TSTP Solution File: SWC397+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC397+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Apr 30 16:22:36 EDT 2024
% Result : Theorem 3.70s 0.90s
% Output : Refutation 3.70s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 262
% Syntax : Number of formulae : 2845 ( 84 unt; 0 def)
% Number of atoms : 11550 (2734 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 14883 (6178 ~;7428 |; 804 &)
% ( 171 <=>; 302 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 133 ( 131 usr; 95 prp; 0-2 aty)
% Number of functors : 59 ( 59 usr; 10 con; 0-2 aty)
% Number of variables : 4225 (3869 !; 356 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f12557,plain,
$false,
inference(avatar_sat_refutation,[],[f657,f667,f787,f1058,f1163,f1419,f1423,f1492,f1568,f1572,f1598,f1602,f1649,f1653,f1672,f1676,f1695,f1699,f1942,f1946,f2166,f2169,f2174,f2295,f2359,f2368,f2395,f2422,f2440,f2444,f2793,f2798,f2925,f2988,f3060,f3065,f3188,f3193,f3307,f3312,f3337,f3342,f3480,f3485,f3598,f3614,f3674,f3761,f3832,f3837,f4144,f4149,f4529,f4538,f4564,f4645,f4679,f5751,f5812,f6743,f6747,f6872,f6876,f6955,f6959,f9535,f9543,f9562,f9568,f9580,f9584,f10190,f10194,f10197,f10206,f10561,f10566,f10568,f10577,f11487,f11495,f11647,f11652,f12473,f12491,f12555]) ).
fof(f12555,plain,
( ~ spl72_2
| ~ spl72_23 ),
inference(avatar_contradiction_clause,[],[f12554]) ).
fof(f12554,plain,
( $false
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f12553,f385]) ).
fof(f385,plain,
memberP(sK18,sK24),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
( ( ~ neq(sK21,nil)
| ( sK21 = app(sK23,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),sK23)
& ssList(sK23)
& ssItem(sK22) ) )
& ( nil != sK21
| nil = sK20 )
& ~ memberP(sK19,sK24)
& memberP(sK18,sK24)
& ssItem(sK24)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22,sK23,sK24])],[f100,f257,f256,f255,f254,f253,f252,f251]) ).
fof(f251,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(sK19,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(sK19,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ? [X6] :
( ~ memberP(sK19,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = sK20 )
& ? [X6] :
( ~ memberP(sK19,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ~ neq(sK21,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != sK21
| nil = sK20 )
& ? [X6] :
( ~ memberP(sK19,X6)
& memberP(sK18,X6)
& ssItem(X6) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = sK21
& app(cons(X4,nil),X5) = sK20
& ssList(X5) )
& ssItem(X4) )
=> ( ? [X5] :
( sK21 = app(X5,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),X5)
& ssList(X5) )
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f256,plain,
( ? [X5] :
( sK21 = app(X5,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),X5)
& ssList(X5) )
=> ( sK21 = app(sK23,cons(sK22,nil))
& sK20 = app(cons(sK22,nil),sK23)
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
( ? [X6] :
( ~ memberP(sK19,X6)
& memberP(sK18,X6)
& ssItem(X6) )
=> ( ~ memberP(sK19,sK24)
& memberP(sK18,sK24)
& ssItem(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ~ neq(X3,nil)
| ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& app(cons(X4,nil),X5) = X2
& ssList(X5) )
& ssItem(X4) ) )
& ( nil != X3
| nil = X2 )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| app(cons(X4,nil),X5) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X0,X6) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(X6,cons(X5,nil)) != X3
| app(cons(X5,nil),X6) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( neq(X3,nil)
& ! [X5] :
( ssItem(X5)
=> ! [X6] :
( ssList(X6)
=> ( app(X6,cons(X5,nil)) != X3
| app(cons(X5,nil),X6) != X2 ) ) ) )
| ( nil = X3
& nil != X2 )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f12553,plain,
( ~ memberP(sK18,sK24)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f12548,f384]) ).
fof(f384,plain,
ssItem(sK24),
inference(cnf_transformation,[],[f258]) ).
fof(f12548,plain,
( ~ ssItem(sK24)
| ~ memberP(sK18,sK24)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f12532,f386]) ).
fof(f386,plain,
~ memberP(sK19,sK24),
inference(cnf_transformation,[],[f258]) ).
fof(f12532,plain,
( ! [X0] :
( memberP(sK19,X0)
| ~ ssItem(X0)
| ~ memberP(sK18,X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f12531,f2477]) ).
fof(f2477,plain,
( ! [X0] :
( ~ memberP(sK23,X0)
| memberP(sK19,X0)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2476,f1065]) ).
fof(f1065,plain,
( ssList(sK23)
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f648,f655]) ).
fof(f655,plain,
( neq(sK19,nil)
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f654,plain,
( spl72_2
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f648,plain,
( ~ neq(sK19,nil)
| ssList(sK23) ),
inference(forward_demodulation,[],[f389,f382]) ).
fof(f382,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f258]) ).
fof(f389,plain,
( ~ neq(sK21,nil)
| ssList(sK23) ),
inference(cnf_transformation,[],[f258]) ).
fof(f2476,plain,
( ! [X0] :
( memberP(sK19,X0)
| ~ memberP(sK23,X0)
| ~ ssList(sK23)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2460,f2160]) ).
fof(f2160,plain,
( ssList(cons(sK22,nil))
| ~ spl72_23 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f2159,plain,
( spl72_23
<=> ssList(cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_23])]) ).
fof(f2460,plain,
( ! [X0] :
( memberP(sK19,X0)
| ~ memberP(sK23,X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f454,f1089]) ).
fof(f1089,plain,
( sK19 = app(sK23,cons(sK22,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f1059,f655]) ).
fof(f1059,plain,
( sK19 = app(sK23,cons(sK22,nil))
| ~ neq(sK19,nil) ),
inference(forward_demodulation,[],[f737,f382]) ).
fof(f737,plain,
( ~ neq(sK19,nil)
| sK21 = app(sK23,cons(sK22,nil)) ),
inference(forward_demodulation,[],[f391,f382]) ).
fof(f391,plain,
( ~ neq(sK21,nil)
| sK21 = app(sK23,cons(sK22,nil)) ),
inference(cnf_transformation,[],[f258]) ).
fof(f454,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f12531,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| memberP(sK23,X0)
| ~ ssItem(X0)
| memberP(sK19,X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(duplicate_literal_removal,[],[f12524]) ).
fof(f12524,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| memberP(sK23,X0)
| ~ ssItem(X0)
| memberP(sK19,X0)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f4865,f2521]) ).
fof(f2521,plain,
( ! [X0] :
( ~ memberP(cons(sK22,nil),X0)
| memberP(sK19,X0)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2520,f1065]) ).
fof(f2520,plain,
( ! [X0] :
( memberP(sK19,X0)
| ~ memberP(cons(sK22,nil),X0)
| ~ ssList(sK23)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2502,f2160]) ).
fof(f2502,plain,
( ! [X0] :
( memberP(sK19,X0)
| ~ memberP(cons(sK22,nil),X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f455,f1089]) ).
fof(f455,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f4865,plain,
( ! [X0] :
( memberP(cons(sK22,nil),X0)
| ~ memberP(sK18,X0)
| memberP(sK23,X0)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4864,f2160]) ).
fof(f4864,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| memberP(cons(sK22,nil),X0)
| memberP(sK23,X0)
| ~ ssList(cons(sK22,nil))
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f4834,f1065]) ).
fof(f4834,plain,
( ! [X0] :
( ~ memberP(sK18,X0)
| memberP(cons(sK22,nil),X0)
| memberP(sK23,X0)
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f453,f1149]) ).
fof(f1149,plain,
( sK18 = app(cons(sK22,nil),sK23)
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f1060,f655]) ).
fof(f1060,plain,
( sK18 = app(cons(sK22,nil),sK23)
| ~ neq(sK19,nil) ),
inference(forward_demodulation,[],[f736,f383]) ).
fof(f383,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f258]) ).
fof(f736,plain,
( ~ neq(sK19,nil)
| sK20 = app(cons(sK22,nil),sK23) ),
inference(forward_demodulation,[],[f390,f382]) ).
fof(f390,plain,
( ~ neq(sK21,nil)
| sK20 = app(cons(sK22,nil),sK23) ),
inference(cnf_transformation,[],[f258]) ).
fof(f453,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f277]) ).
fof(f12491,plain,
spl72_93,
inference(avatar_contradiction_clause,[],[f12490]) ).
fof(f12490,plain,
( $false
| spl72_93 ),
inference(subsumption_resolution,[],[f12489,f400]) ).
fof(f400,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f12489,plain,
( ~ ssList(nil)
| spl72_93 ),
inference(subsumption_resolution,[],[f12488,f642]) ).
fof(f642,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f418,f420,f419,f422,f421,f425,f424,f640,f426,f427,f428,f429,f430,f433,f639,f431,f638,f435,f434,f438,f437,f443,f613,f441,f440,f444,f446,f445,f451,f615,f449,f448,f452,f455,f454,f453,f456,f457,f458,f459,f460,f461,f462,f463,f466,f465,f464,f467,f468,f469,f471,f470,f473,f472,f617,f475,f474,f477,f485,f484,f483,f482,f481,f480,f618,f486,f487,f496,f495,f494,f493,f492,f491,f490,f637,f497,f498,f508,f507,f506,f505,f504,f503,f502,f501,f621,f509,f510,f520,f519,f518,f517,f516,f515,f514,f513,f622,f521,f522,f532,f531,f530,f529,f528,f527,f526,f525,f623,f533,f535,f534,f543,f542,f541,f540,f539,f538,f537,f624,f544,f546,f545,f554,f553,f552,f551,f550,f549,f548,f625,f555,f626,f641,f556,f627]) ).
fof(f627,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f559]) ).
fof(f559,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f352,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f556,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f351,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax58) ).
fof(f641,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f418,f420,f419,f422,f421,f425,f424,f640,f426,f427,f428,f429,f430,f433,f639,f431,f638,f435,f434,f438,f437,f443,f613,f441,f440,f444,f446,f445,f451,f615,f449,f448,f452,f455,f454,f453,f456,f457,f458,f459,f460,f461,f462,f463,f466,f465,f464,f467,f468,f469,f471,f470,f473,f472,f617,f475,f474,f477,f485,f484,f483,f482,f481,f480,f618,f486,f487,f496,f495,f494,f493,f492,f491,f490,f637,f497,f498,f508,f507,f506,f505,f504,f503,f502,f501,f621,f509,f510,f520,f519,f518,f517,f516,f515,f514,f513,f622,f521,f522,f532,f531,f530,f529,f528,f527,f526,f525,f623,f533,f535,f534,f543,f542,f541,f540,f539,f538,f537,f624,f544,f546,f545,f554,f553,f552,f551,f550,f549,f548,f625,f555,f626]) ).
fof(f626,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f557]) ).
fof(f557,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f351]) ).
fof(f555,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f175,f249,f248]) ).
fof(f248,plain,
! [X0] :
( sP16(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f249,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f175,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f174]) ).
fof(f174,plain,
! [X0] :
( ( strictorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f12,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> lt(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f625,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP16(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X6,X7) ),
inference(equality_resolution,[],[f547]) ).
fof(f547,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f350,plain,
! [X0] :
( ( sP16(X0)
| ( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0
& ssList(sK63(X0))
& ssList(sK62(X0))
& ssList(sK61(X0))
& ssItem(sK60(X0))
& ssItem(sK59(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62,sK63])],[f344,f349,f348,f347,f346,f345]) ).
fof(f345,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),X2)
& app(app(X3,cons(sK59(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f346,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),X2)
& app(app(X3,cons(sK59(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(X3,cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f347,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(X3,cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f348,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),X4)),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),X5)) = X0
& ssList(X5) )
& ssList(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK59(X0),sK60(X0))
& app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0
& ssList(sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f343]) ).
fof(f343,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f248]) ).
fof(f548,plain,
! [X0] :
( ssItem(sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f549,plain,
! [X0] :
( ssItem(sK60(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f550,plain,
! [X0] :
( ssList(sK61(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f551,plain,
! [X0] :
( ssList(sK62(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f552,plain,
! [X0] :
( ssList(sK63(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f553,plain,
! [X0] :
( sP16(X0)
| app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0 ),
inference(cnf_transformation,[],[f350]) ).
fof(f554,plain,
! [X0] :
( ~ lt(sK59(X0),sK60(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f350]) ).
fof(f545,plain,
! [X0] :
( ~ sP17(X0)
| ~ strictorderedP(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f342,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ strictorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f249]) ).
fof(f546,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f342]) ).
fof(f544,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f173,f246,f245]) ).
fof(f245,plain,
! [X0] :
( sP14(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f246,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f173,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f172]) ).
fof(f172,plain,
! [X0] :
( ( totalorderedP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderedP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> leq(X1,X2) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f624,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP14(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X6,X7) ),
inference(equality_resolution,[],[f536]) ).
fof(f536,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f341,plain,
! [X0] :
( ( sP14(X0)
| ( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0
& ssList(sK58(X0))
& ssList(sK57(X0))
& ssList(sK56(X0))
& ssItem(sK55(X0))
& ssItem(sK54(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56,sK57,sK58])],[f335,f340,f339,f338,f337,f336]) ).
fof(f336,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),X2)
& app(app(X3,cons(sK54(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f337,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),X2)
& app(app(X3,cons(sK54(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(X3,cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f338,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(X3,cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f339,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),X4)),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),X5)) = X0
& ssList(X5) )
& ssList(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK54(X0),sK55(X0))
& app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0
& ssList(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f334]) ).
fof(f334,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f245]) ).
fof(f537,plain,
! [X0] :
( ssItem(sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f538,plain,
! [X0] :
( ssItem(sK55(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f539,plain,
! [X0] :
( ssList(sK56(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f540,plain,
! [X0] :
( ssList(sK57(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f541,plain,
! [X0] :
( ssList(sK58(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f542,plain,
! [X0] :
( sP14(X0)
| app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0 ),
inference(cnf_transformation,[],[f341]) ).
fof(f543,plain,
! [X0] :
( ~ leq(sK54(X0),sK55(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f341]) ).
fof(f534,plain,
! [X0] :
( ~ sP15(X0)
| ~ totalorderedP(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f333,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ totalorderedP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f246]) ).
fof(f535,plain,
! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f333]) ).
fof(f533,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f171,f243,f242]) ).
fof(f242,plain,
! [X0] :
( sP12(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f243,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f171,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f170]) ).
fof(f170,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f8,axiom,
! [X0] :
( ssList(X0)
=> ( cyclefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ~ ( leq(X2,X1)
& leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f623,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP12(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ leq(X7,X6) ),
inference(equality_resolution,[],[f524]) ).
fof(f524,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f332,plain,
! [X0] :
( ( sP12(X0)
| ( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0
& ssList(sK53(X0))
& ssList(sK52(X0))
& ssList(sK51(X0))
& ssItem(sK50(X0))
& ssItem(sK49(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52,sK53])],[f326,f331,f330,f329,f328,f327]) ).
fof(f327,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK49(X0))
& leq(sK49(X0),X2)
& app(app(X3,cons(sK49(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f328,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK49(X0))
& leq(sK49(X0),X2)
& app(app(X3,cons(sK49(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(X3,cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f329,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(X3,cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f330,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),X4)),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),X5)) = X0
& ssList(X5) )
& ssList(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
! [X0] :
( ? [X5] :
( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK50(X0),sK49(X0))
& leq(sK49(X0),sK50(X0))
& app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0
& ssList(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f325]) ).
fof(f325,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f242]) ).
fof(f525,plain,
! [X0] :
( ssItem(sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f526,plain,
! [X0] :
( ssItem(sK50(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f527,plain,
! [X0] :
( ssList(sK51(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f528,plain,
! [X0] :
( ssList(sK52(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f529,plain,
! [X0] :
( ssList(sK53(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f530,plain,
! [X0] :
( sP12(X0)
| app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0 ),
inference(cnf_transformation,[],[f332]) ).
fof(f531,plain,
! [X0] :
( leq(sK49(X0),sK50(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f532,plain,
! [X0] :
( leq(sK50(X0),sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f332]) ).
fof(f522,plain,
! [X0] :
( ~ sP13(X0)
| ~ cyclefreeP(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f324]) ).
fof(f324,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f243]) ).
fof(f521,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f169,f240,f239]) ).
fof(f239,plain,
! [X0] :
( sP10(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f240,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f169,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f168]) ).
fof(f168,plain,
! [X0] :
( ( strictorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f10,axiom,
! [X0] :
( ssList(X0)
=> ( strictorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( lt(X2,X1)
| lt(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f622,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP10(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| lt(X7,X6) ),
inference(equality_resolution,[],[f512]) ).
fof(f512,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f323,plain,
! [X0] :
( ( sP10(X0)
| ( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0
& ssList(sK48(X0))
& ssList(sK47(X0))
& ssList(sK46(X0))
& ssItem(sK45(X0))
& ssItem(sK44(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48])],[f317,f322,f321,f320,f319,f318]) ).
fof(f318,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK44(X0))
& ~ lt(sK44(X0),X2)
& app(app(X3,cons(sK44(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f319,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK44(X0))
& ~ lt(sK44(X0),X2)
& app(app(X3,cons(sK44(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(X3,cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f320,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(X3,cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f321,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),X4)),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),X5)) = X0
& ssList(X5) )
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK45(X0),sK44(X0))
& ~ lt(sK44(X0),sK45(X0))
& app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f316]) ).
fof(f316,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f239]) ).
fof(f513,plain,
! [X0] :
( ssItem(sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f514,plain,
! [X0] :
( ssItem(sK45(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f515,plain,
! [X0] :
( ssList(sK46(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f516,plain,
! [X0] :
( ssList(sK47(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f517,plain,
! [X0] :
( ssList(sK48(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f518,plain,
! [X0] :
( sP10(X0)
| app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0 ),
inference(cnf_transformation,[],[f323]) ).
fof(f519,plain,
! [X0] :
( ~ lt(sK44(X0),sK45(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f520,plain,
! [X0] :
( ~ lt(sK45(X0),sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f323]) ).
fof(f510,plain,
! [X0] :
( ~ sP11(X0)
| ~ strictorderP(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ strictorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f240]) ).
fof(f509,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f167,f237,f236]) ).
fof(f236,plain,
! [X0] :
( sP8(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f237,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f167,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f166]) ).
fof(f166,plain,
! [X0] :
( ( totalorderP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f9]) ).
fof(f9,axiom,
! [X0] :
( ssList(X0)
=> ( totalorderP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> ( leq(X2,X1)
| leq(X1,X2) ) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f621,plain,
! [X10,X8,X6,X9,X7] :
( ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10)))
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| leq(X7,X6) ),
inference(equality_resolution,[],[f500]) ).
fof(f500,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f314,plain,
! [X0] :
( ( sP8(X0)
| ( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssList(sK41(X0))
& ssItem(sK40(X0))
& ssItem(sK39(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43])],[f308,f313,f312,f311,f310,f309]) ).
fof(f309,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK39(X0))
& ~ leq(sK39(X0),X2)
& app(app(X3,cons(sK39(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f310,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK39(X0))
& ~ leq(sK39(X0),X2)
& app(app(X3,cons(sK39(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(X3,cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f311,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(X3,cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),X4)),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),X5)) = X0
& ssList(X5) )
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK40(X0),sK39(X0))
& ~ leq(sK39(X0),sK40(X0))
& app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f236]) ).
fof(f501,plain,
! [X0] :
( ssItem(sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f502,plain,
! [X0] :
( ssItem(sK40(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f503,plain,
! [X0] :
( ssList(sK41(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f504,plain,
! [X0] :
( ssList(sK42(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f505,plain,
! [X0] :
( ssList(sK43(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f506,plain,
! [X0] :
( sP8(X0)
| app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0 ),
inference(cnf_transformation,[],[f314]) ).
fof(f507,plain,
! [X0] :
( ~ leq(sK39(X0),sK40(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f508,plain,
! [X0] :
( ~ leq(sK40(X0),sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f314]) ).
fof(f498,plain,
! [X0] :
( ~ sP9(X0)
| ~ totalorderP(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f306]) ).
fof(f306,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ totalorderP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f237]) ).
fof(f497,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f165,f234,f233]) ).
fof(f233,plain,
! [X0] :
( sP6(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f234,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f165,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f164]) ).
fof(f164,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f13]) ).
fof(f13,axiom,
! [X0] :
( ssList(X0)
=> ( duplicatefreeP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
=> X1 != X2 ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f637,plain,
! [X10,X8,X9,X7] :
( ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10) ),
inference(duplicate_literal_removal,[],[f620]) ).
fof(f620,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f619]) ).
fof(f619,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(X0) ),
inference(equality_resolution,[],[f489]) ).
fof(f489,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f305,plain,
! [X0] :
( ( sP6(X0)
| ( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0
& ssList(sK38(X0))
& ssList(sK37(X0))
& ssList(sK36(X0))
& ssItem(sK35(X0))
& ssItem(sK34(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38])],[f299,f304,f303,f302,f301,f300]) ).
fof(f300,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = X2
& app(app(X3,cons(sK34(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f301,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = X2
& app(app(X3,cons(sK34(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(X3,cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f302,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(X3,cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),X4)),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),X5)) = X0
& ssList(X5) )
& ssList(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ? [X5] :
( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),X5)) = X0
& ssList(X5) )
=> ( sK34(X0) = sK35(X0)
& app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f298]) ).
fof(f298,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f233]) ).
fof(f490,plain,
! [X0] :
( ssItem(sK34(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f491,plain,
! [X0] :
( ssItem(sK35(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f492,plain,
! [X0] :
( ssList(sK36(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f493,plain,
! [X0] :
( ssList(sK37(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f494,plain,
! [X0] :
( ssList(sK38(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f495,plain,
! [X0] :
( sP6(X0)
| app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0 ),
inference(cnf_transformation,[],[f305]) ).
fof(f496,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = sK35(X0) ),
inference(cnf_transformation,[],[f305]) ).
fof(f487,plain,
! [X0] :
( ~ sP7(X0)
| ~ duplicatefreeP(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f297]) ).
fof(f297,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f234]) ).
fof(f486,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f163,f231,f230]) ).
fof(f230,plain,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f231,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f163,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(flattening,[],[f162]) ).
fof(f162,plain,
! [X0] :
( ( equalelemsP(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f14,axiom,
! [X0] :
( ssList(X0)
=> ( equalelemsP(X0)
<=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssList(X3)
=> ! [X4] :
( ssList(X4)
=> ( app(X3,cons(X1,cons(X2,X4))) = X0
=> X1 = X2 ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f618,plain,
! [X8,X6,X7,X5] :
( ~ sP4(app(X7,cons(X5,cons(X6,X8))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| X5 = X6 ),
inference(equality_resolution,[],[f479]) ).
fof(f479,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f296,plain,
! [X0] :
( ( sP4(X0)
| ( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0
& ssList(sK33(X0))
& ssList(sK32(X0))
& ssItem(sK31(X0))
& ssItem(sK30(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f291,f295,f294,f293,f292]) ).
fof(f292,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK30(X0) != X2
& app(X3,cons(sK30(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f293,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK30(X0) != X2
& app(X3,cons(sK30(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK30(X0) != sK31(X0)
& app(X3,cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f294,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK30(X0) != sK31(X0)
& app(X3,cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
& ssList(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0] :
( ? [X4] :
( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),X4))) = X0
& ssList(X4) )
=> ( sK30(X0) != sK31(X0)
& app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0
& ssList(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f290]) ).
fof(f290,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f230]) ).
fof(f480,plain,
! [X0] :
( ssItem(sK30(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f481,plain,
! [X0] :
( ssItem(sK31(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f482,plain,
! [X0] :
( ssList(sK32(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f483,plain,
! [X0] :
( ssList(sK33(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f484,plain,
! [X0] :
( sP4(X0)
| app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0 ),
inference(cnf_transformation,[],[f296]) ).
fof(f485,plain,
! [X0] :
( sK30(X0) != sK31(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f296]) ).
fof(f477,plain,
! [X0] :
( ~ sP5(X0)
| ~ equalelemsP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ equalelemsP(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f231]) ).
fof(f474,plain,
! [X0] :
( ssItem(sK29(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f288,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK29(X0),nil) = X0
& ssItem(sK29(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f286,f287]) ).
fof(f287,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK29(X0),nil) = X0
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f286,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f161]) ).
fof(f161,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f475,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK29(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f617,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f476]) ).
fof(f476,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f288]) ).
fof(f472,plain,
! [X0] :
( ssList(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( tl(X0) = sK28(X0)
& ssList(sK28(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f160,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK28(X0)
& ssList(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f160,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f159]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax76) ).
fof(f473,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK28(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f470,plain,
! [X0] :
( ssItem(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,plain,
! [X0] :
( ( hd(X0) = sK27(X0)
& ssItem(sK27(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f158,f281]) ).
fof(f281,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK27(X0)
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f157]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f75]) ).
fof(f75,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( hd(X0) = X1
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f471,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK27(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f469,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f156]) ).
fof(f156,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f468,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f154]) ).
fof(f154,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f24]) ).
fof(f24,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssList(tl(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f467,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f152]) ).
fof(f152,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f464,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( cons(sK26(X0),sK25(X0)) = X0
& ssItem(sK26(X0))
& ssList(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25,sK26])],[f150,f279,f278]) ).
fof(f278,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK25(X0)) = X0
& ssItem(X2) )
& ssList(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f279,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK25(X0)) = X0
& ssItem(X2) )
=> ( cons(sK26(X0),sK25(X0)) = X0
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f150,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f149]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f20]) ).
fof(f20,axiom,
! [X0] :
( ssList(X0)
=> ( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f465,plain,
! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f466,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK26(X0),sK25(X0)) = X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f463,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f148]) ).
fof(f148,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f462,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f461,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f460,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f459,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f458,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f457,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f456,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f452,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f139,f228,f227]) ).
fof(f227,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f228,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f139,plain,
! [X0] :
( ! [X1] :
( ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f70]) ).
fof(f70,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( strictorderedP(cons(X0,X1))
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f448,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f274]) ).
fof(f274,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f273]) ).
fof(f273,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f227]) ).
fof(f449,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f275]) ).
fof(f615,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f450]) ).
fof(f450,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f451,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP2(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f275]) ).
fof(f445,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f272,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f228]) ).
fof(f446,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f272]) ).
fof(f444,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f225,f224]) ).
fof(f224,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f225,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f138,plain,
! [X0] :
( ! [X1] :
( ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f67]) ).
fof(f67,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ( totalorderedP(cons(X0,X1))
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(f440,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f224]) ).
fof(f441,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f613,plain,
! [X1] : sP0(nil,X1),
inference(equality_resolution,[],[f442]) ).
fof(f442,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f443,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP0(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f437,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f225]) ).
fof(f438,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f434,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f266]) ).
fof(f266,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( ( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1 )
& ( ( frontsegP(X2,X3)
& X0 = X1 )
| ~ frontsegP(cons(X0,X2),cons(X1,X3)) ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f137]) ).
fof(f137,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) )
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f44]) ).
fof(f44,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( frontsegP(cons(X0,X2),cons(X1,X3))
<=> ( frontsegP(X2,X3)
& X0 = X1 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f435,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f638,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f612]) ).
fof(f612,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f436]) ).
fof(f436,plain,
! [X2,X3,X0,X1] :
( frontsegP(cons(X0,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| X0 != X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f431,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f639,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f611]) ).
fof(f611,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f432]) ).
fof(f432,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f433,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f430,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f135]) ).
fof(f135,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f34]) ).
fof(f34,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& lt(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(f429,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f133]) ).
fof(f133,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f91]) ).
fof(f91,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( lt(X1,X2)
& leq(X0,X1) )
=> lt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(f428,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f131]) ).
fof(f131,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f30]) ).
fof(f30,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( leq(X1,X2)
& leq(X0,X1) )
=> leq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| geq(X0,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f129]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f88]) ).
fof(f88,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( geq(X1,X2)
& geq(X0,X1) )
=> geq(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax88) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f127]) ).
fof(f127,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f95]) ).
fof(f95,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssItem(X2)
=> ( ( gt(X1,X2)
& gt(X0,X1) )
=> gt(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(f640,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f610]) ).
fof(f610,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f423]) ).
fof(f423,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f262]) ).
fof(f262,plain,
! [X0] :
( ! [X1] :
( ( ( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1 )
& ( ( leq(X0,X1)
& X0 != X1 )
| ~ lt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f125]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f93]) ).
fof(f93,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
<=> ( leq(X0,X1)
& X0 != X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f424,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f425,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f421,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,plain,
! [X0] :
( ! [X1] :
( ( ( geq(X0,X1)
| ~ leq(X1,X0) )
& ( leq(X1,X0)
| ~ geq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f124]) ).
fof(f124,plain,
! [X0] :
( ! [X1] :
( ( geq(X0,X1)
<=> leq(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f32,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( geq(X0,X1)
<=> leq(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax32) ).
fof(f422,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f419,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f260,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f123]) ).
fof(f123,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
fof(f420,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f260]) ).
fof(f418,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f416,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f29]) ).
fof(f29,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( leq(X1,X0)
& leq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f415,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f119]) ).
fof(f119,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f87]) ).
fof(f87,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( ( geq(X1,X0)
& geq(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax87) ).
fof(f414,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f117]) ).
fof(f117,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f33]) ).
fof(f33,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( lt(X0,X1)
=> ~ lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f413,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f115]) ).
fof(f115,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f92]) ).
fof(f92,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( leq(X0,X1)
=> ( lt(X0,X1)
| X0 = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax92) ).
fof(f412,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f113]) ).
fof(f113,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f94]) ).
fof(f94,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
=> ~ gt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax94) ).
fof(f411,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f111]) ).
fof(f111,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f410,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f68]) ).
fof(f68,axiom,
! [X0] :
( ssItem(X0)
=> strictorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f409,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
fof(f408,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
fof(f407,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f59]) ).
fof(f59,axiom,
! [X0] :
( ssItem(X0)
=> cyclefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f406,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
fof(f405,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f404,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f403,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax89) ).
fof(f402,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f401,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f399,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f398,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f397,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f396,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f395,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f394,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f393,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f392,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f378,plain,
ssList(sK18),
inference(cnf_transformation,[],[f258]) ).
fof(f379,plain,
ssList(sK19),
inference(cnf_transformation,[],[f258]) ).
fof(f380,plain,
ssList(sK20),
inference(cnf_transformation,[],[f258]) ).
fof(f381,plain,
ssList(sK21),
inference(cnf_transformation,[],[f258]) ).
fof(f387,plain,
( nil != sK21
| nil = sK20 ),
inference(cnf_transformation,[],[f258]) ).
fof(f388,plain,
( ~ neq(sK21,nil)
| ssItem(sK22) ),
inference(cnf_transformation,[],[f258]) ).
fof(f12488,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| spl72_93 ),
inference(duplicate_literal_removal,[],[f12487]) ).
fof(f12487,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl72_93 ),
inference(resolution,[],[f12468,f581]) ).
fof(f581,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f361,f362]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f361,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f360]) ).
fof(f360,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f200]) ).
fof(f200,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f12468,plain,
( ~ ssList(sK66(nil,nil))
| spl72_93 ),
inference(avatar_component_clause,[],[f12466]) ).
fof(f12466,plain,
( spl72_93
<=> ssList(sK66(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_93])]) ).
fof(f12473,plain,
( ~ spl72_93
| spl72_94
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(avatar_split_clause,[],[f11580,f1935,f1642,f1561,f660,f12470,f12466]) ).
fof(f12470,plain,
( spl72_94
<=> nil = sK66(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_94])]) ).
fof(f660,plain,
( spl72_3
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).
fof(f1561,plain,
( spl72_11
<=> ssItem(sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f1642,plain,
( spl72_15
<=> ssItem(hd(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f1935,plain,
( spl72_21
<=> ssList(sK25(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f11580,plain,
( nil = sK66(nil,nil)
| ~ ssList(sK66(nil,nil))
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(global_subsumption,[],[f11579,f391,f390,f389,f388,f387,f425,f640,f626,f627,f628,f631,f633,f636,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f473,f881,f852,f854,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1451,f815,f1431,f855,f1428,f1339,f1425,f591,f592,f413,f1632,f1628,f1636,f1638,f1640,f415,f1710,f416,f1727,f1736,f567,f1796,f1797,f1798,f1799,f1834,f1835,f1805,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f576,f1733,f577,f578,f2110,f2152,f2231,f2340,f433,f454,f455,f573,f2556,f2558,f2559,f2560,f2598,f2599,f2567,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2595,f2596,f2597,f582,f2652,f589,f2739,f598,f2848,f2849,f2857,f2899,f2900,f2859,f2905,f2906,f599,f2954,f2955,f2966,f3032,f3033,f2968,f3038,f3039,f426,f3051,f427,f3094,f428,f3132,f3137,f3139,f429,f3221,f3223,f430,f3264,f3266,f484,f2655,f3414,f3415,f3416,f3417,f2740,f3429,f3430,f3431,f3432,f602,f603,f3540,f3541,f3545,f3546,f604,f3648,f3649,f3651,f3659,f574,f3766,f3768,f3769,f3770,f3772,f3773,f3816,f3817,f3777,f3781,f3782,f3783,f3784,f3785,f3786,f3787,f3788,f3789,f3790,f3791,f3792,f3793,f3794,f3795,f3796,f3797,f3798,f3799,f3800,f3801,f3802,f3803,f3804,f3809,f3810,f3811,f600,f4001,f4061,f4063,f4084,f4094,f4097,f601,f4421,f4437,f4439,f4470,f4474,f4509,f638,f4590,f4592,f4594,f431,f3978,f3980,f4011,f4014,f453,f4349,f4351,f4382,f594,f4924,f4926,f4927,f4928,f4930,f4931,f4976,f4977,f4935,f4939,f4940,f4941,f4942,f4943,f4944,f4945,f4946,f4947,f4948,f4949,f4950,f4951,f4952,f4953,f4954,f4955,f4956,f4957,f4958,f4959,f4960,f4961,f4962,f4968,f4969,f4970,f4386,f597,f5087,f5089,f5090,f5091,f5094,f5095,f5140,f5141,f5099,f5103,f5104,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5132,f5133,f5134,f434,f435,f495,f506,f518,f530,f542,f5690,f553,f5752,f570,f5846,f5847,f5848,f5849,f586,f5899,f5900,f5896,f595,f596,f605,f6261,f6260,f6259,f6268,f6276,f6278,f6302,f6303,f6319,f6323,f6370,f637,f6394,f6395,f6396,f6397,f6398,f6399,f6400,f6401,f6402,f6403,f6404,f6405,f6406,f6407,f6408,f6409,f6410,f1800,f6526,f6532,f6536,f6537,f6538,f6539,f6540,f6541,f6542,f6543,f6544,f6545,f6546,f6547,f6548,f6549,f6550,f6551,f618,f6639,f6640,f6641,f6642,f6643,f6644,f6645,f6646,f6647,f6648,f6649,f6650,f6651,f6652,f6531,f6702,f6718,f6719,f6720,f6724,f6726,f6727,f6728,f6729,f6730,f6731,f6732,f6733,f6734,f6721,f629,f6799,f6552,f6831,f6847,f6848,f6849,f6853,f6855,f6856,f6857,f6858,f6859,f6860,f6861,f6862,f6863,f6850,f6553,f6914,f6930,f6931,f6932,f6936,f6938,f6939,f6940,f6941,f6942,f6943,f6944,f6945,f6946,f6933,f632,f7033,f7032,f7031,f7123,f7141,f7204,f575,f7442,f7458,f7459,f7551,f7567,f7568,f624,f7749,f7750,f7751,f7752,f7753,f7754,f7755,f7756,f7757,f7758,f7759,f7760,f7761,f7762,f7763,f7764,f625,f8236,f8237,f8238,f8239,f8240,f8241,f8242,f8243,f8244,f8245,f8246,f8247,f8248,f8249,f8250,f8251,f621,f8480,f8481,f8482,f8483,f8484,f8485,f8486,f8487,f8488,f8489,f8490,f8491,f8492,f8493,f8494,f8495,f622,f8709,f8710,f8711,f8712,f8713,f8714,f8715,f8716,f8717,f8718,f8719,f8720,f8721,f8722,f8723,f8724,f623,f8938,f8939,f8940,f8941,f8942,f8943,f8944,f8945,f8946,f8947,f8948,f8949,f8950,f8951,f8952,f8953,f8958,f1801,f9163,f9169,f9173,f9174,f9175,f9176,f9177,f9178,f9179,f9180,f9181,f9182,f9183,f9184,f9185,f9186,f9187,f9188,f5857,f9608,f9609,f9610,f9611,f9612,f9613,f9592,f9593,f9594,f9598,f9599,f9600,f9601,f9602,f9603,f9604,f9614,f9606,f9607,f9168,f9189,f2651,f9860,f9872,f9875,f9884,f9888,f9889,f9890,f9891,f9892,f9893,f9894,f9895,f9896,f9897,f9898,f9899,f9900,f9901,f9902,f9903,f9904,f9905,f9906,f9907,f9908,f9909,f9910,f9911,f9917,f9918,f9919,f9190,f2656,f10054,f10067,f10070,f10079,f10083,f10084,f10085,f10086,f10087,f10088,f10089,f10090,f10091,f10092,f10093,f10094,f10095,f10096,f10097,f10098,f10099,f10100,f10101,f10102,f10103,f10104,f10105,f10106,f10112,f10113,f10114,f2737,f10279,f10292,f10295,f10304,f10308,f10309,f10310,f10311,f10312,f10313,f10314,f10315,f10316,f10317,f10318,f10319,f10320,f10321,f10322,f10323,f10324,f10325,f10326,f10327,f10328,f10329,f10330,f10331,f10338,f10339,f10340,f2738,f10436,f10450,f10453,f10462,f10466,f10467,f10468,f10469,f10470,f10471,f10472,f10473,f10474,f10475,f10476,f10477,f10478,f10479,f10480,f10481,f10482,f10483,f10484,f10485,f10486,f10487,f10488,f10489,f10496,f10497,f10498,f2562,f10721,f10666,f10669,f10678,f10682,f10683,f10684,f10685,f10686,f10687,f10688,f10689,f10690,f10691,f10692,f10693,f10694,f10695,f10696,f10697,f10698,f10699,f10700,f10701,f10702,f10703,f10704,f10705,f10712,f10713,f10714,f2563,f10908,f10853,f10856,f10865,f10869,f10870,f10871,f10872,f10873,f10874,f10875,f10876,f10877,f10878,f10879,f10880,f10881,f10882,f10883,f10884,f10885,f10886,f10887,f10888,f10889,f10890,f10891,f10892,f10899,f10900,f10901]) ).
fof(f10901,plain,
! [X0,X1] :
( hd(sK69(X0,X1)) = hd(app(sK69(X0,X1),sK19))
| nil = sK69(X0,X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f588]) ).
fof(f10900,plain,
! [X0,X1] :
( hd(sK68(X0,X1)) = hd(app(sK68(X0,X1),sK19))
| nil = sK68(X0,X1)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f585]) ).
fof(f10899,plain,
! [X0,X1] :
( hd(sK67(X0,X1)) = hd(app(sK67(X0,X1),sK19))
| nil = sK67(X0,X1)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f584]) ).
fof(f10892,plain,
! [X0,X1] :
( hd(sK66(X0,X1)) = hd(app(sK66(X0,X1),sK19))
| nil = sK66(X0,X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f581]) ).
fof(f10891,plain,
! [X0,X1] :
( hd(sK65(X0,X1)) = hd(app(sK65(X0,X1),sK19))
| nil = sK65(X0,X1)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f569]) ).
fof(f10890,plain,
! [X0,X1] :
( hd(sK64(X0,X1)) = hd(app(sK64(X0,X1),sK19))
| nil = sK64(X0,X1)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f568]) ).
fof(f10889,plain,
! [X0] :
( hd(sK63(X0)) = hd(app(sK63(X0),sK19))
| nil = sK63(X0)
| sP16(X0) ),
inference(resolution,[],[f2563,f552]) ).
fof(f10888,plain,
! [X0] :
( hd(sK62(X0)) = hd(app(sK62(X0),sK19))
| nil = sK62(X0)
| sP16(X0) ),
inference(resolution,[],[f2563,f551]) ).
fof(f10887,plain,
! [X0] :
( hd(sK61(X0)) = hd(app(sK61(X0),sK19))
| nil = sK61(X0)
| sP16(X0) ),
inference(resolution,[],[f2563,f550]) ).
fof(f10886,plain,
! [X0] :
( hd(sK58(X0)) = hd(app(sK58(X0),sK19))
| nil = sK58(X0)
| sP14(X0) ),
inference(resolution,[],[f2563,f541]) ).
fof(f10885,plain,
! [X0] :
( hd(sK57(X0)) = hd(app(sK57(X0),sK19))
| nil = sK57(X0)
| sP14(X0) ),
inference(resolution,[],[f2563,f540]) ).
