TSTP Solution File: SWW649_2 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW649_2 : TPTP v8.2.0. Released v6.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:35:36 EDT 2024
% Result : Theorem 34.34s 5.33s
% Output : Refutation 34.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 339
% Syntax : Number of formulae : 1393 ( 114 unt; 0 typ; 0 def)
% Number of atoms : 3476 ( 705 equ)
% Maximal formula atoms : 26 ( 2 avg)
% Number of connectives : 3352 (1269 ~;1514 |; 199 &)
% ( 306 <=>; 64 =>; 0 <=; 0 <~>)
% Maximal formula depth : 26 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number arithmetic : 429 ( 58 atm; 140 fun; 214 num; 17 var)
% Number of types : 9 ( 7 usr; 1 ari)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 306 ( 302 usr; 300 prp; 0-3 aty)
% Number of functors : 54 ( 45 usr; 27 con; 0-5 aty)
% Number of variables : 836 ( 708 !; 128 ?; 836 :)
% Comments :
%------------------------------------------------------------------------------
tff(type_def_5,type,
uni: $tType ).
tff(type_def_6,type,
ty: $tType ).
tff(type_def_7,type,
bool: $tType ).
tff(type_def_8,type,
tuple0: $tType ).
tff(type_def_9,type,
a: $tType ).
tff(type_def_10,type,
option_a1: $tType ).
tff(type_def_11,type,
list_a1: $tType ).
tff(func_def_0,type,
witness: ty > uni ).
tff(func_def_1,type,
int: ty ).
tff(func_def_2,type,
real: ty ).
tff(func_def_3,type,
bool1: ty ).
tff(func_def_4,type,
true: bool ).
tff(func_def_5,type,
false: bool ).
tff(func_def_6,type,
match_bool: ( ty * bool * uni * uni ) > uni ).
tff(func_def_7,type,
tuple01: ty ).
tff(func_def_8,type,
tuple02: tuple0 ).
tff(func_def_9,type,
qtmark: ty ).
tff(func_def_12,type,
list: ty > ty ).
tff(func_def_13,type,
nil: ty > uni ).
tff(func_def_14,type,
cons: ( ty * uni * uni ) > uni ).
tff(func_def_15,type,
match_list: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_16,type,
cons_proj_1: ( ty * uni ) > uni ).
tff(func_def_17,type,
cons_proj_2: ( ty * uni ) > uni ).
tff(func_def_18,type,
length: ( ty * uni ) > $int ).
tff(func_def_21,type,
infix_plpl: ( ty * uni * uni ) > uni ).
tff(func_def_22,type,
option: ty > ty ).
tff(func_def_23,type,
none: ty > uni ).
tff(func_def_24,type,
some: ( ty * uni ) > uni ).
tff(func_def_25,type,
match_option: ( ty * ty * uni * uni * uni ) > uni ).
tff(func_def_26,type,
some_proj_1: ( ty * uni ) > uni ).
tff(func_def_27,type,
nth: ( ty * $int * uni ) > uni ).
tff(func_def_29,type,
a1: ty ).
tff(func_def_30,type,
t2tb: a > uni ).
tff(func_def_31,type,
tb2t: uni > a ).
tff(func_def_32,type,
t2tb4: option_a1 > uni ).
tff(func_def_33,type,
tb2t4: uni > option_a1 ).
tff(func_def_34,type,
t2tb3: list_a1 > uni ).
tff(func_def_35,type,
tb2t3: uni > list_a1 ).
tff(func_def_37,type,
sK0: ( uni * ty * uni ) > uni ).
tff(func_def_38,type,
sK1: ( uni * ty * uni ) > uni ).
tff(func_def_39,type,
sK2: list_a1 ).
tff(func_def_40,type,
sK3: list_a1 ).
tff(func_def_41,type,
sK4: a ).
tff(func_def_42,type,
sK5: list_a1 ).
tff(func_def_43,type,
sK6: a ).
tff(func_def_44,type,
sK7: list_a1 ).
tff(func_def_45,type,
sK8: list_a1 ).
tff(func_def_46,type,
sK9: a ).
tff(func_def_47,type,
sK10: list_a1 ).
tff(func_def_48,type,
sK11: list_a1 ).
tff(func_def_49,type,
sK12: list_a1 ).
tff(func_def_50,type,
sK13: a ).
tff(pred_def_1,type,
sort: ( ty * uni ) > $o ).
tff(pred_def_3,type,
mem: ( ty * uni * uni ) > $o ).
tff(pred_def_5,type,
pal: ( ty * uni * $int ) > $o ).
tff(f17178,plain,
$false,
inference(avatar_smt_refutation,[],[f292,f297,f302,f307,f312,f317,f322,f327,f332,f337,f342,f358,f363,f368,f373,f378,f394,f404,f410,f422,f440,f464,f484,f489,f494,f499,f513,f518,f523,f532,f537,f562,f567,f719,f725,f731,f737,f822,f827,f832,f837,f913,f918,f923,f928,f1041,f1128,f1134,f1143,f1150,f1395,f1409,f1569,f1576,f1582,f1587,f1592,f1678,f1683,f1688,f1693,f1698,f1848,f1853,f1858,f1863,f1869,f1874,f1879,f1913,f2098,f2133,f2286,f2342,f2347,f2360,f2396,f2501,f2506,f2512,f2581,f2586,f2591,f2650,f2655,f2714,f2719,f2726,f2733,f2812,f2819,f2863,f2869,f2984,f2989,f3116,f3121,f3474,f3483,f3538,f3543,f3585,f3590,f3602,f3603,f3630,f3719,f3720,f3799,f3803,f3837,f3841,f4267,f4360,f4365,f4376,f4463,f4469,f4490,f4495,f4522,f4528,f4610,f4618,f4632,f4640,f4720,f4725,f4778,f4784,f4806,f4811,f4816,f5081,f5086,f5364,f5371,f5457,f5520,f5815,f5820,f5932,f5971,f5977,f6000,f6035,f6040,f6122,f6127,f6132,f6137,f6142,f6147,f6152,f6157,f6162,f6167,f6172,f6177,f6182,f6187,f6208,f6213,f6214,f6402,f6423,f6428,f6573,f6653,f6658,f6753,f6760,f6858,f6874,f6881,f6886,f6894,f6935,f7168,f7175,f7257,f7258,f7310,f7316,f7321,f7326,f7485,f7490,f7495,f7500,f7548,f7555,f7566,f7567,f7628,f7630,f7632,f7637,f7644,f7646,f7651,f7653,f7661,f7663,f7666,f7668,f7670,f7678,f7683,f7685,f7691,f7697,f7702,f7705,f7709,f7718,f7724,f7727,f7730,f7733,f7749,f7930,f7935,f7940,f7942,f7947,f7952,f7954,f7956,f7961,f7966,f7971,f7976,f7977,f7979,f8083,f8088,f8566,f8571,f8613,f8618,f8635,f9598,f9603,f9608,f9702,f9798,f9803,f9808,f9906,f9911,f9916,f10026,f10031,f10036,f10041,f10046,f10241,f10345,f10350,f10617,f10622,f10627,f10736,f10741,f10746,f10751,f10876,f10881,f10886,f10891,f10896,f11016,f11021,f11026,f11031,f11036,f11220,f11225,f11230,f11235,f11240,f11350,f11355,f11360,f11365,f11370,f11398,f11403,f11522,f11627,f11632,f11637,f11642,f11647,f11754,f11759,f11764,f11769,f11774,f11883,f11888,f11893,f11898,f11903,f12014,f12019,f12024,f12029,f12034,f12223,f12228,f12233,f12238,f12243,f12273,f12278,f12310,f12315,f12349,f14179,f15335,f15637,f17166,f17177]) ).
tff(f17177,plain,
( ~ spl14_13
| ~ spl14_298 ),
inference(avatar_contradiction_clause,[],[f17176]) ).
tff(f17176,plain,
( $false
| ~ spl14_13
| ~ spl14_298 ),
inference(subsumption_resolution,[],[f17175,f200]) ).
tff(f200,plain,
! [X0: list_a1] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(cnf_transformation,[],[f115]) ).
tff(f115,plain,
! [X0: list_a1] : ( tb2t3(t2tb3(X0)) = X0 ),
inference(rectify,[],[f55]) ).
tff(f55,axiom,
! [X17: list_a1] : ( tb2t3(t2tb3(X17)) = X17 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f17175,plain,
( ( sK3 != tb2t3(t2tb3(sK3)) )
| ~ spl14_13
| ~ spl14_298 ),
inference(superposition,[],[f17161,f362]) ).
tff(f362,plain,
( ( t2tb3(sK3) = cons(a1,t2tb(sK13),t2tb3(sK8)) )
| ~ spl14_13 ),
inference(avatar_component_clause,[],[f360]) ).
tff(f360,plain,
( spl14_13
<=> ( t2tb3(sK3) = cons(a1,t2tb(sK13),t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_13])]) ).
tff(f17161,plain,
( ! [X0: uni] : ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK8))) )
| ~ spl14_298 ),
inference(avatar_component_clause,[],[f17160]) ).
tff(f17160,plain,
( spl14_298
<=> ! [X0: uni] : ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_298])]) ).
tff(f17166,plain,
( spl14_298
| ~ spl14_299
| ~ spl14_7
| ~ spl14_14
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f17158,f375,f365,f319,f17163,f17160]) ).
tff(f17163,plain,
( spl14_299
<=> ( length(a1,t2tb3(sK2)) = $sum(2,length(a1,t2tb3(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_299])]) ).
tff(f319,plain,
( spl14_7
<=> ( length(a1,t2tb3(sK7)) = length(a1,t2tb3(sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_7])]) ).
tff(f365,plain,
( spl14_14
<=> ( t2tb3(sK8) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_14])]) ).
tff(f375,plain,
( spl14_16
<=> ( t2tb3(sK10) = cons(a1,t2tb(sK13),t2tb3(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_16])]) ).
tff(f17158,plain,
( ! [X0: uni] :
( ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK8))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,t2tb3(sK7))) ) )
| ~ spl14_7
| ~ spl14_14
| ~ spl14_16 ),
inference(forward_demodulation,[],[f17154,f321]) ).
tff(f321,plain,
( ( length(a1,t2tb3(sK7)) = length(a1,t2tb3(sK11)) )
| ~ spl14_7 ),
inference(avatar_component_clause,[],[f319]) ).
tff(f17154,plain,
( ! [X0: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,t2tb3(sK11))) )
| ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK8))) ) )
| ~ spl14_14
| ~ spl14_16 ),
inference(superposition,[],[f14511,f367]) ).
tff(f367,plain,
( ( t2tb3(sK8) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK10)) )
| ~ spl14_14 ),
inference(avatar_component_clause,[],[f365]) ).
tff(f14511,plain,
( ! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK10)))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,X1)) ) )
| ~ spl14_16 ),
inference(superposition,[],[f12917,f377]) ).
tff(f377,plain,
( ( t2tb3(sK10) = cons(a1,t2tb(sK13),t2tb3(sK12)) )
| ~ spl14_16 ),
inference(avatar_component_clause,[],[f375]) ).
tff(f12917,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,cons(a1,X2,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,X1)) ) ),
inference(evaluation,[],[f12916]) ).
tff(f12916,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,cons(a1,X2,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != $sum($sum(1,length(a1,X1)),1) ) ),
inference(forward_demodulation,[],[f12912,f231]) ).
tff(f231,plain,
! [X2: uni,X0: ty,X1: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) ),
inference(cnf_transformation,[],[f20]) ).
tff(f20,axiom,
! [X0: ty] :
( ( 0 = length(X0,nil(X0)) )
& ! [X1: uni,X2: uni] : ( length(X0,cons(X0,X1,X2)) = $sum(1,length(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f12912,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(length(a1,cons(a1,X0,X1)),1) )
| ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,cons(a1,X2,t2tb3(sK12))))) ) ),
inference(superposition,[],[f12325,f196]) ).
tff(f196,plain,
! [X2: uni,X3: uni,X0: uni,X1: ty] : ( infix_plpl(X1,cons(X1,X2,X3),X0) = cons(X1,X2,infix_plpl(X1,X3,X0)) ),
inference(cnf_transformation,[],[f111]) ).
tff(f111,plain,
! [X0: uni,X1: ty] :
( ! [X2: uni,X3: uni] : ( infix_plpl(X1,cons(X1,X2,X3),X0) = cons(X1,X2,infix_plpl(X1,X3,X0)) )
& ( infix_plpl(X1,nil(X1),X0) = X0 ) ),
inference(rectify,[],[f24]) ).
tff(f24,axiom,
! [X13: uni,X0: ty] :
( ( infix_plpl(X0,nil(X0),X13) = X13 )
& ! [X1: uni,X2: uni] : ( infix_plpl(X0,cons(X0,X1,X2),X13) = cons(X0,X1,infix_plpl(X0,X2,X13)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f12325,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != $sum(length(a1,X0),1) ) ),
inference(evaluation,[],[f12324]) ).
tff(f12324,plain,
! [X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(length(a1,X0),$sum(1,0)) )
| ( sK3 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,t2tb3(sK12)))) ) ),
inference(forward_demodulation,[],[f12316,f274]) ).
tff(f274,plain,
! [X0: ty] : ( 0 = length(X0,nil(X0)) ),
inference(equality_resolution,[],[f264]) ).
tff(f264,plain,
! [X0: ty,X1: uni] :
( ( 0 = length(X0,X1) )
| ( nil(X0) != X1 ) ),
inference(cnf_transformation,[],[f189]) ).
tff(f189,plain,
! [X0: ty,X1: uni] :
( ( ( nil(X0) = X1 )
| ( 0 != length(X0,X1) ) )
& ( ( 0 = length(X0,X1) )
| ( nil(X0) != X1 ) ) ),
inference(rectify,[],[f188]) ).
tff(f188,plain,
! [X1: ty,X0: uni] :
( ( ( nil(X1) = X0 )
| ( 0 != length(X1,X0) ) )
& ( ( 0 = length(X1,X0) )
| ( nil(X1) != X0 ) ) ),
inference(nnf_transformation,[],[f83]) ).
tff(f83,plain,
! [X1: ty,X0: uni] :
( ( nil(X1) = X0 )
<=> ( 0 = length(X1,X0) ) ),
inference(rectify,[],[f22]) ).
tff(f22,axiom,
! [X12: uni,X0: ty] :
( ( 0 = length(X0,X12) )
<=> ( nil(X0) = X12 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f12316,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X0,cons(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != $sum(length(a1,X0),$sum(1,length(a1,nil(a1)))) ) ),
inference(superposition,[],[f8588,f195]) ).
tff(f195,plain,
! [X0: uni,X1: ty] : ( infix_plpl(X1,nil(X1),X0) = X0 ),
inference(cnf_transformation,[],[f111]) ).
tff(f8588,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X2,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != $sum(length(a1,X2),$sum(1,length(a1,X1))) ) ),
inference(forward_demodulation,[],[f8587,f1018]) ).
tff(f1018,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] : ( length(X0,infix_plpl(X0,X3,cons(X0,X1,X2))) = $sum(length(X0,X3),$sum(1,length(X0,X2))) ),
inference(superposition,[],[f194,f231]) ).
tff(f194,plain,
! [X2: uni,X0: ty,X1: uni] : ( length(X0,infix_plpl(X0,X2,X1)) = $sum(length(X0,X2),length(X0,X1)) ),
inference(cnf_transformation,[],[f147]) ).
tff(f147,plain,
! [X0: ty,X1: uni,X2: uni] : ( length(X0,infix_plpl(X0,X2,X1)) = $sum(length(X0,X2),length(X0,X1)) ),
inference(rectify,[],[f77]) ).
tff(f77,plain,
! [X2: ty,X0: uni,X1: uni] : ( length(X2,infix_plpl(X2,X1,X0)) = $sum(length(X2,X1),length(X2,X0)) ),
inference(rectify,[],[f27]) ).
tff(f27,axiom,
! [X13: uni,X14: uni,X0: ty] : ( length(X0,infix_plpl(X0,X14,X13)) = $sum(length(X0,X14),length(X0,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f8587,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,X2,cons(a1,X0,X1))) )
| ( sK3 != tb2t3(infix_plpl(a1,X2,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) ) ),
inference(forward_demodulation,[],[f8575,f195]) ).
tff(f8575,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,X2,infix_plpl(a1,nil(a1),cons(a1,X0,X1)))) )
| ( sK3 != tb2t3(infix_plpl(a1,X2,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) ) ),
inference(superposition,[],[f3135,f195]) ).
tff(f3135,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X2,infix_plpl(a1,X3,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))))) )
| ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,X2,infix_plpl(a1,X3,cons(a1,X0,X1)))) ) ),
inference(superposition,[],[f1635,f196]) ).
tff(f1635,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X0,infix_plpl(a1,X1,infix_plpl(a1,X2,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,X0,infix_plpl(a1,X1,X2))) ) ),
inference(forward_demodulation,[],[f1633,f256]) ).
tff(f256,plain,
! [X2: ty,X3: uni,X0: uni,X1: uni] : ( infix_plpl(X2,X3,infix_plpl(X2,X1,X0)) = infix_plpl(X2,infix_plpl(X2,X3,X1),X0) ),
inference(cnf_transformation,[],[f183]) ).
tff(f183,plain,
! [X0: uni,X1: uni,X2: ty,X3: uni] : ( infix_plpl(X2,X3,infix_plpl(X2,X1,X0)) = infix_plpl(X2,infix_plpl(X2,X3,X1),X0) ),
inference(rectify,[],[f105]) ).
tff(f105,plain,
! [X0: uni,X2: uni,X3: ty,X1: uni] : ( infix_plpl(X3,X1,infix_plpl(X3,X2,X0)) = infix_plpl(X3,infix_plpl(X3,X1,X2),X0) ),
inference(rectify,[],[f25]) ).
tff(f25,axiom,
! [X15: uni,X14: uni,X13: uni,X0: ty] : ( infix_plpl(X0,X14,infix_plpl(X0,X13,X15)) = infix_plpl(X0,infix_plpl(X0,X14,X13),X15) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1633,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,X0,infix_plpl(a1,X1,X2))) )
| ( sK3 != tb2t3(infix_plpl(a1,infix_plpl(a1,X0,X1),infix_plpl(a1,X2,t2tb3(sK12)))) ) ),
inference(superposition,[],[f1443,f256]) ).
tff(f1443,plain,
! [X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,X0,X1)) )
| ( sK3 != tb2t3(infix_plpl(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))) ) ),
inference(superposition,[],[f353,f256]) ).
tff(f353,plain,
! [X0: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X0,t2tb3(sK12))) )
| ( length(a1,t2tb3(sK2)) != length(a1,X0) ) ),
inference(superposition,[],[f214,f202]) ).
tff(f202,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(cnf_transformation,[],[f91]) ).
tff(f91,plain,
! [X0: uni] : ( t2tb3(tb2t3(X0)) = X0 ),
inference(rectify,[],[f56]) ).
tff(f56,axiom,
! [X18: uni] : ( t2tb3(tb2t3(X18)) = X18 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f214,plain,
! [X12: list_a1] :
( ( sK3 != tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK12))) )
| ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) ) ),
inference(cnf_transformation,[],[f162]) ).
tff(f162,plain,
( ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK2)))
& ( sK2 = tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) )
& ~ $less(length(a1,t2tb3(sK8)),length(a1,t2tb3(sK7)))
& ( length(a1,t2tb3(sK7)) = length(a1,t2tb3(sK11)) )
& ( sK8 = tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))) )
& pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7)))
& ( sK9 = sK13 )
& ( tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) = tb2t4(some(a1,t2tb(sK13))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( sK3 != tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK12))) ) )
& ( sK10 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK12))) )
& ( sK3 = tb2t3(cons(a1,t2tb(sK9),t2tb3(sK8))) )
& ( sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK2,sK3,sK4,sK5,sK6,sK7,sK8,sK9,sK10,sK11,sK12,sK13])],[f154,f161,f160,f159,f158,f157,f156,f155]) ).
tff(f155,plain,
( ? [X0: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))
& ? [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 )
& ? [X4: a,X5: list_a1] :
( ? [X6: list_a1,X7: a] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X5)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(X5)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X5)))
& ? [X10: list_a1,X11: a] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X0)) != length(a1,t2tb3(X12)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != X1 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 ) )
& ( tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3 ) ) ) )
=> ( ~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK2)))
& ? [X3: list_a1,X2: a] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = sK2 )
& ? [X5: list_a1,X4: a] :
( ? [X7: a,X6: list_a1] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X5)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(X5)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X5)))
& ? [X11: a,X10: list_a1] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = sK3 ) )
& ( tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3 ) ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f156,plain,
( ? [X3: list_a1,X2: a] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = sK2 )
& ? [X5: list_a1,X4: a] :
( ? [X7: a,X6: list_a1] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X5)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(X5)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X5)))
& ? [X11: a,X10: list_a1] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = sK3 ) )
& ( tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3 ) ) )
=> ( ( sK2 = tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) )
& ? [X5: list_a1,X4: a] :
( ? [X7: a,X6: list_a1] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X5)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(X5)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X5)))
& ? [X11: a,X10: list_a1] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = sK3 ) )
& ( tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = sK5 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f157,plain,
( ? [X5: list_a1,X4: a] :
( ? [X7: a,X6: list_a1] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X5)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(X5)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X5)))
& ? [X11: a,X10: list_a1] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = sK3 ) )
& ( tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = sK5 ) )
=> ( ? [X7: a,X6: list_a1] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(sK7)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK7)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(sK7)))
& ? [X11: a,X10: list_a1] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = sK3 ) )
& ( sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f158,plain,
( ? [X7: a,X6: list_a1] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(sK7)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK7)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(sK7)))
& ? [X11: a,X10: list_a1] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = sK3 ) )
=> ( ~ $less(length(a1,t2tb3(sK8)),length(a1,t2tb3(sK7)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK7)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = sK8 ) )
& pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7)))
& ? [X11: a,X10: list_a1] :
( ( sK9 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( sK3 = tb2t3(cons(a1,t2tb(sK9),t2tb3(sK8))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f159,plain,
( ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK7)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = sK8 ) )
& pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7)))
& ? [X11: a,X10: list_a1] :
( ( sK9 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
=> ( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK7)) )
& ( sK8 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK10))) ) )
& pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7)))
& ? [X11: a,X10: list_a1] :
( ( sK9 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = sK10 ) ) ) ),
introduced(choice_axiom,[]) ).
tff(f160,plain,
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(sK7)) )
& ( sK8 = tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(sK10))) ) )
=> ( ( length(a1,t2tb3(sK7)) = length(a1,t2tb3(sK11)) )
& ( sK8 = tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f161,plain,
( ? [X11: a,X10: list_a1] :
( ( sK9 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != sK3 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = sK10 ) )
=> ( ( sK9 = sK13 )
& ( tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) = tb2t4(some(a1,t2tb(sK13))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X12)) != length(a1,t2tb3(sK2)) )
| ( sK3 != tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(sK12))) ) )
& ( sK10 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK12))) ) ) ),
introduced(choice_axiom,[]) ).
tff(f154,plain,
? [X0: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))
& ? [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 )
& ? [X4: a,X5: list_a1] :
( ? [X6: list_a1,X7: a] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X5)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X9)) = length(a1,t2tb3(X5)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X5)))
& ? [X10: list_a1,X11: a] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X0)) != length(a1,t2tb3(X12)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != X1 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 ) )
& ( tb2t3(cons(a1,t2tb(X4),t2tb3(X5))) = X3 ) ) ) ),
inference(rectify,[],[f119]) ).
tff(f119,plain,
? [X0: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))
& ? [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 )
& ? [X5: a,X4: list_a1] :
( ? [X6: list_a1,X7: a] :
( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X4)))
& ? [X8: list_a1] :
( ? [X9: list_a1] :
( ( length(a1,t2tb3(X4)) = length(a1,t2tb3(X9)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X4)))
& ? [X10: list_a1,X11: a] :
( ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) )
& ! [X12: list_a1] :
( ( length(a1,t2tb3(X0)) != length(a1,t2tb3(X12)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != X1 ) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) ) )
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 ) )
& ( tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X3 ) ) ) ),
inference(flattening,[],[f118]) ).
tff(f118,plain,
? [X1: list_a1,X0: list_a1] :
( ? [X2: a,X3: list_a1] :
( ? [X5: a,X4: list_a1] :
( ? [X7: a,X6: list_a1] :
( ? [X8: list_a1] :
( ? [X11: a,X10: list_a1] :
( ! [X12: list_a1] :
( ( length(a1,t2tb3(X0)) != length(a1,t2tb3(X12)) )
| ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) != X1 ) )
& ( X7 = X11 )
& ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) )
& ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 ) )
& pal(a1,t2tb3(X6),length(a1,t2tb3(X4)))
& ? [X9: list_a1] :
( ( length(a1,t2tb3(X4)) = length(a1,t2tb3(X9)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) ) )
& ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X4)))
& ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 ) )
& ( tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X3 ) )
& ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 ) )
& ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0))) ),
inference(ennf_transformation,[],[f71]) ).
tff(f71,plain,
~ ! [X1: list_a1,X0: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X0)))
=> ! [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X0 )
=> ! [X5: a,X4: list_a1] :
( ( tb2t3(cons(a1,t2tb(X5),t2tb3(X4))) = X3 )
=> ! [X7: a,X6: list_a1] :
( ( tb2t3(cons(a1,t2tb(X7),t2tb3(X6))) = X1 )
=> ( ~ $less(length(a1,t2tb3(X6)),length(a1,t2tb3(X4)))
=> ! [X8: list_a1] :
( ( pal(a1,t2tb3(X6),length(a1,t2tb3(X4)))
& ? [X9: list_a1] :
( ( length(a1,t2tb3(X4)) = length(a1,t2tb3(X9)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X9),t2tb3(X8))) = X6 ) ) )
=> ! [X11: a,X10: list_a1] :
( ( tb2t3(cons(a1,t2tb(X11),t2tb3(X10))) = X8 )
=> ( ( tb2t4(some(a1,t2tb(X11))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X0)),$uminus(1)),t2tb3(X1))) )
=> ( ( X7 = X11 )
=> ? [X12: list_a1] :
( ( length(a1,t2tb3(X0)) = length(a1,t2tb3(X12)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X12),t2tb3(X10))) = X1 ) ) ) ) ) ) ) ) ) ) ),
inference(rectify,[],[f59]) ).
tff(f59,plain,
~ ! [X7: list_a1,X1: list_a1] :
( ~ $less(length(a1,t2tb3(X1)),length(a1,t2tb3(X7)))
=> ! [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X7 )
=> ! [X20: list_a1,X19: a] :
( ( tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X3 )
=> ! [X22: list_a1,X21: a] :
( ( tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X1 )
=> ( ~ $less(length(a1,t2tb3(X22)),length(a1,t2tb3(X20)))
=> ! [X23: list_a1] :
( ( ? [X24: list_a1] :
( ( length(a1,t2tb3(X20)) = length(a1,t2tb3(X24)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22 ) )
& pal(a1,t2tb3(X22),length(a1,t2tb3(X20))) )
=> ! [X26: list_a1,X25: a] :
( ( tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 )
=> ( ( tb2t4(some(a1,t2tb(X25))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(X7)),$uminus(1)),t2tb3(X1))) )
=> ( ( X21 = X25 )
=> ? [X24: list_a1] :
( ( length(a1,t2tb3(X7)) = length(a1,t2tb3(X24)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X1 ) ) ) ) ) ) ) ) ) ) ),
inference(theory_normalization,[],[f58]) ).
tff(f58,negated_conjecture,
~ ! [X7: list_a1,X1: list_a1] :
( $lesseq(length(a1,t2tb3(X7)),length(a1,t2tb3(X1)))
=> ! [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X7 )
=> ! [X20: list_a1,X19: a] :
( ( tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X3 )
=> ! [X22: list_a1,X21: a] :
( ( tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X1 )
=> ( $lesseq(length(a1,t2tb3(X20)),length(a1,t2tb3(X22)))
=> ! [X23: list_a1] :
( ( ? [X24: list_a1] :
( ( length(a1,t2tb3(X20)) = length(a1,t2tb3(X24)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22 ) )
& pal(a1,t2tb3(X22),length(a1,t2tb3(X20))) )
=> ! [X26: list_a1,X25: a] :
( ( tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 )
=> ( ( tb2t4(nth(a1,$difference(length(a1,t2tb3(X7)),1),t2tb3(X1))) = tb2t4(some(a1,t2tb(X25))) )
=> ( ( X21 = X25 )
=> ? [X24: list_a1] :
( ( length(a1,t2tb3(X7)) = length(a1,t2tb3(X24)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X1 ) ) ) ) ) ) ) ) ) ) ),
inference(negated_conjecture,[],[f57]) ).
tff(f57,conjecture,
! [X7: list_a1,X1: list_a1] :
( $lesseq(length(a1,t2tb3(X7)),length(a1,t2tb3(X1)))
=> ! [X2: a,X3: list_a1] :
( ( tb2t3(cons(a1,t2tb(X2),t2tb3(X3))) = X7 )
=> ! [X20: list_a1,X19: a] :
( ( tb2t3(cons(a1,t2tb(X19),t2tb3(X20))) = X3 )
=> ! [X22: list_a1,X21: a] :
( ( tb2t3(cons(a1,t2tb(X21),t2tb3(X22))) = X1 )
=> ( $lesseq(length(a1,t2tb3(X20)),length(a1,t2tb3(X22)))
=> ! [X23: list_a1] :
( ( ? [X24: list_a1] :
( ( length(a1,t2tb3(X20)) = length(a1,t2tb3(X24)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X23))) = X22 ) )
& pal(a1,t2tb3(X22),length(a1,t2tb3(X20))) )
=> ! [X26: list_a1,X25: a] :
( ( tb2t3(cons(a1,t2tb(X25),t2tb3(X26))) = X23 )
=> ( ( tb2t4(nth(a1,$difference(length(a1,t2tb3(X7)),1),t2tb3(X1))) = tb2t4(some(a1,t2tb(X25))) )
=> ( ( X21 = X25 )
=> ? [X24: list_a1] :
( ( length(a1,t2tb3(X7)) = length(a1,t2tb3(X24)) )
& ( tb2t3(infix_plpl(a1,t2tb3(X24),t2tb3(X26))) = X1 ) ) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f15637,plain,
( spl14_297
| ~ spl14_296 ),
inference(avatar_split_clause,[],[f15620,f15332,f15634]) ).
tff(f15634,plain,
( spl14_297
<=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,witness(a1),t2tb3(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_297])]) ).
tff(f15332,plain,
( spl14_296
<=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_296])]) ).
tff(f15620,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,witness(a1),t2tb3(sK3)))
| ~ spl14_296 ),
inference(unit_resulting_resolution,[],[f270,f263,f15334,f251]) ).
tff(f251,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( mem(X0,X1,cons(X0,X3,X2))
| ~ sort(X0,X1)
| ~ sort(X0,X3)
| ~ mem(X0,X1,X2) ),
inference(cnf_transformation,[],[f178]) ).
tff(f178,plain,
! [X0: ty,X1: uni] :
( ( ! [X2: uni,X3: uni] :
( ~ sort(X0,X3)
| ( ( mem(X0,X1,cons(X0,X3,X2))
| ( ~ mem(X0,X1,X2)
& ( X1 != X3 ) ) )
& ( mem(X0,X1,X2)
| ( X1 = X3 )
| ~ mem(X0,X1,cons(X0,X3,X2)) ) ) )
& ~ mem(X0,X1,nil(X0)) )
| ~ sort(X0,X1) ),
inference(rectify,[],[f177]) ).
tff(f177,plain,
! [X1: ty,X0: uni] :
( ( ! [X2: uni,X3: uni] :
( ~ sort(X1,X3)
| ( ( mem(X1,X0,cons(X1,X3,X2))
| ( ~ mem(X1,X0,X2)
& ( X0 != X3 ) ) )
& ( mem(X1,X0,X2)
| ( X0 = X3 )
| ~ mem(X1,X0,cons(X1,X3,X2)) ) ) )
& ~ mem(X1,X0,nil(X1)) )
| ~ sort(X1,X0) ),
inference(flattening,[],[f176]) ).
tff(f176,plain,
! [X1: ty,X0: uni] :
( ( ! [X2: uni,X3: uni] :
( ~ sort(X1,X3)
| ( ( mem(X1,X0,cons(X1,X3,X2))
| ( ~ mem(X1,X0,X2)
& ( X0 != X3 ) ) )
& ( mem(X1,X0,X2)
| ( X0 = X3 )
| ~ mem(X1,X0,cons(X1,X3,X2)) ) ) )
& ~ mem(X1,X0,nil(X1)) )
| ~ sort(X1,X0) ),
inference(nnf_transformation,[],[f121]) ).
tff(f121,plain,
! [X1: ty,X0: uni] :
( ( ! [X2: uni,X3: uni] :
( ~ sort(X1,X3)
| ( mem(X1,X0,cons(X1,X3,X2))
<=> ( mem(X1,X0,X2)
| ( X0 = X3 ) ) ) )
& ~ mem(X1,X0,nil(X1)) )
| ~ sort(X1,X0) ),
inference(ennf_transformation,[],[f112]) ).
tff(f112,plain,
! [X0: uni,X1: ty] :
( sort(X1,X0)
=> ( ! [X3: uni,X2: uni] :
( sort(X1,X3)
=> ( mem(X1,X0,cons(X1,X3,X2))
<=> ( mem(X1,X0,X2)
| ( X0 = X3 ) ) ) )
& ~ mem(X1,X0,nil(X1)) ) ),
inference(rectify,[],[f28]) ).
tff(f28,axiom,
! [X1: uni,X0: ty] :
( sort(X0,X1)
=> ( ! [X3: uni,X2: uni] :
( sort(X0,X2)
=> ( mem(X0,X1,cons(X0,X2,X3))
<=> ( mem(X0,X1,X3)
| ( X1 = X2 ) ) ) )
& ~ mem(X0,X1,nil(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f15334,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK3))
| ~ spl14_296 ),
inference(avatar_component_clause,[],[f15332]) ).
tff(f263,plain,
! [X0: uni,X1: ty] : sort(X1,cons_proj_1(X1,X0)),
inference(cnf_transformation,[],[f187]) ).
tff(f187,plain,
! [X0: uni,X1: ty] : sort(X1,cons_proj_1(X1,X0)),
inference(rectify,[],[f15]) ).
tff(f15,axiom,
! [X1: uni,X0: ty] : sort(X0,cons_proj_1(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f270,plain,
! [X0: ty] : sort(X0,witness(X0)),
inference(cnf_transformation,[],[f1]) ).
tff(f1,axiom,
! [X0: ty] : sort(X0,witness(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f15335,plain,
( spl14_296
| ~ spl14_13
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f15330,f7545,f360,f15332]) ).
tff(f7545,plain,
( spl14_194
<=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_194])]) ).
tff(f15330,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK3))
| ~ spl14_13
| ~ spl14_194 ),
inference(superposition,[],[f8595,f362]) ).
tff(f8595,plain,
( ! [X0: a] : mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,t2tb(X0),t2tb3(sK8)))
| ~ spl14_194 ),
inference(unit_resulting_resolution,[],[f244,f263,f7547,f251]) ).
tff(f7547,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK8))
| ~ spl14_194 ),
inference(avatar_component_clause,[],[f7545]) ).
tff(f244,plain,
! [X0: a] : sort(a1,t2tb(X0)),
inference(cnf_transformation,[],[f116]) ).
tff(f116,plain,
! [X0: a] : sort(a1,t2tb(X0)),
inference(rectify,[],[f48]) ).
tff(f48,axiom,
! [X1: a] : sort(a1,t2tb(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f14179,plain,
( ~ spl14_294
| ~ spl14_295
| ~ spl14_7
| ~ spl14_14
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f14170,f375,f365,f319,f14176,f14172]) ).
tff(f14172,plain,
( spl14_294
<=> ( length(a1,t2tb3(sK2)) = $sum(length(a1,t2tb3(sK7)),1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_294])]) ).
tff(f14176,plain,
( spl14_295
<=> ( sK3 = sK8 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_295])]) ).
tff(f14170,plain,
( ( length(a1,t2tb3(sK2)) != $sum(length(a1,t2tb3(sK7)),1) )
| ( sK3 != sK8 )
| ~ spl14_7
| ~ spl14_14
| ~ spl14_16 ),
inference(forward_demodulation,[],[f14169,f321]) ).
tff(f14169,plain,
( ( length(a1,t2tb3(sK2)) != $sum(length(a1,t2tb3(sK11)),1) )
| ( sK3 != sK8 )
| ~ spl14_14
| ~ spl14_16 ),
inference(forward_demodulation,[],[f14165,f200]) ).
tff(f14165,plain,
( ( sK3 != tb2t3(t2tb3(sK8)) )
| ( length(a1,t2tb3(sK2)) != $sum(length(a1,t2tb3(sK11)),1) )
| ~ spl14_14
| ~ spl14_16 ),
inference(superposition,[],[f12910,f367]) ).
tff(f12910,plain,
( ! [X0: uni] :
( ( sK3 != tb2t3(infix_plpl(a1,X0,t2tb3(sK10))) )
| ( length(a1,t2tb3(sK2)) != $sum(length(a1,X0),1) ) )
| ~ spl14_16 ),
inference(superposition,[],[f12325,f377]) ).
tff(f12349,plain,
( ~ spl14_293
| spl14_174
| spl14_185 ),
inference(avatar_split_clause,[],[f12330,f7254,f6425,f12346]) ).
