_291])]) ).
fof(f1459,plain,
( spl52_119
<=> sK7 = app(app(sK21(sK7,nil),nil),sK22(sK7,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_119])]) ).
fof(f2785,plain,
( ! [X5] :
( app(app(sK21(sK7,nil),nil),X5) != sK7
| ~ ssList(X5)
| ~ ssList(app(sK21(sK7,nil),nil))
| ~ ssList(sK22(sK7,nil))
| sK22(sK7,nil) = X5 )
| ~ spl52_119 ),
inference(superposition,[],[f303,f1461]) ).
fof(f1461,plain,
( sK7 = app(app(sK21(sK7,nil),nil),sK22(sK7,nil))
| ~ spl52_119 ),
inference(avatar_component_clause,[],[f1459]) ).
fof(f2829,plain,
( ~ spl52_290
| ~ spl52_288
| spl52_296
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2784,f1459,f2827,f2794,f2801]) ).
fof(f2827,plain,
( spl52_296
<=> ! [X4] :
( ~ ssItem(X4)
| memberP(sK7,X4)
| ~ memberP(app(sK21(sK7,nil),nil),X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_296])]) ).
fof(f2784,plain,
( ! [X4] :
( ~ ssItem(X4)
| ~ memberP(app(sK21(sK7,nil),nil),X4)
| memberP(sK7,X4)
| ~ ssList(app(sK21(sK7,nil),nil))
| ~ ssList(sK22(sK7,nil)) )
| ~ spl52_119 ),
inference(superposition,[],[f239,f1461]) ).
fof(f2825,plain,
( ~ spl52_290
| ~ spl52_288
| spl52_295
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2790,f1459,f2823,f2794,f2801]) ).
fof(f2823,plain,
( spl52_295
<=> ! [X7] :
( segmentP(app(X7,sK7),app(sK21(sK7,nil),nil))
| ~ ssList(X7)
| ~ ssList(app(X7,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_295])]) ).
fof(f2790,plain,
( ! [X7] :
( segmentP(app(X7,sK7),app(sK21(sK7,nil),nil))
| ~ ssList(app(sK21(sK7,nil),nil))
| ~ ssList(app(X7,sK7))
| ~ ssList(X7)
| ~ ssList(sK22(sK7,nil)) )
| ~ spl52_119 ),
inference(superposition,[],[f526,f1461]) ).
fof(f2821,plain,
( ~ spl52_288
| spl52_294
| ~ spl52_290
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2782,f1459,f2801,f2819,f2794]) ).
fof(f2819,plain,
( spl52_294
<=> ! [X2] :
( memberP(sK22(sK7,nil),X2)
| ~ ssItem(X2)
| memberP(app(sK21(sK7,nil),nil),X2)
| ~ memberP(sK7,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_294])]) ).
fof(f2782,plain,
( ! [X2] :
( ~ ssList(sK22(sK7,nil))
| memberP(sK22(sK7,nil),X2)
| ~ ssList(app(sK21(sK7,nil),nil))
| ~ memberP(sK7,X2)
| memberP(app(sK21(sK7,nil),nil),X2)
| ~ ssItem(X2) )
| ~ spl52_119 ),
inference(superposition,[],[f237,f1461]) ).
fof(f2817,plain,
( ~ spl52_290
| ~ spl52_288
| spl52_289
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2781,f1459,f2798,f2794,f2801]) ).
fof(f2798,plain,
( spl52_289
<=> ! [X0] :
( ~ ssList(X0)
| app(sK21(sK7,nil),nil) = X0
| app(X0,sK22(sK7,nil)) != sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_289])]) ).
fof(f2781,plain,
( ! [X1] :
( app(X1,sK22(sK7,nil)) != sK7
| ~ ssList(app(sK21(sK7,nil),nil))
| ~ ssList(sK22(sK7,nil))
| ~ ssList(X1)
| app(sK21(sK7,nil),nil) = X1 )
| ~ spl52_119 ),
inference(superposition,[],[f233,f1461]) ).
fof(f2816,plain,
( ~ spl52_288
| ~ spl52_290
| spl52_293
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2791,f1459,f2814,f2801,f2794]) ).
fof(f2814,plain,
( spl52_293
<=> ! [X8] :
( segmentP(app(X8,sK7),app(sK21(sK7,nil),nil))
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_293])]) ).
fof(f2791,plain,
( ! [X8] :
( segmentP(app(X8,sK7),app(sK21(sK7,nil),nil))
| ~ ssList(sK22(sK7,nil))
| ~ ssList(X8)
| ~ ssList(app(sK21(sK7,nil),nil)) )
| ~ spl52_119 ),
inference(superposition,[],[f656,f1461]) ).
fof(f2812,plain,
( ~ spl52_290
| spl52_292
| ~ spl52_288
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2783,f1459,f2794,f2810,f2801]) ).
fof(f2810,plain,
( spl52_292
<=> ! [X3] :
( ~ ssItem(X3)
| memberP(sK7,X3)
| ~ memberP(sK22(sK7,nil),X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_292])]) ).
fof(f2783,plain,
( ! [X3] :
( ~ ssList(app(sK21(sK7,nil),nil))
| ~ ssItem(X3)
| ~ memberP(sK22(sK7,nil),X3)
| memberP(sK7,X3)
| ~ ssList(sK22(sK7,nil)) )
| ~ spl52_119 ),
inference(superposition,[],[f238,f1461]) ).
fof(f2808,plain,
( ~ spl52_288
| ~ spl52_290
| spl52_291
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2786,f1459,f2806,f2801,f2794]) ).
fof(f2786,plain,
( ! [X6] :
( sK22(sK7,nil) = X6
| ~ ssList(X6)
| ~ ssList(sK22(sK7,nil))
| app(app(sK21(sK7,nil),nil),X6) != sK7
| ~ ssList(app(sK21(sK7,nil),nil)) )
| ~ spl52_119 ),
inference(superposition,[],[f303,f1461]) ).
fof(f2804,plain,
( ~ spl52_288
| spl52_289
| ~ spl52_290
| ~ spl52_119 ),
inference(avatar_split_clause,[],[f2780,f1459,f2801,f2798,f2794]) ).
fof(f2780,plain,
( ! [X0] :
( ~ ssList(sK22(sK7,nil))
| ~ ssList(X0)
| app(X0,sK22(sK7,nil)) != sK7
| ~ ssList(app(sK21(sK7,nil),nil))
| app(sK21(sK7,nil),nil) = X0 )
| ~ spl52_119 ),
inference(superposition,[],[f233,f1461]) ).
fof(f2779,plain,
( ~ spl52_279
| ~ spl52_280
| spl52_287
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2740,f1416,f2777,f2747,f2743]) ).
fof(f2743,plain,
( spl52_279
<=> ssList(sK22(sK7,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_279])]) ).
fof(f2747,plain,
( spl52_280
<=> ssList(app(sK21(sK7,sK7),sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_280])]) ).
fof(f2777,plain,
( spl52_287
<=> ! [X8] :
( ~ ssList(X8)
| segmentP(app(X8,sK7),app(sK21(sK7,sK7),sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_287])]) ).
fof(f1416,plain,
( spl52_113
<=> sK7 = app(app(sK21(sK7,sK7),sK7),sK22(sK7,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_113])]) ).
fof(f2740,plain,
( ! [X8] :
( ~ ssList(X8)
| segmentP(app(X8,sK7),app(sK21(sK7,sK7),sK7))
| ~ ssList(app(sK21(sK7,sK7),sK7))
| ~ ssList(sK22(sK7,sK7)) )
| ~ spl52_113 ),
inference(superposition,[],[f656,f1418]) ).
fof(f1418,plain,
( sK7 = app(app(sK21(sK7,sK7),sK7),sK22(sK7,sK7))
| ~ spl52_113 ),
inference(avatar_component_clause,[],[f1416]) ).
fof(f2775,plain,
( ~ spl52_279
| spl52_286
| ~ spl52_280
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2732,f1416,f2747,f2773,f2743]) ).
fof(f2773,plain,
( spl52_286
<=> ! [X3] :
( ~ ssItem(X3)
| ~ memberP(sK22(sK7,sK7),X3)
| memberP(sK7,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_286])]) ).
fof(f2732,plain,
( ! [X3] :
( ~ ssList(app(sK21(sK7,sK7),sK7))
| ~ ssItem(X3)
| memberP(sK7,X3)
| ~ ssList(sK22(sK7,sK7))
| ~ memberP(sK22(sK7,sK7),X3) )
| ~ spl52_113 ),
inference(superposition,[],[f238,f1418]) ).
fof(f2771,plain,
( ~ spl52_280
| ~ spl52_279
| spl52_282
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2729,f1416,f2755,f2743,f2747]) ).
fof(f2755,plain,
( spl52_282
<=> ! [X1] :
( app(sK21(sK7,sK7),sK7) = X1
| app(X1,sK22(sK7,sK7)) != sK7
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_282])]) ).
fof(f2729,plain,
( ! [X0] :
( app(sK21(sK7,sK7),sK7) = X0
| app(X0,sK22(sK7,sK7)) != sK7
| ~ ssList(sK22(sK7,sK7))
| ~ ssList(X0)
| ~ ssList(app(sK21(sK7,sK7),sK7)) )
| ~ spl52_113 ),
inference(superposition,[],[f233,f1418]) ).
fof(f2770,plain,
( ~ spl52_280
| ~ spl52_279
| spl52_281
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2735,f1416,f2751,f2743,f2747]) ).
fof(f2751,plain,
( spl52_281
<=> ! [X5] :
( app(app(sK21(sK7,sK7),sK7),X5) != sK7
| ~ ssList(X5)
| sK22(sK7,sK7) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_281])]) ).
fof(f2735,plain,
( ! [X6] :
( ~ ssList(X6)
| sK22(sK7,sK7) = X6
| ~ ssList(sK22(sK7,sK7))
| app(app(sK21(sK7,sK7),sK7),X6) != sK7
| ~ ssList(app(sK21(sK7,sK7),sK7)) )
| ~ spl52_113 ),
inference(superposition,[],[f303,f1418]) ).
fof(f2769,plain,
( ~ spl52_279
| spl52_285
| ~ spl52_280
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2731,f1416,f2747,f2767,f2743]) ).
fof(f2767,plain,
( spl52_285
<=> ! [X2] :
( ~ ssItem(X2)
| ~ memberP(sK7,X2)
| memberP(app(sK21(sK7,sK7),sK7),X2)
| memberP(sK22(sK7,sK7),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_285])]) ).
fof(f2731,plain,
( ! [X2] :
( ~ ssList(app(sK21(sK7,sK7),sK7))
| ~ ssItem(X2)
| ~ ssList(sK22(sK7,sK7))
| memberP(sK22(sK7,sK7),X2)
| memberP(app(sK21(sK7,sK7),sK7),X2)
| ~ memberP(sK7,X2) )
| ~ spl52_113 ),
inference(superposition,[],[f237,f1418]) ).
fof(f2765,plain,
( ~ spl52_279
| ~ spl52_280
| spl52_284
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2733,f1416,f2763,f2747,f2743]) ).
fof(f2763,plain,
( spl52_284
<=> ! [X4] :
( ~ memberP(app(sK21(sK7,sK7),sK7),X4)
| ~ ssItem(X4)
| memberP(sK7,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_284])]) ).
fof(f2733,plain,
( ! [X4] :
( ~ memberP(app(sK21(sK7,sK7),sK7),X4)
| ~ ssList(app(sK21(sK7,sK7),sK7))
| memberP(sK7,X4)
| ~ ssList(sK22(sK7,sK7))
| ~ ssItem(X4) )
| ~ spl52_113 ),
inference(superposition,[],[f239,f1418]) ).
fof(f2761,plain,
( ~ spl52_279
| ~ spl52_280
| spl52_283
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2739,f1416,f2759,f2747,f2743]) ).
fof(f2759,plain,
( spl52_283
<=> ! [X7] :
( segmentP(app(X7,sK7),app(sK21(sK7,sK7),sK7))
| ~ ssList(X7)
| ~ ssList(app(X7,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_283])]) ).
fof(f2739,plain,
( ! [X7] :
( segmentP(app(X7,sK7),app(sK21(sK7,sK7),sK7))
| ~ ssList(app(X7,sK7))
| ~ ssList(app(sK21(sK7,sK7),sK7))
| ~ ssList(sK22(sK7,sK7))
| ~ ssList(X7) )
| ~ spl52_113 ),
inference(superposition,[],[f526,f1418]) ).
fof(f2757,plain,
( ~ spl52_280
| ~ spl52_279
| spl52_282
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2730,f1416,f2755,f2743,f2747]) ).
fof(f2730,plain,
( ! [X1] :
( app(sK21(sK7,sK7),sK7) = X1
| ~ ssList(X1)
| ~ ssList(sK22(sK7,sK7))
| ~ ssList(app(sK21(sK7,sK7),sK7))
| app(X1,sK22(sK7,sK7)) != sK7 )
| ~ spl52_113 ),
inference(superposition,[],[f233,f1418]) ).
fof(f2753,plain,
( ~ spl52_279
| ~ spl52_280
| spl52_281
| ~ spl52_113 ),
inference(avatar_split_clause,[],[f2734,f1416,f2751,f2747,f2743]) ).
fof(f2734,plain,
( ! [X5] :
( app(app(sK21(sK7,sK7),sK7),X5) != sK7
| ~ ssList(app(sK21(sK7,sK7),sK7))
| sK22(sK7,sK7) = X5
| ~ ssList(X5)
| ~ ssList(sK22(sK7,sK7)) )
| ~ spl52_113 ),
inference(superposition,[],[f303,f1418]) ).
fof(f2728,plain,
( ~ spl52_271
| spl52_272
| ~ spl52_270
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2678,f1401,f2692,f2700,f2696]) ).
fof(f2696,plain,
( spl52_271
<=> ssList(sK22(sK8,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_271])]) ).
fof(f2700,plain,
( spl52_272
<=> ! [X1] :
( ~ ssList(X1)
| app(X1,sK22(sK8,sK8)) != sK8
| app(sK21(sK8,sK8),sK8) = X1 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_272])]) ).
fof(f2692,plain,
( spl52_270
<=> ssList(app(sK21(sK8,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_270])]) ).
fof(f1401,plain,
( spl52_110
<=> app(app(sK21(sK8,sK8),sK8),sK22(sK8,sK8)) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_110])]) ).
fof(f2678,plain,
( ! [X0] :
( ~ ssList(app(sK21(sK8,sK8),sK8))
| ~ ssList(X0)
| ~ ssList(sK22(sK8,sK8))
| app(sK21(sK8,sK8),sK8) = X0
| app(X0,sK22(sK8,sK8)) != sK8 )
| ~ spl52_110 ),
inference(superposition,[],[f233,f1403]) ).
fof(f1403,plain,
( app(app(sK21(sK8,sK8),sK8),sK22(sK8,sK8)) = sK8
| ~ spl52_110 ),
inference(avatar_component_clause,[],[f1401]) ).
fof(f2727,plain,
( ~ spl52_270
| ~ spl52_271
| spl52_278
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2689,f1401,f2725,f2696,f2692]) ).
fof(f2725,plain,
( spl52_278
<=> ! [X8] :
( ~ ssList(X8)
| segmentP(app(X8,sK8),app(sK21(sK8,sK8),sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_278])]) ).
fof(f2689,plain,
( ! [X8] :
( ~ ssList(X8)
| segmentP(app(X8,sK8),app(sK21(sK8,sK8),sK8))
| ~ ssList(sK22(sK8,sK8))
| ~ ssList(app(sK21(sK8,sK8),sK8)) )
| ~ spl52_110 ),
inference(superposition,[],[f656,f1403]) ).
fof(f2723,plain,
( ~ spl52_270
| ~ spl52_271
| spl52_277
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2688,f1401,f2721,f2696,f2692]) ).
fof(f2721,plain,
( spl52_277
<=> ! [X7] :
( segmentP(app(X7,sK8),app(sK21(sK8,sK8),sK8))
| ~ ssList(app(X7,sK8))
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_277])]) ).
fof(f2688,plain,
( ! [X7] :
( segmentP(app(X7,sK8),app(sK21(sK8,sK8),sK8))
| ~ ssList(X7)
| ~ ssList(app(X7,sK8))
| ~ ssList(sK22(sK8,sK8))
| ~ ssList(app(sK21(sK8,sK8),sK8)) )
| ~ spl52_110 ),
inference(superposition,[],[f526,f1403]) ).
fof(f2719,plain,
( ~ spl52_271
| ~ spl52_270
| spl52_276
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2680,f1401,f2717,f2692,f2696]) ).
fof(f2717,plain,
( spl52_276
<=> ! [X2] :
( ~ memberP(sK8,X2)
| ~ ssItem(X2)
| memberP(app(sK21(sK8,sK8),sK8),X2)
| memberP(sK22(sK8,sK8),X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_276])]) ).
fof(f2680,plain,
( ! [X2] :
( ~ memberP(sK8,X2)
| ~ ssList(app(sK21(sK8,sK8),sK8))
| ~ ssList(sK22(sK8,sK8))
| memberP(sK22(sK8,sK8),X2)
| memberP(app(sK21(sK8,sK8),sK8),X2)
| ~ ssItem(X2) )
| ~ spl52_110 ),
inference(superposition,[],[f237,f1403]) ).
fof(f2715,plain,
( ~ spl52_271
| ~ spl52_270
| spl52_274
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2684,f1401,f2708,f2692,f2696]) ).
fof(f2708,plain,
( spl52_274
<=> ! [X5] :
( sK22(sK8,sK8) = X5
| ~ ssList(X5)
| app(app(sK21(sK8,sK8),sK8),X5) != sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_274])]) ).
fof(f2684,plain,
( ! [X6] :
( ~ ssList(X6)
| app(app(sK21(sK8,sK8),sK8),X6) != sK8
| sK22(sK8,sK8) = X6
| ~ ssList(app(sK21(sK8,sK8),sK8))
| ~ ssList(sK22(sK8,sK8)) )
| ~ spl52_110 ),
inference(superposition,[],[f303,f1403]) ).
fof(f2714,plain,
( ~ spl52_271
| ~ spl52_270
| spl52_275
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2682,f1401,f2712,f2692,f2696]) ).
fof(f2712,plain,
( spl52_275
<=> ! [X4] :
( ~ memberP(app(sK21(sK8,sK8),sK8),X4)
| ~ ssItem(X4)
| memberP(sK8,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_275])]) ).
fof(f2682,plain,
( ! [X4] :
( ~ memberP(app(sK21(sK8,sK8),sK8),X4)
| ~ ssList(app(sK21(sK8,sK8),sK8))
| memberP(sK8,X4)
| ~ ssItem(X4)
| ~ ssList(sK22(sK8,sK8)) )
| ~ spl52_110 ),
inference(superposition,[],[f239,f1403]) ).
fof(f2710,plain,
( ~ spl52_270
| spl52_274
| ~ spl52_271
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2683,f1401,f2696,f2708,f2692]) ).
fof(f2683,plain,
( ! [X5] :
( ~ ssList(sK22(sK8,sK8))
| sK22(sK8,sK8) = X5
| app(app(sK21(sK8,sK8),sK8),X5) != sK8
| ~ ssList(X5)
| ~ ssList(app(sK21(sK8,sK8),sK8)) )
| ~ spl52_110 ),
inference(superposition,[],[f303,f1403]) ).
fof(f2706,plain,
( ~ spl52_271
| ~ spl52_270
| spl52_273
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2681,f1401,f2704,f2692,f2696]) ).
fof(f2704,plain,
( spl52_273
<=> ! [X3] :
( ~ ssItem(X3)
| ~ memberP(sK22(sK8,sK8),X3)
| memberP(sK8,X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_273])]) ).
fof(f2681,plain,
( ! [X3] :
( ~ ssItem(X3)
| ~ ssList(app(sK21(sK8,sK8),sK8))
| memberP(sK8,X3)
| ~ ssList(sK22(sK8,sK8))
| ~ memberP(sK22(sK8,sK8),X3) )
| ~ spl52_110 ),
inference(superposition,[],[f238,f1403]) ).
fof(f2702,plain,
( ~ spl52_270
| ~ spl52_271
| spl52_272
| ~ spl52_110 ),
inference(avatar_split_clause,[],[f2679,f1401,f2700,f2696,f2692]) ).
fof(f2679,plain,
( ! [X1] :
( ~ ssList(X1)
| app(sK21(sK8,sK8),sK8) = X1
| ~ ssList(sK22(sK8,sK8))
| app(X1,sK22(sK8,sK8)) != sK8
| ~ ssList(app(sK21(sK8,sK8),sK8)) )
| ~ spl52_110 ),
inference(superposition,[],[f233,f1403]) ).
fof(f2677,plain,
( spl52_269
| ~ spl52_11
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f2635,f553,f509,f2674]) ).
fof(f2674,plain,
( spl52_269
<=> app(cons(sK10,nil),sK7) = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_269])]) ).
fof(f553,plain,
( spl52_18
<=> ssItem(sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_18])]) ).
fof(f2635,plain,
( app(cons(sK10,nil),sK7) = cons(sK10,sK7)
| ~ spl52_11
| ~ spl52_18 ),
inference(resolution,[],[f1376,f511]) ).
fof(f1376,plain,
( ! [X6] :
( ~ ssList(X6)
| cons(sK10,X6) = app(cons(sK10,nil),X6) )
| ~ spl52_18 ),
inference(resolution,[],[f335,f555]) ).
fof(f555,plain,
( ssItem(sK10)
| ~ spl52_18 ),
inference(avatar_component_clause,[],[f553]) ).
fof(f335,plain,
! [X0,X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) )
| ~ 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(f2672,plain,
( spl52_268
| ~ spl52_18
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f2626,f1425,f553,f2669]) ).
fof(f2669,plain,
( spl52_268
<=> app(cons(sK10,nil),cons(sK10,sK7)) = cons(sK10,cons(sK10,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_268])]) ).
fof(f1425,plain,
( spl52_114
<=> ssList(cons(sK10,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_114])]) ).
fof(f2626,plain,
( app(cons(sK10,nil),cons(sK10,sK7)) = cons(sK10,cons(sK10,sK7))
| ~ spl52_18
| ~ spl52_114 ),
inference(resolution,[],[f1376,f1426]) ).
fof(f1426,plain,
( ssList(cons(sK10,sK7))
| ~ spl52_114 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f2667,plain,
( spl52_267
| ~ spl52_18
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f2639,f633,f553,f2664]) ).
fof(f2664,plain,
( spl52_267
<=> cons(sK10,sK22(sK7,sK8)) = app(cons(sK10,nil),sK22(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_267])]) ).
fof(f633,plain,
( spl52_26
<=> ssList(sK22(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_26])]) ).
fof(f2639,plain,
( cons(sK10,sK22(sK7,sK8)) = app(cons(sK10,nil),sK22(sK7,sK8))
| ~ spl52_18
| ~ spl52_26 ),
inference(resolution,[],[f1376,f634]) ).
fof(f634,plain,
( ssList(sK22(sK7,sK8))
| ~ spl52_26 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f2662,plain,
( spl52_266
| ~ spl52_18
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f2628,f1962,f553,f2659]) ).
fof(f2659,plain,
( spl52_266
<=> app(cons(sK10,nil),cons(sK10,sK8)) = cons(sK10,cons(sK10,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_266])]) ).
fof(f1962,plain,
( spl52_171
<=> ssList(cons(sK10,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_171])]) ).
fof(f2628,plain,
( app(cons(sK10,nil),cons(sK10,sK8)) = cons(sK10,cons(sK10,sK8))
| ~ spl52_18
| ~ spl52_171 ),
inference(resolution,[],[f1376,f1963]) ).
fof(f1963,plain,
( ssList(cons(sK10,sK8))
| ~ spl52_171 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f2657,plain,
( spl52_265
| ~ spl52_18
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f2627,f1751,f553,f2654]) ).
fof(f2654,plain,
( spl52_265
<=> cons(sK10,cons(sK10,nil)) = app(cons(sK10,nil),cons(sK10,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_265])]) ).
fof(f1751,plain,
( spl52_154
<=> ssList(cons(sK10,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_154])]) ).
fof(f2627,plain,
( cons(sK10,cons(sK10,nil)) = app(cons(sK10,nil),cons(sK10,nil))
| ~ spl52_18
| ~ spl52_154 ),
inference(resolution,[],[f1376,f1752]) ).
fof(f1752,plain,
( ssList(cons(sK10,nil))
| ~ spl52_154 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f2652,plain,
( spl52_264
| ~ spl52_18
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f2630,f637,f553,f2649]) ).
fof(f2649,plain,
( spl52_264
<=> app(cons(sK10,nil),app(sK21(sK7,sK8),sK8)) = cons(sK10,app(sK21(sK7,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_264])]) ).
fof(f2630,plain,
( app(cons(sK10,nil),app(sK21(sK7,sK8),sK8)) = cons(sK10,app(sK21(sK7,sK8),sK8))
| ~ spl52_18
| ~ spl52_27 ),
inference(resolution,[],[f1376,f638]) ).
fof(f638,plain,
( ssList(app(sK21(sK7,sK8),sK8))
| ~ spl52_27 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f2647,plain,
( spl52_263
| ~ spl52_8
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f2636,f553,f494,f2644]) ).
fof(f2644,plain,
( spl52_263
<=> cons(sK10,sK8) = app(cons(sK10,nil),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_263])]) ).
fof(f2636,plain,
( cons(sK10,sK8) = app(cons(sK10,nil),sK8)
| ~ spl52_8
| ~ spl52_18 ),
inference(resolution,[],[f1376,f496]) ).
fof(f496,plain,
( ssList(sK8)
| ~ spl52_8 ),
inference(avatar_component_clause,[],[f494]) ).
fof(f2620,plain,
( ~ spl52_252
| ~ spl52_253
| spl52_261
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2563,f703,f2612,f2580,f2576]) ).
fof(f2576,plain,
( spl52_252
<=> ssList(sK34(sK8,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_252])]) ).
fof(f2580,plain,
( spl52_253
<=> ssList(cons(sK10,sK35(sK8,sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_253])]) ).
fof(f2612,plain,
( spl52_261
<=> ! [X2] :
( app(X2,cons(sK10,sK35(sK8,sK10))) != sK8
| ~ ssList(X2)
| sK34(sK8,sK10) = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_261])]) ).
fof(f703,plain,
( spl52_39
<=> app(sK34(sK8,sK10),cons(sK10,sK35(sK8,sK10))) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_39])]) ).
fof(f2563,plain,
( ! [X3] :
( sK8 != app(X3,cons(sK10,sK35(sK8,sK10)))
| ~ ssList(cons(sK10,sK35(sK8,sK10)))
| sK34(sK8,sK10) = X3
| ~ ssList(X3)
| ~ ssList(sK34(sK8,sK10)) )
| ~ spl52_39 ),
inference(superposition,[],[f233,f705]) ).
fof(f705,plain,
( app(sK34(sK8,sK10),cons(sK10,sK35(sK8,sK10))) = sK8
| ~ spl52_39 ),
inference(avatar_component_clause,[],[f703]) ).
fof(f2619,plain,
( ~ spl52_253
| ~ spl52_252
| spl52_255
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2568,f703,f2588,f2576,f2580]) ).
fof(f2588,plain,
( spl52_255
<=> ! [X7] :
( cons(sK10,sK35(sK8,sK10)) = X7
| ~ ssList(X7)
| app(sK34(sK8,sK10),X7) != sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_255])]) ).
fof(f2568,plain,
( ! [X8] :
( ~ ssList(X8)
| ~ ssList(sK34(sK8,sK10))
| ~ ssList(cons(sK10,sK35(sK8,sK10)))
| cons(sK10,sK35(sK8,sK10)) = X8
| app(sK34(sK8,sK10),X8) != sK8 )
| ~ spl52_39 ),
inference(superposition,[],[f303,f705]) ).
fof(f2618,plain,
( ~ spl52_253
| ~ spl52_252
| spl52_262
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2564,f703,f2616,f2576,f2580]) ).
fof(f2616,plain,
( spl52_262
<=> ! [X4] :
( memberP(sK34(sK8,sK10),X4)
| ~ ssItem(X4)
| memberP(cons(sK10,sK35(sK8,sK10)),X4)
| ~ memberP(sK8,X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_262])]) ).
fof(f2564,plain,
( ! [X4] :
( memberP(sK34(sK8,sK10),X4)
| ~ memberP(sK8,X4)
| memberP(cons(sK10,sK35(sK8,sK10)),X4)
| ~ ssList(sK34(sK8,sK10))
| ~ ssItem(X4)
| ~ ssList(cons(sK10,sK35(sK8,sK10))) )
| ~ spl52_39 ),
inference(superposition,[],[f237,f705]) ).
fof(f2614,plain,
( ~ spl52_253
| spl52_261
| ~ spl52_252
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2562,f703,f2576,f2612,f2580]) ).
fof(f2562,plain,
( ! [X2] :
( ~ ssList(sK34(sK8,sK10))
| app(X2,cons(sK10,sK35(sK8,sK10))) != sK8
| sK34(sK8,sK10) = X2
| ~ ssList(cons(sK10,sK35(sK8,sK10)))
| ~ ssList(X2) )
| ~ spl52_39 ),
inference(superposition,[],[f233,f705]) ).