fof(f10884,plain,
! [X0] :
( hd(sK56(X0)) = hd(app(sK56(X0),sK19))
| nil = sK56(X0)
| sP14(X0) ),
inference(resolution,[],[f2563,f539]) ).
fof(f10883,plain,
! [X0] :
( hd(sK53(X0)) = hd(app(sK53(X0),sK19))
| nil = sK53(X0)
| sP12(X0) ),
inference(resolution,[],[f2563,f529]) ).
fof(f10882,plain,
! [X0] :
( hd(sK52(X0)) = hd(app(sK52(X0),sK19))
| nil = sK52(X0)
| sP12(X0) ),
inference(resolution,[],[f2563,f528]) ).
fof(f10881,plain,
! [X0] :
( hd(sK51(X0)) = hd(app(sK51(X0),sK19))
| nil = sK51(X0)
| sP12(X0) ),
inference(resolution,[],[f2563,f527]) ).
fof(f10880,plain,
! [X0] :
( hd(sK48(X0)) = hd(app(sK48(X0),sK19))
| nil = sK48(X0)
| sP10(X0) ),
inference(resolution,[],[f2563,f517]) ).
fof(f10879,plain,
! [X0] :
( hd(sK47(X0)) = hd(app(sK47(X0),sK19))
| nil = sK47(X0)
| sP10(X0) ),
inference(resolution,[],[f2563,f516]) ).
fof(f10878,plain,
! [X0] :
( hd(sK46(X0)) = hd(app(sK46(X0),sK19))
| nil = sK46(X0)
| sP10(X0) ),
inference(resolution,[],[f2563,f515]) ).
fof(f10877,plain,
! [X0] :
( hd(sK43(X0)) = hd(app(sK43(X0),sK19))
| nil = sK43(X0)
| sP8(X0) ),
inference(resolution,[],[f2563,f505]) ).
fof(f10876,plain,
! [X0] :
( hd(sK42(X0)) = hd(app(sK42(X0),sK19))
| nil = sK42(X0)
| sP8(X0) ),
inference(resolution,[],[f2563,f504]) ).
fof(f10875,plain,
! [X0] :
( hd(sK41(X0)) = hd(app(sK41(X0),sK19))
| nil = sK41(X0)
| sP8(X0) ),
inference(resolution,[],[f2563,f503]) ).
fof(f10874,plain,
! [X0] :
( hd(sK38(X0)) = hd(app(sK38(X0),sK19))
| nil = sK38(X0)
| sP6(X0) ),
inference(resolution,[],[f2563,f494]) ).
fof(f10873,plain,
! [X0] :
( hd(sK37(X0)) = hd(app(sK37(X0),sK19))
| nil = sK37(X0)
| sP6(X0) ),
inference(resolution,[],[f2563,f493]) ).
fof(f10872,plain,
! [X0] :
( hd(sK36(X0)) = hd(app(sK36(X0),sK19))
| nil = sK36(X0)
| sP6(X0) ),
inference(resolution,[],[f2563,f492]) ).
fof(f10871,plain,
! [X0] :
( hd(sK33(X0)) = hd(app(sK33(X0),sK19))
| nil = sK33(X0)
| sP4(X0) ),
inference(resolution,[],[f2563,f483]) ).
fof(f10870,plain,
! [X0] :
( hd(sK32(X0)) = hd(app(sK32(X0),sK19))
| nil = sK32(X0)
| sP4(X0) ),
inference(resolution,[],[f2563,f482]) ).
fof(f10869,plain,
! [X0] :
( hd(sK28(X0)) = hd(app(sK28(X0),sK19))
| nil = sK28(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f472]) ).
fof(f10865,plain,
! [X0] :
( hd(sK25(X0)) = hd(app(sK25(X0),sK19))
| nil = sK25(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f464]) ).
fof(f10856,plain,
! [X0] :
( hd(tl(X0)) = hd(app(tl(X0),sK19))
| nil = tl(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f468]) ).
fof(f10853,plain,
! [X0,X1] :
( hd(app(X0,X1)) = hd(app(app(X0,X1),sK19))
| nil = app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2563,f572]) ).
fof(f10908,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f10838,f563]) ).
fof(f10838,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK19))
| nil = cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2563,f562]) ).
fof(f2563,plain,
! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK19))
| nil = X0 ),
inference(resolution,[],[f573,f379]) ).
fof(f10714,plain,
! [X0,X1] :
( hd(sK69(X0,X1)) = hd(app(sK69(X0,X1),sK18))
| nil = sK69(X0,X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f588]) ).
fof(f10713,plain,
! [X0,X1] :
( hd(sK68(X0,X1)) = hd(app(sK68(X0,X1),sK18))
| nil = sK68(X0,X1)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f585]) ).
fof(f10712,plain,
! [X0,X1] :
( hd(sK67(X0,X1)) = hd(app(sK67(X0,X1),sK18))
| nil = sK67(X0,X1)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f584]) ).
fof(f10705,plain,
! [X0,X1] :
( hd(sK66(X0,X1)) = hd(app(sK66(X0,X1),sK18))
| nil = sK66(X0,X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f581]) ).
fof(f10704,plain,
! [X0,X1] :
( hd(sK65(X0,X1)) = hd(app(sK65(X0,X1),sK18))
| nil = sK65(X0,X1)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f569]) ).
fof(f10703,plain,
! [X0,X1] :
( hd(sK64(X0,X1)) = hd(app(sK64(X0,X1),sK18))
| nil = sK64(X0,X1)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f568]) ).
fof(f10702,plain,
! [X0] :
( hd(sK63(X0)) = hd(app(sK63(X0),sK18))
| nil = sK63(X0)
| sP16(X0) ),
inference(resolution,[],[f2562,f552]) ).
fof(f10701,plain,
! [X0] :
( hd(sK62(X0)) = hd(app(sK62(X0),sK18))
| nil = sK62(X0)
| sP16(X0) ),
inference(resolution,[],[f2562,f551]) ).
fof(f10700,plain,
! [X0] :
( hd(sK61(X0)) = hd(app(sK61(X0),sK18))
| nil = sK61(X0)
| sP16(X0) ),
inference(resolution,[],[f2562,f550]) ).
fof(f10699,plain,
! [X0] :
( hd(sK58(X0)) = hd(app(sK58(X0),sK18))
| nil = sK58(X0)
| sP14(X0) ),
inference(resolution,[],[f2562,f541]) ).
fof(f10698,plain,
! [X0] :
( hd(sK57(X0)) = hd(app(sK57(X0),sK18))
| nil = sK57(X0)
| sP14(X0) ),
inference(resolution,[],[f2562,f540]) ).
fof(f10697,plain,
! [X0] :
( hd(sK56(X0)) = hd(app(sK56(X0),sK18))
| nil = sK56(X0)
| sP14(X0) ),
inference(resolution,[],[f2562,f539]) ).
fof(f10696,plain,
! [X0] :
( hd(sK53(X0)) = hd(app(sK53(X0),sK18))
| nil = sK53(X0)
| sP12(X0) ),
inference(resolution,[],[f2562,f529]) ).
fof(f10695,plain,
! [X0] :
( hd(sK52(X0)) = hd(app(sK52(X0),sK18))
| nil = sK52(X0)
| sP12(X0) ),
inference(resolution,[],[f2562,f528]) ).
fof(f10694,plain,
! [X0] :
( hd(sK51(X0)) = hd(app(sK51(X0),sK18))
| nil = sK51(X0)
| sP12(X0) ),
inference(resolution,[],[f2562,f527]) ).
fof(f10693,plain,
! [X0] :
( hd(sK48(X0)) = hd(app(sK48(X0),sK18))
| nil = sK48(X0)
| sP10(X0) ),
inference(resolution,[],[f2562,f517]) ).
fof(f10692,plain,
! [X0] :
( hd(sK47(X0)) = hd(app(sK47(X0),sK18))
| nil = sK47(X0)
| sP10(X0) ),
inference(resolution,[],[f2562,f516]) ).
fof(f10691,plain,
! [X0] :
( hd(sK46(X0)) = hd(app(sK46(X0),sK18))
| nil = sK46(X0)
| sP10(X0) ),
inference(resolution,[],[f2562,f515]) ).
fof(f10690,plain,
! [X0] :
( hd(sK43(X0)) = hd(app(sK43(X0),sK18))
| nil = sK43(X0)
| sP8(X0) ),
inference(resolution,[],[f2562,f505]) ).
fof(f10689,plain,
! [X0] :
( hd(sK42(X0)) = hd(app(sK42(X0),sK18))
| nil = sK42(X0)
| sP8(X0) ),
inference(resolution,[],[f2562,f504]) ).
fof(f10688,plain,
! [X0] :
( hd(sK41(X0)) = hd(app(sK41(X0),sK18))
| nil = sK41(X0)
| sP8(X0) ),
inference(resolution,[],[f2562,f503]) ).
fof(f10687,plain,
! [X0] :
( hd(sK38(X0)) = hd(app(sK38(X0),sK18))
| nil = sK38(X0)
| sP6(X0) ),
inference(resolution,[],[f2562,f494]) ).
fof(f10686,plain,
! [X0] :
( hd(sK37(X0)) = hd(app(sK37(X0),sK18))
| nil = sK37(X0)
| sP6(X0) ),
inference(resolution,[],[f2562,f493]) ).
fof(f10685,plain,
! [X0] :
( hd(sK36(X0)) = hd(app(sK36(X0),sK18))
| nil = sK36(X0)
| sP6(X0) ),
inference(resolution,[],[f2562,f492]) ).
fof(f10684,plain,
! [X0] :
( hd(sK33(X0)) = hd(app(sK33(X0),sK18))
| nil = sK33(X0)
| sP4(X0) ),
inference(resolution,[],[f2562,f483]) ).
fof(f10683,plain,
! [X0] :
( hd(sK32(X0)) = hd(app(sK32(X0),sK18))
| nil = sK32(X0)
| sP4(X0) ),
inference(resolution,[],[f2562,f482]) ).
fof(f10682,plain,
! [X0] :
( hd(sK28(X0)) = hd(app(sK28(X0),sK18))
| nil = sK28(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f472]) ).
fof(f10678,plain,
! [X0] :
( hd(sK25(X0)) = hd(app(sK25(X0),sK18))
| nil = sK25(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f464]) ).
fof(f10669,plain,
! [X0] :
( hd(tl(X0)) = hd(app(tl(X0),sK18))
| nil = tl(X0)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f468]) ).
fof(f10666,plain,
! [X0,X1] :
( hd(app(X0,X1)) = hd(app(app(X0,X1),sK18))
| nil = app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2562,f572]) ).
fof(f10721,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f10652,f563]) ).
fof(f10652,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = hd(app(cons(X0,X1),sK18))
| nil = cons(X0,X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2562,f562]) ).
fof(f2562,plain,
! [X0] :
( ~ ssList(X0)
| hd(X0) = hd(app(X0,sK18))
| nil = X0 ),
inference(resolution,[],[f573,f378]) ).
fof(f10498,plain,
! [X0,X1] :
( sK69(X0,X1) = app(nil,sK69(sK69(X0,X1),nil))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f588]) ).
fof(f10497,plain,
! [X0,X1] :
( sK68(X0,X1) = app(nil,sK69(sK68(X0,X1),nil))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f585]) ).
fof(f10496,plain,
! [X0,X1] :
( sK67(X0,X1) = app(nil,sK69(sK67(X0,X1),nil))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f584]) ).
fof(f10489,plain,
! [X0,X1] :
( sK66(X0,X1) = app(nil,sK69(sK66(X0,X1),nil))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f581]) ).
fof(f10488,plain,
! [X0,X1] :
( sK65(X0,X1) = app(nil,sK69(sK65(X0,X1),nil))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f569]) ).
fof(f10487,plain,
! [X0,X1] :
( sK64(X0,X1) = app(nil,sK69(sK64(X0,X1),nil))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f568]) ).
fof(f10486,plain,
! [X0] :
( sK63(X0) = app(nil,sK69(sK63(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f2738,f552]) ).
fof(f10485,plain,
! [X0] :
( sK62(X0) = app(nil,sK69(sK62(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f2738,f551]) ).
fof(f10484,plain,
! [X0] :
( sK61(X0) = app(nil,sK69(sK61(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f2738,f550]) ).
fof(f10483,plain,
! [X0] :
( sK58(X0) = app(nil,sK69(sK58(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f2738,f541]) ).
fof(f10482,plain,
! [X0] :
( sK57(X0) = app(nil,sK69(sK57(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f2738,f540]) ).
fof(f10481,plain,
! [X0] :
( sK56(X0) = app(nil,sK69(sK56(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f2738,f539]) ).
fof(f10480,plain,
! [X0] :
( sK53(X0) = app(nil,sK69(sK53(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f2738,f529]) ).
fof(f10479,plain,
! [X0] :
( sK52(X0) = app(nil,sK69(sK52(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f2738,f528]) ).
fof(f10478,plain,
! [X0] :
( sK51(X0) = app(nil,sK69(sK51(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f2738,f527]) ).
fof(f10477,plain,
! [X0] :
( sK48(X0) = app(nil,sK69(sK48(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f2738,f517]) ).
fof(f10476,plain,
! [X0] :
( sK47(X0) = app(nil,sK69(sK47(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f2738,f516]) ).
fof(f10475,plain,
! [X0] :
( sK46(X0) = app(nil,sK69(sK46(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f2738,f515]) ).
fof(f10474,plain,
! [X0] :
( sK43(X0) = app(nil,sK69(sK43(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f2738,f505]) ).
fof(f10473,plain,
! [X0] :
( sK42(X0) = app(nil,sK69(sK42(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f2738,f504]) ).
fof(f10472,plain,
! [X0] :
( sK41(X0) = app(nil,sK69(sK41(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f2738,f503]) ).
fof(f10471,plain,
! [X0] :
( sK38(X0) = app(nil,sK69(sK38(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f2738,f494]) ).
fof(f10470,plain,
! [X0] :
( sK37(X0) = app(nil,sK69(sK37(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f2738,f493]) ).
fof(f10469,plain,
! [X0] :
( sK36(X0) = app(nil,sK69(sK36(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f2738,f492]) ).
fof(f10468,plain,
! [X0] :
( sK33(X0) = app(nil,sK69(sK33(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f2738,f483]) ).
fof(f10467,plain,
! [X0] :
( sK32(X0) = app(nil,sK69(sK32(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f2738,f482]) ).
fof(f10466,plain,
! [X0] :
( sK28(X0) = app(nil,sK69(sK28(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f472]) ).
fof(f10462,plain,
! [X0] :
( sK25(X0) = app(nil,sK69(sK25(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f464]) ).
fof(f10453,plain,
! [X0] :
( tl(X0) = app(nil,sK69(tl(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f468]) ).
fof(f10450,plain,
! [X0,X1] :
( app(X0,X1) = app(nil,sK69(app(X0,X1),nil))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2738,f572]) ).
fof(f10436,plain,
! [X0,X1] :
( cons(X0,X1) = app(nil,sK69(cons(X0,X1),nil))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2738,f562]) ).
fof(f2738,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,sK69(X0,nil)) = X0 ),
inference(subsumption_resolution,[],[f2736,f400]) ).
fof(f2736,plain,
! [X0] :
( app(nil,sK69(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2729]) ).
fof(f2729,plain,
! [X0] :
( app(nil,sK69(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f589,f459]) ).
fof(f10340,plain,
! [X0,X1] :
( sK69(X0,X1) = app(sK69(X0,X1),sK69(sK69(X0,X1),sK69(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f588]) ).
fof(f10339,plain,
! [X0,X1] :
( sK68(X0,X1) = app(sK68(X0,X1),sK69(sK68(X0,X1),sK68(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f585]) ).
fof(f10338,plain,
! [X0,X1] :
( sK67(X0,X1) = app(sK67(X0,X1),sK69(sK67(X0,X1),sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f584]) ).
fof(f10331,plain,
! [X0,X1] :
( sK66(X0,X1) = app(sK66(X0,X1),sK69(sK66(X0,X1),sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f581]) ).
fof(f10330,plain,
! [X0,X1] :
( sK65(X0,X1) = app(sK65(X0,X1),sK69(sK65(X0,X1),sK65(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f569]) ).
fof(f10329,plain,
! [X0,X1] :
( sK64(X0,X1) = app(sK64(X0,X1),sK69(sK64(X0,X1),sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f568]) ).
fof(f10328,plain,
! [X0] :
( sK63(X0) = app(sK63(X0),sK69(sK63(X0),sK63(X0)))
| sP16(X0) ),
inference(resolution,[],[f2737,f552]) ).
fof(f10327,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),sK69(sK62(X0),sK62(X0)))
| sP16(X0) ),
inference(resolution,[],[f2737,f551]) ).
fof(f10326,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),sK69(sK61(X0),sK61(X0)))
| sP16(X0) ),
inference(resolution,[],[f2737,f550]) ).
fof(f10325,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),sK69(sK58(X0),sK58(X0)))
| sP14(X0) ),
inference(resolution,[],[f2737,f541]) ).
fof(f10324,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),sK69(sK57(X0),sK57(X0)))
| sP14(X0) ),
inference(resolution,[],[f2737,f540]) ).
fof(f10323,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),sK69(sK56(X0),sK56(X0)))
| sP14(X0) ),
inference(resolution,[],[f2737,f539]) ).
fof(f10322,plain,
! [X0] :
( sK53(X0) = app(sK53(X0),sK69(sK53(X0),sK53(X0)))
| sP12(X0) ),
inference(resolution,[],[f2737,f529]) ).
fof(f10321,plain,
! [X0] :
( sK52(X0) = app(sK52(X0),sK69(sK52(X0),sK52(X0)))
| sP12(X0) ),
inference(resolution,[],[f2737,f528]) ).
fof(f10320,plain,
! [X0] :
( sK51(X0) = app(sK51(X0),sK69(sK51(X0),sK51(X0)))
| sP12(X0) ),
inference(resolution,[],[f2737,f527]) ).
fof(f10319,plain,
! [X0] :
( sK48(X0) = app(sK48(X0),sK69(sK48(X0),sK48(X0)))
| sP10(X0) ),
inference(resolution,[],[f2737,f517]) ).
fof(f10318,plain,
! [X0] :
( sK47(X0) = app(sK47(X0),sK69(sK47(X0),sK47(X0)))
| sP10(X0) ),
inference(resolution,[],[f2737,f516]) ).
fof(f10317,plain,
! [X0] :
( sK46(X0) = app(sK46(X0),sK69(sK46(X0),sK46(X0)))
| sP10(X0) ),
inference(resolution,[],[f2737,f515]) ).
fof(f10316,plain,
! [X0] :
( sK43(X0) = app(sK43(X0),sK69(sK43(X0),sK43(X0)))
| sP8(X0) ),
inference(resolution,[],[f2737,f505]) ).
fof(f10315,plain,
! [X0] :
( sK42(X0) = app(sK42(X0),sK69(sK42(X0),sK42(X0)))
| sP8(X0) ),
inference(resolution,[],[f2737,f504]) ).
fof(f10314,plain,
! [X0] :
( sK41(X0) = app(sK41(X0),sK69(sK41(X0),sK41(X0)))
| sP8(X0) ),
inference(resolution,[],[f2737,f503]) ).
fof(f10313,plain,
! [X0] :
( sK38(X0) = app(sK38(X0),sK69(sK38(X0),sK38(X0)))
| sP6(X0) ),
inference(resolution,[],[f2737,f494]) ).
fof(f10312,plain,
! [X0] :
( sK37(X0) = app(sK37(X0),sK69(sK37(X0),sK37(X0)))
| sP6(X0) ),
inference(resolution,[],[f2737,f493]) ).
fof(f10311,plain,
! [X0] :
( sK36(X0) = app(sK36(X0),sK69(sK36(X0),sK36(X0)))
| sP6(X0) ),
inference(resolution,[],[f2737,f492]) ).
fof(f10310,plain,
! [X0] :
( sK33(X0) = app(sK33(X0),sK69(sK33(X0),sK33(X0)))
| sP4(X0) ),
inference(resolution,[],[f2737,f483]) ).
fof(f10309,plain,
! [X0] :
( sK32(X0) = app(sK32(X0),sK69(sK32(X0),sK32(X0)))
| sP4(X0) ),
inference(resolution,[],[f2737,f482]) ).
fof(f10308,plain,
! [X0] :
( sK28(X0) = app(sK28(X0),sK69(sK28(X0),sK28(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f472]) ).
fof(f10304,plain,
! [X0] :
( sK25(X0) = app(sK25(X0),sK69(sK25(X0),sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f464]) ).
fof(f10295,plain,
! [X0] :
( tl(X0) = app(tl(X0),sK69(tl(X0),tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f468]) ).
fof(f10292,plain,
! [X0,X1] :
( app(X0,X1) = app(app(X0,X1),sK69(app(X0,X1),app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2737,f572]) ).
fof(f10279,plain,
! [X0,X1] :
( cons(X0,X1) = app(cons(X0,X1),sK69(cons(X0,X1),cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2737,f562]) ).
fof(f2737,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,sK69(X0,X0)) = X0 ),
inference(duplicate_literal_removal,[],[f2728]) ).
fof(f2728,plain,
! [X0] :
( app(X0,sK69(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f589,f458]) ).
fof(f10114,plain,
! [X0,X1] :
( sK69(X0,X1) = app(sK66(sK69(X0,X1),nil),nil)
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f588]) ).
fof(f10113,plain,
! [X0,X1] :
( sK68(X0,X1) = app(sK66(sK68(X0,X1),nil),nil)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f585]) ).
fof(f10112,plain,
! [X0,X1] :
( sK67(X0,X1) = app(sK66(sK67(X0,X1),nil),nil)
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f584]) ).
fof(f10106,plain,
! [X0,X1] :
( sK66(X0,X1) = app(sK66(sK66(X0,X1),nil),nil)
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f581]) ).
fof(f10105,plain,
! [X0,X1] :
( sK65(X0,X1) = app(sK66(sK65(X0,X1),nil),nil)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f569]) ).
fof(f10104,plain,
! [X0,X1] :
( sK64(X0,X1) = app(sK66(sK64(X0,X1),nil),nil)
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f568]) ).
fof(f10103,plain,
! [X0] :
( sK63(X0) = app(sK66(sK63(X0),nil),nil)
| sP16(X0) ),
inference(resolution,[],[f2656,f552]) ).
fof(f10102,plain,
! [X0] :
( sK62(X0) = app(sK66(sK62(X0),nil),nil)
| sP16(X0) ),
inference(resolution,[],[f2656,f551]) ).
fof(f10101,plain,
! [X0] :
( sK61(X0) = app(sK66(sK61(X0),nil),nil)
| sP16(X0) ),
inference(resolution,[],[f2656,f550]) ).
fof(f10100,plain,
! [X0] :
( sK58(X0) = app(sK66(sK58(X0),nil),nil)
| sP14(X0) ),
inference(resolution,[],[f2656,f541]) ).
fof(f10099,plain,
! [X0] :
( sK57(X0) = app(sK66(sK57(X0),nil),nil)
| sP14(X0) ),
inference(resolution,[],[f2656,f540]) ).
fof(f10098,plain,
! [X0] :
( sK56(X0) = app(sK66(sK56(X0),nil),nil)
| sP14(X0) ),
inference(resolution,[],[f2656,f539]) ).
fof(f10097,plain,
! [X0] :
( sK53(X0) = app(sK66(sK53(X0),nil),nil)
| sP12(X0) ),
inference(resolution,[],[f2656,f529]) ).
fof(f10096,plain,
! [X0] :
( sK52(X0) = app(sK66(sK52(X0),nil),nil)
| sP12(X0) ),
inference(resolution,[],[f2656,f528]) ).
fof(f10095,plain,
! [X0] :
( sK51(X0) = app(sK66(sK51(X0),nil),nil)
| sP12(X0) ),
inference(resolution,[],[f2656,f527]) ).
fof(f10094,plain,
! [X0] :
( sK48(X0) = app(sK66(sK48(X0),nil),nil)
| sP10(X0) ),
inference(resolution,[],[f2656,f517]) ).
fof(f10093,plain,
! [X0] :
( sK47(X0) = app(sK66(sK47(X0),nil),nil)
| sP10(X0) ),
inference(resolution,[],[f2656,f516]) ).
fof(f10092,plain,
! [X0] :
( sK46(X0) = app(sK66(sK46(X0),nil),nil)
| sP10(X0) ),
inference(resolution,[],[f2656,f515]) ).
fof(f10091,plain,
! [X0] :
( sK43(X0) = app(sK66(sK43(X0),nil),nil)
| sP8(X0) ),
inference(resolution,[],[f2656,f505]) ).
fof(f10090,plain,
! [X0] :
( sK42(X0) = app(sK66(sK42(X0),nil),nil)
| sP8(X0) ),
inference(resolution,[],[f2656,f504]) ).
fof(f10089,plain,
! [X0] :
( sK41(X0) = app(sK66(sK41(X0),nil),nil)
| sP8(X0) ),
inference(resolution,[],[f2656,f503]) ).
fof(f10088,plain,
! [X0] :
( sK38(X0) = app(sK66(sK38(X0),nil),nil)
| sP6(X0) ),
inference(resolution,[],[f2656,f494]) ).
fof(f10087,plain,
! [X0] :
( sK37(X0) = app(sK66(sK37(X0),nil),nil)
| sP6(X0) ),
inference(resolution,[],[f2656,f493]) ).
fof(f10086,plain,
! [X0] :
( sK36(X0) = app(sK66(sK36(X0),nil),nil)
| sP6(X0) ),
inference(resolution,[],[f2656,f492]) ).
fof(f10085,plain,
! [X0] :
( sK33(X0) = app(sK66(sK33(X0),nil),nil)
| sP4(X0) ),
inference(resolution,[],[f2656,f483]) ).
fof(f10084,plain,
! [X0] :
( sK32(X0) = app(sK66(sK32(X0),nil),nil)
| sP4(X0) ),
inference(resolution,[],[f2656,f482]) ).
fof(f10083,plain,
! [X0] :
( sK28(X0) = app(sK66(sK28(X0),nil),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f472]) ).
fof(f10079,plain,
! [X0] :
( sK25(X0) = app(sK66(sK25(X0),nil),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f464]) ).
fof(f10070,plain,
! [X0] :
( tl(X0) = app(sK66(tl(X0),nil),nil)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f468]) ).
fof(f10067,plain,
! [X0,X1] :
( app(X0,X1) = app(sK66(app(X0,X1),nil),nil)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2656,f572]) ).
fof(f10054,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK66(cons(X0,X1),nil),nil)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2656,f562]) ).
fof(f2656,plain,
! [X0] :
( ~ ssList(X0)
| app(sK66(X0,nil),nil) = X0 ),
inference(subsumption_resolution,[],[f2648,f400]) ).
fof(f2648,plain,
! [X0] :
( app(sK66(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2645]) ).
fof(f2645,plain,
! [X0] :
( app(sK66(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f582,f457]) ).
fof(f9190,plain,
cons(sK71,sK19) = app(cons(sK71,nil),sK19),
inference(resolution,[],[f1801,f607]) ).
fof(f9919,plain,
! [X0,X1] :
( sK69(X0,X1) = app(sK66(sK69(X0,X1),sK69(X0,X1)),sK69(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f588]) ).
fof(f9918,plain,
! [X0,X1] :
( sK68(X0,X1) = app(sK66(sK68(X0,X1),sK68(X0,X1)),sK68(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f585]) ).
fof(f9917,plain,
! [X0,X1] :
( sK67(X0,X1) = app(sK66(sK67(X0,X1),sK67(X0,X1)),sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f584]) ).
fof(f9911,plain,
! [X0,X1] :
( sK66(X0,X1) = app(sK66(sK66(X0,X1),sK66(X0,X1)),sK66(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f581]) ).
fof(f9910,plain,
! [X0,X1] :
( sK65(X0,X1) = app(sK66(sK65(X0,X1),sK65(X0,X1)),sK65(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f569]) ).
fof(f9909,plain,
! [X0,X1] :
( sK64(X0,X1) = app(sK66(sK64(X0,X1),sK64(X0,X1)),sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f568]) ).
fof(f9908,plain,
! [X0] :
( sK63(X0) = app(sK66(sK63(X0),sK63(X0)),sK63(X0))
| sP16(X0) ),
inference(resolution,[],[f2651,f552]) ).
fof(f9907,plain,
! [X0] :
( sK62(X0) = app(sK66(sK62(X0),sK62(X0)),sK62(X0))
| sP16(X0) ),
inference(resolution,[],[f2651,f551]) ).
fof(f9906,plain,
! [X0] :
( sK61(X0) = app(sK66(sK61(X0),sK61(X0)),sK61(X0))
| sP16(X0) ),
inference(resolution,[],[f2651,f550]) ).
fof(f9905,plain,
! [X0] :
( sK58(X0) = app(sK66(sK58(X0),sK58(X0)),sK58(X0))
| sP14(X0) ),
inference(resolution,[],[f2651,f541]) ).
fof(f9904,plain,
! [X0] :
( sK57(X0) = app(sK66(sK57(X0),sK57(X0)),sK57(X0))
| sP14(X0) ),
inference(resolution,[],[f2651,f540]) ).
fof(f9903,plain,
! [X0] :
( sK56(X0) = app(sK66(sK56(X0),sK56(X0)),sK56(X0))
| sP14(X0) ),
inference(resolution,[],[f2651,f539]) ).
fof(f9902,plain,
! [X0] :
( sK53(X0) = app(sK66(sK53(X0),sK53(X0)),sK53(X0))
| sP12(X0) ),
inference(resolution,[],[f2651,f529]) ).
fof(f9901,plain,
! [X0] :
( sK52(X0) = app(sK66(sK52(X0),sK52(X0)),sK52(X0))
| sP12(X0) ),
inference(resolution,[],[f2651,f528]) ).
fof(f9900,plain,
! [X0] :
( sK51(X0) = app(sK66(sK51(X0),sK51(X0)),sK51(X0))
| sP12(X0) ),
inference(resolution,[],[f2651,f527]) ).
fof(f9899,plain,
! [X0] :
( sK48(X0) = app(sK66(sK48(X0),sK48(X0)),sK48(X0))
| sP10(X0) ),
inference(resolution,[],[f2651,f517]) ).
fof(f9898,plain,
! [X0] :
( sK47(X0) = app(sK66(sK47(X0),sK47(X0)),sK47(X0))
| sP10(X0) ),
inference(resolution,[],[f2651,f516]) ).
fof(f9897,plain,
! [X0] :
( sK46(X0) = app(sK66(sK46(X0),sK46(X0)),sK46(X0))
| sP10(X0) ),
inference(resolution,[],[f2651,f515]) ).
fof(f9896,plain,
! [X0] :
( sK43(X0) = app(sK66(sK43(X0),sK43(X0)),sK43(X0))
| sP8(X0) ),
inference(resolution,[],[f2651,f505]) ).
fof(f9895,plain,
! [X0] :
( sK42(X0) = app(sK66(sK42(X0),sK42(X0)),sK42(X0))
| sP8(X0) ),
inference(resolution,[],[f2651,f504]) ).
fof(f9894,plain,
! [X0] :
( sK41(X0) = app(sK66(sK41(X0),sK41(X0)),sK41(X0))
| sP8(X0) ),
inference(resolution,[],[f2651,f503]) ).
fof(f9893,plain,
! [X0] :
( sK38(X0) = app(sK66(sK38(X0),sK38(X0)),sK38(X0))
| sP6(X0) ),
inference(resolution,[],[f2651,f494]) ).
fof(f9892,plain,
! [X0] :
( sK37(X0) = app(sK66(sK37(X0),sK37(X0)),sK37(X0))
| sP6(X0) ),
inference(resolution,[],[f2651,f493]) ).
fof(f9891,plain,
! [X0] :
( sK36(X0) = app(sK66(sK36(X0),sK36(X0)),sK36(X0))
| sP6(X0) ),
inference(resolution,[],[f2651,f492]) ).
fof(f9890,plain,
! [X0] :
( sK33(X0) = app(sK66(sK33(X0),sK33(X0)),sK33(X0))
| sP4(X0) ),
inference(resolution,[],[f2651,f483]) ).
fof(f9889,plain,
! [X0] :
( sK32(X0) = app(sK66(sK32(X0),sK32(X0)),sK32(X0))
| sP4(X0) ),
inference(resolution,[],[f2651,f482]) ).
fof(f9888,plain,
! [X0] :
( sK28(X0) = app(sK66(sK28(X0),sK28(X0)),sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f472]) ).
fof(f9884,plain,
! [X0] :
( sK25(X0) = app(sK66(sK25(X0),sK25(X0)),sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f464]) ).
fof(f9875,plain,
! [X0] :
( tl(X0) = app(sK66(tl(X0),tl(X0)),tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f468]) ).
fof(f9872,plain,
! [X0,X1] :
( app(X0,X1) = app(sK66(app(X0,X1),app(X0,X1)),app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f2651,f572]) ).
fof(f9860,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK66(cons(X0,X1),cons(X0,X1)),cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f2651,f562]) ).
fof(f2651,plain,
! [X0] :
( ~ ssList(X0)
| app(sK66(X0,X0),X0) = X0 ),
inference(duplicate_literal_removal,[],[f2641]) ).
fof(f2641,plain,
! [X0] :
( app(sK66(X0,X0),X0) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f582,f461]) ).
fof(f9189,plain,
cons(sK70,sK19) = app(cons(sK70,nil),sK19),
inference(resolution,[],[f1801,f606]) ).
fof(f9168,plain,
cons(sK24,sK19) = app(cons(sK24,nil),sK19),
inference(resolution,[],[f1801,f384]) ).
fof(f9607,plain,
( frontsegP(sK18,sK64(sK18,sK24))
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24)) ),
inference(superposition,[],[f2231,f5857]) ).
fof(f9606,plain,
( rearsegP(sK18,cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(cons(sK24,sK65(sK18,sK24))) ),
inference(superposition,[],[f2110,f5857]) ).
fof(f9614,plain,
! [X0] :
( ~ ssList(app(sK18,X0))
| segmentP(app(sK18,X0),cons(sK24,sK65(sK18,sK24)))
| ~ ssList(X0)
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(cons(sK24,sK65(sK18,sK24))) ),
inference(forward_demodulation,[],[f9605,f5857]) ).
fof(f9605,plain,
! [X0] :
( segmentP(app(sK18,X0),cons(sK24,sK65(sK18,sK24)))
| ~ ssList(X0)
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(app(app(sK64(sK18,sK24),cons(sK24,sK65(sK18,sK24))),X0)) ),
inference(superposition,[],[f632,f5857]) ).
fof(f9604,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(cons(sK24,sK65(sK18,sK24)),X1)
| ~ ssList(X0)
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(X1)
| ~ ssList(cons(sK24,sK65(sK18,sK24))) ),
inference(superposition,[],[f605,f5857]) ).
fof(f9603,plain,
! [X0] :
( sK18 != app(sK64(sK18,sK24),X0)
| cons(sK24,sK65(sK18,sK24)) = X0
| ~ ssList(X0)
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(cons(sK24,sK65(sK18,sK24))) ),
inference(superposition,[],[f601,f5857]) ).
fof(f9602,plain,
! [X0] :
( sK18 != app(sK64(sK18,sK24),X0)
| cons(sK24,sK65(sK18,sK24)) = X0
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(X0) ),
inference(superposition,[],[f601,f5857]) ).
fof(f9601,plain,
! [X0] :
( sK18 != app(X0,cons(sK24,sK65(sK18,sK24)))
| sK64(sK18,sK24) = X0
| ~ ssList(X0)
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24)) ),
inference(superposition,[],[f600,f5857]) ).
fof(f9600,plain,
! [X0] :
( sK18 != app(X0,cons(sK24,sK65(sK18,sK24)))
| sK64(sK18,sK24) = X0
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(X0) ),
inference(superposition,[],[f600,f5857]) ).
fof(f9599,plain,
! [X0] :
( frontsegP(sK18,X0)
| ~ frontsegP(sK64(sK18,sK24),X0)
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(X0)
| ~ ssList(sK64(sK18,sK24)) ),
inference(superposition,[],[f599,f5857]) ).
fof(f9598,plain,
! [X0] :
( rearsegP(sK18,X0)
| ~ rearsegP(cons(sK24,sK65(sK18,sK24)),X0)
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(X0)
| ~ ssList(cons(sK24,sK65(sK18,sK24))) ),
inference(superposition,[],[f598,f5857]) ).
fof(f9594,plain,
! [X0] :
( memberP(sK18,X0)
| ~ memberP(cons(sK24,sK65(sK18,sK24)),X0)
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0) ),
inference(superposition,[],[f455,f5857]) ).
fof(f9593,plain,
! [X0] :
( memberP(sK18,X0)
| ~ memberP(sK64(sK18,sK24),X0)
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0) ),
inference(superposition,[],[f454,f5857]) ).
fof(f9592,plain,
! [X0] :
( ~ memberP(sK18,X0)
| memberP(sK64(sK18,sK24),X0)
| memberP(cons(sK24,sK65(sK18,sK24)),X0)
| ~ ssList(cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0) ),
inference(superposition,[],[f453,f5857]) ).
fof(f9613,plain,
! [X0] :
( ~ sP6(app(sK18,cons(sK24,X0)))
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f9591,f384]) ).
fof(f9591,plain,
! [X0] :
( ~ sP6(app(sK18,cons(sK24,X0)))
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(sK24)
| ~ ssList(X0) ),
inference(superposition,[],[f637,f5857]) ).
fof(f9612,plain,
! [X0,X1] :
( ~ sP16(app(sK18,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| lt(sK24,X0) ),
inference(subsumption_resolution,[],[f9589,f384]) ).
fof(f9589,plain,
! [X0,X1] :
( ~ sP16(app(sK18,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| ~ ssItem(sK24)
| lt(sK24,X0) ),
inference(superposition,[],[f625,f5857]) ).
fof(f9611,plain,
! [X0,X1] :
( ~ sP14(app(sK18,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| leq(sK24,X0) ),
inference(subsumption_resolution,[],[f9588,f384]) ).
fof(f9588,plain,
! [X0,X1] :
( ~ sP14(app(sK18,cons(X0,X1)))
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| ~ ssItem(sK24)
| leq(sK24,X0) ),
inference(superposition,[],[f624,f5857]) ).
fof(f9610,plain,
! [X0,X1] :
( ~ sP12(app(sK18,cons(X0,X1)))
| ~ leq(sK24,X0)
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| ~ leq(X0,sK24) ),
inference(subsumption_resolution,[],[f9587,f384]) ).
fof(f9587,plain,
! [X0,X1] :
( ~ sP12(app(sK18,cons(X0,X1)))
| ~ leq(sK24,X0)
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| ~ ssItem(sK24)
| ~ leq(X0,sK24) ),
inference(superposition,[],[f623,f5857]) ).
fof(f9609,plain,
! [X0,X1] :
( ~ sP10(app(sK18,cons(X0,X1)))
| lt(sK24,X0)
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| lt(X0,sK24) ),
inference(subsumption_resolution,[],[f9586,f384]) ).
fof(f9586,plain,
! [X0,X1] :
( ~ sP10(app(sK18,cons(X0,X1)))
| lt(sK24,X0)
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| ~ ssItem(sK24)
| lt(X0,sK24) ),
inference(superposition,[],[f622,f5857]) ).
fof(f9608,plain,
! [X0,X1] :
( ~ sP8(app(sK18,cons(X0,X1)))
| leq(sK24,X0)
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| leq(X0,sK24) ),
inference(subsumption_resolution,[],[f9585,f384]) ).
fof(f9585,plain,
! [X0,X1] :
( ~ sP8(app(sK18,cons(X0,X1)))
| leq(sK24,X0)
| ~ ssList(X1)
| ~ ssList(sK65(sK18,sK24))
| ~ ssList(sK64(sK18,sK24))
| ~ ssItem(X0)
| ~ ssItem(sK24)
| leq(X0,sK24) ),
inference(superposition,[],[f621,f5857]) ).
fof(f5857,plain,
sK18 = app(sK64(sK18,sK24),cons(sK24,sK65(sK18,sK24))),
inference(subsumption_resolution,[],[f5856,f378]) ).
fof(f5856,plain,
( sK18 = app(sK64(sK18,sK24),cons(sK24,sK65(sK18,sK24)))
| ~ ssList(sK18) ),
inference(subsumption_resolution,[],[f5832,f384]) ).
fof(f5832,plain,
( sK18 = app(sK64(sK18,sK24),cons(sK24,sK65(sK18,sK24)))
| ~ ssItem(sK24)
| ~ ssList(sK18) ),
inference(resolution,[],[f570,f385]) ).
fof(f9188,plain,
! [X0] :
( cons(sK60(X0),sK19) = app(cons(sK60(X0),nil),sK19)
| sP16(X0) ),
inference(resolution,[],[f1801,f549]) ).