tff(f12346,plain,
( spl14_293
<=> mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_293])]) ).
tff(f6425,plain,
( spl14_174
<=> ( t2tb3(sK8) = t2tb3(sK10) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_174])]) ).
tff(f7254,plain,
( spl14_185
<=> mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_185])]) ).
tff(f12330,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_174
| spl14_185 ),
inference(unit_resulting_resolution,[],[f237,f6426,f385,f7256,f249]) ).
tff(f249,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ~ mem(X0,X1,cons(X0,X3,X2))
| ( X1 = X3 )
| mem(X0,X1,X2)
| ~ sort(X0,X1)
| ~ sort(X0,X3) ),
inference(cnf_transformation,[],[f178]) ).
tff(f7256,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_185 ),
inference(avatar_component_clause,[],[f7254]) ).
tff(f385,plain,
! [X0: uni] : sort(list(a1),X0),
inference(superposition,[],[f237,f202]) ).
tff(f6426,plain,
( ( t2tb3(sK8) != t2tb3(sK10) )
| spl14_174 ),
inference(avatar_component_clause,[],[f6425]) ).
tff(f237,plain,
! [X0: list_a1] : sort(list(a1),t2tb3(X0)),
inference(cnf_transformation,[],[f67]) ).
tff(f67,plain,
! [X0: list_a1] : sort(list(a1),t2tb3(X0)),
inference(rectify,[],[f54]) ).
tff(f54,axiom,
! [X1: list_a1] : sort(list(a1),t2tb3(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f12315,plain,
( ~ spl14_292
| spl14_174
| spl14_184 ),
inference(avatar_split_clause,[],[f12282,f7172,f6425,f12312]) ).
tff(f12312,plain,
( spl14_292
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_292])]) ).
tff(f7172,plain,
( spl14_184
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_184])]) ).
tff(f12282,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1))))))
| spl14_174
| spl14_184 ),
inference(unit_resulting_resolution,[],[f237,f6426,f237,f7174,f249]) ).
tff(f7174,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| spl14_184 ),
inference(avatar_component_clause,[],[f7172]) ).
tff(f12310,plain,
( ~ spl14_291
| spl14_20
| spl14_184 ),
inference(avatar_split_clause,[],[f12285,f7172,f419,f12307]) ).
tff(f12307,plain,
( spl14_291
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_291])]) ).
tff(f419,plain,
( spl14_20
<=> ( t2tb3(sK10) = nil(a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_20])]) ).
tff(f12285,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1))))))
| spl14_20
| spl14_184 ),
inference(unit_resulting_resolution,[],[f260,f421,f445,f7174,f249]) ).
tff(f445,plain,
! [X0: ty,X1: uni] : sort(list(X0),X1),
inference(superposition,[],[f255,f195]) ).
tff(f255,plain,
! [X2: uni,X0: ty,X1: uni] : sort(list(X0),infix_plpl(X0,X2,X1)),
inference(cnf_transformation,[],[f182]) ).
tff(f182,plain,
! [X0: ty,X1: uni,X2: uni] : sort(list(X0),infix_plpl(X0,X2,X1)),
inference(rectify,[],[f87]) ).
tff(f87,plain,
! [X1: ty,X2: uni,X0: uni] : sort(list(X1),infix_plpl(X1,X0,X2)),
inference(rectify,[],[f23]) ).
tff(f23,axiom,
! [X1: uni,X0: ty,X2: uni] : sort(list(X0),infix_plpl(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f421,plain,
( ( t2tb3(sK10) != nil(a1) )
| spl14_20 ),
inference(avatar_component_clause,[],[f419]) ).
tff(f260,plain,
! [X0: ty] : sort(list(X0),nil(X0)),
inference(cnf_transformation,[],[f9]) ).
tff(f9,axiom,
! [X0: ty] : sort(list(X0),nil(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f12278,plain,
( ~ spl14_290
| spl14_174
| spl14_183 ),
inference(avatar_split_clause,[],[f12247,f7165,f6425,f12275]) ).
tff(f12275,plain,
( spl14_290
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_290])]) ).
tff(f7165,plain,
( spl14_183
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_183])]) ).
tff(f12247,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1))))))
| spl14_174
| spl14_183 ),
inference(unit_resulting_resolution,[],[f237,f6426,f237,f7167,f249]) ).
tff(f7167,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| spl14_183 ),
inference(avatar_component_clause,[],[f7165]) ).
tff(f12273,plain,
( ~ spl14_289
| spl14_20
| spl14_183 ),
inference(avatar_split_clause,[],[f12248,f7165,f419,f12270]) ).
tff(f12270,plain,
( spl14_289
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_289])]) ).
tff(f12248,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1))))))
| spl14_20
| spl14_183 ),
inference(unit_resulting_resolution,[],[f260,f421,f385,f7167,f249]) ).
tff(f12243,plain,
( ~ spl14_288
| spl14_18
| spl14_182 ),
inference(avatar_split_clause,[],[f12117,f6891,f401,f12240]) ).
tff(f12240,plain,
( spl14_288
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_288])]) ).
tff(f401,plain,
( spl14_18
<=> ( t2tb3(sK3) = nil(a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_18])]) ).
tff(f6891,plain,
( spl14_182
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_182])]) ).
tff(f12117,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_18
| spl14_182 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f6893,f249]) ).
tff(f6893,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_182 ),
inference(avatar_component_clause,[],[f6891]) ).
tff(f403,plain,
( ( t2tb3(sK3) != nil(a1) )
| spl14_18 ),
inference(avatar_component_clause,[],[f401]) ).
tff(f12238,plain,
( ~ spl14_287
| spl14_20
| spl14_182 ),
inference(avatar_split_clause,[],[f12135,f6891,f419,f12235]) ).
tff(f12235,plain,
( spl14_287
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_287])]) ).
tff(f12135,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_20
| spl14_182 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f6893,f249]) ).
tff(f12233,plain,
( ~ spl14_286
| spl14_30
| spl14_182 ),
inference(avatar_split_clause,[],[f12120,f6891,f525,f12230]) ).
tff(f12230,plain,
( spl14_286
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_286])]) ).
tff(f525,plain,
( spl14_30
<=> ( t2tb3(sK11) = nil(a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_30])]) ).
tff(f12120,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_30
| spl14_182 ),
inference(unit_resulting_resolution,[],[f237,f526,f260,f6893,f249]) ).
tff(f526,plain,
( ( t2tb3(sK11) != nil(a1) )
| spl14_30 ),
inference(avatar_component_clause,[],[f525]) ).
tff(f12228,plain,
( ~ spl14_285
| spl14_17
| spl14_182 ),
inference(avatar_split_clause,[],[f12134,f6891,f391,f12225]) ).
tff(f12225,plain,
( spl14_285
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_285])]) ).
tff(f391,plain,
( spl14_17
<=> ( t2tb3(sK5) = nil(a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_17])]) ).
tff(f12134,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_17
| spl14_182 ),
inference(unit_resulting_resolution,[],[f237,f393,f445,f6893,f249]) ).
tff(f393,plain,
( ( t2tb3(sK5) != nil(a1) )
| spl14_17 ),
inference(avatar_component_clause,[],[f391]) ).
tff(f12223,plain,
( ~ spl14_284
| spl14_19
| spl14_182 ),
inference(avatar_split_clause,[],[f12124,f6891,f407,f12220]) ).
tff(f12220,plain,
( spl14_284
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_284])]) ).
tff(f407,plain,
( spl14_19
<=> ( t2tb3(sK2) = nil(a1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_19])]) ).
tff(f12124,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_19
| spl14_182 ),
inference(unit_resulting_resolution,[],[f237,f409,f385,f6893,f249]) ).
tff(f409,plain,
( ( t2tb3(sK2) != nil(a1) )
| spl14_19 ),
inference(avatar_component_clause,[],[f407]) ).
tff(f12034,plain,
( ~ spl14_283
| spl14_20
| spl14_181 ),
inference(avatar_split_clause,[],[f11912,f6883,f419,f12031]) ).
tff(f12031,plain,
( spl14_283
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_283])]) ).
tff(f6883,plain,
( spl14_181
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_181])]) ).
tff(f11912,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_20
| spl14_181 ),
inference(unit_resulting_resolution,[],[f237,f421,f260,f6885,f249]) ).
tff(f6885,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_181 ),
inference(avatar_component_clause,[],[f6883]) ).
tff(f12029,plain,
( ~ spl14_282
| spl14_30
| spl14_181 ),
inference(avatar_split_clause,[],[f11929,f6883,f525,f12026]) ).
tff(f12026,plain,
( spl14_282
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_282])]) ).
tff(f11929,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_30
| spl14_181 ),
inference(unit_resulting_resolution,[],[f237,f526,f445,f6885,f249]) ).
tff(f12024,plain,
( ~ spl14_281
| spl14_19
| spl14_181 ),
inference(avatar_split_clause,[],[f11917,f6883,f407,f12021]) ).
tff(f12021,plain,
( spl14_281
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_281])]) ).
tff(f11917,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_19
| spl14_181 ),
inference(unit_resulting_resolution,[],[f237,f409,f385,f6885,f249]) ).
tff(f12019,plain,
( ~ spl14_280
| spl14_17
| spl14_181 ),
inference(avatar_split_clause,[],[f11919,f6883,f391,f12016]) ).
tff(f12016,plain,
( spl14_280
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_280])]) ).
tff(f11919,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_17
| spl14_181 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f6885,f249]) ).
tff(f12014,plain,
( ~ spl14_279
| spl14_18
| spl14_181 ),
inference(avatar_split_clause,[],[f11926,f6883,f401,f12011]) ).
tff(f12011,plain,
( spl14_279
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_279])]) ).
tff(f11926,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_18
| spl14_181 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f6885,f249]) ).
tff(f11903,plain,
( ~ spl14_278
| spl14_30
| spl14_180 ),
inference(avatar_split_clause,[],[f11792,f6878,f525,f11900]) ).
tff(f11900,plain,
( spl14_278
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_278])]) ).
tff(f6878,plain,
( spl14_180
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_180])]) ).
tff(f11792,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_30
| spl14_180 ),
inference(unit_resulting_resolution,[],[f237,f526,f385,f6880,f249]) ).
tff(f6880,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_180 ),
inference(avatar_component_clause,[],[f6878]) ).
tff(f11898,plain,
( ~ spl14_277
| spl14_20
| spl14_180 ),
inference(avatar_split_clause,[],[f11783,f6878,f419,f11895]) ).
tff(f11895,plain,
( spl14_277
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_277])]) ).
tff(f11783,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_20
| spl14_180 ),
inference(unit_resulting_resolution,[],[f237,f421,f260,f6880,f249]) ).
tff(f11893,plain,
( ~ spl14_276
| spl14_18
| spl14_180 ),
inference(avatar_split_clause,[],[f11781,f6878,f401,f11890]) ).
tff(f11890,plain,
( spl14_276
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_276])]) ).
tff(f11781,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_18
| spl14_180 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f6880,f249]) ).
tff(f11888,plain,
( ~ spl14_275
| spl14_17
| spl14_180 ),
inference(avatar_split_clause,[],[f11798,f6878,f391,f11885]) ).
tff(f11885,plain,
( spl14_275
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_275])]) ).
tff(f11798,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_17
| spl14_180 ),
inference(unit_resulting_resolution,[],[f237,f393,f445,f6880,f249]) ).
tff(f11883,plain,
( ~ spl14_274
| spl14_19
| spl14_180 ),
inference(avatar_split_clause,[],[f11796,f6878,f407,f11880]) ).
tff(f11880,plain,
( spl14_274
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_274])]) ).
tff(f11796,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_19
| spl14_180 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f6880,f249]) ).
tff(f11774,plain,
( ~ spl14_273
| spl14_19
| spl14_179 ),
inference(avatar_split_clause,[],[f11669,f6871,f407,f11771]) ).
tff(f11771,plain,
( spl14_273
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_273])]) ).
tff(f6871,plain,
( spl14_179
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_179])]) ).
tff(f11669,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_19
| spl14_179 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f6873,f249]) ).
tff(f6873,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_179 ),
inference(avatar_component_clause,[],[f6871]) ).
tff(f11769,plain,
( ~ spl14_272
| spl14_20
| spl14_179 ),
inference(avatar_split_clause,[],[f11664,f6871,f419,f11766]) ).
tff(f11766,plain,
( spl14_272
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_272])]) ).
tff(f11664,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_20
| spl14_179 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f6873,f249]) ).
tff(f11764,plain,
( ~ spl14_271
| spl14_18
| spl14_179 ),
inference(avatar_split_clause,[],[f11670,f6871,f401,f11761]) ).
tff(f11761,plain,
( spl14_271
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_271])]) ).
tff(f11670,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_18
| spl14_179 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f6873,f249]) ).
tff(f11759,plain,
( ~ spl14_270
| spl14_17
| spl14_179 ),
inference(avatar_split_clause,[],[f11655,f6871,f391,f11756]) ).
tff(f11756,plain,
( spl14_270
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_270])]) ).
tff(f11655,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_17
| spl14_179 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f6873,f249]) ).
tff(f11754,plain,
( ~ spl14_269
| spl14_30
| spl14_179 ),
inference(avatar_split_clause,[],[f11657,f6871,f525,f11751]) ).
tff(f11751,plain,
( spl14_269
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_269])]) ).
tff(f11657,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_30
| spl14_179 ),
inference(unit_resulting_resolution,[],[f237,f526,f260,f6873,f249]) ).
tff(f11647,plain,
( ~ spl14_268
| spl14_17
| spl14_178 ),
inference(avatar_split_clause,[],[f11538,f6855,f391,f11644]) ).
tff(f11644,plain,
( spl14_268
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_268])]) ).
tff(f6855,plain,
( spl14_178
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_178])]) ).
tff(f11538,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_17
| spl14_178 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f6857,f249]) ).
tff(f6857,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_178 ),
inference(avatar_component_clause,[],[f6855]) ).
tff(f11642,plain,
( ~ spl14_267
| spl14_20
| spl14_178 ),
inference(avatar_split_clause,[],[f11531,f6855,f419,f11639]) ).
tff(f11639,plain,
( spl14_267
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_267])]) ).
tff(f11531,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_20
| spl14_178 ),
inference(unit_resulting_resolution,[],[f237,f421,f260,f6857,f249]) ).
tff(f11637,plain,
( ~ spl14_266
| spl14_30
| spl14_178 ),
inference(avatar_split_clause,[],[f11540,f6855,f525,f11634]) ).
tff(f11634,plain,
( spl14_266
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_266])]) ).
tff(f11540,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_30
| spl14_178 ),
inference(unit_resulting_resolution,[],[f237,f526,f385,f6857,f249]) ).
tff(f11632,plain,
( ~ spl14_265
| spl14_18
| spl14_178 ),
inference(avatar_split_clause,[],[f11529,f6855,f401,f11629]) ).
tff(f11629,plain,
( spl14_265
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_265])]) ).
tff(f11529,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_18
| spl14_178 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f6857,f249]) ).
tff(f11627,plain,
( ~ spl14_264
| spl14_19
| spl14_178 ),
inference(avatar_split_clause,[],[f11544,f6855,f407,f11624]) ).
tff(f11624,plain,
( spl14_264
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_264])]) ).
tff(f11544,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_19
| spl14_178 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f6857,f249]) ).
tff(f11522,plain,
( ~ spl14_263
| spl14_30
| spl14_177 ),
inference(avatar_split_clause,[],[f11504,f6750,f525,f11519]) ).
tff(f11519,plain,
( spl14_263
<=> mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_263])]) ).
tff(f6750,plain,
( spl14_177
<=> mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_177])]) ).
tff(f11504,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_30
| spl14_177 ),
inference(unit_resulting_resolution,[],[f260,f526,f445,f6752,f249]) ).
tff(f6752,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_177 ),
inference(avatar_component_clause,[],[f6750]) ).
tff(f11403,plain,
( ~ spl14_262
| spl14_174
| spl14_176 ),
inference(avatar_split_clause,[],[f11378,f6655,f6425,f11400]) ).
tff(f11400,plain,
( spl14_262
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_262])]) ).
tff(f6655,plain,
( spl14_176
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_176])]) ).
tff(f11378,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_174
| spl14_176 ),
inference(unit_resulting_resolution,[],[f237,f6426,f445,f6657,f249]) ).
tff(f6657,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_176 ),
inference(avatar_component_clause,[],[f6655]) ).
tff(f11398,plain,
( ~ spl14_261
| spl14_20
| spl14_176 ),
inference(avatar_split_clause,[],[f11375,f6655,f419,f11395]) ).
tff(f11395,plain,
( spl14_261
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_261])]) ).
tff(f11375,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_20
| spl14_176 ),
inference(unit_resulting_resolution,[],[f260,f421,f385,f6657,f249]) ).
tff(f11370,plain,
( ~ spl14_260
| spl14_30
| spl14_164 ),
inference(avatar_split_clause,[],[f11257,f6169,f525,f11367]) ).
tff(f11367,plain,
( spl14_260
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_260])]) ).
tff(f6169,plain,
( spl14_164
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_164])]) ).
tff(f11257,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_30
| spl14_164 ),
inference(unit_resulting_resolution,[],[f237,f526,f260,f6171,f249]) ).
tff(f6171,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))
| spl14_164 ),
inference(avatar_component_clause,[],[f6169]) ).
tff(f11365,plain,
( ~ spl14_259
| spl14_19
| spl14_164 ),
inference(avatar_split_clause,[],[f11253,f6169,f407,f11362]) ).
tff(f11362,plain,
( spl14_259
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_259])]) ).
tff(f11253,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_19
| spl14_164 ),
inference(unit_resulting_resolution,[],[f237,f409,f260,f6171,f249]) ).
tff(f11360,plain,
( ~ spl14_258
| spl14_17
| spl14_164 ),
inference(avatar_split_clause,[],[f11263,f6169,f391,f11357]) ).
tff(f11357,plain,
( spl14_258
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_258])]) ).
tff(f11263,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_17
| spl14_164 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f6171,f249]) ).
tff(f11355,plain,
( ~ spl14_257
| spl14_18
| spl14_164 ),
inference(avatar_split_clause,[],[f11270,f6169,f401,f11352]) ).
tff(f11352,plain,
( spl14_257
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_257])]) ).
tff(f11270,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_164 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f6171,f249]) ).
tff(f11350,plain,
( ~ spl14_256
| spl14_20
| spl14_164 ),
inference(avatar_split_clause,[],[f11272,f6169,f419,f11347]) ).
tff(f11347,plain,
( spl14_256
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_256])]) ).
tff(f11272,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_20
| spl14_164 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f6171,f249]) ).
tff(f11240,plain,
( ~ spl14_255
| spl14_19
| spl14_160 ),
inference(avatar_split_clause,[],[f11141,f6149,f407,f11237]) ).
tff(f11237,plain,
( spl14_255
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_255])]) ).
tff(f6149,plain,
( spl14_160
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_160])]) ).
tff(f11141,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_19
| spl14_160 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f6151,f249]) ).
tff(f6151,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_160 ),
inference(avatar_component_clause,[],[f6149]) ).
tff(f11235,plain,
( ~ spl14_254
| spl14_18
| spl14_160 ),
inference(avatar_split_clause,[],[f11126,f6149,f401,f11232]) ).
tff(f11232,plain,
( spl14_254
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_254])]) ).
tff(f11126,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_18
| spl14_160 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f6151,f249]) ).
tff(f11230,plain,
( ~ spl14_253
| spl14_30
| spl14_160 ),
inference(avatar_split_clause,[],[f11145,f6149,f525,f11227]) ).
tff(f11227,plain,
( spl14_253
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_253])]) ).
tff(f11145,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_30
| spl14_160 ),
inference(unit_resulting_resolution,[],[f237,f526,f445,f6151,f249]) ).
tff(f11225,plain,
( ~ spl14_252
| spl14_17
| spl14_160 ),
inference(avatar_split_clause,[],[f11127,f6149,f391,f11222]) ).
tff(f11222,plain,
( spl14_252
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_252])]) ).
tff(f11127,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_17
| spl14_160 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f6151,f249]) ).
tff(f11220,plain,
( ~ spl14_251
| spl14_20
| spl14_160 ),
inference(avatar_split_clause,[],[f11128,f6149,f419,f11217]) ).
tff(f11217,plain,
( spl14_251
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_251])]) ).
tff(f11128,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_20
| spl14_160 ),
inference(unit_resulting_resolution,[],[f237,f421,f260,f6151,f249]) ).
tff(f11036,plain,
( ~ spl14_250
| spl14_19
| spl14_158 ),
inference(avatar_split_clause,[],[f10939,f6139,f407,f11033]) ).
tff(f11033,plain,
( spl14_250
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_250])]) ).
tff(f6139,plain,
( spl14_158
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_158])]) ).
tff(f10939,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_19
| spl14_158 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f6141,f249]) ).
tff(f6141,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))
| spl14_158 ),
inference(avatar_component_clause,[],[f6139]) ).
tff(f11031,plain,
( ~ spl14_249
| spl14_18
| spl14_158 ),
inference(avatar_split_clause,[],[f10940,f6139,f401,f11028]) ).
tff(f11028,plain,
( spl14_249
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_249])]) ).
tff(f10940,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_158 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f6141,f249]) ).
tff(f11026,plain,
( ~ spl14_248
| spl14_30
| spl14_158 ),
inference(avatar_split_clause,[],[f10927,f6139,f525,f11023]) ).
tff(f11023,plain,
( spl14_248
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_248])]) ).
tff(f10927,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_30
| spl14_158 ),
inference(unit_resulting_resolution,[],[f237,f526,f260,f6141,f249]) ).
tff(f11021,plain,
( ~ spl14_247
| spl14_17
| spl14_158 ),
inference(avatar_split_clause,[],[f10933,f6139,f391,f11018]) ).
tff(f11018,plain,
( spl14_247
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_247])]) ).
tff(f10933,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_17
| spl14_158 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f6141,f249]) ).
tff(f11016,plain,
( ~ spl14_246
| spl14_20
| spl14_158 ),
inference(avatar_split_clause,[],[f10942,f6139,f419,f11013]) ).
tff(f11013,plain,
( spl14_246
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_246])]) ).
tff(f10942,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_20
| spl14_158 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f6141,f249]) ).
tff(f10896,plain,
( ~ spl14_245
| spl14_30
| spl14_155 ),
inference(avatar_split_clause,[],[f10805,f6124,f525,f10893]) ).
tff(f10893,plain,
( spl14_245
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_245])]) ).
tff(f6124,plain,
( spl14_155
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_155])]) ).
tff(f10805,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_30
| spl14_155 ),
inference(unit_resulting_resolution,[],[f237,f526,f445,f6126,f249]) ).
tff(f6126,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| spl14_155 ),
inference(avatar_component_clause,[],[f6124]) ).
tff(f10891,plain,
( ~ spl14_244
| spl14_18
| spl14_155 ),
inference(avatar_split_clause,[],[f10794,f6124,f401,f10888]) ).
tff(f10888,plain,
( spl14_244
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_244])]) ).
tff(f10794,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_18
| spl14_155 ),
inference(unit_resulting_resolution,[],[f237,f403,f385,f6126,f249]) ).
tff(f10886,plain,
( ~ spl14_243
| spl14_20
| spl14_155 ),
inference(avatar_split_clause,[],[f10804,f6124,f419,f10883]) ).
tff(f10883,plain,
( spl14_243
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_243])]) ).
tff(f10804,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_20
| spl14_155 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f6126,f249]) ).
tff(f10881,plain,
( ~ spl14_242
| spl14_19
| spl14_155 ),
inference(avatar_split_clause,[],[f10801,f6124,f407,f10878]) ).
tff(f10878,plain,
( spl14_242
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_242])]) ).
tff(f10801,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_19
| spl14_155 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f6126,f249]) ).
tff(f10876,plain,
( ~ spl14_241
| spl14_17
| spl14_155 ),
inference(avatar_split_clause,[],[f10803,f6124,f391,f10873]) ).
tff(f10873,plain,
( spl14_241
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_241])]) ).
tff(f10803,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_155 ),
inference(unit_resulting_resolution,[],[f237,f393,f445,f6126,f249]) ).
tff(f10751,plain,
( ~ spl14_240
| spl14_17
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f10656,f419,f401,f391,f10748]) ).
tff(f10748,plain,
( spl14_240
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_240])]) ).
tff(f10656,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f2834,f249]) ).
tff(f2834,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_17
| spl14_20 ),
inference(forward_demodulation,[],[f2833,f195]) ).
tff(f2833,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),t2tb3(sK10),nil(list(X0))))))
| spl14_17
| spl14_20 ),
inference(forward_demodulation,[],[f2801,f196]) ).
tff(f2801,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),infix_plpl(list(X0),cons(list(X0),t2tb3(sK5),nil(list(X0))),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f1827,f1834,f242]) ).
tff(f242,plain,
! [X2: uni,X3: ty,X0: uni,X1: uni] :
( ~ mem(X3,X0,infix_plpl(X3,X1,X2))
| mem(X3,X0,X2)
| mem(X3,X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tff(f173,plain,
! [X0: uni,X1: uni,X2: uni,X3: ty] :
( ( mem(X3,X0,X1)
| mem(X3,X0,X2)
| ~ mem(X3,X0,infix_plpl(X3,X1,X2)) )
& ( mem(X3,X0,infix_plpl(X3,X1,X2))
| ( ~ mem(X3,X0,X1)
& ~ mem(X3,X0,X2) ) ) ),
inference(rectify,[],[f172]) ).
tff(f172,plain,
! [X0: uni,X3: uni,X2: uni,X1: ty] :
( ( mem(X1,X0,X3)
| mem(X1,X0,X2)
| ~ mem(X1,X0,infix_plpl(X1,X3,X2)) )
& ( mem(X1,X0,infix_plpl(X1,X3,X2))
| ( ~ mem(X1,X0,X3)
& ~ mem(X1,X0,X2) ) ) ),
inference(flattening,[],[f171]) ).
tff(f171,plain,
! [X0: uni,X3: uni,X2: uni,X1: ty] :
( ( mem(X1,X0,X3)
| mem(X1,X0,X2)
| ~ mem(X1,X0,infix_plpl(X1,X3,X2)) )
& ( mem(X1,X0,infix_plpl(X1,X3,X2))
| ( ~ mem(X1,X0,X3)
& ~ mem(X1,X0,X2) ) ) ),
inference(nnf_transformation,[],[f106]) ).
tff(f106,plain,
! [X0: uni,X3: uni,X2: uni,X1: ty] :
( ( mem(X1,X0,X3)
| mem(X1,X0,X2) )
<=> mem(X1,X0,infix_plpl(X1,X3,X2)) ),
inference(rectify,[],[f29]) ).
tff(f29,axiom,
! [X1: uni,X0: ty,X13: uni,X14: uni] :
( ( mem(X0,X1,X13)
| mem(X0,X1,X14) )
<=> mem(X0,X1,infix_plpl(X0,X14,X13)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f1834,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK10),nil(list(X0))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f421,f249]) ).
tff(f449,plain,
! [X0: ty,X1: uni] : ~ mem(list(X0),X1,nil(list(X0))),
inference(unit_resulting_resolution,[],[f445,f248]) ).
tff(f248,plain,
! [X0: ty,X1: uni] :
( ~ mem(X0,X1,nil(X0))
| ~ sort(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f1827,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),nil(list(X0))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f393,f249]) ).
tff(f10746,plain,
( ~ spl14_239
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f10662,f419,f391,f10743]) ).
tff(f10743,plain,
( spl14_239
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_239])]) ).
tff(f10662,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f2834,f249]) ).
tff(f10741,plain,
( ~ spl14_238
| spl14_17
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f10654,f419,f407,f391,f10738]) ).
tff(f10738,plain,
( spl14_238
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_238])]) ).
tff(f10654,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_17
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f409,f445,f2834,f249]) ).
tff(f10736,plain,
( ~ spl14_237
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f10660,f419,f391,f10733]) ).
tff(f10733,plain,
( spl14_237
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_237])]) ).
tff(f10660,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f393,f445,f2834,f249]) ).
tff(f10627,plain,
( ~ spl14_236
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f10536,f419,f407,f10624]) ).
tff(f10624,plain,
( spl14_236
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_236])]) ).
tff(f10536,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f2814,f249]) ).
tff(f2814,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK10),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_20 ),
inference(forward_demodulation,[],[f2813,f195]) ).
tff(f2813,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK10),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),t2tb3(sK10),nil(list(X0))))))
| spl14_20 ),
inference(forward_demodulation,[],[f2794,f196]) ).
tff(f2794,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),infix_plpl(list(X0),cons(list(X0),t2tb3(sK10),nil(list(X0))),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f1834,f1834,f242]) ).
tff(f10622,plain,
( ~ spl14_235
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f10543,f419,f391,f10619]) ).
tff(f10619,plain,
( spl14_235
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_235])]) ).
tff(f10543,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f393,f445,f2814,f249]) ).
tff(f10617,plain,
( ~ spl14_234
| spl14_20 ),
inference(avatar_split_clause,[],[f10546,f419,f10614]) ).
tff(f10614,plain,
( spl14_234
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_234])]) ).
tff(f10546,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f421,f445,f2814,f249]) ).
tff(f10350,plain,
( ~ spl14_233
| spl14_18
| spl14_20
| spl14_30 ),
inference(avatar_split_clause,[],[f10280,f525,f419,f401,f10347]) ).
tff(f10347,plain,
( spl14_233
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_233])]) ).
tff(f10280,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_18
| spl14_20
| spl14_30 ),
inference(unit_resulting_resolution,[],[f385,f526,f445,f2807,f249]) ).
tff(f2807,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_18
| spl14_20 ),
inference(forward_demodulation,[],[f2806,f195]) ).
tff(f2806,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),t2tb3(sK10),nil(list(X0))))))
| spl14_18
| spl14_20 ),
inference(forward_demodulation,[],[f2800,f196]) ).
tff(f2800,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),infix_plpl(list(X0),cons(list(X0),t2tb3(sK3),nil(list(X0))),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f1820,f1834,f242]) ).
tff(f1820,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),nil(list(X0))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f403,f249]) ).
tff(f10345,plain,
( ~ spl14_232
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f10260,f419,f401,f10342]) ).
tff(f10342,plain,
( spl14_232
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_232])]) ).
tff(f10260,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f403,f385,f2807,f249]) ).
tff(f10241,plain,
( ~ spl14_231
| spl14_19
| spl14_20
| spl14_30 ),
inference(avatar_split_clause,[],[f10161,f525,f419,f407,f10238]) ).
tff(f10238,plain,
( spl14_231
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_231])]) ).
tff(f10161,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),nil(list(a1))))))
| spl14_19
| spl14_20
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f526,f385,f2805,f249]) ).
tff(f2805,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK2),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_19
| spl14_20 ),
inference(forward_demodulation,[],[f2804,f195]) ).
tff(f2804,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK2),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),t2tb3(sK10),nil(list(X0))))))
| spl14_19
| spl14_20 ),
inference(forward_demodulation,[],[f2799,f196]) ).
tff(f2799,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),infix_plpl(list(X0),cons(list(X0),t2tb3(sK2),nil(list(X0))),cons(list(X0),t2tb3(sK10),nil(list(X0)))))
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f1813,f1834,f242]) ).
tff(f1813,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK2),nil(list(X0))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f409,f249]) ).
tff(f10046,plain,
( ~ spl14_230
| spl14_17
| spl14_19 ),
inference(avatar_split_clause,[],[f9944,f407,f391,f10043]) ).
tff(f10043,plain,
( spl14_230
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_230])]) ).
tff(f9944,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f409,f385,f2735,f249]) ).
tff(f2735,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),cons(list(X0),t2tb3(sK5),nil(list(X0)))))
| spl14_17 ),
inference(forward_demodulation,[],[f2734,f195]) ).
tff(f2734,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),t2tb3(sK5),nil(list(X0))))))
| spl14_17 ),
inference(forward_demodulation,[],[f2699,f196]) ).
tff(f2699,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),infix_plpl(list(X0),cons(list(X0),t2tb3(sK5),nil(list(X0))),cons(list(X0),t2tb3(sK5),nil(list(X0)))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f1827,f1827,f242]) ).
tff(f10041,plain,
( ~ spl14_229
| spl14_17 ),
inference(avatar_split_clause,[],[f9946,f391,f10038]) ).
tff(f10038,plain,
( spl14_229
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_229])]) ).
tff(f9946,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f2735,f249]) ).
tff(f10036,plain,
( ~ spl14_228
| spl14_17
| spl14_18 ),
inference(avatar_split_clause,[],[f9955,f401,f391,f10033]) ).
tff(f10033,plain,
( spl14_228
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_228])]) ).
tff(f9955,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_18 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f2735,f249]) ).
tff(f10031,plain,
( ~ spl14_227
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f9961,f419,f391,f10028]) ).
tff(f10028,plain,
( spl14_227
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_227])]) ).
tff(f9961,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f2735,f249]) ).
tff(f10026,plain,
( ~ spl14_226
| spl14_17
| spl14_30 ),
inference(avatar_split_clause,[],[f9940,f525,f391,f10023]) ).
tff(f10023,plain,
( spl14_226
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_226])]) ).
tff(f9940,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f526,f260,f2735,f249]) ).
tff(f9916,plain,
( ~ spl14_225
| spl14_17
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f9819,f419,f401,f391,f9913]) ).
tff(f9913,plain,
( spl14_225
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_225])]) ).
tff(f9819,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f2692,f249]) ).
tff(f2692,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK10),cons(list(X0),t2tb3(sK5),nil(list(X0)))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f445,f421,f445,f1827,f249]) ).
tff(f9911,plain,
( ~ spl14_224
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f9843,f419,f391,f9908]) ).
tff(f9908,plain,
( spl14_224
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_224])]) ).
tff(f9843,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f445,f2692,f249]) ).
tff(f9906,plain,
( ~ spl14_223
| spl14_17
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f9826,f419,f407,f391,f9903]) ).
tff(f9903,plain,
( spl14_223
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_223])]) ).
tff(f9826,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f409,f385,f2692,f249]) ).
tff(f9808,plain,
( ~ spl14_222
| spl14_17
| spl14_18
| spl14_30 ),
inference(avatar_split_clause,[],[f9724,f525,f401,f391,f9805]) ).
tff(f9805,plain,
( spl14_222
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_222])]) ).
tff(f9724,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f526,f385,f2686,f249]) ).
tff(f2686,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),cons(list(X0),t2tb3(sK5),nil(list(X0)))))
| spl14_17
| spl14_18 ),
inference(unit_resulting_resolution,[],[f445,f403,f445,f1827,f249]) ).
tff(f9803,plain,
( ~ spl14_221
| spl14_17
| spl14_18 ),
inference(avatar_split_clause,[],[f9732,f401,f391,f9800]) ).
tff(f9800,plain,
( spl14_221
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_221])]) ).
tff(f9732,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_18 ),
inference(unit_resulting_resolution,[],[f385,f403,f445,f2686,f249]) ).
tff(f9798,plain,
( ~ spl14_220
| spl14_17
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f9738,f419,f401,f391,f9795]) ).
tff(f9795,plain,
( spl14_220
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_220])]) ).
tff(f9738,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f421,f445,f2686,f249]) ).
tff(f9702,plain,
( ~ spl14_219
| spl14_17
| spl14_19
| spl14_30 ),
inference(avatar_split_clause,[],[f9630,f525,f407,f391,f9699]) ).
tff(f9699,plain,
( spl14_219
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_219])]) ).
tff(f9630,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),nil(list(a1))))))
| spl14_17
| spl14_19
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f526,f385,f2683,f249]) ).
tff(f2683,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK2),cons(list(X0),t2tb3(sK5),nil(list(X0)))))
| spl14_17
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f409,f445,f1827,f249]) ).
tff(f9608,plain,
( ~ spl14_218
| spl14_18 ),
inference(avatar_split_clause,[],[f9536,f401,f9605]) ).
tff(f9605,plain,
( spl14_218
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_218])]) ).
tff(f9536,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f385,f403,f445,f2593,f249]) ).
tff(f2593,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),cons(list(X0),t2tb3(sK3),nil(list(X0)))))
| spl14_18 ),
inference(forward_demodulation,[],[f2592,f195]) ).
tff(f2592,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),t2tb3(sK3),nil(list(X0))))))
| spl14_18 ),
inference(forward_demodulation,[],[f2572,f196]) ).
tff(f2572,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),infix_plpl(list(X0),cons(list(X0),t2tb3(sK3),nil(list(X0))),cons(list(X0),t2tb3(sK3),nil(list(X0)))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f1820,f1820,f242]) ).
tff(f9603,plain,
( ~ spl14_217
| spl14_18
| spl14_30 ),
inference(avatar_split_clause,[],[f9528,f525,f401,f9600]) ).
tff(f9600,plain,
( spl14_217
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_217])]) ).
tff(f9528,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f526,f385,f2593,f249]) ).
tff(f9598,plain,
( ~ spl14_216
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f9542,f419,f401,f9595]) ).
tff(f9595,plain,
( spl14_216
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_216])]) ).
tff(f9542,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f421,f445,f2593,f249]) ).
tff(f8635,plain,
( spl14_215
| ~ spl14_1 ),
inference(avatar_split_clause,[],[f8630,f289,f8632]) ).
tff(f8632,plain,
( spl14_215
<=> ( some(a1,t2tb(sK13)) = nth(a1,$sum(length(a1,t2tb3(sK2)),-1),t2tb3(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_215])]) ).