fof(f2610,plain,
( ~ spl52_252
| ~ spl52_253
| spl52_260
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2573,f703,f2608,f2580,f2576]) ).
fof(f2608,plain,
( spl52_260
<=> ! [X10] :
( segmentP(app(X10,sK8),sK34(sK8,sK10))
| ~ ssList(X10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_260])]) ).
fof(f2573,plain,
( ! [X10] :
( segmentP(app(X10,sK8),sK34(sK8,sK10))
| ~ ssList(cons(sK10,sK35(sK8,sK10)))
| ~ ssList(X10)
| ~ ssList(sK34(sK8,sK10)) )
| ~ spl52_39 ),
inference(superposition,[],[f656,f705]) ).
fof(f2606,plain,
( ~ spl52_253
| spl52_259
| ~ spl52_252
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2566,f703,f2576,f2604,f2580]) ).
fof(f2604,plain,
( spl52_259
<=> ! [X6] :
( ~ memberP(sK34(sK8,sK10),X6)
| memberP(sK8,X6)
| ~ ssItem(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_259])]) ).
fof(f2566,plain,
( ! [X6] :
( ~ ssList(sK34(sK8,sK10))
| ~ memberP(sK34(sK8,sK10),X6)
| ~ ssItem(X6)
| ~ ssList(cons(sK10,sK35(sK8,sK10)))
| memberP(sK8,X6) )
| ~ spl52_39 ),
inference(superposition,[],[f239,f705]) ).
fof(f2602,plain,
( spl52_258
| ~ spl52_252
| ~ spl52_253
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2565,f703,f2580,f2576,f2600]) ).
fof(f2600,plain,
( spl52_258
<=> ! [X5] :
( ~ ssItem(X5)
| ~ memberP(cons(sK10,sK35(sK8,sK10)),X5)
| memberP(sK8,X5) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_258])]) ).
fof(f2565,plain,
( ! [X5] :
( ~ ssList(cons(sK10,sK35(sK8,sK10)))
| ~ ssList(sK34(sK8,sK10))
| ~ ssItem(X5)
| memberP(sK8,X5)
| ~ memberP(cons(sK10,sK35(sK8,sK10)),X5) )
| ~ spl52_39 ),
inference(superposition,[],[f238,f705]) ).
fof(f2598,plain,
( ~ spl52_256
| spl52_257
| ~ spl52_252
| ~ spl52_18
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2560,f703,f553,f2576,f2596,f2592]) ).
fof(f2592,plain,
( spl52_256
<=> ssList(sK35(sK8,sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_256])]) ).
fof(f2596,plain,
( spl52_257
<=> ! [X0,X1] :
( ~ ssList(app(sK8,cons(X0,X1)))
| leq(sK10,X0)
| ~ ssItem(X0)
| ~ ssList(X1)
| ~ totalorderedP(app(sK8,cons(X0,X1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_257])]) ).
fof(f2560,plain,
( ! [X0,X1] :
( ~ ssItem(sK10)
| ~ ssList(sK34(sK8,sK10))
| ~ ssList(app(sK8,cons(X0,X1)))
| ~ totalorderedP(app(sK8,cons(X0,X1)))
| ~ ssList(sK35(sK8,sK10))
| ~ ssList(X1)
| ~ ssItem(X0)
| leq(sK10,X0) )
| ~ spl52_39 ),
inference(superposition,[],[f426,f705]) ).
fof(f426,plain,
! [X2,X3,X1,X4,X5] :
( ~ ssList(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ totalorderedP(app(app(X3,cons(X1,X4)),cons(X2,X5)))
| ~ ssItem(X1)
| ~ ssItem(X2)
| leq(X1,X2)
| ~ ssList(X4)
| ~ ssList(X3)
| ~ ssList(X5) ),
inference(equality_resolution,[],[f226]) ).
fof(f226,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ ssList(X0)
| ~ totalorderedP(X0)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssList(X4)
| ~ ssList(X5)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X3) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ~ ssList(X3)
| ! [X4] :
( ! [X5] :
( app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| leq(X1,X2)
| ~ ssList(X5) )
| ~ ssList(X4) ) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
<=> totalorderedP(X0) )
| ~ ssList(X0) ),
inference(flattening,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
<=> totalorderedP(X0) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) )
<=> totalorderedP(X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f2590,plain,
( ~ spl52_253
| spl52_255
| ~ spl52_252
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2567,f703,f2576,f2588,f2580]) ).
fof(f2567,plain,
( ! [X7] :
( ~ ssList(sK34(sK8,sK10))
| cons(sK10,sK35(sK8,sK10)) = X7
| app(sK34(sK8,sK10),X7) != sK8
| ~ ssList(X7)
| ~ ssList(cons(sK10,sK35(sK8,sK10))) )
| ~ spl52_39 ),
inference(superposition,[],[f303,f705]) ).
fof(f2586,plain,
( ~ spl52_252
| ~ spl52_253
| spl52_254
| ~ spl52_39 ),
inference(avatar_split_clause,[],[f2572,f703,f2584,f2580,f2576]) ).
fof(f2584,plain,
( spl52_254
<=> ! [X9] :
( ~ ssList(app(X9,sK8))
| segmentP(app(X9,sK8),sK34(sK8,sK10))
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_254])]) ).
fof(f2572,plain,
( ! [X9] :
( ~ ssList(app(X9,sK8))
| ~ ssList(cons(sK10,sK35(sK8,sK10)))
| ~ ssList(X9)
| segmentP(app(X9,sK8),sK34(sK8,sK10))
| ~ ssList(sK34(sK8,sK10)) )
| ~ spl52_39 ),
inference(superposition,[],[f526,f705]) ).
fof(f2559,plain,
( ~ spl52_8
| spl52_70
| spl52_200 ),
inference(avatar_split_clause,[],[f2558,f2243,f955,f494]) ).
fof(f955,plain,
( spl52_70
<=> nil = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_70])]) ).
fof(f2243,plain,
( spl52_200
<=> ssItem(hd(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_200])]) ).
fof(f2558,plain,
( nil = sK8
| ~ ssList(sK8)
| spl52_200 ),
inference(resolution,[],[f2245,f248]) ).
fof(f248,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( nil = X0
| ssItem(hd(X0))
| ~ ssList(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f2245,plain,
( ~ ssItem(hd(sK8))
| spl52_200 ),
inference(avatar_component_clause,[],[f2243]) ).
fof(f2556,plain,
( spl52_14
| ~ spl52_18
| ~ spl52_9
| ~ spl52_244 ),
inference(avatar_split_clause,[],[f2555,f2489,f499,f553,f531]) ).
fof(f531,plain,
( spl52_14
<=> memberP(sK7,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_14])]) ).
fof(f499,plain,
( spl52_9
<=> memberP(sK8,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_9])]) ).
fof(f2555,plain,
( ~ ssItem(sK10)
| memberP(sK7,sK10)
| ~ spl52_9
| ~ spl52_244 ),
inference(resolution,[],[f2490,f501]) ).
fof(f501,plain,
( memberP(sK8,sK10)
| ~ spl52_9 ),
inference(avatar_component_clause,[],[f499]) ).
fof(f2490,plain,
( ! [X2] :
( ~ memberP(sK8,X2)
| memberP(sK7,X2)
| ~ ssItem(X2) )
| ~ spl52_244 ),
inference(avatar_component_clause,[],[f2489]) ).
fof(f2554,plain,
( spl52_251
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f2532,f637,f2551]) ).
fof(f2551,plain,
( spl52_251
<=> app(sK21(sK7,sK8),sK8) = app(app(sK21(app(sK21(sK7,sK8),sK8),app(sK21(sK7,sK8),sK8)),app(sK21(sK7,sK8),sK8)),sK22(app(sK21(sK7,sK8),sK8),app(sK21(sK7,sK8),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_251])]) ).
fof(f2532,plain,
( app(sK21(sK7,sK8),sK8) = app(app(sK21(app(sK21(sK7,sK8),sK8),app(sK21(sK7,sK8),sK8)),app(sK21(sK7,sK8),sK8)),sK22(app(sK21(sK7,sK8),sK8),app(sK21(sK7,sK8),sK8)))
| ~ spl52_27 ),
inference(resolution,[],[f638,f613]) ).
fof(f613,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK21(X0,X0),X0),sK22(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f611,plain,
! [X0] :
( ~ ssList(X0)
| app(app(sK21(X0,X0),X0),sK22(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f299,f305]) ).
fof(f2549,plain,
( spl52_250
| ~ spl52_25
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f2533,f637,f621,f2546]) ).
fof(f2546,plain,
( spl52_250
<=> app(app(sK21(app(sK21(sK7,sK8),sK8),nil),nil),sK22(app(sK21(sK7,sK8),sK8),nil)) = app(sK21(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_250])]) ).
fof(f621,plain,
( spl52_25
<=> ! [X1] :
( app(app(sK21(X1,nil),nil),sK22(X1,nil)) = X1
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_25])]) ).
fof(f2533,plain,
( app(app(sK21(app(sK21(sK7,sK8),sK8),nil),nil),sK22(app(sK21(sK7,sK8),sK8),nil)) = app(sK21(sK7,sK8),sK8)
| ~ spl52_25
| ~ spl52_27 ),
inference(resolution,[],[f638,f622]) ).
fof(f622,plain,
( ! [X1] :
( ~ ssList(X1)
| app(app(sK21(X1,nil),nil),sK22(X1,nil)) = X1 )
| ~ spl52_25 ),
inference(avatar_component_clause,[],[f621]) ).
fof(f2544,plain,
( spl52_72
| spl52_249
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f2531,f637,f2541,f964]) ).
fof(f964,plain,
( spl52_72
<=> nil = app(sK21(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_72])]) ).
fof(f2541,plain,
( spl52_249
<=> cons(sK51(app(sK21(sK7,sK8),sK8)),sK50(app(sK21(sK7,sK8),sK8))) = app(sK21(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_249])]) ).
fof(f2531,plain,
( cons(sK51(app(sK21(sK7,sK8),sK8)),sK50(app(sK21(sK7,sK8),sK8))) = app(sK21(sK7,sK8),sK8)
| nil = app(sK21(sK7,sK8),sK8)
| ~ spl52_27 ),
inference(resolution,[],[f638,f414]) ).
fof(f414,plain,
! [X0] :
( ~ ssList(X0)
| cons(sK51(X0),sK50(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ~ ssList(X0)
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ),
inference(flattening,[],[f111]) ).
fof(f111,plain,
! [X0] :
( nil = X0
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( nil = X0
| ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f2539,plain,
( spl52_248
| spl52_72
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f2525,f637,f964,f2536]) ).
fof(f2536,plain,
( spl52_248
<=> cons(hd(app(sK21(sK7,sK8),sK8)),tl(app(sK21(sK7,sK8),sK8))) = app(sK21(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_248])]) ).
fof(f2525,plain,
( nil = app(sK21(sK7,sK8),sK8)
| cons(hd(app(sK21(sK7,sK8),sK8)),tl(app(sK21(sK7,sK8),sK8))) = app(sK21(sK7,sK8),sK8)
| ~ spl52_27 ),
inference(resolution,[],[f638,f274]) ).
fof(f274,plain,
! [X0] :
( ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0
| nil = X0 ),
inference(cnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| cons(hd(X0),tl(X0)) = X0 ),
inference(flattening,[],[f160]) ).
fof(f160,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f2524,plain,
( ~ spl52_27
| ~ spl52_26
| spl52_247
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f2499,f616,f2520,f633,f637]) ).
fof(f2520,plain,
( spl52_247
<=> ! [X0] :
( app(sK21(sK7,sK8),sK8) = X0
| ~ ssList(X0)
| app(X0,sK22(sK7,sK8)) != sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_247])]) ).
fof(f616,plain,
( spl52_24
<=> app(app(sK21(sK7,sK8),sK8),sK22(sK7,sK8)) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_24])]) ).
fof(f2499,plain,
( ! [X1] :
( sK7 != app(X1,sK22(sK7,sK8))
| ~ ssList(X1)
| ~ ssList(sK22(sK7,sK8))
| ~ ssList(app(sK21(sK7,sK8),sK8))
| app(sK21(sK7,sK8),sK8) = X1 )
| ~ spl52_24 ),
inference(superposition,[],[f233,f618]) ).
fof(f618,plain,
( app(app(sK21(sK7,sK8),sK8),sK22(sK7,sK8)) = sK7
| ~ spl52_24 ),
inference(avatar_component_clause,[],[f616]) ).
fof(f2523,plain,
( ~ spl52_27
| ~ spl52_26
| spl52_245
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f2504,f616,f2512,f633,f637]) ).
fof(f2512,plain,
( spl52_245
<=> ! [X5] :
( app(app(sK21(sK7,sK8),sK8),X5) != sK7
| ~ ssList(X5)
| sK22(sK7,sK8) = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_245])]) ).
fof(f2504,plain,
( ! [X6] :
( sK22(sK7,sK8) = X6
| app(app(sK21(sK7,sK8),sK8),X6) != sK7
| ~ ssList(X6)
| ~ ssList(sK22(sK7,sK8))
| ~ ssList(app(sK21(sK7,sK8),sK8)) )
| ~ spl52_24 ),
inference(superposition,[],[f303,f618]) ).
fof(f2522,plain,
( ~ spl52_26
| spl52_247
| ~ spl52_27
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f2498,f616,f637,f2520,f633]) ).
fof(f2498,plain,
( ! [X0] :
( ~ ssList(app(sK21(sK7,sK8),sK8))
| app(sK21(sK7,sK8),sK8) = X0
| app(X0,sK22(sK7,sK8)) != sK7
| ~ ssList(X0)
| ~ ssList(sK22(sK7,sK8)) )
| ~ spl52_24 ),
inference(superposition,[],[f233,f618]) ).
fof(f2518,plain,
( ~ spl52_26
| spl52_246
| ~ spl52_27
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f2509,f616,f637,f2516,f633]) ).
fof(f2509,plain,
( ! [X8] :
( ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ ssList(X8)
| segmentP(app(X8,sK7),app(sK21(sK7,sK8),sK8))
| ~ ssList(sK22(sK7,sK8)) )
| ~ spl52_24 ),
inference(superposition,[],[f656,f618]) ).
fof(f2514,plain,
( ~ spl52_26
| ~ spl52_27
| spl52_245
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f2503,f616,f2512,f637,f633]) ).
fof(f2503,plain,
( ! [X5] :
( app(app(sK21(sK7,sK8),sK8),X5) != sK7
| ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ ssList(sK22(sK7,sK8))
| sK22(sK7,sK8) = X5
| ~ ssList(X5) )
| ~ spl52_24 ),
inference(superposition,[],[f303,f618]) ).
fof(f2493,plain,
( ~ spl52_11
| spl52_75
| spl52_185 ),
inference(avatar_split_clause,[],[f2492,f2160,f977,f509]) ).
fof(f977,plain,
( spl52_75
<=> nil = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_75])]) ).
fof(f2160,plain,
( spl52_185
<=> ssItem(hd(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_185])]) ).
fof(f2492,plain,
( nil = sK7
| ~ ssList(sK7)
| spl52_185 ),
inference(resolution,[],[f2162,f248]) ).
fof(f2162,plain,
( ~ ssItem(hd(sK7))
| spl52_185 ),
inference(avatar_component_clause,[],[f2160]) ).
fof(f2491,plain,
( ~ spl52_26
| ~ spl52_8
| spl52_244
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1275,f1241,f2489,f494,f633]) ).
fof(f1241,plain,
( spl52_103
<=> app(sK8,sK22(sK7,sK8)) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_103])]) ).
fof(f1275,plain,
( ! [X2] :
( ~ ssItem(X2)
| ~ memberP(sK8,X2)
| ~ ssList(sK8)
| ~ ssList(sK22(sK7,sK8))
| memberP(sK7,X2) )
| ~ spl52_103 ),
inference(superposition,[],[f239,f1243]) ).
fof(f1243,plain,
( app(sK8,sK22(sK7,sK8)) = sK7
| ~ spl52_103 ),
inference(avatar_component_clause,[],[f1241]) ).
fof(f2487,plain,
( ~ spl52_8
| ~ spl52_26
| spl52_243
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1274,f1241,f2485,f633,f494]) ).
fof(f2485,plain,
( spl52_243
<=> ! [X1] :
( ~ ssItem(X1)
| memberP(sK8,X1)
| ~ memberP(sK7,X1)
| memberP(sK22(sK7,sK8),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_243])]) ).
fof(f1274,plain,
( ! [X1] :
( ~ ssItem(X1)
| ~ ssList(sK22(sK7,sK8))
| memberP(sK22(sK7,sK8),X1)
| ~ memberP(sK7,X1)
| ~ ssList(sK8)
| memberP(sK8,X1) )
| ~ spl52_103 ),
inference(superposition,[],[f237,f1243]) ).
fof(f2483,plain,
( ~ spl52_8
| spl52_24
| ~ spl52_11
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f1256,f489,f509,f616,f494]) ).
fof(f489,plain,
( spl52_7
<=> segmentP(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_7])]) ).
fof(f1256,plain,
( ~ ssList(sK7)
| app(app(sK21(sK7,sK8),sK8),sK22(sK7,sK8)) = sK7
| ~ ssList(sK8)
| ~ spl52_7 ),
inference(resolution,[],[f491,f299]) ).
fof(f491,plain,
( segmentP(sK7,sK8)
| ~ spl52_7 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f2482,plain,
( spl52_14
| ~ spl52_18
| ~ spl52_9
| ~ spl52_28
| ~ spl52_45
| ~ spl52_76 ),
inference(avatar_split_clause,[],[f2481,f983,f742,f641,f499,f553,f531]) ).
fof(f742,plain,
( spl52_45
<=> app(nil,sK8) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_45])]) ).
fof(f983,plain,
( spl52_76
<=> nil = sK21(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_76])]) ).
fof(f2481,plain,
( ~ ssItem(sK10)
| memberP(sK7,sK10)
| ~ spl52_9
| ~ spl52_28
| ~ spl52_45
| ~ spl52_76 ),
inference(resolution,[],[f1227,f501]) ).
fof(f1227,plain,
( ! [X1] :
( ~ memberP(sK8,X1)
| memberP(sK7,X1)
| ~ ssItem(X1) )
| ~ spl52_28
| ~ spl52_45
| ~ spl52_76 ),
inference(forward_demodulation,[],[f1223,f744]) ).
fof(f744,plain,
( app(nil,sK8) = sK8
| ~ spl52_45 ),
inference(avatar_component_clause,[],[f742]) ).
fof(f1223,plain,
( ! [X1] :
( memberP(sK7,X1)
| ~ memberP(app(nil,sK8),X1)
| ~ ssItem(X1) )
| ~ spl52_28
| ~ spl52_76 ),
inference(backward_demodulation,[],[f642,f985]) ).
fof(f985,plain,
( nil = sK21(sK7,sK8)
| ~ spl52_76 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f2480,plain,
( spl52_242
| ~ spl52_18
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f2462,f1962,f553,f2477]) ).
fof(f2477,plain,
( spl52_242
<=> sK10 = hd(cons(sK10,cons(sK10,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_242])]) ).
fof(f2462,plain,
( sK10 = hd(cons(sK10,cons(sK10,sK8)))
| ~ spl52_18
| ~ spl52_171 ),
inference(resolution,[],[f879,f1963]) ).
fof(f879,plain,
( ! [X6] :
( ~ ssList(X6)
| sK10 = hd(cons(sK10,X6)) )
| ~ spl52_18 ),
inference(resolution,[],[f278,f555]) ).
fof(f278,plain,
! [X0,X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( ! [X1] :
( ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f2458,plain,
( ~ spl52_230
| ~ spl52_229
| spl52_237
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2395,f1369,f2438,f2403,f2407]) ).
fof(f2407,plain,
( spl52_230
<=> ssList(sK50(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_230])]) ).
fof(f2403,plain,
( spl52_229
<=> ssItem(sK51(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_229])]) ).
fof(f2438,plain,
( spl52_237
<=> ! [X2,X3] :
( cons(X2,X3) != sK7
| sK50(sK7) = X3
| ~ ssItem(X2)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_237])]) ).
fof(f1369,plain,
( spl52_109
<=> sK7 = cons(sK51(sK7),sK50(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_109])]) ).
fof(f2395,plain,
( ! [X4,X5] :
( sK50(sK7) = X5
| ~ ssItem(sK51(sK7))
| ~ ssList(X5)
| sK7 != cons(X4,X5)
| ~ ssList(sK50(sK7))
| ~ ssItem(X4) )
| ~ spl52_109 ),
inference(superposition,[],[f394,f1371]) ).
fof(f1371,plain,
( sK7 = cons(sK51(sK7),sK50(sK7))
| ~ spl52_109 ),
inference(avatar_component_clause,[],[f1369]) ).
fof(f394,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssList(X1)
| X0 = X1
| ~ ssItem(X2)
| ~ ssList(X0)
| ~ ssItem(X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ! [X2] :
( ! [X3] :
( ~ ssItem(X3)
| ( X2 = X3
& X0 = X1 )
| cons(X2,X0) != cons(X3,X1) )
| ~ ssItem(X2) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f200]) ).
fof(f200,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(f2457,plain,
( spl52_240
| ~ spl52_229
| spl52_241
| ~ spl52_138
| ~ spl52_230
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2386,f1369,f2407,f1630,f2454,f2403,f2450]) ).
fof(f2450,plain,
( spl52_240
<=> totalorderedP(sK50(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_240])]) ).
fof(f2454,plain,
( spl52_241
<=> nil = sK50(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_241])]) ).
fof(f1630,plain,
( spl52_138
<=> totalorderedP(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_138])]) ).
fof(f2386,plain,
( ~ ssList(sK50(sK7))
| ~ totalorderedP(sK7)
| nil = sK50(sK7)
| ~ ssItem(sK51(sK7))
| totalorderedP(sK50(sK7))
| ~ spl52_109 ),
inference(superposition,[],[f318,f1371]) ).
fof(f318,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0)
| totalorderedP(X1)
| nil = X1 ),
inference(cnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( nil = X1
| ( leq(X0,hd(X1))
& nil != X1
& totalorderedP(X1) ) ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( nil = X1
| ( leq(X0,hd(X1))
& nil != X1
& totalorderedP(X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f2448,plain,
( ~ spl52_229
| spl52_239
| ~ spl52_230
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2399,f1369,f2407,f2446,f2403]) ).
fof(f2446,plain,
( spl52_239
<=> ! [X13,X14,X15] :
( ~ ssList(app(app(X13,cons(X14,X15)),sK7))
| ~ ssList(X15)
| ~ ssList(X13)
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK7))
| leq(X14,sK51(sK7))
| ~ ssItem(X14) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_239])]) ).
fof(f2399,plain,
( ! [X14,X15,X13] :
( ~ ssList(sK50(sK7))
| ~ ssList(app(app(X13,cons(X14,X15)),sK7))
| ~ ssItem(X14)
| leq(X14,sK51(sK7))
| ~ ssItem(sK51(sK7))
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK7))
| ~ ssList(X13)
| ~ ssList(X15) )
| ~ spl52_109 ),
inference(superposition,[],[f426,f1371]) ).
fof(f2444,plain,
( ~ spl52_229
| ~ spl52_230
| spl52_238
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2389,f1369,f2442,f2407,f2403]) ).
fof(f2442,plain,
( spl52_238
<=> ! [X1] :
( ~ memberP(sK50(sK7),X1)
| memberP(sK7,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_238])]) ).
fof(f2389,plain,
( ! [X1] :
( ~ memberP(sK50(sK7),X1)
| ~ ssList(sK50(sK7))
| ~ ssItem(X1)
| memberP(sK7,X1)
| ~ ssItem(sK51(sK7)) )
| ~ spl52_109 ),
inference(superposition,[],[f379,f1371]) ).
fof(f379,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ memberP(X2,X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ~ ssItem(X1)
| ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( X0 = X1
| memberP(X2,X0) ) )
| ~ ssList(X2) ) ) ),
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(f2440,plain,
( ~ spl52_230
| ~ spl52_229
| spl52_237
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2394,f1369,f2438,f2403,f2407]) ).
fof(f2394,plain,
( ! [X2,X3] :
( cons(X2,X3) != sK7
| ~ ssItem(sK51(sK7))
| ~ ssList(X3)
| ~ ssItem(X2)
| sK50(sK7) = X3
| ~ ssList(sK50(sK7)) )
| ~ spl52_109 ),
inference(superposition,[],[f394,f1371]) ).
fof(f2436,plain,
( ~ spl52_230
| ~ spl52_229
| spl52_235
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2397,f1369,f2429,f2403,f2407]) ).
fof(f2429,plain,
( spl52_235
<=> ! [X6,X7] :
( cons(X6,X7) != sK7
| ~ ssList(X7)
| ~ ssItem(X6)
| sK51(sK7) = X6 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_235])]) ).
fof(f2397,plain,
( ! [X8,X9] :
( ~ ssList(X9)
| ~ ssItem(sK51(sK7))
| ~ ssList(sK50(sK7))
| sK7 != cons(X8,X9)
| sK51(sK7) = X8
| ~ ssItem(X8) )
| ~ spl52_109 ),
inference(superposition,[],[f395,f1371]) ).
fof(f395,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| X2 = X3
| ~ ssItem(X3) ),
inference(cnf_transformation,[],[f201]) ).
fof(f2435,plain,
( ~ spl52_229
| ~ spl52_230
| spl52_236
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2388,f1369,f2433,f2407,f2403]) ).
fof(f2433,plain,
( spl52_236
<=> ! [X0] :
( sK51(sK7) = X0
| memberP(sK50(sK7),X0)
| ~ memberP(sK7,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_236])]) ).
fof(f2388,plain,
( ! [X0] :
( sK51(sK7) = X0
| ~ ssItem(X0)
| ~ ssList(sK50(sK7))
| ~ memberP(sK7,X0)
| ~ ssItem(sK51(sK7))
| memberP(sK50(sK7),X0) )
| ~ spl52_109 ),
inference(superposition,[],[f378,f1371]) ).
fof(f378,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f2431,plain,
( spl52_235
| ~ spl52_229
| ~ spl52_230
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2396,f1369,f2407,f2403,f2429]) ).
fof(f2396,plain,
( ! [X6,X7] :
( ~ ssList(sK50(sK7))
| ~ ssItem(sK51(sK7))
| cons(X6,X7) != sK7
| sK51(sK7) = X6
| ~ ssItem(X6)
| ~ ssList(X7) )
| ~ spl52_109 ),
inference(superposition,[],[f395,f1371]) ).
fof(f2427,plain,
( ~ spl52_230
| ~ spl52_229
| spl52_234
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2400,f1369,f2425,f2403,f2407]) ).
fof(f2425,plain,
( spl52_234
<=> ! [X16] :
( memberP(app(X16,sK7),sK51(sK7))
| ~ ssList(X16)
| ~ ssList(app(X16,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_234])]) ).
fof(f2400,plain,
( ! [X16] :
( memberP(app(X16,sK7),sK51(sK7))
| ~ ssItem(sK51(sK7))
| ~ ssList(sK50(sK7))
| ~ ssList(app(X16,sK7))
| ~ ssList(X16) )
| ~ spl52_109 ),
inference(superposition,[],[f441,f1371]) ).
fof(f441,plain,
! [X2,X3,X1] :
( ~ ssList(app(X2,cons(X1,X3)))
| ~ ssList(X2)
| ~ ssList(X3)
| memberP(app(X2,cons(X1,X3)),X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f358]) ).
fof(f358,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X1)
| memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
<=> memberP(X0,X1) )
| ~ ssItem(X1) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ? [X2] :
( ssList(X2)
& ? [X3] :
( ssList(X3)
& app(X2,cons(X1,X3)) = X0 ) )
<=> memberP(X0,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f2423,plain,
( ~ spl52_230
| ~ spl52_229
| ~ spl52_233
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2390,f1369,f2420,f2403,f2407]) ).
fof(f2420,plain,
( spl52_233
<=> sK50(sK7) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_233])]) ).
fof(f2390,plain,
( sK50(sK7) != sK7
| ~ ssItem(sK51(sK7))
| ~ ssList(sK50(sK7))
| ~ spl52_109 ),
inference(superposition,[],[f383,f1371]) ).
fof(f383,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) ) ),
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(f2418,plain,
( spl52_232
| ~ spl52_229
| ~ spl52_230
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2401,f1369,f2407,f2403,f2415]) ).
fof(f2415,plain,
( spl52_232
<=> memberP(sK7,sK51(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_232])]) ).
fof(f2401,plain,
( ~ ssList(sK50(sK7))
| ~ ssItem(sK51(sK7))
| memberP(sK7,sK51(sK7))
| ~ spl52_109 ),
inference(superposition,[],[f454,f1371]) ).
fof(f454,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f445]) ).
fof(f445,plain,
! [X2,X1] :
( ~ ssItem(X1)
| ~ ssItem(X1)
| ~ ssList(X2)
| memberP(cons(X1,X2),X1) ),
inference(equality_resolution,[],[f380]) ).
fof(f380,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| X0 != X1
| memberP(cons(X1,X2),X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f125]) ).
fof(f2413,plain,
( ~ spl52_229
| ~ spl52_230
| spl52_231
| ~ spl52_109 ),
inference(avatar_split_clause,[],[f2398,f1369,f2411,f2407,f2403]) ).