fof(f9187,plain,
! [X0] :
( cons(sK59(X0),sK19) = app(cons(sK59(X0),nil),sK19)
| sP16(X0) ),
inference(resolution,[],[f1801,f548]) ).
fof(f9186,plain,
! [X0] :
( cons(sK55(X0),sK19) = app(cons(sK55(X0),nil),sK19)
| sP14(X0) ),
inference(resolution,[],[f1801,f538]) ).
fof(f9185,plain,
! [X0] :
( cons(sK54(X0),sK19) = app(cons(sK54(X0),nil),sK19)
| sP14(X0) ),
inference(resolution,[],[f1801,f537]) ).
fof(f9184,plain,
! [X0] :
( cons(sK50(X0),sK19) = app(cons(sK50(X0),nil),sK19)
| sP12(X0) ),
inference(resolution,[],[f1801,f526]) ).
fof(f9183,plain,
! [X0] :
( cons(sK49(X0),sK19) = app(cons(sK49(X0),nil),sK19)
| sP12(X0) ),
inference(resolution,[],[f1801,f525]) ).
fof(f9182,plain,
! [X0] :
( cons(sK45(X0),sK19) = app(cons(sK45(X0),nil),sK19)
| sP10(X0) ),
inference(resolution,[],[f1801,f514]) ).
fof(f9181,plain,
! [X0] :
( cons(sK44(X0),sK19) = app(cons(sK44(X0),nil),sK19)
| sP10(X0) ),
inference(resolution,[],[f1801,f513]) ).
fof(f9180,plain,
! [X0] :
( cons(sK40(X0),sK19) = app(cons(sK40(X0),nil),sK19)
| sP8(X0) ),
inference(resolution,[],[f1801,f502]) ).
fof(f9179,plain,
! [X0] :
( cons(sK39(X0),sK19) = app(cons(sK39(X0),nil),sK19)
| sP8(X0) ),
inference(resolution,[],[f1801,f501]) ).
fof(f9178,plain,
! [X0] :
( cons(sK35(X0),sK19) = app(cons(sK35(X0),nil),sK19)
| sP6(X0) ),
inference(resolution,[],[f1801,f491]) ).
fof(f9177,plain,
! [X0] :
( cons(sK34(X0),sK19) = app(cons(sK34(X0),nil),sK19)
| sP6(X0) ),
inference(resolution,[],[f1801,f490]) ).
fof(f9176,plain,
! [X0] :
( cons(sK31(X0),sK19) = app(cons(sK31(X0),nil),sK19)
| sP4(X0) ),
inference(resolution,[],[f1801,f481]) ).
fof(f9175,plain,
! [X0] :
( cons(sK30(X0),sK19) = app(cons(sK30(X0),nil),sK19)
| sP4(X0) ),
inference(resolution,[],[f1801,f480]) ).
fof(f9174,plain,
! [X0] :
( cons(sK29(X0),sK19) = app(cons(sK29(X0),nil),sK19)
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1801,f474]) ).
fof(f9173,plain,
! [X0] :
( cons(sK27(X0),sK19) = app(cons(sK27(X0),nil),sK19)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1801,f470]) ).
fof(f9169,plain,
! [X0] :
( cons(sK26(X0),sK19) = app(cons(sK26(X0),nil),sK19)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1801,f465]) ).
fof(f9163,plain,
! [X0] :
( cons(hd(X0),sK19) = app(cons(hd(X0),nil),sK19)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1801,f467]) ).
fof(f1801,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK19) = app(cons(X0,nil),sK19) ),
inference(resolution,[],[f567,f379]) ).
fof(f8958,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
inference(resolution,[],[f623,f1733]) ).
fof(f8953,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f623,f1047]) ).
fof(f8952,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f623,f1046]) ).
fof(f8951,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f623,f1017]) ).
fof(f8950,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f623,f1016]) ).
fof(f8949,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK19 = tl(cons(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f623,f993]) ).
fof(f8948,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK19 = tl(cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f623,f992]) ).
fof(f8947,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK18 = tl(cons(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f623,f937]) ).
fof(f8946,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK18 = tl(cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f623,f936]) ).
fof(f8945,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK53(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK53(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f623,f727]) ).
fof(f8944,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK52(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK52(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f623,f726]) ).
fof(f8943,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK51(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK51(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f623,f725]) ).
fof(f8942,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK53(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK53(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f623,f700]) ).
fof(f8941,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK52(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK52(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f623,f699]) ).
fof(f8940,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| sK51(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK51(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f623,f698]) ).
fof(f8939,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| ~ cyclefreeP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
| ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
inference(resolution,[],[f623,f673]) ).
fof(f8938,plain,
! [X2,X3,X0,X1,X4] :
( ~ leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK51(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK49(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK52(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK50(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK53(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
inference(resolution,[],[f623,f530]) ).
fof(f8724,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f622,f1045]) ).
fof(f8723,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f622,f1044]) ).
fof(f8722,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f622,f1015]) ).
fof(f8721,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f622,f1014]) ).
fof(f8720,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK19 = tl(cons(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f622,f991]) ).
fof(f8719,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK19 = tl(cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f622,f990]) ).
fof(f8718,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK18 = tl(cons(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f622,f935]) ).
fof(f8717,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK18 = tl(cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f622,f934]) ).
fof(f8716,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK48(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f622,f724]) ).
fof(f8715,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK47(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f622,f723]) ).
fof(f8714,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK46(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f622,f722]) ).
fof(f8713,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f622,f697]) ).
fof(f8712,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f622,f696]) ).
fof(f8711,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f622,f695]) ).
fof(f8710,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| ~ strictorderP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
| ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
inference(resolution,[],[f622,f672]) ).
fof(f8709,plain,
! [X2,X3,X0,X1,X4] :
( lt(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| lt(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK46(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK44(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK47(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK45(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK48(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
inference(resolution,[],[f622,f518]) ).
fof(f8495,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f621,f1043]) ).
fof(f8494,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f621,f1042]) ).
fof(f8493,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f621,f1013]) ).
fof(f8492,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))) = hd(cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f621,f1012]) ).
fof(f8491,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK19 = tl(cons(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f621,f989]) ).
fof(f8490,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK19 = tl(cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK19)) ),
inference(resolution,[],[f621,f988]) ).
fof(f8489,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK18 = tl(cons(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f621,f933]) ).
fof(f8488,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK18 = tl(cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK18)) ),
inference(resolution,[],[f621,f932]) ).
fof(f8487,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK43(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f621,f721]) ).
fof(f8486,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK42(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f621,f720]) ).
fof(f8485,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(nil,sK41(app(app(X4,cons(X0,X3)),cons(X1,X2)))) ),
inference(resolution,[],[f621,f719]) ).
fof(f8484,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f621,f694]) ).
fof(f8483,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f621,f693]) ).
fof(f8482,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))) = app(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),nil) ),
inference(resolution,[],[f621,f692]) ).
fof(f8481,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| ~ totalorderP(app(app(X4,cons(X0,X3)),cons(X1,X2)))
| ~ ssList(app(app(X4,cons(X0,X3)),cons(X1,X2))) ),
inference(resolution,[],[f621,f671]) ).
fof(f8480,plain,
! [X2,X3,X0,X1,X4] :
( leq(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X4)
| ~ ssItem(X1)
| ~ ssItem(X0)
| leq(X1,X0)
| app(app(X4,cons(X0,X3)),cons(X1,X2)) = app(app(sK41(app(app(X4,cons(X0,X3)),cons(X1,X2))),cons(sK39(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK42(app(app(X4,cons(X0,X3)),cons(X1,X2))))),cons(sK40(app(app(X4,cons(X0,X3)),cons(X1,X2))),sK43(app(app(X4,cons(X0,X3)),cons(X1,X2))))) ),
inference(resolution,[],[f621,f506]) ).
fof(f8251,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f625,f1051]) ).
fof(f8250,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f625,f1050]) ).
fof(f8249,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f625,f1021]) ).
fof(f8248,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f625,f1020]) ).
fof(f8247,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK19 = tl(cons(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f625,f997]) ).
fof(f8246,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK19 = tl(cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f625,f996]) ).
fof(f8245,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK18 = tl(cons(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f625,f941]) ).
fof(f8244,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK18 = tl(cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f625,f940]) ).
fof(f8243,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK63(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK63(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
inference(resolution,[],[f625,f733]) ).
fof(f8242,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK62(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK62(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
inference(resolution,[],[f625,f732]) ).
fof(f8241,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK61(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK61(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
inference(resolution,[],[f625,f731]) ).
fof(f8240,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK63(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK63(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
inference(resolution,[],[f625,f706]) ).
fof(f8239,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK62(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK62(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
inference(resolution,[],[f625,f705]) ).
fof(f8238,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| sK61(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK61(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
inference(resolution,[],[f625,f704]) ).
fof(f8237,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| ~ strictorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0))) ),
inference(resolution,[],[f625,f676]) ).
fof(f8236,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| lt(X4,X3)
| app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK61(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK59(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK62(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK60(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK63(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ),
inference(resolution,[],[f625,f553]) ).
fof(f7764,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f624,f1049]) ).
fof(f7763,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f624,f1048]) ).
fof(f7762,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f624,f1019]) ).
fof(f7761,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))) = hd(cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f624,f1018]) ).
fof(f7760,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK19 = tl(cons(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f624,f995]) ).
fof(f7759,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK19 = tl(cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK19)) ),
inference(resolution,[],[f624,f994]) ).
fof(f7758,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK18 = tl(cons(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f624,f939]) ).
fof(f7757,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK18 = tl(cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK18)) ),
inference(resolution,[],[f624,f938]) ).
fof(f7756,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK58(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
inference(resolution,[],[f624,f730]) ).
fof(f7755,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK57(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
inference(resolution,[],[f624,f729]) ).
fof(f7754,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(nil,sK56(app(app(X2,cons(X4,X1)),cons(X3,X0)))) ),
inference(resolution,[],[f624,f728]) ).
fof(f7753,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
inference(resolution,[],[f624,f703]) ).
fof(f7752,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
inference(resolution,[],[f624,f702]) ).
fof(f7751,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))) = app(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),nil) ),
inference(resolution,[],[f624,f701]) ).
fof(f7750,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| ~ totalorderedP(app(app(X2,cons(X4,X1)),cons(X3,X0)))
| ~ ssList(app(app(X2,cons(X4,X1)),cons(X3,X0))) ),
inference(resolution,[],[f624,f674]) ).
fof(f7749,plain,
! [X2,X3,X0,X1,X4] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X3)
| ~ ssItem(X4)
| leq(X4,X3)
| app(app(X2,cons(X4,X1)),cons(X3,X0)) = app(app(sK56(app(app(X2,cons(X4,X1)),cons(X3,X0))),cons(sK54(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK57(app(app(X2,cons(X4,X1)),cons(X3,X0))))),cons(sK55(app(app(X2,cons(X4,X1)),cons(X3,X0))),sK58(app(app(X2,cons(X4,X1)),cons(X3,X0))))) ),
inference(resolution,[],[f624,f542]) ).
fof(f7568,plain,
! [X0] :
( hd(X0) != sK71
| tl(X0) != sK19
| cons(sK71,sK19) = X0
| nil = X0
| nil = cons(sK71,sK19)
| ~ ssList(cons(sK71,sK19))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7352,f1053]) ).
fof(f7352,plain,
! [X0] :
( tl(X0) != sK19
| cons(sK71,sK19) = X0
| hd(X0) != hd(cons(sK71,sK19))
| nil = X0
| nil = cons(sK71,sK19)
| ~ ssList(cons(sK71,sK19))
| ~ ssList(X0) ),
inference(superposition,[],[f575,f999]) ).
fof(f7567,plain,
! [X0] :
( hd(X0) != sK70
| tl(X0) != sK19
| cons(sK70,sK19) = X0
| nil = X0
| nil = cons(sK70,sK19)
| ~ ssList(cons(sK70,sK19))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7351,f1052]) ).
fof(f7351,plain,
! [X0] :
( tl(X0) != sK19
| cons(sK70,sK19) = X0
| hd(X0) != hd(cons(sK70,sK19))
| nil = X0
| nil = cons(sK70,sK19)
| ~ ssList(cons(sK70,sK19))
| ~ ssList(X0) ),
inference(superposition,[],[f575,f998]) ).
fof(f7551,plain,
! [X0] :
( hd(X0) != sK24
| tl(X0) != sK19
| cons(sK24,sK19) = X0
| nil = X0
| nil = cons(sK24,sK19)
| ~ ssList(cons(sK24,sK19))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7347,f1034]) ).
fof(f7347,plain,
! [X0] :
( tl(X0) != sK19
| cons(sK24,sK19) = X0
| hd(X0) != hd(cons(sK24,sK19))
| nil = X0
| nil = cons(sK24,sK19)
| ~ ssList(cons(sK24,sK19))
| ~ ssList(X0) ),
inference(superposition,[],[f575,f980]) ).
fof(f7459,plain,
! [X0] :
( hd(X0) != sK71
| tl(X0) != sK19
| cons(sK71,sK19) = X0
| nil = cons(sK71,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(cons(sK71,sK19)) ),
inference(forward_demodulation,[],[f7296,f1053]) ).
fof(f7296,plain,
! [X0] :
( tl(X0) != sK19
| cons(sK71,sK19) = X0
| hd(X0) != hd(cons(sK71,sK19))
| nil = cons(sK71,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(cons(sK71,sK19)) ),
inference(superposition,[],[f575,f999]) ).
fof(f7458,plain,
! [X0] :
( hd(X0) != sK70
| tl(X0) != sK19
| cons(sK70,sK19) = X0
| nil = cons(sK70,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(cons(sK70,sK19)) ),
inference(forward_demodulation,[],[f7295,f1052]) ).
fof(f7295,plain,
! [X0] :
( tl(X0) != sK19
| cons(sK70,sK19) = X0
| hd(X0) != hd(cons(sK70,sK19))
| nil = cons(sK70,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(cons(sK70,sK19)) ),
inference(superposition,[],[f575,f998]) ).
fof(f7442,plain,
! [X0] :
( hd(X0) != sK24
| tl(X0) != sK19
| cons(sK24,sK19) = X0
| nil = cons(sK24,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(cons(sK24,sK19)) ),
inference(forward_demodulation,[],[f7291,f1034]) ).
fof(f7291,plain,
! [X0] :
( tl(X0) != sK19
| cons(sK24,sK19) = X0
| hd(X0) != hd(cons(sK24,sK19))
| nil = cons(sK24,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(cons(sK24,sK19)) ),
inference(superposition,[],[f575,f980]) ).
fof(f575,plain,
! [X0,X1] :
( tl(X0) != tl(X1)
| X0 = X1
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f191]) ).
fof(f191,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| tl(X0) != tl(X1)
| hd(X0) != hd(X1)
| nil = X0
| nil = X1
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f77]) ).
fof(f77,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( tl(X0) = tl(X1)
& hd(X0) = hd(X1)
& nil != X0
& nil != X1 )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax77) ).
fof(f7204,plain,
! [X0] :
( ~ ssList(app(nil,X0))
| segmentP(app(nil,X0),sK69(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(forward_demodulation,[],[f7203,f2740]) ).
fof(f7203,plain,
! [X0] :
( segmentP(app(nil,X0),sK69(nil,nil))
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil))
| ~ ssList(app(app(nil,sK69(nil,nil)),X0)) ),
inference(subsumption_resolution,[],[f7026,f400]) ).
fof(f7026,plain,
! [X0] :
( segmentP(app(nil,X0),sK69(nil,nil))
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil))
| ~ ssList(app(app(nil,sK69(nil,nil)),X0)) ),
inference(superposition,[],[f632,f2740]) ).
fof(f7141,plain,
! [X0] :
( ~ ssList(app(sK19,X0))
| segmentP(app(sK19,X0),sK19)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7140,f711]) ).
fof(f7140,plain,
! [X0] :
( segmentP(app(sK19,X0),sK19)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK19),X0)) ),
inference(subsumption_resolution,[],[f7139,f379]) ).
fof(f7139,plain,
! [X0] :
( segmentP(app(sK19,X0),sK19)
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(app(app(nil,sK19),X0)) ),
inference(subsumption_resolution,[],[f7010,f400]) ).
fof(f7010,plain,
! [X0] :
( segmentP(app(sK19,X0),sK19)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(app(app(nil,sK19),X0)) ),
inference(superposition,[],[f632,f711]) ).
fof(f7123,plain,
! [X0] :
( ~ ssList(app(sK18,X0))
| segmentP(app(sK18,X0),sK18)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7122,f710]) ).
fof(f7122,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK18),X0)) ),
inference(subsumption_resolution,[],[f7121,f378]) ).
fof(f7121,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(app(app(nil,sK18),X0)) ),
inference(subsumption_resolution,[],[f7004,f400]) ).
fof(f7004,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(app(app(nil,sK18),X0)) ),
inference(superposition,[],[f632,f710]) ).
fof(f7031,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0)) ),
inference(duplicate_literal_removal,[],[f6978]) ).
fof(f6978,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = X2
| ~ segmentP(X2,app(app(X1,X2),X0))
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X2) ),
inference(resolution,[],[f632,f577]) ).
fof(f7032,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X3) ),
inference(duplicate_literal_removal,[],[f6977]) ).
fof(f6977,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| segmentP(X3,X2)
| ~ segmentP(X3,app(app(X1,X2),X0))
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| ~ ssList(X3) ),
inference(resolution,[],[f632,f602]) ).
fof(f7033,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK67(app(app(X1,X2),X0),X2),X2),sK68(app(app(X1,X2),X0),X2)) ),
inference(duplicate_literal_removal,[],[f6976]) ).
fof(f6976,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0))
| app(app(X1,X2),X0) = app(app(sK67(app(app(X1,X2),X0),X2),X2),sK68(app(app(X1,X2),X0),X2))
| ~ ssList(X2)
| ~ ssList(app(app(X1,X2),X0)) ),
inference(resolution,[],[f632,f586]) ).
fof(f632,plain,
! [X2,X3,X1] :
( segmentP(app(app(X2,X1),X3),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(app(X2,X1),X3)) ),
inference(equality_resolution,[],[f587]) ).
fof(f587,plain,
! [X2,X3,X0,X1] :
( segmentP(X0,X1)
| app(app(X2,X1),X3) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
& ssList(sK68(X0,X1))
& ssList(sK67(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f365,f367,f366]) ).
fof(f366,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK67(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK67(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
& ssList(sK68(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( segmentP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(app(X2,X1),X3) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f6933,plain,
( ssList(cons(sK71,sK18))
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6918,f378]) ).
fof(f6918,plain,
( ssList(cons(sK71,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f572,f6553]) ).
fof(f6946,plain,
( frontsegP(cons(sK71,sK18),cons(sK71,nil))
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6929,f378]) ).
fof(f6929,plain,
( frontsegP(cons(sK71,sK18),cons(sK71,nil))
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f2231,f6553]) ).
fof(f6945,plain,
( rearsegP(cons(sK71,sK18),sK18)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6928,f378]) ).
fof(f6928,plain,
( rearsegP(cons(sK71,sK18),sK18)
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2110,f6553]) ).
fof(f6944,plain,
! [X0,X1] :
( segmentP(app(cons(sK71,sK18),X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6927,f378]) ).
fof(f6927,plain,
! [X0,X1] :
( segmentP(app(cons(sK71,sK18),X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X1)
| ~ ssList(sK18) ),
inference(superposition,[],[f605,f6553]) ).
fof(f6943,plain,
! [X0] :
( cons(sK71,sK18) != app(cons(sK71,nil),X0)
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6926,f378]) ).
fof(f6926,plain,
! [X0] :
( cons(sK71,sK18) != app(cons(sK71,nil),X0)
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f601,f6553]) ).
fof(f6942,plain,
! [X0] :
( cons(sK71,sK18) != app(cons(sK71,nil),X0)
| sK18 = X0
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6925,f378]) ).
fof(f6925,plain,
! [X0] :
( cons(sK71,sK18) != app(cons(sK71,nil),X0)
| sK18 = X0
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) ),
inference(superposition,[],[f601,f6553]) ).
fof(f6941,plain,
! [X0] :
( cons(sK71,sK18) != app(X0,sK18)
| cons(sK71,nil) = X0
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6924,f378]) ).
fof(f6924,plain,
! [X0] :
( cons(sK71,sK18) != app(X0,sK18)
| cons(sK71,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f600,f6553]) ).
fof(f6940,plain,
! [X0] :
( cons(sK71,sK18) != app(X0,sK18)
| cons(sK71,nil) = X0
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6923,f378]) ).
fof(f6923,plain,
! [X0] :
( cons(sK71,sK18) != app(X0,sK18)
| cons(sK71,nil) = X0
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f6553]) ).
fof(f6939,plain,
! [X0] :
( frontsegP(cons(sK71,sK18),X0)
| ~ frontsegP(cons(sK71,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6922,f378]) ).
fof(f6922,plain,
! [X0] :
( frontsegP(cons(sK71,sK18),X0)
| ~ frontsegP(cons(sK71,nil),X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f599,f6553]) ).
fof(f6938,plain,
! [X0] :
( rearsegP(cons(sK71,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6921,f378]) ).
fof(f6921,plain,
! [X0] :
( rearsegP(cons(sK71,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(superposition,[],[f598,f6553]) ).
fof(f6936,plain,
( nil != cons(sK71,sK18)
| nil = cons(sK71,nil)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f6920,f378]) ).
fof(f6920,plain,
( nil != cons(sK71,sK18)
| nil = cons(sK71,nil)
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f592,f6553]) ).
fof(f6932,plain,
! [X0] :
( memberP(cons(sK71,sK18),X0)
| ~ memberP(sK18,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6917,f378]) ).
fof(f6917,plain,
! [X0] :
( memberP(cons(sK71,sK18),X0)
| ~ memberP(sK18,X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f455,f6553]) ).
fof(f6931,plain,
! [X0] :
( memberP(cons(sK71,sK18),X0)
| ~ memberP(cons(sK71,nil),X0)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6916,f378]) ).
fof(f6916,plain,
! [X0] :
( memberP(cons(sK71,sK18),X0)
| ~ memberP(cons(sK71,nil),X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f454,f6553]) ).
fof(f6930,plain,
! [X0] :
( ~ memberP(cons(sK71,sK18),X0)
| memberP(cons(sK71,nil),X0)
| memberP(sK18,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6915,f378]) ).
fof(f6915,plain,
! [X0] :
( ~ memberP(cons(sK71,sK18),X0)
| memberP(cons(sK71,nil),X0)
| memberP(sK18,X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f453,f6553]) ).
fof(f6914,plain,
( sK18 != cons(sK71,sK18)
| nil = cons(sK71,nil)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f4011,f6553]) ).
fof(f6553,plain,
cons(sK71,sK18) = app(cons(sK71,nil),sK18),
inference(resolution,[],[f1800,f607]) ).
fof(f6850,plain,
( ssList(cons(sK70,sK18))
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6835,f378]) ).
fof(f6835,plain,
( ssList(cons(sK70,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f572,f6552]) ).
fof(f6863,plain,
( frontsegP(cons(sK70,sK18),cons(sK70,nil))
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6846,f378]) ).
fof(f6846,plain,
( frontsegP(cons(sK70,sK18),cons(sK70,nil))
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f2231,f6552]) ).
fof(f6862,plain,
( rearsegP(cons(sK70,sK18),sK18)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6845,f378]) ).
fof(f6845,plain,
( rearsegP(cons(sK70,sK18),sK18)
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2110,f6552]) ).
fof(f6861,plain,
! [X0,X1] :
( segmentP(app(cons(sK70,sK18),X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6844,f378]) ).
fof(f6844,plain,
! [X0,X1] :
( segmentP(app(cons(sK70,sK18),X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X1)
| ~ ssList(sK18) ),
inference(superposition,[],[f605,f6552]) ).
fof(f6860,plain,
! [X0] :
( cons(sK70,sK18) != app(cons(sK70,nil),X0)
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6843,f378]) ).
fof(f6843,plain,
! [X0] :
( cons(sK70,sK18) != app(cons(sK70,nil),X0)
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f601,f6552]) ).
fof(f6859,plain,
! [X0] :
( cons(sK70,sK18) != app(cons(sK70,nil),X0)
| sK18 = X0
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6842,f378]) ).
fof(f6842,plain,
! [X0] :
( cons(sK70,sK18) != app(cons(sK70,nil),X0)
| sK18 = X0
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0) ),
inference(superposition,[],[f601,f6552]) ).
fof(f6858,plain,
! [X0] :
( cons(sK70,sK18) != app(X0,sK18)
| cons(sK70,nil) = X0
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6841,f378]) ).
fof(f6841,plain,
! [X0] :
( cons(sK70,sK18) != app(X0,sK18)
| cons(sK70,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f600,f6552]) ).
fof(f6857,plain,
! [X0] :
( cons(sK70,sK18) != app(X0,sK18)
| cons(sK70,nil) = X0
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6840,f378]) ).
fof(f6840,plain,
! [X0] :
( cons(sK70,sK18) != app(X0,sK18)
| cons(sK70,nil) = X0
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f6552]) ).
fof(f6856,plain,
! [X0] :
( frontsegP(cons(sK70,sK18),X0)
| ~ frontsegP(cons(sK70,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6839,f378]) ).
fof(f6839,plain,
! [X0] :
( frontsegP(cons(sK70,sK18),X0)
| ~ frontsegP(cons(sK70,nil),X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f599,f6552]) ).
fof(f6855,plain,
! [X0] :
( rearsegP(cons(sK70,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6838,f378]) ).
fof(f6838,plain,
! [X0] :
( rearsegP(cons(sK70,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(superposition,[],[f598,f6552]) ).
fof(f6853,plain,
( nil != cons(sK70,sK18)
| nil = cons(sK70,nil)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f6837,f378]) ).
fof(f6837,plain,
( nil != cons(sK70,sK18)
| nil = cons(sK70,nil)
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f592,f6552]) ).
fof(f6849,plain,
! [X0] :
( memberP(cons(sK70,sK18),X0)
| ~ memberP(sK18,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6834,f378]) ).
fof(f6834,plain,
! [X0] :
( memberP(cons(sK70,sK18),X0)
| ~ memberP(sK18,X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f455,f6552]) ).
fof(f6848,plain,
! [X0] :
( memberP(cons(sK70,sK18),X0)
| ~ memberP(cons(sK70,nil),X0)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6833,f378]) ).
fof(f6833,plain,
! [X0] :
( memberP(cons(sK70,sK18),X0)
| ~ memberP(cons(sK70,nil),X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f454,f6552]) ).
fof(f6847,plain,
! [X0] :
( ~ memberP(cons(sK70,sK18),X0)
| memberP(cons(sK70,nil),X0)
| memberP(sK18,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6832,f378]) ).
fof(f6832,plain,
! [X0] :
( ~ memberP(cons(sK70,sK18),X0)
| memberP(cons(sK70,nil),X0)
| memberP(sK18,X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f453,f6552]) ).
fof(f6831,plain,
( sK18 != cons(sK70,sK18)
| nil = cons(sK70,nil)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f4011,f6552]) ).
fof(f6552,plain,
cons(sK70,sK18) = app(cons(sK70,nil),sK18),
inference(resolution,[],[f1800,f606]) ).
fof(f6799,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK64(app(X1,cons(X2,X0)),X2),cons(X2,sK65(app(X1,cons(X2,X0)),X2))) ),
inference(duplicate_literal_removal,[],[f6786]) ).
fof(f6786,plain,
! [X2,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0)))
| app(X1,cons(X2,X0)) = app(sK64(app(X1,cons(X2,X0)),X2),cons(X2,sK65(app(X1,cons(X2,X0)),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X1,cons(X2,X0))) ),
inference(resolution,[],[f629,f570]) ).
fof(f629,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f571]) ).
fof(f571,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
& ssList(sK65(X0,X1))
& ssList(sK64(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f355,f357,f356]) ).
fof(f356,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK64(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,plain,
! [X0,X1] :
( ? [X5] :
( app(sK64(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f355,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f6721,plain,
( ssList(cons(sK24,sK18))
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6706,f378]) ).
fof(f6706,plain,
( ssList(cons(sK24,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil)) ),
inference(superposition,[],[f572,f6531]) ).
fof(f6734,plain,
( frontsegP(cons(sK24,sK18),cons(sK24,nil))
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6717,f378]) ).
fof(f6717,plain,
( frontsegP(cons(sK24,sK18),cons(sK24,nil))
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil)) ),
inference(superposition,[],[f2231,f6531]) ).
fof(f6733,plain,
( rearsegP(cons(sK24,sK18),sK18)
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6716,f378]) ).
fof(f6716,plain,
( rearsegP(cons(sK24,sK18),sK18)
| ~ ssList(cons(sK24,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2110,f6531]) ).
fof(f6732,plain,
! [X0,X1] :
( segmentP(app(cons(sK24,sK18),X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6715,f378]) ).
fof(f6715,plain,
! [X0,X1] :
( segmentP(app(cons(sK24,sK18),X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil))
| ~ ssList(X1)
| ~ ssList(sK18) ),
inference(superposition,[],[f605,f6531]) ).
fof(f6731,plain,
! [X0] :
( cons(sK24,sK18) != app(cons(sK24,nil),X0)
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6714,f378]) ).
fof(f6714,plain,
! [X0] :
( cons(sK24,sK18) != app(cons(sK24,nil),X0)
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f601,f6531]) ).
fof(f6730,plain,
! [X0] :
( cons(sK24,sK18) != app(cons(sK24,nil),X0)
| sK18 = X0
| ~ ssList(cons(sK24,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6713,f378]) ).
fof(f6713,plain,
! [X0] :
( cons(sK24,sK18) != app(cons(sK24,nil),X0)
| sK18 = X0
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil))
| ~ ssList(X0) ),
inference(superposition,[],[f601,f6531]) ).
fof(f6729,plain,
! [X0] :
( cons(sK24,sK18) != app(X0,sK18)
| cons(sK24,nil) = X0
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6712,f378]) ).
fof(f6712,plain,
! [X0] :
( cons(sK24,sK18) != app(X0,sK18)
| cons(sK24,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil)) ),
inference(superposition,[],[f600,f6531]) ).
fof(f6728,plain,
! [X0] :
( cons(sK24,sK18) != app(X0,sK18)
| cons(sK24,nil) = X0
| ~ ssList(cons(sK24,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6711,f378]) ).
fof(f6711,plain,
! [X0] :
( cons(sK24,sK18) != app(X0,sK18)
| cons(sK24,nil) = X0
| ~ ssList(cons(sK24,nil))
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f6531]) ).
fof(f6727,plain,
! [X0] :
( frontsegP(cons(sK24,sK18),X0)
| ~ frontsegP(cons(sK24,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6710,f378]) ).
fof(f6710,plain,
! [X0] :
( frontsegP(cons(sK24,sK18),X0)
| ~ frontsegP(cons(sK24,nil),X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(cons(sK24,nil)) ),
inference(superposition,[],[f599,f6531]) ).
fof(f6726,plain,
! [X0] :
( rearsegP(cons(sK24,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK24,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f6709,f378]) ).
fof(f6709,plain,
! [X0] :
( rearsegP(cons(sK24,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK24,nil))
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(superposition,[],[f598,f6531]) ).
fof(f6724,plain,
( nil != cons(sK24,sK18)
| nil = cons(sK24,nil)
| ~ ssList(cons(sK24,nil)) ),
inference(subsumption_resolution,[],[f6708,f378]) ).
fof(f6708,plain,
( nil != cons(sK24,sK18)
| nil = cons(sK24,nil)
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil)) ),
inference(superposition,[],[f592,f6531]) ).
fof(f6720,plain,
! [X0] :
( memberP(cons(sK24,sK18),X0)
| ~ memberP(sK18,X0)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6705,f378]) ).
fof(f6705,plain,
! [X0] :
( memberP(cons(sK24,sK18),X0)
| ~ memberP(sK18,X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f455,f6531]) ).
fof(f6719,plain,
! [X0] :
( memberP(cons(sK24,sK18),X0)
| ~ memberP(cons(sK24,nil),X0)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6704,f378]) ).
fof(f6704,plain,
! [X0] :
( memberP(cons(sK24,sK18),X0)
| ~ memberP(cons(sK24,nil),X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f454,f6531]) ).
fof(f6718,plain,
! [X0] :
( ~ memberP(cons(sK24,sK18),X0)
| memberP(cons(sK24,nil),X0)
| memberP(sK18,X0)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f6703,f378]) ).
fof(f6703,plain,
! [X0] :
( ~ memberP(cons(sK24,sK18),X0)
| memberP(cons(sK24,nil),X0)
| memberP(sK18,X0)
| ~ ssList(sK18)
| ~ ssList(cons(sK24,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f453,f6531]) ).
fof(f6702,plain,
( sK18 != cons(sK24,sK18)
| nil = cons(sK24,nil)
| ~ ssList(cons(sK24,nil)) ),
inference(superposition,[],[f4011,f6531]) ).
fof(f6531,plain,
cons(sK24,sK18) = app(cons(sK24,nil),sK18),
inference(resolution,[],[f1800,f384]) ).
fof(f6652,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK31(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK31(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
inference(resolution,[],[f618,f1039]) ).
fof(f6651,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK30(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK30(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
inference(resolution,[],[f618,f1038]) ).
fof(f6650,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK31(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK31(app(X1,cons(X3,cons(X2,X0)))),sK18)) ),
inference(resolution,[],[f618,f1009]) ).
fof(f6649,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK30(app(X1,cons(X3,cons(X2,X0)))) = hd(cons(sK30(app(X1,cons(X3,cons(X2,X0)))),sK18)) ),
inference(resolution,[],[f618,f1008]) ).
fof(f6648,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK19 = tl(cons(sK31(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
inference(resolution,[],[f618,f985]) ).
fof(f6647,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK19 = tl(cons(sK30(app(X1,cons(X3,cons(X2,X0)))),sK19)) ),
inference(resolution,[],[f618,f984]) ).
fof(f6646,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK18 = tl(cons(sK31(app(X1,cons(X3,cons(X2,X0)))),sK18)) ),
inference(resolution,[],[f618,f929]) ).
fof(f6645,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK18 = tl(cons(sK30(app(X1,cons(X3,cons(X2,X0)))),sK18)) ),
inference(resolution,[],[f618,f928]) ).
fof(f6644,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK33(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK33(app(X1,cons(X3,cons(X2,X0))))) ),
inference(resolution,[],[f618,f715]) ).
fof(f6643,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK32(app(X1,cons(X3,cons(X2,X0)))) = app(nil,sK32(app(X1,cons(X3,cons(X2,X0))))) ),
inference(resolution,[],[f618,f714]) ).
fof(f6642,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK33(app(X1,cons(X3,cons(X2,X0)))) = app(sK33(app(X1,cons(X3,cons(X2,X0)))),nil) ),
inference(resolution,[],[f618,f688]) ).
fof(f6641,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| sK32(app(X1,cons(X3,cons(X2,X0)))) = app(sK32(app(X1,cons(X3,cons(X2,X0)))),nil) ),
inference(resolution,[],[f618,f687]) ).
fof(f6640,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| ~ equalelemsP(app(X1,cons(X3,cons(X2,X0))))
| ~ ssList(app(X1,cons(X3,cons(X2,X0)))) ),
inference(resolution,[],[f618,f669]) ).
fof(f6639,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssItem(X3)
| X2 = X3
| app(X1,cons(X3,cons(X2,X0))) = app(sK32(app(X1,cons(X3,cons(X2,X0)))),cons(sK30(app(X1,cons(X3,cons(X2,X0)))),cons(sK31(app(X1,cons(X3,cons(X2,X0)))),sK33(app(X1,cons(X3,cons(X2,X0))))))) ),
inference(resolution,[],[f618,f484]) ).
fof(f6551,plain,
! [X0] :
( cons(sK60(X0),sK18) = app(cons(sK60(X0),nil),sK18)
| sP16(X0) ),
inference(resolution,[],[f1800,f549]) ).
fof(f6550,plain,
! [X0] :
( cons(sK59(X0),sK18) = app(cons(sK59(X0),nil),sK18)
| sP16(X0) ),
inference(resolution,[],[f1800,f548]) ).
fof(f6549,plain,
! [X0] :
( cons(sK55(X0),sK18) = app(cons(sK55(X0),nil),sK18)
| sP14(X0) ),
inference(resolution,[],[f1800,f538]) ).
fof(f6548,plain,
! [X0] :
( cons(sK54(X0),sK18) = app(cons(sK54(X0),nil),sK18)
| sP14(X0) ),
inference(resolution,[],[f1800,f537]) ).
fof(f6547,plain,
! [X0] :
( cons(sK50(X0),sK18) = app(cons(sK50(X0),nil),sK18)
| sP12(X0) ),
inference(resolution,[],[f1800,f526]) ).
fof(f6546,plain,
! [X0] :
( cons(sK49(X0),sK18) = app(cons(sK49(X0),nil),sK18)
| sP12(X0) ),
inference(resolution,[],[f1800,f525]) ).
fof(f6545,plain,
! [X0] :
( cons(sK45(X0),sK18) = app(cons(sK45(X0),nil),sK18)
| sP10(X0) ),
inference(resolution,[],[f1800,f514]) ).
fof(f6544,plain,
! [X0] :
( cons(sK44(X0),sK18) = app(cons(sK44(X0),nil),sK18)
| sP10(X0) ),
inference(resolution,[],[f1800,f513]) ).
fof(f6543,plain,
! [X0] :
( cons(sK40(X0),sK18) = app(cons(sK40(X0),nil),sK18)
| sP8(X0) ),
inference(resolution,[],[f1800,f502]) ).
fof(f6542,plain,
! [X0] :
( cons(sK39(X0),sK18) = app(cons(sK39(X0),nil),sK18)
| sP8(X0) ),
inference(resolution,[],[f1800,f501]) ).
fof(f6541,plain,
! [X0] :
( cons(sK35(X0),sK18) = app(cons(sK35(X0),nil),sK18)
| sP6(X0) ),
inference(resolution,[],[f1800,f491]) ).
fof(f6540,plain,
! [X0] :
( cons(sK34(X0),sK18) = app(cons(sK34(X0),nil),sK18)
| sP6(X0) ),
inference(resolution,[],[f1800,f490]) ).
fof(f6539,plain,
! [X0] :
( cons(sK31(X0),sK18) = app(cons(sK31(X0),nil),sK18)
| sP4(X0) ),
inference(resolution,[],[f1800,f481]) ).
fof(f6538,plain,
! [X0] :
( cons(sK30(X0),sK18) = app(cons(sK30(X0),nil),sK18)
| sP4(X0) ),
inference(resolution,[],[f1800,f480]) ).
fof(f6537,plain,
! [X0] :
( cons(sK29(X0),sK18) = app(cons(sK29(X0),nil),sK18)
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1800,f474]) ).
fof(f6536,plain,
! [X0] :
( cons(sK27(X0),sK18) = app(cons(sK27(X0),nil),sK18)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1800,f470]) ).
fof(f6532,plain,
! [X0] :
( cons(sK26(X0),sK18) = app(cons(sK26(X0),nil),sK18)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1800,f465]) ).
fof(f6526,plain,
! [X0] :
( cons(hd(X0),sK18) = app(cons(hd(X0),nil),sK18)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1800,f467]) ).
fof(f1800,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK18) = app(cons(X0,nil),sK18) ),
inference(resolution,[],[f567,f378]) ).
fof(f6410,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
inference(resolution,[],[f637,f1041]) ).
fof(f6409,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
inference(resolution,[],[f637,f1040]) ).
fof(f6408,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK18)) ),
inference(resolution,[],[f637,f1011]) ).
fof(f6407,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = hd(cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK18)) ),
inference(resolution,[],[f637,f1010]) ).
fof(f6406,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK19 = tl(cons(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
inference(resolution,[],[f637,f987]) ).
fof(f6405,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK19 = tl(cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK19)) ),
inference(resolution,[],[f637,f986]) ).
fof(f6404,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK18 = tl(cons(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK18)) ),
inference(resolution,[],[f637,f931]) ).
fof(f6403,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK18 = tl(cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK18)) ),
inference(resolution,[],[f637,f930]) ).
fof(f6402,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK38(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK38(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
inference(resolution,[],[f637,f718]) ).
fof(f6401,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK37(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK37(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
inference(resolution,[],[f637,f717]) ).
fof(f6400,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(nil,sK36(app(app(X1,cons(X2,X0)),cons(X2,X3)))) ),
inference(resolution,[],[f637,f716]) ).
fof(f6399,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK38(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK38(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
inference(resolution,[],[f637,f691]) ).
fof(f6398,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK37(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK37(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
inference(resolution,[],[f637,f690]) ).
fof(f6397,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))) = app(sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))),nil) ),
inference(resolution,[],[f637,f689]) ).