tff(f289,plain,
( spl14_1
<=> ( tb2t4(some(a1,t2tb(sK13))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),-1),t2tb3(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_1])]) ).
tff(f8630,plain,
( ( some(a1,t2tb(sK13)) = nth(a1,$sum(length(a1,t2tb3(sK2)),-1),t2tb3(sK3)) )
| ~ spl14_1 ),
inference(forward_demodulation,[],[f8625,f539]) ).
tff(f539,plain,
! [X0: uni] : ( some(a1,X0) = t2tb4(tb2t4(some(a1,X0))) ),
inference(unit_resulting_resolution,[],[f259,f268]) ).
tff(f268,plain,
! [X0: uni] :
( ~ sort(option(a1),X0)
| ( t2tb4(tb2t4(X0)) = X0 ) ),
inference(cnf_transformation,[],[f140]) ).
tff(f140,plain,
! [X0: uni] :
( ( t2tb4(tb2t4(X0)) = X0 )
| ~ sort(option(a1),X0) ),
inference(ennf_transformation,[],[f80]) ).
tff(f80,plain,
! [X0: uni] :
( sort(option(a1),X0)
=> ( t2tb4(tb2t4(X0)) = X0 ) ),
inference(rectify,[],[f53]) ).
tff(f53,axiom,
! [X18: uni] :
( sort(option(a1),X18)
=> ( t2tb4(tb2t4(X18)) = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f259,plain,
! [X0: uni,X1: ty] : sort(option(X1),some(X1,X0)),
inference(cnf_transformation,[],[f184]) ).
tff(f184,plain,
! [X0: uni,X1: ty] : sort(option(X1),some(X1,X0)),
inference(rectify,[],[f32]) ).
tff(f32,axiom,
! [X1: uni,X0: ty] : sort(option(X0),some(X0,X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f8625,plain,
( ( nth(a1,$sum(length(a1,t2tb3(sK2)),-1),t2tb3(sK3)) = t2tb4(tb2t4(some(a1,t2tb(sK13)))) )
| ~ spl14_1 ),
inference(superposition,[],[f550,f291]) ).
tff(f291,plain,
( ( tb2t4(some(a1,t2tb(sK13))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),-1),t2tb3(sK3))) )
| ~ spl14_1 ),
inference(avatar_component_clause,[],[f289]) ).
tff(f550,plain,
! [X0: $int,X1: uni] : ( nth(a1,X0,X1) = t2tb4(tb2t4(nth(a1,X0,X1))) ),
inference(resolution,[],[f268,f254]) ).
tff(f254,plain,
! [X2: ty,X0: uni,X1: $int] : sort(option(X2),nth(X2,X1,X0)),
inference(cnf_transformation,[],[f181]) ).
tff(f181,plain,
! [X0: uni,X1: $int,X2: ty] : sort(option(X2),nth(X2,X1,X0)),
inference(rectify,[],[f98]) ).
tff(f98,plain,
! [X0: uni,X2: $int,X1: ty] : sort(option(X1),nth(X1,X2,X0)),
inference(rectify,[],[f40]) ).
tff(f40,axiom,
! [X2: uni,X0: ty,X1: $int] : sort(option(X0),nth(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f8618,plain,
( spl14_214
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f8596,f7545,f8615]) ).
tff(f8615,plain,
( spl14_214
<=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,witness(a1),t2tb3(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_214])]) ).
tff(f8596,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,witness(a1),t2tb3(sK8)))
| ~ spl14_194 ),
inference(unit_resulting_resolution,[],[f270,f263,f7547,f251]) ).
tff(f8613,plain,
( spl14_213
| ~ spl14_194 ),
inference(avatar_split_clause,[],[f8606,f7545,f8610]) ).
tff(f8610,plain,
( spl14_213
<=> ( t2tb3(sK8) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK8)),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK1(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_213])]) ).
tff(f8606,plain,
( ( t2tb3(sK8) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK8)),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK1(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK8)))) )
| ~ spl14_194 ),
inference(resolution,[],[f7547,f203]) ).
tff(f203,plain,
! [X2: uni,X0: uni,X1: ty] :
( ~ mem(X1,X0,X2)
| ( infix_plpl(X1,sK0(X0,X1,X2),cons(X1,X0,sK1(X0,X1,X2))) = X2 ) ),
inference(cnf_transformation,[],[f151]) ).
tff(f151,plain,
! [X0: uni,X1: ty,X2: uni] :
( ~ mem(X1,X0,X2)
| ( sort(list(X1),sK1(X0,X1,X2))
& sort(list(X1),sK0(X0,X1,X2))
& ( infix_plpl(X1,sK0(X0,X1,X2),cons(X1,X0,sK1(X0,X1,X2))) = X2 ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1])],[f149,f150]) ).
tff(f150,plain,
! [X0: uni,X1: ty,X2: uni] :
( ? [X3: uni,X4: uni] :
( sort(list(X1),X4)
& sort(list(X1),X3)
& ( infix_plpl(X1,X3,cons(X1,X0,X4)) = X2 ) )
=> ( sort(list(X1),sK1(X0,X1,X2))
& sort(list(X1),sK0(X0,X1,X2))
& ( infix_plpl(X1,sK0(X0,X1,X2),cons(X1,X0,sK1(X0,X1,X2))) = X2 ) ) ),
introduced(choice_axiom,[]) ).
tff(f149,plain,
! [X0: uni,X1: ty,X2: uni] :
( ~ mem(X1,X0,X2)
| ? [X3: uni,X4: uni] :
( sort(list(X1),X4)
& sort(list(X1),X3)
& ( infix_plpl(X1,X3,cons(X1,X0,X4)) = X2 ) ) ),
inference(rectify,[],[f143]) ).
tff(f143,plain,
! [X1: uni,X0: ty,X2: uni] :
( ~ mem(X0,X1,X2)
| ? [X4: uni,X3: uni] :
( sort(list(X0),X3)
& sort(list(X0),X4)
& ( infix_plpl(X0,X4,cons(X0,X1,X3)) = X2 ) ) ),
inference(ennf_transformation,[],[f100]) ).
tff(f100,plain,
! [X1: uni,X0: ty,X2: uni] :
( mem(X0,X1,X2)
=> ? [X4: uni,X3: uni] :
( sort(list(X0),X3)
& sort(list(X0),X4)
& ( infix_plpl(X0,X4,cons(X0,X1,X3)) = X2 ) ) ),
inference(rectify,[],[f30]) ).
tff(f30,axiom,
! [X0: ty,X1: uni,X12: uni] :
( mem(X0,X1,X12)
=> ? [X13: uni,X14: uni] :
( sort(list(X0),X14)
& ( infix_plpl(X0,X14,cons(X0,X1,X13)) = X12 )
& sort(list(X0),X13) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f8571,plain,
( spl14_212
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f8549,f7552,f8568]) ).
tff(f8568,plain,
( spl14_212
<=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,witness(a1),t2tb3(sK11))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_212])]) ).
tff(f7552,plain,
( spl14_195
<=> mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK11)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_195])]) ).
tff(f8549,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),cons(a1,witness(a1),t2tb3(sK11)))
| ~ spl14_195 ),
inference(unit_resulting_resolution,[],[f270,f263,f7554,f251]) ).
tff(f7554,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK11))
| ~ spl14_195 ),
inference(avatar_component_clause,[],[f7552]) ).
tff(f8566,plain,
( spl14_211
| ~ spl14_195 ),
inference(avatar_split_clause,[],[f8559,f7552,f8563]) ).
tff(f8563,plain,
( spl14_211
<=> ( t2tb3(sK11) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK11)),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK1(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK11)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_211])]) ).
tff(f8559,plain,
( ( t2tb3(sK11) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK11)),cons(a1,cons_proj_1(a1,t2tb3(sK11)),sK1(cons_proj_1(a1,t2tb3(sK11)),a1,t2tb3(sK11)))) )
| ~ spl14_195 ),
inference(resolution,[],[f7554,f203]) ).
tff(f8088,plain,
( ~ spl14_210
| spl14_174 ),
inference(avatar_split_clause,[],[f8069,f6425,f8085]) ).
tff(f8085,plain,
( spl14_210
<=> mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_210])]) ).
tff(f8069,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),nil(list(a1))))
| spl14_174 ),
inference(unit_resulting_resolution,[],[f237,f445,f449,f6426,f249]) ).
tff(f8083,plain,
( ~ spl14_209
| spl14_174 ),
inference(avatar_split_clause,[],[f8075,f6425,f8080]) ).
tff(f8080,plain,
( spl14_209
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_209])]) ).
tff(f8075,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),nil(list(a1))))
| spl14_174 ),
inference(unit_resulting_resolution,[],[f237,f385,f449,f6426,f249]) ).
tff(f7979,plain,
( ~ spl14_31
| ~ spl14_7
| spl14_30 ),
inference(avatar_split_clause,[],[f7978,f525,f319,f529]) ).
tff(f529,plain,
( spl14_31
<=> ( 0 = length(a1,t2tb3(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_31])]) ).
tff(f7978,plain,
( ( 0 != length(a1,t2tb3(sK7)) )
| ~ spl14_7
| spl14_30 ),
inference(subsumption_resolution,[],[f6362,f526]) ).
tff(f6362,plain,
( ( t2tb3(sK11) = nil(a1) )
| ( 0 != length(a1,t2tb3(sK7)) )
| ~ spl14_7 ),
inference(superposition,[],[f265,f321]) ).
tff(f265,plain,
! [X0: ty,X1: uni] :
( ( 0 != length(X0,X1) )
| ( nil(X0) = X1 ) ),
inference(cnf_transformation,[],[f189]) ).
tff(f7977,plain,
( spl14_194
| spl14_30
| ~ spl14_14 ),
inference(avatar_split_clause,[],[f7536,f365,f525,f7545]) ).
tff(f7536,plain,
( ( t2tb3(sK11) = nil(a1) )
| mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK8))
| ~ spl14_14 ),
inference(resolution,[],[f1151,f809]) ).
tff(f809,plain,
( ! [X0: uni] :
( ~ mem(a1,X0,t2tb3(sK11))
| mem(a1,X0,t2tb3(sK8)) )
| ~ spl14_14 ),
inference(superposition,[],[f241,f367]) ).
tff(f241,plain,
! [X2: uni,X3: ty,X0: uni,X1: uni] :
( mem(X3,X0,infix_plpl(X3,X1,X2))
| ~ mem(X3,X0,X1) ),
inference(cnf_transformation,[],[f173]) ).
tff(f1151,plain,
! [X0: ty,X1: uni] :
( mem(X0,cons_proj_1(X0,X1),X1)
| ( nil(X0) = X1 ) ),
inference(subsumption_resolution,[],[f1120,f263]) ).
tff(f1120,plain,
! [X0: ty,X1: uni] :
( mem(X0,cons_proj_1(X0,X1),X1)
| ~ sort(X0,cons_proj_1(X0,X1))
| ( nil(X0) = X1 ) ),
inference(superposition,[],[f282,f261]) ).
tff(f261,plain,
! [X0: uni,X1: ty] :
( ( cons(X1,cons_proj_1(X1,X0),cons_proj_2(X1,X0)) = X0 )
| ( nil(X1) = X0 ) ),
inference(cnf_transformation,[],[f185]) ).
tff(f185,plain,
! [X0: uni,X1: ty] :
( ( cons(X1,cons_proj_1(X1,X0),cons_proj_2(X1,X0)) = X0 )
| ( nil(X1) = X0 ) ),
inference(rectify,[],[f89]) ).
tff(f89,plain,
! [X1: uni,X0: ty] :
( ( cons(X0,cons_proj_1(X0,X1),cons_proj_2(X0,X1)) = X1 )
| ( nil(X0) = X1 ) ),
inference(rectify,[],[f19]) ).
tff(f19,axiom,
! [X0: ty,X6: uni] :
( ( nil(X0) = X6 )
| ( cons(X0,cons_proj_1(X0,X6),cons_proj_2(X0,X6)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f282,plain,
! [X2: uni,X3: uni,X0: ty] :
( mem(X0,X3,cons(X0,X3,X2))
| ~ sort(X0,X3) ),
inference(duplicate_literal_removal,[],[f273]) ).
tff(f273,plain,
! [X2: uni,X3: uni,X0: ty] :
( ~ sort(X0,X3)
| mem(X0,X3,cons(X0,X3,X2))
| ~ sort(X0,X3) ),
inference(equality_resolution,[],[f250]) ).
tff(f250,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni] :
( ~ sort(X0,X3)
| mem(X0,X1,cons(X0,X3,X2))
| ( X1 != X3 )
| ~ sort(X0,X1) ),
inference(cnf_transformation,[],[f178]) ).
tff(f7976,plain,
( spl14_208
| ~ spl14_16
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f7750,f6425,f375,f7973]) ).
tff(f7973,plain,
( spl14_208
<=> ( t2tb3(sK8) = cons(a1,t2tb(sK13),t2tb3(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_208])]) ).
tff(f7750,plain,
( ( t2tb3(sK8) = cons(a1,t2tb(sK13),t2tb3(sK12)) )
| ~ spl14_16
| ~ spl14_174 ),
inference(backward_demodulation,[],[f377,f6427]) ).
tff(f6427,plain,
( ( t2tb3(sK8) = t2tb3(sK10) )
| ~ spl14_174 ),
inference(avatar_component_clause,[],[f6425]) ).
tff(f7971,plain,
( ~ spl14_207
| ~ spl14_174
| spl14_184 ),
inference(avatar_split_clause,[],[f7910,f7172,f6425,f7968]) ).
tff(f7968,plain,
( spl14_207
<=> mem(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_207])]) ).
tff(f7910,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| ~ spl14_174
| spl14_184 ),
inference(backward_demodulation,[],[f7174,f6427]) ).
tff(f7966,plain,
( spl14_206
| ~ spl14_174
| ~ spl14_188 ),
inference(avatar_split_clause,[],[f7921,f7318,f6425,f7963]) ).
tff(f7963,plain,
( spl14_206
<=> ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_206])]) ).
tff(f7318,plain,
( spl14_188
<=> ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_188])]) ).
tff(f7921,plain,
( ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK8)) )
| ~ spl14_174
| ~ spl14_188 ),
inference(backward_demodulation,[],[f7320,f6427]) ).
tff(f7320,plain,
( ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK10)) )
| ~ spl14_188 ),
inference(avatar_component_clause,[],[f7318]) ).
tff(f7961,plain,
( ~ spl14_205
| spl14_32
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f7752,f6425,f534,f7958]) ).
tff(f7958,plain,
( spl14_205
<=> ( 0 = length(a1,t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_205])]) ).
tff(f534,plain,
( spl14_32
<=> ( 0 = length(a1,t2tb3(sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_32])]) ).
tff(f7752,plain,
( ( 0 != length(a1,t2tb3(sK8)) )
| spl14_32
| ~ spl14_174 ),
inference(backward_demodulation,[],[f536,f6427]) ).
tff(f536,plain,
( ( 0 != length(a1,t2tb3(sK10)) )
| spl14_32 ),
inference(avatar_component_clause,[],[f534]) ).
tff(f7956,plain,
( ~ spl14_174
| spl14_176 ),
inference(avatar_contradiction_clause,[],[f7955]) ).
tff(f7955,plain,
( $false
| ~ spl14_174
| spl14_176 ),
inference(subsumption_resolution,[],[f7899,f698]) ).
tff(f698,plain,
! [X0: uni,X1: uni] : mem(list(a1),X0,cons(list(a1),X0,X1)),
inference(unit_resulting_resolution,[],[f385,f282]) ).
tff(f7899,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_174
| spl14_176 ),
inference(backward_demodulation,[],[f6657,f6427]) ).
tff(f7954,plain,
( ~ spl14_174
| spl14_175 ),
inference(avatar_contradiction_clause,[],[f7953]) ).
tff(f7953,plain,
( $false
| ~ spl14_174
| spl14_175 ),
inference(subsumption_resolution,[],[f7898,f698]) ).
tff(f7898,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))))
| ~ spl14_174
| spl14_175 ),
inference(backward_demodulation,[],[f6652,f6427]) ).
tff(f6652,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_175 ),
inference(avatar_component_clause,[],[f6650]) ).
tff(f6650,plain,
( spl14_175
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_175])]) ).
tff(f7952,plain,
( spl14_204
| ~ spl14_41
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f7757,f6425,f829,f7949]) ).
tff(f7949,plain,
( spl14_204
<=> ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_204])]) ).
tff(f829,plain,
( spl14_41
<=> ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_41])]) ).
tff(f7757,plain,
( ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK8)) )
| ~ spl14_41
| ~ spl14_174 ),
inference(backward_demodulation,[],[f831,f6427]) ).
tff(f831,plain,
( ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK10)) )
| ~ spl14_41 ),
inference(avatar_component_clause,[],[f829]) ).
tff(f7947,plain,
( spl14_203
| ~ spl14_44
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f7758,f6425,f915,f7944]) ).
tff(f7944,plain,
( spl14_203
<=> ( length(a1,t2tb3(sK8)) = $sum(1,length(a1,t2tb3(sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_203])]) ).
tff(f915,plain,
( spl14_44
<=> ( length(a1,t2tb3(sK10)) = $sum(1,length(a1,t2tb3(sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_44])]) ).
tff(f7758,plain,
( ( length(a1,t2tb3(sK8)) = $sum(1,length(a1,t2tb3(sK12))) )
| ~ spl14_44
| ~ spl14_174 ),
inference(backward_demodulation,[],[f917,f6427]) ).
tff(f917,plain,
( ( length(a1,t2tb3(sK10)) = $sum(1,length(a1,t2tb3(sK12))) )
| ~ spl14_44 ),
inference(avatar_component_clause,[],[f915]) ).
tff(f7942,plain,
( ~ spl14_174
| spl14_185 ),
inference(avatar_contradiction_clause,[],[f7941]) ).
tff(f7941,plain,
( $false
| ~ spl14_174
| spl14_185 ),
inference(subsumption_resolution,[],[f7920,f698]) ).
tff(f7920,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| ~ spl14_174
| spl14_185 ),
inference(backward_demodulation,[],[f7256,f6427]) ).
tff(f7940,plain,
( spl14_202
| ~ spl14_114
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f7840,f6425,f3716,f7937]) ).
tff(f7937,plain,
( spl14_202
<=> $less(0,length(a1,t2tb3(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_202])]) ).
tff(f3716,plain,
( spl14_114
<=> $less(0,length(a1,t2tb3(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_114])]) ).
tff(f7840,plain,
( $less(0,length(a1,t2tb3(sK8)))
| ~ spl14_114
| ~ spl14_174 ),
inference(backward_demodulation,[],[f3718,f6427]) ).
tff(f3718,plain,
( $less(0,length(a1,t2tb3(sK10)))
| ~ spl14_114 ),
inference(avatar_component_clause,[],[f3716]) ).
tff(f7935,plain,
( spl14_201
| ~ spl14_27
| ~ spl14_174 ),
inference(avatar_split_clause,[],[f7751,f6425,f496,f7932]) ).
tff(f7932,plain,
( spl14_201
<=> ( t2tb3(sK12) = cons_proj_2(a1,t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_201])]) ).
tff(f496,plain,
( spl14_27
<=> ( t2tb3(sK12) = cons_proj_2(a1,t2tb3(sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_27])]) ).
tff(f7751,plain,
( ( t2tb3(sK12) = cons_proj_2(a1,t2tb3(sK8)) )
| ~ spl14_27
| ~ spl14_174 ),
inference(backward_demodulation,[],[f498,f6427]) ).
tff(f498,plain,
( ( t2tb3(sK12) = cons_proj_2(a1,t2tb3(sK10)) )
| ~ spl14_27 ),
inference(avatar_component_clause,[],[f496]) ).
tff(f7930,plain,
( ~ spl14_174
| spl14_183 ),
inference(avatar_contradiction_clause,[],[f7929]) ).
tff(f7929,plain,
( $false
| ~ spl14_174
| spl14_183 ),
inference(subsumption_resolution,[],[f7909,f698]) ).
tff(f7909,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| ~ spl14_174
| spl14_183 ),
inference(backward_demodulation,[],[f7167,f6427]) ).
tff(f7749,plain,
( spl14_18
| ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7748]) ).
tff(f7748,plain,
( $false
| spl14_18
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7747,f698]) ).
tff(f7747,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_18
| ~ spl14_30
| spl14_162 ),
inference(forward_demodulation,[],[f6901,f527]) ).
tff(f527,plain,
( ( t2tb3(sK11) = nil(a1) )
| ~ spl14_30 ),
inference(avatar_component_clause,[],[f525]) ).
tff(f6901,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_18
| spl14_162 ),
inference(forward_demodulation,[],[f6900,f195]) ).
tff(f6900,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK3),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))))
| spl14_18
| spl14_162 ),
inference(forward_demodulation,[],[f6822,f196]) ).
tff(f6822,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),t2tb3(sK3),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_18
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1986,f6161,f242]) ).
tff(f6161,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))))
| spl14_162 ),
inference(avatar_component_clause,[],[f6159]) ).
tff(f6159,plain,
( spl14_162
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_162])]) ).
tff(f1986,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f1726,f249]) ).
tff(f1726,plain,
! [X2: uni,X0: ty,X1: uni] : ~ mem(list(X0),nil(X0),cons(list(X0),cons(X0,X1,X2),nil(list(X0)))),
inference(unit_resulting_resolution,[],[f192,f445,f395,f206,f249]) ).
tff(f206,plain,
! [X2: uni,X0: ty,X1: uni] : ( nil(X0) != cons(X0,X2,X1) ),
inference(cnf_transformation,[],[f152]) ).
tff(f152,plain,
! [X0: ty,X1: uni,X2: uni] : ( nil(X0) != cons(X0,X2,X1) ),
inference(rectify,[],[f68]) ).
tff(f68,plain,
! [X1: ty,X2: uni,X0: uni] : ( nil(X1) != cons(X1,X0,X2) ),
inference(rectify,[],[f14]) ).
tff(f14,axiom,
! [X10: uni,X0: ty,X11: uni] : ( nil(X0) != cons(X0,X10,X11) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f395,plain,
! [X0: ty] : ~ mem(list(X0),nil(X0),nil(list(X0))),
inference(unit_resulting_resolution,[],[f260,f248]) ).
tff(f192,plain,
! [X2: uni,X0: uni,X1: ty] : sort(list(X1),cons(X1,X2,X0)),
inference(cnf_transformation,[],[f145]) ).
tff(f145,plain,
! [X0: uni,X1: ty,X2: uni] : sort(list(X1),cons(X1,X2,X0)),
inference(rectify,[],[f74]) ).
tff(f74,plain,
! [X1: uni,X0: ty,X2: uni] : sort(list(X0),cons(X0,X2,X1)),
inference(rectify,[],[f10]) ).
tff(f10,axiom,
! [X0: ty,X2: uni,X1: uni] : sort(list(X0),cons(X0,X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f7733,plain,
( ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7732]) ).
tff(f7732,plain,
( $false
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7731,f698]) ).
tff(f7731,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| ~ spl14_30
| spl14_162 ),
inference(forward_demodulation,[],[f6862,f527]) ).
tff(f6862,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_162 ),
inference(forward_demodulation,[],[f6861,f195]) ).
tff(f6861,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_162 ),
inference(forward_demodulation,[],[f6816,f196]) ).
tff(f6816,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1737,f6161,f242]) ).
tff(f1737,plain,
! [X2: uni,X3: uni,X0: ty,X1: ty] : ~ mem(list(X0),nil(X1),cons(list(X0),cons(X1,X2,X3),nil(list(X0)))),
inference(unit_resulting_resolution,[],[f445,f445,f449,f206,f249]) ).
tff(f7730,plain,
( ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7729]) ).
tff(f7729,plain,
( $false
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7728,f698]) ).
tff(f7728,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| ~ spl14_30
| spl14_162 ),
inference(forward_demodulation,[],[f6919,f527]) ).
tff(f6919,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_162 ),
inference(forward_demodulation,[],[f6918,f195]) ).
tff(f6918,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_162 ),
inference(forward_demodulation,[],[f6815,f196]) ).
tff(f6815,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1726,f6161,f242]) ).
tff(f7727,plain,
( spl14_20
| ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7726]) ).
tff(f7726,plain,
( $false
| spl14_20
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7725,f698]) ).
tff(f7725,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_20
| ~ spl14_30
| spl14_162 ),
inference(forward_demodulation,[],[f6864,f527]) ).
tff(f6864,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_20
| spl14_162 ),
inference(forward_demodulation,[],[f6863,f195]) ).
tff(f6863,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK10),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))))
| spl14_20
| spl14_162 ),
inference(forward_demodulation,[],[f6824,f196]) ).
tff(f6824,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),t2tb3(sK10),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_20
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1981,f6161,f242]) ).
tff(f1981,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f1726,f249]) ).
tff(f7724,plain,
( ~ spl14_30
| spl14_192 ),
inference(avatar_contradiction_clause,[],[f7723]) ).
tff(f7723,plain,
( $false
| ~ spl14_30
| spl14_192 ),
inference(subsumption_resolution,[],[f7722,f698]) ).
tff(f7722,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| ~ spl14_30
| spl14_192 ),
inference(forward_demodulation,[],[f7494,f527]) ).
tff(f7494,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_192 ),
inference(avatar_component_clause,[],[f7492]) ).
tff(f7492,plain,
( spl14_192
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_192])]) ).
tff(f7718,plain,
( ~ spl14_200
| ~ spl14_30
| spl14_182 ),
inference(avatar_split_clause,[],[f7617,f6891,f525,f7715]) ).
tff(f7715,plain,
( spl14_200
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_200])]) ).
tff(f7617,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_30
| spl14_182 ),
inference(backward_demodulation,[],[f6893,f527]) ).
tff(f7709,plain,
( ~ spl14_30
| spl14_161 ),
inference(avatar_contradiction_clause,[],[f7708]) ).
tff(f7708,plain,
( $false
| ~ spl14_30
| spl14_161 ),
inference(subsumption_resolution,[],[f7604,f698]) ).
tff(f7604,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| ~ spl14_30
| spl14_161 ),
inference(backward_demodulation,[],[f6156,f527]) ).
tff(f6156,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_161 ),
inference(avatar_component_clause,[],[f6154]) ).
tff(f6154,plain,
( spl14_161
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_161])]) ).
tff(f7705,plain,
( ~ spl14_30
| spl14_160 ),
inference(avatar_contradiction_clause,[],[f7704]) ).
tff(f7704,plain,
( $false
| ~ spl14_30
| spl14_160 ),
inference(subsumption_resolution,[],[f7603,f698]) ).
tff(f7603,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| ~ spl14_30
| spl14_160 ),
inference(backward_demodulation,[],[f6151,f527]) ).
tff(f7702,plain,
( ~ spl14_30
| spl14_164 ),
inference(avatar_contradiction_clause,[],[f7701]) ).
tff(f7701,plain,
( $false
| ~ spl14_30
| spl14_164 ),
inference(subsumption_resolution,[],[f7607,f698]) ).
tff(f7607,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),nil(list(a1)))))
| ~ spl14_30
| spl14_164 ),
inference(backward_demodulation,[],[f6171,f527]) ).
tff(f7697,plain,
( ~ spl14_199
| ~ spl14_30
| spl14_179 ),
inference(avatar_split_clause,[],[f7614,f6871,f525,f7694]) ).
tff(f7694,plain,
( spl14_199
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_199])]) ).
tff(f7614,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_30
| spl14_179 ),
inference(backward_demodulation,[],[f6873,f527]) ).
tff(f7691,plain,
( ~ spl14_30
| spl14_155 ),
inference(avatar_contradiction_clause,[],[f7690]) ).
tff(f7690,plain,
( $false
| ~ spl14_30
| spl14_155 ),
inference(subsumption_resolution,[],[f7598,f698]) ).
tff(f7598,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| ~ spl14_30
| spl14_155 ),
inference(backward_demodulation,[],[f6126,f527]) ).
tff(f7685,plain,
( ~ spl14_30
| spl14_156 ),
inference(avatar_contradiction_clause,[],[f7684]) ).
tff(f7684,plain,
( $false
| ~ spl14_30
| spl14_156 ),
inference(subsumption_resolution,[],[f7599,f698]) ).
tff(f7599,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| ~ spl14_30
| spl14_156 ),
inference(backward_demodulation,[],[f6131,f527]) ).
tff(f6131,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_156 ),
inference(avatar_component_clause,[],[f6129]) ).
tff(f6129,plain,
( spl14_156
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_156])]) ).
tff(f7683,plain,
( spl14_19
| ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7682]) ).
tff(f7682,plain,
( $false
| spl14_19
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7619,f698]) ).
tff(f7619,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_19
| ~ spl14_30
| spl14_162 ),
inference(backward_demodulation,[],[f6905,f527]) ).
tff(f6905,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_19
| spl14_162 ),
inference(forward_demodulation,[],[f6904,f195]) ).
tff(f6904,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK2),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))))
| spl14_19
| spl14_162 ),
inference(forward_demodulation,[],[f6821,f196]) ).
tff(f6821,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),t2tb3(sK2),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_19
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1985,f6161,f242]) ).
tff(f1985,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f1726,f249]) ).
tff(f7678,plain,
( ~ spl14_198
| ~ spl14_30
| spl14_181 ),
inference(avatar_split_clause,[],[f7616,f6883,f525,f7675]) ).
tff(f7675,plain,
( spl14_198
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_198])]) ).
tff(f7616,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_30
| spl14_181 ),
inference(backward_demodulation,[],[f6885,f527]) ).
tff(f7670,plain,
( ~ spl14_30
| spl14_165 ),
inference(avatar_contradiction_clause,[],[f7669]) ).
tff(f7669,plain,
( $false
| ~ spl14_30
| spl14_165 ),
inference(subsumption_resolution,[],[f7608,f698]) ).
tff(f7608,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| ~ spl14_30
| spl14_165 ),
inference(backward_demodulation,[],[f6176,f527]) ).
tff(f6176,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_165 ),
inference(avatar_component_clause,[],[f6174]) ).
tff(f6174,plain,
( spl14_165
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_165])]) ).
tff(f7668,plain,
( spl14_17
| ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7667]) ).
tff(f7667,plain,
( $false
| spl14_17
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7622,f698]) ).
tff(f7622,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_17
| ~ spl14_30
| spl14_162 ),
inference(backward_demodulation,[],[f6917,f527]) ).
tff(f6917,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_17
| spl14_162 ),
inference(forward_demodulation,[],[f6916,f195]) ).
tff(f6916,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK5),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))))
| spl14_17
| spl14_162 ),
inference(forward_demodulation,[],[f6823,f196]) ).
tff(f6823,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),t2tb3(sK5),cons(list(a1),cons(a1,X0,X1),nil(list(a1))))))
| spl14_17
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1980,f6161,f242]) ).
tff(f1980,plain,
( ! [X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),cons(a1,X0,X1),nil(list(a1)))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f1726,f249]) ).
tff(f7666,plain,
( ~ spl14_30
| spl14_178 ),
inference(avatar_contradiction_clause,[],[f7665]) ).
tff(f7665,plain,
( $false
| ~ spl14_30
| spl14_178 ),
inference(subsumption_resolution,[],[f7612,f698]) ).
tff(f7612,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_30
| spl14_178 ),
inference(backward_demodulation,[],[f6857,f527]) ).
tff(f7663,plain,
( ~ spl14_30
| spl14_163 ),
inference(avatar_contradiction_clause,[],[f7662]) ).
tff(f7662,plain,
( $false
| ~ spl14_30
| spl14_163 ),
inference(subsumption_resolution,[],[f7606,f698]) ).
tff(f7606,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| ~ spl14_30
| spl14_163 ),
inference(backward_demodulation,[],[f6166,f527]) ).
tff(f6166,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_163 ),
inference(avatar_component_clause,[],[f6164]) ).
tff(f6164,plain,
( spl14_163
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_163])]) ).
tff(f7661,plain,
( ~ spl14_30
| spl14_159 ),
inference(avatar_contradiction_clause,[],[f7660]) ).
tff(f7660,plain,
( $false
| ~ spl14_30
| spl14_159 ),
inference(subsumption_resolution,[],[f7602,f698]) ).
tff(f7602,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| ~ spl14_30
| spl14_159 ),
inference(backward_demodulation,[],[f6146,f527]) ).
tff(f6146,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_159 ),
inference(avatar_component_clause,[],[f6144]) ).
tff(f6144,plain,
( spl14_159
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_159])]) ).
tff(f7653,plain,
( ~ spl14_30
| spl14_154 ),
inference(avatar_contradiction_clause,[],[f7652]) ).
tff(f7652,plain,
( $false
| ~ spl14_30
| spl14_154 ),
inference(subsumption_resolution,[],[f7597,f698]) ).
tff(f7597,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))
| ~ spl14_30
| spl14_154 ),
inference(backward_demodulation,[],[f6121,f527]) ).
tff(f6121,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),nil(list(a1))))
| spl14_154 ),
inference(avatar_component_clause,[],[f6119]) ).
tff(f6119,plain,
( spl14_154
<=> mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_154])]) ).
tff(f7651,plain,
( ~ spl14_197
| ~ spl14_30
| spl14_180 ),
inference(avatar_split_clause,[],[f7615,f6878,f525,f7648]) ).
tff(f7648,plain,
( spl14_197
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_197])]) ).
tff(f7615,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_30
| spl14_180 ),
inference(backward_demodulation,[],[f6880,f527]) ).
tff(f7646,plain,
( ~ spl14_30
| spl14_177 ),
inference(avatar_contradiction_clause,[],[f7645]) ).
tff(f7645,plain,
( $false
| ~ spl14_30
| spl14_177 ),
inference(subsumption_resolution,[],[f7610,f698]) ).
tff(f7610,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| ~ spl14_30
| spl14_177 ),
inference(backward_demodulation,[],[f6752,f527]) ).
tff(f7644,plain,
( ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7643]) ).
tff(f7643,plain,
( $false
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7620,f698]) ).
tff(f7620,plain,
( ! [X2: uni,X3: uni,X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),cons(a1,X0,X1),cons(list(a1),cons(a1,X2,X3),nil(list(a1))))))
| ~ spl14_30
| spl14_162 ),
inference(backward_demodulation,[],[f6909,f527]) ).
tff(f6909,plain,
( ! [X2: uni,X3: uni,X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),cons(a1,X0,X1),cons(list(a1),cons(a1,X2,X3),nil(list(a1))))))
| spl14_162 ),
inference(forward_demodulation,[],[f6908,f195]) ).
tff(f6908,plain,
( ! [X2: uni,X3: uni,X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),cons(a1,X0,X1),cons(list(a1),cons(a1,X2,X3),nil(list(a1)))))))
| spl14_162 ),
inference(forward_demodulation,[],[f6831,f196]) ).
tff(f6831,plain,
( ! [X2: uni,X3: uni,X0: uni,X1: uni] : ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),cons(a1,X0,X1),cons(list(a1),cons(a1,X2,X3),nil(list(a1))))))
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1982,f6161,f242]) ).
tff(f1982,plain,
! [X2: uni,X3: uni,X0: ty,X1: uni,X4: uni] : ~ mem(list(X0),nil(X0),cons(list(X0),cons(X0,X1,X2),cons(list(X0),cons(X0,X3,X4),nil(list(X0))))),
inference(unit_resulting_resolution,[],[f192,f206,f445,f1726,f249]) ).
tff(f7637,plain,
( ~ spl14_30
| spl14_158 ),
inference(avatar_contradiction_clause,[],[f7636]) ).
tff(f7636,plain,
( $false
| ~ spl14_30
| spl14_158 ),
inference(subsumption_resolution,[],[f7601,f698]) ).
tff(f7601,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),nil(list(a1)))))
| ~ spl14_30
| spl14_158 ),
inference(backward_demodulation,[],[f6141,f527]) ).
tff(f7632,plain,
( ~ spl14_30
| spl14_162 ),
inference(avatar_contradiction_clause,[],[f7631]) ).
tff(f7631,plain,
( $false
| ~ spl14_30
| spl14_162 ),
inference(subsumption_resolution,[],[f7605,f698]) ).
tff(f7605,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))
| ~ spl14_30
| spl14_162 ),
inference(backward_demodulation,[],[f6161,f527]) ).
tff(f7630,plain,
( ~ spl14_30
| ~ spl14_167 ),
inference(avatar_contradiction_clause,[],[f7629]) ).
tff(f7629,plain,
( $false
| ~ spl14_30
| ~ spl14_167 ),
inference(subsumption_resolution,[],[f7609,f206]) ).
tff(f7609,plain,
( ( nil(a1) = cons(a1,cons_proj_1(a1,nil(a1)),cons_proj_2(a1,nil(a1))) )
| ~ spl14_30
| ~ spl14_167 ),
inference(backward_demodulation,[],[f6186,f527]) ).
tff(f6186,plain,
( ( t2tb3(sK11) = cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK11))) )
| ~ spl14_167 ),
inference(avatar_component_clause,[],[f6184]) ).
tff(f6184,plain,
( spl14_167
<=> ( t2tb3(sK11) = cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK11))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_167])]) ).
tff(f7628,plain,
( ~ spl14_30
| spl14_157 ),
inference(avatar_contradiction_clause,[],[f7627]) ).
tff(f7627,plain,
( $false
| ~ spl14_30
| spl14_157 ),
inference(subsumption_resolution,[],[f7600,f698]) ).