fof(f2411,plain,
( spl52_231
<=> ! [X11,X12,X10] :
( ~ ssList(X10)
| ~ ssList(app(app(X10,sK7),cons(X11,X12)))
| ~ ssList(X12)
| ~ ssItem(X11)
| leq(sK51(sK7),X11)
| ~ totalorderedP(app(app(X10,sK7),cons(X11,X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_231])]) ).
fof(f2398,plain,
( ! [X10,X11,X12] :
( ~ ssList(X10)
| ~ ssList(sK50(sK7))
| ~ totalorderedP(app(app(X10,sK7),cons(X11,X12)))
| leq(sK51(sK7),X11)
| ~ ssItem(sK51(sK7))
| ~ ssItem(X11)
| ~ ssList(X12)
| ~ ssList(app(app(X10,sK7),cons(X11,X12))) )
| ~ spl52_109 ),
inference(superposition,[],[f426,f1371]) ).
fof(f2385,plain,
( ~ spl52_228
| ~ spl52_216
| ~ spl52_218
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2317,f1359,f2338,f2330,f2382]) ).
fof(f2382,plain,
( spl52_228
<=> sK50(sK8) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_228])]) ).
fof(f2330,plain,
( spl52_216
<=> ssItem(sK51(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_216])]) ).
fof(f2338,plain,
( spl52_218
<=> ssList(sK50(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_218])]) ).
fof(f1359,plain,
( spl52_107
<=> sK8 = cons(sK51(sK8),sK50(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_107])]) ).
fof(f2317,plain,
( ~ ssList(sK50(sK8))
| ~ ssItem(sK51(sK8))
| sK50(sK8) != sK8
| ~ spl52_107 ),
inference(superposition,[],[f383,f1361]) ).
fof(f1361,plain,
( sK8 = cons(sK51(sK8),sK50(sK8))
| ~ spl52_107 ),
inference(avatar_component_clause,[],[f1359]) ).
fof(f2380,plain,
( ~ spl52_218
| ~ spl52_216
| spl52_224
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2323,f1359,f2364,f2330,f2338]) ).
fof(f2364,plain,
( spl52_224
<=> ! [X9,X8] :
( cons(X8,X9) != sK8
| sK51(sK8) = X8
| ~ ssList(X9)
| ~ ssItem(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_224])]) ).
fof(f2323,plain,
( ! [X6,X7] :
( cons(X6,X7) != sK8
| ~ ssItem(X6)
| ~ ssItem(sK51(sK8))
| ~ ssList(X7)
| ~ ssList(sK50(sK8))
| sK51(sK8) = X6 )
| ~ spl52_107 ),
inference(superposition,[],[f395,f1361]) ).
fof(f2379,plain,
( spl52_227
| ~ spl52_216
| ~ spl52_218
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2326,f1359,f2338,f2330,f2377]) ).
fof(f2377,plain,
( spl52_227
<=> ! [X13,X14,X15] :
( ~ ssList(X15)
| ~ ssList(app(app(X13,cons(X14,X15)),sK8))
| leq(X14,sK51(sK8))
| ~ ssItem(X14)
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK8))
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_227])]) ).
fof(f2326,plain,
( ! [X14,X15,X13] :
( ~ ssList(sK50(sK8))
| ~ ssItem(sK51(sK8))
| ~ ssList(X15)
| ~ ssList(X13)
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK8))
| ~ ssItem(X14)
| leq(X14,sK51(sK8))
| ~ ssList(app(app(X13,cons(X14,X15)),sK8)) )
| ~ spl52_107 ),
inference(superposition,[],[f426,f1361]) ).
fof(f2375,plain,
( ~ spl52_218
| ~ spl52_216
| spl52_220
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2322,f1359,f2347,f2330,f2338]) ).
fof(f2347,plain,
( spl52_220
<=> ! [X2,X3] :
( sK50(sK8) = X3
| ~ ssItem(X2)
| cons(X2,X3) != sK8
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_220])]) ).
fof(f2322,plain,
( ! [X4,X5] :
( sK8 != cons(X4,X5)
| ~ ssItem(sK51(sK8))
| ~ ssList(X5)
| ~ ssItem(X4)
| ~ ssList(sK50(sK8))
| sK50(sK8) = X5 )
| ~ spl52_107 ),
inference(superposition,[],[f394,f1361]) ).
fof(f2374,plain,
( ~ spl52_218
| ~ spl52_216
| spl52_226
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2316,f1359,f2372,f2330,f2338]) ).
fof(f2372,plain,
( spl52_226
<=> ! [X1] :
( memberP(sK8,X1)
| ~ memberP(sK50(sK8),X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_226])]) ).
fof(f2316,plain,
( ! [X1] :
( memberP(sK8,X1)
| ~ ssItem(X1)
| ~ ssItem(sK51(sK8))
| ~ memberP(sK50(sK8),X1)
| ~ ssList(sK50(sK8)) )
| ~ spl52_107 ),
inference(superposition,[],[f379,f1361]) ).
fof(f2370,plain,
( ~ spl52_218
| ~ spl52_216
| spl52_225
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2315,f1359,f2368,f2330,f2338]) ).
fof(f2368,plain,
( spl52_225
<=> ! [X0] :
( memberP(sK50(sK8),X0)
| ~ memberP(sK8,X0)
| ~ ssItem(X0)
| sK51(sK8) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_225])]) ).
fof(f2315,plain,
( ! [X0] :
( memberP(sK50(sK8),X0)
| ~ ssItem(sK51(sK8))
| sK51(sK8) = X0
| ~ ssItem(X0)
| ~ memberP(sK8,X0)
| ~ ssList(sK50(sK8)) )
| ~ spl52_107 ),
inference(superposition,[],[f378,f1361]) ).
fof(f2366,plain,
( ~ spl52_216
| ~ spl52_218
| spl52_224
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2324,f1359,f2364,f2338,f2330]) ).
fof(f2324,plain,
( ! [X8,X9] :
( cons(X8,X9) != sK8
| ~ ssList(sK50(sK8))
| ~ ssItem(sK51(sK8))
| ~ ssItem(X8)
| ~ ssList(X9)
| sK51(sK8) = X8 )
| ~ spl52_107 ),
inference(superposition,[],[f395,f1361]) ).
fof(f2362,plain,
( spl52_222
| spl52_223
| ~ spl52_16
| ~ spl52_216
| ~ spl52_218
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2313,f1359,f2338,f2330,f541,f2359,f2355]) ).
fof(f2355,plain,
( spl52_222
<=> totalorderedP(sK50(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_222])]) ).
fof(f2359,plain,
( spl52_223
<=> nil = sK50(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_223])]) ).
fof(f541,plain,
( spl52_16
<=> totalorderedP(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_16])]) ).
fof(f2313,plain,
( ~ ssList(sK50(sK8))
| ~ ssItem(sK51(sK8))
| ~ totalorderedP(sK8)
| nil = sK50(sK8)
| totalorderedP(sK50(sK8))
| ~ spl52_107 ),
inference(superposition,[],[f318,f1361]) ).
fof(f2353,plain,
( ~ spl52_218
| ~ spl52_216
| spl52_221
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2327,f1359,f2351,f2330,f2338]) ).
fof(f2351,plain,
( spl52_221
<=> ! [X16] :
( memberP(app(X16,sK8),sK51(sK8))
| ~ ssList(X16)
| ~ ssList(app(X16,sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_221])]) ).
fof(f2327,plain,
( ! [X16] :
( memberP(app(X16,sK8),sK51(sK8))
| ~ ssList(app(X16,sK8))
| ~ ssList(X16)
| ~ ssItem(sK51(sK8))
| ~ ssList(sK50(sK8)) )
| ~ spl52_107 ),
inference(superposition,[],[f441,f1361]) ).
fof(f2349,plain,
( ~ spl52_216
| ~ spl52_218
| spl52_220
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2321,f1359,f2347,f2338,f2330]) ).
fof(f2321,plain,
( ! [X2,X3] :
( sK50(sK8) = X3
| ~ ssList(sK50(sK8))
| ~ ssList(X3)
| ~ ssItem(sK51(sK8))
| cons(X2,X3) != sK8
| ~ ssItem(X2) )
| ~ spl52_107 ),
inference(superposition,[],[f394,f1361]) ).
fof(f2345,plain,
( ~ spl52_218
| ~ spl52_216
| spl52_219
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2325,f1359,f2343,f2330,f2338]) ).
fof(f2343,plain,
( spl52_219
<=> ! [X12,X11,X10] :
( leq(sK51(sK8),X11)
| ~ ssItem(X11)
| ~ ssList(X10)
| ~ ssList(app(app(X10,sK8),cons(X11,X12)))
| ~ ssList(X12)
| ~ totalorderedP(app(app(X10,sK8),cons(X11,X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_219])]) ).
fof(f2325,plain,
( ! [X10,X11,X12] :
( leq(sK51(sK8),X11)
| ~ ssItem(sK51(sK8))
| ~ totalorderedP(app(app(X10,sK8),cons(X11,X12)))
| ~ ssList(X12)
| ~ ssList(app(app(X10,sK8),cons(X11,X12)))
| ~ ssList(sK50(sK8))
| ~ ssList(X10)
| ~ ssItem(X11) )
| ~ spl52_107 ),
inference(superposition,[],[f426,f1361]) ).
fof(f2341,plain,
( ~ spl52_216
| spl52_217
| ~ spl52_218
| ~ spl52_107 ),
inference(avatar_split_clause,[],[f2328,f1359,f2338,f2334,f2330]) ).
fof(f2334,plain,
( spl52_217
<=> memberP(sK8,sK51(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_217])]) ).
fof(f2328,plain,
( ~ ssList(sK50(sK8))
| memberP(sK8,sK51(sK8))
| ~ ssItem(sK51(sK8))
| ~ spl52_107 ),
inference(superposition,[],[f454,f1361]) ).
fof(f2312,plain,
( ~ spl52_200
| ~ spl52_201
| spl52_209
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2235,f1320,f2282,f2247,f2243]) ).
fof(f2247,plain,
( spl52_201
<=> ssList(tl(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_201])]) ).
fof(f2282,plain,
( spl52_209
<=> ! [X2,X3] :
( cons(X2,X3) != sK8
| ~ ssItem(X2)
| ~ ssList(X3)
| tl(sK8) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_209])]) ).
fof(f1320,plain,
( spl52_106
<=> cons(hd(sK8),tl(sK8)) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_106])]) ).
fof(f2235,plain,
( ! [X4,X5] :
( ~ ssItem(X4)
| ~ ssList(tl(sK8))
| ~ ssItem(hd(sK8))
| ~ ssList(X5)
| tl(sK8) = X5
| sK8 != cons(X4,X5) )
| ~ spl52_106 ),
inference(superposition,[],[f394,f1322]) ).
fof(f1322,plain,
( cons(hd(sK8),tl(sK8)) = sK8
| ~ spl52_106 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f2311,plain,
( ~ spl52_201
| ~ spl52_200
| spl52_213
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2236,f1320,f2300,f2243,f2247]) ).
fof(f2300,plain,
( spl52_213
<=> ! [X9,X8] :
( ~ ssItem(X8)
| ~ ssList(X9)
| hd(sK8) = X8
| cons(X8,X9) != sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_213])]) ).
fof(f2236,plain,
( ! [X6,X7] :
( cons(X6,X7) != sK8
| ~ ssItem(hd(sK8))
| hd(sK8) = X6
| ~ ssList(tl(sK8))
| ~ ssItem(X6)
| ~ ssList(X7) )
| ~ spl52_106 ),
inference(superposition,[],[f395,f1322]) ).
fof(f2310,plain,
( ~ spl52_201
| spl52_215
| ~ spl52_200
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2240,f1320,f2243,f2308,f2247]) ).
fof(f2308,plain,
( spl52_215
<=> ! [X16] :
( ~ ssList(X16)
| ~ ssList(app(X16,sK8))
| memberP(app(X16,sK8),hd(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_215])]) ).
fof(f2240,plain,
( ! [X16] :
( ~ ssItem(hd(sK8))
| ~ ssList(X16)
| memberP(app(X16,sK8),hd(sK8))
| ~ ssList(app(X16,sK8))
| ~ ssList(tl(sK8)) )
| ~ spl52_106 ),
inference(superposition,[],[f441,f1322]) ).
fof(f2306,plain,
( ~ spl52_201
| ~ spl52_200
| spl52_214
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2239,f1320,f2304,f2243,f2247]) ).
fof(f2304,plain,
( spl52_214
<=> ! [X13,X14,X15] :
( ~ ssList(X15)
| ~ ssList(app(app(X13,cons(X14,X15)),sK8))
| ~ ssItem(X14)
| ~ ssList(X13)
| leq(X14,hd(sK8))
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_214])]) ).
fof(f2239,plain,
( ! [X14,X15,X13] :
( ~ ssList(X15)
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK8))
| leq(X14,hd(sK8))
| ~ ssList(X13)
| ~ ssItem(hd(sK8))
| ~ ssItem(X14)
| ~ ssList(tl(sK8))
| ~ ssList(app(app(X13,cons(X14,X15)),sK8)) )
| ~ spl52_106 ),
inference(superposition,[],[f426,f1322]) ).
fof(f2302,plain,
( ~ spl52_200
| ~ spl52_201
| spl52_213
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2237,f1320,f2300,f2247,f2243]) ).
fof(f2237,plain,
( ! [X8,X9] :
( ~ ssItem(X8)
| cons(X8,X9) != sK8
| hd(sK8) = X8
| ~ ssList(tl(sK8))
| ~ ssList(X9)
| ~ ssItem(hd(sK8)) )
| ~ spl52_106 ),
inference(superposition,[],[f395,f1322]) ).
fof(f2298,plain,
( ~ spl52_201
| spl52_212
| ~ spl52_200
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2229,f1320,f2243,f2296,f2247]) ).
fof(f2296,plain,
( spl52_212
<=> ! [X1] :
( memberP(sK8,X1)
| ~ ssItem(X1)
| ~ memberP(tl(sK8),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_212])]) ).
fof(f2229,plain,
( ! [X1] :
( ~ ssItem(hd(sK8))
| memberP(sK8,X1)
| ~ ssList(tl(sK8))
| ~ memberP(tl(sK8),X1)
| ~ ssItem(X1) )
| ~ spl52_106 ),
inference(superposition,[],[f379,f1322]) ).
fof(f2294,plain,
( ~ spl52_200
| spl52_204
| spl52_211
| ~ spl52_16
| ~ spl52_201
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2226,f1320,f2247,f541,f2291,f2259,f2243]) ).
fof(f2259,plain,
( spl52_204
<=> nil = tl(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_204])]) ).
fof(f2291,plain,
( spl52_211
<=> totalorderedP(tl(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_211])]) ).
fof(f2226,plain,
( ~ ssList(tl(sK8))
| ~ totalorderedP(sK8)
| totalorderedP(tl(sK8))
| nil = tl(sK8)
| ~ ssItem(hd(sK8))
| ~ spl52_106 ),
inference(superposition,[],[f318,f1322]) ).
fof(f2289,plain,
( ~ spl52_200
| spl52_210
| ~ spl52_201
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2241,f1320,f2247,f2286,f2243]) ).
fof(f2286,plain,
( spl52_210
<=> memberP(sK8,hd(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_210])]) ).
fof(f2241,plain,
( ~ ssList(tl(sK8))
| memberP(sK8,hd(sK8))
| ~ ssItem(hd(sK8))
| ~ spl52_106 ),
inference(superposition,[],[f454,f1322]) ).
fof(f2284,plain,
( ~ spl52_201
| ~ spl52_200
| spl52_209
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2234,f1320,f2282,f2243,f2247]) ).
fof(f2234,plain,
( ! [X2,X3] :
( cons(X2,X3) != sK8
| tl(sK8) = X3
| ~ ssList(X3)
| ~ ssItem(X2)
| ~ ssItem(hd(sK8))
| ~ ssList(tl(sK8)) )
| ~ spl52_106 ),
inference(superposition,[],[f394,f1322]) ).
fof(f2280,plain,
( ~ spl52_200
| ~ spl52_208
| ~ spl52_201
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2230,f1320,f2247,f2277,f2243]) ).
fof(f2277,plain,
( spl52_208
<=> sK8 = tl(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_208])]) ).
fof(f2230,plain,
( ~ ssList(tl(sK8))
| sK8 != tl(sK8)
| ~ ssItem(hd(sK8))
| ~ spl52_106 ),
inference(superposition,[],[f383,f1322]) ).
fof(f2275,plain,
( spl52_204
| spl52_207
| ~ spl52_200
| ~ spl52_201
| ~ spl52_203
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2232,f1320,f2255,f2247,f2243,f2272,f2259]) ).
fof(f2272,plain,
( spl52_207
<=> strictorderedP(tl(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_207])]) ).
fof(f2255,plain,
( spl52_203
<=> strictorderedP(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_203])]) ).
fof(f2232,plain,
( ~ strictorderedP(sK8)
| ~ ssList(tl(sK8))
| ~ ssItem(hd(sK8))
| strictorderedP(tl(sK8))
| nil = tl(sK8)
| ~ spl52_106 ),
inference(superposition,[],[f391,f1322]) ).
fof(f391,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| strictorderedP(X1)
| ~ ssItem(X0)
| nil = X1
| ~ ssList(X1) ),
inference(cnf_transformation,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ! [X1] :
( ~ ssList(X1)
| ( strictorderedP(cons(X0,X1))
<=> ( nil = X1
| ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 ) ) ) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( nil = X1
| ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f2270,plain,
( ~ spl52_201
| spl52_206
| ~ spl52_200
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2228,f1320,f2243,f2268,f2247]) ).
fof(f2268,plain,
( spl52_206
<=> ! [X0] :
( memberP(tl(sK8),X0)
| hd(sK8) = X0
| ~ memberP(sK8,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_206])]) ).
fof(f2228,plain,
( ! [X0] :
( ~ ssItem(hd(sK8))
| memberP(tl(sK8),X0)
| ~ ssItem(X0)
| ~ memberP(sK8,X0)
| hd(sK8) = X0
| ~ ssList(tl(sK8)) )
| ~ spl52_106 ),
inference(superposition,[],[f378,f1322]) ).
fof(f2266,plain,
( ~ spl52_200
| ~ spl52_201
| ~ spl52_203
| spl52_204
| spl52_205
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2233,f1320,f2263,f2259,f2255,f2247,f2243]) ).
fof(f2263,plain,
( spl52_205
<=> lt(hd(sK8),hd(tl(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_205])]) ).
fof(f2233,plain,
( lt(hd(sK8),hd(tl(sK8)))
| nil = tl(sK8)
| ~ strictorderedP(sK8)
| ~ ssList(tl(sK8))
| ~ ssItem(hd(sK8))
| ~ spl52_106 ),
inference(superposition,[],[f392,f1322]) ).
fof(f392,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| nil = X1
| ~ ssList(X1)
| ~ ssItem(X0)
| lt(X0,hd(X1)) ),
inference(cnf_transformation,[],[f168]) ).
fof(f2253,plain,
( ~ spl52_200
| ~ spl52_201
| spl52_202
| ~ spl52_106 ),
inference(avatar_split_clause,[],[f2238,f1320,f2251,f2247,f2243]) ).
fof(f2251,plain,
( spl52_202
<=> ! [X11,X12,X10] :
( ~ totalorderedP(app(app(X10,sK8),cons(X11,X12)))
| leq(hd(sK8),X11)
| ~ ssList(X10)
| ~ ssItem(X11)
| ~ ssList(app(app(X10,sK8),cons(X11,X12)))
| ~ ssList(X12) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_202])]) ).
fof(f2238,plain,
( ! [X10,X11,X12] :
( ~ totalorderedP(app(app(X10,sK8),cons(X11,X12)))
| ~ ssList(X12)
| ~ ssList(app(app(X10,sK8),cons(X11,X12)))
| ~ ssList(tl(sK8))
| ~ ssItem(X11)
| ~ ssList(X10)
| leq(hd(sK8),X11)
| ~ ssItem(hd(sK8)) )
| ~ spl52_106 ),
inference(superposition,[],[f426,f1322]) ).
fof(f2225,plain,
( spl52_199
| ~ spl52_185
| ~ spl52_186
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2154,f1310,f2164,f2160,f2222]) ).
fof(f2222,plain,
( spl52_199
<=> memberP(sK7,hd(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_199])]) ).
fof(f2164,plain,
( spl52_186
<=> ssList(tl(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_186])]) ).
fof(f1310,plain,
( spl52_104
<=> cons(hd(sK7),tl(sK7)) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_104])]) ).
fof(f2154,plain,
( ~ ssList(tl(sK7))
| ~ ssItem(hd(sK7))
| memberP(sK7,hd(sK7))
| ~ spl52_104 ),
inference(superposition,[],[f454,f1312]) ).
fof(f1312,plain,
( cons(hd(sK7),tl(sK7)) = sK7
| ~ spl52_104 ),
inference(avatar_component_clause,[],[f1310]) ).
fof(f2220,plain,
( spl52_187
| ~ spl52_188
| ~ spl52_185
| spl52_198
| ~ spl52_186
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2145,f1310,f2164,f2217,f2160,f2172,f2168]) ).
fof(f2168,plain,
( spl52_187
<=> nil = tl(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_187])]) ).
fof(f2172,plain,
( spl52_188
<=> strictorderedP(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_188])]) ).
fof(f2217,plain,
( spl52_198
<=> strictorderedP(tl(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_198])]) ).
fof(f2145,plain,
( ~ ssList(tl(sK7))
| strictorderedP(tl(sK7))
| ~ ssItem(hd(sK7))
| ~ strictorderedP(sK7)
| nil = tl(sK7)
| ~ spl52_104 ),
inference(superposition,[],[f391,f1312]) ).
fof(f2215,plain,
( spl52_192
| ~ spl52_186
| ~ spl52_185
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2150,f1310,f2160,f2164,f2190]) ).
fof(f2190,plain,
( spl52_192
<=> ! [X6,X7] :
( cons(X6,X7) != sK7
| ~ ssItem(X6)
| hd(sK7) = X6
| ~ ssList(X7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_192])]) ).
fof(f2150,plain,
( ! [X8,X9] :
( ~ ssItem(hd(sK7))
| ~ ssList(tl(sK7))
| sK7 != cons(X8,X9)
| ~ ssList(X9)
| ~ ssItem(X8)
| hd(sK7) = X8 )
| ~ spl52_104 ),
inference(superposition,[],[f395,f1312]) ).
fof(f2214,plain,
( ~ spl52_186
| ~ spl52_185
| spl52_197
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2153,f1310,f2212,f2160,f2164]) ).
fof(f2212,plain,
( spl52_197
<=> ! [X16] :
( ~ ssList(X16)
| memberP(app(X16,sK7),hd(sK7))
| ~ ssList(app(X16,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_197])]) ).
fof(f2153,plain,
( ! [X16] :
( ~ ssList(X16)
| ~ ssItem(hd(sK7))
| ~ ssList(tl(sK7))
| ~ ssList(app(X16,sK7))
| memberP(app(X16,sK7),hd(sK7)) )
| ~ spl52_104 ),
inference(superposition,[],[f441,f1312]) ).
fof(f2210,plain,
( ~ spl52_186
| spl52_187
| ~ spl52_138
| ~ spl52_185
| spl52_196
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2139,f1310,f2207,f2160,f1630,f2168,f2164]) ).
fof(f2207,plain,
( spl52_196
<=> totalorderedP(tl(sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_196])]) ).
fof(f2139,plain,
( totalorderedP(tl(sK7))
| ~ ssItem(hd(sK7))
| ~ totalorderedP(sK7)
| nil = tl(sK7)
| ~ ssList(tl(sK7))
| ~ spl52_104 ),
inference(superposition,[],[f318,f1312]) ).
fof(f2205,plain,
( ~ spl52_186
| spl52_195
| ~ spl52_185
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2152,f1310,f2160,f2203,f2164]) ).
fof(f2203,plain,
( spl52_195
<=> ! [X13,X14,X15] :
( ~ ssList(app(app(X13,cons(X14,X15)),sK7))
| leq(X14,hd(sK7))
| ~ ssItem(X14)
| ~ ssList(X15)
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK7))
| ~ ssList(X13) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_195])]) ).
fof(f2152,plain,
( ! [X14,X15,X13] :
( ~ ssItem(hd(sK7))
| ~ ssList(app(app(X13,cons(X14,X15)),sK7))
| ~ ssList(X13)
| ~ ssList(tl(sK7))
| ~ totalorderedP(app(app(X13,cons(X14,X15)),sK7))
| ~ ssList(X15)
| ~ ssItem(X14)
| leq(X14,hd(sK7)) )
| ~ spl52_104 ),
inference(superposition,[],[f426,f1312]) ).
fof(f2201,plain,
( ~ spl52_186
| ~ spl52_185
| ~ spl52_194
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2143,f1310,f2198,f2160,f2164]) ).
fof(f2198,plain,
( spl52_194
<=> sK7 = tl(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_194])]) ).
fof(f2143,plain,
( sK7 != tl(sK7)
| ~ ssItem(hd(sK7))
| ~ ssList(tl(sK7))
| ~ spl52_104 ),
inference(superposition,[],[f383,f1312]) ).
fof(f2196,plain,
( ~ spl52_185
| spl52_193
| ~ spl52_186
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2141,f1310,f2164,f2194,f2160]) ).
fof(f2194,plain,
( spl52_193
<=> ! [X0] :
( memberP(tl(sK7),X0)
| ~ memberP(sK7,X0)
| ~ ssItem(X0)
| hd(sK7) = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_193])]) ).
fof(f2141,plain,
( ! [X0] :
( ~ ssList(tl(sK7))
| memberP(tl(sK7),X0)
| hd(sK7) = X0
| ~ ssItem(X0)
| ~ memberP(sK7,X0)
| ~ ssItem(hd(sK7)) )
| ~ spl52_104 ),
inference(superposition,[],[f378,f1312]) ).
fof(f2192,plain,
( ~ spl52_186
| ~ spl52_185
| spl52_192
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2149,f1310,f2190,f2160,f2164]) ).
fof(f2149,plain,
( ! [X6,X7] :
( cons(X6,X7) != sK7
| ~ ssItem(hd(sK7))
| ~ ssList(tl(sK7))
| ~ ssList(X7)
| hd(sK7) = X6
| ~ ssItem(X6) )
| ~ spl52_104 ),
inference(superposition,[],[f395,f1312]) ).
fof(f2188,plain,
( ~ spl52_186
| ~ spl52_185
| spl52_191
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2142,f1310,f2186,f2160,f2164]) ).
fof(f2186,plain,
( spl52_191
<=> ! [X1] :
( ~ memberP(tl(sK7),X1)
| memberP(sK7,X1)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_191])]) ).
fof(f2142,plain,
( ! [X1] :
( ~ memberP(tl(sK7),X1)
| ~ ssItem(hd(sK7))
| ~ ssItem(X1)
| ~ ssList(tl(sK7))
| memberP(sK7,X1) )
| ~ spl52_104 ),
inference(superposition,[],[f379,f1312]) ).
fof(f2184,plain,
( ~ spl52_185
| ~ spl52_186
| spl52_190
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2151,f1310,f2182,f2164,f2160]) ).
fof(f2182,plain,
( spl52_190
<=> ! [X12,X11,X10] :
( ~ ssList(X10)
| leq(hd(sK7),X11)
| ~ ssItem(X11)
| ~ totalorderedP(app(app(X10,sK7),cons(X11,X12)))
| ~ ssList(X12)
| ~ ssList(app(app(X10,sK7),cons(X11,X12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_190])]) ).
fof(f2151,plain,
( ! [X10,X11,X12] :
( ~ ssList(X10)
| ~ ssList(app(app(X10,sK7),cons(X11,X12)))
| ~ ssList(X12)
| ~ ssList(tl(sK7))
| ~ ssItem(hd(sK7))
| ~ totalorderedP(app(app(X10,sK7),cons(X11,X12)))
| ~ ssItem(X11)
| leq(hd(sK7),X11) )
| ~ spl52_104 ),
inference(superposition,[],[f426,f1312]) ).
fof(f2180,plain,
( ~ spl52_186
| ~ spl52_185
| spl52_189
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2148,f1310,f2177,f2160,f2164]) ).
fof(f2177,plain,
( spl52_189
<=> ! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(X3)
| cons(X2,X3) != sK7
| tl(sK7) = X3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_189])]) ).
fof(f2148,plain,
( ! [X4,X5] :
( tl(sK7) = X5
| sK7 != cons(X4,X5)
| ~ ssItem(hd(sK7))
| ~ ssList(tl(sK7))
| ~ ssItem(X4)
| ~ ssList(X5) )
| ~ spl52_104 ),
inference(superposition,[],[f394,f1312]) ).
fof(f2179,plain,
( ~ spl52_185
| ~ spl52_186
| spl52_189
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2147,f1310,f2177,f2164,f2160]) ).
fof(f2147,plain,
( ! [X2,X3] :
( ~ ssItem(X2)
| ~ ssList(tl(sK7))
| tl(sK7) = X3
| cons(X2,X3) != sK7
| ~ ssList(X3)
| ~ ssItem(hd(sK7)) )
| ~ spl52_104 ),
inference(superposition,[],[f394,f1312]) ).