fof(f6396,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| ~ duplicatefreeP(app(app(X1,cons(X2,X0)),cons(X2,X3)))
| ~ ssList(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
inference(resolution,[],[f637,f670]) ).
fof(f6395,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))) = sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))) ),
inference(resolution,[],[f637,f496]) ).
fof(f6394,plain,
! [X2,X3,X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| ~ ssItem(X2)
| ~ ssList(X3)
| app(app(X1,cons(X2,X0)),cons(X2,X3)) = app(app(sK36(app(app(X1,cons(X2,X0)),cons(X2,X3))),cons(sK34(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK37(app(app(X1,cons(X2,X0)),cons(X2,X3))))),cons(sK35(app(app(X1,cons(X2,X0)),cons(X2,X3))),sK38(app(app(X1,cons(X2,X0)),cons(X2,X3))))) ),
inference(resolution,[],[f637,f495]) ).
fof(f6370,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(sK69(nil,nil),X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f6254,f400]) ).
fof(f6254,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(sK69(nil,nil),X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f605,f2740]) ).
fof(f6323,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(sK19,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6322,f379]) ).
fof(f6322,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(sK19,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f6238,f400]) ).
fof(f6238,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(sK19,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(sK19) ),
inference(superposition,[],[f605,f711]) ).
fof(f6319,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6318,f378]) ).
fof(f6318,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(sK18) ),
inference(subsumption_resolution,[],[f6236,f400]) ).
fof(f6236,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(sK18,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(sK18) ),
inference(superposition,[],[f605,f710]) ).
fof(f6303,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f425,f640,f618,f637,f621,f622,f623,f624,f625,f626,f627,f628,f629,f575,f631,f632,f633,f636,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f473,f881,f852,f854,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1451,f815,f1431,f855,f1428,f1339,f1425,f591,f592,f413,f1632,f1628,f1636,f1638,f1640,f415,f1710,f416,f1727,f1736,f567,f1796,f1797,f1798,f1799,f1800,f1801,f1834,f1835,f1805,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f576,f1733,f577,f578,f2110,f2152,f2231,f2340,f433,f454,f455,f573,f2556,f2558,f2559,f2560,f2562,f2563,f2598,f2599,f2567,f2571,f2572,f2573,f2574,f2575,f2576,f2577,f2578,f2579,f2580,f2581,f2582,f2583,f2584,f2585,f2586,f2587,f2588,f2589,f2590,f2591,f2592,f2593,f2594,f2595,f2596,f2597,f582,f2651,f2652,f2656,f589,f2737,f2738,f2739,f598,f2848,f2849,f2857,f2899,f2900,f2859,f2905,f2906,f599,f2954,f2955,f2966,f3032,f3033,f2968,f3038,f3039,f426,f3051,f427,f3094,f428,f3132,f3137,f3139,f429,f3221,f3223,f430,f3264,f3266,f484,f2655,f3414,f3415,f3416,f3417,f2740,f3429,f3430,f3431,f3432,f602,f603,f3540,f3541,f3545,f3546,f604,f3648,f3649,f3651,f3659,f574,f3766,f3768,f3769,f3770,f3772,f3773,f3816,f3817,f3777,f3781,f3782,f3783,f3784,f3785,f3786,f3787,f3788,f3789,f3790,f3791,f3792,f3793,f3794,f3795,f3796,f3797,f3798,f3799,f3800,f3801,f3802,f3803,f3804,f3809,f3810,f3811,f600,f4001,f4061,f4063,f4084,f4094,f4097,f601,f4421,f4437,f4439,f4470,f4474,f4509,f638,f4590,f4592,f4594,f431,f3978,f3980,f4011,f4014,f453,f4349,f4351,f4382,f594,f4924,f4926,f4927,f4928,f4930,f4931,f4976,f4977,f4935,f4939,f4940,f4941,f4942,f4943,f4944,f4945,f4946,f4947,f4948,f4949,f4950,f4951,f4952,f4953,f4954,f4955,f4956,f4957,f4958,f4959,f4960,f4961,f4962,f4968,f4969,f4970,f4386,f597,f5087,f5089,f5090,f5091,f5094,f5095,f5140,f5141,f5099,f5103,f5104,f5105,f5106,f5107,f5108,f5109,f5110,f5111,f5112,f5113,f5114,f5115,f5116,f5117,f5118,f5119,f5120,f5121,f5122,f5123,f5124,f5125,f5126,f5132,f5133,f5134,f434,f435,f495,f506,f518,f530,f542,f5690,f553,f5752,f570,f5846,f5847,f5848,f5849,f5857,f586,f5899,f5900,f5896,f595,f596,f605,f6261,f6260,f6259,f6268,f6276,f6278,f6302]) ).
fof(f6302,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil))
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6229,f400]) ).
fof(f6229,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil))
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f605,f2655]) ).
fof(f6278,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6277,f400]) ).
fof(f6277,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f6219,f379]) ).
fof(f6219,plain,
! [X0,X1] :
( segmentP(app(sK19,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f605,f684]) ).
fof(f6276,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6275,f400]) ).
fof(f6275,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f6218,f378]) ).
fof(f6218,plain,
! [X0,X1] :
( segmentP(app(sK18,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f605,f683]) ).
fof(f6268,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f6258,f400]) ).
fof(f6258,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f6214]) ).
fof(f6214,plain,
! [X0,X1] :
( segmentP(app(nil,X0),X1)
| ~ segmentP(nil,X1)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(superposition,[],[f605,f644]) ).
fof(f6259,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2)) ),
inference(duplicate_literal_removal,[],[f6210]) ).
fof(f6210,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = X1
| ~ segmentP(X1,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X1) ),
inference(resolution,[],[f605,f577]) ).
fof(f6260,plain,
! [X2,X3,X0,X1,X4] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) ),
inference(duplicate_literal_removal,[],[f6209]) ).
fof(f6209,plain,
! [X2,X3,X0,X1,X4] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| segmentP(X4,X1)
| ~ segmentP(X4,app(app(X3,X0),X2))
| ~ ssList(X1)
| ~ ssList(app(app(X3,X0),X2))
| ~ ssList(X4) ),
inference(resolution,[],[f605,f602]) ).
fof(f6261,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK67(app(app(X3,X0),X2),X1),X1),sK68(app(app(X3,X0),X2),X1))
| ~ ssList(app(app(X3,X0),X2)) ),
inference(duplicate_literal_removal,[],[f6208]) ).
fof(f6208,plain,
! [X2,X3,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X0)
| app(app(X3,X0),X2) = app(app(sK67(app(app(X3,X0),X2),X1),X1),sK68(app(app(X3,X0),X2),X1))
| ~ ssList(X1)
| ~ ssList(app(app(X3,X0),X2)) ),
inference(resolution,[],[f605,f586]) ).
fof(f605,plain,
! [X2,X3,X0,X1] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f222]) ).
fof(f222,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax56) ).
fof(f596,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X0 = X1
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( ( X0 = X1
& X2 = X3 )
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3) )
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f19]) ).
fof(f19,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> ! [X3] :
( ssItem(X3)
=> ( cons(X2,X0) = cons(X3,X1)
=> ( X0 = X1
& X2 = X3 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax19) ).
fof(f595,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X2 = X3
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f5896,plain,
! [X0] :
( app(app(sK67(X0,X0),X0),sK68(X0,X0)) = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f5895]) ).
fof(f5895,plain,
! [X0] :
( app(app(sK67(X0,X0),X0),sK68(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f586,f460]) ).
fof(f5900,plain,
! [X0] :
( app(app(sK67(X0,nil),nil),sK68(X0,nil)) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f5897,f400]) ).
fof(f5897,plain,
! [X0] :
( app(app(sK67(X0,nil),nil),sK68(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f5894]) ).
fof(f5894,plain,
! [X0] :
( app(app(sK67(X0,nil),nil),sK68(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f586,f456]) ).
fof(f5899,plain,
nil = app(app(sK67(nil,nil),nil),sK68(nil,nil)),
inference(subsumption_resolution,[],[f5898,f400]) ).
fof(f5898,plain,
( nil = app(app(sK67(nil,nil),nil),sK68(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f5893]) ).
fof(f5893,plain,
( nil = app(app(sK67(nil,nil),nil),sK68(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f586,f641]) ).
fof(f586,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f5849,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X2),cons(X2,sK65(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f5842,f572]) ).
fof(f5842,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X2),cons(X2,sK65(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f5828]) ).
fof(f5828,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X2),cons(X2,sK65(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X0,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) ),
inference(resolution,[],[f570,f454]) ).
fof(f5848,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X2),cons(X2,sK65(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f5843,f572]) ).
fof(f5843,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X2),cons(X2,sK65(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f5827]) ).
fof(f5827,plain,
! [X2,X0,X1] :
( app(X0,X1) = app(sK64(app(X0,X1),X2),cons(X2,sK65(app(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(app(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2) ),
inference(resolution,[],[f570,f455]) ).
fof(f5847,plain,
! [X2,X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),X2),cons(X2,sK65(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f5844,f562]) ).
fof(f5844,plain,
! [X2,X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),X2),cons(X2,sK65(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f5826]) ).
fof(f5826,plain,
! [X2,X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),X2),cons(X2,sK65(cons(X0,X1),X2)))
| ~ ssItem(X2)
| ~ ssList(cons(X0,X1))
| ~ memberP(X1,X2)
| ~ ssList(X1)
| ~ ssItem(X0)
| ~ ssItem(X2) ),
inference(resolution,[],[f570,f433]) ).
fof(f5846,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),X0),cons(X0,sK65(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f5845,f562]) ).
fof(f5845,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),X0),cons(X0,sK65(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f5825]) ).
fof(f5825,plain,
! [X0,X1] :
( cons(X0,X1) = app(sK64(cons(X0,X1),X0),cons(X0,sK65(cons(X0,X1),X0)))
| ~ ssItem(X0)
| ~ ssList(cons(X0,X1))
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f570,f639]) ).
fof(f570,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f5752,plain,
! [X0] :
( app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f553,f677]) ).
fof(f5690,plain,
! [X0] :
( app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f542,f675]) ).
fof(f5134,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK69(X2,X3)) = app(X0,app(X1,sK69(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f588]) ).
fof(f5133,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK68(X2,X3)) = app(X0,app(X1,sK68(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f585]) ).
fof(f5132,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK67(X2,X3)) = app(X0,app(X1,sK67(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ segmentP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f584]) ).
fof(f5126,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK66(X2,X3)) = app(X0,app(X1,sK66(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f581]) ).
fof(f5125,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK65(X2,X3)) = app(X0,app(X1,sK65(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f569]) ).
fof(f5124,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),sK64(X2,X3)) = app(X0,app(X1,sK64(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ memberP(X2,X3)
| ~ ssItem(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f568]) ).
fof(f5123,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK63(X2)) = app(X0,app(X1,sK63(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) ),
inference(resolution,[],[f597,f552]) ).
fof(f5122,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK62(X2)) = app(X0,app(X1,sK62(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) ),
inference(resolution,[],[f597,f551]) ).
fof(f5121,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK61(X2)) = app(X0,app(X1,sK61(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP16(X2) ),
inference(resolution,[],[f597,f550]) ).
fof(f5120,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK58(X2)) = app(X0,app(X1,sK58(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) ),
inference(resolution,[],[f597,f541]) ).
fof(f5119,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK57(X2)) = app(X0,app(X1,sK57(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) ),
inference(resolution,[],[f597,f540]) ).
fof(f5118,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK56(X2)) = app(X0,app(X1,sK56(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP14(X2) ),
inference(resolution,[],[f597,f539]) ).
fof(f5117,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK53(X2)) = app(X0,app(X1,sK53(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) ),
inference(resolution,[],[f597,f529]) ).
fof(f5116,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK52(X2)) = app(X0,app(X1,sK52(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) ),
inference(resolution,[],[f597,f528]) ).
fof(f5115,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK51(X2)) = app(X0,app(X1,sK51(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP12(X2) ),
inference(resolution,[],[f597,f527]) ).
fof(f5114,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK48(X2)) = app(X0,app(X1,sK48(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) ),
inference(resolution,[],[f597,f517]) ).
fof(f5113,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK47(X2)) = app(X0,app(X1,sK47(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) ),
inference(resolution,[],[f597,f516]) ).
fof(f5112,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK46(X2)) = app(X0,app(X1,sK46(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP10(X2) ),
inference(resolution,[],[f597,f515]) ).
fof(f5111,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK43(X2)) = app(X0,app(X1,sK43(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) ),
inference(resolution,[],[f597,f505]) ).
fof(f5110,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK42(X2)) = app(X0,app(X1,sK42(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) ),
inference(resolution,[],[f597,f504]) ).
fof(f5109,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK41(X2)) = app(X0,app(X1,sK41(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP8(X2) ),
inference(resolution,[],[f597,f503]) ).
fof(f5108,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK38(X2)) = app(X0,app(X1,sK38(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) ),
inference(resolution,[],[f597,f494]) ).
fof(f5107,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK37(X2)) = app(X0,app(X1,sK37(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) ),
inference(resolution,[],[f597,f493]) ).
fof(f5106,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK36(X2)) = app(X0,app(X1,sK36(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP6(X2) ),
inference(resolution,[],[f597,f492]) ).
fof(f5105,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK33(X2)) = app(X0,app(X1,sK33(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP4(X2) ),
inference(resolution,[],[f597,f483]) ).
fof(f5104,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK32(X2)) = app(X0,app(X1,sK32(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| sP4(X2) ),
inference(resolution,[],[f597,f482]) ).
fof(f5103,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK28(X2)) = app(X0,app(X1,sK28(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ),
inference(resolution,[],[f597,f472]) ).
fof(f5099,plain,
! [X2,X0,X1] :
( app(app(X0,X1),sK25(X2)) = app(X0,app(X1,sK25(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ),
inference(resolution,[],[f597,f464]) ).
fof(f5141,plain,
! [X0,X1] :
( app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f5097,f382]) ).
fof(f5097,plain,
! [X0,X1] :
( app(app(X0,X1),sK21) = app(X0,app(X1,sK21))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f597,f381]) ).
fof(f5140,plain,
! [X0,X1] :
( app(app(X0,X1),sK18) = app(X0,app(X1,sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f5096,f383]) ).
fof(f5096,plain,
! [X0,X1] :
( app(app(X0,X1),sK20) = app(X0,app(X1,sK20))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f597,f380]) ).
fof(f5095,plain,
! [X0,X1] :
( app(app(X0,X1),sK19) = app(X0,app(X1,sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f597,f379]) ).
fof(f5094,plain,
! [X0,X1] :
( app(app(X0,X1),sK18) = app(X0,app(X1,sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f597,f378]) ).
fof(f5091,plain,
! [X2,X0,X1] :
( app(app(X0,X1),tl(X2)) = app(X0,app(X1,tl(X2)))
| ~ ssList(X1)
| ~ ssList(X0)
| nil = X2
| ~ ssList(X2) ),
inference(resolution,[],[f597,f468]) ).
fof(f5090,plain,
! [X0,X1] :
( app(app(X0,X1),nil) = app(X0,app(X1,nil))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f597,f400]) ).
fof(f5089,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),app(X2,X3)) = app(X0,app(X1,app(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(resolution,[],[f597,f572]) ).
fof(f5087,plain,
! [X2,X3,X0,X1] :
( app(app(X0,X1),cons(X2,X3)) = app(X0,app(X1,cons(X2,X3)))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| ~ ssList(X3) ),
inference(resolution,[],[f597,f562]) ).
fof(f597,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax82) ).
fof(f4386,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4385,f400]) ).
fof(f4385,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4273,f379]) ).
fof(f4273,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(sK19)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f601,f711]) ).
fof(f4970,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK69(X1,X2),X3)) = app(cons(X0,sK69(X1,X2)),X3)
| ~ ssList(X3)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f588]) ).
fof(f4969,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK68(X1,X2),X3)) = app(cons(X0,sK68(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f585]) ).
fof(f4968,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK67(X1,X2),X3)) = app(cons(X0,sK67(X1,X2)),X3)
| ~ ssList(X3)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f584]) ).
fof(f4962,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK66(X1,X2),X3)) = app(cons(X0,sK66(X1,X2)),X3)
| ~ ssList(X3)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f581]) ).
fof(f4961,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK65(X1,X2),X3)) = app(cons(X0,sK65(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f569]) ).
fof(f4960,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK64(X1,X2),X3)) = app(cons(X0,sK64(X1,X2)),X3)
| ~ ssList(X3)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f568]) ).
fof(f4959,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK63(X1),X2)) = app(cons(X0,sK63(X1)),X2)
| ~ ssList(X2)
| sP16(X1) ),
inference(resolution,[],[f594,f552]) ).
fof(f4958,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK62(X1),X2)) = app(cons(X0,sK62(X1)),X2)
| ~ ssList(X2)
| sP16(X1) ),
inference(resolution,[],[f594,f551]) ).
fof(f4957,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK61(X1),X2)) = app(cons(X0,sK61(X1)),X2)
| ~ ssList(X2)
| sP16(X1) ),
inference(resolution,[],[f594,f550]) ).
fof(f4956,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK58(X1),X2)) = app(cons(X0,sK58(X1)),X2)
| ~ ssList(X2)
| sP14(X1) ),
inference(resolution,[],[f594,f541]) ).
fof(f4955,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK57(X1),X2)) = app(cons(X0,sK57(X1)),X2)
| ~ ssList(X2)
| sP14(X1) ),
inference(resolution,[],[f594,f540]) ).
fof(f4954,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK56(X1),X2)) = app(cons(X0,sK56(X1)),X2)
| ~ ssList(X2)
| sP14(X1) ),
inference(resolution,[],[f594,f539]) ).
fof(f4953,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK53(X1),X2)) = app(cons(X0,sK53(X1)),X2)
| ~ ssList(X2)
| sP12(X1) ),
inference(resolution,[],[f594,f529]) ).
fof(f4952,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK52(X1),X2)) = app(cons(X0,sK52(X1)),X2)
| ~ ssList(X2)
| sP12(X1) ),
inference(resolution,[],[f594,f528]) ).
fof(f4951,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK51(X1),X2)) = app(cons(X0,sK51(X1)),X2)
| ~ ssList(X2)
| sP12(X1) ),
inference(resolution,[],[f594,f527]) ).
fof(f4950,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK48(X1),X2)) = app(cons(X0,sK48(X1)),X2)
| ~ ssList(X2)
| sP10(X1) ),
inference(resolution,[],[f594,f517]) ).
fof(f4949,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK47(X1),X2)) = app(cons(X0,sK47(X1)),X2)
| ~ ssList(X2)
| sP10(X1) ),
inference(resolution,[],[f594,f516]) ).
fof(f4948,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK46(X1),X2)) = app(cons(X0,sK46(X1)),X2)
| ~ ssList(X2)
| sP10(X1) ),
inference(resolution,[],[f594,f515]) ).
fof(f4947,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK43(X1),X2)) = app(cons(X0,sK43(X1)),X2)
| ~ ssList(X2)
| sP8(X1) ),
inference(resolution,[],[f594,f505]) ).
fof(f4946,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK42(X1),X2)) = app(cons(X0,sK42(X1)),X2)
| ~ ssList(X2)
| sP8(X1) ),
inference(resolution,[],[f594,f504]) ).
fof(f4945,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK41(X1),X2)) = app(cons(X0,sK41(X1)),X2)
| ~ ssList(X2)
| sP8(X1) ),
inference(resolution,[],[f594,f503]) ).
fof(f4944,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK38(X1),X2)) = app(cons(X0,sK38(X1)),X2)
| ~ ssList(X2)
| sP6(X1) ),
inference(resolution,[],[f594,f494]) ).
fof(f4943,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK37(X1),X2)) = app(cons(X0,sK37(X1)),X2)
| ~ ssList(X2)
| sP6(X1) ),
inference(resolution,[],[f594,f493]) ).
fof(f4942,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK36(X1),X2)) = app(cons(X0,sK36(X1)),X2)
| ~ ssList(X2)
| sP6(X1) ),
inference(resolution,[],[f594,f492]) ).
fof(f4941,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK33(X1),X2)) = app(cons(X0,sK33(X1)),X2)
| ~ ssList(X2)
| sP4(X1) ),
inference(resolution,[],[f594,f483]) ).
fof(f4940,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK32(X1),X2)) = app(cons(X0,sK32(X1)),X2)
| ~ ssList(X2)
| sP4(X1) ),
inference(resolution,[],[f594,f482]) ).
fof(f4939,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK28(X1),X2)) = app(cons(X0,sK28(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f594,f472]) ).
fof(f4935,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK25(X1),X2)) = app(cons(X0,sK25(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f594,f464]) ).
fof(f4977,plain,
! [X0,X1] :
( cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f4933,f382]) ).
fof(f4933,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK21,X1)) = app(cons(X0,sK21),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f381]) ).
fof(f4976,plain,
! [X0,X1] :
( cons(X0,app(sK18,X1)) = app(cons(X0,sK18),X1)
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(forward_demodulation,[],[f4932,f383]) ).
fof(f4932,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK20,X1)) = app(cons(X0,sK20),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f380]) ).
fof(f4931,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK19,X1)) = app(cons(X0,sK19),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f379]) ).
fof(f4930,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(sK18,X1)) = app(cons(X0,sK18),X1)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f378]) ).
fof(f4928,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(tl(X1),X2)) = app(cons(X0,tl(X1)),X2)
| ~ ssList(X2)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f594,f468]) ).
fof(f4927,plain,
! [X0,X1] :
( ~ ssItem(X0)
| app(cons(X0,nil),X1) = cons(X0,app(nil,X1))
| ~ ssList(X1) ),
inference(resolution,[],[f594,f400]) ).
fof(f4926,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(app(X1,X2),X3)) = app(cons(X0,app(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f594,f572]) ).
fof(f4924,plain,
! [X2,X3,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(cons(X1,X2),X3)) = app(cons(X0,cons(X1,X2)),X3)
| ~ ssList(X3)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f594,f562]) ).
fof(f594,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f204]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f27]) ).
fof(f27,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssItem(X2)
=> cons(X2,app(X1,X0)) = app(cons(X2,X1),X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax27) ).
fof(f4382,plain,
! [X0] :
( app(nil,X0) != sK18
| sK18 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4381,f400]) ).
fof(f4381,plain,
! [X0] :
( app(nil,X0) != sK18
| sK18 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4271,f378]) ).
fof(f4271,plain,
! [X0] :
( app(nil,X0) != sK18
| sK18 = X0
| ~ ssList(sK18)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f601,f710]) ).
fof(f4351,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4350,f379]) ).
fof(f4350,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4256,f400]) ).
fof(f4256,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(superposition,[],[f601,f684]) ).
fof(f4349,plain,
! [X0] :
( sK18 != app(sK18,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4348,f378]) ).
fof(f4348,plain,
! [X0] :
( sK18 != app(sK18,X0)
| nil = X0
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4255,f400]) ).
fof(f4255,plain,
! [X0] :
( sK18 != app(sK18,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(superposition,[],[f601,f683]) ).
fof(f4014,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4013,f379]) ).
fof(f4013,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3905,f400]) ).
fof(f3905,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f711]) ).
fof(f4011,plain,
! [X0] :
( sK18 != app(X0,sK18)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4010,f378]) ).
fof(f4010,plain,
! [X0] :
( sK18 != app(X0,sK18)
| nil = X0
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3903,f400]) ).
fof(f3903,plain,
! [X0] :
( sK18 != app(X0,sK18)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f710]) ).
fof(f3980,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3979,f400]) ).
fof(f3979,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3889,f379]) ).
fof(f3889,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(sK19)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f684]) ).
fof(f3978,plain,
! [X0] :
( app(X0,nil) != sK18
| sK18 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3977,f400]) ).
fof(f3977,plain,
! [X0] :
( app(X0,nil) != sK18
| sK18 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3888,f378]) ).
fof(f3888,plain,
! [X0] :
( app(X0,nil) != sK18
| sK18 = X0
| ~ ssList(sK18)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f683]) ).
fof(f4594,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0)) ),
inference(subsumption_resolution,[],[f4593,f562]) ).
fof(f4593,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0))
| ~ ssList(cons(X2,X1)) ),
inference(subsumption_resolution,[],[f4568,f562]) ).
fof(f4568,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = cons(X2,X1)
| ~ frontsegP(cons(X2,X1),cons(X2,X0))
| ~ ssList(cons(X2,X0))
| ~ ssList(cons(X2,X1)) ),
inference(resolution,[],[f638,f578]) ).
fof(f4592,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK69(cons(X2,X0),cons(X2,X1))) ),
inference(subsumption_resolution,[],[f4591,f562]) ).
fof(f4591,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK69(cons(X2,X0),cons(X2,X1)))
| ~ ssList(cons(X2,X0)) ),
inference(subsumption_resolution,[],[f4567,f562]) ).
fof(f4567,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| cons(X2,X0) = app(cons(X2,X1),sK69(cons(X2,X0),cons(X2,X1)))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0)) ),
inference(resolution,[],[f638,f589]) ).
fof(f4590,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f4589,f562]) ).
fof(f4589,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(cons(X2,X0))
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f4566,f562]) ).
fof(f4566,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| frontsegP(X3,cons(X2,X1))
| ~ frontsegP(X3,cons(X2,X0))
| ~ ssList(cons(X2,X1))
| ~ ssList(cons(X2,X0))
| ~ ssList(X3) ),
inference(resolution,[],[f638,f604]) ).
fof(f4509,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f4332,f400]) ).
fof(f4332,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f601,f2740]) ).
fof(f4474,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4473,f379]) ).
fof(f4473,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f4316,f400]) ).
fof(f4316,plain,
! [X0] :
( app(nil,X0) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK19) ),
inference(superposition,[],[f601,f711]) ).
fof(f4470,plain,
! [X0] :
( app(nil,X0) != sK18
| sK18 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4469,f378]) ).
fof(f4469,plain,
! [X0] :
( app(nil,X0) != sK18
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(subsumption_resolution,[],[f4314,f400]) ).
fof(f4314,plain,
! [X0] :
( app(nil,X0) != sK18
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK18) ),
inference(superposition,[],[f601,f710]) ).
fof(f4439,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4438,f400]) ).
fof(f4438,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4299,f379]) ).
fof(f4299,plain,
! [X0] :
( sK19 != app(sK19,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(nil) ),
inference(superposition,[],[f601,f684]) ).
fof(f4437,plain,
! [X0] :
( sK18 != app(sK18,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4436,f400]) ).
fof(f4436,plain,
! [X0] :
( sK18 != app(sK18,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f4298,f378]) ).
fof(f4298,plain,
! [X0] :
( sK18 != app(sK18,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(nil) ),
inference(superposition,[],[f601,f683]) ).
fof(f4421,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(sK69(nil,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4289,f400]) ).
fof(f4289,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f601,f2740]) ).
fof(f601,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax80) ).
fof(f4097,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4096,f400]) ).
fof(f4096,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3946,f379]) ).
fof(f3946,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK19)
| ~ ssList(nil) ),
inference(superposition,[],[f600,f711]) ).
fof(f4094,plain,
! [X0] :
( sK18 != app(X0,sK18)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4093,f400]) ).
fof(f4093,plain,
! [X0] :
( sK18 != app(X0,sK18)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3944,f378]) ).
fof(f3944,plain,
! [X0] :
( sK18 != app(X0,sK18)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(nil) ),
inference(superposition,[],[f600,f710]) ).
fof(f4084,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f3939,f400]) ).
fof(f3939,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f600,f2655]) ).
fof(f4063,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4062,f379]) ).
fof(f4062,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(subsumption_resolution,[],[f3930,f400]) ).
fof(f3930,plain,
! [X0] :
( app(X0,nil) != sK19
| sK19 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK19) ),
inference(superposition,[],[f600,f684]) ).
fof(f4061,plain,
! [X0] :
( app(X0,nil) != sK18
| sK18 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4060,f378]) ).
fof(f4060,plain,
! [X0] :
( app(X0,nil) != sK18
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(subsumption_resolution,[],[f3929,f400]) ).
fof(f3929,plain,
! [X0] :
( app(X0,nil) != sK18
| sK18 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK18) ),
inference(superposition,[],[f600,f683]) ).
fof(f4001,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(sK66(nil,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3898,f400]) ).
fof(f3898,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(sK66(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f600,f2655]) ).
fof(f600,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax79) ).
fof(f3811,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK69(X1,X2))) = app(tl(X0),sK69(X1,X2))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f588]) ).
fof(f3810,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK68(X1,X2))) = app(tl(X0),sK68(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f585]) ).
fof(f3809,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK67(X1,X2))) = app(tl(X0),sK67(X1,X2))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f584]) ).
fof(f3804,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK66(X1,X2))) = app(tl(X0),sK66(X1,X2))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f581]) ).
fof(f3803,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK65(X1,X2))) = app(tl(X0),sK65(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f569]) ).
fof(f3802,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,sK64(X1,X2))) = app(tl(X0),sK64(X1,X2))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f568]) ).
fof(f3801,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK63(X1))) = app(tl(X0),sK63(X1))
| ~ ssList(X0)
| sP16(X1) ),
inference(resolution,[],[f574,f552]) ).
fof(f3800,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK62(X1))) = app(tl(X0),sK62(X1))
| ~ ssList(X0)
| sP16(X1) ),
inference(resolution,[],[f574,f551]) ).
fof(f3799,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK61(X1))) = app(tl(X0),sK61(X1))
| ~ ssList(X0)
| sP16(X1) ),
inference(resolution,[],[f574,f550]) ).
fof(f3798,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK58(X1))) = app(tl(X0),sK58(X1))
| ~ ssList(X0)
| sP14(X1) ),
inference(resolution,[],[f574,f541]) ).
fof(f3797,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK57(X1))) = app(tl(X0),sK57(X1))
| ~ ssList(X0)
| sP14(X1) ),
inference(resolution,[],[f574,f540]) ).
fof(f3796,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK56(X1))) = app(tl(X0),sK56(X1))
| ~ ssList(X0)
| sP14(X1) ),
inference(resolution,[],[f574,f539]) ).
fof(f3795,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK53(X1))) = app(tl(X0),sK53(X1))
| ~ ssList(X0)
| sP12(X1) ),
inference(resolution,[],[f574,f529]) ).
fof(f3794,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK52(X1))) = app(tl(X0),sK52(X1))
| ~ ssList(X0)
| sP12(X1) ),
inference(resolution,[],[f574,f528]) ).
fof(f3793,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK51(X1))) = app(tl(X0),sK51(X1))
| ~ ssList(X0)
| sP12(X1) ),
inference(resolution,[],[f574,f527]) ).
fof(f3792,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK48(X1))) = app(tl(X0),sK48(X1))
| ~ ssList(X0)
| sP10(X1) ),
inference(resolution,[],[f574,f517]) ).
fof(f3791,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK47(X1))) = app(tl(X0),sK47(X1))
| ~ ssList(X0)
| sP10(X1) ),
inference(resolution,[],[f574,f516]) ).
fof(f3790,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK46(X1))) = app(tl(X0),sK46(X1))
| ~ ssList(X0)
| sP10(X1) ),
inference(resolution,[],[f574,f515]) ).
fof(f3789,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK43(X1))) = app(tl(X0),sK43(X1))
| ~ ssList(X0)
| sP8(X1) ),
inference(resolution,[],[f574,f505]) ).
fof(f3788,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK42(X1))) = app(tl(X0),sK42(X1))
| ~ ssList(X0)
| sP8(X1) ),
inference(resolution,[],[f574,f504]) ).
fof(f3787,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK41(X1))) = app(tl(X0),sK41(X1))
| ~ ssList(X0)
| sP8(X1) ),
inference(resolution,[],[f574,f503]) ).
fof(f3786,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK38(X1))) = app(tl(X0),sK38(X1))
| ~ ssList(X0)
| sP6(X1) ),
inference(resolution,[],[f574,f494]) ).
fof(f3785,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK37(X1))) = app(tl(X0),sK37(X1))
| ~ ssList(X0)
| sP6(X1) ),
inference(resolution,[],[f574,f493]) ).
fof(f3784,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK36(X1))) = app(tl(X0),sK36(X1))
| ~ ssList(X0)
| sP6(X1) ),
inference(resolution,[],[f574,f492]) ).
fof(f3783,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK33(X1))) = app(tl(X0),sK33(X1))
| ~ ssList(X0)
| sP4(X1) ),
inference(resolution,[],[f574,f483]) ).
fof(f3782,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK32(X1))) = app(tl(X0),sK32(X1))
| ~ ssList(X0)
| sP4(X1) ),
inference(resolution,[],[f574,f482]) ).
fof(f3781,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK28(X1))) = app(tl(X0),sK28(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f574,f472]) ).
fof(f3777,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK25(X1))) = app(tl(X0),sK25(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f574,f464]) ).
fof(f3817,plain,
! [X0] :
( tl(app(X0,sK19)) = app(tl(X0),sK19)
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3775,f382]) ).
fof(f3775,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK21)) = app(tl(X0),sK21)
| ~ ssList(X0) ),
inference(resolution,[],[f574,f381]) ).
fof(f3816,plain,
! [X0] :
( tl(app(X0,sK18)) = app(tl(X0),sK18)
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3774,f383]) ).
fof(f3774,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f574,f380]) ).
fof(f3773,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK19)) = app(tl(X0),sK19)
| ~ ssList(X0) ),
inference(resolution,[],[f574,f379]) ).
fof(f3772,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK18)) = app(tl(X0),sK18)
| ~ ssList(X0) ),
inference(resolution,[],[f574,f378]) ).
fof(f3770,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f574,f468]) ).
fof(f3769,plain,
! [X0] :
( nil = X0
| app(tl(X0),nil) = tl(app(X0,nil))
| ~ ssList(X0) ),
inference(resolution,[],[f574,f400]) ).
fof(f3768,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,app(X1,X2))) = app(tl(X0),app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f574,f572]) ).
fof(f3766,plain,
! [X2,X0,X1] :
( nil = X0
| tl(app(X0,cons(X1,X2))) = app(tl(X0),cons(X1,X2))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f574,f562]) ).
fof(f574,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f190]) ).
fof(f190,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax86) ).
fof(f3659,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK19)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3639,f379]) ).
fof(f3639,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK19)
| ~ ssList(X1)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3626]) ).
fof(f3626,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK19)
| ~ ssList(X1)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f604,f2968]) ).
fof(f3651,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK18)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3641,f378]) ).
fof(f3641,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK18)
| ~ ssList(X1)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3621]) ).
fof(f3621,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK18)
| ~ ssList(X1)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f604,f2966]) ).
fof(f3649,plain,
! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3644,f572]) ).
fof(f3644,plain,
! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3618]) ).
fof(f3618,plain,
! [X2,X3,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ frontsegP(X2,X1)
| ~ ssList(X3)
| ~ ssList(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f604,f599]) ).
fof(f3648,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3645,f572]) ).
fof(f3645,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3617]) ).
fof(f3617,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(app(X1,X2))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f604,f2231]) ).
fof(f604,plain,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f40]) ).
fof(f40,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( frontsegP(X1,X2)
& frontsegP(X0,X1) )
=> frontsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax40) ).
fof(f3546,plain,
! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(subsumption_resolution,[],[f3530,f572]) ).
fof(f3530,plain,
! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X3) ),
inference(duplicate_literal_removal,[],[f3516]) ).
fof(f3516,plain,
! [X2,X3,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X3))
| ~ ssList(X1)
| ~ ssList(app(X2,X3))
| ~ ssList(X0)
| ~ rearsegP(X3,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X3) ),
inference(resolution,[],[f603,f598]) ).
fof(f3545,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3531,f572]) ).
fof(f3531,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(duplicate_literal_removal,[],[f3515]) ).
fof(f3515,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(app(X2,X1))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f603,f2110]) ).
fof(f3541,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK19)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3535,f379]) ).
fof(f3535,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK19)
| ~ ssList(X1)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3511]) ).
fof(f3511,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK19)
| ~ ssList(X1)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f603,f2859]) ).
fof(f3540,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK18)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3536,f378]) ).
fof(f3536,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK18)
| ~ ssList(X1)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3510]) ).
fof(f3510,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK18)
| ~ ssList(X1)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f603,f2857]) ).
fof(f603,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f219]) ).
fof(f219,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f602,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f217]) ).
fof(f217,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax53) ).
fof(f3432,plain,
( rearsegP(nil,sK69(nil,nil))
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f3425,f400]) ).
fof(f3425,plain,
( rearsegP(nil,sK69(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f2110,f2740]) ).
fof(f3431,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ rearsegP(sK69(nil,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f3423,f400]) ).
fof(f3423,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ rearsegP(sK69(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f598,f2740]) ).
fof(f3430,plain,
( nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f3427,f400]) ).
fof(f3427,plain,
( nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil) ),
inference(trivial_inequality_removal,[],[f3421]) ).
fof(f3421,plain,
( nil != nil
| nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f591,f2740]) ).
fof(f3429,plain,
! [X0] :
( ~ memberP(sK69(nil,nil),X0)
| ~ ssList(sK69(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3428,f401]) ).
fof(f3428,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK69(nil,nil),X0)
| ~ ssList(sK69(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3419,f400]) ).
fof(f3419,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK69(nil,nil),X0)
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f455,f2740]) ).
fof(f2740,plain,
nil = app(nil,sK69(nil,nil)),
inference(subsumption_resolution,[],[f2734,f400]) ).
fof(f2734,plain,
( nil = app(nil,sK69(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2731]) ).
fof(f2731,plain,
( nil = app(nil,sK69(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f589,f643]) ).
fof(f3417,plain,
( frontsegP(nil,sK66(nil,nil))
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f3411,f400]) ).
fof(f3411,plain,
( frontsegP(nil,sK66(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f2231,f2655]) ).
fof(f3416,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ frontsegP(sK66(nil,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f3409,f400]) ).
fof(f3409,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ frontsegP(sK66(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f599,f2655]) ).
fof(f3415,plain,
( nil = sK66(nil,nil)
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f3412,f400]) ).
fof(f3412,plain,
( nil = sK66(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(trivial_inequality_removal,[],[f3407]) ).
fof(f3407,plain,
( nil != nil
| nil = sK66(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f592,f2655]) ).
fof(f3414,plain,
! [X0] :
( ~ memberP(sK66(nil,nil),X0)
| ~ ssList(sK66(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3413,f401]) ).
fof(f3413,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK66(nil,nil),X0)
| ~ ssList(sK66(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3403,f400]) ).
fof(f3403,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK66(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f454,f2655]) ).
fof(f2655,plain,
nil = app(sK66(nil,nil),nil),
inference(subsumption_resolution,[],[f2649,f400]) ).
fof(f2649,plain,
( nil = app(sK66(nil,nil),nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2644]) ).
fof(f2644,plain,
( nil = app(sK66(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f582,f642]) ).
fof(f3266,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ lt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1) ),
inference(duplicate_literal_removal,[],[f3265]) ).
fof(f3265,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ lt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f430,f413]) ).
fof(f3264,plain,
! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ lt(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP2(X1,X2) ),
inference(resolution,[],[f430,f449]) ).
fof(f3223,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1) ),
inference(duplicate_literal_removal,[],[f3222]) ).
fof(f3222,plain,
! [X2,X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| X1 = X2
| ~ leq(X2,X1)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f429,f413]) ).
fof(f3221,plain,
! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP2(X1,X2) ),
inference(resolution,[],[f429,f449]) ).
fof(f3139,plain,
! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK50(X1))
| ~ ssItem(X0)
| sP12(X1) ),
inference(subsumption_resolution,[],[f3138,f526]) ).
fof(f3138,plain,
! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK50(X1))
| ~ ssItem(sK50(X1))
| ~ ssItem(X0)
| sP12(X1) ),
inference(subsumption_resolution,[],[f3134,f525]) ).
fof(f3134,plain,
! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK50(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(sK50(X1))
| ~ ssItem(X0)
| sP12(X1) ),
inference(resolution,[],[f428,f532]) ).
fof(f3137,plain,
! [X0,X1] :
( leq(X0,sK50(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(X0)
| sP12(X1) ),
inference(subsumption_resolution,[],[f3136,f525]) ).
fof(f3136,plain,
! [X0,X1] :
( leq(X0,sK50(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(X0)
| sP12(X1) ),
inference(subsumption_resolution,[],[f3133,f526]) ).
fof(f3133,plain,
! [X0,X1] :
( leq(X0,sK50(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(sK50(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(X0)
| sP12(X1) ),
inference(resolution,[],[f428,f531]) ).
fof(f3132,plain,
! [X2,X0,X1] :
( leq(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP0(X1,X2) ),
inference(resolution,[],[f428,f441]) ).
fof(f3094,plain,
! [X2,X0,X1] :
( geq(X0,X1)
| ~ geq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ leq(X1,X2) ),
inference(duplicate_literal_removal,[],[f3093]) ).
fof(f3093,plain,
! [X2,X0,X1] :
( geq(X0,X1)
| ~ geq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ leq(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f427,f422]) ).