tff(f7600,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| ~ spl14_30
| spl14_157 ),
inference(backward_demodulation,[],[f6136,f527]) ).
tff(f6136,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_157 ),
inference(avatar_component_clause,[],[f6134]) ).
tff(f6134,plain,
( spl14_157
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_157])]) ).
tff(f7567,plain,
( spl14_54
| ~ spl14_45
| ~ spl14_169 ),
inference(avatar_split_clause,[],[f7560,f6210,f920,f1403]) ).
tff(f1403,plain,
( spl14_54
<=> ( length(a1,t2tb3(sK2)) = 2 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_54])]) ).
tff(f920,plain,
( spl14_45
<=> ( length(a1,t2tb3(sK2)) = $sum(1,length(a1,t2tb3(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_45])]) ).
tff(f6210,plain,
( spl14_169
<=> ( 1 = length(a1,t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_169])]) ).
tff(f7560,plain,
( ( length(a1,t2tb3(sK2)) = 2 )
| ~ spl14_45
| ~ spl14_169 ),
inference(evaluation,[],[f7559]) ).
tff(f7559,plain,
( ( length(a1,t2tb3(sK2)) = $sum(1,1) )
| ~ spl14_45
| ~ spl14_169 ),
inference(backward_demodulation,[],[f922,f6212]) ).
tff(f6212,plain,
( ( 1 = length(a1,t2tb3(sK5)) )
| ~ spl14_169 ),
inference(avatar_component_clause,[],[f6210]) ).
tff(f922,plain,
( ( length(a1,t2tb3(sK2)) = $sum(1,length(a1,t2tb3(sK5))) )
| ~ spl14_45 ),
inference(avatar_component_clause,[],[f920]) ).
tff(f7566,plain,
( spl14_196
| ~ spl14_46
| ~ spl14_169 ),
inference(avatar_split_clause,[],[f7556,f6210,f925,f7563]) ).
tff(f7563,plain,
( spl14_196
<=> ( 1 = $sum(1,length(a1,t2tb3(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_196])]) ).
tff(f925,plain,
( spl14_46
<=> ( $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_46])]) ).
tff(f7556,plain,
( ( 1 = $sum(1,length(a1,t2tb3(sK7))) )
| ~ spl14_46
| ~ spl14_169 ),
inference(backward_demodulation,[],[f927,f6212]) ).
tff(f927,plain,
( ( $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5)) )
| ~ spl14_46 ),
inference(avatar_component_clause,[],[f925]) ).
tff(f7555,plain,
( spl14_195
| spl14_30 ),
inference(avatar_split_clause,[],[f7521,f525,f7552]) ).
tff(f7521,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK11))
| spl14_30 ),
inference(unit_resulting_resolution,[],[f526,f1151]) ).
tff(f7548,plain,
( spl14_194
| ~ spl14_14
| spl14_30 ),
inference(avatar_split_clause,[],[f7543,f525,f365,f7545]) ).
tff(f7543,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK11)),t2tb3(sK8))
| ~ spl14_14
| spl14_30 ),
inference(subsumption_resolution,[],[f7536,f526]) ).
tff(f7500,plain,
( ~ spl14_193
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f7404,f419,f401,f7497]) ).
tff(f7497,plain,
( spl14_193
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_193])]) ).
tff(f7404,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f2560,f249]) ).
tff(f2560,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK10),cons(list(X0),t2tb3(sK3),nil(list(X0)))))
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f445,f421,f445,f1820,f249]) ).
tff(f7495,plain,
( ~ spl14_192
| spl14_18
| spl14_20
| spl14_30 ),
inference(avatar_split_clause,[],[f7432,f525,f419,f401,f7492]) ).
tff(f7432,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_20
| spl14_30 ),
inference(unit_resulting_resolution,[],[f385,f526,f445,f2560,f249]) ).
tff(f7490,plain,
( ~ spl14_191
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f7406,f419,f401,f7487]) ).
tff(f7487,plain,
( spl14_191
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_191])]) ).
tff(f7406,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f260,f2560,f249]) ).
tff(f7485,plain,
( ~ spl14_190
| spl14_17
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f7405,f419,f401,f391,f7482]) ).
tff(f7482,plain,
( spl14_190
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_190])]) ).
tff(f7405,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f2560,f249]) ).
tff(f7326,plain,
( spl14_189
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f7297,f370,f7323]) ).
tff(f7323,plain,
( spl14_189
<=> ( t2tb(sK4) = cons_proj_1(a1,t2tb3(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_189])]) ).
tff(f370,plain,
( spl14_15
<=> ( t2tb3(sK2) = cons(a1,t2tb(sK4),t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_15])]) ).
tff(f7297,plain,
( ( t2tb(sK4) = cons_proj_1(a1,t2tb3(sK2)) )
| ~ spl14_15 ),
inference(superposition,[],[f793,f372]) ).
tff(f372,plain,
( ( t2tb3(sK2) = cons(a1,t2tb(sK4),t2tb3(sK5)) )
| ~ spl14_15 ),
inference(avatar_component_clause,[],[f370]) ).
tff(f793,plain,
! [X0: a,X1: uni] : ( t2tb(X0) = cons_proj_1(a1,cons(a1,t2tb(X0),X1)) ),
inference(resolution,[],[f209,f244]) ).
tff(f209,plain,
! [X2: uni,X0: uni,X1: ty] :
( ~ sort(X1,X0)
| ( cons_proj_1(X1,cons(X1,X0,X2)) = X0 ) ),
inference(cnf_transformation,[],[f126]) ).
tff(f126,plain,
! [X0: uni,X1: ty,X2: uni] :
( ~ sort(X1,X0)
| ( cons_proj_1(X1,cons(X1,X0,X2)) = X0 ) ),
inference(ennf_transformation,[],[f92]) ).
tff(f92,plain,
! [X2: uni,X1: ty,X0: uni] :
( sort(X1,X0)
=> ( cons_proj_1(X1,cons(X1,X0,X2)) = X0 ) ),
inference(rectify,[],[f16]) ).
tff(f16,axiom,
! [X6: uni,X0: ty,X9: uni] :
( sort(X0,X6)
=> ( cons_proj_1(X0,cons(X0,X6,X9)) = X6 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f7321,plain,
( spl14_188
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f7296,f375,f7318]) ).
tff(f7296,plain,
( ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK10)) )
| ~ spl14_16 ),
inference(superposition,[],[f793,f377]) ).
tff(f7316,plain,
( spl14_187
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f7295,f360,f7313]) ).
tff(f7313,plain,
( spl14_187
<=> ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_187])]) ).
tff(f7295,plain,
( ( t2tb(sK13) = cons_proj_1(a1,t2tb3(sK3)) )
| ~ spl14_13 ),
inference(superposition,[],[f793,f362]) ).
tff(f7310,plain,
( spl14_186
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f7294,f355,f7307]) ).
tff(f7307,plain,
( spl14_186
<=> ( t2tb(sK6) = cons_proj_1(a1,t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_186])]) ).
tff(f355,plain,
( spl14_12
<=> ( t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_12])]) ).
tff(f7294,plain,
( ( t2tb(sK6) = cons_proj_1(a1,t2tb3(sK5)) )
| ~ spl14_12 ),
inference(superposition,[],[f793,f357]) ).
tff(f357,plain,
( ( t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) )
| ~ spl14_12 ),
inference(avatar_component_clause,[],[f355]) ).
tff(f7258,plain,
( ~ spl14_185
| spl14_150
| spl14_174 ),
inference(avatar_split_clause,[],[f7234,f6425,f5968,f7254]) ).
tff(f5968,plain,
( spl14_150
<=> ( t2tb3(sK8) = infix_plpl(a1,nil(a1),t2tb3(sK10)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_150])]) ).
tff(f7234,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_150
| spl14_174 ),
inference(unit_resulting_resolution,[],[f237,f6426,f237,f6572,f249]) ).
tff(f6572,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK8),cons(list(X0),t2tb3(sK10),nil(list(X0))))
| spl14_150 ),
inference(forward_demodulation,[],[f6562,f195]) ).
tff(f6562,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK8),cons(list(X0),infix_plpl(a1,nil(a1),t2tb3(sK10)),nil(list(X0))))
| spl14_150 ),
inference(unit_resulting_resolution,[],[f449,f445,f445,f5969,f249]) ).
tff(f5969,plain,
( ( t2tb3(sK8) != infix_plpl(a1,nil(a1),t2tb3(sK10)) )
| spl14_150 ),
inference(avatar_component_clause,[],[f5968]) ).
tff(f7257,plain,
( ~ spl14_185
| spl14_150 ),
inference(avatar_split_clause,[],[f7252,f5968,f7254]) ).
tff(f7252,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_150 ),
inference(forward_demodulation,[],[f7237,f195]) ).
tff(f7237,plain,
( ~ mem(list(a1),t2tb3(sK8),cons(list(a1),infix_plpl(a1,nil(a1),t2tb3(sK10)),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_150 ),
inference(unit_resulting_resolution,[],[f255,f5969,f445,f6572,f249]) ).
tff(f7175,plain,
( ~ spl14_184
| spl14_20
| spl14_150 ),
inference(avatar_split_clause,[],[f7138,f5968,f419,f7172]) ).
tff(f7138,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| spl14_20
| spl14_150 ),
inference(unit_resulting_resolution,[],[f260,f421,f237,f6571,f249]) ).
tff(f6571,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK10),cons(list(X0),t2tb3(sK8),nil(list(X0))))
| spl14_150 ),
inference(forward_demodulation,[],[f6569,f195]) ).
tff(f6569,plain,
( ! [X0: ty] : ~ mem(list(X0),infix_plpl(a1,nil(a1),t2tb3(sK10)),cons(list(X0),t2tb3(sK8),nil(list(X0))))
| spl14_150 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f5969,f249]) ).
tff(f7168,plain,
( ~ spl14_183
| spl14_150
| spl14_174 ),
inference(avatar_split_clause,[],[f7139,f6425,f5968,f7165]) ).
tff(f7139,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),t2tb3(sK8),nil(list(a1)))))
| spl14_150
| spl14_174 ),
inference(unit_resulting_resolution,[],[f237,f6426,f237,f6571,f249]) ).
tff(f6935,plain,
( ~ spl14_178
| spl14_162 ),
inference(avatar_split_clause,[],[f6934,f6159,f6855]) ).
tff(f6934,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_162 ),
inference(forward_demodulation,[],[f6933,f195]) ).
tff(f6933,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_162 ),
inference(forward_demodulation,[],[f6814,f196]) ).
tff(f6814,plain,
( ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_162 ),
inference(unit_resulting_resolution,[],[f6161,f6161,f242]) ).
tff(f6894,plain,
( ~ spl14_182
| spl14_18
| spl14_162 ),
inference(avatar_split_clause,[],[f6807,f6159,f401,f6891]) ).
tff(f6807,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_18
| spl14_162 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f6161,f249]) ).
tff(f6886,plain,
( ~ spl14_181
| spl14_17
| spl14_162 ),
inference(avatar_split_clause,[],[f6808,f6159,f391,f6883]) ).
tff(f6808,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_17
| spl14_162 ),
inference(unit_resulting_resolution,[],[f237,f393,f445,f6161,f249]) ).
tff(f6881,plain,
( ~ spl14_180
| spl14_20
| spl14_162 ),
inference(avatar_split_clause,[],[f6876,f6159,f419,f6878]) ).
tff(f6876,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_20
| spl14_162 ),
inference(forward_demodulation,[],[f6875,f195]) ).
tff(f6875,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_20
| spl14_162 ),
inference(forward_demodulation,[],[f6841,f196]) ).
tff(f6841,plain,
( ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK10),nil(list(a1))),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_20
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1834,f6161,f242]) ).
tff(f6874,plain,
( ~ spl14_179
| spl14_19
| spl14_162 ),
inference(avatar_split_clause,[],[f6869,f6159,f407,f6871]) ).
tff(f6869,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_19
| spl14_162 ),
inference(forward_demodulation,[],[f6868,f195]) ).
tff(f6868,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),t2tb3(sK11),nil(list(a1))))))
| spl14_19
| spl14_162 ),
inference(forward_demodulation,[],[f6838,f196]) ).
tff(f6838,plain,
( ~ mem(list(a1),nil(a1),infix_plpl(list(a1),cons(list(a1),t2tb3(sK2),nil(list(a1))),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_19
| spl14_162 ),
inference(unit_resulting_resolution,[],[f1813,f6161,f242]) ).
tff(f6858,plain,
( ~ spl14_178
| spl14_30
| spl14_162 ),
inference(avatar_split_clause,[],[f6810,f6159,f525,f6855]) ).
tff(f6810,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK11),nil(list(a1)))))
| spl14_30
| spl14_162 ),
inference(unit_resulting_resolution,[],[f237,f526,f445,f6161,f249]) ).
tff(f6760,plain,
( ~ spl14_177
| spl14_154 ),
inference(avatar_split_clause,[],[f6759,f6119,f6750]) ).
tff(f6759,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_154 ),
inference(forward_demodulation,[],[f6758,f195]) ).
tff(f6758,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),infix_plpl(list(a1),nil(list(a1)),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_154 ),
inference(forward_demodulation,[],[f6747,f196]) ).
tff(f6747,plain,
( ~ mem(list(a1),t2tb3(sK11),infix_plpl(list(a1),cons(list(a1),nil(a1),nil(list(a1))),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_154 ),
inference(unit_resulting_resolution,[],[f6121,f6121,f242]) ).
tff(f6753,plain,
( ~ spl14_177
| spl14_30
| spl14_154 ),
inference(avatar_split_clause,[],[f6738,f6119,f525,f6750]) ).
tff(f6738,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_30
| spl14_154 ),
inference(unit_resulting_resolution,[],[f260,f526,f385,f6121,f249]) ).
tff(f6658,plain,
( ~ spl14_176
| spl14_20
| spl14_174 ),
inference(avatar_split_clause,[],[f6642,f6425,f419,f6655]) ).
tff(f6642,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_20
| spl14_174 ),
inference(unit_resulting_resolution,[],[f385,f445,f1774,f6426,f249]) ).
tff(f1774,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK10),cons(list(X0),nil(a1),nil(list(X0))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f421,f249]) ).
tff(f6653,plain,
( ~ spl14_175
| spl14_20
| spl14_174 ),
inference(avatar_split_clause,[],[f6646,f6425,f419,f6650]) ).
tff(f6646,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK8),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_20
| spl14_174 ),
inference(unit_resulting_resolution,[],[f237,f445,f2401,f6426,f249]) ).
tff(f2401,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK10),cons(list(X0),nil(a1),cons(list(X0),nil(a1),nil(list(X0)))))
| spl14_20 ),
inference(forward_demodulation,[],[f2400,f195]) ).
tff(f2400,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK10),cons(list(X0),nil(a1),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),nil(a1),nil(list(X0))))))
| spl14_20 ),
inference(forward_demodulation,[],[f2386,f196]) ).
tff(f2386,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK10),infix_plpl(list(X0),cons(list(X0),nil(a1),nil(list(X0))),cons(list(X0),nil(a1),nil(list(X0)))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f1774,f1774,f242]) ).
tff(f6573,plain,
( ~ spl14_174
| spl14_150 ),
inference(avatar_split_clause,[],[f6570,f5968,f6425]) ).
tff(f6570,plain,
( ( t2tb3(sK8) != t2tb3(sK10) )
| spl14_150 ),
inference(superposition,[],[f5969,f195]) ).
tff(f6428,plain,
( spl14_174
| ~ spl14_150 ),
inference(avatar_split_clause,[],[f6405,f5968,f6425]) ).
tff(f6405,plain,
( ( t2tb3(sK8) = t2tb3(sK10) )
| ~ spl14_150 ),
inference(superposition,[],[f195,f5970]) ).
tff(f5970,plain,
( ( t2tb3(sK8) = infix_plpl(a1,nil(a1),t2tb3(sK10)) )
| ~ spl14_150 ),
inference(avatar_component_clause,[],[f5968]) ).
tff(f6423,plain,
( ~ spl14_172
| ~ spl14_173
| ~ spl14_150 ),
inference(avatar_split_clause,[],[f6414,f5968,f6420,f6416]) ).
tff(f6416,plain,
( spl14_172
<=> ( sK3 = tb2t3(infix_plpl(a1,t2tb3(sK10),t2tb3(sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_172])]) ).
tff(f6420,plain,
( spl14_173
<=> ( length(a1,t2tb3(sK2)) = length(a1,t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_173])]) ).
tff(f6414,plain,
( ( sK3 != tb2t3(infix_plpl(a1,t2tb3(sK10),t2tb3(sK12))) )
| ( length(a1,t2tb3(sK2)) != length(a1,t2tb3(sK8)) )
| ~ spl14_150 ),
inference(forward_demodulation,[],[f6407,f195]) ).
tff(f6407,plain,
( ( sK3 != tb2t3(infix_plpl(a1,nil(a1),infix_plpl(a1,t2tb3(sK10),t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != length(a1,t2tb3(sK8)) )
| ~ spl14_150 ),
inference(superposition,[],[f1443,f5970]) ).
tff(f6402,plain,
( spl14_170
| ~ spl14_171
| ~ spl14_14
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f6394,f910,f365,f6399,f6396]) ).
tff(f6396,plain,
( spl14_170
<=> ! [X0: uni] : ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK8),t2tb3(sK12)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_170])]) ).
tff(f6399,plain,
( spl14_171
<=> ( length(a1,t2tb3(sK3)) = length(a1,t2tb3(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_171])]) ).
tff(f910,plain,
( spl14_43
<=> ( length(a1,t2tb3(sK3)) = $sum(1,length(a1,t2tb3(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_43])]) ).
tff(f6394,plain,
( ! [X0: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK8),t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK3)) != length(a1,t2tb3(sK2)) ) )
| ~ spl14_14
| ~ spl14_43 ),
inference(forward_demodulation,[],[f6393,f1424]) ).
tff(f1424,plain,
( ! [X0: uni] : ( infix_plpl(a1,t2tb3(sK8),X0) = infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK10),X0)) )
| ~ spl14_14 ),
inference(superposition,[],[f256,f367]) ).
tff(f6393,plain,
( ! [X0: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK10),t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK3)) != length(a1,t2tb3(sK2)) ) )
| ~ spl14_14
| ~ spl14_43 ),
inference(forward_demodulation,[],[f6384,f912]) ).
tff(f912,plain,
( ( length(a1,t2tb3(sK3)) = $sum(1,length(a1,t2tb3(sK8))) )
| ~ spl14_43 ),
inference(avatar_component_clause,[],[f910]) ).
tff(f6384,plain,
( ! [X0: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(1,length(a1,t2tb3(sK8))) )
| ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK10),t2tb3(sK12))))) ) )
| ~ spl14_14 ),
inference(superposition,[],[f1442,f367]) ).
tff(f1442,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(1,length(a1,infix_plpl(a1,X0,X1))) )
| ( sK3 != tb2t3(cons(a1,X2,infix_plpl(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) ) ),
inference(superposition,[],[f1202,f256]) ).
tff(f1202,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != $sum(1,length(a1,X1)) ) ),
inference(forward_demodulation,[],[f1201,f231]) ).
tff(f1201,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != length(a1,cons(a1,X0,X1)) ) ),
inference(superposition,[],[f353,f196]) ).
tff(f6214,plain,
( spl14_166
| ~ spl14_7
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f6190,f529,f319,f6179]) ).
tff(f6179,plain,
( spl14_166
<=> ( 0 = length(a1,t2tb3(sK11)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_166])]) ).
tff(f6190,plain,
( ( 0 = length(a1,t2tb3(sK11)) )
| ~ spl14_7
| ~ spl14_31 ),
inference(backward_demodulation,[],[f321,f530]) ).
tff(f530,plain,
( ( 0 = length(a1,t2tb3(sK7)) )
| ~ spl14_31 ),
inference(avatar_component_clause,[],[f529]) ).
tff(f6213,plain,
( spl14_169
| ~ spl14_31
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f6201,f925,f529,f6210]) ).
tff(f6201,plain,
( ( 1 = length(a1,t2tb3(sK5)) )
| ~ spl14_31
| ~ spl14_46 ),
inference(evaluation,[],[f6191]) ).
tff(f6191,plain,
( ( $sum(1,0) = length(a1,t2tb3(sK5)) )
| ~ spl14_31
| ~ spl14_46 ),
inference(backward_demodulation,[],[f927,f530]) ).
tff(f6208,plain,
( spl14_168
| ~ spl14_2
| ~ spl14_31 ),
inference(avatar_split_clause,[],[f6188,f529,f294,f6205]) ).
tff(f6205,plain,
( spl14_168
<=> pal(a1,t2tb3(sK8),0) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_168])]) ).
tff(f294,plain,
( spl14_2
<=> pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_2])]) ).
tff(f6188,plain,
( pal(a1,t2tb3(sK8),0)
| ~ spl14_2
| ~ spl14_31 ),
inference(backward_demodulation,[],[f296,f530]) ).
tff(f296,plain,
( pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7)))
| ~ spl14_2 ),
inference(avatar_component_clause,[],[f294]) ).
tff(f6187,plain,
( spl14_167
| spl14_30 ),
inference(avatar_split_clause,[],[f6048,f525,f6184]) ).
tff(f6048,plain,
( ( t2tb3(sK11) = cons(a1,cons_proj_1(a1,t2tb3(sK11)),cons_proj_2(a1,t2tb3(sK11))) )
| spl14_30 ),
inference(unit_resulting_resolution,[],[f526,f261]) ).
tff(f6182,plain,
( ~ spl14_166
| spl14_30 ),
inference(avatar_split_clause,[],[f6049,f525,f6179]) ).
tff(f6049,plain,
( ( 0 != length(a1,t2tb3(sK11)) )
| spl14_30 ),
inference(unit_resulting_resolution,[],[f526,f265]) ).
tff(f6177,plain,
( ~ spl14_165
| spl14_17
| spl14_19
| spl14_30 ),
inference(avatar_split_clause,[],[f6099,f525,f407,f391,f6174]) ).
tff(f6099,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_17
| spl14_19
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f445,f2480,f526,f249]) ).
tff(f2480,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),cons(list(X0),t2tb3(sK2),nil(list(X0)))))
| spl14_17
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f393,f445,f1813,f249]) ).
tff(f6172,plain,
( ~ spl14_164
| spl14_18
| spl14_30 ),
inference(avatar_split_clause,[],[f6068,f525,f401,f6169]) ).
tff(f6068,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),nil(list(a1)))))
| spl14_18
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f260,f1820,f526,f249]) ).
tff(f6167,plain,
( ~ spl14_163
| spl14_18
| spl14_19
| spl14_30 ),
inference(avatar_split_clause,[],[f6093,f525,f407,f401,f6164]) ).
tff(f6093,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_19
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f385,f2477,f526,f249]) ).
tff(f2477,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK3),cons(list(X0),t2tb3(sK2),nil(list(X0)))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f403,f445,f1813,f249]) ).
tff(f6162,plain,
( ~ spl14_162
| spl14_30 ),
inference(avatar_split_clause,[],[f6050,f525,f6159]) ).
tff(f6050,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),nil(list(a1))))
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f260,f386,f526,f249]) ).
tff(f386,plain,
! [X0: uni] : ~ mem(list(a1),X0,nil(list(a1))),
inference(superposition,[],[f384,f202]) ).
tff(f384,plain,
! [X0: list_a1] : ~ mem(list(a1),t2tb3(X0),nil(list(a1))),
inference(unit_resulting_resolution,[],[f237,f248]) ).
tff(f6157,plain,
( ~ spl14_161
| spl14_19
| spl14_20
| spl14_30 ),
inference(avatar_split_clause,[],[f6104,f525,f419,f407,f6154]) ).
tff(f6104,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_19
| spl14_20
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f445,f2483,f526,f249]) ).
tff(f2483,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK10),cons(list(X0),t2tb3(sK2),nil(list(X0)))))
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f445,f421,f445,f1813,f249]) ).
tff(f6152,plain,
( ~ spl14_160
| spl14_20
| spl14_30 ),
inference(avatar_split_clause,[],[f6078,f525,f419,f6149]) ).
tff(f6078,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_20
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f260,f1834,f526,f249]) ).
tff(f6147,plain,
( ~ spl14_159
| spl14_18
| spl14_19
| spl14_30 ),
inference(avatar_split_clause,[],[f6107,f525,f407,f401,f6144]) ).
tff(f6107,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_18
| spl14_19
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f260,f2551,f526,f249]) ).
tff(f2551,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK2),cons(list(X0),t2tb3(sK3),nil(list(X0)))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f409,f445,f1820,f249]) ).
tff(f6142,plain,
( ~ spl14_158
| spl14_19
| spl14_30 ),
inference(avatar_split_clause,[],[f6066,f525,f407,f6139]) ).
tff(f6066,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),nil(list(a1)))))
| spl14_19
| spl14_30 ),
inference(unit_resulting_resolution,[],[f385,f445,f1813,f526,f249]) ).
tff(f6137,plain,
( ~ spl14_157
| spl14_17
| spl14_18
| spl14_30 ),
inference(avatar_split_clause,[],[f6112,f525,f401,f391,f6134]) ).
tff(f6112,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f260,f2557,f526,f249]) ).
tff(f2557,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK5),cons(list(X0),t2tb3(sK3),nil(list(X0)))))
| spl14_17
| spl14_18 ),
inference(unit_resulting_resolution,[],[f445,f393,f445,f1820,f249]) ).
tff(f6132,plain,
( ~ spl14_156
| spl14_19
| spl14_30 ),
inference(avatar_split_clause,[],[f6089,f525,f407,f6129]) ).
tff(f6089,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_19
| spl14_30 ),
inference(unit_resulting_resolution,[],[f237,f445,f2474,f526,f249]) ).
tff(f2474,plain,
( ! [X0: ty] : ~ mem(list(X0),nil(a1),cons(list(X0),t2tb3(sK2),cons(list(X0),t2tb3(sK2),nil(list(X0)))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f409,f445,f1813,f249]) ).
tff(f6127,plain,
( ~ spl14_155
| spl14_17
| spl14_30 ),
inference(avatar_split_clause,[],[f6076,f525,f391,f6124]) ).
tff(f6076,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK11),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| spl14_17
| spl14_30 ),
inference(unit_resulting_resolution,[],[f385,f445,f1827,f526,f249]) ).
tff(f6122,plain,
( ~ spl14_154
| spl14_30 ),
inference(avatar_split_clause,[],[f6043,f525,f6119]) ).
tff(f6043,plain,
( ~ mem(list(a1),t2tb3(sK11),cons(list(a1),nil(a1),nil(list(a1))))
| spl14_30 ),
inference(unit_resulting_resolution,[],[f260,f237,f449,f526,f249]) ).
tff(f6040,plain,
( spl14_153
| ~ spl14_142 ),
inference(avatar_split_clause,[],[f6018,f5361,f6037]) ).
tff(f6037,plain,
( spl14_153
<=> mem(a1,cons_proj_1(a1,t2tb3(sK2)),cons(a1,witness(a1),t2tb3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_153])]) ).
tff(f5361,plain,
( spl14_142
<=> mem(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_142])]) ).
tff(f6018,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK2)),cons(a1,witness(a1),t2tb3(sK2)))
| ~ spl14_142 ),
inference(unit_resulting_resolution,[],[f270,f263,f5363,f251]) ).
tff(f5363,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK2))
| ~ spl14_142 ),
inference(avatar_component_clause,[],[f5361]) ).
tff(f6035,plain,
( spl14_152
| ~ spl14_142 ),
inference(avatar_split_clause,[],[f6016,f5361,f6032]) ).
tff(f6032,plain,
( spl14_152
<=> ( t2tb3(sK2) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK2)),a1,t2tb3(sK2)),cons(a1,cons_proj_1(a1,t2tb3(sK2)),sK1(cons_proj_1(a1,t2tb3(sK2)),a1,t2tb3(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_152])]) ).
tff(f6016,plain,
( ( t2tb3(sK2) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK2)),a1,t2tb3(sK2)),cons(a1,cons_proj_1(a1,t2tb3(sK2)),sK1(cons_proj_1(a1,t2tb3(sK2)),a1,t2tb3(sK2)))) )
| ~ spl14_142 ),
inference(unit_resulting_resolution,[],[f5363,f203]) ).
tff(f6000,plain,
( ~ spl14_151
| ~ spl14_30
| spl14_102 ),
inference(avatar_split_clause,[],[f5995,f3467,f525,f5997]) ).
tff(f5997,plain,
( spl14_151
<=> ( sK3 = tb2t3(t2tb3(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_151])]) ).
tff(f3467,plain,
( spl14_102
<=> ( sK3 = tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_102])]) ).
tff(f5995,plain,
( ( sK3 != tb2t3(t2tb3(sK12)) )
| ~ spl14_30
| spl14_102 ),
inference(forward_demodulation,[],[f5962,f195]) ).
tff(f5962,plain,
( ( sK3 != tb2t3(infix_plpl(a1,nil(a1),t2tb3(sK12))) )
| ~ spl14_30
| spl14_102 ),
inference(backward_demodulation,[],[f3469,f527]) ).
tff(f3469,plain,
( ( sK3 != tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK12))) )
| spl14_102 ),
inference(avatar_component_clause,[],[f3467]) ).
tff(f5977,plain,
( spl14_31
| ~ spl14_7
| ~ spl14_30 ),
inference(avatar_split_clause,[],[f5976,f525,f319,f529]) ).
tff(f5976,plain,
( ( 0 = length(a1,t2tb3(sK7)) )
| ~ spl14_7
| ~ spl14_30 ),
inference(forward_demodulation,[],[f5935,f274]) ).
tff(f5935,plain,
( ( length(a1,t2tb3(sK7)) = length(a1,nil(a1)) )
| ~ spl14_7
| ~ spl14_30 ),
inference(backward_demodulation,[],[f321,f527]) ).
tff(f5971,plain,
( spl14_150
| ~ spl14_14
| ~ spl14_30 ),
inference(avatar_split_clause,[],[f5936,f525,f365,f5968]) ).
tff(f5936,plain,
( ( t2tb3(sK8) = infix_plpl(a1,nil(a1),t2tb3(sK10)) )
| ~ spl14_14
| ~ spl14_30 ),
inference(backward_demodulation,[],[f367,f527]) ).
tff(f5932,plain,
( spl14_148
| ~ spl14_149 ),
inference(avatar_split_clause,[],[f5924,f5929,f5926]) ).
tff(f5926,plain,
( spl14_148
<=> ! [X2: uni,X0: uni,X1: uni,X3: uni] : ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,cons(a1,X3,t2tb3(sK12)))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_148])]) ).
tff(f5929,plain,
( spl14_149
<=> ( length(a1,t2tb3(sK2)) = 4 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_149])]) ).
tff(f5924,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != 4 )
| ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,cons(a1,X3,t2tb3(sK12)))))) ) ),
inference(evaluation,[],[f5923]) ).
tff(f5923,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(4,0) )
| ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,cons(a1,X3,t2tb3(sK12)))))) ) ),
inference(forward_demodulation,[],[f5920,f274]) ).
tff(f5920,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,cons(a1,X3,t2tb3(sK12)))))) )
| ( length(a1,t2tb3(sK2)) != $sum(4,length(a1,nil(a1))) ) ),
inference(superposition,[],[f2362,f195]) ).
tff(f2362,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni,X4: uni] :
( ( sK3 != tb2t3(cons(a1,X2,cons(a1,X3,cons(a1,X4,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))))) )
| ( length(a1,t2tb3(sK2)) != $sum(4,length(a1,X1)) ) ),
inference(evaluation,[],[f2361]) ).
tff(f2361,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni,X4: uni] :
( ( sK3 != tb2t3(cons(a1,X2,cons(a1,X3,cons(a1,X4,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))))) )
| ( length(a1,t2tb3(sK2)) != $sum(3,$sum(1,length(a1,X1))) ) ),
inference(forward_demodulation,[],[f2349,f231]) ).
tff(f2349,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni,X4: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(3,length(a1,cons(a1,X0,X1))) )
| ( sK3 != tb2t3(cons(a1,X2,cons(a1,X3,cons(a1,X4,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))))) ) ),
inference(superposition,[],[f1411,f196]) ).
tff(f1411,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X2,cons(a1,X3,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))))) )
| ( length(a1,t2tb3(sK2)) != $sum(3,length(a1,X1)) ) ),
inference(evaluation,[],[f1410]) ).
tff(f1410,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X2,cons(a1,X3,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,$sum(1,length(a1,X1))) ) ),
inference(forward_demodulation,[],[f1399,f231]) ).
tff(f1399,plain,
! [X2: uni,X3: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,cons(a1,X0,X1))) )
| ( sK3 != tb2t3(cons(a1,X2,cons(a1,X3,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12)))))) ) ),
inference(superposition,[],[f1385,f196]) ).
tff(f1385,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X2,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,X1)) ) ),
inference(evaluation,[],[f1384]) ).
tff(f1384,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X2,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != $sum(1,$sum(1,length(a1,X1))) ) ),
inference(forward_demodulation,[],[f1383,f231]) ).
tff(f1383,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(1,length(a1,cons(a1,X0,X1))) )
| ( sK3 != tb2t3(cons(a1,X2,cons(a1,X0,infix_plpl(a1,X1,t2tb3(sK12))))) ) ),
inference(superposition,[],[f1202,f196]) ).
tff(f5820,plain,
( ~ spl14_147
| spl14_17
| spl14_18
| spl14_20 ),
inference(avatar_split_clause,[],[f5745,f419,f401,f391,f5817]) ).
tff(f5817,plain,
( spl14_147
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_147])]) ).
tff(f5745,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f2557,f249]) ).
tff(f5815,plain,
( ~ spl14_146
| spl14_17
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f5742,f407,f401,f391,f5812]) ).
tff(f5812,plain,
( spl14_146
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_146])]) ).
tff(f5742,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f409,f385,f2557,f249]) ).
tff(f5520,plain,
( ~ spl14_145
| spl14_18
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f5398,f419,f407,f401,f5517]) ).
tff(f5517,plain,
( spl14_145
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_145])]) ).
tff(f5398,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f2483,f249]) ).
tff(f5457,plain,
( ~ spl14_144
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f5391,f419,f407,f5454]) ).
tff(f5454,plain,
( spl14_144
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_144])]) ).
tff(f5391,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f2483,f249]) ).
tff(f5371,plain,
( spl14_143
| ~ spl14_42
| ~ spl14_51 ),
inference(avatar_split_clause,[],[f5366,f1147,f834,f5368]) ).
tff(f5368,plain,
( spl14_143
<=> ( some(a1,t2tb(sK4)) = some(a1,cons_proj_1(a1,t2tb3(sK2))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_143])]) ).
tff(f834,plain,
( spl14_42
<=> ( some(a1,t2tb(sK4)) = nth(a1,0,t2tb3(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_42])]) ).
tff(f1147,plain,
( spl14_51
<=> ( t2tb3(sK2) = cons(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_51])]) ).
tff(f5366,plain,
( ( some(a1,t2tb(sK4)) = some(a1,cons_proj_1(a1,t2tb3(sK2))) )
| ~ spl14_42
| ~ spl14_51 ),
inference(forward_demodulation,[],[f5346,f836]) ).
tff(f836,plain,
( ( some(a1,t2tb(sK4)) = nth(a1,0,t2tb3(sK2)) )
| ~ spl14_42 ),
inference(avatar_component_clause,[],[f834]) ).
tff(f5346,plain,
( ( nth(a1,0,t2tb3(sK2)) = some(a1,cons_proj_1(a1,t2tb3(sK2))) )
| ~ spl14_51 ),
inference(superposition,[],[f272,f1149]) ).
tff(f1149,plain,
( ( t2tb3(sK2) = cons(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK5)) )
| ~ spl14_51 ),
inference(avatar_component_clause,[],[f1147]) ).
tff(f272,plain,
! [X2: uni,X3: uni,X1: ty] : ( some(X1,X2) = nth(X1,0,cons(X1,X2,X3)) ),
inference(equality_resolution,[],[f234]) ).
tff(f234,plain,
! [X2: uni,X3: uni,X0: $int,X1: ty] :
( ( some(X1,X2) = nth(X1,X0,cons(X1,X2,X3)) )
| ( 0 != X0 ) ),
inference(cnf_transformation,[],[f168]) ).
tff(f168,plain,
! [X0: $int,X1: ty] :
( ( none(X1) = nth(X1,X0,nil(X1)) )
& ! [X2: uni,X3: uni] :
( ( ( some(X1,X2) = nth(X1,X0,cons(X1,X2,X3)) )
| ( 0 != X0 ) )
& ( ( nth(X1,X0,cons(X1,X2,X3)) = nth(X1,$sum(X0,$uminus(1)),X3) )
| ( 0 = X0 ) ) ) ),
inference(rectify,[],[f139]) ).
tff(f139,plain,
! [X1: $int,X0: ty] :
( ( none(X0) = nth(X0,X1,nil(X0)) )
& ! [X2: uni,X3: uni] :
( ( ( nth(X0,X1,cons(X0,X2,X3)) = some(X0,X2) )
| ( 0 != X1 ) )
& ( ( nth(X0,X1,cons(X0,X2,X3)) = nth(X0,$sum(X1,$uminus(1)),X3) )
| ( 0 = X1 ) ) ) ),
inference(ennf_transformation,[],[f99]) ).