fof(f2175,plain,
( spl52_184
| ~ spl52_185
| ~ spl52_186
| spl52_187
| ~ spl52_188
| ~ spl52_104 ),
inference(avatar_split_clause,[],[f2146,f1310,f2172,f2168,f2164,f2160,f2156]) ).
fof(f2156,plain,
( spl52_184
<=> lt(hd(sK7),hd(tl(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_184])]) ).
fof(f2146,plain,
( ~ strictorderedP(sK7)
| nil = tl(sK7)
| ~ ssList(tl(sK7))
| ~ ssItem(hd(sK7))
| lt(hd(sK7),hd(tl(sK7)))
| ~ spl52_104 ),
inference(superposition,[],[f392,f1312]) ).
fof(f2069,plain,
( spl52_183
| spl52_172
| ~ spl52_67
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f2064,f1962,f925,f1966,f2066]) ).
fof(f2066,plain,
( spl52_183
<=> cons(sK10,sK8) = cons(sK10,tl(cons(sK10,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_183])]) ).
fof(f1966,plain,
( spl52_172
<=> nil = cons(sK10,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_172])]) ).
fof(f925,plain,
( spl52_67
<=> hd(cons(sK10,sK8)) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_67])]) ).
fof(f2064,plain,
( nil = cons(sK10,sK8)
| cons(sK10,sK8) = cons(sK10,tl(cons(sK10,sK8)))
| ~ spl52_67
| ~ spl52_171 ),
inference(forward_demodulation,[],[f2048,f927]) ).
fof(f927,plain,
( hd(cons(sK10,sK8)) = sK10
| ~ spl52_67 ),
inference(avatar_component_clause,[],[f925]) ).
fof(f2048,plain,
( cons(hd(cons(sK10,sK8)),tl(cons(sK10,sK8))) = cons(sK10,sK8)
| nil = cons(sK10,sK8)
| ~ spl52_171 ),
inference(resolution,[],[f274,f1963]) ).
fof(f2042,plain,
( spl52_182
| spl52_172
| ~ spl52_67
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f2037,f1962,f925,f1966,f2039]) ).
fof(f2039,plain,
( spl52_182
<=> sK36(cons(sK10,sK8)) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_182])]) ).
fof(f2037,plain,
( nil = cons(sK10,sK8)
| sK36(cons(sK10,sK8)) = sK10
| ~ spl52_67
| ~ spl52_171 ),
inference(forward_demodulation,[],[f2022,f927]) ).
fof(f2022,plain,
( sK36(cons(sK10,sK8)) = hd(cons(sK10,sK8))
| nil = cons(sK10,sK8)
| ~ spl52_171 ),
inference(resolution,[],[f360,f1963]) ).
fof(f360,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK36(X0) ),
inference(cnf_transformation,[],[f139]) ).
fof(f139,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| ? [X1] :
( ssItem(X1)
& hd(X0) = X1 ) ),
inference(flattening,[],[f138]) ).
fof(f138,plain,
! [X0] :
( ? [X1] :
( ssItem(X1)
& hd(X0) = X1 )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( ssItem(X1)
& hd(X0) = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f2018,plain,
( ~ spl52_171
| spl52_181
| spl52_174 ),
inference(avatar_split_clause,[],[f2013,f1974,f2015,f1962]) ).
fof(f2015,plain,
( spl52_181
<=> cons(sK10,sK8) = app(app(sK2(cons(sK10,sK8)),cons(sK0(cons(sK10,sK8)),sK3(cons(sK10,sK8)))),cons(sK1(cons(sK10,sK8)),sK4(cons(sK10,sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_181])]) ).
fof(f1974,plain,
( spl52_174
<=> totalorderedP(cons(sK10,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_174])]) ).
fof(f2013,plain,
( cons(sK10,sK8) = app(app(sK2(cons(sK10,sK8)),cons(sK0(cons(sK10,sK8)),sK3(cons(sK10,sK8)))),cons(sK1(cons(sK10,sK8)),sK4(cons(sK10,sK8))))
| ~ ssList(cons(sK10,sK8))
| spl52_174 ),
inference(resolution,[],[f1976,f225]) ).
fof(f225,plain,
! [X0] :
( totalorderedP(X0)
| app(app(sK2(X0),cons(sK0(X0),sK3(X0))),cons(sK1(X0),sK4(X0))) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f1976,plain,
( ~ totalorderedP(cons(sK10,sK8))
| spl52_174 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f2012,plain,
( spl52_180
| spl52_172
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f1985,f1962,f1966,f2009]) ).
fof(f2009,plain,
( spl52_180
<=> cons(sK10,sK8) = cons(sK51(cons(sK10,sK8)),sK50(cons(sK10,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_180])]) ).
fof(f1985,plain,
( nil = cons(sK10,sK8)
| cons(sK10,sK8) = cons(sK51(cons(sK10,sK8)),sK50(cons(sK10,sK8)))
| ~ spl52_171 ),
inference(resolution,[],[f1963,f414]) ).
fof(f2007,plain,
( spl52_179
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f1983,f1962,f2004]) ).
fof(f2004,plain,
( spl52_179
<=> app(nil,cons(sK10,sK8)) = cons(sK10,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_179])]) ).
fof(f1983,plain,
( app(nil,cons(sK10,sK8)) = cons(sK10,sK8)
| ~ spl52_171 ),
inference(resolution,[],[f1963,f291]) ).
fof(f291,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f2002,plain,
( spl52_178
| ~ spl52_25
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f1987,f1962,f621,f1999]) ).
fof(f1999,plain,
( spl52_178
<=> cons(sK10,sK8) = app(app(sK21(cons(sK10,sK8),nil),nil),sK22(cons(sK10,sK8),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_178])]) ).
fof(f1987,plain,
( cons(sK10,sK8) = app(app(sK21(cons(sK10,sK8),nil),nil),sK22(cons(sK10,sK8),nil))
| ~ spl52_25
| ~ spl52_171 ),
inference(resolution,[],[f1963,f622]) ).
fof(f1997,plain,
( spl52_177
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f1984,f1962,f1994]) ).
fof(f1994,plain,
( spl52_177
<=> cons(sK10,sK8) = app(cons(sK10,sK8),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_177])]) ).
fof(f1984,plain,
( cons(sK10,sK8) = app(cons(sK10,sK8),nil)
| ~ spl52_171 ),
inference(resolution,[],[f1963,f362]) ).
fof(f362,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f1992,plain,
( spl52_176
| ~ spl52_171 ),
inference(avatar_split_clause,[],[f1986,f1962,f1989]) ).
fof(f1989,plain,
( spl52_176
<=> cons(sK10,sK8) = app(app(sK21(cons(sK10,sK8),cons(sK10,sK8)),cons(sK10,sK8)),sK22(cons(sK10,sK8),cons(sK10,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_176])]) ).
fof(f1986,plain,
( cons(sK10,sK8) = app(app(sK21(cons(sK10,sK8),cons(sK10,sK8)),cons(sK10,sK8)),sK22(cons(sK10,sK8),cons(sK10,sK8)))
| ~ spl52_171 ),
inference(resolution,[],[f1963,f613]) ).
fof(f1982,plain,
( ~ spl52_8
| ~ spl52_18
| spl52_171 ),
inference(avatar_split_clause,[],[f1981,f1962,f553,f494]) ).
fof(f1981,plain,
( ~ ssItem(sK10)
| ~ ssList(sK8)
| spl52_171 ),
inference(resolution,[],[f1964,f350]) ).
fof(f350,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssList(X0)
| ~ ssItem(X1) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) ) ),
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(f1964,plain,
( ~ ssList(cons(sK10,sK8))
| spl52_171 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f1980,plain,
( ~ spl52_171
| spl52_172
| ~ spl52_174
| spl52_175
| ~ spl52_67 ),
inference(avatar_split_clause,[],[f1959,f925,f1978,f1974,f1966,f1962]) ).
fof(f1978,plain,
( spl52_175
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,cons(sK10,sK8)))
| ~ leq(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_175])]) ).
fof(f1959,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ leq(X0,sK10)
| ~ totalorderedP(cons(sK10,sK8))
| nil = cons(sK10,sK8)
| ~ ssList(cons(sK10,sK8))
| totalorderedP(cons(X0,cons(sK10,sK8))) )
| ~ spl52_67 ),
inference(superposition,[],[f317,f927]) ).
fof(f317,plain,
! [X0,X1] :
( ~ leq(X0,hd(X1))
| totalorderedP(cons(X0,X1))
| ~ totalorderedP(X1)
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1972,plain,
( ~ spl52_171
| spl52_172
| spl52_173
| ~ spl52_67 ),
inference(avatar_split_clause,[],[f1960,f925,f1970,f1966,f1962]) ).
fof(f1970,plain,
( spl52_173
<=> ! [X1] :
( ~ totalorderedP(cons(X1,cons(sK10,sK8)))
| leq(X1,sK10)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_173])]) ).
fof(f1960,plain,
( ! [X1] :
( ~ totalorderedP(cons(X1,cons(sK10,sK8)))
| ~ ssItem(X1)
| nil = cons(sK10,sK8)
| ~ ssList(cons(sK10,sK8))
| leq(X1,sK10) )
| ~ spl52_67 ),
inference(superposition,[],[f319,f927]) ).
fof(f319,plain,
! [X0,X1] :
( leq(X0,hd(X1))
| ~ ssList(X1)
| nil = X1
| ~ ssItem(X0)
| ~ totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
fof(f1926,plain,
( ~ spl52_1
| ~ spl52_18
| spl52_170
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1922,f1747,f1924,f553,f459]) ).
fof(f1924,plain,
( spl52_170
<=> ! [X8] :
( memberP(X8,sK10)
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_170])]) ).
fof(f1747,plain,
( spl52_153
<=> nil = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_153])]) ).
fof(f1922,plain,
( ! [X8] :
( memberP(X8,sK10)
| ~ ssItem(sK10)
| ~ ssList(nil)
| ~ ssList(X8) )
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1921,f362]) ).
fof(f1921,plain,
( ! [X8] :
( ~ ssList(nil)
| ~ ssList(X8)
| ~ ssItem(sK10)
| memberP(app(X8,nil),sK10) )
| ~ spl52_153 ),
inference(duplicate_literal_removal,[],[f1920]) ).
fof(f1920,plain,
( ! [X8] :
( ~ ssItem(sK10)
| ~ ssList(X8)
| ~ ssList(X8)
| ~ ssList(nil)
| memberP(app(X8,nil),sK10) )
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1902,f362]) ).
fof(f1902,plain,
( ! [X8] :
( ~ ssList(X8)
| ~ ssList(nil)
| ~ ssList(app(X8,nil))
| ~ ssItem(sK10)
| memberP(app(X8,nil),sK10) )
| ~ spl52_153 ),
inference(superposition,[],[f441,f1749]) ).
fof(f1749,plain,
( nil = cons(sK10,nil)
| ~ spl52_153 ),
inference(avatar_component_clause,[],[f1747]) ).
fof(f1919,plain,
( ~ spl52_18
| ~ spl52_1
| spl52_169
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1915,f1747,f1917,f459,f553]) ).
fof(f1917,plain,
( spl52_169
<=> ! [X4,X2,X3] :
( ~ ssList(X4)
| leq(sK10,X3)
| ~ ssList(app(X2,cons(X3,X4)))
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ totalorderedP(app(X2,cons(X3,X4))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_169])]) ).
fof(f1915,plain,
( ! [X2,X3,X4] :
( ~ ssList(X4)
| ~ totalorderedP(app(X2,cons(X3,X4)))
| ~ ssItem(X3)
| ~ ssList(nil)
| ~ ssList(X2)
| ~ ssList(app(X2,cons(X3,X4)))
| leq(sK10,X3)
| ~ ssItem(sK10) )
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1914,f362]) ).
fof(f1914,plain,
( ! [X2,X3,X4] :
( ~ ssList(X2)
| ~ ssList(X4)
| leq(sK10,X3)
| ~ ssList(app(X2,cons(X3,X4)))
| ~ totalorderedP(app(app(X2,nil),cons(X3,X4)))
| ~ ssList(nil)
| ~ ssItem(X3)
| ~ ssItem(sK10) )
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1900,f362]) ).
fof(f1900,plain,
( ! [X2,X3,X4] :
( ~ ssList(X4)
| ~ ssList(X2)
| ~ ssList(app(app(X2,nil),cons(X3,X4)))
| leq(sK10,X3)
| ~ ssItem(X3)
| ~ ssItem(sK10)
| ~ totalorderedP(app(app(X2,nil),cons(X3,X4)))
| ~ ssList(nil) )
| ~ spl52_153 ),
inference(superposition,[],[f426,f1749]) ).
fof(f1913,plain,
( ~ spl52_18
| ~ spl52_1
| spl52_168
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1901,f1747,f1911,f459,f553]) ).
fof(f1911,plain,
( spl52_168
<=> ! [X6,X5,X7] :
( ~ totalorderedP(app(app(X5,cons(X6,X7)),nil))
| ~ ssList(X7)
| leq(X6,sK10)
| ~ ssItem(X6)
| ~ ssList(X5)
| ~ ssList(app(app(X5,cons(X6,X7)),nil)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_168])]) ).
fof(f1901,plain,
( ! [X6,X7,X5] :
( ~ totalorderedP(app(app(X5,cons(X6,X7)),nil))
| ~ ssList(nil)
| ~ ssList(app(app(X5,cons(X6,X7)),nil))
| ~ ssList(X5)
| ~ ssItem(X6)
| ~ ssItem(sK10)
| leq(X6,sK10)
| ~ ssList(X7) )
| ~ spl52_153 ),
inference(superposition,[],[f426,f1749]) ).
fof(f1909,plain,
( ~ spl52_18
| ~ spl52_1
| spl52_97
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1903,f1747,f1161,f459,f553]) ).
fof(f1161,plain,
( spl52_97
<=> memberP(nil,sK10) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_97])]) ).
fof(f1903,plain,
( memberP(nil,sK10)
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ spl52_153 ),
inference(superposition,[],[f454,f1749]) ).
fof(f1908,plain,
( ~ spl52_1
| ~ spl52_18
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1905,f1747,f553,f459]) ).
fof(f1905,plain,
( ~ ssItem(sK10)
| ~ ssList(nil)
| ~ spl52_153 ),
inference(trivial_inequality_removal,[],[f1897]) ).
fof(f1897,plain,
( nil != nil
| ~ ssItem(sK10)
| ~ ssList(nil)
| ~ spl52_153 ),
inference(superposition,[],[f383,f1749]) ).
fof(f1907,plain,
( ~ spl52_18
| ~ spl52_1
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1906,f1747,f459,f553]) ).
fof(f1906,plain,
( ~ ssList(nil)
| ~ ssItem(sK10)
| ~ spl52_153 ),
inference(trivial_inequality_removal,[],[f1898]) ).
fof(f1898,plain,
( nil != nil
| ~ ssList(nil)
| ~ ssItem(sK10)
| ~ spl52_153 ),
inference(superposition,[],[f386,f1749]) ).
fof(f386,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ~ ssList(X0)
| ! [X1] :
( ~ ssItem(X1)
| nil != cons(X1,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(f1874,plain,
( ~ spl52_18
| spl52_167
| ~ spl52_18
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1870,f1747,f553,f1872,f553]) ).
fof(f1872,plain,
( spl52_167
<=> ! [X2,X1] :
( nil = X1
| ~ leq(sK10,X2)
| sK10 = X2
| ~ totalorderedP(cons(X2,X1))
| ~ ssItem(X2)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_167])]) ).
fof(f1870,plain,
( ! [X2,X1] :
( nil = X1
| ~ ssList(X1)
| sK10 = X2
| ~ ssItem(X2)
| ~ ssItem(sK10)
| ~ totalorderedP(cons(X2,X1))
| ~ leq(sK10,X2) )
| ~ spl52_18
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1869,f1832]) ).
fof(f1832,plain,
( ! [X6] :
( hd(X6) = sK10
| ~ ssList(X6) )
| ~ spl52_18
| ~ spl52_153 ),
inference(backward_subsumption_demodulation,[],[f879,f1830]) ).
fof(f1830,plain,
( ! [X6] :
( ~ ssList(X6)
| cons(sK10,X6) = X6 )
| ~ spl52_18
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1821,f291]) ).
fof(f1821,plain,
( ! [X6] :
( ~ ssList(X6)
| cons(sK10,X6) = app(nil,X6) )
| ~ spl52_18
| ~ spl52_153 ),
inference(backward_demodulation,[],[f1376,f1749]) ).
fof(f1869,plain,
( ! [X2,X1] :
( hd(X1) = X2
| ~ leq(sK10,X2)
| nil = X1
| ~ ssList(X1)
| ~ totalorderedP(cons(X2,X1))
| ~ ssItem(sK10)
| ~ ssItem(X2) )
| ~ spl52_18
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1848,f1832]) ).
fof(f1848,plain,
( ! [X2,X1] :
( ~ ssItem(sK10)
| nil = X1
| ~ ssItem(X2)
| ~ leq(hd(X1),X2)
| ~ totalorderedP(cons(X2,X1))
| hd(X1) = X2
| ~ ssList(X1) )
| ~ spl52_18
| ~ spl52_153 ),
inference(backward_subsumption_demodulation,[],[f1383,f1832]) ).
fof(f1383,plain,
! [X2,X1] :
( ~ ssList(X1)
| ~ ssItem(hd(X1))
| ~ leq(hd(X1),X2)
| nil = X1
| hd(X1) = X2
| ~ totalorderedP(cons(X2,X1))
| ~ ssItem(X2) ),
inference(duplicate_literal_removal,[],[f1382]) ).
fof(f1382,plain,
! [X2,X1] :
( ~ ssItem(X2)
| ~ totalorderedP(cons(X2,X1))
| ~ leq(hd(X1),X2)
| ~ ssItem(X2)
| hd(X1) = X2
| ~ ssList(X1)
| nil = X1
| ~ ssItem(hd(X1)) ),
inference(resolution,[],[f375,f319]) ).
fof(f375,plain,
! [X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0)
| X0 = X1 ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ leq(X1,X0) ) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X0,X1)
& leq(X1,X0) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f1868,plain,
( spl52_166
| ~ spl52_18
| ~ spl52_18
| ~ spl52_153 ),
inference(avatar_split_clause,[],[f1864,f1747,f553,f553,f1866]) ).
fof(f1866,plain,
( spl52_166
<=> ! [X2,X4,X3] :
( ~ ssItem(X3)
| ~ totalorderedP(cons(X4,X2))
| ~ leq(sK10,X3)
| ~ ssItem(X4)
| leq(X4,X3)
| ~ ssList(X2)
| nil = X2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_166])]) ).
fof(f1864,plain,
( ! [X2,X3,X4] :
( ~ ssItem(sK10)
| ~ ssItem(X3)
| ~ ssList(X2)
| ~ ssItem(X4)
| nil = X2
| ~ leq(sK10,X3)
| leq(X4,X3)
| ~ totalorderedP(cons(X4,X2)) )
| ~ spl52_18
| ~ spl52_153 ),
inference(forward_subsumption_demodulation,[],[f1863,f1832]) ).
fof(f1863,plain,
( ! [X2,X3,X4] :
( nil = X2
| ~ ssList(X2)
| leq(X4,X3)
| ~ ssItem(X4)
| ~ leq(sK10,X3)
| ~ ssItem(hd(X2))
| ~ ssItem(X3)
| ~ totalorderedP(cons(X4,X2)) )
| ~ spl52_18
| ~ spl52_153 ),
inference(backward_subsumption_demodulation,[],[f1616,f1832]) ).
fof(f1616,plain,
! [X2,X3,X4] :
( ~ ssItem(X4)
| ~ totalorderedP(cons(X4,X2))
| ~ leq(hd(X2),X3)
| ~ ssItem(X3)
| nil = X2
| ~ ssList(X2)
| leq(X4,X3)
| ~ ssItem(hd(X2)) ),
inference(duplicate_literal_removal,[],[f1614]) ).
fof(f1614,plain,
! [X2,X3,X4] :
( ~ leq(hd(X2),X3)
| ~ totalorderedP(cons(X4,X2))
| nil = X2
| ~ ssItem(X3)
| ~ ssItem(hd(X2))
| leq(X4,X3)
| ~ ssList(X2)
| ~ ssItem(X4)
| ~ ssItem(X4) ),
inference(resolution,[],[f329,f319]) ).
fof(f329,plain,
! [X2,X0,X1] :
( ~ leq(X0,X1)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X0,X2)
| ~ ssItem(X2) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ~ ssItem(X0)
| ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ ssItem(X2)
| ~ leq(X0,X1) )
| ~ ssItem(X1) ) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X0,X1)
| ~ leq(X1,X2)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X0,X1)
& leq(X1,X2) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f1818,plain,
( spl52_165
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1771,f1751,f1815]) ).
fof(f1815,plain,
( spl52_165
<=> app(cons(sK10,nil),nil) = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_165])]) ).
fof(f1771,plain,
( app(cons(sK10,nil),nil) = cons(sK10,nil)
| ~ spl52_154 ),
inference(resolution,[],[f1752,f362]) ).
fof(f1813,plain,
( spl52_164
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1774,f1751,f1810]) ).
fof(f1810,plain,
( spl52_164
<=> app(app(sK21(cons(sK10,nil),cons(sK10,nil)),cons(sK10,nil)),sK22(cons(sK10,nil),cons(sK10,nil))) = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_164])]) ).
fof(f1774,plain,
( app(app(sK21(cons(sK10,nil),cons(sK10,nil)),cons(sK10,nil)),sK22(cons(sK10,nil),cons(sK10,nil))) = cons(sK10,nil)
| ~ spl52_154 ),
inference(resolution,[],[f1752,f613]) ).
fof(f1808,plain,
( spl52_163
| spl52_153
| ~ spl52_66
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1803,f1751,f920,f1747,f1805]) ).
fof(f1805,plain,
( spl52_163
<=> cons(sK10,tl(cons(sK10,nil))) = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_163])]) ).
fof(f920,plain,
( spl52_66
<=> sK10 = hd(cons(sK10,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_66])]) ).
fof(f1803,plain,
( nil = cons(sK10,nil)
| cons(sK10,tl(cons(sK10,nil))) = cons(sK10,nil)
| ~ spl52_66
| ~ spl52_154 ),
inference(forward_demodulation,[],[f1768,f922]) ).
fof(f922,plain,
( sK10 = hd(cons(sK10,nil))
| ~ spl52_66 ),
inference(avatar_component_clause,[],[f920]) ).
fof(f1768,plain,
( cons(hd(cons(sK10,nil)),tl(cons(sK10,nil))) = cons(sK10,nil)
| nil = cons(sK10,nil)
| ~ spl52_154 ),
inference(resolution,[],[f1752,f274]) ).
fof(f1802,plain,
( spl52_153
| spl52_162
| ~ spl52_66
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1797,f1751,f920,f1799,f1747]) ).
fof(f1799,plain,
( spl52_162
<=> sK10 = sK36(cons(sK10,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_162])]) ).
fof(f1797,plain,
( sK10 = sK36(cons(sK10,nil))
| nil = cons(sK10,nil)
| ~ spl52_66
| ~ spl52_154 ),
inference(forward_demodulation,[],[f1770,f922]) ).
fof(f1770,plain,
( nil = cons(sK10,nil)
| hd(cons(sK10,nil)) = sK36(cons(sK10,nil))
| ~ spl52_154 ),
inference(resolution,[],[f1752,f360]) ).
fof(f1796,plain,
( spl52_161
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1769,f1751,f1793]) ).
fof(f1793,plain,
( spl52_161
<=> app(nil,cons(sK10,nil)) = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_161])]) ).
fof(f1769,plain,
( app(nil,cons(sK10,nil)) = cons(sK10,nil)
| ~ spl52_154 ),
inference(resolution,[],[f1752,f291]) ).
fof(f1791,plain,
( spl52_160
| ~ spl52_18
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1776,f1751,f553,f1788]) ).
fof(f1788,plain,
( spl52_160
<=> sK10 = hd(cons(sK10,cons(sK10,nil))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_160])]) ).
fof(f1776,plain,
( sK10 = hd(cons(sK10,cons(sK10,nil)))
| ~ spl52_18
| ~ spl52_154 ),
inference(resolution,[],[f1752,f879]) ).
fof(f1786,plain,
( spl52_159
| spl52_153
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1773,f1751,f1747,f1783]) ).
fof(f1783,plain,
( spl52_159
<=> cons(sK51(cons(sK10,nil)),sK50(cons(sK10,nil))) = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_159])]) ).
fof(f1773,plain,
( nil = cons(sK10,nil)
| cons(sK51(cons(sK10,nil)),sK50(cons(sK10,nil))) = cons(sK10,nil)
| ~ spl52_154 ),
inference(resolution,[],[f1752,f414]) ).
fof(f1781,plain,
( spl52_158
| ~ spl52_25
| ~ spl52_154 ),
inference(avatar_split_clause,[],[f1775,f1751,f621,f1778]) ).
fof(f1778,plain,
( spl52_158
<=> app(app(sK21(cons(sK10,nil),nil),nil),sK22(cons(sK10,nil),nil)) = cons(sK10,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_158])]) ).
fof(f1775,plain,
( app(app(sK21(cons(sK10,nil),nil),nil),sK22(cons(sK10,nil),nil)) = cons(sK10,nil)
| ~ spl52_25
| ~ spl52_154 ),
inference(resolution,[],[f1752,f622]) ).
fof(f1767,plain,
( ~ spl52_18
| ~ spl52_1
| spl52_154 ),
inference(avatar_split_clause,[],[f1766,f1751,f459,f553]) ).
fof(f1766,plain,
( ~ ssList(nil)
| ~ ssItem(sK10)
| spl52_154 ),
inference(resolution,[],[f1753,f350]) ).
fof(f1753,plain,
( ~ ssList(cons(sK10,nil))
| spl52_154 ),
inference(avatar_component_clause,[],[f1751]) ).
fof(f1765,plain,
( ~ spl52_154
| ~ spl52_156
| spl52_153
| spl52_157
| ~ spl52_66 ),
inference(avatar_split_clause,[],[f1744,f920,f1763,f1747,f1759,f1751]) ).
fof(f1759,plain,
( spl52_156
<=> totalorderedP(cons(sK10,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_156])]) ).
fof(f1763,plain,
( spl52_157
<=> ! [X0] :
( totalorderedP(cons(X0,cons(sK10,nil)))
| ~ leq(X0,sK10)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_157])]) ).
fof(f1744,plain,
( ! [X0] :
( totalorderedP(cons(X0,cons(sK10,nil)))
| nil = cons(sK10,nil)
| ~ ssItem(X0)
| ~ totalorderedP(cons(sK10,nil))
| ~ ssList(cons(sK10,nil))
| ~ leq(X0,sK10) )
| ~ spl52_66 ),
inference(superposition,[],[f317,f922]) ).
fof(f1757,plain,
( spl52_153
| ~ spl52_154
| spl52_155
| ~ spl52_66 ),
inference(avatar_split_clause,[],[f1745,f920,f1755,f1751,f1747]) ).
fof(f1755,plain,
( spl52_155
<=> ! [X1] :
( ~ totalorderedP(cons(X1,cons(sK10,nil)))
| leq(X1,sK10)
| ~ ssItem(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_155])]) ).
fof(f1745,plain,
( ! [X1] :
( ~ totalorderedP(cons(X1,cons(sK10,nil)))
| ~ ssList(cons(sK10,nil))
| ~ ssItem(X1)
| nil = cons(sK10,nil)
| leq(X1,sK10) )
| ~ spl52_66 ),
inference(superposition,[],[f319,f922]) ).
fof(f1742,plain,
( ~ spl52_15
| spl52_152
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1726,f536,f1740,f536]) ).
fof(f1740,plain,
( spl52_152
<=> ! [X6,X5] :
( app(X5,X6) = app(sK34(app(X5,X6),sK49),cons(sK49,sK35(app(X5,X6),sK49)))
| ~ ssList(app(X5,X6))
| ~ memberP(X6,sK49)
| ~ ssList(X5)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_152])]) ).
fof(f536,plain,
( spl52_15
<=> ssItem(sK49) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_15])]) ).
fof(f1726,plain,
( ! [X6,X5] :
( app(X5,X6) = app(sK34(app(X5,X6),sK49),cons(sK49,sK35(app(X5,X6),sK49)))
| ~ ssItem(sK49)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ memberP(X6,sK49)
| ~ ssList(app(X5,X6)) )
| ~ spl52_15 ),
inference(resolution,[],[f628,f238]) ).
fof(f628,plain,
( ! [X6] :
( ~ memberP(X6,sK49)
| app(sK34(X6,sK49),cons(sK49,sK35(X6,sK49))) = X6
| ~ ssList(X6) )
| ~ spl52_15 ),
inference(resolution,[],[f356,f538]) ).
fof(f538,plain,
( ssItem(sK49)
| ~ spl52_15 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f356,plain,
! [X0,X1] :
( ~ ssItem(X1)
| ~ memberP(X0,X1)
| app(sK34(X0,X1),cons(X1,sK35(X0,X1))) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f124]) ).
fof(f1738,plain,
( ~ spl52_15
| spl52_151
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1724,f536,f1736,f536]) ).