fof(f3051,plain,
! [X2,X0,X1] :
( gt(X0,X1)
| ~ gt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ lt(X1,X2) ),
inference(duplicate_literal_removal,[],[f3050]) ).
fof(f3050,plain,
! [X2,X0,X1] :
( gt(X0,X1)
| ~ gt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ lt(X1,X2)
| ~ ssItem(X1)
| ~ ssItem(X2) ),
inference(resolution,[],[f426,f420]) ).
fof(f3039,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK19 = X0
| ~ frontsegP(X0,sK19) ),
inference(subsumption_resolution,[],[f3036,f379]) ).
fof(f3036,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK19 = X0
| ~ frontsegP(X0,sK19)
| ~ ssList(sK19) ),
inference(duplicate_literal_removal,[],[f3035]) ).
fof(f3035,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK19 = X0
| ~ frontsegP(X0,sK19)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(resolution,[],[f2968,f578]) ).
fof(f3038,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK19 = app(X0,sK69(sK19,X0)) ),
inference(subsumption_resolution,[],[f3037,f379]) ).
fof(f3037,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK19 = app(X0,sK69(sK19,X0))
| ~ ssList(sK19) ),
inference(duplicate_literal_removal,[],[f3034]) ).
fof(f3034,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK19 = app(X0,sK69(sK19,X0))
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(resolution,[],[f2968,f589]) ).
fof(f2968,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2967,f400]) ).
fof(f2967,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2942,f379]) ).
fof(f2942,plain,
! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f599,f711]) ).
fof(f3033,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK18 = X0
| ~ frontsegP(X0,sK18) ),
inference(subsumption_resolution,[],[f3030,f378]) ).
fof(f3030,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK18 = X0
| ~ frontsegP(X0,sK18)
| ~ ssList(sK18) ),
inference(duplicate_literal_removal,[],[f3029]) ).
fof(f3029,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK18 = X0
| ~ frontsegP(X0,sK18)
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(resolution,[],[f2966,f578]) ).
fof(f3032,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK18 = app(X0,sK69(sK18,X0)) ),
inference(subsumption_resolution,[],[f3031,f378]) ).
fof(f3031,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK18 = app(X0,sK69(sK18,X0))
| ~ ssList(sK18) ),
inference(duplicate_literal_removal,[],[f3028]) ).
fof(f3028,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK18 = app(X0,sK69(sK18,X0))
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(resolution,[],[f2966,f589]) ).
fof(f2966,plain,
! [X0] :
( frontsegP(sK18,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2965,f400]) ).
fof(f2965,plain,
! [X0] :
( frontsegP(sK18,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2941,f378]) ).
fof(f2941,plain,
! [X0] :
( frontsegP(sK18,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f599,f710]) ).
fof(f2955,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2)) ),
inference(subsumption_resolution,[],[f2952,f572]) ).
fof(f2952,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2)) ),
inference(duplicate_literal_removal,[],[f2927]) ).
fof(f2927,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = X1
| ~ frontsegP(X1,app(X0,X2))
| ~ ssList(app(X0,X2))
| ~ ssList(X1) ),
inference(resolution,[],[f599,f578]) ).
fof(f2954,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK69(app(X0,X2),X1)) ),
inference(subsumption_resolution,[],[f2953,f572]) ).
fof(f2953,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK69(app(X0,X2),X1))
| ~ ssList(app(X0,X2)) ),
inference(duplicate_literal_removal,[],[f2926]) ).
fof(f2926,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X0,X2) = app(X1,sK69(app(X0,X2),X1))
| ~ ssList(X1)
| ~ ssList(app(X0,X2)) ),
inference(resolution,[],[f599,f589]) ).
fof(f599,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f43]) ).
fof(f43,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( frontsegP(X0,X1)
=> frontsegP(app(X0,X2),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax43) ).
fof(f2906,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK19 = X0
| ~ rearsegP(X0,sK19) ),
inference(subsumption_resolution,[],[f2903,f379]) ).
fof(f2903,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK19 = X0
| ~ rearsegP(X0,sK19)
| ~ ssList(sK19) ),
inference(duplicate_literal_removal,[],[f2902]) ).
fof(f2902,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK19 = X0
| ~ rearsegP(X0,sK19)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(resolution,[],[f2859,f576]) ).
fof(f2905,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK19 = app(sK66(sK19,X0),X0) ),
inference(subsumption_resolution,[],[f2904,f379]) ).
fof(f2904,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK19 = app(sK66(sK19,X0),X0)
| ~ ssList(sK19) ),
inference(duplicate_literal_removal,[],[f2901]) ).
fof(f2901,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK19 = app(sK66(sK19,X0),X0)
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(resolution,[],[f2859,f582]) ).
fof(f2859,plain,
! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2858,f400]) ).
fof(f2858,plain,
! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2829,f379]) ).
fof(f2829,plain,
! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK19)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f598,f684]) ).
fof(f2900,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK18 = X0
| ~ rearsegP(X0,sK18) ),
inference(subsumption_resolution,[],[f2897,f378]) ).
fof(f2897,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK18 = X0
| ~ rearsegP(X0,sK18)
| ~ ssList(sK18) ),
inference(duplicate_literal_removal,[],[f2896]) ).
fof(f2896,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK18 = X0
| ~ rearsegP(X0,sK18)
| ~ ssList(sK18)
| ~ ssList(X0) ),
inference(resolution,[],[f2857,f576]) ).
fof(f2899,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK18 = app(sK66(sK18,X0),X0) ),
inference(subsumption_resolution,[],[f2898,f378]) ).
fof(f2898,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK18 = app(sK66(sK18,X0),X0)
| ~ ssList(sK18) ),
inference(duplicate_literal_removal,[],[f2895]) ).
fof(f2895,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK18 = app(sK66(sK18,X0),X0)
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(resolution,[],[f2857,f582]) ).
fof(f2857,plain,
! [X0] :
( rearsegP(sK18,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2856,f400]) ).
fof(f2856,plain,
! [X0] :
( rearsegP(sK18,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2828,f378]) ).
fof(f2828,plain,
! [X0] :
( rearsegP(sK18,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f598,f683]) ).
fof(f2849,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0)) ),
inference(subsumption_resolution,[],[f2846,f572]) ).
fof(f2846,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0)) ),
inference(duplicate_literal_removal,[],[f2822]) ).
fof(f2822,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = X1
| ~ rearsegP(X1,app(X2,X0))
| ~ ssList(app(X2,X0))
| ~ ssList(X1) ),
inference(resolution,[],[f598,f576]) ).
fof(f2848,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK66(app(X2,X0),X1),X1) ),
inference(subsumption_resolution,[],[f2847,f572]) ).
fof(f2847,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK66(app(X2,X0),X1),X1)
| ~ ssList(app(X2,X0)) ),
inference(duplicate_literal_removal,[],[f2821]) ).
fof(f2821,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0)
| app(X2,X0) = app(sK66(app(X2,X0),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X2,X0)) ),
inference(resolution,[],[f598,f582]) ).
fof(f598,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f209]) ).
fof(f209,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f2739,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK69(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2735,f572]) ).
fof(f2735,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK69(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f2730]) ).
fof(f2730,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK69(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f589,f2231]) ).
fof(f589,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK69(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f372,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK69(X0,X1)) = X0
& ssList(sK69(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK69])],[f370,f371]) ).
fof(f371,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK69(X0,X1)) = X0
& ssList(sK69(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X1,X2) = X0
& ssList(X2) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f2652,plain,
! [X0,X1] :
( app(X0,X1) = app(sK66(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2650,f572]) ).
fof(f2650,plain,
! [X0,X1] :
( app(X0,X1) = app(sK66(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2642]) ).
fof(f2642,plain,
! [X0,X1] :
( app(X0,X1) = app(sK66(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(app(X0,X1))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f582,f2110]) ).
fof(f582,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK66(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f2597,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK69(X1,X2)))
| ~ ssList(X0)
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f588]) ).
fof(f2596,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK68(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f585]) ).
fof(f2595,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK67(X1,X2)))
| ~ ssList(X0)
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f584]) ).
fof(f2594,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK66(X1,X2)))
| ~ ssList(X0)
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f581]) ).
fof(f2593,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK65(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f569]) ).
fof(f2592,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK64(X1,X2)))
| ~ ssList(X0)
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f568]) ).
fof(f2591,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK63(X1)))
| ~ ssList(X0)
| sP16(X1) ),
inference(resolution,[],[f573,f552]) ).
fof(f2590,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK62(X1)))
| ~ ssList(X0)
| sP16(X1) ),
inference(resolution,[],[f573,f551]) ).
fof(f2589,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK61(X1)))
| ~ ssList(X0)
| sP16(X1) ),
inference(resolution,[],[f573,f550]) ).
fof(f2588,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK58(X1)))
| ~ ssList(X0)
| sP14(X1) ),
inference(resolution,[],[f573,f541]) ).
fof(f2587,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK57(X1)))
| ~ ssList(X0)
| sP14(X1) ),
inference(resolution,[],[f573,f540]) ).
fof(f2586,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK56(X1)))
| ~ ssList(X0)
| sP14(X1) ),
inference(resolution,[],[f573,f539]) ).
fof(f2585,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK53(X1)))
| ~ ssList(X0)
| sP12(X1) ),
inference(resolution,[],[f573,f529]) ).
fof(f2584,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK52(X1)))
| ~ ssList(X0)
| sP12(X1) ),
inference(resolution,[],[f573,f528]) ).
fof(f2583,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK51(X1)))
| ~ ssList(X0)
| sP12(X1) ),
inference(resolution,[],[f573,f527]) ).
fof(f2582,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK48(X1)))
| ~ ssList(X0)
| sP10(X1) ),
inference(resolution,[],[f573,f517]) ).
fof(f2581,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK47(X1)))
| ~ ssList(X0)
| sP10(X1) ),
inference(resolution,[],[f573,f516]) ).
fof(f2580,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK46(X1)))
| ~ ssList(X0)
| sP10(X1) ),
inference(resolution,[],[f573,f515]) ).
fof(f2579,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK43(X1)))
| ~ ssList(X0)
| sP8(X1) ),
inference(resolution,[],[f573,f505]) ).
fof(f2578,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK42(X1)))
| ~ ssList(X0)
| sP8(X1) ),
inference(resolution,[],[f573,f504]) ).
fof(f2577,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK41(X1)))
| ~ ssList(X0)
| sP8(X1) ),
inference(resolution,[],[f573,f503]) ).
fof(f2576,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK38(X1)))
| ~ ssList(X0)
| sP6(X1) ),
inference(resolution,[],[f573,f494]) ).
fof(f2575,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK37(X1)))
| ~ ssList(X0)
| sP6(X1) ),
inference(resolution,[],[f573,f493]) ).
fof(f2574,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK36(X1)))
| ~ ssList(X0)
| sP6(X1) ),
inference(resolution,[],[f573,f492]) ).
fof(f2573,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK33(X1)))
| ~ ssList(X0)
| sP4(X1) ),
inference(resolution,[],[f573,f483]) ).
fof(f2572,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK32(X1)))
| ~ ssList(X0)
| sP4(X1) ),
inference(resolution,[],[f573,f482]) ).
fof(f2571,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK28(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f573,f472]) ).
fof(f2567,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK25(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f573,f464]) ).
fof(f2599,plain,
! [X0] :
( hd(X0) = hd(app(X0,sK19))
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2565,f382]) ).
fof(f2565,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK21))
| ~ ssList(X0) ),
inference(resolution,[],[f573,f381]) ).
fof(f2598,plain,
! [X0] :
( hd(X0) = hd(app(X0,sK18))
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2564,f383]) ).
fof(f2564,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f573,f380]) ).
fof(f2560,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,tl(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f573,f468]) ).
fof(f2559,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,nil))
| ~ ssList(X0) ),
inference(resolution,[],[f573,f400]) ).
fof(f2558,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,app(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f572]) ).
fof(f2556,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f573,f562]) ).
fof(f573,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,X1))
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax85) ).
fof(f2340,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0)) ),
inference(subsumption_resolution,[],[f2339,f572]) ).
fof(f2339,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2322]) ).
fof(f2322,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1) ),
inference(resolution,[],[f2231,f578]) ).
fof(f2231,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f633,f572]) ).
fof(f2152,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1)) ),
inference(subsumption_resolution,[],[f2151,f572]) ).
fof(f2151,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2132]) ).
fof(f2132,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(resolution,[],[f2110,f576]) ).
fof(f2110,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f631,f572]) ).
fof(f578,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f577,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax54) ).
fof(f1733,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = sK50(X0) ),
inference(subsumption_resolution,[],[f1732,f526]) ).
fof(f1732,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK50(X0))
| sP12(X0) ),
inference(subsumption_resolution,[],[f1731,f525]) ).
fof(f1731,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK49(X0))
| ~ ssItem(sK50(X0))
| sP12(X0) ),
inference(subsumption_resolution,[],[f1728,f532]) ).
fof(f1728,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ leq(sK50(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f416,f531]) ).
fof(f576,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f194]) ).
fof(f194,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f1833,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK69(X1,X2)) = app(cons(X0,nil),sK69(X1,X2))
| ~ frontsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f588]) ).
fof(f1832,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK68(X1,X2)) = app(cons(X0,nil),sK68(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f585]) ).
fof(f1831,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK67(X1,X2)) = app(cons(X0,nil),sK67(X1,X2))
| ~ segmentP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f584]) ).
fof(f1830,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK66(X1,X2)) = app(cons(X0,nil),sK66(X1,X2))
| ~ rearsegP(X1,X2)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f581]) ).
fof(f1829,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK65(X1,X2)) = app(cons(X0,nil),sK65(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f569]) ).
fof(f1828,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK64(X1,X2)) = app(cons(X0,nil),sK64(X1,X2))
| ~ memberP(X1,X2)
| ~ ssItem(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f568]) ).
fof(f1827,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK63(X1)) = app(cons(X0,nil),sK63(X1))
| sP16(X1) ),
inference(resolution,[],[f567,f552]) ).
fof(f1826,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK62(X1)) = app(cons(X0,nil),sK62(X1))
| sP16(X1) ),
inference(resolution,[],[f567,f551]) ).
fof(f1825,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK61(X1)) = app(cons(X0,nil),sK61(X1))
| sP16(X1) ),
inference(resolution,[],[f567,f550]) ).
fof(f1824,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK58(X1)) = app(cons(X0,nil),sK58(X1))
| sP14(X1) ),
inference(resolution,[],[f567,f541]) ).
fof(f1823,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK57(X1)) = app(cons(X0,nil),sK57(X1))
| sP14(X1) ),
inference(resolution,[],[f567,f540]) ).
fof(f1822,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK56(X1)) = app(cons(X0,nil),sK56(X1))
| sP14(X1) ),
inference(resolution,[],[f567,f539]) ).
fof(f1821,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK53(X1)) = app(cons(X0,nil),sK53(X1))
| sP12(X1) ),
inference(resolution,[],[f567,f529]) ).
fof(f1820,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK52(X1)) = app(cons(X0,nil),sK52(X1))
| sP12(X1) ),
inference(resolution,[],[f567,f528]) ).
fof(f1819,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK51(X1)) = app(cons(X0,nil),sK51(X1))
| sP12(X1) ),
inference(resolution,[],[f567,f527]) ).
fof(f1818,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK48(X1)) = app(cons(X0,nil),sK48(X1))
| sP10(X1) ),
inference(resolution,[],[f567,f517]) ).
fof(f1817,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK47(X1)) = app(cons(X0,nil),sK47(X1))
| sP10(X1) ),
inference(resolution,[],[f567,f516]) ).
fof(f1816,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK46(X1)) = app(cons(X0,nil),sK46(X1))
| sP10(X1) ),
inference(resolution,[],[f567,f515]) ).
fof(f1815,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK43(X1)) = app(cons(X0,nil),sK43(X1))
| sP8(X1) ),
inference(resolution,[],[f567,f505]) ).
fof(f1814,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK42(X1)) = app(cons(X0,nil),sK42(X1))
| sP8(X1) ),
inference(resolution,[],[f567,f504]) ).
fof(f1813,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK41(X1)) = app(cons(X0,nil),sK41(X1))
| sP8(X1) ),
inference(resolution,[],[f567,f503]) ).
fof(f1812,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK38(X1)) = app(cons(X0,nil),sK38(X1))
| sP6(X1) ),
inference(resolution,[],[f567,f494]) ).
fof(f1811,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK37(X1)) = app(cons(X0,nil),sK37(X1))
| sP6(X1) ),
inference(resolution,[],[f567,f493]) ).
fof(f1810,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK36(X1)) = app(cons(X0,nil),sK36(X1))
| sP6(X1) ),
inference(resolution,[],[f567,f492]) ).
fof(f1809,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK33(X1)) = app(cons(X0,nil),sK33(X1))
| sP4(X1) ),
inference(resolution,[],[f567,f483]) ).
fof(f1808,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK32(X1)) = app(cons(X0,nil),sK32(X1))
| sP4(X1) ),
inference(resolution,[],[f567,f482]) ).
fof(f1807,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK28(X1)) = app(cons(X0,nil),sK28(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f567,f472]) ).
fof(f1805,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK25(X1)) = app(cons(X0,nil),sK25(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f567,f464]) ).
fof(f1835,plain,
! [X0] :
( cons(X0,sK19) = app(cons(X0,nil),sK19)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1803,f382]) ).
fof(f1803,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK21) = app(cons(X0,nil),sK21) ),
inference(resolution,[],[f567,f381]) ).
fof(f1834,plain,
! [X0] :
( cons(X0,sK18) = app(cons(X0,nil),sK18)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1802,f383]) ).
fof(f1802,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,nil),sK20) ),
inference(resolution,[],[f567,f380]) ).
fof(f1799,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f567,f468]) ).
fof(f1798,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = app(cons(X0,nil),nil) ),
inference(resolution,[],[f567,f400]) ).
fof(f1797,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f567,f572]) ).
fof(f1796,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f567,f562]) ).
fof(f567,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f1736,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| sP12(X0) ),
inference(subsumption_resolution,[],[f1735,f525]) ).
fof(f1735,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK49(X0))
| sP12(X0) ),
inference(subsumption_resolution,[],[f1734,f526]) ).
fof(f1734,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK50(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) ),
inference(subsumption_resolution,[],[f1729,f531]) ).
fof(f1729,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ leq(sK49(X0),sK50(X0))
| ~ ssItem(sK50(X0))
| ~ ssItem(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f416,f532]) ).
fof(f1727,plain,
! [X0,X1] :
( hd(X0) = X1
| ~ leq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(resolution,[],[f416,f441]) ).
fof(f1710,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1709]) ).
fof(f1709,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(resolution,[],[f415,f422]) ).
fof(f1640,plain,
! [X0] :
( sK59(X0) = sK60(X0)
| ~ leq(sK59(X0),sK60(X0))
| sP16(X0) ),
inference(subsumption_resolution,[],[f1639,f548]) ).
fof(f1639,plain,
! [X0] :
( sK59(X0) = sK60(X0)
| ~ leq(sK59(X0),sK60(X0))
| ~ ssItem(sK59(X0))
| sP16(X0) ),
inference(subsumption_resolution,[],[f1631,f549]) ).
fof(f1631,plain,
! [X0] :
( sK59(X0) = sK60(X0)
| ~ leq(sK59(X0),sK60(X0))
| ~ ssItem(sK60(X0))
| ~ ssItem(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f413,f554]) ).
fof(f1638,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK45(X0),sK44(X0))
| sP10(X0) ),
inference(subsumption_resolution,[],[f1637,f514]) ).
fof(f1637,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK45(X0),sK44(X0))
| ~ ssItem(sK45(X0))
| sP10(X0) ),
inference(subsumption_resolution,[],[f1630,f513]) ).
fof(f1630,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK45(X0),sK44(X0))
| ~ ssItem(sK44(X0))
| ~ ssItem(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f413,f520]) ).
fof(f1636,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK44(X0),sK45(X0))
| sP10(X0) ),
inference(subsumption_resolution,[],[f1635,f513]) ).
fof(f1635,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK44(X0),sK45(X0))
| ~ ssItem(sK44(X0))
| sP10(X0) ),
inference(subsumption_resolution,[],[f1629,f514]) ).
fof(f1629,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK44(X0),sK45(X0))
| ~ ssItem(sK45(X0))
| ~ ssItem(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f413,f519]) ).
fof(f1628,plain,
! [X0,X1] :
( hd(X1) = X0
| ~ leq(X0,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X0)
| sP2(X1,X0)
| ~ strictorderedP(X1)
| nil = X1 ),
inference(resolution,[],[f413,f451]) ).
fof(f1632,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1627]) ).
fof(f1627,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(resolution,[],[f413,f414]) ).
fof(f592,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f374,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f373]) ).
fof(f373,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f203]) ).
fof(f203,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax83) ).
fof(f591,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f1425,plain,
( sK18 = cons(sK26(sK18),sK25(sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1375,f383]) ).
fof(f1375,plain,
( nil = sK18
| sK20 = cons(sK26(sK20),sK25(sK20)) ),
inference(forward_demodulation,[],[f1341,f383]) ).
fof(f1341,plain,
( nil = sK20
| sK20 = cons(sK26(sK20),sK25(sK20)) ),
inference(resolution,[],[f466,f380]) ).
fof(f1339,plain,
( nil = sK18
| sK18 = cons(sK26(sK18),sK25(sK18)) ),
inference(resolution,[],[f466,f378]) ).
fof(f1428,plain,
( tl(sK18) = sK28(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f884,f383]) ).
fof(f884,plain,
( nil = sK18
| tl(sK20) = sK28(sK20) ),
inference(forward_demodulation,[],[f857,f383]) ).
fof(f857,plain,
( nil = sK20
| tl(sK20) = sK28(sK20) ),
inference(resolution,[],[f473,f380]) ).
fof(f855,plain,
( nil = sK18
| tl(sK18) = sK28(sK18) ),
inference(resolution,[],[f473,f378]) ).
fof(f1431,plain,
( hd(sK18) = sK27(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f844,f383]) ).
fof(f844,plain,
( nil = sK18
| hd(sK20) = sK27(sK20) ),
inference(forward_demodulation,[],[f817,f383]) ).
fof(f817,plain,
( nil = sK20
| hd(sK20) = sK27(sK20) ),
inference(resolution,[],[f471,f380]) ).
fof(f815,plain,
( nil = sK18
| hd(sK18) = sK27(sK18) ),
inference(resolution,[],[f471,f378]) ).
fof(f1451,plain,
( nil = sK18
| sK18 = cons(hd(sK18),tl(sK18)) ),
inference(resolution,[],[f469,f378]) ).
fof(f1493,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1486,f383]) ).
fof(f1486,plain,
( nil = sK18
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(forward_demodulation,[],[f1453,f383]) ).
fof(f1453,plain,
( nil = sK20
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(resolution,[],[f469,f380]) ).
fof(f1483,plain,
! [X0,X1] :
( nil = sK69(X0,X1)
| sK69(X0,X1) = cons(hd(sK69(X0,X1)),tl(sK69(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f588]) ).
fof(f1482,plain,
! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(hd(sK68(X0,X1)),tl(sK68(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f585]) ).
fof(f1481,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(hd(sK67(X0,X1)),tl(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f584]) ).
fof(f1480,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f581]) ).
fof(f1479,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f569]) ).
fof(f1478,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f568]) ).
fof(f1477,plain,
! [X0] :
( nil = sK63(X0)
| sK63(X0) = cons(hd(sK63(X0)),tl(sK63(X0)))
| sP16(X0) ),
inference(resolution,[],[f469,f552]) ).
fof(f1476,plain,
! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(hd(sK62(X0)),tl(sK62(X0)))
| sP16(X0) ),
inference(resolution,[],[f469,f551]) ).
fof(f1475,plain,
! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(hd(sK61(X0)),tl(sK61(X0)))
| sP16(X0) ),
inference(resolution,[],[f469,f550]) ).
fof(f1474,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
| sP14(X0) ),
inference(resolution,[],[f469,f541]) ).
fof(f1473,plain,
! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(hd(sK57(X0)),tl(sK57(X0)))
| sP14(X0) ),
inference(resolution,[],[f469,f540]) ).
fof(f1472,plain,
! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(hd(sK56(X0)),tl(sK56(X0)))
| sP14(X0) ),
inference(resolution,[],[f469,f539]) ).
fof(f1471,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
| sP12(X0) ),
inference(resolution,[],[f469,f529]) ).
fof(f1470,plain,
! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(hd(sK52(X0)),tl(sK52(X0)))
| sP12(X0) ),
inference(resolution,[],[f469,f528]) ).
fof(f1469,plain,
! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(hd(sK51(X0)),tl(sK51(X0)))
| sP12(X0) ),
inference(resolution,[],[f469,f527]) ).
fof(f1468,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
| sP10(X0) ),
inference(resolution,[],[f469,f517]) ).
fof(f1467,plain,
! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(hd(sK47(X0)),tl(sK47(X0)))
| sP10(X0) ),
inference(resolution,[],[f469,f516]) ).
fof(f1466,plain,
! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(hd(sK46(X0)),tl(sK46(X0)))
| sP10(X0) ),
inference(resolution,[],[f469,f515]) ).
fof(f1465,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
| sP8(X0) ),
inference(resolution,[],[f469,f505]) ).
fof(f1464,plain,
! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(hd(sK42(X0)),tl(sK42(X0)))
| sP8(X0) ),
inference(resolution,[],[f469,f504]) ).
fof(f1463,plain,
! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(hd(sK41(X0)),tl(sK41(X0)))
| sP8(X0) ),
inference(resolution,[],[f469,f503]) ).
fof(f1462,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
| sP6(X0) ),
inference(resolution,[],[f469,f494]) ).
fof(f1461,plain,
! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(hd(sK37(X0)),tl(sK37(X0)))
| sP6(X0) ),
inference(resolution,[],[f469,f493]) ).
fof(f1460,plain,
! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(hd(sK36(X0)),tl(sK36(X0)))
| sP6(X0) ),
inference(resolution,[],[f469,f492]) ).
fof(f1459,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
| sP4(X0) ),
inference(resolution,[],[f469,f483]) ).
fof(f1458,plain,
! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(hd(sK32(X0)),tl(sK32(X0)))
| sP4(X0) ),
inference(resolution,[],[f469,f482]) ).
fof(f1457,plain,
! [X0] :
( nil = sK28(X0)
| sK28(X0) = cons(hd(sK28(X0)),tl(sK28(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f469,f472]) ).
fof(f1456,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f469,f464]) ).
fof(f1450,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f469,f468]) ).
fof(f1448,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(hd(app(X0,X1)),tl(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f572]) ).
fof(f1484,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1447,f563]) ).
fof(f1447,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f469,f562]) ).
fof(f1371,plain,
! [X0,X1] :
( nil = sK69(X0,X1)
| sK69(X0,X1) = cons(sK26(sK69(X0,X1)),sK25(sK69(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f588]) ).
fof(f1370,plain,
! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(sK26(sK68(X0,X1)),sK25(sK68(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f585]) ).
fof(f1369,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(sK26(sK67(X0,X1)),sK25(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f584]) ).
fof(f1368,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK26(sK66(X0,X1)),sK25(sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f581]) ).
fof(f1367,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK26(sK65(X0,X1)),sK25(sK65(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f569]) ).
fof(f1366,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(sK26(sK64(X0,X1)),sK25(sK64(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f568]) ).
fof(f1365,plain,
! [X0] :
( nil = sK63(X0)
| sK63(X0) = cons(sK26(sK63(X0)),sK25(sK63(X0)))
| sP16(X0) ),
inference(resolution,[],[f466,f552]) ).
fof(f1364,plain,
! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(sK26(sK62(X0)),sK25(sK62(X0)))
| sP16(X0) ),
inference(resolution,[],[f466,f551]) ).
fof(f1363,plain,
! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(sK26(sK61(X0)),sK25(sK61(X0)))
| sP16(X0) ),
inference(resolution,[],[f466,f550]) ).
fof(f1362,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(sK26(sK58(X0)),sK25(sK58(X0)))
| sP14(X0) ),
inference(resolution,[],[f466,f541]) ).
fof(f1361,plain,
! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(sK26(sK57(X0)),sK25(sK57(X0)))
| sP14(X0) ),
inference(resolution,[],[f466,f540]) ).
fof(f1360,plain,
! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(sK26(sK56(X0)),sK25(sK56(X0)))
| sP14(X0) ),
inference(resolution,[],[f466,f539]) ).
fof(f1359,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(sK26(sK53(X0)),sK25(sK53(X0)))
| sP12(X0) ),
inference(resolution,[],[f466,f529]) ).
fof(f1358,plain,
! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(sK26(sK52(X0)),sK25(sK52(X0)))
| sP12(X0) ),
inference(resolution,[],[f466,f528]) ).
fof(f1357,plain,
! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(sK26(sK51(X0)),sK25(sK51(X0)))
| sP12(X0) ),
inference(resolution,[],[f466,f527]) ).
fof(f1356,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(sK26(sK48(X0)),sK25(sK48(X0)))
| sP10(X0) ),
inference(resolution,[],[f466,f517]) ).
fof(f1355,plain,
! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(sK26(sK47(X0)),sK25(sK47(X0)))
| sP10(X0) ),
inference(resolution,[],[f466,f516]) ).
fof(f1354,plain,
! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(sK26(sK46(X0)),sK25(sK46(X0)))
| sP10(X0) ),
inference(resolution,[],[f466,f515]) ).
fof(f1353,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(sK26(sK43(X0)),sK25(sK43(X0)))
| sP8(X0) ),
inference(resolution,[],[f466,f505]) ).
fof(f1352,plain,
! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(sK26(sK42(X0)),sK25(sK42(X0)))
| sP8(X0) ),
inference(resolution,[],[f466,f504]) ).
fof(f1351,plain,
! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(sK26(sK41(X0)),sK25(sK41(X0)))
| sP8(X0) ),
inference(resolution,[],[f466,f503]) ).
fof(f1350,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(sK26(sK38(X0)),sK25(sK38(X0)))
| sP6(X0) ),
inference(resolution,[],[f466,f494]) ).
fof(f1349,plain,
! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(sK26(sK37(X0)),sK25(sK37(X0)))
| sP6(X0) ),
inference(resolution,[],[f466,f493]) ).
fof(f1348,plain,
! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(sK26(sK36(X0)),sK25(sK36(X0)))
| sP6(X0) ),
inference(resolution,[],[f466,f492]) ).
fof(f1347,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(sK26(sK33(X0)),sK25(sK33(X0)))
| sP4(X0) ),
inference(resolution,[],[f466,f483]) ).
fof(f1346,plain,
! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(sK26(sK32(X0)),sK25(sK32(X0)))
| sP4(X0) ),
inference(resolution,[],[f466,f482]) ).
fof(f1345,plain,
! [X0] :
( nil = sK28(X0)
| sK28(X0) = cons(sK26(sK28(X0)),sK25(sK28(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f472]) ).
fof(f1344,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(sK26(sK25(X0)),sK25(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f464]) ).
fof(f1338,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK26(tl(X0)),sK25(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f466,f468]) ).
fof(f1336,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK26(app(X0,X1)),sK25(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f466,f572]) ).
fof(f1372,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK26(cons(X0,X1)),sK25(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1335,f563]) ).
fof(f1335,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK26(cons(X0,X1)),sK25(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f466,f562]) ).
fof(f1334,plain,
! [X0,X1] :
( sK18 = tl(cons(sK59(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1177,f445]) ).
fof(f1177,plain,
! [X0] :
( strictorderedP(X0)
| sK18 = tl(cons(sK59(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f940,f677]) ).
fof(f1333,plain,
! [X0,X1] :
( sK18 = tl(cons(sK55(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1170,f437]) ).
fof(f1170,plain,
! [X0] :
( totalorderedP(X0)
| sK18 = tl(cons(sK55(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f939,f675]) ).
fof(f1332,plain,
! [X0,X1] :
( sK18 = tl(cons(sK54(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1169,f437]) ).
fof(f1169,plain,
! [X0] :
( totalorderedP(X0)
| sK18 = tl(cons(sK54(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f938,f675]) ).
fof(f1329,plain,
! [X0] :
( sK19 = tl(cons(sK29(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1328]) ).
fof(f1328,plain,
! [X0] :
( sK19 = tl(cons(sK29(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f983,f617]) ).
fof(f983,plain,
! [X0] :
( ~ singletonP(X0)
| sK19 = tl(cons(sK29(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f896,f474]) ).
fof(f1327,plain,
! [X0] :
( sK18 = tl(cons(sK29(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1326]) ).
fof(f1326,plain,
! [X0] :
( sK18 = tl(cons(sK29(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f927,f617]) ).
fof(f927,plain,
! [X0] :
( ~ singletonP(X0)
| sK18 = tl(cons(sK29(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f895,f474]) ).
fof(f1324,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,nil)
| ~ sP0(cons(sK71,nil),X0) ),
inference(superposition,[],[f441,f1305]) ).
fof(f1323,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,nil)
| ~ sP2(cons(sK71,nil),X0) ),
inference(superposition,[],[f449,f1305]) ).
fof(f1322,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP0(cons(sK71,nil),X0)
| ~ totalorderedP(cons(sK71,nil))
| nil = cons(sK71,nil) ),
inference(superposition,[],[f443,f1305]) ).
fof(f1321,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP2(cons(sK71,nil),X0)
| ~ strictorderedP(cons(sK71,nil))
| nil = cons(sK71,nil) ),
inference(superposition,[],[f451,f1305]) ).
fof(f1305,plain,
sK71 = hd(cons(sK71,nil)),
inference(resolution,[],[f949,f607]) ).
fof(f1319,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,nil)
| ~ sP0(cons(sK70,nil),X0) ),
inference(superposition,[],[f441,f1304]) ).
fof(f1318,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,nil)
| ~ sP2(cons(sK70,nil),X0) ),
inference(superposition,[],[f449,f1304]) ).
fof(f1317,plain,
! [X0] :
( ~ leq(X0,sK70)
| sP0(cons(sK70,nil),X0)
| ~ totalorderedP(cons(sK70,nil))
| nil = cons(sK70,nil) ),
inference(superposition,[],[f443,f1304]) ).
fof(f1316,plain,
! [X0] :
( ~ lt(X0,sK70)
| sP2(cons(sK70,nil),X0)
| ~ strictorderedP(cons(sK70,nil))
| nil = cons(sK70,nil) ),
inference(superposition,[],[f451,f1304]) ).
fof(f1304,plain,
sK70 = hd(cons(sK70,nil)),
inference(resolution,[],[f949,f606]) ).
fof(f1314,plain,
! [X0] :
( leq(X0,sK24)
| nil = cons(sK24,nil)
| ~ sP0(cons(sK24,nil),X0) ),
inference(superposition,[],[f441,f1286]) ).
fof(f1313,plain,
! [X0] :
( lt(X0,sK24)
| nil = cons(sK24,nil)
| ~ sP2(cons(sK24,nil),X0) ),
inference(superposition,[],[f449,f1286]) ).
fof(f1312,plain,
! [X0] :
( ~ leq(X0,sK24)
| sP0(cons(sK24,nil),X0)
| ~ totalorderedP(cons(sK24,nil))
| nil = cons(sK24,nil) ),
inference(superposition,[],[f443,f1286]) ).
fof(f1311,plain,
! [X0] :
( ~ lt(X0,sK24)
| sP2(cons(sK24,nil),X0)
| ~ strictorderedP(cons(sK24,nil))
| nil = cons(sK24,nil) ),
inference(superposition,[],[f451,f1286]) ).
fof(f1286,plain,
sK24 = hd(cons(sK24,nil)),
inference(resolution,[],[f949,f384]) ).
fof(f1303,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f949,f549]) ).
fof(f1302,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f949,f548]) ).
fof(f1301,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f949,f538]) ).
fof(f1300,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f949,f537]) ).
fof(f1299,plain,
! [X0] :
( sK50(X0) = hd(cons(sK50(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f949,f526]) ).
fof(f1298,plain,
! [X0] :
( sK49(X0) = hd(cons(sK49(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f949,f525]) ).
fof(f1297,plain,
! [X0] :
( sK45(X0) = hd(cons(sK45(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f949,f514]) ).
fof(f1296,plain,
! [X0] :
( sK44(X0) = hd(cons(sK44(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f949,f513]) ).
fof(f1295,plain,
! [X0] :
( sK40(X0) = hd(cons(sK40(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f949,f502]) ).
fof(f1294,plain,
! [X0] :
( sK39(X0) = hd(cons(sK39(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f949,f501]) ).
fof(f1293,plain,
! [X0] :
( sK35(X0) = hd(cons(sK35(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f949,f491]) ).
fof(f1292,plain,
! [X0] :
( sK34(X0) = hd(cons(sK34(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f949,f490]) ).
fof(f1291,plain,
! [X0] :
( sK31(X0) = hd(cons(sK31(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f949,f481]) ).
fof(f1290,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f949,f480]) ).
fof(f1289,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f949,f474]) ).
fof(f1288,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f949,f470]) ).
fof(f1287,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f949,f465]) ).
fof(f1284,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f949,f467]) ).
fof(f949,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f566,f400]) ).
fof(f1278,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP2(cons(sK71,sK19),X0)
| ~ strictorderedP(cons(sK71,sK19))
| nil = cons(sK71,sK19) ),
inference(superposition,[],[f451,f1053]) ).
fof(f1277,plain,
! [X0] :
( ~ lt(X0,sK70)
| sP2(cons(sK70,sK19),X0)
| ~ strictorderedP(cons(sK70,sK19))
| nil = cons(sK70,sK19) ),
inference(superposition,[],[f451,f1052]) ).
fof(f1276,plain,
! [X0] :
( ~ lt(X0,sK24)
| sP2(cons(sK24,sK19),X0)
| ~ strictorderedP(cons(sK24,sK19))
| nil = cons(sK24,sK19) ),
inference(superposition,[],[f451,f1034]) ).
fof(f1274,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP2(cons(sK71,sK18),X0)
| ~ strictorderedP(cons(sK71,sK18))
| nil = cons(sK71,sK18) ),
inference(superposition,[],[f451,f1023]) ).
fof(f1273,plain,
! [X0] :
( ~ lt(X0,sK70)
| sP2(cons(sK70,sK18),X0)
| ~ strictorderedP(cons(sK70,sK18))
| nil = cons(sK70,sK18) ),
inference(superposition,[],[f451,f1022]) ).
fof(f1272,plain,
! [X0] :
( ~ lt(X0,sK24)
| sP2(cons(sK24,sK18),X0)
| ~ strictorderedP(cons(sK24,sK18))
| nil = cons(sK24,sK18) ),
inference(superposition,[],[f451,f1004]) ).
fof(f1265,plain,
nil = tl(cons(sK71,nil)),
inference(resolution,[],[f893,f607]) ).
fof(f1264,plain,
nil = tl(cons(sK70,nil)),
inference(resolution,[],[f893,f606]) ).
fof(f1246,plain,
nil = tl(cons(sK24,nil)),
inference(resolution,[],[f893,f384]) ).
fof(f1263,plain,
! [X0] :
( nil = tl(cons(sK60(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f893,f549]) ).
fof(f1262,plain,
! [X0] :
( nil = tl(cons(sK59(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f893,f548]) ).
fof(f1261,plain,
! [X0] :
( nil = tl(cons(sK55(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f893,f538]) ).
fof(f1260,plain,
! [X0] :
( nil = tl(cons(sK54(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f893,f537]) ).
fof(f1259,plain,
! [X0] :
( nil = tl(cons(sK50(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f893,f526]) ).
fof(f1258,plain,
! [X0] :
( nil = tl(cons(sK49(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f893,f525]) ).
fof(f1257,plain,
! [X0] :
( nil = tl(cons(sK45(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f893,f514]) ).
fof(f1256,plain,
! [X0] :
( nil = tl(cons(sK44(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f893,f513]) ).
fof(f1255,plain,
! [X0] :
( nil = tl(cons(sK40(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f893,f502]) ).
fof(f1254,plain,
! [X0] :
( nil = tl(cons(sK39(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f893,f501]) ).
fof(f1253,plain,
! [X0] :
( nil = tl(cons(sK35(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f893,f491]) ).
fof(f1252,plain,
! [X0] :
( nil = tl(cons(sK34(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f893,f490]) ).
fof(f1251,plain,
! [X0] :
( nil = tl(cons(sK31(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f893,f481]) ).
fof(f1250,plain,
! [X0] :
( nil = tl(cons(sK30(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f893,f480]) ).
fof(f1249,plain,
! [X0] :
( nil = tl(cons(sK29(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f893,f474]) ).
fof(f1248,plain,
! [X0] :
( nil = tl(cons(sK27(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f893,f470]) ).
fof(f1247,plain,
! [X0] :
( nil = tl(cons(sK26(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f893,f465]) ).
fof(f1244,plain,
! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f893,f467]) ).