tff(f99,plain,
! [X0: ty,X1: $int] :
( ( none(X0) = nth(X0,X1,nil(X0)) )
& ! [X3: uni,X2: uni] :
( ( ( 0 != X1 )
=> ( nth(X0,X1,cons(X0,X2,X3)) = nth(X0,$sum(X1,$uminus(1)),X3) ) )
& ( ( 0 = X1 )
=> ( nth(X0,X1,cons(X0,X2,X3)) = some(X0,X2) ) ) ) ),
inference(rectify,[],[f64]) ).
tff(f64,plain,
! [X0: ty,X16: $int] :
( ( none(X0) = nth(X0,X16,nil(X0)) )
& ! [X1: uni,X2: uni] :
( ( ( 0 != X16 )
=> ( nth(X0,X16,cons(X0,X1,X2)) = nth(X0,$sum(X16,$uminus(1)),X2) ) )
& ( ( 0 = X16 )
=> ( some(X0,X1) = nth(X0,X16,cons(X0,X1,X2)) ) ) ) ),
inference(theory_normalization,[],[f41]) ).
tff(f41,axiom,
! [X0: ty,X16: $int] :
( ( none(X0) = nth(X0,X16,nil(X0)) )
& ! [X1: uni,X2: uni] :
( ( ( 0 != X16 )
=> ( nth(X0,X16,cons(X0,X1,X2)) = nth(X0,$difference(X16,1),X2) ) )
& ( ( 0 = X16 )
=> ( some(X0,X1) = nth(X0,X16,cons(X0,X1,X2)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f5364,plain,
( spl14_142
| ~ spl14_51 ),
inference(avatar_split_clause,[],[f5359,f1147,f5361]) ).
tff(f5359,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK2))
| ~ spl14_51 ),
inference(subsumption_resolution,[],[f5347,f263]) ).
tff(f5347,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK2))
| ~ sort(a1,cons_proj_1(a1,t2tb3(sK2)))
| ~ spl14_51 ),
inference(superposition,[],[f282,f1149]) ).
tff(f5086,plain,
( spl14_141
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f5064,f4808,f5083]) ).
tff(f5083,plain,
( spl14_141
<=> mem(a1,cons_proj_1(a1,t2tb3(sK10)),cons(a1,witness(a1),t2tb3(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_141])]) ).
tff(f4808,plain,
( spl14_138
<=> mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_138])]) ).
tff(f5064,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK10)),cons(a1,witness(a1),t2tb3(sK8)))
| ~ spl14_138 ),
inference(unit_resulting_resolution,[],[f270,f263,f4810,f251]) ).
tff(f4810,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK8))
| ~ spl14_138 ),
inference(avatar_component_clause,[],[f4808]) ).
tff(f5081,plain,
( spl14_140
| ~ spl14_138 ),
inference(avatar_split_clause,[],[f5074,f4808,f5078]) ).
tff(f5078,plain,
( spl14_140
<=> ( t2tb3(sK8) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK8)),cons(a1,cons_proj_1(a1,t2tb3(sK10)),sK1(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_140])]) ).
tff(f5074,plain,
( ( t2tb3(sK8) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK8)),cons(a1,cons_proj_1(a1,t2tb3(sK10)),sK1(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK8)))) )
| ~ spl14_138 ),
inference(resolution,[],[f4810,f203]) ).
tff(f4816,plain,
( spl14_139
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f4788,f4781,f4813]) ).
tff(f4813,plain,
( spl14_139
<=> mem(a1,cons_proj_1(a1,t2tb3(sK10)),cons(a1,witness(a1),t2tb3(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_139])]) ).
tff(f4781,plain,
( spl14_136
<=> mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_136])]) ).
tff(f4788,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK10)),cons(a1,witness(a1),t2tb3(sK10)))
| ~ spl14_136 ),
inference(unit_resulting_resolution,[],[f270,f263,f4783,f251]) ).
tff(f4783,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK10))
| ~ spl14_136 ),
inference(avatar_component_clause,[],[f4781]) ).
tff(f4811,plain,
( spl14_138
| ~ spl14_14
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f4798,f4781,f365,f4808]) ).
tff(f4798,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK8))
| ~ spl14_14
| ~ spl14_136 ),
inference(resolution,[],[f4783,f800]) ).
tff(f800,plain,
( ! [X0: uni] :
( ~ mem(a1,X0,t2tb3(sK10))
| mem(a1,X0,t2tb3(sK8)) )
| ~ spl14_14 ),
inference(superposition,[],[f240,f367]) ).
tff(f240,plain,
! [X2: uni,X3: ty,X0: uni,X1: uni] :
( mem(X3,X0,infix_plpl(X3,X1,X2))
| ~ mem(X3,X0,X2) ),
inference(cnf_transformation,[],[f173]) ).
tff(f4806,plain,
( spl14_137
| ~ spl14_136 ),
inference(avatar_split_clause,[],[f4799,f4781,f4803]) ).
tff(f4803,plain,
( spl14_137
<=> ( t2tb3(sK10) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK10)),cons(a1,cons_proj_1(a1,t2tb3(sK10)),sK1(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_137])]) ).
tff(f4799,plain,
( ( t2tb3(sK10) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK10)),cons(a1,cons_proj_1(a1,t2tb3(sK10)),sK1(cons_proj_1(a1,t2tb3(sK10)),a1,t2tb3(sK10)))) )
| ~ spl14_136 ),
inference(resolution,[],[f4783,f203]) ).
tff(f4784,plain,
( spl14_136
| ~ spl14_50 ),
inference(avatar_split_clause,[],[f4779,f1140,f4781]) ).
tff(f1140,plain,
( spl14_50
<=> ( t2tb3(sK10) = cons(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK12)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_50])]) ).
tff(f4779,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK10))
| ~ spl14_50 ),
inference(subsumption_resolution,[],[f4763,f263]) ).
tff(f4763,plain,
( ~ sort(a1,cons_proj_1(a1,t2tb3(sK10)))
| mem(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK10))
| ~ spl14_50 ),
inference(superposition,[],[f282,f1142]) ).
tff(f1142,plain,
( ( t2tb3(sK10) = cons(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK12)) )
| ~ spl14_50 ),
inference(avatar_component_clause,[],[f1140]) ).
tff(f4778,plain,
( spl14_135
| ~ spl14_41
| ~ spl14_50 ),
inference(avatar_split_clause,[],[f4773,f1140,f829,f4775]) ).
tff(f4775,plain,
( spl14_135
<=> ( some(a1,t2tb(sK13)) = some(a1,cons_proj_1(a1,t2tb3(sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_135])]) ).
tff(f4773,plain,
( ( some(a1,t2tb(sK13)) = some(a1,cons_proj_1(a1,t2tb3(sK10))) )
| ~ spl14_41
| ~ spl14_50 ),
inference(forward_demodulation,[],[f4762,f831]) ).
tff(f4762,plain,
( ( nth(a1,0,t2tb3(sK10)) = some(a1,cons_proj_1(a1,t2tb3(sK10))) )
| ~ spl14_50 ),
inference(superposition,[],[f272,f1142]) ).
tff(f4725,plain,
( spl14_134
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f4713,f4525,f4722]) ).
tff(f4722,plain,
( spl14_134
<=> ( t2tb3(sK3) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK3)),a1,t2tb3(sK3)),cons(a1,cons_proj_1(a1,t2tb3(sK3)),sK1(cons_proj_1(a1,t2tb3(sK3)),a1,t2tb3(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_134])]) ).
tff(f4525,plain,
( spl14_128
<=> mem(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_128])]) ).
tff(f4713,plain,
( ( t2tb3(sK3) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK3)),a1,t2tb3(sK3)),cons(a1,cons_proj_1(a1,t2tb3(sK3)),sK1(cons_proj_1(a1,t2tb3(sK3)),a1,t2tb3(sK3)))) )
| ~ spl14_128 ),
inference(resolution,[],[f4527,f203]) ).
tff(f4527,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK3))
| ~ spl14_128 ),
inference(avatar_component_clause,[],[f4525]) ).
tff(f4720,plain,
( spl14_133
| ~ spl14_128 ),
inference(avatar_split_clause,[],[f4703,f4525,f4717]) ).
tff(f4717,plain,
( spl14_133
<=> mem(a1,cons_proj_1(a1,t2tb3(sK3)),cons(a1,witness(a1),t2tb3(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_133])]) ).
tff(f4703,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK3)),cons(a1,witness(a1),t2tb3(sK3)))
| ~ spl14_128 ),
inference(unit_resulting_resolution,[],[f270,f263,f4527,f251]) ).
tff(f4640,plain,
( ~ spl14_132
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f4547,f407,f401,f4637]) ).
tff(f4637,plain,
( spl14_132
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_132])]) ).
tff(f4547,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f403,f260,f2477,f249]) ).
tff(f4632,plain,
( ~ spl14_131
| spl14_17
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f4548,f407,f401,f391,f4629]) ).
tff(f4629,plain,
( spl14_131
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_131])]) ).
tff(f4548,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_17
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f2477,f249]) ).
tff(f4618,plain,
( ~ spl14_130
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f4553,f407,f401,f4615]) ).
tff(f4615,plain,
( spl14_130
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_130])]) ).
tff(f4553,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f409,f385,f2477,f249]) ).
tff(f4610,plain,
( ~ spl14_129
| spl14_18
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f4556,f419,f407,f401,f4607]) ).
tff(f4607,plain,
( spl14_129
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_129])]) ).
tff(f4556,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f2477,f249]) ).
tff(f4528,plain,
( spl14_128
| ~ spl14_49 ),
inference(avatar_split_clause,[],[f4523,f1131,f4525]) ).
tff(f1131,plain,
( spl14_49
<=> ( t2tb3(sK3) = cons(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK8)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_49])]) ).
tff(f4523,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK3))
| ~ spl14_49 ),
inference(subsumption_resolution,[],[f4508,f263]) ).
tff(f4508,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK3))
| ~ sort(a1,cons_proj_1(a1,t2tb3(sK3)))
| ~ spl14_49 ),
inference(superposition,[],[f282,f1133]) ).
tff(f1133,plain,
( ( t2tb3(sK3) = cons(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK8)) )
| ~ spl14_49 ),
inference(avatar_component_clause,[],[f1131]) ).
tff(f4522,plain,
( spl14_127
| ~ spl14_40
| ~ spl14_49 ),
inference(avatar_split_clause,[],[f4517,f1131,f824,f4519]) ).
tff(f4519,plain,
( spl14_127
<=> ( some(a1,t2tb(sK13)) = some(a1,cons_proj_1(a1,t2tb3(sK3))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_127])]) ).
tff(f824,plain,
( spl14_40
<=> ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_40])]) ).
tff(f4517,plain,
( ( some(a1,t2tb(sK13)) = some(a1,cons_proj_1(a1,t2tb3(sK3))) )
| ~ spl14_40
| ~ spl14_49 ),
inference(forward_demodulation,[],[f4507,f826]) ).
tff(f826,plain,
( ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK3)) )
| ~ spl14_40 ),
inference(avatar_component_clause,[],[f824]) ).
tff(f4507,plain,
( ( nth(a1,0,t2tb3(sK3)) = some(a1,cons_proj_1(a1,t2tb3(sK3))) )
| ~ spl14_49 ),
inference(superposition,[],[f272,f1133]) ).
tff(f4495,plain,
( spl14_126
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f4483,f4460,f4492]) ).
tff(f4492,plain,
( spl14_126
<=> ( t2tb3(sK5) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK5)),a1,t2tb3(sK5)),cons(a1,cons_proj_1(a1,t2tb3(sK5)),sK1(cons_proj_1(a1,t2tb3(sK5)),a1,t2tb3(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_126])]) ).
tff(f4460,plain,
( spl14_123
<=> mem(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_123])]) ).
tff(f4483,plain,
( ( t2tb3(sK5) = infix_plpl(a1,sK0(cons_proj_1(a1,t2tb3(sK5)),a1,t2tb3(sK5)),cons(a1,cons_proj_1(a1,t2tb3(sK5)),sK1(cons_proj_1(a1,t2tb3(sK5)),a1,t2tb3(sK5)))) )
| ~ spl14_123 ),
inference(resolution,[],[f4462,f203]) ).
tff(f4462,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK5))
| ~ spl14_123 ),
inference(avatar_component_clause,[],[f4460]) ).
tff(f4490,plain,
( spl14_125
| ~ spl14_123 ),
inference(avatar_split_clause,[],[f4473,f4460,f4487]) ).
tff(f4487,plain,
( spl14_125
<=> mem(a1,cons_proj_1(a1,t2tb3(sK5)),cons(a1,witness(a1),t2tb3(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_125])]) ).
tff(f4473,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK5)),cons(a1,witness(a1),t2tb3(sK5)))
| ~ spl14_123 ),
inference(unit_resulting_resolution,[],[f270,f263,f4462,f251]) ).
tff(f4469,plain,
( spl14_124
| ~ spl14_39
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f4464,f1125,f819,f4466]) ).
tff(f4466,plain,
( spl14_124
<=> ( some(a1,t2tb(sK6)) = some(a1,cons_proj_1(a1,t2tb3(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_124])]) ).
tff(f819,plain,
( spl14_39
<=> ( some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_39])]) ).
tff(f1125,plain,
( spl14_48
<=> ( t2tb3(sK5) = cons(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_48])]) ).
tff(f4464,plain,
( ( some(a1,t2tb(sK6)) = some(a1,cons_proj_1(a1,t2tb3(sK5))) )
| ~ spl14_39
| ~ spl14_48 ),
inference(forward_demodulation,[],[f4448,f821]) ).
tff(f821,plain,
( ( some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK5)) )
| ~ spl14_39 ),
inference(avatar_component_clause,[],[f819]) ).
tff(f4448,plain,
( ( nth(a1,0,t2tb3(sK5)) = some(a1,cons_proj_1(a1,t2tb3(sK5))) )
| ~ spl14_48 ),
inference(superposition,[],[f272,f1127]) ).
tff(f1127,plain,
( ( t2tb3(sK5) = cons(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK7)) )
| ~ spl14_48 ),
inference(avatar_component_clause,[],[f1125]) ).
tff(f4463,plain,
( spl14_123
| ~ spl14_48 ),
inference(avatar_split_clause,[],[f4458,f1125,f4460]) ).
tff(f4458,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK5))
| ~ spl14_48 ),
inference(subsumption_resolution,[],[f4449,f263]) ).
tff(f4449,plain,
( mem(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK5))
| ~ sort(a1,cons_proj_1(a1,t2tb3(sK5)))
| ~ spl14_48 ),
inference(superposition,[],[f282,f1127]) ).
tff(f4376,plain,
( ~ spl14_122
| spl14_19
| spl14_20 ),
inference(avatar_split_clause,[],[f4305,f419,f407,f4373]) ).
tff(f4373,plain,
( spl14_122
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_122])]) ).
tff(f4305,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_19
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f2474,f249]) ).
tff(f4365,plain,
( ~ spl14_121
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f4313,f407,f401,f4362]) ).
tff(f4362,plain,
( spl14_121
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_121])]) ).
tff(f4313,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f385,f403,f445,f2474,f249]) ).
tff(f4360,plain,
( ~ spl14_120
| spl14_17
| spl14_19 ),
inference(avatar_split_clause,[],[f4316,f407,f391,f4357]) ).
tff(f4357,plain,
( spl14_120
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_120])]) ).
tff(f4316,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))))
| spl14_17
| spl14_19 ),
inference(unit_resulting_resolution,[],[f385,f393,f445,f2474,f249]) ).
tff(f4267,plain,
( ~ spl14_119
| spl14_20 ),
inference(avatar_split_clause,[],[f4244,f419,f4264]) ).
tff(f4264,plain,
( spl14_119
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_119])]) ).
tff(f4244,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f260,f421,f445,f2401,f249]) ).
tff(f3841,plain,
( spl14_118
| spl14_117
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f3832,f925,f3834,f3839]) ).
tff(f3839,plain,
( spl14_118
<=> ! [X0: ty,X1: uni] : ( none(X0) = nth(X0,length(a1,t2tb3(sK7)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_118])]) ).
tff(f3834,plain,
( spl14_117
<=> $less(0,length(a1,t2tb3(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_117])]) ).
tff(f3832,plain,
( ! [X0: ty,X1: uni] :
( ( none(X0) = nth(X0,length(a1,t2tb3(sK7)),X1) )
| $less(0,length(a1,t2tb3(sK5))) )
| ~ spl14_46 ),
inference(superposition,[],[f283,f927]) ).
tff(f283,plain,
! [X2: $int,X0: ty,X1: uni] :
( $less(0,$sum(1,X2))
| ( none(X0) = nth(X0,X2,X1) ) ),
inference(evaluation,[],[f267]) ).
tff(f267,plain,
! [X2: $int,X0: ty,X1: uni] :
( ( none(X0) = nth(X0,X2,X1) )
| ~ $less(X2,0) ),
inference(cnf_transformation,[],[f190]) ).
tff(f190,plain,
! [X0: ty,X1: uni,X2: $int] :
( ~ $less(X2,0)
| ( none(X0) = nth(X0,X2,X1) ) ),
inference(rectify,[],[f134]) ).
tff(f134,plain,
! [X1: ty,X2: uni,X0: $int] :
( ~ $less(X0,0)
| ( none(X1) = nth(X1,X0,X2) ) ),
inference(ennf_transformation,[],[f93]) ).
tff(f93,plain,
! [X0: $int,X2: uni,X1: ty] :
( $less(X0,0)
=> ( none(X1) = nth(X1,X0,X2) ) ),
inference(rectify,[],[f42]) ).
tff(f42,axiom,
! [X17: $int,X0: ty,X12: uni] :
( $less(X17,0)
=> ( none(X0) = nth(X0,X17,X12) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3837,plain,
( spl14_117
| ~ spl14_46 ),
inference(avatar_split_clause,[],[f3831,f925,f3834]) ).
tff(f3831,plain,
( $less(0,length(a1,t2tb3(sK5)))
| ~ spl14_46 ),
inference(superposition,[],[f286,f927]) ).
tff(f286,plain,
! [X0: ty,X1: uni] : $less(0,$sum(1,length(X0,X1))),
inference(evaluation,[],[f229]) ).
tff(f229,plain,
! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
inference(cnf_transformation,[],[f102]) ).
tff(f102,plain,
! [X0: ty,X1: uni] : ~ $less(length(X0,X1),0),
inference(rectify,[],[f65]) ).
tff(f65,plain,
! [X0: ty,X12: uni] : ~ $less(length(X0,X12),0),
inference(theory_normalization,[],[f21]) ).
tff(f21,axiom,
! [X0: ty,X12: uni] : $lesseq(0,length(X0,X12)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3803,plain,
( spl14_116
| spl14_115
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f3794,f920,f3796,f3801]) ).
tff(f3801,plain,
( spl14_116
<=> ! [X0: ty,X1: uni] : ( none(X0) = nth(X0,length(a1,t2tb3(sK5)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_116])]) ).
tff(f3796,plain,
( spl14_115
<=> $less(0,length(a1,t2tb3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_115])]) ).
tff(f3794,plain,
( ! [X0: ty,X1: uni] :
( $less(0,length(a1,t2tb3(sK2)))
| ( none(X0) = nth(X0,length(a1,t2tb3(sK5)),X1) ) )
| ~ spl14_45 ),
inference(superposition,[],[f283,f922]) ).
tff(f3799,plain,
( spl14_115
| ~ spl14_45 ),
inference(avatar_split_clause,[],[f3793,f920,f3796]) ).
tff(f3793,plain,
( $less(0,length(a1,t2tb3(sK2)))
| ~ spl14_45 ),
inference(superposition,[],[f286,f922]) ).
tff(f3720,plain,
( spl14_114
| ~ spl14_44 ),
inference(avatar_split_clause,[],[f3710,f915,f3716]) ).
tff(f3710,plain,
( $less(0,length(a1,t2tb3(sK10)))
| ~ spl14_44 ),
inference(superposition,[],[f286,f917]) ).
tff(f3719,plain,
( spl14_113
| spl14_114
| ~ spl14_44 ),
inference(avatar_split_clause,[],[f3711,f915,f3716,f3713]) ).
tff(f3713,plain,
( spl14_113
<=> ! [X0: ty,X1: uni] : ( none(X0) = nth(X0,length(a1,t2tb3(sK12)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_113])]) ).
tff(f3711,plain,
( ! [X0: ty,X1: uni] :
( ( none(X0) = nth(X0,length(a1,t2tb3(sK12)),X1) )
| $less(0,length(a1,t2tb3(sK10))) )
| ~ spl14_44 ),
inference(superposition,[],[f283,f917]) ).
tff(f3630,plain,
( ~ spl14_112
| spl14_18 ),
inference(avatar_split_clause,[],[f3610,f401,f3627]) ).
tff(f3627,plain,
( spl14_112
<=> mem(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_112])]) ).
tff(f3610,plain,
( ~ mem(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f260,f403,f385,f2137,f249]) ).
tff(f2137,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK3),cons(list(X0),nil(a1),cons(list(X0),nil(a1),nil(list(X0)))))
| spl14_18 ),
inference(forward_demodulation,[],[f2136,f195]) ).
tff(f2136,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK3),cons(list(X0),nil(a1),infix_plpl(list(X0),nil(list(X0)),cons(list(X0),nil(a1),nil(list(X0))))))
| spl14_18 ),
inference(forward_demodulation,[],[f2119,f196]) ).
tff(f2119,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK3),infix_plpl(list(X0),cons(list(X0),nil(a1),nil(list(X0))),cons(list(X0),nil(a1),nil(list(X0)))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f1760,f1760,f242]) ).
tff(f1760,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK3),cons(list(X0),nil(a1),nil(list(X0))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f403,f249]) ).
tff(f3603,plain,
( spl14_110
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f3593,f910,f3596]) ).
tff(f3596,plain,
( spl14_110
<=> $less(0,length(a1,t2tb3(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_110])]) ).
tff(f3593,plain,
( $less(0,length(a1,t2tb3(sK3)))
| ~ spl14_43 ),
inference(superposition,[],[f286,f912]) ).
tff(f3602,plain,
( spl14_110
| spl14_111
| ~ spl14_43 ),
inference(avatar_split_clause,[],[f3594,f910,f3600,f3596]) ).
tff(f3600,plain,
( spl14_111
<=> ! [X0: ty,X1: uni] : ( none(X0) = nth(X0,length(a1,t2tb3(sK8)),X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_111])]) ).
tff(f3594,plain,
( ! [X0: ty,X1: uni] :
( $less(0,length(a1,t2tb3(sK3)))
| ( none(X0) = nth(X0,length(a1,t2tb3(sK8)),X1) ) )
| ~ spl14_43 ),
inference(superposition,[],[f283,f912]) ).
tff(f3590,plain,
( spl14_109
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f3578,f2344,f3587]) ).
tff(f3587,plain,
( spl14_109
<=> ( cons(a1,witness(a1),t2tb3(sK2)) = infix_plpl(a1,sK0(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK2))),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_109])]) ).
tff(f2344,plain,
( spl14_78
<=> mem(a1,t2tb(sK6),cons(a1,witness(a1),t2tb3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_78])]) ).
tff(f3578,plain,
( ( cons(a1,witness(a1),t2tb3(sK2)) = infix_plpl(a1,sK0(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK2))),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK2))))) )
| ~ spl14_78 ),
inference(resolution,[],[f2346,f203]) ).
tff(f2346,plain,
( mem(a1,t2tb(sK6),cons(a1,witness(a1),t2tb3(sK2)))
| ~ spl14_78 ),
inference(avatar_component_clause,[],[f2344]) ).
tff(f3585,plain,
( spl14_108
| ~ spl14_78 ),
inference(avatar_split_clause,[],[f3567,f2344,f3582]) ).
tff(f3582,plain,
( spl14_108
<=> mem(a1,t2tb(sK6),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_108])]) ).
tff(f3567,plain,
( mem(a1,t2tb(sK6),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK2))))
| ~ spl14_78 ),
inference(unit_resulting_resolution,[],[f270,f244,f2346,f251]) ).
tff(f3543,plain,
( spl14_107
| ~ spl14_57 ),
inference(avatar_split_clause,[],[f3518,f1573,f3540]) ).
tff(f3540,plain,
( spl14_107
<=> ( cons(a1,witness(a1),t2tb3(sK8)) = infix_plpl(a1,sK0(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK8))),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK8))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_107])]) ).
tff(f1573,plain,
( spl14_57
<=> mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK8))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_57])]) ).
tff(f3518,plain,
( ( cons(a1,witness(a1),t2tb3(sK8)) = infix_plpl(a1,sK0(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK8))),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK8))))) )
| ~ spl14_57 ),
inference(unit_resulting_resolution,[],[f1575,f203]) ).
tff(f1575,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK8)))
| ~ spl14_57 ),
inference(avatar_component_clause,[],[f1573]) ).
tff(f3538,plain,
( spl14_106
| ~ spl14_57 ),
inference(avatar_split_clause,[],[f3520,f1573,f3535]) ).
tff(f3535,plain,
( spl14_106
<=> mem(a1,t2tb(sK13),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK8)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_106])]) ).
tff(f3520,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK8))))
| ~ spl14_57 ),
inference(unit_resulting_resolution,[],[f270,f244,f1575,f251]) ).
tff(f3483,plain,
( ~ spl14_104
| ~ spl14_105
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f3464,f319,f3480,f3476]) ).
tff(f3476,plain,
( spl14_104
<=> ( sK3 = tb2t3(infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK12)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_104])]) ).
tff(f3480,plain,
( spl14_105
<=> ( length(a1,t2tb3(sK2)) = length(a1,infix_plpl(a1,t2tb3(sK7),t2tb3(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_105])]) ).
tff(f3464,plain,
( ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,t2tb3(sK7),t2tb3(sK7))) )
| ( sK3 != tb2t3(infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,t2tb3(sK11),t2tb3(sK12)))) )
| ~ spl14_7 ),
inference(superposition,[],[f2074,f1024]) ).
tff(f1024,plain,
( ! [X0: uni] : ( length(a1,infix_plpl(a1,X0,t2tb3(sK11))) = length(a1,infix_plpl(a1,X0,t2tb3(sK7))) )
| ~ spl14_7 ),
inference(forward_demodulation,[],[f1016,f194]) ).
tff(f1016,plain,
( ! [X0: uni] : ( length(a1,infix_plpl(a1,X0,t2tb3(sK11))) = $sum(length(a1,X0),length(a1,t2tb3(sK7))) )
| ~ spl14_7 ),
inference(superposition,[],[f194,f321]) ).
tff(f2074,plain,
( ! [X0: uni] :
( ( length(a1,t2tb3(sK2)) != length(a1,infix_plpl(a1,t2tb3(sK7),X0)) )
| ( sK3 != tb2t3(infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,X0,t2tb3(sK12)))) ) )
| ~ spl14_7 ),
inference(superposition,[],[f1443,f1021]) ).
tff(f1021,plain,
( ! [X0: uni] : ( length(a1,infix_plpl(a1,t2tb3(sK11),X0)) = length(a1,infix_plpl(a1,t2tb3(sK7),X0)) )
| ~ spl14_7 ),
inference(forward_demodulation,[],[f1013,f194]) ).
tff(f1013,plain,
( ! [X0: uni] : ( length(a1,infix_plpl(a1,t2tb3(sK11),X0)) = $sum(length(a1,t2tb3(sK7)),length(a1,X0)) )
| ~ spl14_7 ),
inference(superposition,[],[f194,f321]) ).
tff(f3474,plain,
( ~ spl14_102
| ~ spl14_103
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f3465,f319,f3471,f3467]) ).
tff(f3471,plain,
( spl14_103
<=> ( length(a1,t2tb3(sK2)) = length(a1,t2tb3(sK7)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_103])]) ).
tff(f3465,plain,
( ( length(a1,t2tb3(sK2)) != length(a1,t2tb3(sK7)) )
| ( sK3 != tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK12))) )
| ~ spl14_7 ),
inference(forward_demodulation,[],[f3463,f195]) ).
tff(f3463,plain,
( ( sK3 != tb2t3(infix_plpl(a1,t2tb3(sK11),infix_plpl(a1,nil(a1),t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != length(a1,t2tb3(sK7)) )
| ~ spl14_7 ),
inference(superposition,[],[f2074,f228]) ).
tff(f228,plain,
! [X0: ty,X1: uni] : ( infix_plpl(X0,X1,nil(X0)) = X1 ),
inference(cnf_transformation,[],[f86]) ).
tff(f86,plain,
! [X0: ty,X1: uni] : ( infix_plpl(X0,X1,nil(X0)) = X1 ),
inference(rectify,[],[f26]) ).
tff(f26,axiom,
! [X0: ty,X12: uni] : ( infix_plpl(X0,X12,nil(X0)) = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f3121,plain,
( spl14_101
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f3109,f1589,f3118]) ).
tff(f3118,plain,
( spl14_101
<=> ( cons(a1,witness(a1),t2tb3(sK2)) = infix_plpl(a1,sK0(t2tb(sK4),a1,cons(a1,witness(a1),t2tb3(sK2))),cons(a1,t2tb(sK4),sK1(t2tb(sK4),a1,cons(a1,witness(a1),t2tb3(sK2))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_101])]) ).
tff(f1589,plain,
( spl14_60
<=> mem(a1,t2tb(sK4),cons(a1,witness(a1),t2tb3(sK2))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_60])]) ).
tff(f3109,plain,
( ( cons(a1,witness(a1),t2tb3(sK2)) = infix_plpl(a1,sK0(t2tb(sK4),a1,cons(a1,witness(a1),t2tb3(sK2))),cons(a1,t2tb(sK4),sK1(t2tb(sK4),a1,cons(a1,witness(a1),t2tb3(sK2))))) )
| ~ spl14_60 ),
inference(resolution,[],[f1591,f203]) ).
tff(f1591,plain,
( mem(a1,t2tb(sK4),cons(a1,witness(a1),t2tb3(sK2)))
| ~ spl14_60 ),
inference(avatar_component_clause,[],[f1589]) ).
tff(f3116,plain,
( spl14_100
| ~ spl14_60 ),
inference(avatar_split_clause,[],[f3098,f1589,f3113]) ).
tff(f3113,plain,
( spl14_100
<=> mem(a1,t2tb(sK4),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK2)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_100])]) ).
tff(f3098,plain,
( mem(a1,t2tb(sK4),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK2))))
| ~ spl14_60 ),
inference(unit_resulting_resolution,[],[f270,f244,f1591,f251]) ).
tff(f2989,plain,
( spl14_99
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f2963,f1584,f2986]) ).
tff(f2986,plain,
( spl14_99
<=> ( cons(a1,witness(a1),t2tb3(sK5)) = infix_plpl(a1,sK0(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK5))),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK5))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_99])]) ).
tff(f1584,plain,
( spl14_59
<=> mem(a1,t2tb(sK6),cons(a1,witness(a1),t2tb3(sK5))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_59])]) ).
tff(f2963,plain,
( ( cons(a1,witness(a1),t2tb3(sK5)) = infix_plpl(a1,sK0(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK5))),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,cons(a1,witness(a1),t2tb3(sK5))))) )
| ~ spl14_59 ),
inference(unit_resulting_resolution,[],[f1586,f203]) ).
tff(f1586,plain,
( mem(a1,t2tb(sK6),cons(a1,witness(a1),t2tb3(sK5)))
| ~ spl14_59 ),
inference(avatar_component_clause,[],[f1584]) ).
tff(f2984,plain,
( spl14_98
| ~ spl14_59 ),
inference(avatar_split_clause,[],[f2965,f1584,f2981]) ).
tff(f2981,plain,
( spl14_98
<=> mem(a1,t2tb(sK6),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK5)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_98])]) ).
tff(f2965,plain,
( mem(a1,t2tb(sK6),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK5))))
| ~ spl14_59 ),
inference(unit_resulting_resolution,[],[f270,f244,f1586,f251]) ).
tff(f2869,plain,
( spl14_97
| ~ spl14_58 ),
inference(avatar_split_clause,[],[f2845,f1579,f2866]) ).
tff(f2866,plain,
( spl14_97
<=> mem(a1,t2tb(sK13),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK10)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_97])]) ).
tff(f1579,plain,
( spl14_58
<=> mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK10))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_58])]) ).
tff(f2845,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK10))))
| ~ spl14_58 ),
inference(unit_resulting_resolution,[],[f270,f244,f1581,f251]) ).
tff(f1581,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK10)))
| ~ spl14_58 ),
inference(avatar_component_clause,[],[f1579]) ).
tff(f2863,plain,
( spl14_96
| ~ spl14_58 ),
inference(avatar_split_clause,[],[f2856,f1579,f2860]) ).
tff(f2860,plain,
( spl14_96
<=> ( cons(a1,witness(a1),t2tb3(sK10)) = infix_plpl(a1,sK0(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK10))),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK10))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_96])]) ).
tff(f2856,plain,
( ( cons(a1,witness(a1),t2tb3(sK10)) = infix_plpl(a1,sK0(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK10))),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK10))))) )
| ~ spl14_58 ),
inference(resolution,[],[f1581,f203]) ).
tff(f2819,plain,
( ~ spl14_95
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f2763,f419,f391,f2816]) ).
tff(f2816,plain,
( spl14_95
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_95])]) ).
tff(f2763,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f1834,f249]) ).
tff(f2812,plain,
( ~ spl14_94
| spl14_20 ),
inference(avatar_split_clause,[],[f2771,f419,f2809]) ).
tff(f2809,plain,
( spl14_94
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_94])]) ).
tff(f2771,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK10),nil(list(a1)))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f237,f421,f385,f1834,f249]) ).
tff(f2733,plain,
( ~ spl14_93
| spl14_17
| spl14_20 ),
inference(avatar_split_clause,[],[f2691,f419,f391,f2730]) ).
tff(f2730,plain,
( spl14_93
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_93])]) ).
tff(f2691,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| spl14_17
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f421,f445,f1827,f249]) ).
tff(f2726,plain,
( ~ spl14_92
| spl14_17
| spl14_19 ),
inference(avatar_split_clause,[],[f2667,f407,f391,f2723]) ).
tff(f2723,plain,
( spl14_92
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_92])]) ).
tff(f2667,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| spl14_17
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f409,f260,f1827,f249]) ).
tff(f2719,plain,
( ~ spl14_91
| spl14_17
| spl14_18 ),
inference(avatar_split_clause,[],[f2684,f401,f391,f2716]) ).
tff(f2716,plain,
( spl14_91
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_91])]) ).
tff(f2684,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| spl14_17
| spl14_18 ),
inference(unit_resulting_resolution,[],[f237,f403,f445,f1827,f249]) ).
tff(f2714,plain,
( ~ spl14_90
| spl14_17 ),
inference(avatar_split_clause,[],[f2676,f391,f2711]) ).
tff(f2711,plain,
( spl14_90
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_90])]) ).
tff(f2676,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK5),nil(list(a1)))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f237,f393,f385,f1827,f249]) ).
tff(f2655,plain,
( spl14_89
| ~ spl14_56 ),
inference(avatar_split_clause,[],[f2643,f1566,f2652]) ).
tff(f2652,plain,
( spl14_89
<=> ( cons(a1,witness(a1),t2tb3(sK3)) = infix_plpl(a1,sK0(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK3))),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK3))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_89])]) ).
tff(f1566,plain,
( spl14_56
<=> mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK3))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_56])]) ).
tff(f2643,plain,
( ( cons(a1,witness(a1),t2tb3(sK3)) = infix_plpl(a1,sK0(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK3))),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,cons(a1,witness(a1),t2tb3(sK3))))) )
| ~ spl14_56 ),
inference(resolution,[],[f1568,f203]) ).
tff(f1568,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK3)))
| ~ spl14_56 ),
inference(avatar_component_clause,[],[f1566]) ).
tff(f2650,plain,
( spl14_88
| ~ spl14_56 ),
inference(avatar_split_clause,[],[f2632,f1566,f2647]) ).
tff(f2647,plain,
( spl14_88
<=> mem(a1,t2tb(sK13),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK3)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_88])]) ).
tff(f2632,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),cons(a1,witness(a1),t2tb3(sK3))))
| ~ spl14_56 ),
inference(unit_resulting_resolution,[],[f270,f244,f1568,f251]) ).
tff(f2591,plain,
( ~ spl14_87
| spl14_17
| spl14_18 ),
inference(avatar_split_clause,[],[f2537,f401,f391,f2588]) ).
tff(f2588,plain,
( spl14_87
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_87])]) ).
tff(f2537,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK3),nil(list(a1)))))
| spl14_17
| spl14_18 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f1820,f249]) ).
tff(f2586,plain,
( ~ spl14_86
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f2550,f407,f401,f2583]) ).
tff(f2583,plain,
( spl14_86
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_86])]) ).
tff(f2550,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK3),nil(list(a1)))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f385,f409,f445,f1820,f249]) ).
tff(f2581,plain,
( ~ spl14_85
| spl14_18 ),
inference(avatar_split_clause,[],[f2553,f401,f2578]) ).
tff(f2578,plain,
( spl14_85
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_85])]) ).
tff(f2553,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK3),nil(list(a1)))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f385,f403,f445,f1820,f249]) ).
tff(f2512,plain,
( ~ spl14_84
| spl14_17
| spl14_19 ),
inference(avatar_split_clause,[],[f2460,f407,f391,f2509]) ).
tff(f2509,plain,
( spl14_84
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_84])]) ).
tff(f2460,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),cons(list(a1),t2tb3(sK2),nil(list(a1)))))
| spl14_17
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f393,f260,f1813,f249]) ).