fof(f1736,plain,
( spl52_151
<=> ! [X2,X1] :
( cons(X1,X2) = app(sK34(cons(X1,X2),sK49),cons(sK49,sK35(cons(X1,X2),sK49)))
| ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,sK49)
| ~ ssList(cons(X1,X2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_151])]) ).
fof(f1724,plain,
( ! [X2,X1] :
( cons(X1,X2) = app(sK34(cons(X1,X2),sK49),cons(sK49,sK35(cons(X1,X2),sK49)))
| ~ ssList(cons(X1,X2))
| ~ memberP(X2,sK49)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(sK49) )
| ~ spl52_15 ),
inference(resolution,[],[f628,f379]) ).
fof(f1734,plain,
( ~ spl52_15
| spl52_150
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1725,f536,f1732,f536]) ).
fof(f1732,plain,
( spl52_150
<=> ! [X4,X3] :
( ~ ssList(X3)
| ~ memberP(X3,sK49)
| ~ ssList(app(X3,X4))
| app(X3,X4) = app(sK34(app(X3,X4),sK49),cons(sK49,sK35(app(X3,X4),sK49)))
| ~ ssList(X4) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_150])]) ).
fof(f1725,plain,
( ! [X3,X4] :
( ~ ssList(X3)
| ~ ssList(X4)
| app(X3,X4) = app(sK34(app(X3,X4),sK49),cons(sK49,sK35(app(X3,X4),sK49)))
| ~ ssList(app(X3,X4))
| ~ ssItem(sK49)
| ~ memberP(X3,sK49) )
| ~ spl52_15 ),
inference(resolution,[],[f628,f239]) ).
fof(f1730,plain,
( ~ spl52_15
| spl52_149
| ~ spl52_15 ),
inference(avatar_split_clause,[],[f1723,f536,f1728,f536]) ).
fof(f1728,plain,
( spl52_149
<=> ! [X0] :
( cons(sK49,X0) = app(sK34(cons(sK49,X0),sK49),cons(sK49,sK35(cons(sK49,X0),sK49)))
| ~ ssList(cons(sK49,X0))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_149])]) ).
fof(f1723,plain,
( ! [X0] :
( cons(sK49,X0) = app(sK34(cons(sK49,X0),sK49),cons(sK49,sK35(cons(sK49,X0),sK49)))
| ~ ssList(X0)
| ~ ssItem(sK49)
| ~ ssList(cons(sK49,X0)) )
| ~ spl52_15 ),
inference(resolution,[],[f628,f454]) ).
fof(f1722,plain,
( ~ spl52_5
| spl52_148
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f1703,f478,f1720,f478]) ).
fof(f1720,plain,
( spl52_148
<=> ! [X0] :
( ~ ssList(cons(sK48,X0))
| cons(sK48,X0) = app(sK34(cons(sK48,X0),sK48),cons(sK48,sK35(cons(sK48,X0),sK48)))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_148])]) ).
fof(f478,plain,
( spl52_5
<=> ssItem(sK48) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_5])]) ).
fof(f1703,plain,
( ! [X0] :
( ~ ssList(cons(sK48,X0))
| ~ ssItem(sK48)
| ~ ssList(X0)
| cons(sK48,X0) = app(sK34(cons(sK48,X0),sK48),cons(sK48,sK35(cons(sK48,X0),sK48))) )
| ~ spl52_5 ),
inference(resolution,[],[f627,f454]) ).
fof(f627,plain,
( ! [X5] :
( ~ memberP(X5,sK48)
| ~ ssList(X5)
| app(sK34(X5,sK48),cons(sK48,sK35(X5,sK48))) = X5 )
| ~ spl52_5 ),
inference(resolution,[],[f356,f480]) ).
fof(f480,plain,
( ssItem(sK48)
| ~ spl52_5 ),
inference(avatar_component_clause,[],[f478]) ).
fof(f1718,plain,
( ~ spl52_5
| spl52_147
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f1704,f478,f1716,f478]) ).
fof(f1716,plain,
( spl52_147
<=> ! [X2,X1] :
( ~ ssList(cons(X1,X2))
| ~ memberP(X2,sK48)
| cons(X1,X2) = app(sK34(cons(X1,X2),sK48),cons(sK48,sK35(cons(X1,X2),sK48)))
| ~ ssItem(X1)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_147])]) ).
fof(f1704,plain,
( ! [X2,X1] :
( ~ ssList(cons(X1,X2))
| ~ ssList(X2)
| ~ ssItem(X1)
| cons(X1,X2) = app(sK34(cons(X1,X2),sK48),cons(sK48,sK35(cons(X1,X2),sK48)))
| ~ ssItem(sK48)
| ~ memberP(X2,sK48) )
| ~ spl52_5 ),
inference(resolution,[],[f627,f379]) ).
fof(f1714,plain,
( ~ spl52_5
| spl52_146
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f1706,f478,f1712,f478]) ).
fof(f1712,plain,
( spl52_146
<=> ! [X6,X5] :
( ~ ssList(X5)
| ~ memberP(X6,sK48)
| ~ ssList(app(X5,X6))
| ~ ssList(X6)
| app(sK34(app(X5,X6),sK48),cons(sK48,sK35(app(X5,X6),sK48))) = app(X5,X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_146])]) ).
fof(f1706,plain,
( ! [X6,X5] :
( ~ ssList(X5)
| app(sK34(app(X5,X6),sK48),cons(sK48,sK35(app(X5,X6),sK48))) = app(X5,X6)
| ~ ssList(X6)
| ~ ssList(app(X5,X6))
| ~ memberP(X6,sK48)
| ~ ssItem(sK48) )
| ~ spl52_5 ),
inference(resolution,[],[f627,f238]) ).
fof(f1710,plain,
( ~ spl52_5
| spl52_145
| ~ spl52_5 ),
inference(avatar_split_clause,[],[f1705,f478,f1708,f478]) ).
fof(f1708,plain,
( spl52_145
<=> ! [X4,X3] :
( app(sK34(app(X3,X4),sK48),cons(sK48,sK35(app(X3,X4),sK48))) = app(X3,X4)
| ~ ssList(X3)
| ~ memberP(X3,sK48)
| ~ ssList(X4)
| ~ ssList(app(X3,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_145])]) ).
fof(f1705,plain,
( ! [X3,X4] :
( app(sK34(app(X3,X4),sK48),cons(sK48,sK35(app(X3,X4),sK48))) = app(X3,X4)
| ~ ssList(app(X3,X4))
| ~ ssList(X4)
| ~ memberP(X3,sK48)
| ~ ssList(X3)
| ~ ssItem(sK48) )
| ~ spl52_5 ),
inference(resolution,[],[f627,f239]) ).
fof(f1698,plain,
( ~ spl52_26
| spl52_144
| ~ spl52_8
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1672,f1241,f494,f1690,f633]) ).
fof(f1690,plain,
( spl52_144
<=> ! [X5] :
( ~ ssList(X5)
| sK22(sK7,sK8) = X5
| app(sK8,X5) != sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_144])]) ).
fof(f1672,plain,
( ! [X5] :
( ~ ssList(sK8)
| sK22(sK7,sK8) = X5
| app(sK8,X5) != sK7
| ~ ssList(X5)
| ~ ssList(sK22(sK7,sK8)) )
| ~ spl52_103 ),
inference(superposition,[],[f303,f1243]) ).
fof(f1695,plain,
( ~ spl52_8
| spl52_143
| ~ spl52_1
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f1676,f763,f459,f1686,f494]) ).
fof(f1686,plain,
( spl52_143
<=> ! [X3] :
( nil = X3
| sK8 != app(sK8,X3)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_143])]) ).
fof(f763,plain,
( spl52_47
<=> app(sK8,nil) = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_47])]) ).
fof(f1676,plain,
( ! [X3] :
( ~ ssList(nil)
| nil = X3
| ~ ssList(sK8)
| ~ ssList(X3)
| sK8 != app(sK8,X3) )
| ~ spl52_47 ),
inference(superposition,[],[f303,f765]) ).
fof(f765,plain,
( app(sK8,nil) = sK8
| ~ spl52_47 ),
inference(avatar_component_clause,[],[f763]) ).
fof(f1693,plain,
( ~ spl52_1
| ~ spl52_11
| spl52_142
| ~ spl52_48 ),
inference(avatar_split_clause,[],[f1675,f768,f1682,f509,f459]) ).
fof(f1682,plain,
( spl52_142
<=> ! [X2] :
( nil = X2
| ~ ssList(X2)
| sK7 != app(sK7,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_142])]) ).
fof(f768,plain,
( spl52_48
<=> app(sK7,nil) = sK7 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_48])]) ).
fof(f1675,plain,
( ! [X2] :
( sK7 != app(sK7,X2)
| ~ ssList(X2)
| ~ ssList(sK7)
| nil = X2
| ~ ssList(nil) )
| ~ spl52_48 ),
inference(superposition,[],[f303,f770]) ).
fof(f770,plain,
( app(sK7,nil) = sK7
| ~ spl52_48 ),
inference(avatar_component_clause,[],[f768]) ).
fof(f1692,plain,
( spl52_144
| ~ spl52_26
| ~ spl52_8
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1678,f1241,f494,f633,f1690]) ).
fof(f1678,plain,
( ! [X5] :
( ~ ssList(sK8)
| ~ ssList(sK22(sK7,sK8))
| ~ ssList(X5)
| app(sK8,X5) != sK7
| sK22(sK7,sK8) = X5 )
| ~ spl52_103 ),
inference(superposition,[],[f303,f1243]) ).
fof(f1688,plain,
( spl52_143
| ~ spl52_8
| ~ spl52_1
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f1670,f763,f459,f494,f1686]) ).
fof(f1670,plain,
( ! [X3] :
( ~ ssList(nil)
| ~ ssList(sK8)
| nil = X3
| ~ ssList(X3)
| sK8 != app(sK8,X3) )
| ~ spl52_47 ),
inference(superposition,[],[f303,f765]) ).
fof(f1684,plain,
( ~ spl52_1
| ~ spl52_11
| spl52_142
| ~ spl52_48 ),
inference(avatar_split_clause,[],[f1669,f768,f1682,f509,f459]) ).
fof(f1669,plain,
( ! [X2] :
( nil = X2
| ~ ssList(sK7)
| sK7 != app(sK7,X2)
| ~ ssList(X2)
| ~ ssList(nil) )
| ~ spl52_48 ),
inference(superposition,[],[f303,f770]) ).
fof(f1666,plain,
( ~ spl52_1
| ~ spl52_11
| spl52_140
| ~ spl52_44 ),
inference(avatar_split_clause,[],[f1635,f737,f1654,f509,f459]) ).
fof(f1654,plain,
( spl52_140
<=> ! [X1] :
( nil = X1
| ~ ssList(X1)
| app(X1,sK7) != sK7 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_140])]) ).
fof(f1635,plain,
( ! [X1] :
( app(X1,sK7) != sK7
| ~ ssList(X1)
| ~ ssList(sK7)
| ~ ssList(nil)
| nil = X1 )
| ~ spl52_44 ),
inference(superposition,[],[f233,f739]) ).
fof(f1665,plain,
( ~ spl52_8
| ~ spl52_26
| spl52_141
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1639,f1241,f1658,f633,f494]) ).
fof(f1658,plain,
( spl52_141
<=> ! [X5] :
( ~ ssList(X5)
| app(X5,sK22(sK7,sK8)) != sK7
| sK8 = X5 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_141])]) ).
fof(f1639,plain,
( ! [X5] :
( ~ ssList(X5)
| ~ ssList(sK22(sK7,sK8))
| app(X5,sK22(sK7,sK8)) != sK7
| sK8 = X5
| ~ ssList(sK8) )
| ~ spl52_103 ),
inference(superposition,[],[f233,f1243]) ).
fof(f1661,plain,
( ~ spl52_1
| ~ spl52_8
| spl52_139
| ~ spl52_45 ),
inference(avatar_split_clause,[],[f1640,f742,f1649,f494,f459]) ).
fof(f1649,plain,
( spl52_139
<=> ! [X0] :
( nil = X0
| ~ ssList(X0)
| app(X0,sK8) != sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_139])]) ).
fof(f1640,plain,
( ! [X0] :
( app(X0,sK8) != sK8
| ~ ssList(sK8)
| ~ ssList(X0)
| ~ ssList(nil)
| nil = X0 )
| ~ spl52_45 ),
inference(superposition,[],[f233,f744]) ).
fof(f1660,plain,
( ~ spl52_26
| ~ spl52_8
| spl52_141
| ~ spl52_103 ),
inference(avatar_split_clause,[],[f1645,f1241,f1658,f494,f633]) ).
fof(f1645,plain,
( ! [X5] :
( ~ ssList(X5)
| ~ ssList(sK8)
| sK8 = X5
| ~ ssList(sK22(sK7,sK8))
| app(X5,sK22(sK7,sK8)) != sK7 )
| ~ spl52_103 ),
inference(superposition,[],[f233,f1243]) ).
fof(f1656,plain,
( ~ spl52_1
| spl52_140
| ~ spl52_11
| ~ spl52_44 ),
inference(avatar_split_clause,[],[f1641,f737,f509,f1654,f459]) ).
fof(f1641,plain,
( ! [X1] :
( ~ ssList(sK7)
| nil = X1
| app(X1,sK7) != sK7
| ~ ssList(X1)
| ~ ssList(nil) )
| ~ spl52_44 ),
inference(superposition,[],[f233,f739]) ).
fof(f1651,plain,
( ~ spl52_1
| ~ spl52_8
| spl52_139
| ~ spl52_45 ),
inference(avatar_split_clause,[],[f1634,f742,f1649,f494,f459]) ).
fof(f1634,plain,
( ! [X0] :
( nil = X0
| app(X0,sK8) != sK8
| ~ ssList(X0)
| ~ ssList(sK8)
| ~ ssList(nil) )
| ~ spl52_45 ),
inference(superposition,[],[f233,f744]) ).
fof(f1633,plain,
( spl52_138
| spl52_75
| ~ spl52_18
| ~ spl52_11
| ~ spl52_116 ),
inference(avatar_split_clause,[],[f1628,f1432,f509,f553,f977,f1630]) ).
fof(f1432,plain,
( spl52_116
<=> totalorderedP(cons(sK10,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_116])]) ).
fof(f1628,plain,
( ~ ssList(sK7)
| ~ ssItem(sK10)
| nil = sK7
| totalorderedP(sK7)
| ~ spl52_116 ),
inference(resolution,[],[f1433,f318]) ).
fof(f1433,plain,
( totalorderedP(cons(sK10,sK7))
| ~ spl52_116 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1608,plain,
( ~ spl52_137
| ~ spl52_117
| spl52_128 ),
inference(avatar_split_clause,[],[f1603,f1551,f1436,f1605]) ).
fof(f1605,plain,
( spl52_137
<=> nil = cons(sK10,tl(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_137])]) ).
fof(f1436,plain,
( spl52_117
<=> nil = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_117])]) ).
fof(f1551,plain,
( spl52_128
<=> cons(sK10,tl(cons(sK10,sK7))) = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_128])]) ).
fof(f1603,plain,
( nil != cons(sK10,tl(nil))
| ~ spl52_117
| spl52_128 ),
inference(forward_demodulation,[],[f1552,f1438]) ).
fof(f1438,plain,
( nil = cons(sK10,sK7)
| ~ spl52_117 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1552,plain,
( cons(sK10,tl(cons(sK10,sK7))) != cons(sK10,sK7)
| spl52_128 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1602,plain,
( ~ spl52_136
| ~ spl52_117
| spl52_132 ),
inference(avatar_split_clause,[],[f1597,f1572,f1436,f1599]) ).
fof(f1599,plain,
( spl52_136
<=> sK36(nil) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_136])]) ).
fof(f1572,plain,
( spl52_132
<=> sK10 = sK36(cons(sK10,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_132])]) ).
fof(f1597,plain,
( sK36(nil) != sK10
| ~ spl52_117
| spl52_132 ),
inference(forward_demodulation,[],[f1573,f1438]) ).
fof(f1573,plain,
( sK10 != sK36(cons(sK10,sK7))
| spl52_132 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1595,plain,
( ~ spl52_135
| ~ spl52_117
| spl52_127 ),
inference(avatar_split_clause,[],[f1590,f1545,f1436,f1592]) ).
fof(f1592,plain,
( spl52_135
<=> nil = cons(sK51(nil),sK50(nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_135])]) ).
fof(f1545,plain,
( spl52_127
<=> cons(sK51(cons(sK10,sK7)),sK50(cons(sK10,sK7))) = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_127])]) ).
fof(f1590,plain,
( nil != cons(sK51(nil),sK50(nil))
| ~ spl52_117
| spl52_127 ),
inference(forward_demodulation,[],[f1546,f1438]) ).
fof(f1546,plain,
( cons(sK51(cons(sK10,sK7)),sK50(cons(sK10,sK7))) != cons(sK10,sK7)
| spl52_127 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1588,plain,
( spl52_134
| ~ spl52_62
| ~ spl52_117 ),
inference(avatar_split_clause,[],[f1583,f1436,f900,f1585]) ).
fof(f1585,plain,
( spl52_134
<=> hd(nil) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_134])]) ).
fof(f900,plain,
( spl52_62
<=> sK10 = hd(cons(sK10,sK7)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_62])]) ).
fof(f1583,plain,
( hd(nil) = sK10
| ~ spl52_62
| ~ spl52_117 ),
inference(backward_demodulation,[],[f902,f1438]) ).
fof(f902,plain,
( sK10 = hd(cons(sK10,sK7))
| ~ spl52_62 ),
inference(avatar_component_clause,[],[f900]) ).
fof(f1580,plain,
( spl52_133
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1536,f1425,f1577]) ).
fof(f1577,plain,
( spl52_133
<=> app(app(sK21(cons(sK10,sK7),cons(sK10,sK7)),cons(sK10,sK7)),sK22(cons(sK10,sK7),cons(sK10,sK7))) = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_133])]) ).
fof(f1536,plain,
( app(app(sK21(cons(sK10,sK7),cons(sK10,sK7)),cons(sK10,sK7)),sK22(cons(sK10,sK7),cons(sK10,sK7))) = cons(sK10,sK7)
| ~ spl52_114 ),
inference(resolution,[],[f1426,f613]) ).
fof(f1575,plain,
( spl52_117
| spl52_132
| ~ spl52_62
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1570,f1425,f900,f1572,f1436]) ).
fof(f1570,plain,
( sK10 = sK36(cons(sK10,sK7))
| nil = cons(sK10,sK7)
| ~ spl52_62
| ~ spl52_114 ),
inference(forward_demodulation,[],[f1532,f902]) ).
fof(f1532,plain,
( nil = cons(sK10,sK7)
| hd(cons(sK10,sK7)) = sK36(cons(sK10,sK7))
| ~ spl52_114 ),
inference(resolution,[],[f1426,f360]) ).
fof(f1569,plain,
( spl52_131
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1533,f1425,f1566]) ).
fof(f1566,plain,
( spl52_131
<=> app(cons(sK10,sK7),nil) = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_131])]) ).
fof(f1533,plain,
( app(cons(sK10,sK7),nil) = cons(sK10,sK7)
| ~ spl52_114 ),
inference(resolution,[],[f1426,f362]) ).
fof(f1564,plain,
( spl52_130
| ~ spl52_18
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1538,f1425,f553,f1561]) ).
fof(f1561,plain,
( spl52_130
<=> hd(cons(sK10,cons(sK10,sK7))) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_130])]) ).
fof(f1538,plain,
( hd(cons(sK10,cons(sK10,sK7))) = sK10
| ~ spl52_18
| ~ spl52_114 ),
inference(resolution,[],[f1426,f879]) ).
fof(f1559,plain,
( spl52_129
| ~ spl52_25
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1537,f1425,f621,f1556]) ).
fof(f1556,plain,
( spl52_129
<=> cons(sK10,sK7) = app(app(sK21(cons(sK10,sK7),nil),nil),sK22(cons(sK10,sK7),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_129])]) ).
fof(f1537,plain,
( cons(sK10,sK7) = app(app(sK21(cons(sK10,sK7),nil),nil),sK22(cons(sK10,sK7),nil))
| ~ spl52_25
| ~ spl52_114 ),
inference(resolution,[],[f1426,f622]) ).
fof(f1554,plain,
( spl52_117
| spl52_128
| ~ spl52_62
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1549,f1425,f900,f1551,f1436]) ).
fof(f1549,plain,
( cons(sK10,tl(cons(sK10,sK7))) = cons(sK10,sK7)
| nil = cons(sK10,sK7)
| ~ spl52_62
| ~ spl52_114 ),
inference(forward_demodulation,[],[f1530,f902]) ).
fof(f1530,plain,
( nil = cons(sK10,sK7)
| cons(hd(cons(sK10,sK7)),tl(cons(sK10,sK7))) = cons(sK10,sK7)
| ~ spl52_114 ),
inference(resolution,[],[f1426,f274]) ).
fof(f1548,plain,
( spl52_117
| spl52_127
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1535,f1425,f1545,f1436]) ).
fof(f1535,plain,
( cons(sK51(cons(sK10,sK7)),sK50(cons(sK10,sK7))) = cons(sK10,sK7)
| nil = cons(sK10,sK7)
| ~ spl52_114 ),
inference(resolution,[],[f1426,f414]) ).
fof(f1543,plain,
( spl52_126
| ~ spl52_114 ),
inference(avatar_split_clause,[],[f1531,f1425,f1540]) ).
fof(f1540,plain,
( spl52_126
<=> app(nil,cons(sK10,sK7)) = cons(sK10,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_126])]) ).
fof(f1531,plain,
( app(nil,cons(sK10,sK7)) = cons(sK10,sK7)
| ~ spl52_114 ),
inference(resolution,[],[f1426,f291]) ).
fof(f1529,plain,
( ~ spl52_18
| ~ spl52_11
| spl52_114 ),
inference(avatar_split_clause,[],[f1528,f1425,f509,f553]) ).
fof(f1528,plain,
( ~ ssList(sK7)
| ~ ssItem(sK10)
| spl52_114 ),
inference(resolution,[],[f1427,f350]) ).
fof(f1427,plain,
( ~ ssList(cons(sK10,sK7))
| spl52_114 ),
inference(avatar_component_clause,[],[f1425]) ).
fof(f1503,plain,
( ~ spl52_1
| ~ spl52_8
| spl52_125
| ~ spl52_45 ),
inference(avatar_split_clause,[],[f1478,f742,f1501,f494,f459]) ).
fof(f1501,plain,
( spl52_125
<=> ! [X0] :
( segmentP(app(X0,sK8),nil)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_125])]) ).
fof(f1478,plain,
( ! [X0] :
( segmentP(app(X0,sK8),nil)
| ~ ssList(X0)
| ~ ssList(sK8)
| ~ ssList(nil) )
| ~ spl52_45 ),
inference(superposition,[],[f656,f744]) ).
fof(f1499,plain,
( spl52_124
| ~ spl52_1
| ~ spl52_11
| ~ spl52_48 ),
inference(avatar_split_clause,[],[f1480,f768,f509,f459,f1497]) ).
fof(f1497,plain,
( spl52_124
<=> ! [X2] :
( ~ ssList(X2)
| segmentP(app(X2,sK7),sK7) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_124])]) ).
fof(f1480,plain,
( ! [X2] :
( ~ ssList(sK7)
| ~ ssList(nil)
| ~ ssList(X2)
| segmentP(app(X2,sK7),sK7) )
| ~ spl52_48 ),
inference(superposition,[],[f656,f770]) ).
fof(f1495,plain,
( ~ spl52_1
| spl52_123
| ~ spl52_11
| ~ spl52_44 ),
inference(avatar_split_clause,[],[f1479,f737,f509,f1493,f459]) ).
fof(f1493,plain,
( spl52_123
<=> ! [X1] :
( segmentP(app(X1,sK7),nil)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_123])]) ).
fof(f1479,plain,
( ! [X1] :
( ~ ssList(sK7)
| segmentP(app(X1,sK7),nil)
| ~ ssList(X1)
| ~ ssList(nil) )
| ~ spl52_44 ),
inference(superposition,[],[f656,f739]) ).
fof(f1491,plain,
( spl52_122
| ~ spl52_1
| ~ spl52_8
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f1481,f763,f494,f459,f1489]) ).
fof(f1489,plain,
( spl52_122
<=> ! [X3] :
( segmentP(app(X3,sK8),sK8)
| ~ ssList(X3) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_122])]) ).
fof(f1481,plain,
( ! [X3] :
( ~ ssList(sK8)
| ~ ssList(nil)
| segmentP(app(X3,sK8),sK8)
| ~ ssList(X3) )
| ~ spl52_47 ),
inference(superposition,[],[f656,f765]) ).
fof(f1472,plain,
( spl52_121
| ~ spl52_8
| ~ spl52_25 ),
inference(avatar_split_clause,[],[f1451,f621,f494,f1469]) ).
fof(f1451,plain,
( sK8 = app(app(sK21(sK8,nil),nil),sK22(sK8,nil))
| ~ spl52_8
| ~ spl52_25 ),
inference(resolution,[],[f622,f496]) ).
fof(f1467,plain,
( spl52_120
| ~ spl52_25
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f1454,f633,f621,f1464]) ).
fof(f1464,plain,
( spl52_120
<=> sK22(sK7,sK8) = app(app(sK21(sK22(sK7,sK8),nil),nil),sK22(sK22(sK7,sK8),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_120])]) ).
fof(f1454,plain,
( sK22(sK7,sK8) = app(app(sK21(sK22(sK7,sK8),nil),nil),sK22(sK22(sK7,sK8),nil))
| ~ spl52_25
| ~ spl52_26 ),
inference(resolution,[],[f622,f634]) ).
fof(f1462,plain,
( spl52_119
| ~ spl52_11
| ~ spl52_25 ),
inference(avatar_split_clause,[],[f1450,f621,f509,f1459]) ).
fof(f1450,plain,
( sK7 = app(app(sK21(sK7,nil),nil),sK22(sK7,nil))
| ~ spl52_11
| ~ spl52_25 ),
inference(resolution,[],[f622,f511]) ).
fof(f1443,plain,
( spl52_118
| ~ spl52_114
| spl52_117
| ~ spl52_62 ),
inference(avatar_split_clause,[],[f1423,f900,f1436,f1425,f1441]) ).
fof(f1441,plain,
( spl52_118
<=> ! [X1] :
( ~ ssItem(X1)
| ~ totalorderedP(cons(X1,cons(sK10,sK7)))
| leq(X1,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_118])]) ).
fof(f1423,plain,
( ! [X1] :
( nil = cons(sK10,sK7)
| ~ ssList(cons(sK10,sK7))
| ~ ssItem(X1)
| leq(X1,sK10)
| ~ totalorderedP(cons(X1,cons(sK10,sK7))) )
| ~ spl52_62 ),
inference(superposition,[],[f319,f902]) ).
fof(f1439,plain,
( ~ spl52_114
| spl52_115
| ~ spl52_116
| spl52_117
| ~ spl52_62 ),
inference(avatar_split_clause,[],[f1422,f900,f1436,f1432,f1429,f1425]) ).
fof(f1429,plain,
( spl52_115
<=> ! [X0] :
( ~ ssItem(X0)
| totalorderedP(cons(X0,cons(sK10,sK7)))
| ~ leq(X0,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_115])]) ).
fof(f1422,plain,
( ! [X0] :
( nil = cons(sK10,sK7)
| ~ totalorderedP(cons(sK10,sK7))
| ~ ssItem(X0)
| ~ leq(X0,sK10)
| ~ ssList(cons(sK10,sK7))
| totalorderedP(cons(X0,cons(sK10,sK7))) )
| ~ spl52_62 ),
inference(superposition,[],[f317,f902]) ).
fof(f1419,plain,
( spl52_113
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1392,f509,f1416]) ).
fof(f1392,plain,
( sK7 = app(app(sK21(sK7,sK7),sK7),sK22(sK7,sK7))
| ~ spl52_11 ),
inference(resolution,[],[f613,f511]) ).
fof(f1414,plain,
( spl52_112
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f1388,f459,f1411]) ).
fof(f1411,plain,
( spl52_112
<=> nil = app(app(sK21(nil,nil),nil),sK22(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_112])]) ).
fof(f1388,plain,
( nil = app(app(sK21(nil,nil),nil),sK22(nil,nil))
| ~ spl52_1 ),
inference(resolution,[],[f613,f460]) ).
fof(f460,plain,
( ssList(nil)
| ~ spl52_1 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f1409,plain,
( spl52_111
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f1396,f633,f1406]) ).
fof(f1406,plain,
( spl52_111
<=> sK22(sK7,sK8) = app(app(sK21(sK22(sK7,sK8),sK22(sK7,sK8)),sK22(sK7,sK8)),sK22(sK22(sK7,sK8),sK22(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_111])]) ).
fof(f1396,plain,
( sK22(sK7,sK8) = app(app(sK21(sK22(sK7,sK8),sK22(sK7,sK8)),sK22(sK7,sK8)),sK22(sK22(sK7,sK8),sK22(sK7,sK8)))
| ~ spl52_26 ),
inference(resolution,[],[f613,f634]) ).
fof(f1404,plain,
( spl52_110
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f1393,f494,f1401]) ).