fof(f893,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f565,f400]) ).
fof(f1234,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP0(cons(sK71,sK19),X0)
| ~ totalorderedP(cons(sK71,sK19))
| nil = cons(sK71,sK19) ),
inference(superposition,[],[f443,f1053]) ).
fof(f1233,plain,
! [X0] :
( ~ leq(X0,sK70)
| sP0(cons(sK70,sK19),X0)
| ~ totalorderedP(cons(sK70,sK19))
| nil = cons(sK70,sK19) ),
inference(superposition,[],[f443,f1052]) ).
fof(f1232,plain,
! [X0] :
( ~ leq(X0,sK24)
| sP0(cons(sK24,sK19),X0)
| ~ totalorderedP(cons(sK24,sK19))
| nil = cons(sK24,sK19) ),
inference(superposition,[],[f443,f1034]) ).
fof(f1230,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP0(cons(sK71,sK18),X0)
| ~ totalorderedP(cons(sK71,sK18))
| nil = cons(sK71,sK18) ),
inference(superposition,[],[f443,f1023]) ).
fof(f1229,plain,
! [X0] :
( ~ leq(X0,sK70)
| sP0(cons(sK70,sK18),X0)
| ~ totalorderedP(cons(sK70,sK18))
| nil = cons(sK70,sK18) ),
inference(superposition,[],[f443,f1022]) ).
fof(f1228,plain,
! [X0] :
( ~ leq(X0,sK24)
| sP0(cons(sK24,sK18),X0)
| ~ totalorderedP(cons(sK24,sK18))
| nil = cons(sK24,sK18) ),
inference(superposition,[],[f443,f1004]) ).
fof(f1226,plain,
! [X0] :
( sP0(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f443,f404]) ).
fof(f1224,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1051,f677]) ).
fof(f1051,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = hd(cons(sK60(X0),sK19)) ),
inference(resolution,[],[f952,f549]) ).
fof(f1223,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1050,f677]) ).
fof(f1050,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = hd(cons(sK59(X0),sK19)) ),
inference(resolution,[],[f952,f548]) ).
fof(f1222,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1049,f675]) ).
fof(f1049,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = hd(cons(sK55(X0),sK19)) ),
inference(resolution,[],[f952,f538]) ).
fof(f1221,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK69(X0,X1) = app(sK69(X0,X1),nil) ),
inference(resolution,[],[f588,f462]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK69(X0,X1) = app(nil,sK69(X0,X1)) ),
inference(resolution,[],[f588,f463]) ).
fof(f1219,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK69(X0,X1)
| hd(sK69(X0,X1)) = sK27(sK69(X0,X1)) ),
inference(resolution,[],[f588,f471]) ).
fof(f1218,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK69(X0,X1)
| tl(sK69(X0,X1)) = sK28(sK69(X0,X1)) ),
inference(resolution,[],[f588,f473]) ).
fof(f1217,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK69(X0,X1) = tl(cons(X2,sK69(X0,X1))) ),
inference(resolution,[],[f588,f565]) ).
fof(f1216,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK69(X0,X1))) = X2 ),
inference(resolution,[],[f588,f566]) ).
fof(f588,plain,
! [X0,X1] :
( ssList(sK69(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f1215,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1048,f675]) ).
fof(f1048,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = hd(cons(sK54(X0),sK19)) ),
inference(resolution,[],[f952,f537]) ).
fof(f1047,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = hd(cons(sK50(X0),sK19)) ),
inference(resolution,[],[f952,f526]) ).
fof(f1046,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = hd(cons(sK49(X0),sK19)) ),
inference(resolution,[],[f952,f525]) ).
fof(f1045,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = hd(cons(sK45(X0),sK19)) ),
inference(resolution,[],[f952,f514]) ).
fof(f1044,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = hd(cons(sK44(X0),sK19)) ),
inference(resolution,[],[f952,f513]) ).
fof(f1043,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = hd(cons(sK40(X0),sK19)) ),
inference(resolution,[],[f952,f502]) ).
fof(f1042,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = hd(cons(sK39(X0),sK19)) ),
inference(resolution,[],[f952,f501]) ).
fof(f1041,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = hd(cons(sK35(X0),sK19)) ),
inference(resolution,[],[f952,f491]) ).
fof(f1040,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = hd(cons(sK34(X0),sK19)) ),
inference(resolution,[],[f952,f490]) ).
fof(f1039,plain,
! [X0] :
( sP4(X0)
| sK31(X0) = hd(cons(sK31(X0),sK19)) ),
inference(resolution,[],[f952,f481]) ).
fof(f1038,plain,
! [X0] :
( sP4(X0)
| sK30(X0) = hd(cons(sK30(X0),sK19)) ),
inference(resolution,[],[f952,f480]) ).
fof(f1214,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(sK68(X0,X1),nil) ),
inference(resolution,[],[f585,f462]) ).
fof(f1213,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(nil,sK68(X0,X1)) ),
inference(resolution,[],[f585,f463]) ).
fof(f1212,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| hd(sK68(X0,X1)) = sK27(sK68(X0,X1)) ),
inference(resolution,[],[f585,f471]) ).
fof(f1211,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| tl(sK68(X0,X1)) = sK28(sK68(X0,X1)) ),
inference(resolution,[],[f585,f473]) ).
fof(f1210,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK68(X0,X1) = tl(cons(X2,sK68(X0,X1))) ),
inference(resolution,[],[f585,f565]) ).
fof(f1209,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 ),
inference(resolution,[],[f585,f566]) ).
fof(f585,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1208,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1021,f677]) ).
fof(f1021,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = hd(cons(sK60(X0),sK18)) ),
inference(resolution,[],[f951,f549]) ).
fof(f1207,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1020,f677]) ).
fof(f1020,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = hd(cons(sK59(X0),sK18)) ),
inference(resolution,[],[f951,f548]) ).
fof(f1206,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK18))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1019,f675]) ).
fof(f1019,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = hd(cons(sK55(X0),sK18)) ),
inference(resolution,[],[f951,f538]) ).
fof(f1205,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK18))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1018,f675]) ).
fof(f1018,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = hd(cons(sK54(X0),sK18)) ),
inference(resolution,[],[f951,f537]) ).
fof(f1017,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = hd(cons(sK50(X0),sK18)) ),
inference(resolution,[],[f951,f526]) ).
fof(f1016,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = hd(cons(sK49(X0),sK18)) ),
inference(resolution,[],[f951,f525]) ).
fof(f1015,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = hd(cons(sK45(X0),sK18)) ),
inference(resolution,[],[f951,f514]) ).
fof(f1014,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = hd(cons(sK44(X0),sK18)) ),
inference(resolution,[],[f951,f513]) ).
fof(f1013,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = hd(cons(sK40(X0),sK18)) ),
inference(resolution,[],[f951,f502]) ).
fof(f1012,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = hd(cons(sK39(X0),sK18)) ),
inference(resolution,[],[f951,f501]) ).
fof(f1011,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = hd(cons(sK35(X0),sK18)) ),
inference(resolution,[],[f951,f491]) ).
fof(f1204,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(sK67(X0,X1),nil) ),
inference(resolution,[],[f584,f462]) ).
fof(f1203,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(nil,sK67(X0,X1)) ),
inference(resolution,[],[f584,f463]) ).
fof(f1202,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| hd(sK67(X0,X1)) = sK27(sK67(X0,X1)) ),
inference(resolution,[],[f584,f471]) ).
fof(f1201,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| tl(sK67(X0,X1)) = sK28(sK67(X0,X1)) ),
inference(resolution,[],[f584,f473]) ).
fof(f1200,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK67(X0,X1) = tl(cons(X2,sK67(X0,X1))) ),
inference(resolution,[],[f584,f565]) ).
fof(f1199,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ),
inference(resolution,[],[f584,f566]) ).
fof(f584,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1010,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = hd(cons(sK34(X0),sK18)) ),
inference(resolution,[],[f951,f490]) ).
fof(f1009,plain,
! [X0] :
( sP4(X0)
| sK31(X0) = hd(cons(sK31(X0),sK18)) ),
inference(resolution,[],[f951,f481]) ).
fof(f1008,plain,
! [X0] :
( sP4(X0)
| sK30(X0) = hd(cons(sK30(X0),sK18)) ),
inference(resolution,[],[f951,f480]) ).
fof(f1194,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ),
inference(resolution,[],[f581,f462]) ).
fof(f1193,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
inference(resolution,[],[f581,f463]) ).
fof(f1192,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK27(sK66(X0,X1)) ),
inference(resolution,[],[f581,f471]) ).
fof(f1191,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK28(sK66(X0,X1)) ),
inference(resolution,[],[f581,f473]) ).
fof(f1190,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
inference(resolution,[],[f581,f565]) ).
fof(f1189,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f581,f566]) ).
fof(f1188,plain,
! [X0] :
( sK19 = tl(cons(sK60(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f997,f677]) ).
fof(f997,plain,
! [X0] :
( sP16(X0)
| sK19 = tl(cons(sK60(X0),sK19)) ),
inference(resolution,[],[f896,f549]) ).
fof(f1187,plain,
! [X0] :
( sK19 = tl(cons(sK59(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f996,f677]) ).
fof(f996,plain,
! [X0] :
( sP16(X0)
| sK19 = tl(cons(sK59(X0),sK19)) ),
inference(resolution,[],[f896,f548]) ).
fof(f1186,plain,
! [X0] :
( sK19 = tl(cons(sK55(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f995,f675]) ).
fof(f995,plain,
! [X0] :
( sP14(X0)
| sK19 = tl(cons(sK55(X0),sK19)) ),
inference(resolution,[],[f896,f538]) ).
fof(f1185,plain,
! [X0] :
( sK19 = tl(cons(sK54(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f994,f675]) ).
fof(f994,plain,
! [X0] :
( sP14(X0)
| sK19 = tl(cons(sK54(X0),sK19)) ),
inference(resolution,[],[f896,f537]) ).
fof(f993,plain,
! [X0] :
( sP12(X0)
| sK19 = tl(cons(sK50(X0),sK19)) ),
inference(resolution,[],[f896,f526]) ).
fof(f1184,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ),
inference(resolution,[],[f569,f462]) ).
fof(f1183,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
inference(resolution,[],[f569,f463]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK27(sK65(X0,X1)) ),
inference(resolution,[],[f569,f471]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK28(sK65(X0,X1)) ),
inference(resolution,[],[f569,f473]) ).
fof(f1180,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
inference(resolution,[],[f569,f565]) ).
fof(f1179,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f569,f566]) ).
fof(f569,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f992,plain,
! [X0] :
( sP12(X0)
| sK19 = tl(cons(sK49(X0),sK19)) ),
inference(resolution,[],[f896,f525]) ).
fof(f991,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK45(X0),sK19)) ),
inference(resolution,[],[f896,f514]) ).
fof(f990,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK44(X0),sK19)) ),
inference(resolution,[],[f896,f513]) ).
fof(f989,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK40(X0),sK19)) ),
inference(resolution,[],[f896,f502]) ).
fof(f988,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK39(X0),sK19)) ),
inference(resolution,[],[f896,f501]) ).
fof(f987,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK35(X0),sK19)) ),
inference(resolution,[],[f896,f491]) ).
fof(f986,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK34(X0),sK19)) ),
inference(resolution,[],[f896,f490]) ).
fof(f985,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK31(X0),sK19)) ),
inference(resolution,[],[f896,f481]) ).
fof(f984,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK30(X0),sK19)) ),
inference(resolution,[],[f896,f480]) ).
fof(f1178,plain,
! [X0] :
( sK18 = tl(cons(sK60(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f941,f677]) ).
fof(f941,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK60(X0),sK18)) ),
inference(resolution,[],[f895,f549]) ).
fof(f940,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK59(X0),sK18)) ),
inference(resolution,[],[f895,f548]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) ),
inference(resolution,[],[f568,f462]) ).
fof(f1175,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
inference(resolution,[],[f568,f463]) ).
fof(f1174,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK27(sK64(X0,X1)) ),
inference(resolution,[],[f568,f471]) ).
fof(f1173,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK28(sK64(X0,X1)) ),
inference(resolution,[],[f568,f473]) ).
fof(f1172,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
inference(resolution,[],[f568,f565]) ).
fof(f1171,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f568,f566]) ).
fof(f568,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f939,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK55(X0),sK18)) ),
inference(resolution,[],[f895,f538]) ).
fof(f938,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK54(X0),sK18)) ),
inference(resolution,[],[f895,f537]) ).
fof(f937,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK50(X0),sK18)) ),
inference(resolution,[],[f895,f526]) ).
fof(f936,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK49(X0),sK18)) ),
inference(resolution,[],[f895,f525]) ).
fof(f935,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK45(X0),sK18)) ),
inference(resolution,[],[f895,f514]) ).
fof(f934,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK44(X0),sK18)) ),
inference(resolution,[],[f895,f513]) ).
fof(f933,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK40(X0),sK18)) ),
inference(resolution,[],[f895,f502]) ).
fof(f932,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK39(X0),sK18)) ),
inference(resolution,[],[f895,f501]) ).
fof(f931,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK35(X0),sK18)) ),
inference(resolution,[],[f895,f491]) ).
fof(f930,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK34(X0),sK18)) ),
inference(resolution,[],[f895,f490]) ).
fof(f929,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK31(X0),sK18)) ),
inference(resolution,[],[f895,f481]) ).
fof(f1168,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK29(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1167]) ).
fof(f1167,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK29(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f617,f475]) ).
fof(f928,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK30(X0),sK18)) ),
inference(resolution,[],[f895,f480]) ).
fof(f1081,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK19)
| ~ sP0(cons(sK71,sK19),X0) ),
inference(superposition,[],[f441,f1053]) ).
fof(f1080,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK19)
| ~ sP2(cons(sK71,sK19),X0) ),
inference(superposition,[],[f449,f1053]) ).
fof(f1053,plain,
sK71 = hd(cons(sK71,sK19)),
inference(resolution,[],[f952,f607]) ).
fof(f1078,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK19)
| ~ sP0(cons(sK70,sK19),X0) ),
inference(superposition,[],[f441,f1052]) ).
fof(f1077,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK19)
| ~ sP2(cons(sK70,sK19),X0) ),
inference(superposition,[],[f449,f1052]) ).
fof(f1052,plain,
sK70 = hd(cons(sK70,sK19)),
inference(resolution,[],[f952,f606]) ).
fof(f1075,plain,
! [X0] :
( leq(X0,sK24)
| nil = cons(sK24,sK19)
| ~ sP0(cons(sK24,sK19),X0) ),
inference(superposition,[],[f441,f1034]) ).
fof(f1074,plain,
! [X0] :
( lt(X0,sK24)
| nil = cons(sK24,sK19)
| ~ sP2(cons(sK24,sK19),X0) ),
inference(superposition,[],[f449,f1034]) ).
fof(f1034,plain,
sK24 = hd(cons(sK24,sK19)),
inference(resolution,[],[f952,f384]) ).
fof(f580,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f1037,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK19))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f952,f474]) ).
fof(f1036,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f952,f470]) ).
fof(f1035,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f952,f465]) ).
fof(f1033,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f952,f467]) ).
fof(f952,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK19)) = X0 ),
inference(resolution,[],[f566,f379]) ).
fof(f1031,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK18)
| ~ sP0(cons(sK71,sK18),X0) ),
inference(superposition,[],[f441,f1023]) ).
fof(f1030,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK18)
| ~ sP2(cons(sK71,sK18),X0) ),
inference(superposition,[],[f449,f1023]) ).
fof(f1023,plain,
sK71 = hd(cons(sK71,sK18)),
inference(resolution,[],[f951,f607]) ).
fof(f1028,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK18)
| ~ sP0(cons(sK70,sK18),X0) ),
inference(superposition,[],[f441,f1022]) ).
fof(f1027,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK18)
| ~ sP2(cons(sK70,sK18),X0) ),
inference(superposition,[],[f449,f1022]) ).
fof(f1022,plain,
sK70 = hd(cons(sK70,sK18)),
inference(resolution,[],[f951,f606]) ).
fof(f1025,plain,
! [X0] :
( leq(X0,sK24)
| nil = cons(sK24,sK18)
| ~ sP0(cons(sK24,sK18),X0) ),
inference(superposition,[],[f441,f1004]) ).
fof(f1024,plain,
! [X0] :
( lt(X0,sK24)
| nil = cons(sK24,sK18)
| ~ sP2(cons(sK24,sK18),X0) ),
inference(superposition,[],[f449,f1004]) ).
fof(f1004,plain,
sK24 = hd(cons(sK24,sK18)),
inference(resolution,[],[f951,f384]) ).
fof(f1007,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK18))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f951,f474]) ).
fof(f1006,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f951,f470]) ).
fof(f1005,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f951,f465]) ).
fof(f1003,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f951,f467]) ).
fof(f951,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK18)) = X0 ),
inference(resolution,[],[f566,f378]) ).
fof(f999,plain,
sK19 = tl(cons(sK71,sK19)),
inference(resolution,[],[f896,f607]) ).
fof(f998,plain,
sK19 = tl(cons(sK70,sK19)),
inference(resolution,[],[f896,f606]) ).
fof(f980,plain,
sK19 = tl(cons(sK24,sK19)),
inference(resolution,[],[f896,f384]) ).
fof(f982,plain,
! [X0] :
( sK19 = tl(cons(sK27(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f896,f470]) ).
fof(f981,plain,
! [X0] :
( sK19 = tl(cons(sK26(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f896,f465]) ).
fof(f979,plain,
! [X0] :
( sK19 = tl(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f896,f467]) ).
fof(f896,plain,
! [X0] :
( ~ ssItem(X0)
| sK19 = tl(cons(X0,sK19)) ),
inference(resolution,[],[f565,f379]) ).
fof(f976,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK63(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f566,f552]) ).
fof(f975,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f566,f551]) ).
fof(f974,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f566,f550]) ).
fof(f973,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK58(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f566,f541]) ).
fof(f972,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f566,f540]) ).
fof(f971,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f566,f539]) ).
fof(f970,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK53(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f566,f529]) ).
fof(f969,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f566,f528]) ).
fof(f968,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f566,f527]) ).
fof(f967,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK48(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f566,f517]) ).
fof(f966,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f566,f516]) ).
fof(f965,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f566,f515]) ).
fof(f964,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f566,f505]) ).
fof(f963,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f566,f504]) ).
fof(f962,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f566,f503]) ).
fof(f961,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK38(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f566,f494]) ).
fof(f960,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f566,f493]) ).
fof(f959,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f566,f492]) ).
fof(f958,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK33(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f566,f483]) ).
fof(f957,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK32(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f566,f482]) ).
fof(f956,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK28(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f566,f472]) ).
fof(f955,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK25(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f566,f464]) ).
fof(f978,plain,
! [X0] :
( hd(cons(X0,sK19)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f954,f382]) ).
fof(f954,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ),
inference(resolution,[],[f566,f381]) ).
fof(f977,plain,
! [X0] :
( hd(cons(X0,sK18)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f953,f383]) ).
fof(f953,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ),
inference(resolution,[],[f566,f380]) ).
fof(f950,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f566,f468]) ).
fof(f948,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f566,f572]) ).
fof(f947,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f566,f562]) ).
fof(f566,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( hd(cons(X1,X0)) = X1
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f23]) ).
fof(f23,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> hd(cons(X1,X0)) = X1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f943,plain,
sK18 = tl(cons(sK71,sK18)),
inference(resolution,[],[f895,f607]) ).
fof(f942,plain,
sK18 = tl(cons(sK70,sK18)),
inference(resolution,[],[f895,f606]) ).
fof(f924,plain,
sK18 = tl(cons(sK24,sK18)),
inference(resolution,[],[f895,f384]) ).
fof(f926,plain,
! [X0] :
( sK18 = tl(cons(sK27(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f895,f470]) ).
fof(f925,plain,
! [X0] :
( sK18 = tl(cons(sK26(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f895,f465]) ).
fof(f923,plain,
! [X0] :
( sK18 = tl(cons(hd(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f895,f467]) ).
fof(f895,plain,
! [X0] :
( ~ ssItem(X0)
| sK18 = tl(cons(X0,sK18)) ),
inference(resolution,[],[f565,f378]) ).
fof(f920,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK63(X1) = tl(cons(X0,sK63(X1)))
| sP16(X1) ),
inference(resolution,[],[f565,f552]) ).
fof(f919,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK62(X1) = tl(cons(X0,sK62(X1)))
| sP16(X1) ),
inference(resolution,[],[f565,f551]) ).
fof(f918,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK61(X1) = tl(cons(X0,sK61(X1)))
| sP16(X1) ),
inference(resolution,[],[f565,f550]) ).
fof(f917,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK58(X1) = tl(cons(X0,sK58(X1)))
| sP14(X1) ),
inference(resolution,[],[f565,f541]) ).
fof(f916,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK57(X1) = tl(cons(X0,sK57(X1)))
| sP14(X1) ),
inference(resolution,[],[f565,f540]) ).
fof(f915,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK56(X1) = tl(cons(X0,sK56(X1)))
| sP14(X1) ),
inference(resolution,[],[f565,f539]) ).
fof(f914,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK53(X1) = tl(cons(X0,sK53(X1)))
| sP12(X1) ),
inference(resolution,[],[f565,f529]) ).
fof(f913,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK52(X1) = tl(cons(X0,sK52(X1)))
| sP12(X1) ),
inference(resolution,[],[f565,f528]) ).
fof(f912,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK51(X1) = tl(cons(X0,sK51(X1)))
| sP12(X1) ),
inference(resolution,[],[f565,f527]) ).
fof(f911,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK48(X1) = tl(cons(X0,sK48(X1)))
| sP10(X1) ),
inference(resolution,[],[f565,f517]) ).
fof(f910,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK47(X1) = tl(cons(X0,sK47(X1)))
| sP10(X1) ),
inference(resolution,[],[f565,f516]) ).
fof(f909,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK46(X1) = tl(cons(X0,sK46(X1)))
| sP10(X1) ),
inference(resolution,[],[f565,f515]) ).
fof(f908,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK43(X1) = tl(cons(X0,sK43(X1)))
| sP8(X1) ),
inference(resolution,[],[f565,f505]) ).
fof(f907,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK42(X1) = tl(cons(X0,sK42(X1)))
| sP8(X1) ),
inference(resolution,[],[f565,f504]) ).
fof(f906,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK41(X1) = tl(cons(X0,sK41(X1)))
| sP8(X1) ),
inference(resolution,[],[f565,f503]) ).
fof(f905,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK38(X1) = tl(cons(X0,sK38(X1)))
| sP6(X1) ),
inference(resolution,[],[f565,f494]) ).
fof(f904,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK37(X1) = tl(cons(X0,sK37(X1)))
| sP6(X1) ),
inference(resolution,[],[f565,f493]) ).
fof(f903,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK36(X1) = tl(cons(X0,sK36(X1)))
| sP6(X1) ),
inference(resolution,[],[f565,f492]) ).
fof(f902,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK33(X1) = tl(cons(X0,sK33(X1)))
| sP4(X1) ),
inference(resolution,[],[f565,f483]) ).
fof(f901,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK32(X1) = tl(cons(X0,sK32(X1)))
| sP4(X1) ),
inference(resolution,[],[f565,f482]) ).
fof(f900,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK28(X1) = tl(cons(X0,sK28(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f565,f472]) ).
fof(f899,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK25(X1) = tl(cons(X0,sK25(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f565,f464]) ).
fof(f922,plain,
! [X0] :
( sK19 = tl(cons(X0,sK19))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f898,f382]) ).
fof(f898,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ),
inference(resolution,[],[f565,f381]) ).
fof(f921,plain,
! [X0] :
( sK18 = tl(cons(X0,sK18))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f897,f383]) ).
fof(f897,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ),
inference(resolution,[],[f565,f380]) ).
fof(f894,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f565,f468]) ).
fof(f892,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f565,f572]) ).
fof(f891,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f565,f562]) ).
fof(f565,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( tl(cons(X1,X0)) = X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f25,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> tl(cons(X1,X0)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f880,plain,
! [X0] :
( nil = sK63(X0)
| tl(sK63(X0)) = sK28(sK63(X0))
| sP16(X0) ),
inference(resolution,[],[f473,f552]) ).
fof(f879,plain,
! [X0] :
( nil = sK62(X0)
| tl(sK62(X0)) = sK28(sK62(X0))
| sP16(X0) ),
inference(resolution,[],[f473,f551]) ).
fof(f878,plain,
! [X0] :
( nil = sK61(X0)
| tl(sK61(X0)) = sK28(sK61(X0))
| sP16(X0) ),
inference(resolution,[],[f473,f550]) ).
fof(f877,plain,
! [X0] :
( nil = sK58(X0)
| tl(sK58(X0)) = sK28(sK58(X0))
| sP14(X0) ),
inference(resolution,[],[f473,f541]) ).
fof(f876,plain,
! [X0] :
( nil = sK57(X0)
| tl(sK57(X0)) = sK28(sK57(X0))
| sP14(X0) ),
inference(resolution,[],[f473,f540]) ).
fof(f875,plain,
! [X0] :
( nil = sK56(X0)
| tl(sK56(X0)) = sK28(sK56(X0))
| sP14(X0) ),
inference(resolution,[],[f473,f539]) ).
fof(f874,plain,
! [X0] :
( nil = sK53(X0)
| tl(sK53(X0)) = sK28(sK53(X0))
| sP12(X0) ),
inference(resolution,[],[f473,f529]) ).
fof(f873,plain,
! [X0] :
( nil = sK52(X0)
| tl(sK52(X0)) = sK28(sK52(X0))
| sP12(X0) ),
inference(resolution,[],[f473,f528]) ).
fof(f872,plain,
! [X0] :
( nil = sK51(X0)
| tl(sK51(X0)) = sK28(sK51(X0))
| sP12(X0) ),
inference(resolution,[],[f473,f527]) ).
fof(f871,plain,
! [X0] :
( nil = sK48(X0)
| tl(sK48(X0)) = sK28(sK48(X0))
| sP10(X0) ),
inference(resolution,[],[f473,f517]) ).
fof(f870,plain,
! [X0] :
( nil = sK47(X0)
| tl(sK47(X0)) = sK28(sK47(X0))
| sP10(X0) ),
inference(resolution,[],[f473,f516]) ).
fof(f869,plain,
! [X0] :
( nil = sK46(X0)
| tl(sK46(X0)) = sK28(sK46(X0))
| sP10(X0) ),
inference(resolution,[],[f473,f515]) ).
fof(f868,plain,
! [X0] :
( nil = sK43(X0)
| tl(sK43(X0)) = sK28(sK43(X0))
| sP8(X0) ),
inference(resolution,[],[f473,f505]) ).
fof(f867,plain,
! [X0] :
( nil = sK42(X0)
| tl(sK42(X0)) = sK28(sK42(X0))
| sP8(X0) ),
inference(resolution,[],[f473,f504]) ).
fof(f866,plain,
! [X0] :
( nil = sK41(X0)
| tl(sK41(X0)) = sK28(sK41(X0))
| sP8(X0) ),
inference(resolution,[],[f473,f503]) ).
fof(f865,plain,
! [X0] :
( nil = sK38(X0)
| tl(sK38(X0)) = sK28(sK38(X0))
| sP6(X0) ),
inference(resolution,[],[f473,f494]) ).
fof(f864,plain,
! [X0] :
( nil = sK37(X0)
| tl(sK37(X0)) = sK28(sK37(X0))
| sP6(X0) ),
inference(resolution,[],[f473,f493]) ).
fof(f863,plain,
! [X0] :
( nil = sK36(X0)
| tl(sK36(X0)) = sK28(sK36(X0))
| sP6(X0) ),
inference(resolution,[],[f473,f492]) ).
fof(f862,plain,
! [X0] :
( nil = sK33(X0)
| tl(sK33(X0)) = sK28(sK33(X0))
| sP4(X0) ),
inference(resolution,[],[f473,f483]) ).
fof(f861,plain,
! [X0] :
( nil = sK32(X0)
| tl(sK32(X0)) = sK28(sK32(X0))
| sP4(X0) ),
inference(resolution,[],[f473,f482]) ).
fof(f860,plain,
! [X0] :
( nil = sK28(X0)
| tl(sK28(X0)) = sK28(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f473,f472]) ).
fof(f859,plain,
! [X0] :
( nil = sK25(X0)
| tl(sK25(X0)) = sK28(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f473,f464]) ).
fof(f854,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK28(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f473,f468]) ).
fof(f852,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK28(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f473,f572]) ).
fof(f881,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f851,f563]) ).
fof(f851,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f473,f562]) ).
fof(f840,plain,
! [X0] :
( nil = sK63(X0)
| hd(sK63(X0)) = sK27(sK63(X0))
| sP16(X0) ),
inference(resolution,[],[f471,f552]) ).
fof(f839,plain,
! [X0] :
( nil = sK62(X0)
| hd(sK62(X0)) = sK27(sK62(X0))
| sP16(X0) ),
inference(resolution,[],[f471,f551]) ).
fof(f838,plain,
! [X0] :
( nil = sK61(X0)
| hd(sK61(X0)) = sK27(sK61(X0))
| sP16(X0) ),
inference(resolution,[],[f471,f550]) ).
fof(f837,plain,
! [X0] :
( nil = sK58(X0)
| hd(sK58(X0)) = sK27(sK58(X0))
| sP14(X0) ),
inference(resolution,[],[f471,f541]) ).
fof(f836,plain,
! [X0] :
( nil = sK57(X0)
| hd(sK57(X0)) = sK27(sK57(X0))
| sP14(X0) ),
inference(resolution,[],[f471,f540]) ).
fof(f835,plain,
! [X0] :
( nil = sK56(X0)
| hd(sK56(X0)) = sK27(sK56(X0))
| sP14(X0) ),
inference(resolution,[],[f471,f539]) ).
fof(f834,plain,
! [X0] :
( nil = sK53(X0)
| hd(sK53(X0)) = sK27(sK53(X0))
| sP12(X0) ),
inference(resolution,[],[f471,f529]) ).
fof(f833,plain,
! [X0] :
( nil = sK52(X0)
| hd(sK52(X0)) = sK27(sK52(X0))
| sP12(X0) ),
inference(resolution,[],[f471,f528]) ).
fof(f832,plain,
! [X0] :
( nil = sK51(X0)
| hd(sK51(X0)) = sK27(sK51(X0))
| sP12(X0) ),
inference(resolution,[],[f471,f527]) ).
fof(f831,plain,
! [X0] :
( nil = sK48(X0)
| hd(sK48(X0)) = sK27(sK48(X0))
| sP10(X0) ),
inference(resolution,[],[f471,f517]) ).
fof(f830,plain,
! [X0] :
( nil = sK47(X0)
| hd(sK47(X0)) = sK27(sK47(X0))
| sP10(X0) ),
inference(resolution,[],[f471,f516]) ).
fof(f829,plain,
! [X0] :
( nil = sK46(X0)
| hd(sK46(X0)) = sK27(sK46(X0))
| sP10(X0) ),
inference(resolution,[],[f471,f515]) ).
fof(f828,plain,
! [X0] :
( nil = sK43(X0)
| hd(sK43(X0)) = sK27(sK43(X0))
| sP8(X0) ),
inference(resolution,[],[f471,f505]) ).
fof(f827,plain,
! [X0] :
( nil = sK42(X0)
| hd(sK42(X0)) = sK27(sK42(X0))
| sP8(X0) ),
inference(resolution,[],[f471,f504]) ).
fof(f826,plain,
! [X0] :
( nil = sK41(X0)
| hd(sK41(X0)) = sK27(sK41(X0))
| sP8(X0) ),
inference(resolution,[],[f471,f503]) ).
fof(f825,plain,
! [X0] :
( nil = sK38(X0)
| hd(sK38(X0)) = sK27(sK38(X0))
| sP6(X0) ),
inference(resolution,[],[f471,f494]) ).
fof(f824,plain,
! [X0] :
( nil = sK37(X0)
| hd(sK37(X0)) = sK27(sK37(X0))
| sP6(X0) ),
inference(resolution,[],[f471,f493]) ).
fof(f823,plain,
! [X0] :
( nil = sK36(X0)
| hd(sK36(X0)) = sK27(sK36(X0))
| sP6(X0) ),
inference(resolution,[],[f471,f492]) ).
fof(f822,plain,
! [X0] :
( nil = sK33(X0)
| hd(sK33(X0)) = sK27(sK33(X0))
| sP4(X0) ),
inference(resolution,[],[f471,f483]) ).
fof(f821,plain,
! [X0] :
( nil = sK32(X0)
| hd(sK32(X0)) = sK27(sK32(X0))
| sP4(X0) ),
inference(resolution,[],[f471,f482]) ).
fof(f820,plain,
! [X0] :
( nil = sK28(X0)
| hd(sK28(X0)) = sK27(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f471,f472]) ).
fof(f819,plain,
! [X0] :
( nil = sK25(X0)
| hd(sK25(X0)) = sK27(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f471,f464]) ).
fof(f814,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK27(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f471,f468]) ).
fof(f812,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK27(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f471,f572]) ).
fof(f841,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f811,f563]) ).
fof(f811,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f471,f562]) ).
fof(f810,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f449,f414]) ).
fof(f809,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f449,f424]) ).
fof(f808,plain,
! [X0] :
( nil = X0
| ~ sP2(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f449,f402]) ).
fof(f796,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f795]) ).
fof(f795,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f420,f412]) ).
fof(f793,plain,
! [X0] :
( sK63(X0) = app(nil,sK63(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f733,f677]) ).
fof(f733,plain,
! [X0] :
( sP16(X0)
| sK63(X0) = app(nil,sK63(X0)) ),
inference(resolution,[],[f463,f552]) ).
fof(f792,plain,
! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f732,f677]) ).
fof(f732,plain,
! [X0] :
( sP16(X0)
| sK62(X0) = app(nil,sK62(X0)) ),
inference(resolution,[],[f463,f551]) ).
fof(f791,plain,
! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f731,f677]) ).
fof(f731,plain,
! [X0] :
( sP16(X0)
| sK61(X0) = app(nil,sK61(X0)) ),
inference(resolution,[],[f463,f550]) ).
fof(f790,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f730,f675]) ).
fof(f730,plain,
! [X0] :
( sP14(X0)
| sK58(X0) = app(nil,sK58(X0)) ),
inference(resolution,[],[f463,f541]) ).
fof(f789,plain,
! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f729,f675]) ).
fof(f729,plain,
! [X0] :
( sP14(X0)
| sK57(X0) = app(nil,sK57(X0)) ),
inference(resolution,[],[f463,f540]) ).
fof(f788,plain,
! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f728,f675]) ).
fof(f728,plain,
! [X0] :
( sP14(X0)
| sK56(X0) = app(nil,sK56(X0)) ),
inference(resolution,[],[f463,f539]) ).
fof(f727,plain,
! [X0] :
( sP12(X0)
| sK53(X0) = app(nil,sK53(X0)) ),
inference(resolution,[],[f463,f529]) ).
fof(f726,plain,
! [X0] :
( sP12(X0)
| sK52(X0) = app(nil,sK52(X0)) ),
inference(resolution,[],[f463,f528]) ).
fof(f725,plain,
! [X0] :
( sP12(X0)
| sK51(X0) = app(nil,sK51(X0)) ),
inference(resolution,[],[f463,f527]) ).
fof(f724,plain,
! [X0] :
( sP10(X0)
| sK48(X0) = app(nil,sK48(X0)) ),
inference(resolution,[],[f463,f517]) ).
fof(f723,plain,
! [X0] :
( sP10(X0)
| sK47(X0) = app(nil,sK47(X0)) ),
inference(resolution,[],[f463,f516]) ).
fof(f722,plain,
! [X0] :
( sP10(X0)
| sK46(X0) = app(nil,sK46(X0)) ),
inference(resolution,[],[f463,f515]) ).
fof(f721,plain,
! [X0] :
( sP8(X0)
| sK43(X0) = app(nil,sK43(X0)) ),
inference(resolution,[],[f463,f505]) ).
fof(f720,plain,
! [X0] :
( sP8(X0)
| sK42(X0) = app(nil,sK42(X0)) ),
inference(resolution,[],[f463,f504]) ).
fof(f719,plain,
! [X0] :
( sP8(X0)
| sK41(X0) = app(nil,sK41(X0)) ),
inference(resolution,[],[f463,f503]) ).
fof(f718,plain,
! [X0] :
( sP6(X0)
| sK38(X0) = app(nil,sK38(X0)) ),
inference(resolution,[],[f463,f494]) ).
fof(f717,plain,
! [X0] :
( sP6(X0)
| sK37(X0) = app(nil,sK37(X0)) ),
inference(resolution,[],[f463,f493]) ).
fof(f716,plain,
! [X0] :
( sP6(X0)
| sK36(X0) = app(nil,sK36(X0)) ),
inference(resolution,[],[f463,f492]) ).
fof(f715,plain,
! [X0] :
( sP4(X0)
| sK33(X0) = app(nil,sK33(X0)) ),
inference(resolution,[],[f463,f483]) ).
fof(f714,plain,
! [X0] :
( sP4(X0)
| sK32(X0) = app(nil,sK32(X0)) ),
inference(resolution,[],[f463,f482]) ).
fof(f776,plain,
! [X0] :
( sK63(X0) = app(sK63(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f706,f677]) ).
fof(f706,plain,
! [X0] :
( sP16(X0)
| sK63(X0) = app(sK63(X0),nil) ),
inference(resolution,[],[f462,f552]) ).
fof(f775,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f705,f677]) ).
fof(f705,plain,
! [X0] :
( sP16(X0)
| sK62(X0) = app(sK62(X0),nil) ),
inference(resolution,[],[f462,f551]) ).
fof(f774,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f704,f677]) ).
fof(f704,plain,
! [X0] :
( sP16(X0)
| sK61(X0) = app(sK61(X0),nil) ),
inference(resolution,[],[f462,f550]) ).
fof(f773,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f703,f675]) ).
fof(f703,plain,
! [X0] :
( sP14(X0)
| sK58(X0) = app(sK58(X0),nil) ),
inference(resolution,[],[f462,f541]) ).
fof(f772,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f702,f675]) ).
fof(f702,plain,
! [X0] :
( sP14(X0)
| sK57(X0) = app(sK57(X0),nil) ),
inference(resolution,[],[f462,f540]) ).
fof(f771,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f701,f675]) ).
fof(f701,plain,
! [X0] :
( sP14(X0)
| sK56(X0) = app(sK56(X0),nil) ),
inference(resolution,[],[f462,f539]) ).
fof(f700,plain,
! [X0] :
( sP12(X0)
| sK53(X0) = app(sK53(X0),nil) ),
inference(resolution,[],[f462,f529]) ).
fof(f699,plain,
! [X0] :
( sP12(X0)
| sK52(X0) = app(sK52(X0),nil) ),
inference(resolution,[],[f462,f528]) ).
fof(f698,plain,
! [X0] :
( sP12(X0)
| sK51(X0) = app(sK51(X0),nil) ),
inference(resolution,[],[f462,f527]) ).
fof(f697,plain,
! [X0] :
( sP10(X0)
| sK48(X0) = app(sK48(X0),nil) ),
inference(resolution,[],[f462,f517]) ).
fof(f696,plain,
! [X0] :
( sP10(X0)
| sK47(X0) = app(sK47(X0),nil) ),
inference(resolution,[],[f462,f516]) ).
fof(f695,plain,
! [X0] :
( sP10(X0)
| sK46(X0) = app(sK46(X0),nil) ),
inference(resolution,[],[f462,f515]) ).
fof(f694,plain,
! [X0] :
( sP8(X0)
| sK43(X0) = app(sK43(X0),nil) ),
inference(resolution,[],[f462,f505]) ).
fof(f693,plain,
! [X0] :
( sP8(X0)
| sK42(X0) = app(sK42(X0),nil) ),
inference(resolution,[],[f462,f504]) ).
fof(f692,plain,
! [X0] :
( sP8(X0)
| sK41(X0) = app(sK41(X0),nil) ),
inference(resolution,[],[f462,f503]) ).
fof(f691,plain,
! [X0] :
( sP6(X0)
| sK38(X0) = app(sK38(X0),nil) ),
inference(resolution,[],[f462,f494]) ).
fof(f690,plain,
! [X0] :
( sP6(X0)
| sK37(X0) = app(sK37(X0),nil) ),
inference(resolution,[],[f462,f493]) ).
fof(f689,plain,
! [X0] :
( sP6(X0)
| sK36(X0) = app(sK36(X0),nil) ),
inference(resolution,[],[f462,f492]) ).
fof(f688,plain,
! [X0] :
( sP4(X0)
| sK33(X0) = app(sK33(X0),nil) ),
inference(resolution,[],[f462,f483]) ).
fof(f687,plain,
! [X0] :
( sP4(X0)
| sK32(X0) = app(sK32(X0),nil) ),
inference(resolution,[],[f462,f482]) ).
fof(f564,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f18]) ).