tff(f2506,plain,
( ~ spl14_83
| spl14_18
| spl14_19 ),
inference(avatar_split_clause,[],[f2466,f407,f401,f2503]) ).
tff(f2503,plain,
( spl14_83
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_83])]) ).
tff(f2466,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),cons(list(a1),t2tb3(sK2),nil(list(a1)))))
| spl14_18
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f403,f385,f1813,f249]) ).
tff(f2501,plain,
( ~ spl14_82
| spl14_19 ),
inference(avatar_split_clause,[],[f2472,f407,f2498]) ).
tff(f2498,plain,
( spl14_82
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_82])]) ).
tff(f2472,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK2),cons(list(a1),t2tb3(sK2),nil(list(a1)))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f237,f409,f445,f1813,f249]) ).
tff(f2396,plain,
( ~ spl14_81
| spl14_20 ),
inference(avatar_split_clause,[],[f2380,f419,f2393]) ).
tff(f2393,plain,
( spl14_81
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_81])]) ).
tff(f2380,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f260,f421,f445,f1774,f249]) ).
tff(f2360,plain,
( ~ spl14_79
| spl14_80 ),
inference(avatar_split_clause,[],[f2352,f2358,f2354]) ).
tff(f2354,plain,
( spl14_79
<=> ( length(a1,t2tb3(sK2)) = 3 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_79])]) ).
tff(f2358,plain,
( spl14_80
<=> ! [X2: uni,X0: uni,X1: uni] : ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,t2tb3(sK12))))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_80])]) ).
tff(f2352,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != 3 ) ),
inference(evaluation,[],[f2351]) ).
tff(f2351,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( length(a1,t2tb3(sK2)) != $sum(3,0) )
| ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,t2tb3(sK12))))) ) ),
inference(forward_demodulation,[],[f2348,f274]) ).
tff(f2348,plain,
! [X2: uni,X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,cons(a1,X2,t2tb3(sK12))))) )
| ( length(a1,t2tb3(sK2)) != $sum(3,length(a1,nil(a1))) ) ),
inference(superposition,[],[f1411,f195]) ).
tff(f2347,plain,
( spl14_78
| ~ spl14_76 ),
inference(avatar_split_clause,[],[f2325,f2283,f2344]) ).
tff(f2283,plain,
( spl14_76
<=> mem(a1,t2tb(sK6),t2tb3(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_76])]) ).
tff(f2325,plain,
( mem(a1,t2tb(sK6),cons(a1,witness(a1),t2tb3(sK2)))
| ~ spl14_76 ),
inference(unit_resulting_resolution,[],[f270,f244,f2285,f251]) ).
tff(f2285,plain,
( mem(a1,t2tb(sK6),t2tb3(sK2))
| ~ spl14_76 ),
inference(avatar_component_clause,[],[f2283]) ).
tff(f2342,plain,
( spl14_77
| ~ spl14_76 ),
inference(avatar_split_clause,[],[f2335,f2283,f2339]) ).
tff(f2339,plain,
( spl14_77
<=> ( t2tb3(sK2) = infix_plpl(a1,sK0(t2tb(sK6),a1,t2tb3(sK2)),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,t2tb3(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_77])]) ).
tff(f2335,plain,
( ( t2tb3(sK2) = infix_plpl(a1,sK0(t2tb(sK6),a1,t2tb3(sK2)),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,t2tb3(sK2)))) )
| ~ spl14_76 ),
inference(resolution,[],[f2285,f203]) ).
tff(f2286,plain,
( spl14_76
| ~ spl14_15
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f2281,f722,f370,f2283]) ).
tff(f722,plain,
( spl14_36
<=> mem(a1,t2tb(sK6),t2tb3(sK5)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_36])]) ).
tff(f2281,plain,
( mem(a1,t2tb(sK6),t2tb3(sK2))
| ~ spl14_15
| ~ spl14_36 ),
inference(superposition,[],[f1466,f372]) ).
tff(f1466,plain,
( ! [X0: a] : mem(a1,t2tb(sK6),cons(a1,t2tb(X0),t2tb3(sK5)))
| ~ spl14_36 ),
inference(unit_resulting_resolution,[],[f244,f724,f244,f251]) ).
tff(f724,plain,
( mem(a1,t2tb(sK6),t2tb3(sK5))
| ~ spl14_36 ),
inference(avatar_component_clause,[],[f722]) ).
tff(f2133,plain,
( ~ spl14_75
| spl14_18 ),
inference(avatar_split_clause,[],[f2111,f401,f2130]) ).
tff(f2130,plain,
( spl14_75
<=> mem(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_75])]) ).
tff(f2111,plain,
( ~ mem(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f260,f403,f237,f1760,f249]) ).
tff(f2098,plain,
( spl14_74
| ~ spl14_7
| ~ spl14_14 ),
inference(avatar_split_clause,[],[f2071,f365,f319,f2095]) ).
tff(f2095,plain,
( spl14_74
<=> ( length(a1,t2tb3(sK8)) = length(a1,infix_plpl(a1,t2tb3(sK7),t2tb3(sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_74])]) ).
tff(f2071,plain,
( ( length(a1,t2tb3(sK8)) = length(a1,infix_plpl(a1,t2tb3(sK7),t2tb3(sK10))) )
| ~ spl14_7
| ~ spl14_14 ),
inference(superposition,[],[f1021,f367]) ).
tff(f1913,plain,
( ~ spl14_73
| spl14_19 ),
inference(avatar_split_clause,[],[f1894,f407,f1910]) ).
tff(f1910,plain,
( spl14_73
<=> mem(list(a1),t2tb3(sK2),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_73])]) ).
tff(f1894,plain,
( ~ mem(list(a1),t2tb3(sK2),cons(list(a1),nil(a1),cons(list(a1),nil(a1),nil(list(a1)))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f260,f409,f237,f1753,f249]) ).
tff(f1753,plain,
( ! [X0: ty] : ~ mem(list(X0),t2tb3(sK2),cons(list(X0),nil(a1),nil(list(X0))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f445,f445,f449,f409,f249]) ).
tff(f1879,plain,
( ~ spl14_72
| spl14_18 ),
inference(avatar_split_clause,[],[f1759,f401,f1876]) ).
tff(f1876,plain,
( spl14_72
<=> mem(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_72])]) ).
tff(f1759,plain,
( ~ mem(list(a1),t2tb3(sK3),cons(list(a1),nil(a1),nil(list(a1))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f385,f445,f449,f403,f249]) ).
tff(f1874,plain,
( ~ spl14_71
| spl14_18 ),
inference(avatar_split_clause,[],[f1817,f401,f1871]) ).
tff(f1871,plain,
( spl14_71
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_71])]) ).
tff(f1817,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK3),nil(list(a1))))
| spl14_18 ),
inference(unit_resulting_resolution,[],[f237,f385,f449,f403,f249]) ).
tff(f1869,plain,
( ~ spl14_70
| spl14_20 ),
inference(avatar_split_clause,[],[f1833,f419,f1866]) ).
tff(f1866,plain,
( spl14_70
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_70])]) ).
tff(f1833,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK10),nil(list(a1))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f385,f445,f449,f421,f249]) ).
tff(f1863,plain,
( ~ spl14_69
| spl14_19 ),
inference(avatar_split_clause,[],[f1751,f407,f1860]) ).
tff(f1860,plain,
( spl14_69
<=> mem(list(a1),t2tb3(sK2),cons(list(a1),nil(a1),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_69])]) ).
tff(f1751,plain,
( ~ mem(list(a1),t2tb3(sK2),cons(list(a1),nil(a1),nil(list(a1))))
| spl14_19 ),
inference(unit_resulting_resolution,[],[f260,f445,f449,f409,f249]) ).
tff(f1858,plain,
( ~ spl14_68
| spl14_17 ),
inference(avatar_split_clause,[],[f1822,f391,f1855]) ).
tff(f1855,plain,
( spl14_68
<=> mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_68])]) ).
tff(f1822,plain,
( ~ mem(list(a1),nil(a1),cons(list(a1),t2tb3(sK5),nil(list(a1))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f237,f260,f395,f393,f249]) ).
tff(f1853,plain,
( ~ spl14_67
| spl14_17 ),
inference(avatar_split_clause,[],[f1762,f391,f1850]) ).
tff(f1850,plain,
( spl14_67
<=> mem(list(a1),t2tb3(sK5),cons(list(a1),nil(a1),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_67])]) ).
tff(f1762,plain,
( ~ mem(list(a1),t2tb3(sK5),cons(list(a1),nil(a1),nil(list(a1))))
| spl14_17 ),
inference(unit_resulting_resolution,[],[f260,f237,f386,f393,f249]) ).
tff(f1848,plain,
( ~ spl14_66
| spl14_20 ),
inference(avatar_split_clause,[],[f1771,f419,f1845]) ).
tff(f1845,plain,
( spl14_66
<=> mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),nil(list(a1)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_66])]) ).
tff(f1771,plain,
( ~ mem(list(a1),t2tb3(sK10),cons(list(a1),nil(a1),nil(list(a1))))
| spl14_20 ),
inference(unit_resulting_resolution,[],[f260,f385,f449,f421,f249]) ).
tff(f1698,plain,
( spl14_65
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f1663,f716,f1695]) ).
tff(f1695,plain,
( spl14_65
<=> ( t2tb3(sK10) = infix_plpl(a1,sK0(t2tb(sK13),a1,t2tb3(sK10)),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,t2tb3(sK10)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_65])]) ).
tff(f716,plain,
( spl14_35
<=> mem(a1,t2tb(sK13),t2tb3(sK10)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_35])]) ).
tff(f1663,plain,
( ( t2tb3(sK10) = infix_plpl(a1,sK0(t2tb(sK13),a1,t2tb3(sK10)),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,t2tb3(sK10)))) )
| ~ spl14_35 ),
inference(resolution,[],[f203,f718]) ).
tff(f718,plain,
( mem(a1,t2tb(sK13),t2tb3(sK10))
| ~ spl14_35 ),
inference(avatar_component_clause,[],[f716]) ).
tff(f1693,plain,
( spl14_64
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f1662,f1038,f1690]) ).
tff(f1690,plain,
( spl14_64
<=> ( t2tb3(sK8) = infix_plpl(a1,sK0(t2tb(sK13),a1,t2tb3(sK8)),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,t2tb3(sK8)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_64])]) ).
tff(f1038,plain,
( spl14_47
<=> mem(a1,t2tb(sK13),t2tb3(sK8)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_47])]) ).
tff(f1662,plain,
( ( t2tb3(sK8) = infix_plpl(a1,sK0(t2tb(sK13),a1,t2tb3(sK8)),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,t2tb3(sK8)))) )
| ~ spl14_47 ),
inference(resolution,[],[f203,f1040]) ).
tff(f1040,plain,
( mem(a1,t2tb(sK13),t2tb3(sK8))
| ~ spl14_47 ),
inference(avatar_component_clause,[],[f1038]) ).
tff(f1688,plain,
( spl14_63
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f1640,f728,f1685]) ).
tff(f1685,plain,
( spl14_63
<=> ( t2tb3(sK2) = infix_plpl(a1,sK0(t2tb(sK4),a1,t2tb3(sK2)),cons(a1,t2tb(sK4),sK1(t2tb(sK4),a1,t2tb3(sK2)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_63])]) ).
tff(f728,plain,
( spl14_37
<=> mem(a1,t2tb(sK4),t2tb3(sK2)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_37])]) ).
tff(f1640,plain,
( ( t2tb3(sK2) = infix_plpl(a1,sK0(t2tb(sK4),a1,t2tb3(sK2)),cons(a1,t2tb(sK4),sK1(t2tb(sK4),a1,t2tb3(sK2)))) )
| ~ spl14_37 ),
inference(unit_resulting_resolution,[],[f730,f203]) ).
tff(f730,plain,
( mem(a1,t2tb(sK4),t2tb3(sK2))
| ~ spl14_37 ),
inference(avatar_component_clause,[],[f728]) ).
tff(f1683,plain,
( spl14_62
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f1642,f722,f1680]) ).
tff(f1680,plain,
( spl14_62
<=> ( t2tb3(sK5) = infix_plpl(a1,sK0(t2tb(sK6),a1,t2tb3(sK5)),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,t2tb3(sK5)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_62])]) ).
tff(f1642,plain,
( ( t2tb3(sK5) = infix_plpl(a1,sK0(t2tb(sK6),a1,t2tb3(sK5)),cons(a1,t2tb(sK6),sK1(t2tb(sK6),a1,t2tb3(sK5)))) )
| ~ spl14_36 ),
inference(unit_resulting_resolution,[],[f724,f203]) ).
tff(f1678,plain,
( spl14_61
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f1660,f734,f1675]) ).
tff(f1675,plain,
( spl14_61
<=> ( t2tb3(sK3) = infix_plpl(a1,sK0(t2tb(sK13),a1,t2tb3(sK3)),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,t2tb3(sK3)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_61])]) ).
tff(f734,plain,
( spl14_38
<=> mem(a1,t2tb(sK13),t2tb3(sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_38])]) ).
tff(f1660,plain,
( ( t2tb3(sK3) = infix_plpl(a1,sK0(t2tb(sK13),a1,t2tb3(sK3)),cons(a1,t2tb(sK13),sK1(t2tb(sK13),a1,t2tb3(sK3)))) )
| ~ spl14_38 ),
inference(resolution,[],[f203,f736]) ).
tff(f736,plain,
( mem(a1,t2tb(sK13),t2tb3(sK3))
| ~ spl14_38 ),
inference(avatar_component_clause,[],[f734]) ).
tff(f1592,plain,
( spl14_60
| ~ spl14_37 ),
inference(avatar_split_clause,[],[f1453,f728,f1589]) ).
tff(f1453,plain,
( mem(a1,t2tb(sK4),cons(a1,witness(a1),t2tb3(sK2)))
| ~ spl14_37 ),
inference(unit_resulting_resolution,[],[f270,f730,f244,f251]) ).
tff(f1587,plain,
( spl14_59
| ~ spl14_36 ),
inference(avatar_split_clause,[],[f1467,f722,f1584]) ).
tff(f1467,plain,
( mem(a1,t2tb(sK6),cons(a1,witness(a1),t2tb3(sK5)))
| ~ spl14_36 ),
inference(unit_resulting_resolution,[],[f270,f724,f244,f251]) ).
tff(f1582,plain,
( spl14_58
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f1481,f716,f1579]) ).
tff(f1481,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK10)))
| ~ spl14_35 ),
inference(unit_resulting_resolution,[],[f270,f718,f244,f251]) ).
tff(f1576,plain,
( spl14_57
| ~ spl14_47 ),
inference(avatar_split_clause,[],[f1474,f1038,f1573]) ).
tff(f1474,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK8)))
| ~ spl14_47 ),
inference(unit_resulting_resolution,[],[f270,f1040,f244,f251]) ).
tff(f1569,plain,
( spl14_56
| ~ spl14_38 ),
inference(avatar_split_clause,[],[f1460,f734,f1566]) ).
tff(f1460,plain,
( mem(a1,t2tb(sK13),cons(a1,witness(a1),t2tb3(sK3)))
| ~ spl14_38 ),
inference(unit_resulting_resolution,[],[f270,f736,f244,f251]) ).
tff(f1409,plain,
( ~ spl14_54
| spl14_55 ),
inference(avatar_split_clause,[],[f1401,f1407,f1403]) ).
tff(f1407,plain,
( spl14_55
<=> ! [X0: uni,X1: uni] : ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,t2tb3(sK12)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_55])]) ).
tff(f1401,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != 2 ) ),
inference(evaluation,[],[f1400]) ).
tff(f1400,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,0) ) ),
inference(forward_demodulation,[],[f1398,f274]) ).
tff(f1398,plain,
! [X0: uni,X1: uni] :
( ( sK3 != tb2t3(cons(a1,X0,cons(a1,X1,t2tb3(sK12)))) )
| ( length(a1,t2tb3(sK2)) != $sum(2,length(a1,nil(a1))) ) ),
inference(superposition,[],[f1385,f195]) ).
tff(f1395,plain,
( ~ spl14_52
| spl14_53 ),
inference(avatar_split_clause,[],[f1387,f1393,f1389]) ).
tff(f1389,plain,
( spl14_52
<=> ( 1 = length(a1,t2tb3(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_52])]) ).
tff(f1393,plain,
( spl14_53
<=> ! [X0: uni] : ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_53])]) ).
tff(f1387,plain,
! [X0: uni] :
( ( 1 != length(a1,t2tb3(sK2)) )
| ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK12))) ) ),
inference(evaluation,[],[f1386]) ).
tff(f1386,plain,
! [X0: uni] :
( ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK12))) )
| ( length(a1,t2tb3(sK2)) != $sum(1,0) ) ),
inference(forward_demodulation,[],[f1382,f274]) ).
tff(f1382,plain,
! [X0: uni] :
( ( sK3 != tb2t3(cons(a1,X0,t2tb3(sK12))) )
| ( length(a1,t2tb3(sK2)) != $sum(1,length(a1,nil(a1))) ) ),
inference(superposition,[],[f1202,f195]) ).
tff(f1150,plain,
( spl14_51
| spl14_19
| ~ spl14_26 ),
inference(avatar_split_clause,[],[f1145,f491,f407,f1147]) ).
tff(f491,plain,
( spl14_26
<=> ( t2tb3(sK5) = cons_proj_2(a1,t2tb3(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_26])]) ).
tff(f1145,plain,
( ( t2tb3(sK2) = cons(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK5)) )
| spl14_19
| ~ spl14_26 ),
inference(subsumption_resolution,[],[f1112,f409]) ).
tff(f1112,plain,
( ( t2tb3(sK2) = cons(a1,cons_proj_1(a1,t2tb3(sK2)),t2tb3(sK5)) )
| ( t2tb3(sK2) = nil(a1) )
| ~ spl14_26 ),
inference(superposition,[],[f261,f493]) ).
tff(f493,plain,
( ( t2tb3(sK5) = cons_proj_2(a1,t2tb3(sK2)) )
| ~ spl14_26 ),
inference(avatar_component_clause,[],[f491]) ).
tff(f1143,plain,
( spl14_50
| spl14_20
| ~ spl14_27 ),
inference(avatar_split_clause,[],[f1138,f496,f419,f1140]) ).
tff(f1138,plain,
( ( t2tb3(sK10) = cons(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK12)) )
| spl14_20
| ~ spl14_27 ),
inference(subsumption_resolution,[],[f1115,f421]) ).
tff(f1115,plain,
( ( t2tb3(sK10) = cons(a1,cons_proj_1(a1,t2tb3(sK10)),t2tb3(sK12)) )
| ( t2tb3(sK10) = nil(a1) )
| ~ spl14_27 ),
inference(superposition,[],[f261,f498]) ).
tff(f1134,plain,
( spl14_49
| spl14_18
| ~ spl14_24 ),
inference(avatar_split_clause,[],[f1129,f481,f401,f1131]) ).
tff(f481,plain,
( spl14_24
<=> ( t2tb3(sK8) = cons_proj_2(a1,t2tb3(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_24])]) ).
tff(f1129,plain,
( ( t2tb3(sK3) = cons(a1,cons_proj_1(a1,t2tb3(sK3)),t2tb3(sK8)) )
| spl14_18
| ~ spl14_24 ),
inference(forward_demodulation,[],[f1107,f483]) ).
tff(f483,plain,
( ( t2tb3(sK8) = cons_proj_2(a1,t2tb3(sK3)) )
| ~ spl14_24 ),
inference(avatar_component_clause,[],[f481]) ).
tff(f1107,plain,
( ( t2tb3(sK3) = cons(a1,cons_proj_1(a1,t2tb3(sK3)),cons_proj_2(a1,t2tb3(sK3))) )
| spl14_18 ),
inference(unit_resulting_resolution,[],[f403,f261]) ).
tff(f1128,plain,
( spl14_48
| spl14_17
| ~ spl14_25 ),
inference(avatar_split_clause,[],[f1123,f486,f391,f1125]) ).
tff(f486,plain,
( spl14_25
<=> ( t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_25])]) ).
tff(f1123,plain,
( ( t2tb3(sK5) = cons(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK7)) )
| spl14_17
| ~ spl14_25 ),
inference(subsumption_resolution,[],[f1114,f393]) ).
tff(f1114,plain,
( ( t2tb3(sK5) = cons(a1,cons_proj_1(a1,t2tb3(sK5)),t2tb3(sK7)) )
| ( t2tb3(sK5) = nil(a1) )
| ~ spl14_25 ),
inference(superposition,[],[f261,f488]) ).
tff(f488,plain,
( ( t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5)) )
| ~ spl14_25 ),
inference(avatar_component_clause,[],[f486]) ).
tff(f1041,plain,
( spl14_47
| ~ spl14_14
| ~ spl14_35 ),
inference(avatar_split_clause,[],[f1035,f716,f365,f1038]) ).
tff(f1035,plain,
( mem(a1,t2tb(sK13),t2tb3(sK8))
| ~ spl14_14
| ~ spl14_35 ),
inference(superposition,[],[f797,f367]) ).
tff(f797,plain,
( ! [X0: uni] : mem(a1,t2tb(sK13),infix_plpl(a1,X0,t2tb3(sK10)))
| ~ spl14_35 ),
inference(unit_resulting_resolution,[],[f718,f240]) ).
tff(f928,plain,
( spl14_46
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f900,f355,f925]) ).
tff(f900,plain,
( ( $sum(1,length(a1,t2tb3(sK7))) = length(a1,t2tb3(sK5)) )
| ~ spl14_12 ),
inference(superposition,[],[f231,f357]) ).
tff(f923,plain,
( spl14_45
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f903,f370,f920]) ).
tff(f903,plain,
( ( length(a1,t2tb3(sK2)) = $sum(1,length(a1,t2tb3(sK5))) )
| ~ spl14_15 ),
inference(superposition,[],[f231,f372]) ).
tff(f918,plain,
( spl14_44
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f902,f375,f915]) ).
tff(f902,plain,
( ( length(a1,t2tb3(sK10)) = $sum(1,length(a1,t2tb3(sK12))) )
| ~ spl14_16 ),
inference(superposition,[],[f231,f377]) ).
tff(f913,plain,
( spl14_43
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f901,f360,f910]) ).
tff(f901,plain,
( ( length(a1,t2tb3(sK3)) = $sum(1,length(a1,t2tb3(sK8))) )
| ~ spl14_13 ),
inference(superposition,[],[f231,f362]) ).
tff(f837,plain,
( spl14_42
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f815,f370,f834]) ).
tff(f815,plain,
( ( some(a1,t2tb(sK4)) = nth(a1,0,t2tb3(sK2)) )
| ~ spl14_15 ),
inference(superposition,[],[f272,f372]) ).
tff(f832,plain,
( spl14_41
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f814,f375,f829]) ).
tff(f814,plain,
( ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK10)) )
| ~ spl14_16 ),
inference(superposition,[],[f272,f377]) ).
tff(f827,plain,
( spl14_40
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f813,f360,f824]) ).
tff(f813,plain,
( ( some(a1,t2tb(sK13)) = nth(a1,0,t2tb3(sK3)) )
| ~ spl14_13 ),
inference(superposition,[],[f272,f362]) ).
tff(f822,plain,
( spl14_39
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f812,f355,f819]) ).
tff(f812,plain,
( ( some(a1,t2tb(sK6)) = nth(a1,0,t2tb3(sK5)) )
| ~ spl14_12 ),
inference(superposition,[],[f272,f357]) ).
tff(f737,plain,
( spl14_38
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f732,f360,f734]) ).
tff(f732,plain,
( mem(a1,t2tb(sK13),t2tb3(sK3))
| ~ spl14_13 ),
inference(subsumption_resolution,[],[f711,f244]) ).
tff(f711,plain,
( mem(a1,t2tb(sK13),t2tb3(sK3))
| ~ sort(a1,t2tb(sK13))
| ~ spl14_13 ),
inference(superposition,[],[f282,f362]) ).
tff(f731,plain,
( spl14_37
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f726,f370,f728]) ).
tff(f726,plain,
( mem(a1,t2tb(sK4),t2tb3(sK2))
| ~ spl14_15 ),
inference(subsumption_resolution,[],[f713,f244]) ).
tff(f713,plain,
( mem(a1,t2tb(sK4),t2tb3(sK2))
| ~ sort(a1,t2tb(sK4))
| ~ spl14_15 ),
inference(superposition,[],[f282,f372]) ).
tff(f725,plain,
( spl14_36
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f720,f355,f722]) ).
tff(f720,plain,
( mem(a1,t2tb(sK6),t2tb3(sK5))
| ~ spl14_12 ),
inference(subsumption_resolution,[],[f710,f244]) ).
tff(f710,plain,
( mem(a1,t2tb(sK6),t2tb3(sK5))
| ~ sort(a1,t2tb(sK6))
| ~ spl14_12 ),
inference(superposition,[],[f282,f357]) ).
tff(f719,plain,
( spl14_35
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f714,f375,f716]) ).
tff(f714,plain,
( mem(a1,t2tb(sK13),t2tb3(sK10))
| ~ spl14_16 ),
inference(subsumption_resolution,[],[f712,f244]) ).
tff(f712,plain,
( mem(a1,t2tb(sK13),t2tb3(sK10))
| ~ sort(a1,t2tb(sK13))
| ~ spl14_16 ),
inference(superposition,[],[f282,f377]) ).
tff(f567,plain,
spl14_34,
inference(avatar_split_clause,[],[f542,f564]) ).
tff(f564,plain,
( spl14_34
<=> ( witness(option(a1)) = t2tb4(tb2t4(witness(option(a1)))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_34])]) ).
tff(f542,plain,
witness(option(a1)) = t2tb4(tb2t4(witness(option(a1)))),
inference(unit_resulting_resolution,[],[f270,f268]) ).
tff(f562,plain,
spl14_33,
inference(avatar_split_clause,[],[f548,f559]) ).
tff(f559,plain,
( spl14_33
<=> ( none(a1) = t2tb4(tb2t4(none(a1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_33])]) ).
tff(f548,plain,
none(a1) = t2tb4(tb2t4(none(a1))),
inference(resolution,[],[f268,f269]) ).
tff(f269,plain,
! [X0: ty] : sort(option(X0),none(X0)),
inference(cnf_transformation,[],[f31]) ).
tff(f31,axiom,
! [X0: ty] : sort(option(X0),none(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f537,plain,
( ~ spl14_32
| spl14_20 ),
inference(avatar_split_clause,[],[f510,f419,f534]) ).
tff(f510,plain,
( ( 0 != length(a1,t2tb3(sK10)) )
| spl14_20 ),
inference(unit_resulting_resolution,[],[f421,f265]) ).
tff(f532,plain,
( spl14_30
| ~ spl14_31
| ~ spl14_7 ),
inference(avatar_split_clause,[],[f512,f319,f529,f525]) ).
tff(f512,plain,
( ( 0 != length(a1,t2tb3(sK7)) )
| ( t2tb3(sK11) = nil(a1) )
| ~ spl14_7 ),
inference(superposition,[],[f265,f321]) ).
tff(f523,plain,
( ~ spl14_29
| spl14_18 ),
inference(avatar_split_clause,[],[f508,f401,f520]) ).
tff(f520,plain,
( spl14_29
<=> ( 0 = length(a1,t2tb3(sK3)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_29])]) ).
tff(f508,plain,
( ( 0 != length(a1,t2tb3(sK3)) )
| spl14_18 ),
inference(unit_resulting_resolution,[],[f403,f265]) ).
tff(f518,plain,
( ~ spl14_28
| spl14_17 ),
inference(avatar_split_clause,[],[f509,f391,f515]) ).
tff(f515,plain,
( spl14_28
<=> ( 0 = length(a1,t2tb3(sK5)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_28])]) ).
tff(f509,plain,
( ( 0 != length(a1,t2tb3(sK5)) )
| spl14_17 ),
inference(unit_resulting_resolution,[],[f393,f265]) ).
tff(f513,plain,
( ~ spl14_22
| spl14_19 ),
inference(avatar_split_clause,[],[f507,f407,f437]) ).
tff(f437,plain,
( spl14_22
<=> ( 0 = length(a1,t2tb3(sK2)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_22])]) ).
tff(f507,plain,
( ( 0 != length(a1,t2tb3(sK2)) )
| spl14_19 ),
inference(unit_resulting_resolution,[],[f409,f265]) ).
tff(f499,plain,
( spl14_27
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f476,f375,f496]) ).
tff(f476,plain,
( ( t2tb3(sK12) = cons_proj_2(a1,t2tb3(sK10)) )
| ~ spl14_16 ),
inference(superposition,[],[f224,f377]) ).
tff(f224,plain,
! [X2: uni,X0: uni,X1: ty] : ( cons_proj_2(X1,cons(X1,X2,X0)) = X0 ),
inference(cnf_transformation,[],[f164]) ).
tff(f164,plain,
! [X0: uni,X1: ty,X2: uni] : ( cons_proj_2(X1,cons(X1,X2,X0)) = X0 ),
inference(rectify,[],[f110]) ).
tff(f110,plain,
! [X0: uni,X2: ty,X1: uni] : ( cons_proj_2(X2,cons(X2,X1,X0)) = X0 ),
inference(rectify,[],[f18]) ).
tff(f18,axiom,
! [X9: uni,X6: uni,X0: ty] : ( cons_proj_2(X0,cons(X0,X6,X9)) = X9 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f494,plain,
( spl14_26
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f477,f370,f491]) ).
tff(f477,plain,
( ( t2tb3(sK5) = cons_proj_2(a1,t2tb3(sK2)) )
| ~ spl14_15 ),
inference(superposition,[],[f224,f372]) ).
tff(f489,plain,
( spl14_25
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f474,f355,f486]) ).
tff(f474,plain,
( ( t2tb3(sK7) = cons_proj_2(a1,t2tb3(sK5)) )
| ~ spl14_12 ),
inference(superposition,[],[f224,f357]) ).
tff(f484,plain,
( spl14_24
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f475,f360,f481]) ).
tff(f475,plain,
( ( t2tb3(sK8) = cons_proj_2(a1,t2tb3(sK3)) )
| ~ spl14_13 ),
inference(superposition,[],[f224,f362]) ).
tff(f464,plain,
spl14_23,
inference(avatar_split_clause,[],[f456,f461]) ).
tff(f461,plain,
( spl14_23
<=> ( witness(a1) = t2tb(tb2t(witness(a1))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_23])]) ).
tff(f456,plain,
witness(a1) = t2tb(tb2t(witness(a1))),
inference(resolution,[],[f198,f270]) ).
tff(f198,plain,
! [X0: uni] :
( ~ sort(a1,X0)
| ( t2tb(tb2t(X0)) = X0 ) ),
inference(cnf_transformation,[],[f138]) ).
tff(f138,plain,
! [X0: uni] :
( ~ sort(a1,X0)
| ( t2tb(tb2t(X0)) = X0 ) ),
inference(ennf_transformation,[],[f76]) ).
tff(f76,plain,
! [X0: uni] :
( sort(a1,X0)
=> ( t2tb(tb2t(X0)) = X0 ) ),
inference(rectify,[],[f50]) ).
tff(f50,axiom,
! [X18: uni] :
( sort(a1,X18)
=> ( t2tb(tb2t(X18)) = X18 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f440,plain,
( ~ spl14_21
| ~ spl14_22 ),
inference(avatar_split_clause,[],[f431,f437,f433]) ).
tff(f433,plain,
( spl14_21
<=> ( sK3 = sK12 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_21])]) ).
tff(f431,plain,
( ( 0 != length(a1,t2tb3(sK2)) )
| ( sK3 != sK12 ) ),
inference(forward_demodulation,[],[f430,f200]) ).
tff(f430,plain,
( ( 0 != length(a1,t2tb3(sK2)) )
| ( sK3 != tb2t3(t2tb3(sK12)) ) ),
inference(forward_demodulation,[],[f429,f274]) ).
tff(f429,plain,
( ( length(a1,t2tb3(sK2)) != length(a1,nil(a1)) )
| ( sK3 != tb2t3(t2tb3(sK12)) ) ),
inference(superposition,[],[f353,f195]) ).
tff(f422,plain,
( ~ spl14_20
| ~ spl14_16 ),
inference(avatar_split_clause,[],[f417,f375,f419]) ).
tff(f417,plain,
( ( t2tb3(sK10) != nil(a1) )
| ~ spl14_16 ),
inference(superposition,[],[f206,f377]) ).
tff(f410,plain,
( ~ spl14_19
| ~ spl14_15 ),
inference(avatar_split_clause,[],[f405,f370,f407]) ).
tff(f405,plain,
( ( t2tb3(sK2) != nil(a1) )
| ~ spl14_15 ),
inference(superposition,[],[f206,f372]) ).
tff(f404,plain,
( ~ spl14_18
| ~ spl14_13 ),
inference(avatar_split_clause,[],[f399,f360,f401]) ).
tff(f399,plain,
( ( t2tb3(sK3) != nil(a1) )
| ~ spl14_13 ),
inference(superposition,[],[f206,f362]) ).
tff(f394,plain,
( ~ spl14_17
| ~ spl14_12 ),
inference(avatar_split_clause,[],[f389,f355,f391]) ).
tff(f389,plain,
( ( t2tb3(sK5) != nil(a1) )
| ~ spl14_12 ),
inference(superposition,[],[f206,f357]) ).
tff(f378,plain,
( spl14_16
| ~ spl14_6 ),
inference(avatar_split_clause,[],[f349,f314,f375]) ).
tff(f314,plain,
( spl14_6
<=> ( sK10 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK12))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_6])]) ).
tff(f349,plain,
( ( t2tb3(sK10) = cons(a1,t2tb(sK13),t2tb3(sK12)) )
| ~ spl14_6 ),
inference(superposition,[],[f202,f316]) ).
tff(f316,plain,
( ( sK10 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK12))) )
| ~ spl14_6 ),
inference(avatar_component_clause,[],[f314]) ).
tff(f373,plain,
( spl14_15
| ~ spl14_4 ),
inference(avatar_split_clause,[],[f348,f304,f370]) ).
tff(f304,plain,
( spl14_4
<=> ( sK2 = tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_4])]) ).
tff(f348,plain,
( ( t2tb3(sK2) = cons(a1,t2tb(sK4),t2tb3(sK5)) )
| ~ spl14_4 ),
inference(superposition,[],[f202,f306]) ).
tff(f306,plain,
( ( sK2 = tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))) )
| ~ spl14_4 ),
inference(avatar_component_clause,[],[f304]) ).
tff(f368,plain,
( spl14_14
| ~ spl14_9 ),
inference(avatar_split_clause,[],[f352,f329,f365]) ).
tff(f329,plain,
( spl14_9
<=> ( sK8 = tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_9])]) ).
tff(f352,plain,
( ( t2tb3(sK8) = infix_plpl(a1,t2tb3(sK11),t2tb3(sK10)) )
| ~ spl14_9 ),
inference(superposition,[],[f202,f331]) ).
tff(f331,plain,
( ( sK8 = tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))) )
| ~ spl14_9 ),
inference(avatar_component_clause,[],[f329]) ).
tff(f363,plain,
( spl14_13
| ~ spl14_8 ),
inference(avatar_split_clause,[],[f350,f324,f360]) ).
tff(f324,plain,
( spl14_8
<=> ( sK3 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK8))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_8])]) ).
tff(f350,plain,
( ( t2tb3(sK3) = cons(a1,t2tb(sK13),t2tb3(sK8)) )
| ~ spl14_8 ),
inference(superposition,[],[f202,f326]) ).
tff(f326,plain,
( ( sK3 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK8))) )
| ~ spl14_8 ),
inference(avatar_component_clause,[],[f324]) ).
tff(f358,plain,
( spl14_12
| ~ spl14_11 ),
inference(avatar_split_clause,[],[f351,f339,f355]) ).
tff(f339,plain,
( spl14_11
<=> ( sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_11])]) ).
tff(f351,plain,
( ( t2tb3(sK5) = cons(a1,t2tb(sK6),t2tb3(sK7)) )
| ~ spl14_11 ),
inference(superposition,[],[f202,f341]) ).
tff(f341,plain,
( ( sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))) )
| ~ spl14_11 ),
inference(avatar_component_clause,[],[f339]) ).
tff(f342,plain,
spl14_11,
inference(avatar_split_clause,[],[f211,f339]) ).
tff(f211,plain,
sK5 = tb2t3(cons(a1,t2tb(sK6),t2tb3(sK7))),
inference(cnf_transformation,[],[f162]) ).
tff(f337,plain,
spl14_10,
inference(avatar_split_clause,[],[f277,f334]) ).
tff(f334,plain,
( spl14_10
<=> $less(0,$sum($sum(length(a1,t2tb3(sK3)),1),$uminus(length(a1,t2tb3(sK2))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_10])]) ).
tff(f277,plain,
$less(0,$sum($sum(length(a1,t2tb3(sK3)),1),$uminus(length(a1,t2tb3(sK2))))),
inference(evaluation,[],[f222]) ).
tff(f222,plain,
~ $less(length(a1,t2tb3(sK3)),length(a1,t2tb3(sK2))),
inference(cnf_transformation,[],[f162]) ).
tff(f332,plain,
spl14_9,
inference(avatar_split_clause,[],[f218,f329]) ).
tff(f218,plain,
sK8 = tb2t3(infix_plpl(a1,t2tb3(sK11),t2tb3(sK10))),
inference(cnf_transformation,[],[f162]) ).
tff(f327,plain,
spl14_8,
inference(avatar_split_clause,[],[f271,f324]) ).
tff(f271,plain,
sK3 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK8))),
inference(definition_unfolding,[],[f212,f216]) ).
tff(f216,plain,
sK9 = sK13,
inference(cnf_transformation,[],[f162]) ).
tff(f212,plain,
sK3 = tb2t3(cons(a1,t2tb(sK9),t2tb3(sK8))),
inference(cnf_transformation,[],[f162]) ).
tff(f322,plain,
spl14_7,
inference(avatar_split_clause,[],[f219,f319]) ).
tff(f219,plain,
length(a1,t2tb3(sK7)) = length(a1,t2tb3(sK11)),
inference(cnf_transformation,[],[f162]) ).
tff(f317,plain,
spl14_6,
inference(avatar_split_clause,[],[f213,f314]) ).
tff(f213,plain,
sK10 = tb2t3(cons(a1,t2tb(sK13),t2tb3(sK12))),
inference(cnf_transformation,[],[f162]) ).
tff(f312,plain,
spl14_5,
inference(avatar_split_clause,[],[f281,f309]) ).
tff(f309,plain,
( spl14_5
<=> $less(0,$sum($sum(length(a1,t2tb3(sK8)),1),$uminus(length(a1,t2tb3(sK7))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_5])]) ).
tff(f281,plain,
$less(0,$sum($sum(length(a1,t2tb3(sK8)),1),$uminus(length(a1,t2tb3(sK7))))),
inference(evaluation,[],[f220]) ).
tff(f220,plain,
~ $less(length(a1,t2tb3(sK8)),length(a1,t2tb3(sK7))),
inference(cnf_transformation,[],[f162]) ).
tff(f307,plain,
spl14_4,
inference(avatar_split_clause,[],[f221,f304]) ).
tff(f221,plain,
sK2 = tb2t3(cons(a1,t2tb(sK4),t2tb3(sK5))),
inference(cnf_transformation,[],[f162]) ).
tff(f302,plain,
~ spl14_3,
inference(avatar_split_clause,[],[f258,f299]) ).
tff(f299,plain,
( spl14_3
<=> ( true = false ) ),
introduced(avatar_definition,[new_symbols(naming,[spl14_3])]) ).
tff(f258,plain,
true != false,
inference(cnf_transformation,[],[f5]) ).
tff(f5,axiom,
true != false,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',unknown) ).
tff(f297,plain,
spl14_2,
inference(avatar_split_clause,[],[f217,f294]) ).
tff(f217,plain,
pal(a1,t2tb3(sK8),length(a1,t2tb3(sK7))),
inference(cnf_transformation,[],[f162]) ).
tff(f292,plain,
spl14_1,
inference(avatar_split_clause,[],[f284,f289]) ).
tff(f284,plain,
tb2t4(some(a1,t2tb(sK13))) = tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),-1),t2tb3(sK3))),
inference(evaluation,[],[f215]) ).
tff(f215,plain,
tb2t4(nth(a1,$sum(length(a1,t2tb3(sK2)),$uminus(1)),t2tb3(sK3))) = tb2t4(some(a1,t2tb(sK13))),
inference(cnf_transformation,[],[f162]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.14 % Problem : SWW649_2 : TPTP v8.2.0. Released v6.1.0.