fof(f1393,plain,
( app(app(sK21(sK8,sK8),sK8),sK22(sK8,sK8)) = sK8
| ~ spl52_8 ),
inference(resolution,[],[f613,f496]) ).
fof(f1372,plain,
( spl52_109
| spl52_75
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1350,f509,f977,f1369]) ).
fof(f1350,plain,
( nil = sK7
| sK7 = cons(sK51(sK7),sK50(sK7))
| ~ spl52_11 ),
inference(resolution,[],[f414,f511]) ).
fof(f1367,plain,
( spl52_108
| spl52_69
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f1354,f633,f950,f1364]) ).
fof(f1364,plain,
( spl52_108
<=> sK22(sK7,sK8) = cons(sK51(sK22(sK7,sK8)),sK50(sK22(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_108])]) ).
fof(f950,plain,
( spl52_69
<=> nil = sK22(sK7,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_69])]) ).
fof(f1354,plain,
( nil = sK22(sK7,sK8)
| sK22(sK7,sK8) = cons(sK51(sK22(sK7,sK8)),sK50(sK22(sK7,sK8)))
| ~ spl52_26 ),
inference(resolution,[],[f414,f634]) ).
fof(f1362,plain,
( spl52_70
| spl52_107
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f1351,f494,f1359,f955]) ).
fof(f1351,plain,
( sK8 = cons(sK51(sK8),sK50(sK8))
| nil = sK8
| ~ spl52_8 ),
inference(resolution,[],[f414,f496]) ).
fof(f1323,plain,
( spl52_106
| spl52_70
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f1301,f494,f955,f1320]) ).
fof(f1301,plain,
( nil = sK8
| cons(hd(sK8),tl(sK8)) = sK8
| ~ spl52_8 ),
inference(resolution,[],[f274,f496]) ).
fof(f1318,plain,
( spl52_105
| spl52_69
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f1304,f633,f950,f1315]) ).
fof(f1315,plain,
( spl52_105
<=> sK22(sK7,sK8) = cons(hd(sK22(sK7,sK8)),tl(sK22(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_105])]) ).
fof(f1304,plain,
( nil = sK22(sK7,sK8)
| sK22(sK7,sK8) = cons(hd(sK22(sK7,sK8)),tl(sK22(sK7,sK8)))
| ~ spl52_26 ),
inference(resolution,[],[f274,f634]) ).
fof(f1313,plain,
( spl52_75
| spl52_104
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f1300,f509,f1310,f977]) ).
fof(f1300,plain,
( cons(hd(sK7),tl(sK7)) = sK7
| nil = sK7
| ~ spl52_11 ),
inference(resolution,[],[f274,f511]) ).
fof(f1262,plain,
( ~ spl52_8
| spl52_85 ),
inference(avatar_split_clause,[],[f1261,f1082,f494]) ).
fof(f1082,plain,
( spl52_85
<=> segmentP(sK8,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_85])]) ).
fof(f1261,plain,
( ~ ssList(sK8)
| spl52_85 ),
inference(resolution,[],[f1084,f381]) ).
fof(f381,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ~ ssList(X0)
| segmentP(X0,nil) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f1084,plain,
( ~ segmentP(sK8,nil)
| spl52_85 ),
inference(avatar_component_clause,[],[f1082]) ).
fof(f1244,plain,
( spl52_103
| ~ spl52_24
| ~ spl52_45
| ~ spl52_76 ),
inference(avatar_split_clause,[],[f1239,f983,f742,f616,f1241]) ).
fof(f1239,plain,
( app(sK8,sK22(sK7,sK8)) = sK7
| ~ spl52_24
| ~ spl52_45
| ~ spl52_76 ),
inference(forward_demodulation,[],[f1238,f744]) ).
fof(f1238,plain,
( app(app(nil,sK8),sK22(sK7,sK8)) = sK7
| ~ spl52_24
| ~ spl52_76 ),
inference(forward_demodulation,[],[f618,f985]) ).
fof(f1221,plain,
( ~ spl52_8
| spl52_70
| ~ spl52_89 ),
inference(avatar_split_clause,[],[f1216,f1110,f955,f494]) ).
fof(f1110,plain,
( spl52_89
<=> segmentP(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_89])]) ).
fof(f1216,plain,
( nil = sK8
| ~ ssList(sK8)
| ~ spl52_89 ),
inference(resolution,[],[f1112,f252]) ).
fof(f252,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ~ ssList(X0)
| ( segmentP(nil,X0)
<=> nil = X0 ) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f1112,plain,
( segmentP(nil,sK8)
| ~ spl52_89 ),
inference(avatar_component_clause,[],[f1110]) ).
fof(f1213,plain,
( spl52_102
| ~ spl52_45
| ~ spl52_87
| ~ spl52_99 ),
inference(avatar_split_clause,[],[f1208,f1172,f1096,f742,f1210]) ).
fof(f1210,plain,
( spl52_102
<=> nil = app(sK8,sK22(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_102])]) ).
fof(f1096,plain,
( spl52_87
<=> nil = sK21(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_87])]) ).
fof(f1172,plain,
( spl52_99
<=> nil = app(app(sK21(nil,sK8),sK8),sK22(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_99])]) ).
fof(f1208,plain,
( nil = app(sK8,sK22(nil,sK8))
| ~ spl52_45
| ~ spl52_87
| ~ spl52_99 ),
inference(forward_demodulation,[],[f1196,f744]) ).
fof(f1196,plain,
( nil = app(app(nil,sK8),sK22(nil,sK8))
| ~ spl52_87
| ~ spl52_99 ),
inference(backward_demodulation,[],[f1174,f1097]) ).
fof(f1097,plain,
( nil = sK21(nil,sK8)
| ~ spl52_87 ),
inference(avatar_component_clause,[],[f1096]) ).
fof(f1174,plain,
( nil = app(app(sK21(nil,sK8),sK8),sK22(nil,sK8))
| ~ spl52_99 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1201,plain,
( ~ spl52_101
| ~ spl52_87
| spl52_98 ),
inference(avatar_split_clause,[],[f1195,f1167,f1096,f1198]) ).
fof(f1198,plain,
( spl52_101
<=> nil = app(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_101])]) ).
fof(f1167,plain,
( spl52_98
<=> nil = app(sK21(nil,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_98])]) ).
fof(f1195,plain,
( nil != app(nil,sK8)
| ~ spl52_87
| spl52_98 ),
inference(backward_demodulation,[],[f1169,f1097]) ).
fof(f1169,plain,
( nil != app(sK21(nil,sK8),sK8)
| spl52_98 ),
inference(avatar_component_clause,[],[f1167]) ).
fof(f1182,plain,
( spl52_87
| ~ spl52_75
| ~ spl52_76 ),
inference(avatar_split_clause,[],[f1181,f983,f977,f1096]) ).
fof(f1181,plain,
( nil = sK21(nil,sK8)
| ~ spl52_75
| ~ spl52_76 ),
inference(forward_demodulation,[],[f985,f979]) ).
fof(f979,plain,
( nil = sK7
| ~ spl52_75 ),
inference(avatar_component_clause,[],[f977]) ).
fof(f1180,plain,
( spl52_100
| ~ spl52_52
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1015,f977,f803,f1177]) ).
fof(f1177,plain,
( spl52_100
<=> app(nil,sK21(nil,sK8)) = sK21(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_100])]) ).
fof(f803,plain,
( spl52_52
<=> sK21(sK7,sK8) = app(nil,sK21(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_52])]) ).
fof(f1015,plain,
( app(nil,sK21(nil,sK8)) = sK21(nil,sK8)
| ~ spl52_52
| ~ spl52_75 ),
inference(backward_demodulation,[],[f805,f979]) ).
fof(f805,plain,
( sK21(sK7,sK8) = app(nil,sK21(sK7,sK8))
| ~ spl52_52 ),
inference(avatar_component_clause,[],[f803]) ).
fof(f1175,plain,
( spl52_99
| ~ spl52_24
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f997,f977,f616,f1172]) ).
fof(f997,plain,
( nil = app(app(sK21(nil,sK8),sK8),sK22(nil,sK8))
| ~ spl52_24
| ~ spl52_75 ),
inference(backward_demodulation,[],[f618,f979]) ).
fof(f1170,plain,
( ~ spl52_98
| spl52_72
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1030,f977,f964,f1167]) ).
fof(f1030,plain,
( nil != app(sK21(nil,sK8),sK8)
| spl52_72
| ~ spl52_75 ),
inference(backward_demodulation,[],[f965,f979]) ).
fof(f965,plain,
( nil != app(sK21(sK7,sK8),sK8)
| spl52_72 ),
inference(avatar_component_clause,[],[f964]) ).
fof(f1164,plain,
( ~ spl52_97
| spl52_14
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f993,f977,f531,f1161]) ).
fof(f993,plain,
( ~ memberP(nil,sK10)
| spl52_14
| ~ spl52_75 ),
inference(backward_demodulation,[],[f533,f979]) ).
fof(f533,plain,
( ~ memberP(sK7,sK10)
| spl52_14 ),
inference(avatar_component_clause,[],[f531]) ).
fof(f1159,plain,
( spl52_96
| ~ spl52_73
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1031,f977,f968,f1156]) ).
fof(f1156,plain,
( spl52_96
<=> sK36(app(sK21(nil,sK8),sK8)) = hd(app(sK21(nil,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_96])]) ).
fof(f968,plain,
( spl52_73
<=> hd(app(sK21(sK7,sK8),sK8)) = sK36(app(sK21(sK7,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_73])]) ).
fof(f1031,plain,
( sK36(app(sK21(nil,sK8),sK8)) = hd(app(sK21(nil,sK8),sK8))
| ~ spl52_73
| ~ spl52_75 ),
inference(backward_demodulation,[],[f970,f979]) ).
fof(f970,plain,
( hd(app(sK21(sK7,sK8),sK8)) = sK36(app(sK21(sK7,sK8),sK8))
| ~ spl52_73 ),
inference(avatar_component_clause,[],[f968]) ).
fof(f1154,plain,
( spl52_95
| ~ spl52_75
| ~ spl52_77 ),
inference(avatar_split_clause,[],[f1034,f987,f977,f1151]) ).
fof(f1151,plain,
( spl52_95
<=> hd(sK21(nil,sK8)) = sK36(sK21(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_95])]) ).
fof(f987,plain,
( spl52_77
<=> sK36(sK21(sK7,sK8)) = hd(sK21(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_77])]) ).
fof(f1034,plain,
( hd(sK21(nil,sK8)) = sK36(sK21(nil,sK8))
| ~ spl52_75
| ~ spl52_77 ),
inference(backward_demodulation,[],[f989,f979]) ).
fof(f989,plain,
( sK36(sK21(sK7,sK8)) = hd(sK21(sK7,sK8))
| ~ spl52_77 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f1149,plain,
( spl52_94
| ~ spl52_27
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f999,f977,f637,f1146]) ).
fof(f1146,plain,
( spl52_94
<=> ssList(app(sK21(nil,sK8),sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_94])]) ).
fof(f999,plain,
( ssList(app(sK21(nil,sK8),sK8))
| ~ spl52_27
| ~ spl52_75 ),
inference(backward_demodulation,[],[f638,f979]) ).
fof(f1144,plain,
( spl52_93
| ~ spl52_46
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1010,f977,f758,f1141]) ).
fof(f1141,plain,
( spl52_93
<=> sK22(nil,sK8) = app(sK22(nil,sK8),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_93])]) ).
fof(f758,plain,
( spl52_46
<=> sK22(sK7,sK8) = app(sK22(sK7,sK8),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_46])]) ).
fof(f1010,plain,
( sK22(nil,sK8) = app(sK22(nil,sK8),nil)
| ~ spl52_46
| ~ spl52_75 ),
inference(backward_demodulation,[],[f760,f979]) ).
fof(f760,plain,
( sK22(sK7,sK8) = app(sK22(sK7,sK8),nil)
| ~ spl52_46 ),
inference(avatar_component_clause,[],[f758]) ).
fof(f1138,plain,
( spl52_92
| ~ spl52_42
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1008,f977,f727,f1135]) ).
fof(f1135,plain,
( spl52_92
<=> sK22(nil,sK8) = app(nil,sK22(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_92])]) ).
fof(f727,plain,
( spl52_42
<=> sK22(sK7,sK8) = app(nil,sK22(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_42])]) ).
fof(f1008,plain,
( sK22(nil,sK8) = app(nil,sK22(nil,sK8))
| ~ spl52_42
| ~ spl52_75 ),
inference(backward_demodulation,[],[f729,f979]) ).
fof(f729,plain,
( sK22(sK7,sK8) = app(nil,sK22(sK7,sK8))
| ~ spl52_42 ),
inference(avatar_component_clause,[],[f727]) ).
fof(f1132,plain,
( ~ spl52_91
| spl52_74
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1032,f977,f973,f1129]) ).
fof(f1129,plain,
( spl52_91
<=> hd(nil) = sK36(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_91])]) ).
fof(f973,plain,
( spl52_74
<=> sK36(sK7) = hd(sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_74])]) ).
fof(f1032,plain,
( hd(nil) != sK36(nil)
| spl52_74
| ~ spl52_75 ),
inference(backward_demodulation,[],[f974,f979]) ).
fof(f974,plain,
( sK36(sK7) != hd(sK7)
| spl52_74 ),
inference(avatar_component_clause,[],[f973]) ).
fof(f1127,plain,
( spl52_90
| ~ spl52_68
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1028,f977,f946,f1124]) ).
fof(f1124,plain,
( spl52_90
<=> hd(sK22(nil,sK8)) = sK36(sK22(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_90])]) ).
fof(f946,plain,
( spl52_68
<=> hd(sK22(sK7,sK8)) = sK36(sK22(sK7,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_68])]) ).
fof(f1028,plain,
( hd(sK22(nil,sK8)) = sK36(sK22(nil,sK8))
| ~ spl52_68
| ~ spl52_75 ),
inference(backward_demodulation,[],[f948,f979]) ).
fof(f948,plain,
( hd(sK22(sK7,sK8)) = sK36(sK22(sK7,sK8))
| ~ spl52_68 ),
inference(avatar_component_clause,[],[f946]) ).
fof(f1113,plain,
( spl52_89
| ~ spl52_7
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f991,f977,f489,f1110]) ).
fof(f991,plain,
( segmentP(nil,sK8)
| ~ spl52_7
| ~ spl52_75 ),
inference(backward_demodulation,[],[f491,f979]) ).
fof(f1104,plain,
( spl52_88
| ~ spl52_64
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1026,f977,f910,f1101]) ).
fof(f1101,plain,
( spl52_88
<=> sK10 = hd(cons(sK10,sK22(nil,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_88])]) ).
fof(f910,plain,
( spl52_64
<=> sK10 = hd(cons(sK10,sK22(sK7,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_64])]) ).
fof(f1026,plain,
( sK10 = hd(cons(sK10,sK22(nil,sK8)))
| ~ spl52_64
| ~ spl52_75 ),
inference(backward_demodulation,[],[f912,f979]) ).
fof(f912,plain,
( sK10 = hd(cons(sK10,sK22(sK7,sK8)))
| ~ spl52_64 ),
inference(avatar_component_clause,[],[f910]) ).
fof(f1099,plain,
( ~ spl52_87
| ~ spl52_75
| spl52_76 ),
inference(avatar_split_clause,[],[f1033,f983,f977,f1096]) ).
fof(f1033,plain,
( nil != sK21(nil,sK8)
| ~ spl52_75
| spl52_76 ),
inference(backward_demodulation,[],[f984,f979]) ).
fof(f984,plain,
( nil != sK21(sK7,sK8)
| spl52_76 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f1094,plain,
( spl52_86
| ~ spl52_63
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1025,f977,f905,f1091]) ).
fof(f1091,plain,
( spl52_86
<=> sK10 = hd(cons(sK10,sK21(nil,sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_86])]) ).
fof(f905,plain,
( spl52_63
<=> hd(cons(sK10,sK21(sK7,sK8))) = sK10 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_63])]) ).
fof(f1025,plain,
( sK10 = hd(cons(sK10,sK21(nil,sK8)))
| ~ spl52_63
| ~ spl52_75 ),
inference(backward_demodulation,[],[f907,f979]) ).
fof(f907,plain,
( hd(cons(sK10,sK21(sK7,sK8))) = sK10
| ~ spl52_63 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f1085,plain,
( ~ spl52_85
| spl52_22
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f995,f977,f583,f1082]) ).
fof(f583,plain,
( spl52_22
<=> segmentP(sK8,sK7) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_22])]) ).
fof(f995,plain,
( ~ segmentP(sK8,nil)
| spl52_22
| ~ spl52_75 ),
inference(backward_demodulation,[],[f585,f979]) ).
fof(f585,plain,
( ~ segmentP(sK8,sK7)
| spl52_22 ),
inference(avatar_component_clause,[],[f583]) ).
fof(f1076,plain,
( ~ spl52_84
| spl52_69
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1029,f977,f950,f1073]) ).
fof(f1073,plain,
( spl52_84
<=> nil = sK22(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_84])]) ).
fof(f1029,plain,
( nil != sK22(nil,sK8)
| spl52_69
| ~ spl52_75 ),
inference(backward_demodulation,[],[f951,f979]) ).
fof(f951,plain,
( nil != sK22(sK7,sK8)
| spl52_69 ),
inference(avatar_component_clause,[],[f950]) ).
fof(f1071,plain,
( spl52_83
| ~ spl52_51
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1014,f977,f798,f1068]) ).
fof(f1068,plain,
( spl52_83
<=> app(sK21(nil,sK8),nil) = sK21(nil,sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_83])]) ).
fof(f798,plain,
( spl52_51
<=> sK21(sK7,sK8) = app(sK21(sK7,sK8),nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_51])]) ).
fof(f1014,plain,
( app(sK21(nil,sK8),nil) = sK21(nil,sK8)
| ~ spl52_51
| ~ spl52_75 ),
inference(backward_demodulation,[],[f800,f979]) ).
fof(f800,plain,
( sK21(sK7,sK8) = app(sK21(sK7,sK8),nil)
| ~ spl52_51 ),
inference(avatar_component_clause,[],[f798]) ).
fof(f1066,plain,
( spl52_82
| ~ spl52_49
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1012,f977,f783,f1063]) ).
fof(f1063,plain,
( spl52_82
<=> ssList(sK21(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_82])]) ).
fof(f1012,plain,
( ssList(sK21(nil,sK8))
| ~ spl52_49
| ~ spl52_75 ),
inference(backward_demodulation,[],[f784,f979]) ).
fof(f784,plain,
( ssList(sK21(sK7,sK8))
| ~ spl52_49 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f1060,plain,
( spl52_81
| ~ spl52_26
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f998,f977,f633,f1057]) ).
fof(f1057,plain,
( spl52_81
<=> ssList(sK22(nil,sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_81])]) ).
fof(f998,plain,
( ssList(sK22(nil,sK8))
| ~ spl52_26
| ~ spl52_75 ),
inference(backward_demodulation,[],[f634,f979]) ).
fof(f1050,plain,
( spl52_80
| ~ spl52_65
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1027,f977,f915,f1047]) ).
fof(f1047,plain,
( spl52_80
<=> sK10 = hd(cons(sK10,app(sK21(nil,sK8),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_80])]) ).
fof(f915,plain,
( spl52_65
<=> sK10 = hd(cons(sK10,app(sK21(sK7,sK8),sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_65])]) ).
fof(f1027,plain,
( sK10 = hd(cons(sK10,app(sK21(nil,sK8),sK8)))
| ~ spl52_65
| ~ spl52_75 ),
inference(backward_demodulation,[],[f917,f979]) ).
fof(f917,plain,
( sK10 = hd(cons(sK10,app(sK21(sK7,sK8),sK8)))
| ~ spl52_65 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f1044,plain,
( spl52_79
| ~ spl52_56
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1018,f977,f846,f1041]) ).
fof(f1041,plain,
( spl52_79
<=> app(nil,app(sK21(nil,sK8),sK8)) = app(sK21(nil,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_79])]) ).
fof(f846,plain,
( spl52_56
<=> app(nil,app(sK21(sK7,sK8),sK8)) = app(sK21(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_56])]) ).
fof(f1018,plain,
( app(nil,app(sK21(nil,sK8),sK8)) = app(sK21(nil,sK8),sK8)
| ~ spl52_56
| ~ spl52_75 ),
inference(backward_demodulation,[],[f848,f979]) ).
fof(f848,plain,
( app(nil,app(sK21(sK7,sK8),sK8)) = app(sK21(sK7,sK8),sK8)
| ~ spl52_56 ),
inference(avatar_component_clause,[],[f846]) ).
fof(f1039,plain,
( spl52_78
| ~ spl52_57
| ~ spl52_75 ),
inference(avatar_split_clause,[],[f1019,f977,f851,f1036]) ).
fof(f1036,plain,
( spl52_78
<=> app(app(sK21(nil,sK8),sK8),nil) = app(sK21(nil,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_78])]) ).
fof(f851,plain,
( spl52_57
<=> app(app(sK21(sK7,sK8),sK8),nil) = app(sK21(sK7,sK8),sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_57])]) ).
fof(f1019,plain,
( app(app(sK21(nil,sK8),sK8),nil) = app(sK21(nil,sK8),sK8)
| ~ spl52_57
| ~ spl52_75 ),
inference(backward_demodulation,[],[f853,f979]) ).
fof(f853,plain,
( app(app(sK21(sK7,sK8),sK8),nil) = app(sK21(sK7,sK8),sK8)
| ~ spl52_57 ),
inference(avatar_component_clause,[],[f851]) ).
fof(f990,plain,
( spl52_76
| spl52_77
| ~ spl52_49 ),
inference(avatar_split_clause,[],[f939,f783,f987,f983]) ).
fof(f939,plain,
( sK36(sK21(sK7,sK8)) = hd(sK21(sK7,sK8))
| nil = sK21(sK7,sK8)
| ~ spl52_49 ),
inference(resolution,[],[f360,f784]) ).
fof(f980,plain,
( spl52_74
| spl52_75
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f936,f509,f977,f973]) ).
fof(f936,plain,
( nil = sK7
| sK36(sK7) = hd(sK7)
| ~ spl52_11 ),
inference(resolution,[],[f360,f511]) ).
fof(f971,plain,
( spl52_72
| spl52_73
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f931,f637,f968,f964]) ).
fof(f931,plain,
( hd(app(sK21(sK7,sK8),sK8)) = sK36(app(sK21(sK7,sK8),sK8))
| nil = app(sK21(sK7,sK8),sK8)
| ~ spl52_27 ),
inference(resolution,[],[f360,f638]) ).
fof(f962,plain,
( spl52_70
| spl52_71
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f937,f494,f959,f955]) ).
fof(f959,plain,
( spl52_71
<=> sK36(sK8) = hd(sK8) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_71])]) ).
fof(f937,plain,
( sK36(sK8) = hd(sK8)
| nil = sK8
| ~ spl52_8 ),
inference(resolution,[],[f360,f496]) ).
fof(f953,plain,
( spl52_68
| spl52_69
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f941,f633,f950,f946]) ).
fof(f941,plain,
( nil = sK22(sK7,sK8)
| hd(sK22(sK7,sK8)) = sK36(sK22(sK7,sK8))
| ~ spl52_26 ),
inference(resolution,[],[f360,f634]) ).
fof(f928,plain,
( spl52_67
| ~ spl52_8
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f891,f553,f494,f925]) ).
fof(f891,plain,
( hd(cons(sK10,sK8)) = sK10
| ~ spl52_8
| ~ spl52_18 ),
inference(resolution,[],[f879,f496]) ).
fof(f923,plain,
( spl52_66
| ~ spl52_1
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f886,f553,f459,f920]) ).
fof(f886,plain,
( sK10 = hd(cons(sK10,nil))
| ~ spl52_1
| ~ spl52_18 ),
inference(resolution,[],[f879,f460]) ).
fof(f918,plain,
( spl52_65
| ~ spl52_18
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f885,f637,f553,f915]) ).
fof(f885,plain,
( sK10 = hd(cons(sK10,app(sK21(sK7,sK8),sK8)))
| ~ spl52_18
| ~ spl52_27 ),
inference(resolution,[],[f879,f638]) ).
fof(f913,plain,
( spl52_64
| ~ spl52_18
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f895,f633,f553,f910]) ).
fof(f895,plain,
( sK10 = hd(cons(sK10,sK22(sK7,sK8)))
| ~ spl52_18
| ~ spl52_26 ),
inference(resolution,[],[f879,f634]) ).
fof(f908,plain,
( spl52_63
| ~ spl52_18
| ~ spl52_49 ),
inference(avatar_split_clause,[],[f893,f783,f553,f905]) ).
fof(f893,plain,
( hd(cons(sK10,sK21(sK7,sK8))) = sK10
| ~ spl52_18
| ~ spl52_49 ),
inference(resolution,[],[f879,f784]) ).
fof(f903,plain,
( spl52_62
| ~ spl52_11
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f890,f553,f509,f900]) ).
fof(f890,plain,
( sK10 = hd(cons(sK10,sK7))
| ~ spl52_11
| ~ spl52_18 ),
inference(resolution,[],[f879,f511]) ).
fof(f875,plain,
( ~ spl52_8
| spl52_61
| ~ spl52_55 ),
inference(avatar_split_clause,[],[f856,f840,f873,f494]) ).
fof(f873,plain,
( spl52_61
<=> ! [X3] :
( ~ ssList(X3)
| app(app(sK21(app(X3,sK7),sK8),sK8),sK22(app(X3,sK7),sK8)) = app(X3,sK7)
| ~ ssList(app(X3,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_61])]) ).
fof(f840,plain,
( spl52_55
<=> ! [X0] :
( ~ ssList(X0)
| segmentP(app(X0,sK7),sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_55])]) ).
fof(f856,plain,
( ! [X3] :
( ~ ssList(X3)
| ~ ssList(app(X3,sK7))
| ~ ssList(sK8)
| app(app(sK21(app(X3,sK7),sK8),sK8),sK22(app(X3,sK7),sK8)) = app(X3,sK7) )
| ~ spl52_55 ),
inference(resolution,[],[f841,f299]) ).
fof(f841,plain,
( ! [X0] :
( segmentP(app(X0,sK7),sK8)
| ~ ssList(X0) )
| ~ spl52_55 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f871,plain,
( ~ spl52_8
| spl52_60
| ~ spl52_55 ),
inference(avatar_split_clause,[],[f857,f840,f869,f494]) ).
fof(f869,plain,
( spl52_60
<=> ! [X4,X5] :
( segmentP(X5,sK8)
| ~ ssList(app(X4,sK7))
| ~ ssList(X5)
| ~ ssList(X4)
| ~ segmentP(X5,app(X4,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_60])]) ).
fof(f857,plain,
( ! [X4,X5] :
( segmentP(X5,sK8)
| ~ ssList(sK8)
| ~ segmentP(X5,app(X4,sK7))
| ~ ssList(X4)
| ~ ssList(X5)
| ~ ssList(app(X4,sK7)) )
| ~ spl52_55 ),
inference(resolution,[],[f841,f326]) ).
fof(f867,plain,
( ~ spl52_8
| spl52_59
| ~ spl52_55 ),
inference(avatar_split_clause,[],[f855,f840,f865,f494]) ).
fof(f865,plain,
( spl52_59
<=> ! [X2,X0,X1] :
( ~ ssList(X1)
| segmentP(app(X1,app(app(X0,sK7),X2)),sK8)
| ~ ssList(app(X0,sK7))
| ~ ssList(X0)
| ~ ssList(X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_59])]) ).
fof(f855,plain,
( ! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(X0,sK7))
| ~ ssList(sK8)
| ~ ssList(X0)
| segmentP(app(X1,app(app(X0,sK7),X2)),sK8) )
| ~ spl52_55 ),
inference(resolution,[],[f841,f524]) ).
fof(f863,plain,
( ~ spl52_8
| spl52_58
| ~ spl52_55 ),
inference(avatar_split_clause,[],[f858,f840,f861,f494]) ).
fof(f861,plain,
( spl52_58
<=> ! [X6] :
( ~ ssList(X6)
| app(X6,sK7) = sK8
| ~ segmentP(sK8,app(X6,sK7))
| ~ ssList(app(X6,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_58])]) ).
fof(f858,plain,
( ! [X6] :
( ~ ssList(X6)
| ~ ssList(sK8)
| ~ ssList(app(X6,sK7))
| ~ segmentP(sK8,app(X6,sK7))
| app(X6,sK7) = sK8 )
| ~ spl52_55 ),
inference(resolution,[],[f841,f330]) ).
fof(f854,plain,
( spl52_57
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f843,f637,f851]) ).
fof(f843,plain,
( app(app(sK21(sK7,sK8),sK8),nil) = app(sK21(sK7,sK8),sK8)
| ~ spl52_27 ),
inference(resolution,[],[f638,f362]) ).
fof(f849,plain,
( spl52_56
| ~ spl52_27 ),
inference(avatar_split_clause,[],[f844,f637,f846]) ).
fof(f844,plain,
( app(nil,app(sK21(sK7,sK8),sK8)) = app(sK21(sK7,sK8),sK8)
| ~ spl52_27 ),
inference(resolution,[],[f638,f291]) ).