fof(f18,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) != X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f563,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f21]) ).
fof(f21,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> nil != cons(X1,X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f764,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f572,f462]) ).
fof(f763,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f572,f463]) ).
fof(f572,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f762,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f562,f462]) ).
fof(f761,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f562,f463]) ).
fof(f562,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,plain,
! [X0] :
( ! [X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ssList(cons(X1,X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f560,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f353,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f178]) ).
fof(f178,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f558,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f352]) ).
fof(f745,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK28(X0) = app(sK28(X0),nil) ),
inference(resolution,[],[f472,f462]) ).
fof(f744,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK28(X0) = app(nil,sK28(X0)) ),
inference(resolution,[],[f472,f463]) ).
fof(f743,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f468,f462]) ).
fof(f742,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f468,f463]) ).
fof(f741,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(sK25(X0),nil) ),
inference(resolution,[],[f464,f462]) ).
fof(f740,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(nil,sK25(X0)) ),
inference(resolution,[],[f464,f463]) ).
fof(f711,plain,
sK19 = app(nil,sK19),
inference(resolution,[],[f463,f379]) ).
fof(f710,plain,
sK18 = app(nil,sK18),
inference(resolution,[],[f463,f378]) ).
fof(f735,plain,
sK19 = app(nil,sK19),
inference(forward_demodulation,[],[f713,f382]) ).
fof(f713,plain,
sK21 = app(nil,sK21),
inference(resolution,[],[f463,f381]) ).
fof(f734,plain,
sK18 = app(nil,sK18),
inference(forward_demodulation,[],[f712,f383]) ).
fof(f712,plain,
sK20 = app(nil,sK20),
inference(resolution,[],[f463,f380]) ).
fof(f684,plain,
sK19 = app(sK19,nil),
inference(resolution,[],[f462,f379]) ).
fof(f683,plain,
sK18 = app(sK18,nil),
inference(resolution,[],[f462,f378]) ).
fof(f708,plain,
sK19 = app(sK19,nil),
inference(forward_demodulation,[],[f686,f382]) ).
fof(f686,plain,
sK21 = app(sK21,nil),
inference(resolution,[],[f462,f381]) ).
fof(f707,plain,
sK18 = app(sK18,nil),
inference(forward_demodulation,[],[f685,f383]) ).
fof(f685,plain,
sK20 = app(sK20,nil),
inference(resolution,[],[f462,f380]) ).
fof(f677,plain,
! [X0] :
( ~ sP16(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f546,f555]) ).
fof(f676,plain,
! [X0] :
( sP16(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f545,f555]) ).
fof(f675,plain,
! [X0] :
( ~ sP14(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f535,f544]) ).
fof(f674,plain,
! [X0] :
( sP14(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f534,f544]) ).
fof(f673,plain,
! [X0] :
( sP12(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f522,f533]) ).
fof(f672,plain,
! [X0] :
( sP10(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f510,f521]) ).
fof(f671,plain,
! [X0] :
( sP8(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f498,f509]) ).
fof(f670,plain,
! [X0] :
( sP6(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f487,f497]) ).
fof(f669,plain,
! [X0] :
( sP4(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f477,f486]) ).
fof(f644,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f418,f420,f419,f422,f421,f425,f424,f640,f426,f427,f428,f429,f430,f433,f639,f431,f638,f435,f434,f438,f437,f443,f613,f441,f440,f444,f446,f445,f451,f615,f449,f448,f452,f455,f454,f453,f456,f457,f458,f459,f460,f461,f462,f463,f466,f465,f464,f467,f468,f469,f471,f470,f473,f472,f617,f475,f474,f477,f485,f484,f483,f482,f481,f480,f618,f486,f487,f496,f495,f494,f493,f492,f491,f490,f637,f497,f498,f508,f507,f506,f505,f504,f503,f502,f501,f621,f509,f510,f520,f519,f518,f517,f516,f515,f514,f513,f622,f521,f522,f532,f531,f530,f529,f528,f527,f526,f525,f623,f533,f535,f534,f543,f542,f541,f540,f539,f538,f537,f624,f544,f546,f545,f554,f553,f552,f551,f550,f549,f548,f625,f555,f626,f641,f556,f627,f642,f558,f628,f643,f560,f562,f563,f564,f565,f566,f567,f629,f570,f569,f568,f572,f573,f574,f575,f576,f577,f578,f580,f631,f582,f581,f632,f586,f585,f584,f633,f589,f588,f636]) ).
fof(f658,plain,
( nil = sK18
| nil != sK21 ),
inference(forward_demodulation,[],[f387,f383]) ).
fof(f647,plain,
( ~ neq(sK19,nil)
| ssItem(sK22) ),
inference(forward_demodulation,[],[f388,f382]) ).
fof(f643,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f386,f385,f384,f383,f382,f381,f380,f379,f378,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f418,f420,f419,f422,f421,f425,f424,f640,f426,f427,f428,f429,f430,f433,f639,f431,f638,f435,f434,f438,f437,f443,f613,f441,f440,f444,f446,f445,f451,f615,f449,f448,f452,f455,f454,f453,f456,f457,f458,f459,f460,f461,f462,f463,f466,f465,f464,f467,f468,f469,f471,f470,f473,f472,f617,f475,f474,f477,f485,f484,f483,f482,f481,f480,f618,f486,f487,f496,f495,f494,f493,f492,f491,f490,f637,f497,f498,f508,f507,f506,f505,f504,f503,f502,f501,f621,f509,f510,f520,f519,f518,f517,f516,f515,f514,f513,f622,f521,f522,f532,f531,f530,f529,f528,f527,f526,f525,f623,f533,f535,f534,f543,f542,f541,f540,f539,f538,f537,f624,f544,f546,f545,f554,f553,f552,f551,f550,f549,f548,f625,f555,f626,f641,f556,f627,f642,f558,f628]) ).
fof(f608,plain,
sK70 != sK71,
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
( sK70 != sK71
& ssItem(sK71)
& ssItem(sK70) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f2,f376,f375]) ).
fof(f375,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK70 != X1
& ssItem(X1) )
& ssItem(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f376,plain,
( ? [X1] :
( sK70 != X1
& ssItem(X1) )
=> ( sK70 != sK71
& ssItem(sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f607,plain,
ssItem(sK71),
inference(cnf_transformation,[],[f377]) ).
fof(f606,plain,
ssItem(sK70),
inference(cnf_transformation,[],[f377]) ).
fof(f636,plain,
( nil = app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f635]) ).
fof(f635,plain,
( nil = app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f634]) ).
fof(f634,plain,
! [X1] :
( nil = app(nil,X1)
| nil != X1
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f593]) ).
fof(f593,plain,
! [X0,X1] :
( nil = app(X0,X1)
| nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f374]) ).
fof(f633,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f590]) ).
fof(f590,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f372]) ).
fof(f631,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f583]) ).
fof(f583,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f628,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f561]) ).
fof(f561,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f353]) ).
fof(f11579,plain,
( nil != tl(sK19)
| nil = sK66(nil,nil)
| ~ ssList(sK66(nil,nil))
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(inner_rewriting,[],[f11578]) ).
fof(f11578,plain,
( nil != tl(sK19)
| nil = sK66(tl(sK19),nil)
| ~ ssList(sK66(tl(sK19),nil))
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(subsumption_resolution,[],[f11562,f400]) ).
fof(f11562,plain,
( nil != tl(sK19)
| nil = sK66(tl(sK19),nil)
| ~ ssList(nil)
| ~ ssList(sK66(tl(sK19),nil))
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(superposition,[],[f592,f10125]) ).
fof(f10125,plain,
( tl(sK19) = app(sK66(tl(sK19),nil),nil)
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(forward_demodulation,[],[f10081,f5054]) ).
fof(f5054,plain,
( tl(sK19) = sK25(sK19)
| spl72_3
| ~ spl72_11
| ~ spl72_15
| ~ spl72_21 ),
inference(forward_demodulation,[],[f5028,f1996]) ).
fof(f1996,plain,
( sK19 = cons(hd(sK19),sK25(sK19))
| spl72_3
| ~ spl72_11
| ~ spl72_21 ),
inference(superposition,[],[f1374,f1995]) ).
fof(f1995,plain,
( hd(sK19) = sK26(sK19)
| spl72_3
| ~ spl72_11
| ~ spl72_21 ),
inference(forward_demodulation,[],[f1975,f1374]) ).
fof(f1975,plain,
( sK26(sK19) = hd(cons(sK26(sK19),sK25(sK19)))
| ~ spl72_11
| ~ spl72_21 ),
inference(resolution,[],[f1954,f1562]) ).
fof(f1562,plain,
( ssItem(sK26(sK19))
| ~ spl72_11 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1954,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK25(sK19))) = X0 )
| ~ spl72_21 ),
inference(resolution,[],[f1936,f566]) ).
fof(f1936,plain,
( ssList(sK25(sK19))
| ~ spl72_21 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1374,plain,
( sK19 = cons(sK26(sK19),sK25(sK19))
| spl72_3 ),
inference(subsumption_resolution,[],[f1340,f668]) ).
fof(f668,plain,
( nil != sK19
| spl72_3 ),
inference(superposition,[],[f662,f382]) ).
fof(f662,plain,
( nil != sK21
| spl72_3 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f1340,plain,
( nil = sK19
| sK19 = cons(sK26(sK19),sK25(sK19)) ),
inference(resolution,[],[f466,f379]) ).
fof(f5028,plain,
( sK25(sK19) = tl(cons(hd(sK19),sK25(sK19)))
| ~ spl72_15
| ~ spl72_21 ),
inference(resolution,[],[f1953,f1643]) ).
fof(f1643,plain,
( ssItem(hd(sK19))
| ~ spl72_15 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1953,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK25(sK19) = tl(cons(X0,sK25(sK19))) )
| ~ spl72_21 ),
inference(resolution,[],[f1936,f565]) ).
fof(f10081,plain,
( sK25(sK19) = app(sK66(sK25(sK19),nil),nil)
| ~ spl72_21 ),
inference(resolution,[],[f2656,f1936]) ).
fof(f11652,plain,
( ~ spl72_2
| ~ spl72_85
| spl72_91 ),
inference(avatar_contradiction_clause,[],[f11651]) ).
fof(f11651,plain,
( $false
| ~ spl72_2
| ~ spl72_85
| spl72_91 ),
inference(subsumption_resolution,[],[f11650,f1065]) ).
fof(f11650,plain,
( ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_85
| spl72_91 ),
inference(subsumption_resolution,[],[f11649,f11631]) ).
fof(f11631,plain,
( frontsegP(sK23,sK23)
| ~ spl72_2
| ~ spl72_85 ),
inference(forward_demodulation,[],[f11630,f10222]) ).
fof(f10222,plain,
( sK23 = sK66(sK23,nil)
| ~ spl72_2
| ~ spl72_85 ),
inference(forward_demodulation,[],[f10207,f10078]) ).
fof(f10078,plain,
( sK23 = app(sK66(sK23,nil),nil)
| ~ spl72_2 ),
inference(resolution,[],[f2656,f1065]) ).
fof(f10207,plain,
( sK66(sK23,nil) = app(sK66(sK23,nil),nil)
| ~ spl72_85 ),
inference(resolution,[],[f10184,f462]) ).
fof(f10184,plain,
( ssList(sK66(sK23,nil))
| ~ spl72_85 ),
inference(avatar_component_clause,[],[f10183]) ).
fof(f10183,plain,
( spl72_85
<=> ssList(sK66(sK23,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_85])]) ).
fof(f11630,plain,
( frontsegP(sK23,sK66(sK23,nil))
| ~ spl72_2
| ~ spl72_85 ),
inference(subsumption_resolution,[],[f10168,f10184]) ).
fof(f10168,plain,
( frontsegP(sK23,sK66(sK23,nil))
| ~ ssList(sK66(sK23,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f10153,f400]) ).
fof(f10153,plain,
( frontsegP(sK23,sK66(sK23,nil))
| ~ ssList(nil)
| ~ ssList(sK66(sK23,nil))
| ~ spl72_2 ),
inference(superposition,[],[f2231,f10078]) ).
fof(f11649,plain,
( ~ frontsegP(sK23,sK23)
| ~ ssList(sK23)
| spl72_91 ),
inference(duplicate_literal_removal,[],[f11648]) ).
fof(f11648,plain,
( ~ frontsegP(sK23,sK23)
| ~ ssList(sK23)
| ~ ssList(sK23)
| spl72_91 ),
inference(resolution,[],[f11642,f588]) ).
fof(f11642,plain,
( ~ ssList(sK69(sK23,sK23))
| spl72_91 ),
inference(avatar_component_clause,[],[f11640]) ).
fof(f11640,plain,
( spl72_91
<=> ssList(sK69(sK23,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_91])]) ).
fof(f11647,plain,
( ~ spl72_91
| spl72_92
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f10412,f654,f11644,f11640]) ).
fof(f11644,plain,
( spl72_92
<=> nil = sK69(sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_92])]) ).
fof(f10412,plain,
( nil = sK69(sK23,sK23)
| ~ ssList(sK69(sK23,sK23))
| ~ spl72_2 ),
inference(trivial_inequality_removal,[],[f10395]) ).
fof(f10395,plain,
( sK23 != sK23
| nil = sK69(sK23,sK23)
| ~ ssList(sK69(sK23,sK23))
| ~ spl72_2 ),
inference(superposition,[],[f4353,f10303]) ).
fof(f10303,plain,
( sK23 = app(sK23,sK69(sK23,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f2737,f1065]) ).
fof(f4353,plain,
( ! [X0] :
( sK23 != app(sK23,X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f4352,f1065]) ).
fof(f4352,plain,
( ! [X0] :
( sK23 != app(sK23,X0)
| nil = X0
| ~ ssList(sK23)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f4257,f400]) ).
fof(f4257,plain,
( ! [X0] :
( sK23 != app(sK23,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f601,f1071]) ).
fof(f1071,plain,
( sK23 = app(sK23,nil)
| ~ spl72_2 ),
inference(resolution,[],[f1065,f462]) ).
fof(f11495,plain,
( ~ spl72_2
| spl72_89 ),
inference(avatar_contradiction_clause,[],[f11494]) ).
fof(f11494,plain,
( $false
| ~ spl72_2
| spl72_89 ),
inference(subsumption_resolution,[],[f11493,f1065]) ).
fof(f11493,plain,
( ~ ssList(sK23)
| ~ spl72_2
| spl72_89 ),
inference(resolution,[],[f11490,f461]) ).
fof(f11490,plain,
( ~ rearsegP(sK23,sK23)
| ~ spl72_2
| spl72_89 ),
inference(subsumption_resolution,[],[f11489,f1065]) ).
fof(f11489,plain,
( ~ rearsegP(sK23,sK23)
| ~ ssList(sK23)
| spl72_89 ),
inference(duplicate_literal_removal,[],[f11488]) ).
fof(f11488,plain,
( ~ rearsegP(sK23,sK23)
| ~ ssList(sK23)
| ~ ssList(sK23)
| spl72_89 ),
inference(resolution,[],[f11482,f581]) ).
fof(f11482,plain,
( ~ ssList(sK66(sK23,sK23))
| spl72_89 ),
inference(avatar_component_clause,[],[f11480]) ).
fof(f11480,plain,
( spl72_89
<=> ssList(sK66(sK23,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_89])]) ).
fof(f11487,plain,
( ~ spl72_89
| spl72_90
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f9957,f654,f11484,f11480]) ).
fof(f11484,plain,
( spl72_90
<=> nil = sK66(sK23,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_90])]) ).
fof(f9957,plain,
( nil = sK66(sK23,sK23)
| ~ ssList(sK66(sK23,sK23))
| ~ spl72_2 ),
inference(trivial_inequality_removal,[],[f9940]) ).
fof(f9940,plain,
( sK23 != sK23
| nil = sK66(sK23,sK23)
| ~ ssList(sK66(sK23,sK23))
| ~ spl72_2 ),
inference(superposition,[],[f4018,f9883]) ).
fof(f9883,plain,
( sK23 = app(sK66(sK23,sK23),sK23)
| ~ spl72_2 ),
inference(resolution,[],[f2651,f1065]) ).
fof(f4018,plain,
( ! [X0] :
( sK23 != app(X0,sK23)
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f4017,f1065]) ).
fof(f4017,plain,
( ! [X0] :
( sK23 != app(X0,sK23)
| nil = X0
| ~ ssList(sK23)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f3907,f400]) ).
fof(f3907,plain,
( ! [X0] :
( sK23 != app(X0,sK23)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f600,f1070]) ).
fof(f1070,plain,
( sK23 = app(nil,sK23)
| ~ spl72_2 ),
inference(resolution,[],[f1065,f463]) ).
fof(f10577,plain,
( ~ spl72_2
| spl72_87
| ~ spl72_88 ),
inference(avatar_contradiction_clause,[],[f10576]) ).
fof(f10576,plain,
( $false
| ~ spl72_2
| spl72_87
| ~ spl72_88 ),
inference(subsumption_resolution,[],[f10575,f1065]) ).
fof(f10575,plain,
( ~ ssList(sK23)
| spl72_87
| ~ spl72_88 ),
inference(subsumption_resolution,[],[f10574,f400]) ).
fof(f10574,plain,
( ~ ssList(nil)
| ~ ssList(sK23)
| spl72_87
| ~ spl72_88 ),
inference(subsumption_resolution,[],[f10573,f10560]) ).
fof(f10560,plain,
( frontsegP(sK23,nil)
| ~ spl72_88 ),
inference(avatar_component_clause,[],[f10558]) ).
fof(f10558,plain,
( spl72_88
<=> frontsegP(sK23,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_88])]) ).
fof(f10573,plain,
( ~ frontsegP(sK23,nil)
| ~ ssList(nil)
| ~ ssList(sK23)
| spl72_87 ),
inference(resolution,[],[f10556,f588]) ).
fof(f10556,plain,
( ~ ssList(sK69(sK23,nil))
| spl72_87 ),
inference(avatar_component_clause,[],[f10554]) ).
fof(f10554,plain,
( spl72_87
<=> ssList(sK69(sK23,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_87])]) ).
fof(f10568,plain,
( ~ spl72_2
| spl72_88 ),
inference(avatar_contradiction_clause,[],[f10567]) ).
fof(f10567,plain,
( $false
| ~ spl72_2
| spl72_88 ),
inference(subsumption_resolution,[],[f10563,f1065]) ).
fof(f10563,plain,
( ~ ssList(sK23)
| spl72_88 ),
inference(resolution,[],[f10559,f459]) ).
fof(f10559,plain,
( ~ frontsegP(sK23,nil)
| spl72_88 ),
inference(avatar_component_clause,[],[f10558]) ).
fof(f10566,plain,
( ~ spl72_2
| spl72_88 ),
inference(avatar_contradiction_clause,[],[f10565]) ).
fof(f10565,plain,
( $false
| ~ spl72_2
| spl72_88 ),
inference(subsumption_resolution,[],[f10564,f400]) ).
fof(f10564,plain,
( ~ ssList(nil)
| ~ spl72_2
| spl72_88 ),
inference(subsumption_resolution,[],[f10562,f643]) ).
fof(f10562,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ spl72_2
| spl72_88 ),
inference(resolution,[],[f10559,f2970]) ).
fof(f2970,plain,
( ! [X0] :
( frontsegP(sK23,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2969,f400]) ).
fof(f2969,plain,
( ! [X0] :
( frontsegP(sK23,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2943,f1065]) ).
fof(f2943,plain,
( ! [X0] :
( frontsegP(sK23,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl72_2 ),
inference(superposition,[],[f599,f1070]) ).
fof(f10561,plain,
( ~ spl72_87
| spl72_88
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f10552,f654,f10558,f10554]) ).
fof(f10552,plain,
( frontsegP(sK23,nil)
| ~ ssList(sK69(sK23,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f10538,f400]) ).
fof(f10538,plain,
( frontsegP(sK23,nil)
| ~ ssList(sK69(sK23,nil))
| ~ ssList(nil)
| ~ spl72_2 ),
inference(superposition,[],[f2231,f10461]) ).
fof(f10461,plain,
( sK23 = app(nil,sK69(sK23,nil))
| ~ spl72_2 ),
inference(resolution,[],[f2738,f1065]) ).
fof(f10206,plain,
( ~ spl72_2
| spl72_85
| ~ spl72_86 ),
inference(avatar_contradiction_clause,[],[f10205]) ).
fof(f10205,plain,
( $false
| ~ spl72_2
| spl72_85
| ~ spl72_86 ),
inference(subsumption_resolution,[],[f10204,f1065]) ).
fof(f10204,plain,
( ~ ssList(sK23)
| spl72_85
| ~ spl72_86 ),
inference(subsumption_resolution,[],[f10203,f400]) ).
fof(f10203,plain,
( ~ ssList(nil)
| ~ ssList(sK23)
| spl72_85
| ~ spl72_86 ),
inference(subsumption_resolution,[],[f10202,f10189]) ).
fof(f10189,plain,
( rearsegP(sK23,nil)
| ~ spl72_86 ),
inference(avatar_component_clause,[],[f10187]) ).
fof(f10187,plain,
( spl72_86
<=> rearsegP(sK23,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_86])]) ).
fof(f10202,plain,
( ~ rearsegP(sK23,nil)
| ~ ssList(nil)
| ~ ssList(sK23)
| spl72_85 ),
inference(resolution,[],[f10185,f581]) ).
fof(f10185,plain,
( ~ ssList(sK66(sK23,nil))
| spl72_85 ),
inference(avatar_component_clause,[],[f10183]) ).
fof(f10197,plain,
( ~ spl72_2
| spl72_86 ),
inference(avatar_contradiction_clause,[],[f10196]) ).
fof(f10196,plain,
( $false
| ~ spl72_2
| spl72_86 ),
inference(subsumption_resolution,[],[f10195,f400]) ).
fof(f10195,plain,
( ~ ssList(nil)
| ~ spl72_2
| spl72_86 ),
inference(subsumption_resolution,[],[f10192,f642]) ).
fof(f10192,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ spl72_2
| spl72_86 ),
inference(resolution,[],[f10188,f2861]) ).
fof(f2861,plain,
( ! [X0] :
( rearsegP(sK23,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2860,f400]) ).
fof(f2860,plain,
( ! [X0] :
( rearsegP(sK23,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2830,f1065]) ).
fof(f2830,plain,
( ! [X0] :
( rearsegP(sK23,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl72_2 ),
inference(superposition,[],[f598,f1071]) ).
fof(f10188,plain,
( ~ rearsegP(sK23,nil)
| spl72_86 ),
inference(avatar_component_clause,[],[f10187]) ).
fof(f10194,plain,
( ~ spl72_2
| spl72_86 ),
inference(avatar_contradiction_clause,[],[f10193]) ).
fof(f10193,plain,
( $false
| ~ spl72_2
| spl72_86 ),
inference(subsumption_resolution,[],[f10191,f1065]) ).
fof(f10191,plain,
( ~ ssList(sK23)
| spl72_86 ),
inference(resolution,[],[f10188,f457]) ).
fof(f10190,plain,
( ~ spl72_85
| spl72_86
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f10167,f654,f10187,f10183]) ).
fof(f10167,plain,
( rearsegP(sK23,nil)
| ~ ssList(sK66(sK23,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f10152,f400]) ).
fof(f10152,plain,
( rearsegP(sK23,nil)
| ~ ssList(sK66(sK23,nil))
| ~ ssList(nil)
| ~ spl72_2 ),
inference(superposition,[],[f2110,f10078]) ).
fof(f9584,plain,
spl72_83,
inference(avatar_contradiction_clause,[],[f9583]) ).
fof(f9583,plain,
( $false
| spl72_83 ),
inference(subsumption_resolution,[],[f9582,f379]) ).
fof(f9582,plain,
( ~ ssList(sK19)
| spl72_83 ),
inference(subsumption_resolution,[],[f9581,f378]) ).
fof(f9581,plain,
( ~ ssList(sK18)
| ~ ssList(sK19)
| spl72_83 ),
inference(resolution,[],[f9575,f572]) ).
fof(f9575,plain,
( ~ ssList(app(sK19,sK18))
| spl72_83 ),
inference(avatar_component_clause,[],[f9573]) ).
fof(f9573,plain,
( spl72_83
<=> ssList(app(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_83])]) ).
fof(f9580,plain,
( ~ spl72_83
| ~ spl72_84
| ~ spl72_1
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f9464,f654,f650,f9577,f9573]) ).
fof(f9577,plain,
( spl72_84
<=> duplicatefreeP(app(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_84])]) ).
fof(f650,plain,
( spl72_1
<=> ssItem(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f9464,plain,
( ~ duplicatefreeP(app(sK19,sK18))
| ~ ssList(app(sK19,sK18))
| ~ spl72_1
| ~ spl72_2 ),
inference(resolution,[],[f9350,f670]) ).
fof(f9350,plain,
( ~ sP6(app(sK19,sK18))
| ~ spl72_1
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f9313,f1065]) ).
fof(f9313,plain,
( ~ sP6(app(sK19,sK18))
| ~ ssList(sK23)
| ~ spl72_1
| ~ spl72_2 ),
inference(superposition,[],[f6459,f9306]) ).
fof(f9306,plain,
( sK18 = cons(sK22,sK23)
| ~ spl72_1
| ~ spl72_2 ),
inference(forward_demodulation,[],[f9282,f1149]) ).
fof(f9282,plain,
( app(cons(sK22,nil),sK23) = cons(sK22,sK23)
| ~ spl72_1
| ~ spl72_2 ),
inference(resolution,[],[f1804,f652]) ).
fof(f652,plain,
( ssItem(sK22)
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f650]) ).
fof(f1804,plain,
( ! [X0] :
( ~ ssItem(X0)
| cons(X0,sK23) = app(cons(X0,nil),sK23) )
| ~ spl72_2 ),
inference(resolution,[],[f567,f1065]) ).
fof(f6459,plain,
( ! [X0] :
( ~ sP6(app(sK19,cons(sK22,X0)))
| ~ ssList(X0) )
| ~ spl72_1
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f6458,f652]) ).
fof(f6458,plain,
( ! [X0] :
( ~ sP6(app(sK19,cons(sK22,X0)))
| ~ ssItem(sK22)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f6457,f1065]) ).
fof(f6457,plain,
( ! [X0] :
( ~ sP6(app(sK19,cons(sK22,X0)))
| ~ ssList(sK23)
| ~ ssItem(sK22)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f6424,f400]) ).
fof(f6424,plain,
( ! [X0] :
( ~ sP6(app(sK19,cons(sK22,X0)))
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ ssItem(sK22)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f637,f1089]) ).
fof(f9568,plain,
( ~ spl72_1
| ~ spl72_2
| spl72_80 ),
inference(avatar_contradiction_clause,[],[f9567]) ).
fof(f9567,plain,
( $false
| ~ spl72_1
| ~ spl72_2
| spl72_80 ),
inference(subsumption_resolution,[],[f9566,f652]) ).
fof(f9566,plain,
( ~ ssItem(sK22)
| ~ spl72_2
| spl72_80 ),
inference(subsumption_resolution,[],[f9565,f1065]) ).
fof(f9565,plain,
( ~ ssList(sK23)
| ~ ssItem(sK22)
| spl72_80 ),
inference(resolution,[],[f9553,f452]) ).
fof(f9553,plain,
( ~ sP3(sK22,sK23)
| spl72_80 ),
inference(avatar_component_clause,[],[f9551]) ).
fof(f9551,plain,
( spl72_80
<=> sP3(sK22,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_80])]) ).
fof(f9562,plain,
( ~ spl72_80
| spl72_81
| ~ spl72_82
| ~ spl72_1
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f9322,f654,f650,f9559,f9555,f9551]) ).
fof(f9555,plain,
( spl72_81
<=> sP2(sK23,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_81])]) ).
fof(f9559,plain,
( spl72_82
<=> strictorderedP(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_82])]) ).
fof(f9322,plain,
( ~ strictorderedP(sK18)
| sP2(sK23,sK22)
| ~ sP3(sK22,sK23)
| ~ spl72_1
| ~ spl72_2 ),
inference(superposition,[],[f445,f9306]) ).
fof(f9543,plain,
( ~ spl72_1
| ~ spl72_2
| spl72_77 ),
inference(avatar_contradiction_clause,[],[f9542]) ).
fof(f9542,plain,
( $false
| ~ spl72_1
| ~ spl72_2
| spl72_77 ),
inference(subsumption_resolution,[],[f9541,f652]) ).
fof(f9541,plain,
( ~ ssItem(sK22)
| ~ spl72_2
| spl72_77 ),
inference(subsumption_resolution,[],[f9540,f1065]) ).
fof(f9540,plain,
( ~ ssList(sK23)
| ~ ssItem(sK22)
| spl72_77 ),
inference(resolution,[],[f9526,f444]) ).
fof(f9526,plain,
( ~ sP1(sK22,sK23)
| spl72_77 ),
inference(avatar_component_clause,[],[f9524]) ).
fof(f9524,plain,
( spl72_77
<=> sP1(sK22,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_77])]) ).
fof(f9535,plain,
( ~ spl72_77
| spl72_78
| ~ spl72_79
| ~ spl72_1
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f9320,f654,f650,f9532,f9528,f9524]) ).
fof(f9528,plain,
( spl72_78
<=> sP0(sK23,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_78])]) ).
fof(f9532,plain,
( spl72_79
<=> totalorderedP(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_79])]) ).
fof(f9320,plain,
( ~ totalorderedP(sK18)
| sP0(sK23,sK22)
| ~ sP1(sK22,sK23)
| ~ spl72_1
| ~ spl72_2 ),
inference(superposition,[],[f437,f9306]) ).
fof(f6959,plain,
spl72_75,
inference(avatar_contradiction_clause,[],[f6958]) ).
fof(f6958,plain,
( $false
| spl72_75 ),
inference(subsumption_resolution,[],[f6957,f400]) ).
fof(f6957,plain,
( ~ ssList(nil)
| spl72_75 ),
inference(subsumption_resolution,[],[f6956,f607]) ).
fof(f6956,plain,
( ~ ssItem(sK71)
| ~ ssList(nil)
| spl72_75 ),
inference(resolution,[],[f6950,f562]) ).
fof(f6950,plain,
( ~ ssList(cons(sK71,nil))
| spl72_75 ),
inference(avatar_component_clause,[],[f6948]) ).
fof(f6948,plain,
( spl72_75
<=> ssList(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_75])]) ).
fof(f6955,plain,
( ~ spl72_75
| spl72_76 ),
inference(avatar_split_clause,[],[f6933,f6952,f6948]) ).
fof(f6952,plain,
( spl72_76
<=> ssList(cons(sK71,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_76])]) ).
fof(f6876,plain,
spl72_73,
inference(avatar_contradiction_clause,[],[f6875]) ).
fof(f6875,plain,
( $false
| spl72_73 ),
inference(subsumption_resolution,[],[f6874,f400]) ).
fof(f6874,plain,
( ~ ssList(nil)
| spl72_73 ),
inference(subsumption_resolution,[],[f6873,f606]) ).
fof(f6873,plain,
( ~ ssItem(sK70)
| ~ ssList(nil)
| spl72_73 ),
inference(resolution,[],[f6867,f562]) ).
fof(f6867,plain,
( ~ ssList(cons(sK70,nil))
| spl72_73 ),
inference(avatar_component_clause,[],[f6865]) ).
fof(f6865,plain,
( spl72_73
<=> ssList(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_73])]) ).
fof(f6872,plain,
( ~ spl72_73
| spl72_74 ),
inference(avatar_split_clause,[],[f6850,f6869,f6865]) ).
fof(f6869,plain,
( spl72_74
<=> ssList(cons(sK70,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_74])]) ).
fof(f6747,plain,
spl72_71,
inference(avatar_contradiction_clause,[],[f6746]) ).
fof(f6746,plain,
( $false
| spl72_71 ),
inference(subsumption_resolution,[],[f6745,f400]) ).
fof(f6745,plain,
( ~ ssList(nil)
| spl72_71 ),
inference(subsumption_resolution,[],[f6744,f384]) ).
fof(f6744,plain,
( ~ ssItem(sK24)
| ~ ssList(nil)
| spl72_71 ),
inference(resolution,[],[f6738,f562]) ).
fof(f6738,plain,
( ~ ssList(cons(sK24,nil))
| spl72_71 ),
inference(avatar_component_clause,[],[f6736]) ).
fof(f6736,plain,
( spl72_71
<=> ssList(cons(sK24,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_71])]) ).
fof(f6743,plain,
( ~ spl72_71
| spl72_72 ),
inference(avatar_split_clause,[],[f6721,f6740,f6736]) ).
fof(f6740,plain,
( spl72_72
<=> ssList(cons(sK24,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_72])]) ).
fof(f5812,plain,
( ~ spl72_69
| spl72_70
| ~ spl72_37
| ~ spl72_38 ),
inference(avatar_split_clause,[],[f3081,f3057,f3053,f5809,f5805]) ).
fof(f5805,plain,
( spl72_69
<=> rearsegP(sK69(sK19,sK23),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_69])]) ).
fof(f5809,plain,
( spl72_70
<=> sK19 = sK69(sK19,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_70])]) ).
fof(f3053,plain,
( spl72_37
<=> ssList(sK69(sK19,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_37])]) ).
fof(f3057,plain,
( spl72_38
<=> rearsegP(sK19,sK69(sK19,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_38])]) ).
fof(f3081,plain,
( sK19 = sK69(sK19,sK23)
| ~ rearsegP(sK69(sK19,sK23),sK19)
| ~ spl72_37
| ~ spl72_38 ),
inference(subsumption_resolution,[],[f3080,f3054]) ).
fof(f3054,plain,
( ssList(sK69(sK19,sK23))
| ~ spl72_37 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f3080,plain,
( sK19 = sK69(sK19,sK23)
| ~ rearsegP(sK69(sK19,sK23),sK19)
| ~ ssList(sK69(sK19,sK23))
| ~ spl72_38 ),
inference(subsumption_resolution,[],[f3077,f379]) ).
fof(f3077,plain,
( sK19 = sK69(sK19,sK23)
| ~ rearsegP(sK69(sK19,sK23),sK19)
| ~ ssList(sK19)
| ~ ssList(sK69(sK19,sK23))
| ~ spl72_38 ),
inference(resolution,[],[f3059,f576]) ).
fof(f3059,plain,
( rearsegP(sK19,sK69(sK19,sK23))
| ~ spl72_38 ),
inference(avatar_component_clause,[],[f3057]) ).
fof(f5751,plain,
( ~ spl72_67
| spl72_68
| ~ spl72_35
| ~ spl72_36 ),
inference(avatar_split_clause,[],[f3004,f2922,f2918,f5748,f5744]) ).
fof(f5744,plain,
( spl72_67
<=> frontsegP(sK66(sK18,sK23),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_67])]) ).
fof(f5748,plain,
( spl72_68
<=> sK18 = sK66(sK18,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_68])]) ).
fof(f2918,plain,
( spl72_35
<=> ssList(sK66(sK18,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_35])]) ).
fof(f2922,plain,
( spl72_36
<=> frontsegP(sK18,sK66(sK18,sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_36])]) ).
fof(f3004,plain,
( sK18 = sK66(sK18,sK23)
| ~ frontsegP(sK66(sK18,sK23),sK18)
| ~ spl72_35
| ~ spl72_36 ),
inference(subsumption_resolution,[],[f3003,f2919]) ).
fof(f2919,plain,
( ssList(sK66(sK18,sK23))
| ~ spl72_35 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f3003,plain,
( sK18 = sK66(sK18,sK23)
| ~ frontsegP(sK66(sK18,sK23),sK18)
| ~ ssList(sK66(sK18,sK23))
| ~ spl72_36 ),
inference(subsumption_resolution,[],[f3000,f378]) ).
fof(f3000,plain,
( sK18 = sK66(sK18,sK23)
| ~ frontsegP(sK66(sK18,sK23),sK18)
| ~ ssList(sK18)
| ~ ssList(sK66(sK18,sK23))
| ~ spl72_36 ),
inference(resolution,[],[f2924,f578]) ).
fof(f2924,plain,
( frontsegP(sK18,sK66(sK18,sK23))
| ~ spl72_36 ),
inference(avatar_component_clause,[],[f2922]) ).
fof(f4679,plain,
( spl72_65
| ~ spl72_66
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f4670,f2159,f654,f4676,f4672]) ).
fof(f4672,plain,
( spl72_65
<=> frontsegP(sK19,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_65])]) ).
fof(f4676,plain,
( spl72_66
<=> frontsegP(sK23,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_66])]) ).
fof(f4670,plain,
( ~ frontsegP(sK23,sK18)
| frontsegP(sK19,cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4669,f2160]) ).
fof(f4669,plain,
( ~ frontsegP(sK23,sK18)
| frontsegP(sK19,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4658,f1065]) ).
fof(f4658,plain,
( ~ frontsegP(sK23,sK18)
| ~ ssList(sK23)
| frontsegP(sK19,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3653,f2957]) ).
fof(f2957,plain,
( ! [X0] :
( ~ frontsegP(sK23,X0)
| frontsegP(sK19,X0)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2956,f1065]) ).
fof(f2956,plain,
( ! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(sK23,X0)
| ~ ssList(X0)
| ~ ssList(sK23) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2928,f2160]) ).
fof(f2928,plain,
( ! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(sK23,X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X0)
| ~ ssList(sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f599,f1089]) ).
fof(f3653,plain,
( ! [X0] :
( frontsegP(X0,cons(sK22,nil))
| ~ frontsegP(X0,sK18)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3652,f378]) ).
fof(f3652,plain,
( ! [X0] :
( frontsegP(X0,cons(sK22,nil))
| ~ frontsegP(X0,sK18)
| ~ ssList(sK18)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3622,f2160]) ).
fof(f3622,plain,
( ! [X0] :
( frontsegP(X0,cons(sK22,nil))
| ~ frontsegP(X0,sK18)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK18)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f604,f2344]) ).
fof(f2344,plain,
( frontsegP(sK18,cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2343,f2160]) ).
fof(f2343,plain,
( frontsegP(sK18,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2335,f1065]) ).
fof(f2335,plain,
( frontsegP(sK18,cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2 ),
inference(superposition,[],[f2231,f1149]) ).
fof(f4645,plain,
( spl72_63
| ~ spl72_64
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f4555,f2159,f654,f4642,f4638]) ).
fof(f4638,plain,
( spl72_63
<=> rearsegP(sK18,cons(sK22,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_63])]) ).
fof(f4642,plain,
( spl72_64
<=> rearsegP(sK23,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_64])]) ).
fof(f4555,plain,
( ~ rearsegP(sK23,sK19)
| rearsegP(sK18,cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4554,f2160]) ).
fof(f4554,plain,
( ~ rearsegP(sK23,sK19)
| rearsegP(sK18,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4544,f1065]) ).
fof(f4544,plain,
( ~ rearsegP(sK23,sK19)
| ~ ssList(sK23)
| rearsegP(sK18,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3548,f2872]) ).
fof(f2872,plain,
( ! [X0] :
( ~ rearsegP(sK23,X0)
| rearsegP(sK18,X0)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2871,f1065]) ).
fof(f2871,plain,
( ! [X0] :
( rearsegP(sK18,X0)
| ~ rearsegP(sK23,X0)
| ~ ssList(X0)
| ~ ssList(sK23) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2839,f2160]) ).
fof(f2839,plain,
( ! [X0] :
( rearsegP(sK18,X0)
| ~ rearsegP(sK23,X0)
| ~ ssList(cons(sK22,nil))
| ~ ssList(X0)
| ~ ssList(sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f598,f1149]) ).
fof(f3548,plain,
( ! [X0] :
( rearsegP(X0,cons(sK22,nil))
| ~ rearsegP(X0,sK19)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3547,f379]) ).
fof(f3547,plain,
( ! [X0] :
( rearsegP(X0,cons(sK22,nil))
| ~ rearsegP(X0,sK19)
| ~ ssList(sK19)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3517,f2160]) ).
fof(f3517,plain,
( ! [X0] :
( rearsegP(X0,cons(sK22,nil))
| ~ rearsegP(X0,sK19)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK19)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f603,f2623]) ).
fof(f2623,plain,
( rearsegP(sK19,cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2153,f2160]) ).
fof(f2153,plain,
( rearsegP(sK19,cons(sK22,nil))
| ~ ssList(cons(sK22,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2133,f1065]) ).
fof(f2133,plain,
( rearsegP(sK19,cons(sK22,nil))
| ~ ssList(sK23)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2 ),
inference(superposition,[],[f2110,f1089]) ).
fof(f4564,plain,
( spl72_61
| ~ spl72_62
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f4553,f2159,f654,f4561,f4557]) ).
fof(f4557,plain,
( spl72_61
<=> nil = cons(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_61])]) ).
fof(f4561,plain,
( spl72_62
<=> rearsegP(nil,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_62])]) ).