% 0.07/0.14 % Command : run_vampire %s %d THM
% 0.14/0.37 % Computer : n029.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 300
% 0.14/0.37 % DateTime : Wed Jun 19 08:37:24 EDT 2024
% 0.14/0.38 % CPUTime :
% 0.14/0.39 This is a TF0_THM_EQU_ARI problem
% 0.14/0.39 Running first-order theorem proving
% 0.14/0.39 Running /export/starexec/sandbox2/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27154)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=59848:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/59848Mi)
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27155)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=34:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/34Mi)
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27160)lrs+10_5:1_br=off:fde=none:nwc=3.0:sd=1:sgt=10:sos=on:ss=axioms:urr=on:i=32:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/32Mi)
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27156)dis+1011_1:64_drc=off:flr=on:nwc=2.0:sac=on:urr=ec_only:i=8:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/8Mi)
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27157)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/2Mi)
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27159)lrs+10_1:32_s2a=on:s2agt=10:sgt=8:ss=axioms:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/15Mi)
% 0.25/0.46 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.46 % (27158)ott+1011_1:2_br=off:bs=unit_only:bsr=unit_only:nwc=5.0:s2a=on:s2agt=32:urr=on:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (3000ds/37Mi)
% 0.25/0.46 % (27157)Instruction limit reached!
% 0.25/0.46 % (27157)------------------------------
% 0.25/0.46 % (27157)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.46 % (27157)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.46 % (27157)Termination reason: Time limit
% 0.25/0.46 % (27157)Termination phase: Property scanning
% 0.25/0.46
% 0.25/0.46 % (27157)Memory used [KB]: 828
% 0.25/0.46 % (27157)Time elapsed: 0.003 s
% 0.25/0.46 % (27157)Instructions burned: 2 (million)
% 0.25/0.47 % (27156)Instruction limit reached!
% 0.25/0.47 % (27156)------------------------------
% 0.25/0.47 % (27156)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.47 % (27156)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.47 % (27156)Termination reason: Time limit
% 0.25/0.47 % (27156)Termination phase: Saturation
% 0.25/0.47
% 0.25/0.47 % (27156)Memory used [KB]: 968
% 0.25/0.47 % (27156)Time elapsed: 0.007 s
% 0.25/0.47 % (27156)Instructions burned: 8 (million)
% 0.25/0.47 % (27159)Instruction limit reached!
% 0.25/0.47 % (27159)------------------------------
% 0.25/0.47 % (27159)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.47 % (27159)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.47 % (27159)Termination reason: Time limit
% 0.25/0.47 % (27159)Termination phase: Saturation
% 0.25/0.47
% 0.25/0.47 % (27159)Memory used [KB]: 1105
% 0.25/0.47 % (27159)Time elapsed: 0.011 s
% 0.25/0.47 % (27159)Instructions burned: 15 (million)
% 0.25/0.48 % (27155)Instruction limit reached!
% 0.25/0.48 % (27155)------------------------------
% 0.25/0.48 % (27155)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.48 % (27155)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.48 % (27155)Termination reason: Time limit
% 0.25/0.48 % (27155)Termination phase: Saturation
% 0.25/0.48
% 0.25/0.48 % (27155)Memory used [KB]: 1348
% 0.25/0.48 % (27155)Time elapsed: 0.023 s
% 0.25/0.48 % (27155)Instructions burned: 34 (million)
% 0.25/0.48 % (27160)Instruction limit reached!
% 0.25/0.48 % (27160)------------------------------
% 0.25/0.48 % (27160)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.48 % (27160)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.48 % (27160)Termination reason: Time limit
% 0.25/0.48 % (27160)Termination phase: Saturation
% 0.25/0.48
% 0.25/0.48 % (27160)Memory used [KB]: 1355
% 0.25/0.48 % (27160)Time elapsed: 0.023 s
% 0.25/0.48 % (27160)Instructions burned: 33 (million)
% 0.25/0.48 % (27158)Instruction limit reached!
% 0.25/0.48 % (27158)------------------------------
% 0.25/0.48 % (27158)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.48 % (27158)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.48 % (27158)Termination reason: Time limit
% 0.25/0.48 % (27158)Termination phase: Saturation
% 0.25/0.48
% 0.25/0.48 % (27158)Memory used [KB]: 1465
% 0.25/0.48 % (27158)Time elapsed: 0.025 s
% 0.25/0.48 % (27158)Instructions burned: 38 (million)
% 0.25/0.52 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.52 % (27161)lrs+1010_1:1_bd=off:fd=off:fde=none:ins=3:sac=on:sos=on:spb=goal:to=lpo:i=36:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/36Mi)
% 0.25/0.53 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.53 % (27162)lrs+1010_1:1_ep=RST:s2a=on:s2at=5.0:sos=all:i=26:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/26Mi)
% 0.25/0.53 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.53 % (27163)lrs+10_1:8_ep=R:erd=off:fs=off:fsr=off:gve=force:nwc=2.0:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.53 % (27163)Instruction limit reached!
% 0.25/0.53 % (27163)------------------------------
% 0.25/0.53 % (27163)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.53 % (27163)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.53 % (27163)Termination reason: Time limit
% 0.25/0.53 % (27163)Termination phase: Property scanning
% 0.25/0.53
% 0.25/0.53 % (27163)Memory used [KB]: 827
% 0.25/0.53 % (27163)Time elapsed: 0.003 s
% 0.25/0.53 % (27163)Instructions burned: 2 (million)
% 0.25/0.54 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (27164)lrs+10_1:1_canc=force:tha=some:to=lpo:i=35:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/35Mi)
% 0.25/0.54 % (27162)Instruction limit reached!
% 0.25/0.54 % (27162)------------------------------
% 0.25/0.54 % (27162)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.54 % (27162)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.54 % (27162)Termination reason: Time limit
% 0.25/0.54 % (27162)Termination phase: Saturation
% 0.25/0.54
% 0.25/0.54 % (27162)Memory used [KB]: 1348
% 0.25/0.54 % (27162)Time elapsed: 0.018 s
% 0.25/0.54 % (27162)Instructions burned: 26 (million)
% 0.25/0.54 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (27165)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=4:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/4Mi)
% 0.25/0.54 % (27161)Instruction limit reached!
% 0.25/0.54 % (27161)------------------------------
% 0.25/0.54 % (27161)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.54 % (27161)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.54 % (27161)Termination reason: Time limit
% 0.25/0.54 % (27161)Termination phase: Saturation
% 0.25/0.54
% 0.25/0.54 % (27161)Memory used [KB]: 1358
% 0.25/0.54 % (27161)Time elapsed: 0.025 s
% 0.25/0.54 % (27161)Instructions burned: 36 (million)
% 0.25/0.54 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.54 % (27166)lrs+10_1:1_ep=R:gve=force:plsq=on:plsqr=32,1:uwa=one_side_interpreted:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.25/0.54 % (27165)Instruction limit reached!
% 0.25/0.54 % (27165)------------------------------
% 0.25/0.54 % (27165)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.54 % (27165)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.54 % (27165)Termination reason: Time limit
% 0.25/0.54 % (27165)Termination phase: Preprocessing 3
% 0.25/0.54
% 0.25/0.54 % (27165)Memory used [KB]: 865
% 0.25/0.54 % (27165)Time elapsed: 0.004 s
% 0.25/0.54 % (27165)Instructions burned: 4 (million)
% 0.25/0.55 % (27166)Instruction limit reached!
% 0.25/0.55 % (27166)------------------------------
% 0.25/0.55 % (27166)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.55 % (27166)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.55 % (27166)Termination reason: Time limit
% 0.25/0.55 % (27166)Termination phase: Preprocessing 1
% 0.25/0.55
% 0.25/0.55 % (27166)Memory used [KB]: 834
% 0.25/0.55 % (27166)Time elapsed: 0.003 s
% 0.25/0.55 % (27166)Instructions burned: 3 (million)
% 0.25/0.56 % (27164)Instruction limit reached!
% 0.25/0.56 % (27164)------------------------------
% 0.25/0.56 % (27164)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.25/0.56 % (27164)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.25/0.56 % (27164)Termination reason: Time limit
% 0.25/0.56 % (27164)Termination phase: Saturation
% 0.25/0.56
% 0.25/0.56 % (27164)Memory used [KB]: 1411
% 0.25/0.56 % (27164)Time elapsed: 0.024 s
% 0.25/0.56 % (27164)Instructions burned: 35 (million)
% 0.25/0.59 % (27153)Running in auto input_syntax mode. Trying TPTP
% 0.25/0.59 % (27167)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.55/0.60 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.60 % (27168)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/50Mi)
% 1.55/0.60 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.60 % (27170)lrs+10_1:1_ev=force:gve=cautious:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.55/0.60 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.60 % (27169)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.55/0.60 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.55/0.60 % (27171)dis+21_1:1_aac=none:abs=on:er=known:fde=none:fsr=off:nwc=5.0:s2a=on:s2at=4.0:sp=const_frequency:to=lpo:urr=ec_only:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/49Mi)
% 1.55/0.60 % (27170)Instruction limit reached!
% 1.55/0.60 % (27170)------------------------------
% 1.55/0.60 % (27170)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.55/0.60 % (27170)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.55/0.60 % (27170)Termination reason: Time limit
% 1.55/0.60 % (27170)Termination phase: Preprocessing 1
% 1.55/0.60
% 1.55/0.60 % (27170)Memory used [KB]: 831
% 1.55/0.60 % (27170)Time elapsed: 0.003 s
% 1.55/0.60 % (27170)Instructions burned: 2 (million)
% 1.55/0.60 % (27167)Instruction limit reached!
% 1.55/0.60 % (27167)------------------------------
% 1.55/0.60 % (27167)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.55/0.60 % (27167)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.55/0.60 % (27167)Termination reason: Time limit
% 1.55/0.60 % (27167)Termination phase: Saturation
% 1.55/0.60
% 1.55/0.60 % (27167)Memory used [KB]: 1133
% 1.55/0.60 % (27167)Time elapsed: 0.014 s
% 1.55/0.60 % (27167)Instructions burned: 22 (million)
% 1.55/0.60 % (27169)Instruction limit reached!
% 1.55/0.60 % (27169)------------------------------
% 1.55/0.60 % (27169)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.55/0.60 % (27169)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.55/0.60 % (27169)Termination reason: Time limit
% 1.55/0.60 % (27169)Termination phase: Property scanning
% 1.55/0.60
% 1.55/0.60 % (27169)Memory used [KB]: 828
% 1.55/0.60 % (27169)Time elapsed: 0.003 s
% 1.55/0.60 % (27169)Instructions burned: 3 (million)
% 1.69/0.62 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.69/0.62 % (27172)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.69/0.63 % (27168)Instruction limit reached!
% 1.69/0.63 % (27168)------------------------------
% 1.69/0.63 % (27168)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.69/0.63 % (27168)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.69/0.63 % (27168)Termination reason: Time limit
% 1.69/0.63 % (27168)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (27168)Memory used [KB]: 1451
% 1.69/0.63 % (27168)Time elapsed: 0.028 s
% 1.69/0.63 % (27168)Instructions burned: 50 (million)
% 1.69/0.63 % (27172)Instruction limit reached!
% 1.69/0.63 % (27172)------------------------------
% 1.69/0.63 % (27172)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.69/0.63 % (27172)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.69/0.63 % (27172)Termination reason: Time limit
% 1.69/0.63 % (27172)Termination phase: Saturation
% 1.69/0.63
% 1.69/0.63 % (27172)Memory used [KB]: 1115
% 1.69/0.63 % (27172)Time elapsed: 0.010 s
% 1.69/0.63 % (27172)Instructions burned: 15 (million)
% 1.77/0.63 % (27171)Instruction limit reached!
% 1.77/0.63 % (27171)------------------------------
% 1.77/0.63 % (27171)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.63 % (27171)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.63 % (27171)Termination reason: Time limit
% 1.77/0.63 % (27171)Termination phase: Saturation
% 1.77/0.63
% 1.77/0.63 % (27171)Memory used [KB]: 1551
% 1.77/0.63 % (27171)Time elapsed: 0.030 s
% 1.77/0.63 % (27171)Instructions burned: 49 (million)
% 1.77/0.66 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.66 % (27175)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/21Mi)
% 1.77/0.66 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.66 % (27174)dis+1002_1:5_av=off:nwc=2.0:sos=all:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/15Mi)
% 1.77/0.66 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.66 % (27173)lrs+10_1:1_sd=10:sos=all:ss=axioms:st=5.0:tha=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/2Mi)
% 1.77/0.66 % (27173)Instruction limit reached!
% 1.77/0.66 % (27173)------------------------------
% 1.77/0.66 % (27173)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.66 % (27173)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.66 % (27173)Termination reason: Time limit
% 1.77/0.66 % (27173)Termination phase: shuffling
% 1.77/0.66
% 1.77/0.66 % (27173)Memory used [KB]: 824
% 1.77/0.66 % (27173)Time elapsed: 0.002 s
% 1.77/0.66 % (27173)Instructions burned: 2 (million)
% 1.77/0.67 % (27174)Instruction limit reached!
% 1.77/0.67 % (27174)------------------------------
% 1.77/0.67 % (27174)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.67 % (27174)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.67 % (27174)Termination reason: Time limit
% 1.77/0.67 % (27174)Termination phase: Saturation
% 1.77/0.67
% 1.77/0.67 % (27174)Memory used [KB]: 1150
% 1.77/0.67 % (27174)Time elapsed: 0.010 s
% 1.77/0.67 % (27174)Instructions burned: 16 (million)
% 1.77/0.67 % (27175)Instruction limit reached!
% 1.77/0.67 % (27175)------------------------------
% 1.77/0.67 % (27175)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.67 % (27175)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.67 % (27175)Termination reason: Time limit
% 1.77/0.67 % (27175)Termination phase: Saturation
% 1.77/0.67
% 1.77/0.67 % (27175)Memory used [KB]: 1164
% 1.77/0.67 % (27175)Time elapsed: 0.035 s
% 1.77/0.67 % (27175)Instructions burned: 21 (million)
% 1.77/0.68 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.68 % (27176)dis+2_1:1_av=off:bsr=on:erd=off:s2pl=on:sgt=16:sos=on:sp=frequency:ss=axioms:i=46:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/46Mi)
% 1.77/0.68 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.68 % (27177)dis+32_1:1_bd=off:nm=4:sos=on:ss=included:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/50Mi)
% 1.77/0.69 % (27153)Running in auto input_syntax mode. Trying TPTP
% 1.77/0.69 % (27178)lrs+1_1:10_av=off:drc=off:nwc=2.0:sp=reverse_frequency:thsq=on:thsqc=64:thsql=off:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/47Mi)
% 1.77/0.71 % (27176)Instruction limit reached!
% 1.77/0.71 % (27176)------------------------------
% 1.77/0.71 % (27176)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.71 % (27176)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.71 % (27176)Termination reason: Time limit
% 1.77/0.71 % (27176)Termination phase: Saturation
% 1.77/0.71
% 1.77/0.71 % (27176)Memory used [KB]: 1391
% 1.77/0.71 % (27176)Time elapsed: 0.051 s
% 1.77/0.71 % (27176)Instructions burned: 46 (million)
% 1.77/0.71 % (27177)Instruction limit reached!
% 1.77/0.71 % (27177)------------------------------
% 1.77/0.71 % (27177)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.77/0.71 % (27177)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.77/0.71 % (27177)Termination reason: Time limit
% 1.77/0.71 % (27177)Termination phase: Saturation
% 1.77/0.71
% 1.77/0.71 % (27177)Memory used [KB]: 1375
% 1.77/0.71 % (27177)Time elapsed: 0.055 s
% 1.77/0.71 % (27177)Instructions burned: 51 (million)
% 2.20/0.71 % (27178)Instruction limit reached!
% 2.20/0.71 % (27178)------------------------------
% 2.20/0.71 % (27178)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.71 % (27178)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.71 % (27178)Termination reason: Time limit
% 2.20/0.71 % (27178)Termination phase: Saturation
% 2.20/0.71
% 2.20/0.71 % (27178)Memory used [KB]: 1363
% 2.20/0.71 % (27178)Time elapsed: 0.028 s
% 2.20/0.71 % (27178)Instructions burned: 48 (million)
% 2.20/0.71 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.71 % (27179)lrs+1002_1:1_br=off:canc=force:drc=off:s2a=on:sos=on:sp=reverse_frequency:urr=on:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/42Mi)
% 2.20/0.72 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.72 % (27180)lrs+1_3:1_ep=RSTC:sos=on:urr=on:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/43Mi)
% 2.20/0.72 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.72 % (27181)dis+10_1:64_nwc=1.4:tha=off:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2997ds/21Mi)
% 2.20/0.74 % (27181)Instruction limit reached!
% 2.20/0.74 % (27181)------------------------------
% 2.20/0.74 % (27181)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.74 % (27181)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.74 % (27181)Termination reason: Time limit
% 2.20/0.74 % (27181)Termination phase: Saturation
% 2.20/0.74
% 2.20/0.74 % (27181)Memory used [KB]: 1132
% 2.20/0.74 % (27181)Time elapsed: 0.014 s
% 2.20/0.74 % (27181)Instructions burned: 22 (million)
% 2.20/0.74 % (27179)Instruction limit reached!
% 2.20/0.74 % (27179)------------------------------
% 2.20/0.74 % (27179)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.74 % (27179)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.74 % (27179)Termination reason: Time limit
% 2.20/0.74 % (27179)Termination phase: Saturation
% 2.20/0.74
% 2.20/0.74 % (27179)Memory used [KB]: 1447
% 2.20/0.74 % (27179)Time elapsed: 0.024 s
% 2.20/0.74 % (27179)Instructions burned: 42 (million)
% 2.20/0.74 % (27180)Instruction limit reached!
% 2.20/0.74 % (27180)------------------------------
% 2.20/0.74 % (27180)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.74 % (27180)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.74 % (27180)Termination reason: Time limit
% 2.20/0.74 % (27180)Termination phase: Saturation
% 2.20/0.74
% 2.20/0.74 % (27180)Memory used [KB]: 1725
% 2.20/0.74 % (27180)Time elapsed: 0.022 s
% 2.20/0.74 % (27180)Instructions burned: 45 (million)
% 2.20/0.76 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.76 % (27182)dis+1011_1:1_bd=off:canc=force:ev=cautious:nwc=5.0:i=21:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/21Mi)
% 2.20/0.76 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.76 % (27183)dis+20_1:12_aac=none:acc=model:awrs=converge:fd=preordered:fsr=off:nicw=on:nwc=3.0:s2a=on:s2agt=16:spb=goal:to=lpo:i=41:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/41Mi)
% 2.20/0.77 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.20/0.77 % (27184)lrs+10_1:1_ss=axioms:st=5.0:tha=off:i=15:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/15Mi)
% 2.20/0.77 % (27182)Instruction limit reached!
% 2.20/0.77 % (27182)------------------------------
% 2.20/0.77 % (27182)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.20/0.77 % (27182)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.20/0.77 % (27182)Termination reason: Time limit
% 2.20/0.77 % (27182)Termination phase: Saturation
% 2.20/0.77
% 2.20/0.77 % (27182)Memory used [KB]: 1196
% 2.20/0.77 % (27182)Time elapsed: 0.014 s
% 2.20/0.77 % (27182)Instructions burned: 22 (million)
% 2.63/0.78 % (27184)Instruction limit reached!
% 2.63/0.78 % (27184)------------------------------
% 2.63/0.78 % (27184)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.63/0.78 % (27184)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.63/0.78 % (27184)Termination reason: Time limit
% 2.63/0.78 % (27184)Termination phase: Saturation
% 2.63/0.78
% 2.63/0.78 % (27184)Memory used [KB]: 1116
% 2.63/0.78 % (27184)Time elapsed: 0.010 s
% 2.63/0.78 % (27184)Instructions burned: 15 (million)
% 2.63/0.79 % (27183)Instruction limit reached!
% 2.63/0.79 % (27183)------------------------------
% 2.63/0.79 % (27183)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.63/0.79 % (27183)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.63/0.79 % (27183)Termination reason: Time limit
% 2.63/0.79 % (27183)Termination phase: Saturation
% 2.63/0.79
% 2.63/0.79 % (27183)Memory used [KB]: 1476
% 2.63/0.79 % (27183)Time elapsed: 0.024 s
% 2.63/0.79 % (27183)Instructions burned: 41 (million)
% 2.63/0.79 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.79 % (27185)lrs+1_1:1_aac=none:acc=on:add=large:bd=off:bs=unit_only:bsr=on:cond=on:nm=0:sac=on:sd=3:sos=on:ss=axioms:st=2.0:i=47:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/47Mi)
% 2.63/0.79 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.79 % (27186)dis+10_1:64_nwc=1.4:rp=on:tha=off:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/25Mi)
% 2.63/0.80 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.80 % (27187)lrs+1010_1:1_aac=none:bce=on:nicw=on:nm=0:plsq=on:plsql=on:sac=on:sos=on:sp=frequency:spb=units:to=lpo:i=148:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/148Mi)
% 2.63/0.81 % (27186)Instruction limit reached!
% 2.63/0.81 % (27186)------------------------------
% 2.63/0.81 % (27186)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.63/0.81 % (27186)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.63/0.81 % (27186)Termination reason: Time limit
% 2.63/0.81 % (27186)Termination phase: Saturation
% 2.63/0.81
% 2.63/0.81 % (27186)Memory used [KB]: 1181
% 2.63/0.81 % (27186)Time elapsed: 0.015 s
% 2.63/0.81 % (27186)Instructions burned: 26 (million)
% 2.63/0.82 % (27185)Instruction limit reached!
% 2.63/0.82 % (27185)------------------------------
% 2.63/0.82 % (27185)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 2.63/0.82 % (27185)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 2.63/0.82 % (27185)Termination reason: Time limit
% 2.63/0.82 % (27185)Termination phase: Saturation
% 2.63/0.82
% 2.63/0.82 % (27185)Memory used [KB]: 1567
% 2.63/0.82 % (27185)Time elapsed: 0.029 s
% 2.63/0.82 % (27185)Instructions burned: 48 (million)
% 2.63/0.83 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.83 % (27188)lrs+10_1:1_acc=model:br=off:ins=1:newcnf=on:nwc=5.0:s2a=on:sac=on:sp=frequency:to=lpo:urr=on:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/100Mi)
% 2.63/0.83 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.83 % (27189)ott+21_1:1_bd=off:bsr=unit_only:drc=off:fd=preordered:fsr=off:nwc=3.0:sac=on:to=lpo:urr=on:i=76:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/76Mi)
% 2.63/0.84 % (27153)Running in auto input_syntax mode. Trying TPTP
% 2.63/0.84 % (27190)lrs+22_1:1_amm=sco:fsr=off:gve=force:sos=on:uwa=all:i=58:si=on:rawr=on:rtra=on_0 on theBenchmark for (2996ds/58Mi)
% 3.01/0.86 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.01/0.86 % (27191)lrs+10_1:1_thi=all:thigen=on:i=96:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/96Mi)
% 3.01/0.87 % (27190)Instruction limit reached!
% 3.01/0.87 % (27190)------------------------------
% 3.01/0.87 % (27190)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.01/0.87 % (27190)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.01/0.87 % (27190)Termination reason: Time limit
% 3.01/0.87 % (27190)Termination phase: Saturation
% 3.01/0.87
% 3.01/0.87 % (27190)Memory used [KB]: 1573
% 3.01/0.87 % (27190)Time elapsed: 0.032 s
% 3.01/0.87 % (27190)Instructions burned: 59 (million)
% 3.01/0.87 % (27189)Instruction limit reached!
% 3.01/0.87 % (27189)------------------------------
% 3.01/0.87 % (27189)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.01/0.87 % (27189)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.01/0.87 % (27189)Termination reason: Time limit
% 3.01/0.87 % (27189)Termination phase: Saturation
% 3.01/0.87
% 3.01/0.87 % (27189)Memory used [KB]: 1952
% 3.01/0.87 % (27189)Time elapsed: 0.044 s
% 3.01/0.87 % (27189)Instructions burned: 76 (million)
% 3.01/0.87 % (27187)Instruction limit reached!
% 3.01/0.87 % (27187)------------------------------
% 3.01/0.87 % (27187)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.01/0.87 % (27187)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.01/0.87 % (27187)Termination reason: Time limit
% 3.01/0.87 % (27187)Termination phase: Saturation
% 3.01/0.87
% 3.01/0.87 % (27187)Memory used [KB]: 1939
% 3.01/0.87 % (27187)Time elapsed: 0.078 s
% 3.01/0.87 % (27187)Instructions burned: 148 (million)
% 3.01/0.88 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.01/0.88 % (27192)lrs+10_1:3_add=large:afr=on:anc=all_dependent:avsq=on:avsqr=21,226:awrs=decay:awrsf=47:br=off:bsd=on:canc=cautious:cond=fast:fd=preordered:fsd=on:fsr=off:gs=on:gve=force:ins=1:lma=on:s2agt=4:s2at=1.9:sas=z3:slsq=on:slsqc=1:slsqr=13,121:sp=reverse_arity:tha=some:to=lpo:uace=off:uhcvi=on:updr=off:urr=ec_only:i=108:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/108Mi)
% 3.35/0.89 % (27188)Instruction limit reached!
% 3.35/0.89 % (27188)------------------------------
% 3.35/0.89 % (27188)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.35/0.89 % (27188)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.35/0.89 % (27188)Termination reason: Time limit
% 3.35/0.89 % (27188)Termination phase: Saturation
% 3.35/0.89
% 3.35/0.89 % (27188)Memory used [KB]: 1934
% 3.35/0.89 % (27188)Time elapsed: 0.057 s
% 3.35/0.89 % (27188)Instructions burned: 101 (million)
% 3.49/0.91 % (27191)Instruction limit reached!
% 3.49/0.91 % (27191)------------------------------
% 3.49/0.91 % (27191)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.49/0.91 % (27191)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.49/0.91 % (27191)Termination reason: Time limit
% 3.49/0.92 % (27191)Termination phase: Saturation
% 3.49/0.92
% 3.49/0.92 % (27191)Memory used [KB]: 1197
% 3.49/0.92 % (27191)Time elapsed: 0.056 s
% 3.49/0.92 % (27191)Instructions burned: 96 (million)
% 3.49/0.93 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.49/0.93 % (27193)lrs+10_1:1_plsq=on:plsqc=1:plsqr=32,1:tha=off:thi=overlap:i=463:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/463Mi)
% 3.49/0.93 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.49/0.93 % (27194)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=494:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/494Mi)
% 3.49/0.93 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.49/0.93 % (27195)lrs+10_1:1_newcnf=on:sas=z3:tgt=ground:tha=off:i=223:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/223Mi)
% 3.63/0.93 % (27192)Instruction limit reached!
% 3.63/0.93 % (27192)------------------------------
% 3.63/0.93 % (27192)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.63/0.93 % (27192)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.63/0.93 % (27192)Termination reason: Time limit
% 3.63/0.93 % (27192)Termination phase: Saturation
% 3.63/0.93
% 3.63/0.93 % (27192)Memory used [KB]: 1195
% 3.63/0.93 % (27192)Time elapsed: 0.059 s
% 3.63/0.93 % (27192)Instructions burned: 110 (million)
% 3.63/0.94 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.63/0.94 % (27196)lrs+1002_1:1_av=off:br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=343:si=on:rawr=on:rtra=on_0 on theBenchmark for (2995ds/343Mi)
% 3.63/0.98 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.63/0.98 % (27197)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/488Mi)
% 3.63/0.99 % (27153)Running in auto input_syntax mode. Trying TPTP
% 3.63/0.99 % (27198)lrs+1010_5:1_aer=off:norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=150:si=on:rawr=on:rtra=on_0 on theBenchmark for (2994ds/150Mi)
% 3.82/1.04 % (27195)Instruction limit reached!
% 3.82/1.04 % (27195)------------------------------
% 3.82/1.04 % (27195)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.82/1.04 % (27195)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.82/1.04 % (27195)Termination reason: Time limit
% 3.82/1.04 % (27195)Termination phase: Saturation
% 3.82/1.04
% 3.82/1.04 % (27195)Memory used [KB]: 1532
% 3.82/1.04 % (27195)Time elapsed: 0.113 s
% 3.82/1.04 % (27195)Instructions burned: 224 (million)
% 3.82/1.07 % (27198)Instruction limit reached!
% 3.82/1.07 % (27198)------------------------------
% 3.82/1.07 % (27198)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 3.82/1.07 % (27198)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 3.82/1.07 % (27198)Termination reason: Time limit
% 3.82/1.07 % (27198)Termination phase: Saturation
% 3.82/1.07
% 3.82/1.07 % (27198)Memory used [KB]: 1079
% 3.82/1.07 % (27198)Time elapsed: 0.076 s
% 3.82/1.07 % (27198)Instructions burned: 150 (million)
% 4.18/1.10 % (27153)Running in auto input_syntax mode. Trying TPTP
% 4.18/1.10 % (27199)lrs+1011_1:1_br=off:fde=none:norm_ineq=on:nwc=10.0:sas=z3:slsq=on:slsqc=2:slsql=off:slsqr=1,4:sp=reverse_frequency:i=160:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/160Mi)
% 4.18/1.11 % (27196)Instruction limit reached!
% 4.18/1.11 % (27196)------------------------------
% 4.18/1.11 % (27196)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.18/1.11 % (27196)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.18/1.11 % (27196)Termination reason: Time limit
% 4.18/1.11 % (27196)Termination phase: Saturation
% 4.18/1.11
% 4.18/1.11 % (27196)Memory used [KB]: 2436
% 4.18/1.11 % (27196)Time elapsed: 0.168 s
% 4.18/1.11 % (27196)Instructions burned: 343 (million)
% 4.18/1.13 % (27153)Running in auto input_syntax mode. Trying TPTP
% 4.18/1.13 % (27200)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2993ds/370Mi)
% 4.18/1.17 % (27194)Instruction limit reached!
% 4.18/1.17 % (27194)------------------------------
% 4.18/1.17 % (27194)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.18/1.17 % (27194)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.18/1.17 % (27194)Termination reason: Time limit
% 4.18/1.17 % (27194)Termination phase: Saturation
% 4.18/1.17
% 4.18/1.17 % (27194)Memory used [KB]: 3458
% 4.18/1.17 % (27194)Time elapsed: 0.238 s
% 4.18/1.17 % (27194)Instructions burned: 494 (million)
% 4.18/1.17 % (27193)Instruction limit reached!
% 4.18/1.17 % (27193)------------------------------
% 4.18/1.17 % (27193)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 4.18/1.17 % (27193)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 4.18/1.17 % (27193)Termination reason: Time limit
% 4.18/1.17 % (27193)Termination phase: Saturation
% 4.18/1.17
% 4.18/1.17 % (27193)Memory used [KB]: 4528
% 4.18/1.17 % (27193)Time elapsed: 0.241 s
% 4.18/1.17 % (27193)Instructions burned: 463 (million)
% 4.18/1.17 % (27153)Running in auto input_syntax mode. Trying TPTP
% 4.18/1.17 % (27201)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=493:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/493Mi)
% 5.63/1.18 % (27199)Instruction limit reached!
% 5.63/1.18 % (27199)------------------------------
% 5.63/1.18 % (27199)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.63/1.18 % (27199)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.63/1.18 % (27199)Termination reason: Time limit
% 5.63/1.18 % (27199)Termination phase: Saturation
% 5.63/1.18
% 5.63/1.18 % (27199)Memory used [KB]: 1221
% 5.63/1.18 % (27199)Time elapsed: 0.082 s
% 5.63/1.18 % (27199)Instructions burned: 160 (million)
% 5.73/1.22 % (27197)Instruction limit reached!
% 5.73/1.22 % (27197)------------------------------
% 5.73/1.22 % (27197)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.73/1.22 % (27197)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.73/1.22 % (27197)Termination reason: Time limit
% 5.73/1.22 % (27197)Termination phase: Saturation
% 5.73/1.22
% 5.73/1.22 % (27197)Memory used [KB]: 3146
% 5.73/1.22 % (27197)Time elapsed: 0.242 s
% 5.73/1.22 % (27197)Instructions burned: 489 (million)
% 5.73/1.23 % (27153)Running in auto input_syntax mode. Trying TPTP
% 5.73/1.23 % (27203)lrs+10_1:1_amm=sco:norm_ineq=on:nwc=3.0:plsq=on:plsqc=2:plsqr=32,1:sas=z3:sp=const_min:tha=off:to=lpo:i=146:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/146Mi)
% 5.73/1.23 % (27153)Running in auto input_syntax mode. Trying TPTP
% 5.73/1.23 % (27202)dis+10_1:1_aac=none:abs=on:bce=on:bd=off:bsr=unit_only:drc=off:fd=preordered:fsd=on:gve=cautious:lcm=reverse:nm=16:plsq=on:plsqc=1:plsqr=232,15:sfv=off:slsq=on:slsql=off:slsqr=3,2:sos=on:sp=weighted_frequency:i=81:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/81Mi)
% 5.86/1.24 % (27153)Running in auto input_syntax mode. Trying TPTP
% 5.86/1.24 % (27204)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=211:si=on:rawr=on:rtra=on_0 on theBenchmark for (2992ds/211Mi)
% 5.86/1.27 % (27202)Instruction limit reached!
% 5.86/1.27 % (27202)------------------------------
% 5.86/1.27 % (27202)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.86/1.27 % (27202)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.86/1.27 % (27202)Termination reason: Time limit
% 5.86/1.27 % (27202)Termination phase: Saturation
% 5.86/1.27
% 5.86/1.27 % (27202)Memory used [KB]: 1741
% 5.86/1.27 % (27202)Time elapsed: 0.046 s
% 5.86/1.27 % (27202)Instructions burned: 82 (million)
% 5.86/1.28 % (27153)Running in auto input_syntax mode. Trying TPTP
% 5.86/1.28 % (27205)dis+1010_1:1_s2a=on:sp=frequency:to=lpo:i=274:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/274Mi)
% 5.86/1.30 % (27203)Instruction limit reached!
% 5.86/1.30 % (27203)------------------------------
% 5.86/1.30 % (27203)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.86/1.30 % (27203)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.86/1.30 % (27203)Termination reason: Time limit
% 5.86/1.30 % (27203)Termination phase: Saturation
% 5.86/1.30
% 5.86/1.30 % (27203)Memory used [KB]: 1142
% 5.86/1.30 % (27203)Time elapsed: 0.073 s
% 5.86/1.30 % (27203)Instructions burned: 147 (million)
% 5.86/1.32 % (27200)Instruction limit reached!