fof(f842,plain,
( ~ spl52_1
| spl52_55
| ~ spl52_31
| ~ spl52_48 ),
inference(avatar_split_clause,[],[f829,f768,f658,f840,f459]) ).
fof(f658,plain,
( spl52_31
<=> ! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X0,app(sK7,X1)),sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_31])]) ).
fof(f829,plain,
( ! [X0] :
( ~ ssList(X0)
| ~ ssList(nil)
| segmentP(app(X0,sK7),sK8) )
| ~ spl52_31
| ~ spl52_48 ),
inference(superposition,[],[f659,f770]) ).
fof(f659,plain,
( ! [X0,X1] :
( segmentP(app(X0,app(sK7,X1)),sK8)
| ~ ssList(X1)
| ~ ssList(X0) )
| ~ spl52_31 ),
inference(avatar_component_clause,[],[f658]) ).
fof(f838,plain,
( ~ spl52_11
| ~ spl52_1
| spl52_54
| ~ spl52_48 ),
inference(avatar_split_clause,[],[f831,f768,f836,f459,f509]) ).
fof(f836,plain,
( spl52_54
<=> ! [X1] :
( ~ ssList(X1)
| segmentP(app(X1,sK7),sK7)
| ~ ssList(app(X1,sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_54])]) ).
fof(f831,plain,
( ! [X1] :
( ~ ssList(X1)
| ~ ssList(app(X1,sK7))
| segmentP(app(X1,sK7),sK7)
| ~ ssList(nil)
| ~ ssList(sK7) )
| ~ spl52_48 ),
inference(superposition,[],[f526,f770]) ).
fof(f828,plain,
( ~ spl52_1
| spl52_53
| ~ spl52_8
| ~ spl52_47 ),
inference(avatar_split_clause,[],[f821,f763,f494,f826,f459]) ).
fof(f826,plain,
( spl52_53
<=> ! [X0] :
( ~ ssList(app(X0,sK8))
| segmentP(app(X0,sK8),sK8)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_53])]) ).
fof(f821,plain,
( ! [X0] :
( ~ ssList(sK8)
| ~ ssList(app(X0,sK8))
| ~ ssList(nil)
| ~ ssList(X0)
| segmentP(app(X0,sK8),sK8) )
| ~ spl52_47 ),
inference(superposition,[],[f526,f765]) ).
fof(f806,plain,
( spl52_52
| ~ spl52_49 ),
inference(avatar_split_clause,[],[f796,f783,f803]) ).
fof(f796,plain,
( sK21(sK7,sK8) = app(nil,sK21(sK7,sK8))
| ~ spl52_49 ),
inference(resolution,[],[f784,f291]) ).
fof(f801,plain,
( spl52_51
| ~ spl52_49 ),
inference(avatar_split_clause,[],[f795,f783,f798]) ).
fof(f795,plain,
( sK21(sK7,sK8) = app(sK21(sK7,sK8),nil)
| ~ spl52_49 ),
inference(resolution,[],[f784,f362]) ).
fof(f792,plain,
( ~ spl52_26
| ~ spl52_27
| spl52_50
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f665,f616,f790,f637,f633]) ).
fof(f790,plain,
( spl52_50
<=> ! [X0] :
( ~ ssList(app(X0,sK7))
| ~ ssList(X0)
| segmentP(app(X0,sK7),app(sK21(sK7,sK8),sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_50])]) ).
fof(f665,plain,
( ! [X0] :
( ~ ssList(app(X0,sK7))
| segmentP(app(X0,sK7),app(sK21(sK7,sK8),sK8))
| ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ ssList(X0)
| ~ ssList(sK22(sK7,sK8)) )
| ~ spl52_24 ),
inference(superposition,[],[f526,f618]) ).
fof(f788,plain,
( ~ spl52_8
| ~ spl52_11
| ~ spl52_7
| spl52_49 ),
inference(avatar_split_clause,[],[f787,f783,f489,f509,f494]) ).
fof(f787,plain,
( ~ segmentP(sK7,sK8)
| ~ ssList(sK7)
| ~ ssList(sK8)
| spl52_49 ),
inference(resolution,[],[f785,f302]) ).
fof(f302,plain,
! [X0,X1] :
( ssList(sK21(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f785,plain,
( ~ ssList(sK21(sK7,sK8))
| spl52_49 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f786,plain,
( ~ spl52_49
| ~ spl52_8
| spl52_27 ),
inference(avatar_split_clause,[],[f776,f637,f494,f783]) ).
fof(f776,plain,
( ~ ssList(sK8)
| ~ ssList(sK21(sK7,sK8))
| spl52_27 ),
inference(resolution,[],[f327,f639]) ).
fof(f639,plain,
( ~ ssList(app(sK21(sK7,sK8),sK8))
| spl52_27 ),
inference(avatar_component_clause,[],[f637]) ).
fof(f327,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(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(f771,plain,
( spl52_48
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f750,f509,f768]) ).
fof(f750,plain,
( app(sK7,nil) = sK7
| ~ spl52_11 ),
inference(resolution,[],[f362,f511]) ).
fof(f766,plain,
( spl52_47
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f751,f494,f763]) ).
fof(f751,plain,
( app(sK8,nil) = sK8
| ~ spl52_8 ),
inference(resolution,[],[f362,f496]) ).
fof(f761,plain,
( spl52_46
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f754,f633,f758]) ).
fof(f754,plain,
( sK22(sK7,sK8) = app(sK22(sK7,sK8),nil)
| ~ spl52_26 ),
inference(resolution,[],[f362,f634]) ).
fof(f745,plain,
( spl52_45
| ~ spl52_8 ),
inference(avatar_split_clause,[],[f720,f494,f742]) ).
fof(f720,plain,
( app(nil,sK8) = sK8
| ~ spl52_8 ),
inference(resolution,[],[f291,f496]) ).
fof(f740,plain,
( spl52_44
| ~ spl52_11 ),
inference(avatar_split_clause,[],[f719,f509,f737]) ).
fof(f719,plain,
( app(nil,sK7) = sK7
| ~ spl52_11 ),
inference(resolution,[],[f291,f511]) ).
fof(f735,plain,
( spl52_43
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f715,f459,f732]) ).
fof(f732,plain,
( spl52_43
<=> nil = app(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_43])]) ).
fof(f715,plain,
( nil = app(nil,nil)
| ~ spl52_1 ),
inference(resolution,[],[f291,f460]) ).
fof(f730,plain,
( spl52_42
| ~ spl52_26 ),
inference(avatar_split_clause,[],[f723,f633,f727]) ).
fof(f723,plain,
( sK22(sK7,sK8) = app(nil,sK22(sK7,sK8))
| ~ spl52_26 ),
inference(resolution,[],[f291,f634]) ).
fof(f714,plain,
( ~ spl52_18
| spl52_41
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f691,f553,f712,f553]) ).
fof(f712,plain,
( spl52_41
<=> ! [X2,X1] :
( ~ ssItem(X1)
| ~ ssList(X2)
| ~ memberP(X2,sK10)
| ~ ssList(cons(X1,X2))
| cons(X1,X2) = app(sK34(cons(X1,X2),sK10),cons(sK10,sK35(cons(X1,X2),sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_41])]) ).
fof(f691,plain,
( ! [X2,X1] :
( ~ ssItem(X1)
| cons(X1,X2) = app(sK34(cons(X1,X2),sK10),cons(sK10,sK35(cons(X1,X2),sK10)))
| ~ ssList(cons(X1,X2))
| ~ memberP(X2,sK10)
| ~ ssItem(sK10)
| ~ ssList(X2) )
| ~ spl52_18 ),
inference(resolution,[],[f626,f379]) ).
fof(f626,plain,
( ! [X4] :
( ~ memberP(X4,sK10)
| app(sK34(X4,sK10),cons(sK10,sK35(X4,sK10))) = X4
| ~ ssList(X4) )
| ~ spl52_18 ),
inference(resolution,[],[f356,f555]) ).
fof(f710,plain,
( spl52_40
| ~ spl52_18
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f690,f553,f553,f708]) ).
fof(f708,plain,
( spl52_40
<=> ! [X0] :
( ~ ssList(cons(sK10,X0))
| cons(sK10,X0) = app(sK34(cons(sK10,X0),sK10),cons(sK10,sK35(cons(sK10,X0),sK10)))
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_40])]) ).
fof(f690,plain,
( ! [X0] :
( ~ ssItem(sK10)
| ~ ssList(cons(sK10,X0))
| ~ ssList(X0)
| cons(sK10,X0) = app(sK34(cons(sK10,X0),sK10),cons(sK10,sK35(cons(sK10,X0),sK10))) )
| ~ spl52_18 ),
inference(resolution,[],[f626,f454]) ).
fof(f706,plain,
( spl52_39
| ~ spl52_8
| ~ spl52_9
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f689,f553,f499,f494,f703]) ).
fof(f689,plain,
( ~ ssList(sK8)
| app(sK34(sK8,sK10),cons(sK10,sK35(sK8,sK10))) = sK8
| ~ spl52_9
| ~ spl52_18 ),
inference(resolution,[],[f626,f501]) ).
fof(f701,plain,
( ~ spl52_18
| spl52_38
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f693,f553,f699,f553]) ).
fof(f699,plain,
( spl52_38
<=> ! [X6,X5] :
( app(sK34(app(X5,X6),sK10),cons(sK10,sK35(app(X5,X6),sK10))) = app(X5,X6)
| ~ ssList(X5)
| ~ memberP(X6,sK10)
| ~ ssList(app(X5,X6))
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_38])]) ).
fof(f693,plain,
( ! [X6,X5] :
( app(sK34(app(X5,X6),sK10),cons(sK10,sK35(app(X5,X6),sK10))) = app(X5,X6)
| ~ ssList(X6)
| ~ ssList(app(X5,X6))
| ~ memberP(X6,sK10)
| ~ ssList(X5)
| ~ ssItem(sK10) )
| ~ spl52_18 ),
inference(resolution,[],[f626,f238]) ).
fof(f697,plain,
( ~ spl52_18
| spl52_37
| ~ spl52_18 ),
inference(avatar_split_clause,[],[f692,f553,f695,f553]) ).
fof(f695,plain,
( spl52_37
<=> ! [X4,X3] :
( ~ ssList(X4)
| ~ ssList(app(X3,X4))
| ~ ssList(X3)
| app(X3,X4) = app(sK34(app(X3,X4),sK10),cons(sK10,sK35(app(X3,X4),sK10)))
| ~ memberP(X3,sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_37])]) ).
fof(f692,plain,
( ! [X3,X4] :
( ~ ssList(X4)
| ~ memberP(X3,sK10)
| ~ ssItem(sK10)
| app(X3,X4) = app(sK34(app(X3,X4),sK10),cons(sK10,sK35(app(X3,X4),sK10)))
| ~ ssList(X3)
| ~ ssList(app(X3,X4)) )
| ~ spl52_18 ),
inference(resolution,[],[f626,f239]) ).
fof(f688,plain,
( ~ spl52_8
| spl52_36
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f669,f658,f686,f494]) ).
fof(f686,plain,
( spl52_36
<=> ! [X0,X3,X2,X1] :
( ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(app(X1,app(sK7,X0)))
| ~ ssList(X2)
| segmentP(app(X2,app(app(X1,app(sK7,X0)),X3)),sK8)
| ~ ssList(X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_36])]) ).
fof(f669,plain,
( ! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| segmentP(app(X2,app(app(X1,app(sK7,X0)),X3)),sK8)
| ~ ssList(sK8)
| ~ ssList(X2)
| ~ ssList(app(X1,app(sK7,X0)))
| ~ ssList(X3) )
| ~ spl52_31 ),
inference(resolution,[],[f659,f524]) ).
fof(f684,plain,
( ~ spl52_8
| spl52_35
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f670,f658,f682,f494]) ).
fof(f682,plain,
( spl52_35
<=> ! [X4,X5] :
( ~ ssList(app(X5,app(sK7,X4)))
| ~ ssList(X4)
| ~ ssList(X5)
| app(app(sK21(app(X5,app(sK7,X4)),sK8),sK8),sK22(app(X5,app(sK7,X4)),sK8)) = app(X5,app(sK7,X4)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_35])]) ).
fof(f670,plain,
( ! [X4,X5] :
( ~ ssList(app(X5,app(sK7,X4)))
| app(app(sK21(app(X5,app(sK7,X4)),sK8),sK8),sK22(app(X5,app(sK7,X4)),sK8)) = app(X5,app(sK7,X4))
| ~ ssList(sK8)
| ~ ssList(X5)
| ~ ssList(X4) )
| ~ spl52_31 ),
inference(resolution,[],[f659,f299]) ).
fof(f680,plain,
( ~ spl52_8
| spl52_34
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f672,f658,f678,f494]) ).
fof(f678,plain,
( spl52_34
<=> ! [X9,X10] :
( app(X10,app(sK7,X9)) = sK8
| ~ ssList(X10)
| ~ ssList(app(X10,app(sK7,X9)))
| ~ segmentP(sK8,app(X10,app(sK7,X9)))
| ~ ssList(X9) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_34])]) ).
fof(f672,plain,
( ! [X10,X9] :
( app(X10,app(sK7,X9)) = sK8
| ~ ssList(X9)
| ~ segmentP(sK8,app(X10,app(sK7,X9)))
| ~ ssList(app(X10,app(sK7,X9)))
| ~ ssList(X10)
| ~ ssList(sK8) )
| ~ spl52_31 ),
inference(resolution,[],[f659,f330]) ).
fof(f676,plain,
( ~ spl52_8
| spl52_33
| ~ spl52_31 ),
inference(avatar_split_clause,[],[f671,f658,f674,f494]) ).
fof(f674,plain,
( spl52_33
<=> ! [X6,X7,X8] :
( ~ ssList(app(X7,app(sK7,X6)))
| ~ ssList(X7)
| segmentP(X8,sK8)
| ~ ssList(X6)
| ~ segmentP(X8,app(X7,app(sK7,X6)))
| ~ ssList(X8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_33])]) ).
fof(f671,plain,
( ! [X8,X6,X7] :
( ~ ssList(app(X7,app(sK7,X6)))
| ~ ssList(X8)
| ~ segmentP(X8,app(X7,app(sK7,X6)))
| ~ ssList(X6)
| segmentP(X8,sK8)
| ~ ssList(sK8)
| ~ ssList(X7) )
| ~ spl52_31 ),
inference(resolution,[],[f659,f326]) ).
fof(f667,plain,
( ~ spl52_8
| ~ spl52_11
| ~ spl52_7
| spl52_26 ),
inference(avatar_split_clause,[],[f666,f633,f489,f509,f494]) ).
fof(f666,plain,
( ~ segmentP(sK7,sK8)
| ~ ssList(sK7)
| ~ ssList(sK8)
| spl52_26 ),
inference(resolution,[],[f635,f300]) ).
fof(f300,plain,
! [X0,X1] :
( ssList(sK22(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f167]) ).
fof(f635,plain,
( ~ ssList(sK22(sK7,sK8))
| spl52_26 ),
inference(avatar_component_clause,[],[f633]) ).
fof(f664,plain,
( spl52_32
| ~ spl52_1 ),
inference(avatar_split_clause,[],[f655,f459,f662]) ).
fof(f662,plain,
( spl52_32
<=> ! [X6,X5,X7] :
( ~ ssList(X7)
| ~ ssList(X5)
| segmentP(app(X6,app(X5,X7)),nil)
| ~ ssList(X6) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_32])]) ).
fof(f655,plain,
! [X6,X7,X5] :
( ~ ssList(nil)
| ~ ssList(X7)
| ~ ssList(X5)
| ~ ssList(X6)
| segmentP(app(X6,app(X5,X7)),nil) ),
inference(duplicate_literal_removal,[],[f654]) ).
fof(f654,plain,
! [X6,X7,X5] :
( ~ ssList(X7)
| ~ ssList(X5)
| ~ ssList(X5)
| segmentP(app(X6,app(X5,X7)),nil)
| ~ ssList(X6)
| ~ ssList(nil) ),
inference(resolution,[],[f524,f381]) ).
fof(f660,plain,
( ~ spl52_8
| ~ spl52_11
| spl52_31
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f652,f489,f658,f509,f494]) ).
fof(f652,plain,
( ! [X0,X1] :
( ~ ssList(X0)
| segmentP(app(X0,app(sK7,X1)),sK8)
| ~ ssList(sK7)
| ~ ssList(X1)
| ~ ssList(sK8) )
| ~ spl52_7 ),
inference(resolution,[],[f524,f491]) ).
fof(f651,plain,
( ~ spl52_27
| ~ spl52_26
| spl52_30
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f631,f616,f649,f633,f637]) ).
fof(f649,plain,
( spl52_30
<=> ! [X2] :
( ~ memberP(sK22(sK7,sK8),X2)
| ~ ssItem(X2)
| memberP(sK7,X2) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_30])]) ).
fof(f631,plain,
( ! [X2] :
( ~ memberP(sK22(sK7,sK8),X2)
| ~ ssList(sK22(sK7,sK8))
| memberP(sK7,X2)
| ~ ssItem(X2)
| ~ ssList(app(sK21(sK7,sK8),sK8)) )
| ~ spl52_24 ),
inference(superposition,[],[f238,f618]) ).
fof(f647,plain,
( ~ spl52_26
| ~ spl52_27
| spl52_29
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f629,f616,f645,f637,f633]) ).
fof(f645,plain,
( spl52_29
<=> ! [X0] :
( memberP(sK22(sK7,sK8),X0)
| ~ memberP(sK7,X0)
| ~ ssItem(X0)
| memberP(app(sK21(sK7,sK8),sK8),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_29])]) ).
fof(f629,plain,
( ! [X0] :
( memberP(sK22(sK7,sK8),X0)
| memberP(app(sK21(sK7,sK8),sK8),X0)
| ~ ssItem(X0)
| ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ memberP(sK7,X0)
| ~ ssList(sK22(sK7,sK8)) )
| ~ spl52_24 ),
inference(superposition,[],[f237,f618]) ).
fof(f643,plain,
( ~ spl52_26
| ~ spl52_27
| spl52_28
| ~ spl52_24 ),
inference(avatar_split_clause,[],[f630,f616,f641,f637,f633]) ).
fof(f630,plain,
( ! [X1] :
( ~ ssItem(X1)
| memberP(sK7,X1)
| ~ ssList(app(sK21(sK7,sK8),sK8))
| ~ ssList(sK22(sK7,sK8))
| ~ memberP(app(sK21(sK7,sK8),sK8),X1) )
| ~ spl52_24 ),
inference(superposition,[],[f239,f618]) ).
fof(f623,plain,
( ~ spl52_1
| spl52_25 ),
inference(avatar_split_clause,[],[f614,f621,f459]) ).
fof(f614,plain,
! [X1] :
( app(app(sK21(X1,nil),nil),sK22(X1,nil)) = X1
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f612]) ).
fof(f612,plain,
! [X1] :
( ~ ssList(X1)
| ~ ssList(X1)
| app(app(sK21(X1,nil),nil),sK22(X1,nil)) = X1
| ~ ssList(nil) ),
inference(resolution,[],[f299,f381]) ).
fof(f619,plain,
( spl52_24
| ~ spl52_11
| ~ spl52_8
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f610,f489,f494,f509,f616]) ).
fof(f610,plain,
( ~ ssList(sK8)
| ~ ssList(sK7)
| app(app(sK21(sK7,sK8),sK8),sK22(sK7,sK8)) = sK7
| ~ spl52_7 ),
inference(resolution,[],[f299,f491]) ).
fof(f595,plain,
( ~ spl52_11
| ~ spl52_8
| spl52_23
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f587,f489,f593,f494,f509]) ).
fof(f593,plain,
( spl52_23
<=> ! [X0] :
( ~ segmentP(X0,sK7)
| ~ ssList(X0)
| segmentP(X0,sK8) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_23])]) ).
fof(f587,plain,
( ! [X0] :
( ~ segmentP(X0,sK7)
| ~ ssList(sK8)
| segmentP(X0,sK8)
| ~ ssList(X0)
| ~ ssList(sK7) )
| ~ spl52_7 ),
inference(resolution,[],[f326,f491]) ).
fof(f586,plain,
( ~ spl52_8
| spl52_21
| ~ spl52_11
| ~ spl52_22
| ~ spl52_7 ),
inference(avatar_split_clause,[],[f573,f489,f583,f509,f579,f494]) ).
fof(f579,plain,
( spl52_21
<=> sK7 = sK8 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_21])]) ).
fof(f573,plain,
( ~ segmentP(sK8,sK7)
| ~ ssList(sK7)
| sK7 = sK8
| ~ ssList(sK8)
| ~ spl52_7 ),
inference(resolution,[],[f330,f491]) ).
fof(f566,plain,
spl52_20,
inference(avatar_split_clause,[],[f276,f563]) ).
fof(f563,plain,
( spl52_20
<=> cyclefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_20])]) ).
fof(f276,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f561,plain,
~ spl52_19,
inference(avatar_split_clause,[],[f231,f558]) ).
fof(f558,plain,
( spl52_19
<=> singletonP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_19])]) ).
fof(f231,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f556,plain,
spl52_18,
inference(avatar_split_clause,[],[f253,f553]) ).
fof(f253,plain,
ssItem(sK10),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
? [X0] :
( ssList(X0)
& ? [X1] :
( ssList(X1)
& ? [X2] :
( ssList(X2)
& ? [X3] :
( totalorderedP(X2)
& ssList(X3)
& X0 = X2
& X1 = X3
& segmentP(X3,X2)
& ? [X4] :
( memberP(X0,X4)
& ~ memberP(X1,X4)
& ssItem(X4) ) ) ) ) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( totalorderedP(X2)
& X0 = X2
& ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& segmentP(X3,X2)
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ totalorderedP(X2)
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ~ segmentP(X3,X2)
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ~ totalorderedP(X2)
| X0 != X2
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ~ segmentP(X3,X2)
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f550,plain,
spl52_17,
inference(avatar_split_clause,[],[f325,f547]) ).
fof(f547,plain,
( spl52_17
<=> duplicatefreeP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_17])]) ).
fof(f325,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f544,plain,
spl52_16,
inference(avatar_split_clause,[],[f260,f541]) ).
fof(f260,plain,
totalorderedP(sK8),
inference(cnf_transformation,[],[f133]) ).
fof(f539,plain,
spl52_15,
inference(avatar_split_clause,[],[f411,f536]) ).
fof(f411,plain,
ssItem(sK49),
inference(cnf_transformation,[],[f2]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( ssItem(X1)
& X0 != X1 )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f534,plain,
~ spl52_14,
inference(avatar_split_clause,[],[f254,f531]) ).
fof(f254,plain,
~ memberP(sK7,sK10),
inference(cnf_transformation,[],[f133]) ).
fof(f527,plain,
spl52_11,
inference(avatar_split_clause,[],[f262,f509]) ).
fof(f262,plain,
ssList(sK7),
inference(cnf_transformation,[],[f133]) ).
fof(f523,plain,
spl52_8,
inference(avatar_split_clause,[],[f261,f494]) ).
fof(f261,plain,
ssList(sK8),
inference(cnf_transformation,[],[f133]) ).
fof(f522,plain,
spl52_13,
inference(avatar_split_clause,[],[f321,f519]) ).
fof(f519,plain,
( spl52_13
<=> totalorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_13])]) ).
fof(f321,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f517,plain,
~ spl52_12,
inference(avatar_split_clause,[],[f410,f514]) ).
fof(f514,plain,
( spl52_12
<=> sK48 = sK49 ),
introduced(avatar_definition,[new_symbols(naming,[spl52_12])]) ).
fof(f410,plain,
sK48 != sK49,
inference(cnf_transformation,[],[f2]) ).
fof(f512,plain,
spl52_11,
inference(avatar_split_clause,[],[f423,f509]) ).
fof(f423,plain,
ssList(sK7),
inference(definition_unfolding,[],[f259,f257]) ).
fof(f257,plain,
sK9 = sK7,
inference(cnf_transformation,[],[f133]) ).
fof(f259,plain,
ssList(sK9),
inference(cnf_transformation,[],[f133]) ).
fof(f507,plain,
spl52_10,
inference(avatar_split_clause,[],[f408,f504]) ).
fof(f504,plain,
( spl52_10
<=> strictorderedP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_10])]) ).
fof(f408,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f502,plain,
spl52_9,
inference(avatar_split_clause,[],[f425,f499]) ).
fof(f425,plain,
memberP(sK8,sK10),
inference(definition_unfolding,[],[f255,f258]) ).
fof(f258,plain,
sK6 = sK8,
inference(cnf_transformation,[],[f133]) ).
fof(f255,plain,
memberP(sK6,sK10),
inference(cnf_transformation,[],[f133]) ).
fof(f497,plain,
spl52_8,
inference(avatar_split_clause,[],[f422,f494]) ).
fof(f422,plain,
ssList(sK8),
inference(definition_unfolding,[],[f263,f258]) ).
fof(f263,plain,
ssList(sK6),
inference(cnf_transformation,[],[f133]) ).
fof(f492,plain,
spl52_7,
inference(avatar_split_clause,[],[f424,f489]) ).
fof(f424,plain,
segmentP(sK7,sK8),
inference(definition_unfolding,[],[f256,f257]) ).
fof(f256,plain,
segmentP(sK9,sK8),
inference(cnf_transformation,[],[f133]) ).
fof(f487,plain,
spl52_6,
inference(avatar_split_clause,[],[f354,f484]) ).
fof(f484,plain,
( spl52_6
<=> totalorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_6])]) ).
fof(f354,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f482,plain,
spl52_2,
inference(avatar_split_clause,[],[f275,f463]) ).
fof(f463,plain,
( spl52_2
<=> ! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_2])]) ).
fof(f275,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f481,plain,
spl52_5,
inference(avatar_split_clause,[],[f412,f478]) ).
fof(f412,plain,
ssItem(sK48),
inference(cnf_transformation,[],[f2]) ).
fof(f476,plain,
spl52_4,
inference(avatar_split_clause,[],[f249,f473]) ).
fof(f473,plain,
( spl52_4
<=> equalelemsP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_4])]) ).
fof(f249,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f471,plain,
spl52_1,
inference(avatar_split_clause,[],[f270,f459]) ).
fof(f270,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f470,plain,
spl52_3,
inference(avatar_split_clause,[],[f365,f467]) ).
fof(f467,plain,
( spl52_3
<=> strictorderP(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl52_3])]) ).
fof(f365,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f465,plain,
( ~ spl52_1
| spl52_2 ),
inference(avatar_split_clause,[],[f436,f463,f459]) ).
fof(f436,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f320]) ).
fof(f320,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| nil != X1
| totalorderedP(cons(X0,X1)) ),
inference(cnf_transformation,[],[f137]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWC400+1 : TPTP v8.1.0. Released v2.4.0.
% 0.07/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n014.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 30 18:54:33 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.51 % (12818)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.20/0.51 % (12817)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)
% 0.20/0.51 % (12816)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)
% 0.20/0.52 % (12834)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 0.20/0.52 % (12833)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)
% 1.29/0.53 % (12825)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)
% 1.29/0.53 % (12841)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)
% 1.29/0.53 % (12826)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.29/0.53 % (12832)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.29/0.53 % (12837)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)
% 1.29/0.53 % (12843)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)
% 1.29/0.53 % (12814)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)
% 1.29/0.53 % (12819)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)
% 1.29/0.54 % (12829)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)
% 1.29/0.54 % (12822)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 1.29/0.54 % (12822)Instruction limit reached!
% 1.29/0.54 % (12822)------------------------------
% 1.29/0.54 % (12822)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (12822)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.54 % (12822)Termination reason: Unknown
% 1.29/0.54 % (12822)Termination phase: Preprocessing 3
% 1.29/0.54
% 1.29/0.54 % (12822)Memory used [KB]: 1023
% 1.29/0.54 % (12822)Time elapsed: 0.004 s
% 1.29/0.54 % (12822)Instructions burned: 3 (million)
% 1.29/0.54 % (12822)------------------------------
% 1.29/0.54 % (12822)------------------------------
% 1.29/0.54 % (12820)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)
% 1.29/0.54 % (12842)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.29/0.54 % (12821)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 1.29/0.54 % (12815)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)
% 1.29/0.54 % (12821)Instruction limit reached!
% 1.29/0.54 % (12821)------------------------------
% 1.29/0.54 % (12821)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.29/0.54 % (12821)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.29/0.54 % (12821)Termination reason: Unknown
% 1.29/0.54 % (12821)Termination phase: Function definition elimination
% 1.29/0.54
% 1.29/0.54 % (12821)Memory used [KB]: 1279
% 1.29/0.54 % (12821)Time elapsed: 0.004 s
% 1.29/0.54 % (12821)Instructions burned: 7 (million)
% 1.29/0.54 % (12821)------------------------------
% 1.29/0.54 % (12821)------------------------------
% 1.29/0.54 % (12835)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.29/0.54 % (12824)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.29/0.54 % (12823)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)
% 1.29/0.55 % (12831)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.29/0.55 % (12838)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.29/0.55 % (12827)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.54/0.55 % (12839)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.54/0.56 % (12830)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)
% 1.54/0.57 TRYING [1]
% 1.54/0.57 % (12828)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)
% 1.54/0.57 % (12840)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)
% 1.54/0.57 % (12836)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)
% 1.54/0.58 TRYING [2]
% 1.54/0.58 TRYING [1]
% 1.54/0.58 TRYING [2]
% 1.54/0.58 % (12816)Instruction limit reached!
% 1.54/0.58 % (12816)------------------------------
% 1.54/0.58 % (12816)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.58 % (12816)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.58 % (12816)Termination reason: Unknown
% 1.54/0.58 % (12816)Termination phase: Saturation
% 1.54/0.58
% 1.54/0.58 % (12816)Memory used [KB]: 1791
% 1.54/0.58 % (12816)Time elapsed: 0.177 s
% 1.54/0.58 % (12816)Instructions burned: 38 (million)
% 1.54/0.58 % (12816)------------------------------
% 1.54/0.58 % (12816)------------------------------
% 1.54/0.59 % (12815)Refutation not found, incomplete strategy% (12815)------------------------------
% 1.54/0.59 % (12815)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 TRYING [3]
% 1.54/0.59 TRYING [3]
% 1.54/0.59 TRYING [1]
% 1.54/0.59 % (12818)Instruction limit reached!
% 1.54/0.59 % (12818)------------------------------
% 1.54/0.59 % (12818)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.59 % (12818)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.59 % (12818)Termination reason: Unknown
% 1.54/0.59 % (12818)Termination phase: Saturation
% 1.54/0.59
% 1.54/0.59 % (12818)Memory used [KB]: 6908
% 1.54/0.59 % (12818)Time elapsed: 0.171 s
% 1.54/0.59 % (12818)Instructions burned: 51 (million)
% 1.54/0.59 % (12818)------------------------------
% 1.54/0.59 % (12818)------------------------------
% 1.54/0.59 TRYING [2]
% 1.54/0.60 % (12817)Instruction limit reached!
% 1.54/0.60 % (12817)------------------------------
% 1.54/0.60 % (12817)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.60 % (12817)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (12817)Termination reason: Unknown
% 1.54/0.60 % (12817)Termination phase: Saturation
% 1.54/0.60
% 1.54/0.60 % (12817)Memory used [KB]: 6652
% 1.54/0.60 % (12817)Time elapsed: 0.180 s
% 1.54/0.60 % (12817)Instructions burned: 51 (million)
% 1.54/0.60 % (12817)------------------------------
% 1.54/0.60 % (12817)------------------------------
% 1.54/0.60 % (12815)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.60 % (12815)Termination reason: Refutation not found, incomplete strategy
% 1.54/0.60
% 1.54/0.60 % (12815)Memory used [KB]: 6012
% 1.54/0.60 % (12815)Time elapsed: 0.165 s
% 1.54/0.60 % (12815)Instructions burned: 22 (million)
% 1.54/0.60 % (12815)------------------------------
% 1.54/0.60 % (12815)------------------------------
% 1.54/0.61 % (12823)Instruction limit reached!
% 1.54/0.61 % (12823)------------------------------
% 1.54/0.61 % (12823)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.61 % (12823)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.61 % (12823)Termination reason: Unknown
% 1.54/0.61 % (12823)Termination phase: Saturation
% 1.54/0.61
% 1.54/0.61 % (12823)Memory used [KB]: 2302
% 1.54/0.61 % (12823)Time elapsed: 0.201 s
% 1.54/0.61 % (12823)Instructions burned: 51 (million)
% 1.54/0.61 % (12823)------------------------------
% 1.54/0.61 % (12823)------------------------------
% 1.54/0.62 % (12819)Instruction limit reached!
% 1.54/0.62 % (12819)------------------------------
% 1.54/0.62 % (12819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (12819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (12819)Termination reason: Unknown
% 1.54/0.62 % (12819)Termination phase: Saturation
% 1.54/0.62
% 1.54/0.62 % (12819)Memory used [KB]: 6268
% 1.54/0.62 % (12819)Time elapsed: 0.210 s
% 1.54/0.62 % (12819)Instructions burned: 49 (million)
% 1.54/0.62 % (12819)------------------------------
% 1.54/0.62 % (12819)------------------------------
% 1.54/0.62 % (12820)Instruction limit reached!
% 1.54/0.62 % (12820)------------------------------
% 1.54/0.62 % (12820)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (12820)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (12820)Termination reason: Unknown
% 1.54/0.62 % (12820)Termination phase: Finite model building constraint generation
% 1.54/0.62
% 1.54/0.62 % (12820)Memory used [KB]: 7803
% 1.54/0.62 % (12820)Time elapsed: 0.196 s
% 1.54/0.62 % (12820)Instructions burned: 53 (million)
% 1.54/0.62 % (12820)------------------------------
% 1.54/0.62 % (12820)------------------------------
% 1.54/0.62 TRYING [3]
% 1.54/0.62 % (12831)Instruction limit reached!
% 1.54/0.62 % (12831)------------------------------
% 1.54/0.62 % (12831)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.54/0.62 % (12831)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.54/0.62 % (12831)Termination reason: Unknown
% 1.54/0.62 % (12831)Termination phase: Finite model building constraint generation
% 1.54/0.62
% 1.54/0.62 % (12831)Memory used [KB]: 7931
% 1.54/0.62 % (12831)Time elapsed: 0.196 s
% 1.54/0.62 % (12831)Instructions burned: 62 (million)
% 1.54/0.62 % (12831)------------------------------
% 1.54/0.62 % (12831)------------------------------
% 2.17/0.65 % (12824)Instruction limit reached!
% 2.17/0.65 % (12824)------------------------------
% 2.17/0.65 % (12824)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.65 % (12824)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.65 % (12824)Termination reason: Unknown
% 2.17/0.65 % (12824)Termination phase: Saturation
% 2.17/0.65
% 2.17/0.65 % (12824)Memory used [KB]: 6524
% 2.17/0.65 % (12824)Time elapsed: 0.248 s
% 2.17/0.65 % (12824)Instructions burned: 51 (million)
% 2.17/0.65 % (12824)------------------------------
% 2.17/0.65 % (12824)------------------------------
% 2.17/0.67 % (12865)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)
% 2.17/0.68 % (12828)Instruction limit reached!
% 2.17/0.68 % (12828)------------------------------
% 2.17/0.68 % (12828)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.17/0.68 % (12828)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.17/0.68 % (12828)Termination reason: Unknown
% 2.17/0.68 % (12828)Termination phase: Saturation
% 2.17/0.68
% 2.17/0.68 % (12828)Memory used [KB]: 7164
% 2.17/0.68 % (12828)Time elapsed: 0.059 s
% 2.17/0.68 % (12828)Instructions burned: 69 (million)
% 2.17/0.68 % (12828)------------------------------
% 2.17/0.68 % (12828)------------------------------
% 2.17/0.68 % (12866)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 (2998ds/211Mi)
% 2.39/0.69 % (12829)Instruction limit reached!
% 2.39/0.69 % (12829)------------------------------
% 2.39/0.69 % (12829)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.69 % (12829)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.69 % (12829)Termination reason: Unknown
% 2.39/0.69 % (12829)Termination phase: Saturation
% 2.39/0.69
% 2.39/0.69 % (12829)Memory used [KB]: 2430
% 2.39/0.69 % (12829)Time elapsed: 0.247 s
% 2.39/0.69 % (12829)Instructions burned: 76 (million)
% 2.39/0.69 % (12829)------------------------------
% 2.39/0.69 % (12829)------------------------------
% 2.39/0.70 TRYING [4]
% 2.39/0.70 % (12870)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)
% 2.39/0.71 % (12840)Instruction limit reached!
% 2.39/0.71 % (12840)------------------------------
% 2.39/0.71 % (12840)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.71 % (12840)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.71 % (12840)Termination reason: Unknown
% 2.39/0.71 % (12840)Termination phase: Saturation
% 2.39/0.71
% 2.39/0.71 % (12840)Memory used [KB]: 7164
% 2.39/0.71 % (12840)Time elapsed: 0.047 s
% 2.39/0.71 % (12840)Instructions burned: 69 (million)
% 2.39/0.71 % (12840)------------------------------
% 2.39/0.71 % (12840)------------------------------
% 2.39/0.72 % (12826)Instruction limit reached!
% 2.39/0.72 % (12826)------------------------------
% 2.39/0.72 % (12826)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.72 % (12826)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.72 % (12826)Termination reason: Unknown
% 2.39/0.72 % (12826)Termination phase: Saturation
% 2.39/0.72
% 2.39/0.72 % (12826)Memory used [KB]: 7419
% 2.39/0.72 % (12826)Time elapsed: 0.319 s
% 2.39/0.72 % (12826)Instructions burned: 101 (million)
% 2.39/0.72 % (12826)------------------------------
% 2.39/0.72 % (12826)------------------------------
% 2.39/0.72 % (12825)Instruction limit reached!
% 2.39/0.72 % (12825)------------------------------
% 2.39/0.72 % (12825)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.72 % (12825)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.72 % (12825)Termination reason: Unknown
% 2.39/0.72 % (12825)Termination phase: Saturation
% 2.39/0.72
% 2.39/0.72 % (12825)Memory used [KB]: 8059
% 2.39/0.72 % (12825)Time elapsed: 0.325 s
% 2.39/0.72 % (12825)Instructions burned: 101 (million)
% 2.39/0.72 % (12825)------------------------------
% 2.39/0.72 % (12825)------------------------------
% 2.39/0.73 % (12832)Instruction limit reached!
% 2.39/0.73 % (12832)------------------------------
% 2.39/0.73 % (12832)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.73 % (12832)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.73 % (12832)Termination reason: Unknown
% 2.39/0.73 % (12832)Termination phase: Saturation
% 2.39/0.73
% 2.39/0.73 % (12832)Memory used [KB]: 7419
% 2.39/0.73 % (12832)Time elapsed: 0.307 s
% 2.39/0.73 % (12832)Instructions burned: 101 (million)
% 2.39/0.73 % (12832)------------------------------
% 2.39/0.73 % (12832)------------------------------
% 2.39/0.73 % (12869)ott+1_1:7_bd=off:i=934:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/934Mi)
% 2.39/0.73 % (12833)Instruction limit reached!
% 2.39/0.73 % (12833)------------------------------
% 2.39/0.73 % (12833)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.39/0.73 % (12833)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.39/0.73 % (12833)Termination reason: Unknown
% 2.39/0.73 % (12833)Termination phase: Saturation
% 2.39/0.73
% 2.39/0.73 % (12833)Memory used [KB]: 2686
% 2.39/0.73 % (12833)Time elapsed: 0.332 s
% 2.39/0.73 % (12833)Instructions burned: 100 (million)
% 2.39/0.73 % (12833)------------------------------
% 2.39/0.73 % (12833)------------------------------
% 2.39/0.74 % (12872)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)
% 2.68/0.74 % (12868)ott+1_1:2_i=920:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/920Mi)
% 2.68/0.75 % (12830)Instruction limit reached!
% 2.68/0.75 % (12830)------------------------------
% 2.68/0.75 % (12830)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.75 % (12830)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.75 % (12830)Termination reason: Unknown
% 2.68/0.75 % (12830)Termination phase: Saturation
% 2.68/0.75
% 2.68/0.75 % (12830)Memory used [KB]: 6908
% 2.68/0.75 % (12830)Time elapsed: 0.315 s
% 2.68/0.75 % (12830)Instructions burned: 100 (million)
% 2.68/0.75 % (12830)------------------------------
% 2.68/0.75 % (12830)------------------------------
% 2.68/0.75 % (12827)Instruction limit reached!
% 2.68/0.75 % (12827)------------------------------
% 2.68/0.75 % (12827)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.68/0.75 % (12827)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.68/0.75 % (12827)Termination reason: Unknown
% 2.68/0.75 % (12827)Termination phase: Saturation
% 2.68/0.75
% 2.68/0.75 % (12827)Memory used [KB]: 7291
% 2.68/0.75 % (12827)Time elapsed: 0.350 s
% 2.68/0.75 % (12827)Instructions burned: 100 (million)
% 2.68/0.75 % (12827)------------------------------
% 2.68/0.75 % (12827)------------------------------
% 2.69/0.76 % (12867)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)
% 2.69/0.76 % (12871)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)
% 2.69/0.77 WARNING Broken Constraint: if sine_depth(2) has been set then sine_selection(off) is not equal to off
% 2.69/0.77 % (12874)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)
% 2.69/0.78 % (12834)Instruction limit reached!
% 2.69/0.78 % (12834)------------------------------
% 2.69/0.78 % (12834)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.69/0.78 % (12834)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.69/0.78 % (12834)Termination reason: Unknown
% 2.69/0.78 % (12834)Termination phase: Saturation
% 2.69/0.78
% 2.69/0.78 % (12834)Memory used [KB]: 7419
% 2.69/0.78 % (12834)Time elapsed: 0.379 s
% 2.69/0.78 % (12834)Instructions burned: 177 (million)
% 2.69/0.78 % (12834)------------------------------
% 2.69/0.78 % (12834)------------------------------
% 2.69/0.79 % (12875)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)
% 2.69/0.79 % (12873)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)
% 2.69/0.80 % (12876)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=2016:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/2016Mi)
% 2.88/0.83 % (12872)Instruction limit reached!
% 2.88/0.83 % (12872)------------------------------
% 2.88/0.83 % (12872)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.83 % (12872)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.83 % (12872)Termination reason: Unknown
% 2.88/0.83 % (12872)Termination phase: Saturation
% 2.88/0.83
% 2.88/0.83 % (12872)Memory used [KB]: 7036
% 2.88/0.83 % (12872)Time elapsed: 0.083 s
% 2.88/0.83 % (12872)Instructions burned: 68 (million)
% 2.88/0.83 % (12872)------------------------------
% 2.88/0.83 % (12872)------------------------------
% 2.88/0.84 % (12877)dis+10_1:2_atotf=0.3:i=3735:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/3735Mi)
% 2.88/0.84 % (12879)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)
% 2.88/0.85 % (12835)Instruction limit reached!
% 2.88/0.85 % (12835)------------------------------
% 2.88/0.85 % (12835)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 2.88/0.85 % (12835)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 2.88/0.85 % (12835)Termination reason: Unknown
% 2.88/0.85 % (12835)Termination phase: Saturation
% 2.88/0.85
% 2.88/0.85 % (12835)Memory used [KB]: 7547
% 2.88/0.85 % (12835)Time elapsed: 0.432 s
% 2.88/0.85 % (12835)Instructions burned: 139 (million)
% 2.88/0.85 % (12835)------------------------------
% 2.88/0.85 % (12835)------------------------------
% 2.88/0.85 % (12878)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=4958:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4958Mi)
% 3.07/0.85 % (12880)ott+10_1:1_kws=precedence:tgt=ground:i=4756:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/4756Mi)
% 3.07/0.86 % (12841)Instruction limit reached!
% 3.07/0.86 % (12841)------------------------------
% 3.07/0.86 % (12841)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.86 % (12884)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)
% 3.07/0.86 % (12882)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)
% 3.07/0.87 % (12841)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.87 % (12841)Termination reason: Unknown
% 3.07/0.87 % (12841)Termination phase: Saturation
% 3.07/0.87
% 3.07/0.87 % (12841)Memory used [KB]: 3582
% 3.07/0.87 % (12841)Time elapsed: 0.461 s
% 3.07/0.87 % (12841)Instructions burned: 177 (million)
% 3.07/0.87 % (12841)------------------------------
% 3.07/0.87 % (12841)------------------------------
% 3.07/0.87 % (12881)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)
% 3.07/0.89 % (12883)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)
% 3.07/0.90 % (12891)ott-1_1:1_sp=const_frequency:i=2891:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/2891Mi)
% 3.07/0.93 % (12867)Instruction limit reached!
% 3.07/0.93 % (12867)------------------------------
% 3.07/0.93 % (12867)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.07/0.94 % (12867)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.07/0.94 % (12867)Termination reason: Unknown
% 3.07/0.94 % (12867)Termination phase: Saturation
% 3.07/0.94
% 3.07/0.94 % (12867)Memory used [KB]: 6908
% 3.07/0.94 % (12867)Time elapsed: 0.308 s
% 3.07/0.94 % (12867)Instructions burned: 91 (million)
% 3.07/0.94 % (12867)------------------------------
% 3.07/0.94 % (12867)------------------------------
% 3.34/0.96 % (12875)Instruction limit reached!
% 3.34/0.96 % (12875)------------------------------
% 3.34/0.96 % (12875)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.34/0.96 % (12875)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.34/0.96 % (12875)Termination reason: Unknown
% 3.34/0.96 % (12875)Termination phase: Saturation
% 3.34/0.96
% 3.34/0.96 % (12875)Memory used [KB]: 7164
% 3.34/0.96 % (12875)Time elapsed: 0.258 s
% 3.34/0.96 % (12875)Instructions burned: 90 (million)
% 3.34/0.96 % (12875)------------------------------
% 3.34/0.96 % (12875)------------------------------
% 3.34/0.96 % (12892)dis+2_1:64_add=large:bce=on:bd=off:i=4585:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/4585Mi)
% 3.50/0.99 % (12882)Instruction limit reached!
% 3.50/0.99 % (12882)------------------------------
% 3.50/0.99 % (12882)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/0.99 % (12882)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/0.99 % (12882)Termination reason: Unknown
% 3.50/0.99 % (12882)Termination phase: Saturation
% 3.50/0.99
% 3.50/0.99 % (12882)Memory used [KB]: 7036
% 3.50/0.99 % (12882)Time elapsed: 0.053 s
% 3.50/0.99 % (12882)Instructions burned: 69 (million)
% 3.50/0.99 % (12882)------------------------------
% 3.50/0.99 % (12882)------------------------------
% 3.50/1.01 % (12894)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)
% 3.50/1.01 % (12893)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)
% 3.50/1.01 % (12866)Instruction limit reached!
% 3.50/1.01 % (12866)------------------------------
% 3.50/1.01 % (12866)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 3.50/1.01 % (12866)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 3.50/1.01 % (12866)Termination reason: Unknown
% 3.50/1.01 % (12866)Termination phase: Saturation
% 3.50/1.01
% 3.50/1.01 % (12866)Memory used [KB]: 4733
% 3.50/1.01 % (12866)Time elapsed: 0.440 s
% 3.50/1.01 % (12866)Instructions burned: 213 (million)
% 3.50/1.01 % (12866)------------------------------
% 3.50/1.01 % (12866)------------------------------
% 5.55/1.07 TRYING [5]
% 5.55/1.09 % (12895)dis+10_1:2_atotf=0.3:i=8004:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/8004Mi)
% 5.55/1.09 % (12896)ott+11_9:8_add=large:afp=10:amm=off:fsd=on:fsr=off:lma=on:nm=0:nwc=2.4:s2a=on:s2agt=10:sas=z3:sp=reverse_arity:tha=some:thi=overlap:i=9965:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/9965Mi)
% 6.00/1.14 % (12893)Instruction limit reached!
% 6.00/1.14 % (12893)------------------------------
% 6.00/1.14 % (12893)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.00/1.14 % (12893)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.00/1.14 % (12893)Termination reason: Unknown
% 6.00/1.14 % (12893)Termination phase: Saturation
% 6.00/1.14
% 6.00/1.14 % (12893)Memory used [KB]: 6780
% 6.00/1.14 % (12893)Time elapsed: 0.229 s
% 6.00/1.14 % (12893)Instructions burned: 90 (million)
% 6.00/1.14 % (12893)------------------------------
% 6.00/1.14 % (12893)------------------------------
% 6.00/1.16 % (12898)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 (2993ds/9902Mi)
% 6.00/1.17 % (12897)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)
% 6.95/1.25 % (12843)Instruction limit reached!
% 6.95/1.25 % (12843)------------------------------
% 6.95/1.25 % (12843)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 6.95/1.25 % (12843)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 6.95/1.25 % (12843)Termination reason: Unknown
% 6.95/1.25 % (12843)Termination phase: Saturation
% 6.95/1.25
% 6.95/1.25 % (12843)Memory used [KB]: 11769
% 6.95/1.25 % (12843)Time elapsed: 0.740 s
% 6.95/1.25 % (12843)Instructions burned: 356 (million)
% 6.95/1.25 % (12843)------------------------------
% 6.95/1.25 % (12843)------------------------------
% 7.16/1.28 % (12837)Instruction limit reached!
% 7.16/1.28 % (12837)------------------------------
% 7.16/1.28 % (12837)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.16/1.28 % (12837)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.16/1.28 % (12837)Termination reason: Unknown
% 7.16/1.28 % (12837)Termination phase: Saturation
% 7.16/1.28
% 7.16/1.28 % (12837)Memory used [KB]: 14711
% 7.16/1.28 % (12837)Time elapsed: 0.823 s
% 7.16/1.28 % (12837)Instructions burned: 467 (million)
% 7.16/1.28 % (12837)------------------------------
% 7.16/1.28 % (12837)------------------------------
% 7.16/1.28 % (12899)ott+11_9:8_amm=off:bsd=on:etr=on:fsd=on:fsr=off:lma=on:newcnf=on:nm=0:nwc=3.0:s2a=on:s2agt=10:sas=z3:tha=some:i=1824:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/1824Mi)
% 7.16/1.32 % (12865)Instruction limit reached!
% 7.16/1.32 % (12865)------------------------------
% 7.16/1.32 % (12865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.16/1.32 % (12865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.16/1.32 % (12865)Termination reason: Unknown
% 7.16/1.32 % (12865)Termination phase: Saturation
% 7.16/1.32
% 7.16/1.32 % (12865)Memory used [KB]: 9850
% 7.16/1.32 % (12865)Time elapsed: 0.752 s
% 7.16/1.32 % (12865)Instructions burned: 388 (million)
% 7.16/1.32 % (12865)------------------------------
% 7.16/1.32 % (12865)------------------------------
% 7.68/1.39 % (12900)dis+2_1:64_add=large:bce=on:bd=off:i=9989:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/9989Mi)
% 7.68/1.40 % (12839)Instruction limit reached!
% 7.68/1.40 % (12839)------------------------------
% 7.68/1.40 % (12839)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.68/1.40 % (12839)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.68/1.40 % (12839)Termination reason: Unknown
% 7.68/1.40 % (12839)Termination phase: Saturation
% 7.68/1.40
% 7.68/1.40 % (12839)Memory used [KB]: 13304
% 7.68/1.40 % (12839)Time elapsed: 0.999 s
% 7.68/1.40 % (12839)Instructions burned: 500 (million)
% 7.68/1.40 % (12839)------------------------------
% 7.68/1.40 % (12839)------------------------------
% 7.68/1.40 % (12842)Instruction limit reached!
% 7.68/1.40 % (12842)------------------------------
% 7.68/1.40 % (12842)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 7.68/1.40 % (12842)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 7.68/1.40 % (12842)Termination reason: Unknown
% 7.68/1.40 % (12842)Termination phase: Saturation
% 7.68/1.40
% 7.68/1.40 % (12842)Memory used [KB]: 12025
% 7.68/1.40 % (12842)Time elapsed: 0.928 s
% 7.68/1.40 % (12842)Instructions burned: 441 (million)
% 7.68/1.40 % (12842)------------------------------
% 7.68/1.40 % (12842)------------------------------
% 7.68/1.41 % (12901)ott-11_1:32_i=9707:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/9707Mi)
% 8.21/1.45 % (12836)Instruction limit reached!
% 8.21/1.45 % (12836)------------------------------
% 8.21/1.45 % (12836)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.21/1.45 % (12836)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.21/1.45 % (12836)Termination reason: Unknown
% 8.21/1.45 % (12836)Termination phase: Saturation
% 8.21/1.45
% 8.21/1.45 % (12836)Memory used [KB]: 5628
% 8.21/1.45 % (12836)Time elapsed: 1.012 s
% 8.21/1.45 % (12836)Instructions burned: 499 (million)
% 8.21/1.45 % (12836)------------------------------
% 8.21/1.45 % (12836)------------------------------
% 8.21/1.45 % (12902)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)
% 8.49/1.48 % (12838)Instruction limit reached!
% 8.49/1.48 % (12838)------------------------------
% 8.49/1.48 % (12838)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.49/1.48 % (12838)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.49/1.48 % (12838)Termination reason: Unknown
% 8.49/1.48 % (12838)Termination phase: Saturation
% 8.49/1.48
% 8.49/1.48 % (12838)Memory used [KB]: 12281
% 8.49/1.48 % (12838)Time elapsed: 1.076 s
% 8.49/1.48 % (12838)Instructions burned: 483 (million)
% 8.49/1.48 % (12838)------------------------------
% 8.49/1.48 % (12838)------------------------------
% 8.92/1.55 % (12871)Instruction limit reached!
% 8.92/1.55 % (12871)------------------------------
% 8.92/1.55 % (12871)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 8.92/1.55 % (12871)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 8.92/1.55 % (12871)Termination reason: Unknown
% 8.92/1.55 % (12871)Termination phase: Saturation
% 8.92/1.55
% 8.92/1.55 % (12871)Memory used [KB]: 3582
% 8.92/1.55 % (12871)Time elapsed: 0.915 s
% 8.92/1.55 % (12871)Instructions burned: 657 (million)
% 8.92/1.55 % (12871)------------------------------
% 8.92/1.55 % (12871)------------------------------
% 8.92/1.55 % (12903)ott+3_1:1_abs=on:anc=none:bs=on:fsr=off:spb=goal_then_units:i=44001:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/44001Mi)
% 9.06/1.57 % (12904)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)
% 9.06/1.59 % (12905)ott+1_27:428_av=off:awrs=converge:awrsf=8:bsr=unit_only:drc=off:fd=preordered:newcnf=on:nwc=1.5:skr=on:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:uwa=one_side_constant:i=35256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/35256Mi)
% 9.06/1.62 % (12902)Instruction limit reached!
% 9.06/1.62 % (12902)------------------------------
% 9.06/1.62 % (12902)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 9.06/1.62 % (12902)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 9.06/1.62 % (12902)Termination reason: Unknown
% 9.06/1.62 % (12902)Termination phase: Saturation
% 9.06/1.62
% 9.06/1.62 % (12902)Memory used [KB]: 7036
% 9.06/1.62 % (12902)Time elapsed: 0.265 s
% 9.06/1.62 % (12902)Instructions burned: 90 (million)
% 9.06/1.62 % (12902)------------------------------
% 9.06/1.62 % (12902)------------------------------
% 9.06/1.62 % (12906)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)
% 10.34/1.71 % (12907)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)
% 10.92/1.75 % (12908)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)
% 12.35/1.96 % (12870)Instruction limit reached!
% 12.35/1.96 % (12870)------------------------------
% 12.35/1.96 % (12870)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 12.35/1.96 % (12870)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 12.35/1.96 % (12870)Termination reason: Unknown
% 12.35/1.96 % (12870)Termination phase: Saturation
% 12.35/1.96
% 12.35/1.96 % (12870)Memory used [KB]: 17782
% 12.35/1.96 % (12870)Time elapsed: 1.281 s
% 12.35/1.96 % (12870)Instructions burned: 747 (million)
% 12.35/1.96 % (12870)------------------------------
% 12.35/1.96 % (12870)------------------------------
% 13.53/2.10 % (12909)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)
% 13.95/2.16 TRYING [6]
% 15.68/2.35 % (12874)Instruction limit reached!
% 15.68/2.35 % (12874)------------------------------
% 15.68/2.35 % (12874)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 15.68/2.35 % (12874)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 15.68/2.35 % (12874)Termination reason: Unknown
% 15.68/2.35 % (12874)Termination phase: Saturation
% 15.68/2.35
% 15.68/2.35 % (12874)Memory used [KB]: 20596
% 15.68/2.35 % (12874)Time elapsed: 1.666 s
% 15.68/2.35 % (12874)Instructions burned: 983 (million)
% 15.68/2.35 % (12874)------------------------------
% 15.68/2.35 % (12874)------------------------------
% 15.82/2.36 % (12883)First to succeed.
% 16.25/2.41 % (12873)Instruction limit reached!
% 16.25/2.41 % (12873)------------------------------
% 16.25/2.41 % (12873)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.25/2.41 % (12873)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.25/2.41 % (12873)Termination reason: Unknown
% 16.25/2.41 % (12873)Termination phase: Saturation
% 16.25/2.41
% 16.25/2.41 % (12873)Memory used [KB]: 14583
% 16.25/2.41 % (12873)Time elapsed: 1.762 s
% 16.25/2.41 % (12873)Instructions burned: 940 (million)
% 16.25/2.41 % (12873)------------------------------
% 16.25/2.41 % (12873)------------------------------
% 16.25/2.42 % (12883)Refutation found. Thanks to Tanya!
% 16.25/2.42 % SZS status Theorem for theBenchmark
% 16.25/2.42 % SZS output start Proof for theBenchmark
% See solution above
% 16.25/2.43 % (12883)------------------------------
% 16.25/2.43 % (12883)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 16.25/2.43 % (12883)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 16.25/2.43 % (12883)Termination reason: Refutation
% 16.25/2.43
% 16.25/2.43 % (12883)Memory used [KB]: 3709
% 16.25/2.43 % (12883)Time elapsed: 1.591 s
% 16.25/2.43 % (12883)Instructions burned: 1071 (million)
% 16.25/2.43 % (12883)------------------------------
% 16.25/2.43 % (12883)------------------------------
% 16.25/2.43 % (12813)Success in time 2.063 s
%------------------------------------------------------------------------------