% 5.86/1.32 % (27200)------------------------------
% 5.86/1.32 % (27200)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 5.86/1.32 % (27200)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 5.86/1.32 % (27200)Termination reason: Time limit
% 5.86/1.32 % (27200)Termination phase: Saturation
% 5.86/1.32
% 5.86/1.32 % (27200)Memory used [KB]: 2172
% 5.86/1.32 % (27200)Time elapsed: 0.191 s
% 5.86/1.32 % (27200)Instructions burned: 371 (million)
% 5.86/1.33 % (27153)Running in auto input_syntax mode. Trying TPTP
% 5.86/1.33 % (27206)lrs+1002_1:1_nm=0:sd=1:ss=axioms:urr=ec_only:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/330Mi)
% 6.39/1.34 % (27204)Instruction limit reached!
% 6.39/1.34 % (27204)------------------------------
% 6.39/1.34 % (27204)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.39/1.34 % (27204)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.39/1.34 % (27204)Termination reason: Time limit
% 6.39/1.34 % (27204)Termination phase: Saturation
% 6.39/1.34
% 6.39/1.34 % (27204)Memory used [KB]: 2558
% 6.39/1.34 % (27204)Time elapsed: 0.106 s
% 6.39/1.34 % (27204)Instructions burned: 211 (million)
% 6.39/1.35 % (27153)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.35 % (27207)lrs+11_1:1_erd=off:fs=off:fsr=off:norm_ineq=on:nwc=10.0:s2a=on:s2at=3.0:sas=z3:tha=some:i=294:si=on:rawr=on:rtra=on_0 on theBenchmark for (2991ds/294Mi)
% 6.39/1.38 % (27153)Running in auto input_syntax mode. Trying TPTP
% 6.39/1.38 % (27208)lrs+30_1:64_flr=on:sp=frequency:to=lpo:i=213:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/213Mi)
% 6.68/1.40 % (27153)Running in auto input_syntax mode. Trying TPTP
% 6.68/1.40 % (27209)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=374:si=on:rawr=on:rtra=on_0 on theBenchmark for (2990ds/374Mi)
% 6.68/1.41 % (27205)Instruction limit reached!
% 6.68/1.41 % (27205)------------------------------
% 6.68/1.41 % (27205)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.68/1.41 % (27205)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.68/1.41 % (27205)Termination reason: Time limit
% 6.68/1.41 % (27205)Termination phase: Saturation
% 6.68/1.41
% 6.68/1.41 % (27205)Memory used [KB]: 2648
% 6.68/1.41 % (27205)Time elapsed: 0.141 s
% 6.68/1.41 % (27205)Instructions burned: 274 (million)
% 6.68/1.42 % (27201)Refutation not found, non-redundant clauses discarded% (27201)------------------------------
% 6.68/1.42 % (27201)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.68/1.42 % (27201)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.68/1.42 % (27201)Termination reason: Refutation not found, non-redundant clauses discarded
% 6.68/1.42
% 6.68/1.42 % (27201)Memory used [KB]: 2509
% 6.68/1.42 % (27201)Time elapsed: 0.249 s
% 6.68/1.42 % (27201)Instructions burned: 482 (million)
% 6.68/1.42 % (27201)------------------------------
% 6.68/1.42 % (27201)------------------------------
% 6.97/1.47 % (27153)Running in auto input_syntax mode. Trying TPTP
% 6.97/1.47 % Exception at run slice level
% 6.97/1.47 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=500:si=on:rawr=on:rtra=on_0
% 6.97/1.47 % (27153)Running in auto input_syntax mode. Trying TPTP
% 6.97/1.47 % (27211)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=488:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/488Mi)
% 6.97/1.49 % (27206)Instruction limit reached!
% 6.97/1.49 % (27206)------------------------------
% 6.97/1.49 % (27206)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.97/1.49 % (27206)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.97/1.49 % (27206)Termination reason: Time limit
% 6.97/1.49 % (27206)Termination phase: Saturation
% 6.97/1.49
% 6.97/1.49 % (27206)Memory used [KB]: 2529
% 6.97/1.49 % (27206)Time elapsed: 0.164 s
% 6.97/1.49 % (27206)Instructions burned: 331 (million)
% 6.97/1.49 % (27208)Instruction limit reached!
% 6.97/1.49 % (27208)------------------------------
% 6.97/1.49 % (27208)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 6.97/1.49 % (27208)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 6.97/1.49 % (27208)Termination reason: Time limit
% 6.97/1.49 % (27208)Termination phase: Saturation
% 6.97/1.49
% 6.97/1.49 % (27208)Memory used [KB]: 5244
% 6.97/1.49 % (27208)Time elapsed: 0.115 s
% 6.97/1.49 % (27208)Instructions burned: 214 (million)
% 7.46/1.50 % (27207)Instruction limit reached!
% 7.46/1.50 % (27207)------------------------------
% 7.46/1.50 % (27207)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.46/1.50 % (27207)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.46/1.50 % (27207)Termination reason: Time limit
% 7.46/1.50 % (27207)Termination phase: Saturation
% 7.46/1.50
% 7.46/1.50 % (27207)Memory used [KB]: 1807
% 7.46/1.50 % (27207)Time elapsed: 0.152 s
% 7.46/1.50 % (27207)Instructions burned: 295 (million)
% 7.46/1.53 % (27153)Running in auto input_syntax mode. Trying TPTP
% 7.46/1.53 % (27212)lrs+10_1:1_abs=on:ev=cautious:nwc=10.0:s2a=on:sas=z3:tha=off:thi=all:thigen=on:i=230:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/230Mi)
% 7.70/1.55 % (27153)Running in auto input_syntax mode. Trying TPTP
% 7.70/1.55 % (27213)lrs+1010_1:1_bsr=unit_only:cond=on:flr=on:newcnf=on:nwc=10.0:sas=z3:to=lpo:i=360:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/360Mi)
% 7.70/1.55 % (27153)Running in auto input_syntax mode. Trying TPTP
% 7.70/1.55 % (27214)dis+31_1:1_lcm=reverse:norm_ineq=on:nwc=10.0:sas=z3:tha=off:urr=on:i=382:si=on:rawr=on:rtra=on_0 on theBenchmark for (2989ds/382Mi)
% 7.70/1.57 % (27153)Running in auto input_syntax mode. Trying TPTP
% 7.70/1.57 % (27215)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2988ds/256Mi)
% 7.70/1.60 % (27209)Instruction limit reached!
% 7.70/1.60 % (27209)------------------------------
% 7.70/1.60 % (27209)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 7.70/1.60 % (27209)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 7.70/1.60 % (27209)Termination reason: Time limit
% 7.70/1.60 % (27209)Termination phase: Saturation
% 7.70/1.60
% 7.70/1.60 % (27209)Memory used [KB]: 3326
% 7.70/1.60 % (27209)Time elapsed: 0.197 s
% 7.70/1.60 % (27209)Instructions burned: 374 (million)
% 8.05/1.65 % (27212)Instruction limit reached!
% 8.05/1.65 % (27212)------------------------------
% 8.05/1.65 % (27212)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.05/1.65 % (27212)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.05/1.65 % (27212)Termination reason: Time limit
% 8.05/1.65 % (27212)Termination phase: Saturation
% 8.05/1.65
% 8.05/1.65 % (27212)Memory used [KB]: 1786
% 8.05/1.65 % (27212)Time elapsed: 0.147 s
% 8.05/1.65 % (27212)Instructions burned: 230 (million)
% 8.05/1.66 % (27153)Running in auto input_syntax mode. Trying TPTP
% 8.05/1.66 % (27216)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/1006Mi)
% 8.30/1.71 % (27215)Refutation not found, non-redundant clauses discarded% (27215)------------------------------
% 8.30/1.71 % (27215)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.30/1.71 % (27215)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.30/1.71 % (27215)Termination reason: Refutation not found, non-redundant clauses discarded
% 8.30/1.71
% 8.30/1.71 % (27215)Memory used [KB]: 2274
% 8.30/1.71 % (27215)Time elapsed: 0.142 s
% 8.30/1.71 % (27215)Instructions burned: 256 (million)
% 8.30/1.71 % (27215)------------------------------
% 8.30/1.71 % (27215)------------------------------
% 8.30/1.71 % (27153)Running in auto input_syntax mode. Trying TPTP
% 8.30/1.71 % (27217)dis+1004_1:3_av=off:bs=on:plsq=on:i=3721:si=on:rawr=on:rtra=on_0 on theBenchmark for (2987ds/3721Mi)
% 8.30/1.71 % (27211)Instruction limit reached!
% 8.30/1.71 % (27211)------------------------------
% 8.30/1.71 % (27211)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.30/1.71 % (27211)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.30/1.71 % (27211)Termination reason: Time limit
% 8.30/1.71 % (27211)Termination phase: Saturation
% 8.30/1.71
% 8.30/1.71 % (27211)Memory used [KB]: 3070
% 8.30/1.71 % (27211)Time elapsed: 0.259 s
% 8.30/1.71 % (27211)Instructions burned: 488 (million)
% 8.30/1.73 % (27214)Instruction limit reached!
% 8.30/1.73 % (27214)------------------------------
% 8.30/1.73 % (27214)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.30/1.73 % (27214)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.30/1.73 % (27214)Termination reason: Time limit
% 8.30/1.73 % (27214)Termination phase: Saturation
% 8.30/1.73
% 8.30/1.73 % (27214)Memory used [KB]: 2281
% 8.30/1.73 % (27214)Time elapsed: 0.189 s
% 8.30/1.73 % (27214)Instructions burned: 382 (million)
% 8.30/1.73 % (27213)Instruction limit reached!
% 8.30/1.73 % (27213)------------------------------
% 8.30/1.73 % (27213)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 8.30/1.73 % (27213)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 8.30/1.73 % (27213)Termination reason: Time limit
% 8.30/1.73 % (27213)Termination phase: Saturation
% 8.30/1.73
% 8.30/1.73 % (27213)Memory used [KB]: 2264
% 8.30/1.73 % (27213)Time elapsed: 0.211 s
% 8.30/1.73 % (27213)Instructions burned: 360 (million)
% 8.30/1.76 % (27153)Running in auto input_syntax mode. Trying TPTP
% 8.30/1.76 % (27218)ott+10_1:1_bd=preordered:drc=off:fd=preordered:nwc=5.0:sp=reverse_frequency:i=501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/501Mi)
% 8.30/1.77 % (27153)Running in auto input_syntax mode. Trying TPTP
% 8.30/1.77 % (27219)ott+1011_1:1_anc=all:avsq=on:avsqc=1:bsr=unit_only:drc=off:erd=off:fs=off:fsr=off:nwc=3.0:s2a=on:s2at=1.5:sac=on:urr=on:i=1705:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1705Mi)
% 9.85/1.79 % (27153)Running in auto input_syntax mode. Trying TPTP
% 9.85/1.79 % (27220)lrs+10_1:1_av=off:sd=10:sos=all:ss=axioms:st=4.0:i=2416:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/2416Mi)
% 9.85/1.79 % (27153)Running in auto input_syntax mode. Trying TPTP
% 9.85/1.79 % (27221)dis+10_1:64_s2a=on:s2agt=16:slsq=on:slsqc=1:slsqr=1,1:i=1683:si=on:rawr=on:rtra=on_0 on theBenchmark for (2986ds/1683Mi)
% 11.19/2.04 % (27218)Instruction limit reached!
% 11.19/2.04 % (27218)------------------------------
% 11.19/2.04 % (27218)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 11.19/2.04 % (27218)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 11.19/2.04 % (27218)Termination reason: Time limit
% 11.19/2.04 % (27218)Termination phase: Saturation
% 11.19/2.04
% 11.19/2.04 % (27218)Memory used [KB]: 4721
% 11.19/2.04 % (27218)Time elapsed: 0.275 s
% 11.19/2.04 % (27218)Instructions burned: 502 (million)
% 11.88/2.09 % (27153)Running in auto input_syntax mode. Trying TPTP
% 11.88/2.09 % (27222)dis+1011_1:1_av=off:fsr=off:nm=6:plsq=on:s2a=on:s2at=3.0:slsq=on:slsqc=0:slsqr=1,8:sp=frequency:to=lpo:i=330:si=on:rawr=on:rtra=on_0 on theBenchmark for (2983ds/330Mi)
% 12.22/2.18 % (27216)Instruction limit reached!
% 12.22/2.18 % (27216)------------------------------
% 12.22/2.18 % (27216)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.22/2.18 % (27216)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.22/2.18 % (27216)Termination reason: Time limit
% 12.22/2.18 % (27216)Termination phase: Saturation
% 12.22/2.18
% 12.22/2.18 % (27216)Memory used [KB]: 5297
% 12.22/2.18 % (27216)Time elapsed: 0.522 s
% 12.22/2.18 % (27216)Instructions burned: 1006 (million)
% 12.71/2.24 % (27153)Running in auto input_syntax mode. Trying TPTP
% 12.71/2.24 % (27223)lrs+10_1:1_afp=1:sac=on:sas=z3:tha=off:i=113:si=on:rawr=on:rtra=on_0 on theBenchmark for (2982ds/113Mi)
% 12.71/2.26 % (27222)Instruction limit reached!
% 12.71/2.26 % (27222)------------------------------
% 12.71/2.26 % (27222)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.71/2.26 % (27222)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.71/2.26 % (27222)Termination reason: Time limit
% 12.71/2.26 % (27222)Termination phase: Saturation
% 12.71/2.26
% 12.71/2.26 % (27222)Memory used [KB]: 3503
% 12.71/2.26 % (27222)Time elapsed: 0.172 s
% 12.71/2.26 % (27222)Instructions burned: 331 (million)
% 12.71/2.29 % (27223)Instruction limit reached!
% 12.71/2.29 % (27223)------------------------------
% 12.71/2.29 % (27223)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 12.71/2.29 % (27223)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 12.71/2.29 % (27223)Termination reason: Time limit
% 12.71/2.29 % (27223)Termination phase: Saturation
% 12.71/2.29
% 12.71/2.29 % (27223)Memory used [KB]: 1019
% 12.71/2.29 % (27223)Time elapsed: 0.059 s
% 12.71/2.29 % (27223)Instructions burned: 114 (million)
% 13.44/2.32 % (27153)Running in auto input_syntax mode. Trying TPTP
% 13.44/2.32 % (27224)lrs+10_1:1_ep=RS:fsr=off:sos=all:i=3217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/3217Mi)
% 13.44/2.35 % (27153)Running in auto input_syntax mode. Trying TPTP
% 13.44/2.35 % (27225)ott+10_6715:511922_awrs=decay:awrsf=1:bd=preordered:bs=on:drc=off:fd=preordered:nwc=5.0:sp=frequency:spb=goal_then_units:uwa=interpreted_only:i=3528:si=on:rawr=on:rtra=on_0 on theBenchmark for (2981ds/3528Mi)
% 14.09/2.41 % (27219)Instruction limit reached!
% 14.09/2.41 % (27219)------------------------------
% 14.09/2.41 % (27219)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.09/2.41 % (27219)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.09/2.41 % (27219)Termination reason: Time limit
% 14.09/2.41 % (27219)Termination phase: Saturation
% 14.09/2.41
% 14.09/2.41 % (27219)Memory used [KB]: 4038
% 14.09/2.41 % (27219)Time elapsed: 0.647 s
% 14.09/2.41 % (27219)Instructions burned: 1705 (million)
% 14.18/2.47 % (27153)Running in auto input_syntax mode. Trying TPTP
% 14.18/2.47 % (27226)lrs+1011_1:6_aac=none:afr=on:bce=on:bsr=unit_only:canc=cautious:cond=fast:fde=unused:newcnf=on:nwc=3.0:s2a=on:s2agt=40:sas=z3:sfv=off:sp=weighted_frequency:spb=units:tha=off:to=lpo:i=2304:si=on:rawr=on:rtra=on_0 on theBenchmark for (2979ds/2304Mi)
% 14.67/2.58 % (27221)Instruction limit reached!
% 14.67/2.58 % (27221)------------------------------
% 14.67/2.58 % (27221)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 14.67/2.58 % (27221)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 14.67/2.58 % (27221)Termination reason: Time limit
% 14.67/2.58 % (27221)Termination phase: Saturation
% 14.67/2.58
% 14.67/2.58 % (27221)Memory used [KB]: 8188
% 14.67/2.58 % (27221)Time elapsed: 0.795 s
% 14.67/2.58 % (27221)Instructions burned: 1683 (million)
% 15.10/2.64 % (27153)Running in auto input_syntax mode. Trying TPTP
% 15.10/2.64 % (27227)dis+1011_1:1_abs=on:bd=off:flr=on:nm=0:s2at=3.0:sas=z3:sfv=off:slsq=on:slsqc=2:slsqr=46,31:sp=const_frequency:tgt=ground:tha=some:thi=overlap:thitd=on:thsq=on:thsqc=32:thsqd=32:thsqr=7,4:i=3780:si=on:rawr=on:rtra=on_0 on theBenchmark for (2978ds/3780Mi)
% 18.48/3.08 % (27220)Instruction limit reached!
% 18.48/3.08 % (27220)------------------------------
% 18.48/3.08 % (27220)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 18.48/3.08 % (27220)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 18.48/3.08 % (27220)Termination reason: Time limit
% 18.48/3.08 % (27220)Termination phase: Saturation
% 18.48/3.08
% 18.48/3.08 % (27220)Memory used [KB]: 8788
% 18.48/3.08 % (27220)Time elapsed: 1.290 s
% 18.48/3.08 % (27220)Instructions burned: 2416 (million)
% 19.06/3.14 % (27153)Running in auto input_syntax mode. Trying TPTP
% 19.06/3.14 % (27228)lrs+10_1:32_newcnf=on:sas=z3:tgt=ground:tha=off:i=238:si=on:rawr=on:rtra=on_0 on theBenchmark for (2973ds/238Mi)
% 19.68/3.25 % (27228)Instruction limit reached!
% 19.68/3.25 % (27228)------------------------------
% 19.68/3.25 % (27228)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 19.68/3.25 % (27228)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 19.68/3.25 % (27228)Termination reason: Time limit
% 19.68/3.25 % (27228)Termination phase: Saturation
% 19.68/3.25
% 19.68/3.25 % (27228)Memory used [KB]: 1621
% 19.68/3.25 % (27228)Time elapsed: 0.118 s
% 19.68/3.25 % (27228)Instructions burned: 240 (million)
% 20.44/3.31 % (27153)Running in auto input_syntax mode. Trying TPTP
% 20.44/3.31 % (27229)dis+1002_1:1_aac=none:abs=on:nicw=on:sac=on:sas=z3:tgt=ground:tha=some:to=lpo:i=656:si=on:rawr=on:rtra=on_0 on theBenchmark for (2971ds/656Mi)
% 21.63/3.55 % (27217)Instruction limit reached!
% 21.63/3.55 % (27217)------------------------------
% 21.63/3.55 % (27217)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 21.63/3.55 % (27217)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 21.63/3.55 % (27217)Termination reason: Time limit
% 21.63/3.55 % (27217)Termination phase: Saturation
% 21.63/3.55
% 21.63/3.55 % (27217)Memory used [KB]: 26364
% 21.63/3.55 % (27217)Time elapsed: 1.841 s
% 21.63/3.55 % (27217)Instructions burned: 3721 (million)
% 21.63/3.59 % (27226)Instruction limit reached!
% 21.63/3.59 % (27226)------------------------------
% 21.63/3.59 % (27226)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.21/3.59 % (27226)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.21/3.59 % (27226)Termination reason: Time limit
% 22.21/3.59 % (27226)Termination phase: Saturation
% 22.21/3.59
% 22.21/3.59 % (27226)Memory used [KB]: 7795
% 22.21/3.59 % (27226)Time elapsed: 1.126 s
% 22.21/3.59 % (27226)Instructions burned: 2304 (million)
% 22.23/3.61 % (27153)Running in auto input_syntax mode. Trying TPTP
% 22.23/3.61 % (27230)dis+1010_1:4_aac=none:abs=on:atotf=0.5:avsq=on:avsqc=2:avsqr=215,247:awrs=converge:awrsf=128:bsd=on:erd=off:fde=none:gve=cautious:newcnf=on:nwc=5.0:rnwc=on:sac=on:sas=z3:sp=const_min:tgt=ground:thsq=on:thsqc=64:thsqr=1,4:i=485:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/485Mi)
% 22.23/3.64 % (27229)Instruction limit reached!
% 22.23/3.64 % (27229)------------------------------
% 22.23/3.64 % (27229)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 22.23/3.64 % (27229)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 22.23/3.64 % (27229)Termination reason: Time limit
% 22.23/3.64 % (27229)Termination phase: Saturation
% 22.23/3.64
% 22.23/3.64 % (27229)Memory used [KB]: 4788
% 22.23/3.64 % (27229)Time elapsed: 0.330 s
% 22.23/3.64 % (27229)Instructions burned: 657 (million)
% 22.23/3.66 % (27153)Running in auto input_syntax mode. Trying TPTP
% 22.23/3.66 % (27231)lrs+1010_1:1_aac=none:abs=on:bd=off:fd=off:nm=0:sas=z3:sims=off:tha=off:to=lpo:i=1302:si=on:rawr=on:rtra=on_0 on theBenchmark for (2968ds/1302Mi)
% 22.23/3.71 % (27153)Running in auto input_syntax mode. Trying TPTP
% 22.23/3.71 % (27232)lrs+1011_4:1_abs=on:afp=20:amm=off:anc=all:bd=off:br=off:canc=force:s2a=on:sas=z3:slsq=on:urr=on:i=980:si=on:rawr=on:rtra=on_0 on theBenchmark for (2967ds/980Mi)
% 24.09/3.87 % (27230)Instruction limit reached!
% 24.09/3.87 % (27230)------------------------------
% 24.09/3.87 % (27230)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.09/3.87 % (27230)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.09/3.87 % (27230)Termination reason: Time limit
% 24.09/3.87 % (27230)Termination phase: Saturation
% 24.09/3.87
% 24.09/3.87 % (27230)Memory used [KB]: 3788
% 24.09/3.87 % (27230)Time elapsed: 0.256 s
% 24.09/3.87 % (27230)Instructions burned: 485 (million)
% 24.74/3.92 % (27153)Running in auto input_syntax mode. Trying TPTP
% 24.74/3.92 % Exception at run slice level
% 24.74/3.92 User error: bad test id ins+10_1:32_fd=off:fs=off:fsr=off:igrr=4/7:igwr=on:urr=ec_only:i=591:si=on:rawr=on:rtra=on_0
% 24.74/3.93 % (27224)Instruction limit reached!
% 24.74/3.93 % (27224)------------------------------
% 24.74/3.93 % (27224)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 24.74/3.93 % (27224)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 24.74/3.93 % (27224)Termination reason: Time limit
% 24.74/3.93 % (27224)Termination phase: Saturation
% 24.74/3.93
% 24.74/3.93 % (27224)Memory used [KB]: 16331
% 24.74/3.93 % (27224)Time elapsed: 1.614 s
% 24.74/3.93 % (27224)Instructions burned: 3217 (million)
% 24.74/3.98 % (27153)Running in auto input_syntax mode. Trying TPTP
% 24.74/3.98 % (27234)lrs+1011_1:1_br=off:fs=off:fsr=off:tha=off:urr=ec_only:i=638:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/638Mi)
% 24.74/3.99 % (27153)Running in auto input_syntax mode. Trying TPTP
% 24.74/3.99 % (27235)WARNING: option skr not known.
% 24.74/3.99 % (27235)dis+1010_137062:920759_aac=none:abs=on:amm=sco:anc=none:asg=cautious:atotf=0.5:avsq=on:avsqc=2:avsqr=383,440:bce=on:bsd=on:erd=off:fde=unused:gs=on:gve=cautious:newcnf=on:nwc=3.3:sac=on:sas=z3:sfv=off:skr=on:spb=goal:tgt=ground:thsq=on:thsqc=128:thsql=off:uwa=all:i=947:si=on:rawr=on:rtra=on_0 on theBenchmark for (2964ds/947Mi)
% 25.84/4.16 % (27232)Instruction limit reached!
% 25.84/4.16 % (27232)------------------------------
% 25.84/4.16 % (27232)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 25.84/4.16 % (27232)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 25.84/4.16 % (27232)Termination reason: Time limit
% 25.84/4.16 % (27232)Termination phase: Saturation
% 25.84/4.16
% 25.84/4.16 % (27232)Memory used [KB]: 5349
% 25.84/4.16 % (27232)Time elapsed: 0.453 s
% 25.84/4.16 % (27232)Instructions burned: 981 (million)
% 26.30/4.22 % (27153)Running in auto input_syntax mode. Trying TPTP
% 26.30/4.22 % (27236)lrs+10_1:1024_drc=off:fde=none:gve=force:nm=4:norm_ineq=on:sas=z3:sos=all:sp=const_min:spb=non_intro:to=lpo:uwa=one_side_constant:i=691:si=on:rawr=on:rtra=on_0 on theBenchmark for (2962ds/691Mi)
% 26.30/4.29 % (27231)Instruction limit reached!
% 26.30/4.29 % (27231)------------------------------
% 26.30/4.29 % (27231)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.30/4.29 % (27231)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.30/4.29 % (27231)Termination reason: Time limit
% 26.30/4.29 % (27231)Termination phase: Saturation
% 26.30/4.29
% 26.30/4.29 % (27231)Memory used [KB]: 6768
% 26.30/4.29 % (27231)Time elapsed: 0.634 s
% 26.30/4.29 % (27231)Instructions burned: 1304 (million)
% 26.30/4.29 % (27225)Instruction limit reached!
% 26.30/4.29 % (27225)------------------------------
% 26.30/4.29 % (27225)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.30/4.29 % (27225)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.30/4.29 % (27225)Termination reason: Time limit
% 26.30/4.29 % (27225)Termination phase: Saturation
% 26.30/4.29
% 26.30/4.29 % (27225)Memory used [KB]: 10025
% 26.30/4.29 % (27225)Time elapsed: 1.943 s
% 26.30/4.29 % (27225)Instructions burned: 3529 (million)
% 26.30/4.29 % (27234)Instruction limit reached!
% 26.30/4.29 % (27234)------------------------------
% 26.30/4.29 % (27234)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 26.30/4.29 % (27234)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 26.30/4.29 % (27234)Termination reason: Time limit
% 26.30/4.29 % (27234)Termination phase: Saturation
% 26.30/4.29
% 26.30/4.29 % (27234)Memory used [KB]: 3745
% 26.30/4.29 % (27234)Time elapsed: 0.337 s
% 26.30/4.29 % (27234)Instructions burned: 639 (million)
% 26.63/4.35 % (27153)Running in auto input_syntax mode. Trying TPTP
% 26.63/4.35 % (27239)lrs+1011_1:1_bce=on:drc=off:erd=off:gve=force:ins=2:norm_ineq=on:sac=on:sp=frequency:tha=some:urr=on:i=3058:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/3058Mi)
% 26.63/4.35 % (27153)Running in auto input_syntax mode. Trying TPTP
% 26.63/4.35 % (27237)lrs+10_1:128_asg=cautious:drc=off:fde=none:gve=force:norm_ineq=on:sas=z3:sos=all:sp=reverse_arity:spb=intro:ss=axioms:to=lpo:uwa=one_side_constant:i=370:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/370Mi)
% 26.63/4.35 % (27153)Running in auto input_syntax mode. Trying TPTP
% 26.63/4.35 % (27238)dis+10_1:1_bd=off:fde=unused:gsp=on:ins=1:norm_ineq=on:sas=z3:sos=all:tha=off:i=361:si=on:rawr=on:rtra=on_0 on theBenchmark for (2961ds/361Mi)
% 28.41/4.43 % (27235)Instruction limit reached!
% 28.41/4.43 % (27235)------------------------------
% 28.41/4.43 % (27235)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.41/4.43 % (27235)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.41/4.43 % (27235)Termination reason: Time limit
% 28.41/4.43 % (27235)Termination phase: Saturation
% 28.41/4.43
% 28.41/4.43 % (27235)Memory used [KB]: 5573
% 28.41/4.43 % (27235)Time elapsed: 0.462 s
% 28.41/4.43 % (27235)Instructions burned: 947 (million)
% 28.41/4.48 % (27227)Instruction limit reached!
% 28.41/4.48 % (27227)------------------------------
% 28.41/4.48 % (27227)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.41/4.48 % (27227)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.41/4.48 % (27227)Termination reason: Time limit
% 28.41/4.48 % (27227)Termination phase: Saturation
% 28.41/4.48
% 28.41/4.48 % (27227)Memory used [KB]: 17956
% 28.41/4.48 % (27227)Time elapsed: 1.840 s
% 28.41/4.48 % (27227)Instructions burned: 3781 (million)
% 28.41/4.49 % (27153)Running in auto input_syntax mode. Trying TPTP
% 28.41/4.49 % (27240)lrs+1010_5:1_norm_ineq=on:sas=z3:sos=all:ss=axioms:tha=off:i=1198:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/1198Mi)
% 28.90/4.53 % (27238)Instruction limit reached!
% 28.90/4.53 % (27238)------------------------------
% 28.90/4.53 % (27238)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.90/4.53 % (27238)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.90/4.53 % (27238)Termination reason: Time limit
% 28.90/4.53 % (27238)Termination phase: Saturation
% 28.90/4.53
% 28.90/4.53 % (27238)Memory used [KB]: 2066
% 28.90/4.53 % (27238)Time elapsed: 0.204 s
% 28.90/4.53 % (27238)Instructions burned: 361 (million)
% 28.90/4.54 % (27237)Instruction limit reached!
% 28.90/4.54 % (27237)------------------------------
% 28.90/4.54 % (27237)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.90/4.54 % (27237)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.90/4.54 % (27237)Termination reason: Time limit
% 28.90/4.54 % (27237)Termination phase: Saturation
% 28.90/4.54
% 28.90/4.54 % (27237)Memory used [KB]: 2337
% 28.90/4.54 % (27237)Time elapsed: 0.213 s
% 28.90/4.54 % (27237)Instructions burned: 371 (million)
% 28.90/4.55 % (27153)Running in auto input_syntax mode. Trying TPTP
% 28.90/4.55 % (27241)lrs+11_1:1_avsq=on:avsql=on:avsqr=1,16:norm_ineq=on:nwc=10.0:plsq=on:sas=z3:tha=off:urr=on:i=2501:si=on:rawr=on:rtra=on_0 on theBenchmark for (2959ds/2501Mi)
% 28.90/4.56 % (27236)Instruction limit reached!
% 28.90/4.56 % (27236)------------------------------
% 28.90/4.56 % (27236)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 28.90/4.56 % (27236)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 28.90/4.56 % (27236)Termination reason: Time limit
% 28.90/4.56 % (27236)Termination phase: Saturation
% 28.90/4.56
% 28.90/4.56 % (27236)Memory used [KB]: 3887
% 28.90/4.56 % (27236)Time elapsed: 0.370 s
% 28.90/4.56 % (27236)Instructions burned: 692 (million)
% 29.17/4.59 % (27153)Running in auto input_syntax mode. Trying TPTP
% 29.17/4.59 % (27242)lrs+10_1:1_av=off:fde=none:lwlo=on:nwc=10.0:i=256:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/256Mi)
% 29.17/4.60 % (27153)Running in auto input_syntax mode. Trying TPTP
% 29.17/4.60 % (27243)dis+1011_1:1_bd=preordered:sd=2:sos=all:ss=axioms:i=217:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/217Mi)
% 29.17/4.62 % (27153)Running in auto input_syntax mode. Trying TPTP
% 29.17/4.62 % (27244)ott+11_1:1_aac=none:amm=off:bd=off:fsr=off:sas=z3:sos=all:sp=const_frequency:tha=off:i=1168:si=on:rawr=on:rtra=on_0 on theBenchmark for (2958ds/1168Mi)
% 29.44/4.71 % (27243)Instruction limit reached!
% 29.44/4.71 % (27243)------------------------------
% 29.44/4.71 % (27243)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.44/4.71 % (27243)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.44/4.71 % (27243)Termination reason: Time limit
% 29.44/4.71 % (27243)Termination phase: Saturation
% 29.44/4.71
% 29.44/4.71 % (27243)Memory used [KB]: 2288
% 29.44/4.71 % (27243)Time elapsed: 0.120 s
% 29.44/4.71 % (27243)Instructions burned: 218 (million)
% 29.44/4.73 % (27242)Refutation not found, non-redundant clauses discarded% (27242)------------------------------
% 29.44/4.73 % (27242)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 29.44/4.73 % (27242)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 29.44/4.73 % (27242)Termination reason: Refutation not found, non-redundant clauses discarded
% 29.44/4.73
% 29.44/4.73 % (27242)Memory used [KB]: 2274
% 29.44/4.73 % (27242)Time elapsed: 0.140 s
% 29.44/4.73 % (27242)Instructions burned: 256 (million)
% 29.44/4.73 % (27242)------------------------------
% 29.44/4.73 % (27242)------------------------------
% 29.84/4.77 % (27153)Running in auto input_syntax mode. Trying TPTP
% 29.84/4.77 % (27245)dis+10_1:1_sgt=16:sos=on:spb=goal:ss=axioms:i=1006:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/1006Mi)
% 29.84/4.78 % (27153)Running in auto input_syntax mode. Trying TPTP
% 29.84/4.78 % (27246)dis+1004_1:3_av=off:bs=on:plsq=on:i=4966:si=on:rawr=on:rtra=on_0 on theBenchmark for (2956ds/4966Mi)
% 32.61/5.10 % (27240)Refutation not found, non-redundant clauses discarded% (27240)------------------------------
% 32.61/5.10 % (27240)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 32.61/5.10 % (27240)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 32.61/5.10 % (27240)Termination reason: Refutation not found, non-redundant clauses discarded
% 32.61/5.10
% 32.61/5.10 % (27240)Memory used [KB]: 4563
% 32.61/5.10 % (27240)Time elapsed: 0.611 s
% 32.61/5.10 % (27240)Instructions burned: 1201 (million)
% 32.61/5.10 % (27240)------------------------------
% 32.61/5.10 % (27240)------------------------------
% 33.29/5.16 % (27153)Running in auto input_syntax mode. Trying TPTP
% 33.29/5.16 % (27247)ott+10_18762:894869_awrs=decay:awrsf=8:bsd=on:drc=off:fsr=off:irw=on:newcnf=on:slsq=on:slsqc=1:slsqr=76,61:i=4835:si=on:rawr=on:rtra=on_0 on theBenchmark for (2953ds/4835Mi)
% 33.29/5.18 % (27244)Instruction limit reached!
% 33.29/5.18 % (27244)------------------------------
% 33.29/5.18 % (27244)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 33.29/5.18 % (27244)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 33.29/5.18 % (27244)Termination reason: Time limit
% 33.29/5.18 % (27244)Termination phase: Saturation
% 33.29/5.18
% 33.29/5.18 % (27244)Memory used [KB]: 4316
% 33.29/5.18 % (27244)Time elapsed: 0.561 s
% 33.29/5.18 % (27244)Instructions burned: 1169 (million)
% 33.70/5.24 % (27153)Running in auto input_syntax mode. Trying TPTP
% 33.70/5.24 % (27248)ott+0_1:128_afr=on:amm=sco:anc=none:awrs=converge:awrsf=110:bsd=on:cond=fast:etr=on:fde=unused:flr=on:fsd=on:gve=force:irw=on:norm_ineq=on:sas=z3:sos=all:spb=units:tha=off:thi=strong:to=lpo:uwa=one_side_interpreted:i=3932:si=on:rawr=on:rtra=on_0 on theBenchmark for (2952ds/3932Mi)
% 34.03/5.28 % (27245)Instruction limit reached!
% 34.03/5.28 % (27245)------------------------------
% 34.03/5.28 % (27245)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 34.03/5.28 % (27245)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 34.03/5.28 % (27245)Termination reason: Time limit
% 34.03/5.28 % (27245)Termination phase: Saturation
% 34.03/5.28
% 34.03/5.28 % (27245)Memory used [KB]: 5296
% 34.03/5.28 % (27245)Time elapsed: 0.508 s
% 34.03/5.28 % (27245)Instructions burned: 1007 (million)
% 34.20/5.31 % (27241)First to succeed.
% 34.20/5.33 % (27241)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-27153"
% 34.34/5.33 % (27153)Running in auto input_syntax mode. Trying TPTP
% 34.34/5.33 % (27241)Refutation found. Thanks to Tanya!
% 34.34/5.33 % SZS status Theorem for theBenchmark
% 34.34/5.33 % SZS output start Proof for theBenchmark
% See solution above
% 34.34/5.34 % (27241)------------------------------
% 34.34/5.34 % (27241)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 34.34/5.34 % (27241)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 34.34/5.34 % (27241)Termination reason: Refutation
% 34.34/5.34
% 34.34/5.34 % (27241)Memory used [KB]: 7753
% 34.34/5.34 % (27241)Time elapsed: 0.784 s
% 34.34/5.34 % (27241)Instructions burned: 1657 (million)
% 34.34/5.34 % (27241)------------------------------
% 34.34/5.34 % (27241)------------------------------
% 34.34/5.34 % (27153)Success in time 4.929 s
%------------------------------------------------------------------------------