fof(f4553,plain,
( ~ rearsegP(nil,sK19)
| nil = cons(sK22,nil)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4552,f2160]) ).
fof(f4552,plain,
( ~ rearsegP(nil,sK19)
| nil = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f4543,f400]) ).
fof(f4543,plain,
( ~ rearsegP(nil,sK19)
| ~ ssList(nil)
| nil = cons(sK22,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3548,f558]) ).
fof(f4538,plain,
( ~ spl72_59
| spl72_60
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2626,f2159,f654,f4535,f4531]) ).
fof(f4531,plain,
( spl72_59
<=> rearsegP(cons(sK22,nil),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_59])]) ).
fof(f4535,plain,
( spl72_60
<=> sK19 = cons(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_60])]) ).
fof(f2626,plain,
( sK19 = cons(sK22,nil)
| ~ rearsegP(cons(sK22,nil),sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2625,f2160]) ).
fof(f2625,plain,
( sK19 = cons(sK22,nil)
| ~ rearsegP(cons(sK22,nil),sK19)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2624,f379]) ).
fof(f2624,plain,
( sK19 = cons(sK22,nil)
| ~ rearsegP(cons(sK22,nil),sK19)
| ~ ssList(sK19)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2623,f576]) ).
fof(f4529,plain,
( ~ spl72_57
| spl72_58
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2350,f2159,f654,f4526,f4522]) ).
fof(f4522,plain,
( spl72_57
<=> frontsegP(cons(sK22,nil),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_57])]) ).
fof(f4526,plain,
( spl72_58
<=> sK18 = cons(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_58])]) ).
fof(f2350,plain,
( sK18 = cons(sK22,nil)
| ~ frontsegP(cons(sK22,nil),sK18)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2349,f2160]) ).
fof(f2349,plain,
( sK18 = cons(sK22,nil)
| ~ frontsegP(cons(sK22,nil),sK18)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2348,f378]) ).
fof(f2348,plain,
( sK18 = cons(sK22,nil)
| ~ frontsegP(cons(sK22,nil),sK18)
| ~ ssList(sK18)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2344,f578]) ).
fof(f4149,plain,
( ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54
| spl72_55 ),
inference(avatar_contradiction_clause,[],[f4148]) ).
fof(f4148,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54
| spl72_55 ),
inference(subsumption_resolution,[],[f4147,f378]) ).
fof(f4147,plain,
( ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54
| spl72_55 ),
inference(subsumption_resolution,[],[f4146,f3860]) ).
fof(f3860,plain,
( rearsegP(sK18,sK18)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(superposition,[],[f3831,f3849]) ).
fof(f3849,plain,
( sK18 = sK69(sK18,nil)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53 ),
inference(forward_demodulation,[],[f3839,f3740]) ).
fof(f3740,plain,
( sK18 = app(nil,sK69(sK18,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3739,f378]) ).
fof(f3739,plain,
( sK18 = app(nil,sK69(sK18,nil))
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3737,f400]) ).
fof(f3737,plain,
( sK18 = app(nil,sK69(sK18,nil))
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3733,f589]) ).
fof(f3733,plain,
( frontsegP(sK18,nil)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3732,f2160]) ).
fof(f3732,plain,
( frontsegP(sK18,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3729,f400]) ).
fof(f3729,plain,
( frontsegP(sK18,nil)
| ~ ssList(nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2972,f459]) ).
fof(f2972,plain,
( ! [X0] :
( ~ frontsegP(cons(sK22,nil),X0)
| frontsegP(sK18,X0)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2971,f2160]) ).
fof(f2971,plain,
( ! [X0] :
( frontsegP(sK18,X0)
| ~ frontsegP(cons(sK22,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil)) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2944,f1065]) ).
fof(f2944,plain,
( ! [X0] :
( frontsegP(sK18,X0)
| ~ frontsegP(cons(sK22,nil),X0)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil)) )
| ~ spl72_2 ),
inference(superposition,[],[f599,f1149]) ).
fof(f3839,plain,
( sK69(sK18,nil) = app(nil,sK69(sK18,nil))
| ~ spl72_53 ),
inference(resolution,[],[f3826,f463]) ).
fof(f3826,plain,
( ssList(sK69(sK18,nil))
| ~ spl72_53 ),
inference(avatar_component_clause,[],[f3825]) ).
fof(f3825,plain,
( spl72_53
<=> ssList(sK69(sK18,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_53])]) ).
fof(f3831,plain,
( rearsegP(sK18,sK69(sK18,nil))
| ~ spl72_54 ),
inference(avatar_component_clause,[],[f3829]) ).
fof(f3829,plain,
( spl72_54
<=> rearsegP(sK18,sK69(sK18,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_54])]) ).
fof(f4146,plain,
( ~ rearsegP(sK18,sK18)
| ~ ssList(sK18)
| spl72_55 ),
inference(duplicate_literal_removal,[],[f4145]) ).
fof(f4145,plain,
( ~ rearsegP(sK18,sK18)
| ~ ssList(sK18)
| ~ ssList(sK18)
| spl72_55 ),
inference(resolution,[],[f4139,f581]) ).
fof(f4139,plain,
( ~ ssList(sK66(sK18,sK18))
| spl72_55 ),
inference(avatar_component_clause,[],[f4137]) ).
fof(f4137,plain,
( spl72_55
<=> ssList(sK66(sK18,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_55])]) ).
fof(f4144,plain,
( ~ spl72_55
| spl72_56
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(avatar_split_clause,[],[f3882,f3829,f3825,f2159,f654,f4141,f4137]) ).
fof(f4141,plain,
( spl72_56
<=> frontsegP(sK18,sK66(sK18,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_56])]) ).
fof(f3882,plain,
( frontsegP(sK18,sK66(sK18,sK18))
| ~ ssList(sK66(sK18,sK18))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(subsumption_resolution,[],[f3879,f378]) ).
fof(f3879,plain,
( frontsegP(sK18,sK66(sK18,sK18))
| ~ ssList(sK18)
| ~ ssList(sK66(sK18,sK18))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(superposition,[],[f2231,f3870]) ).
fof(f3870,plain,
( sK18 = app(sK66(sK18,sK18),sK18)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(subsumption_resolution,[],[f3868,f378]) ).
fof(f3868,plain,
( sK18 = app(sK66(sK18,sK18),sK18)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(duplicate_literal_removal,[],[f3865]) ).
fof(f3865,plain,
( sK18 = app(sK66(sK18,sK18),sK18)
| ~ ssList(sK18)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_53
| ~ spl72_54 ),
inference(resolution,[],[f3860,f582]) ).
fof(f3837,plain,
( ~ spl72_2
| ~ spl72_23
| spl72_53 ),
inference(avatar_contradiction_clause,[],[f3836]) ).
fof(f3836,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| spl72_53 ),
inference(subsumption_resolution,[],[f3835,f378]) ).
fof(f3835,plain,
( ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| spl72_53 ),
inference(subsumption_resolution,[],[f3834,f400]) ).
fof(f3834,plain,
( ~ ssList(nil)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| spl72_53 ),
inference(subsumption_resolution,[],[f3833,f3733]) ).
fof(f3833,plain,
( ~ frontsegP(sK18,nil)
| ~ ssList(nil)
| ~ ssList(sK18)
| spl72_53 ),
inference(resolution,[],[f3827,f588]) ).
fof(f3827,plain,
( ~ ssList(sK69(sK18,nil))
| spl72_53 ),
inference(avatar_component_clause,[],[f3825]) ).
fof(f3832,plain,
( ~ spl72_53
| spl72_54
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f3752,f2159,f654,f3829,f3825]) ).
fof(f3752,plain,
( rearsegP(sK18,sK69(sK18,nil))
| ~ ssList(sK69(sK18,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3748,f400]) ).
fof(f3748,plain,
( rearsegP(sK18,sK69(sK18,nil))
| ~ ssList(nil)
| ~ ssList(sK69(sK18,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(superposition,[],[f2110,f3740]) ).
fof(f3761,plain,
( ~ spl72_51
| spl72_52
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f3735,f2159,f654,f3758,f3754]) ).
fof(f3754,plain,
( spl72_51
<=> frontsegP(cons(sK22,nil),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_51])]) ).
fof(f3758,plain,
( spl72_52
<=> frontsegP(sK18,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_52])]) ).
fof(f3735,plain,
( frontsegP(sK18,sK23)
| ~ frontsegP(cons(sK22,nil),sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3734,f2160]) ).
fof(f3734,plain,
( frontsegP(sK18,sK23)
| ~ frontsegP(cons(sK22,nil),sK19)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3730,f1065]) ).
fof(f3730,plain,
( frontsegP(sK18,sK23)
| ~ ssList(sK23)
| ~ frontsegP(cons(sK22,nil),sK19)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2972,f3661]) ).
fof(f3661,plain,
( ! [X0] :
( frontsegP(X0,sK23)
| ~ frontsegP(X0,sK19)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3660,f379]) ).
fof(f3660,plain,
( ! [X0] :
( frontsegP(X0,sK23)
| ~ frontsegP(X0,sK19)
| ~ ssList(sK19)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3629,f1065]) ).
fof(f3629,plain,
( ! [X0] :
( frontsegP(X0,sK23)
| ~ frontsegP(X0,sK19)
| ~ ssList(sK23)
| ~ ssList(sK19)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f604,f2342]) ).
fof(f2342,plain,
( frontsegP(sK19,sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2341,f1065]) ).
fof(f2341,plain,
( frontsegP(sK19,sK23)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2323,f2160]) ).
fof(f2323,plain,
( frontsegP(sK19,sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ spl72_2 ),
inference(superposition,[],[f2231,f1089]) ).
fof(f3674,plain,
( ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46
| spl72_49 ),
inference(avatar_contradiction_clause,[],[f3673]) ).
fof(f3673,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46
| spl72_49 ),
inference(subsumption_resolution,[],[f3672,f379]) ).
fof(f3672,plain,
( ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46
| spl72_49 ),
inference(subsumption_resolution,[],[f3671,f3504]) ).
fof(f3504,plain,
( frontsegP(sK19,sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(superposition,[],[f3479,f3496]) ).
fof(f3496,plain,
( sK19 = sK66(sK19,nil)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45 ),
inference(forward_demodulation,[],[f3486,f3459]) ).
fof(f3459,plain,
( sK19 = app(sK66(sK19,nil),nil)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3458,f379]) ).
fof(f3458,plain,
( sK19 = app(sK66(sK19,nil),nil)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3456,f400]) ).
fof(f3456,plain,
( sK19 = app(sK66(sK19,nil),nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3455,f582]) ).
fof(f3455,plain,
( rearsegP(sK19,nil)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3454,f2160]) ).
fof(f3454,plain,
( rearsegP(sK19,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3452,f400]) ).
fof(f3452,plain,
( rearsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2851,f457]) ).
fof(f2851,plain,
( ! [X0] :
( ~ rearsegP(cons(sK22,nil),X0)
| rearsegP(sK19,X0)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2850,f2160]) ).
fof(f2850,plain,
( ! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(cons(sK22,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil)) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2823,f1065]) ).
fof(f2823,plain,
( ! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(cons(sK22,nil),X0)
| ~ ssList(sK23)
| ~ ssList(X0)
| ~ ssList(cons(sK22,nil)) )
| ~ spl72_2 ),
inference(superposition,[],[f598,f1089]) ).
fof(f3486,plain,
( sK66(sK19,nil) = app(sK66(sK19,nil),nil)
| ~ spl72_45 ),
inference(resolution,[],[f3474,f462]) ).
fof(f3474,plain,
( ssList(sK66(sK19,nil))
| ~ spl72_45 ),
inference(avatar_component_clause,[],[f3473]) ).
fof(f3473,plain,
( spl72_45
<=> ssList(sK66(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_45])]) ).
fof(f3479,plain,
( frontsegP(sK19,sK66(sK19,nil))
| ~ spl72_46 ),
inference(avatar_component_clause,[],[f3477]) ).
fof(f3477,plain,
( spl72_46
<=> frontsegP(sK19,sK66(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_46])]) ).
fof(f3671,plain,
( ~ frontsegP(sK19,sK19)
| ~ ssList(sK19)
| spl72_49 ),
inference(duplicate_literal_removal,[],[f3670]) ).
fof(f3670,plain,
( ~ frontsegP(sK19,sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl72_49 ),
inference(resolution,[],[f3609,f588]) ).
fof(f3609,plain,
( ~ ssList(sK69(sK19,sK19))
| spl72_49 ),
inference(avatar_component_clause,[],[f3607]) ).
fof(f3607,plain,
( spl72_49
<=> ssList(sK69(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_49])]) ).
fof(f3614,plain,
( ~ spl72_49
| spl72_50
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(avatar_split_clause,[],[f3574,f3477,f3473,f2159,f654,f3611,f3607]) ).
fof(f3611,plain,
( spl72_50
<=> rearsegP(sK19,sK69(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_50])]) ).
fof(f3574,plain,
( rearsegP(sK19,sK69(sK19,sK19))
| ~ ssList(sK69(sK19,sK19))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(subsumption_resolution,[],[f3570,f379]) ).
fof(f3570,plain,
( rearsegP(sK19,sK69(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK69(sK19,sK19))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(superposition,[],[f2110,f3562]) ).
fof(f3562,plain,
( sK19 = app(sK19,sK69(sK19,sK19))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(subsumption_resolution,[],[f3561,f379]) ).
fof(f3561,plain,
( sK19 = app(sK19,sK69(sK19,sK19))
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(duplicate_literal_removal,[],[f3558]) ).
fof(f3558,plain,
( sK19 = app(sK19,sK69(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_45
| ~ spl72_46 ),
inference(resolution,[],[f3504,f589]) ).
fof(f3598,plain,
( spl72_47
| ~ spl72_48
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f3589,f2159,f654,f3595,f3591]) ).
fof(f3591,plain,
( spl72_47
<=> rearsegP(sK19,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_47])]) ).
fof(f3595,plain,
( spl72_48
<=> rearsegP(cons(sK22,nil),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_48])]) ).
fof(f3589,plain,
( ~ rearsegP(cons(sK22,nil),sK18)
| rearsegP(sK19,sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3588,f1065]) ).
fof(f3588,plain,
( ~ rearsegP(cons(sK22,nil),sK18)
| rearsegP(sK19,sK23)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3578,f2160]) ).
fof(f3578,plain,
( ~ rearsegP(cons(sK22,nil),sK18)
| ~ ssList(cons(sK22,nil))
| rearsegP(sK19,sK23)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3550,f2851]) ).
fof(f3550,plain,
( ! [X0] :
( rearsegP(X0,sK23)
| ~ rearsegP(X0,sK18)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3549,f378]) ).
fof(f3549,plain,
( ! [X0] :
( rearsegP(X0,sK23)
| ~ rearsegP(X0,sK18)
| ~ ssList(sK18)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3523,f1065]) ).
fof(f3523,plain,
( ! [X0] :
( rearsegP(X0,sK23)
| ~ rearsegP(X0,sK18)
| ~ ssList(sK23)
| ~ ssList(sK18)
| ~ ssList(X0) )
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f603,f2297]) ).
fof(f2297,plain,
( rearsegP(sK18,sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2156,f2160]) ).
fof(f2156,plain,
( rearsegP(sK18,sK23)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f2147,f1065]) ).
fof(f2147,plain,
( rearsegP(sK18,sK23)
| ~ ssList(cons(sK22,nil))
| ~ ssList(sK23)
| ~ spl72_2 ),
inference(superposition,[],[f2110,f1149]) ).
fof(f3485,plain,
( ~ spl72_2
| ~ spl72_23
| spl72_45 ),
inference(avatar_contradiction_clause,[],[f3484]) ).
fof(f3484,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| spl72_45 ),
inference(subsumption_resolution,[],[f3483,f379]) ).
fof(f3483,plain,
( ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| spl72_45 ),
inference(subsumption_resolution,[],[f3482,f400]) ).
fof(f3482,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| spl72_45 ),
inference(subsumption_resolution,[],[f3481,f3455]) ).
fof(f3481,plain,
( ~ rearsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| spl72_45 ),
inference(resolution,[],[f3475,f581]) ).
fof(f3475,plain,
( ~ ssList(sK66(sK19,nil))
| spl72_45 ),
inference(avatar_component_clause,[],[f3473]) ).
fof(f3480,plain,
( ~ spl72_45
| spl72_46
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f3471,f2159,f654,f3477,f3473]) ).
fof(f3471,plain,
( frontsegP(sK19,sK66(sK19,nil))
| ~ ssList(sK66(sK19,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3468,f400]) ).
fof(f3468,plain,
( frontsegP(sK19,sK66(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK66(sK19,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(superposition,[],[f2231,f3459]) ).
fof(f3342,plain,
( ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40
| spl72_43 ),
inference(avatar_contradiction_clause,[],[f3341]) ).
fof(f3341,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40
| spl72_43 ),
inference(subsumption_resolution,[],[f3340,f379]) ).
fof(f3340,plain,
( ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40
| spl72_43 ),
inference(subsumption_resolution,[],[f3339,f3212]) ).
fof(f3212,plain,
( rearsegP(sK19,sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(superposition,[],[f3187,f3204]) ).
fof(f3204,plain,
( sK19 = sK69(sK19,nil)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39 ),
inference(forward_demodulation,[],[f3195,f3013]) ).
fof(f3013,plain,
( sK19 = app(nil,sK69(sK19,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3012,f379]) ).
fof(f3012,plain,
( sK19 = app(nil,sK69(sK19,nil))
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3010,f400]) ).
fof(f3010,plain,
( sK19 = app(nil,sK69(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f3009,f589]) ).
fof(f3009,plain,
( frontsegP(sK19,nil)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3008,f1065]) ).
fof(f3008,plain,
( frontsegP(sK19,nil)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3006,f400]) ).
fof(f3006,plain,
( frontsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2957,f459]) ).
fof(f3195,plain,
( sK69(sK19,nil) = app(nil,sK69(sK19,nil))
| ~ spl72_39 ),
inference(resolution,[],[f3182,f463]) ).
fof(f3182,plain,
( ssList(sK69(sK19,nil))
| ~ spl72_39 ),
inference(avatar_component_clause,[],[f3181]) ).
fof(f3181,plain,
( spl72_39
<=> ssList(sK69(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_39])]) ).
fof(f3187,plain,
( rearsegP(sK19,sK69(sK19,nil))
| ~ spl72_40 ),
inference(avatar_component_clause,[],[f3185]) ).
fof(f3185,plain,
( spl72_40
<=> rearsegP(sK19,sK69(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_40])]) ).
fof(f3339,plain,
( ~ rearsegP(sK19,sK19)
| ~ ssList(sK19)
| spl72_43 ),
inference(duplicate_literal_removal,[],[f3338]) ).
fof(f3338,plain,
( ~ rearsegP(sK19,sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl72_43 ),
inference(resolution,[],[f3332,f581]) ).
fof(f3332,plain,
( ~ ssList(sK66(sK19,sK19))
| spl72_43 ),
inference(avatar_component_clause,[],[f3330]) ).
fof(f3330,plain,
( spl72_43
<=> ssList(sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_43])]) ).
fof(f3337,plain,
( ~ spl72_43
| spl72_44
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(avatar_split_clause,[],[f3235,f3185,f3181,f2159,f654,f3334,f3330]) ).
fof(f3334,plain,
( spl72_44
<=> frontsegP(sK19,sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_44])]) ).
fof(f3235,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK66(sK19,sK19))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(subsumption_resolution,[],[f3232,f379]) ).
fof(f3232,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(superposition,[],[f2231,f3220]) ).
fof(f3220,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(subsumption_resolution,[],[f3219,f379]) ).
fof(f3219,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(duplicate_literal_removal,[],[f3216]) ).
fof(f3216,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| ~ spl72_39
| ~ spl72_40 ),
inference(resolution,[],[f3212,f582]) ).
fof(f3312,plain,
( ~ spl72_24
| ~ spl72_33
| ~ spl72_34
| spl72_41 ),
inference(avatar_contradiction_clause,[],[f3311]) ).
fof(f3311,plain,
( $false
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34
| spl72_41 ),
inference(subsumption_resolution,[],[f3310,f378]) ).
fof(f3310,plain,
( ~ ssList(sK18)
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34
| spl72_41 ),
inference(subsumption_resolution,[],[f3309,f2817]) ).
fof(f2817,plain,
( frontsegP(sK18,sK18)
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(superposition,[],[f2792,f2809]) ).
fof(f2809,plain,
( sK18 = sK66(sK18,nil)
| ~ spl72_24
| ~ spl72_33 ),
inference(forward_demodulation,[],[f2799,f2658]) ).
fof(f2658,plain,
( sK18 = app(sK66(sK18,nil),nil)
| ~ spl72_24 ),
inference(subsumption_resolution,[],[f2657,f378]) ).
fof(f2657,plain,
( sK18 = app(sK66(sK18,nil),nil)
| ~ ssList(sK18)
| ~ spl72_24 ),
inference(subsumption_resolution,[],[f2646,f400]) ).
fof(f2646,plain,
( sK18 = app(sK66(sK18,nil),nil)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ spl72_24 ),
inference(resolution,[],[f582,f2165]) ).
fof(f2165,plain,
( rearsegP(sK18,nil)
| ~ spl72_24 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f2163,plain,
( spl72_24
<=> rearsegP(sK18,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_24])]) ).
fof(f2799,plain,
( sK66(sK18,nil) = app(sK66(sK18,nil),nil)
| ~ spl72_33 ),
inference(resolution,[],[f2787,f462]) ).
fof(f2787,plain,
( ssList(sK66(sK18,nil))
| ~ spl72_33 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f2786,plain,
( spl72_33
<=> ssList(sK66(sK18,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_33])]) ).
fof(f2792,plain,
( frontsegP(sK18,sK66(sK18,nil))
| ~ spl72_34 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f2790,plain,
( spl72_34
<=> frontsegP(sK18,sK66(sK18,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_34])]) ).
fof(f3309,plain,
( ~ frontsegP(sK18,sK18)
| ~ ssList(sK18)
| spl72_41 ),
inference(duplicate_literal_removal,[],[f3308]) ).
fof(f3308,plain,
( ~ frontsegP(sK18,sK18)
| ~ ssList(sK18)
| ~ ssList(sK18)
| spl72_41 ),
inference(resolution,[],[f3302,f588]) ).
fof(f3302,plain,
( ~ ssList(sK69(sK18,sK18))
| spl72_41 ),
inference(avatar_component_clause,[],[f3300]) ).
fof(f3300,plain,
( spl72_41
<=> ssList(sK69(sK18,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_41])]) ).
fof(f3307,plain,
( ~ spl72_41
| spl72_42
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(avatar_split_clause,[],[f2891,f2790,f2786,f2163,f3304,f3300]) ).
fof(f3304,plain,
( spl72_42
<=> rearsegP(sK18,sK69(sK18,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_42])]) ).
fof(f2891,plain,
( rearsegP(sK18,sK69(sK18,sK18))
| ~ ssList(sK69(sK18,sK18))
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(subsumption_resolution,[],[f2887,f378]) ).
fof(f2887,plain,
( rearsegP(sK18,sK69(sK18,sK18))
| ~ ssList(sK18)
| ~ ssList(sK69(sK18,sK18))
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(superposition,[],[f2110,f2880]) ).
fof(f2880,plain,
( sK18 = app(sK18,sK69(sK18,sK18))
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(subsumption_resolution,[],[f2879,f378]) ).
fof(f2879,plain,
( sK18 = app(sK18,sK69(sK18,sK18))
| ~ ssList(sK18)
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(duplicate_literal_removal,[],[f2876]) ).
fof(f2876,plain,
( sK18 = app(sK18,sK69(sK18,sK18))
| ~ ssList(sK18)
| ~ ssList(sK18)
| ~ spl72_24
| ~ spl72_33
| ~ spl72_34 ),
inference(resolution,[],[f2817,f589]) ).
fof(f3193,plain,
( ~ spl72_2
| ~ spl72_23
| spl72_39 ),
inference(avatar_contradiction_clause,[],[f3192]) ).
fof(f3192,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| spl72_39 ),
inference(subsumption_resolution,[],[f3191,f379]) ).
fof(f3191,plain,
( ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| spl72_39 ),
inference(subsumption_resolution,[],[f3190,f400]) ).
fof(f3190,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| spl72_39 ),
inference(subsumption_resolution,[],[f3189,f3009]) ).
fof(f3189,plain,
( ~ frontsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| spl72_39 ),
inference(resolution,[],[f3183,f588]) ).
fof(f3183,plain,
( ~ ssList(sK69(sK19,nil))
| spl72_39 ),
inference(avatar_component_clause,[],[f3181]) ).
fof(f3188,plain,
( ~ spl72_39
| spl72_40
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f3027,f2159,f654,f3185,f3181]) ).
fof(f3027,plain,
( rearsegP(sK19,sK69(sK19,nil))
| ~ ssList(sK69(sK19,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f3021,f400]) ).
fof(f3021,plain,
( rearsegP(sK19,sK69(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK69(sK19,nil))
| ~ spl72_2
| ~ spl72_23 ),
inference(superposition,[],[f2110,f3013]) ).
fof(f3065,plain,
( ~ spl72_2
| ~ spl72_23
| spl72_37 ),
inference(avatar_contradiction_clause,[],[f3064]) ).
fof(f3064,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| spl72_37 ),
inference(subsumption_resolution,[],[f3063,f379]) ).
fof(f3063,plain,
( ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| spl72_37 ),
inference(subsumption_resolution,[],[f3062,f1065]) ).
fof(f3062,plain,
( ~ ssList(sK23)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23
| spl72_37 ),
inference(subsumption_resolution,[],[f3061,f2342]) ).
fof(f3061,plain,
( ~ frontsegP(sK19,sK23)
| ~ ssList(sK23)
| ~ ssList(sK19)
| spl72_37 ),
inference(resolution,[],[f3055,f588]) ).
fof(f3055,plain,
( ~ ssList(sK69(sK19,sK23))
| spl72_37 ),
inference(avatar_component_clause,[],[f3053]) ).
fof(f3060,plain,
( ~ spl72_37
| spl72_38
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2753,f2159,f654,f3057,f3053]) ).
fof(f2753,plain,
( rearsegP(sK19,sK69(sK19,sK23))
| ~ ssList(sK69(sK19,sK23))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2750,f1065]) ).
fof(f2750,plain,
( rearsegP(sK19,sK69(sK19,sK23))
| ~ ssList(sK23)
| ~ ssList(sK69(sK19,sK23))
| ~ spl72_2
| ~ spl72_23 ),
inference(superposition,[],[f2110,f2744]) ).
fof(f2744,plain,
( sK19 = app(sK23,sK69(sK19,sK23))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2743,f379]) ).
fof(f2743,plain,
( sK19 = app(sK23,sK69(sK19,sK23))
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2733,f1065]) ).
fof(f2733,plain,
( sK19 = app(sK23,sK69(sK19,sK23))
| ~ ssList(sK23)
| ~ ssList(sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f589,f2342]) ).
fof(f2988,plain,
( ~ spl72_2
| ~ spl72_23
| spl72_35 ),
inference(avatar_contradiction_clause,[],[f2987]) ).
fof(f2987,plain,
( $false
| ~ spl72_2
| ~ spl72_23
| spl72_35 ),
inference(subsumption_resolution,[],[f2986,f378]) ).
fof(f2986,plain,
( ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| spl72_35 ),
inference(subsumption_resolution,[],[f2985,f1065]) ).
fof(f2985,plain,
( ~ ssList(sK23)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23
| spl72_35 ),
inference(subsumption_resolution,[],[f2984,f2297]) ).
fof(f2984,plain,
( ~ rearsegP(sK18,sK23)
| ~ ssList(sK23)
| ~ ssList(sK18)
| spl72_35 ),
inference(resolution,[],[f2920,f581]) ).
fof(f2920,plain,
( ~ ssList(sK66(sK18,sK23))
| spl72_35 ),
inference(avatar_component_clause,[],[f2918]) ).
fof(f2925,plain,
( ~ spl72_35
| spl72_36
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2678,f2159,f654,f2922,f2918]) ).
fof(f2678,plain,
( frontsegP(sK18,sK66(sK18,sK23))
| ~ ssList(sK66(sK18,sK23))
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2676,f1065]) ).
fof(f2676,plain,
( frontsegP(sK18,sK66(sK18,sK23))
| ~ ssList(sK23)
| ~ ssList(sK66(sK18,sK23))
| ~ spl72_2
| ~ spl72_23 ),
inference(superposition,[],[f2231,f2660]) ).
fof(f2660,plain,
( sK18 = app(sK66(sK18,sK23),sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2659,f378]) ).
fof(f2659,plain,
( sK18 = app(sK66(sK18,sK23),sK23)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2647,f1065]) ).
fof(f2647,plain,
( sK18 = app(sK66(sK18,sK23),sK23)
| ~ ssList(sK23)
| ~ ssList(sK18)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f582,f2297]) ).
fof(f2798,plain,
( ~ spl72_24
| spl72_33 ),
inference(avatar_contradiction_clause,[],[f2797]) ).
fof(f2797,plain,
( $false
| ~ spl72_24
| spl72_33 ),
inference(subsumption_resolution,[],[f2796,f378]) ).
fof(f2796,plain,
( ~ ssList(sK18)
| ~ spl72_24
| spl72_33 ),
inference(subsumption_resolution,[],[f2795,f400]) ).
fof(f2795,plain,
( ~ ssList(nil)
| ~ ssList(sK18)
| ~ spl72_24
| spl72_33 ),
inference(subsumption_resolution,[],[f2794,f2165]) ).
fof(f2794,plain,
( ~ rearsegP(sK18,nil)
| ~ ssList(nil)
| ~ ssList(sK18)
| spl72_33 ),
inference(resolution,[],[f2788,f581]) ).
fof(f2788,plain,
( ~ ssList(sK66(sK18,nil))
| spl72_33 ),
inference(avatar_component_clause,[],[f2786]) ).
fof(f2793,plain,
( ~ spl72_33
| spl72_34
| ~ spl72_24 ),
inference(avatar_split_clause,[],[f2669,f2163,f2790,f2786]) ).
fof(f2669,plain,
( frontsegP(sK18,sK66(sK18,nil))
| ~ ssList(sK66(sK18,nil))
| ~ spl72_24 ),
inference(subsumption_resolution,[],[f2667,f400]) ).
fof(f2667,plain,
( frontsegP(sK18,sK66(sK18,nil))
| ~ ssList(nil)
| ~ ssList(sK66(sK18,nil))
| ~ spl72_24 ),
inference(superposition,[],[f2231,f2658]) ).
fof(f2444,plain,
( ~ spl72_2
| spl72_8
| spl72_31 ),
inference(avatar_contradiction_clause,[],[f2443]) ).
fof(f2443,plain,
( $false
| ~ spl72_2
| spl72_8
| spl72_31 ),
inference(subsumption_resolution,[],[f2442,f1065]) ).
fof(f2442,plain,
( ~ ssList(sK23)
| spl72_8
| spl72_31 ),
inference(subsumption_resolution,[],[f2441,f1161]) ).
fof(f1161,plain,
( nil != sK23
| spl72_8 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f1160,plain,
( spl72_8
<=> nil = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).
fof(f2441,plain,
( nil = sK23
| ~ ssList(sK23)
| spl72_31 ),
inference(resolution,[],[f2435,f467]) ).
fof(f2435,plain,
( ~ ssItem(hd(sK23))
| spl72_31 ),
inference(avatar_component_clause,[],[f2433]) ).
fof(f2433,plain,
( spl72_31
<=> ssItem(hd(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_31])]) ).
fof(f2440,plain,
( ~ spl72_31
| ~ spl72_32
| ~ spl72_2
| spl72_8 ),
inference(avatar_split_clause,[],[f2386,f1160,f654,f2437,f2433]) ).
fof(f2437,plain,
( spl72_32
<=> sK23 = tl(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_32])]) ).
fof(f2386,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ spl72_2
| spl72_8 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f629,f570,f573,f574,f575,f631,f582,f632,f586,f633,f589,f636,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f473,f881,f852,f854,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f655,f1065,f1070,f1071,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f1089,f1066,f1093,f1096,f1097,f1098,f1095,f1118,f1119,f1113,f1121,f1122,f1114,f1124,f1125,f1067,f1127,f1130,f1131,f1129,f1147,f1148,f1149,f1068,f1165,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f1133,f1134,f1135,f1136,f1137,f1138,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1139,f1140,f1141,f1142,f1143,f1195,f1144,f1196,f1145,f1197,f1146,f1198,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f1236,f1237,f1238,f1107,f1108,f1109,f1240,f1110,f1241,f1111,f1242,f1112,f1243,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f1280,f1281,f1282,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1132,f1331,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1380,f1401,f1402,f1403,f1404,f1407,f1408,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1451,f815,f1431,f855,f1428,f1339,f1425,f591,f1489,f1531,f1532,f1533,f1534,f1537,f1540,f1538,f592,f1410,f413,f1632,f1628,f1636,f1638,f1640,f415,f1710,f416,f1727,f1736,f567,f1796,f1797,f1798,f1799,f1800,f1801,f1834,f1835,f1805,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f576,f1733,f577,f578,f2110,f2152,f2153,f1804,f1069,f1343,f1455,f1161,f2302,f2231,f2340,f2303,f2369,f2370,f2371,f2372,f2304,f2378,f2379,f2380,f2381,f2384]) ).
fof(f2384,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ ssList(tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f564,f2304]) ).
fof(f2381,plain,
( strictorderedP(sK23)
| ~ sP2(tl(sK23),hd(sK23))
| ~ sP3(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f446,f2304]) ).
fof(f2380,plain,
( ~ strictorderedP(sK23)
| sP2(tl(sK23),hd(sK23))
| ~ sP3(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f445,f2304]) ).
fof(f2379,plain,
( totalorderedP(sK23)
| ~ sP0(tl(sK23),hd(sK23))
| ~ sP1(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f438,f2304]) ).
fof(f2378,plain,
( ~ totalorderedP(sK23)
| sP0(tl(sK23),hd(sK23))
| ~ sP1(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f437,f2304]) ).
fof(f2304,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f629,f570,f573,f574,f575,f631,f582,f632,f586,f633,f589,f636,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f473,f881,f852,f854,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f655,f1065,f1070,f1071,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f1089,f1066,f1093,f1096,f1097,f1098,f1095,f1118,f1119,f1113,f1121,f1122,f1114,f1124,f1125,f1067,f1127,f1130,f1131,f1129,f1147,f1148,f1149,f1068,f1161,f1165,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f1133,f1134,f1135,f1136,f1137,f1138,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1139,f1140,f1141,f1142,f1143,f1195,f1144,f1196,f1145,f1197,f1146,f1198,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f1236,f1237,f1238,f1107,f1108,f1109,f1240,f1110,f1241,f1111,f1242,f1112,f1243,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f1280,f1281,f1282,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1132,f1331,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1380,f1401,f1402,f1403,f1404,f1407,f1408,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1451,f815,f1431,f855,f1428,f1339,f1425,f591,f1489,f1531,f1532,f1533,f1534,f1537,f1540,f1538,f592,f1410,f413,f1632,f1628,f1636,f1638,f1640,f415,f1710,f416,f1727,f1736,f567,f1796,f1797,f1798,f1799,f1800,f1801,f1834,f1835,f1805,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f576,f1733,f577,f578,f2110,f2152,f2153,f2231,f1804,f1069,f2302,f1343,f2303,f1455]) ).
fof(f2372,plain,
( strictorderedP(sK23)
| ~ sP2(sK25(sK23),sK26(sK23))
| ~ sP3(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f446,f2303]) ).
fof(f2371,plain,
( ~ strictorderedP(sK23)
| sP2(sK25(sK23),sK26(sK23))
| ~ sP3(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f445,f2303]) ).
fof(f2370,plain,
( totalorderedP(sK23)
| ~ sP0(sK25(sK23),sK26(sK23))
| ~ sP1(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f438,f2303]) ).
fof(f2369,plain,
( ~ totalorderedP(sK23)
| sP0(sK25(sK23),sK26(sK23))
| ~ sP1(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f437,f2303]) ).
fof(f2303,plain,
( sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f629,f570,f573,f574,f575,f631,f582,f632,f586,f633,f589,f636,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f473,f881,f852,f854,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f655,f1065,f1070,f1071,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f1089,f1066,f1093,f1096,f1097,f1098,f1095,f1118,f1119,f1113,f1121,f1122,f1114,f1124,f1125,f1067,f1127,f1130,f1131,f1129,f1147,f1148,f1149,f1068,f1161,f1165,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f1133,f1134,f1135,f1136,f1137,f1138,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1139,f1140,f1141,f1142,f1143,f1195,f1144,f1196,f1145,f1197,f1146,f1198,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f1236,f1237,f1238,f1107,f1108,f1109,f1240,f1110,f1241,f1111,f1242,f1112,f1243,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f1280,f1281,f1282,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1132,f1331,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1380,f1401,f1402,f1403,f1404,f1407,f1408,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1451,f815,f1431,f855,f1428,f1339,f1425,f591,f1489,f1531,f1532,f1533,f1534,f1537,f1540,f1538,f592,f1410,f1455,f413,f1632,f1628,f1636,f1638,f1640,f415,f1710,f416,f1727,f1736,f567,f1796,f1797,f1798,f1799,f1800,f1801,f1834,f1835,f1805,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f576,f1733,f577,f578,f2110,f2152,f2153,f2231,f1804,f1069,f2302,f1343]) ).
fof(f2302,plain,
( hd(sK23) = sK27(sK23)
| ~ spl72_2
| spl72_8 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f629,f570,f573,f574,f575,f631,f582,f632,f586,f633,f589,f636,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f473,f881,f852,f854,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f655,f1065,f1070,f1071,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f1089,f1066,f1093,f1096,f1097,f1098,f1095,f1118,f1119,f1113,f1121,f1122,f1114,f1124,f1125,f1067,f1127,f1130,f1131,f1129,f1147,f1148,f1149,f1068,f1161,f1165,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f1133,f1134,f1135,f1136,f1137,f1138,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1139,f1140,f1141,f1142,f1143,f1195,f1144,f1196,f1145,f1197,f1146,f1198,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f1099,f1100,f1101,f1102,f1103,f1104,f1105,f1106,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f1236,f1237,f1238,f1107,f1108,f1109,f1240,f1110,f1241,f1111,f1242,f1112,f1243,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f1280,f1281,f1282,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1132,f1331,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1380,f1401,f1402,f1403,f1404,f1407,f1408,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1451,f815,f1431,f855,f1428,f1339,f1425,f591,f1489,f1531,f1532,f1533,f1534,f1537,f1540,f1538,f592,f1410,f1455,f1343,f413,f1632,f1628,f1636,f1638,f1640,f415,f1710,f416,f1727,f1736,f567,f1796,f1797,f1798,f1799,f1800,f1801,f1834,f1835,f1805,f1807,f1808,f1809,f1810,f1811,f1812,f1813,f1814,f1815,f1816,f1817,f1818,f1819,f1820,f1821,f1822,f1823,f1824,f1825,f1826,f1827,f1828,f1829,f1830,f1831,f1832,f1833,f576,f1733,f577,f578,f2110,f2152,f2153,f2231,f1804,f1069]) ).
fof(f1455,plain,
( nil = sK23
| sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_2 ),
inference(resolution,[],[f469,f1065]) ).
fof(f1343,plain,
( nil = sK23
| sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_2 ),
inference(resolution,[],[f466,f1065]) ).
fof(f1069,plain,
( nil = sK23
| hd(sK23) = sK27(sK23)
| ~ spl72_2 ),
inference(resolution,[],[f1065,f471]) ).
fof(f1410,plain,
( sK23 != sK25(sK23)
| ~ ssItem(sK26(sK23))
| ~ spl72_2
| spl72_8 ),
inference(subsumption_resolution,[],[f1409,f1065]) ).
fof(f1409,plain,
( sK23 != sK25(sK23)
| ~ ssItem(sK26(sK23))
| ~ ssList(sK23)
| ~ spl72_2
| spl72_8 ),
inference(inner_rewriting,[],[f1407]) ).
fof(f1538,plain,
( memberP(sK23,hd(sK23))
| ~ ssList(tl(sK23))
| ~ ssItem(hd(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f639,f1489]) ).
fof(f1540,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ spl72_2
| spl72_8 ),
inference(subsumption_resolution,[],[f1539,f1065]) ).
fof(f1539,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ ssList(sK23)
| ~ spl72_2
| spl72_8 ),
inference(inner_rewriting,[],[f1537]) ).
fof(f1537,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ ssList(tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f564,f1489]) ).
fof(f1534,plain,
( strictorderedP(sK23)
| ~ sP2(tl(sK23),hd(sK23))
| ~ sP3(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f446,f1489]) ).
fof(f1533,plain,
( ~ strictorderedP(sK23)
| sP2(tl(sK23),hd(sK23))
| ~ sP3(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f445,f1489]) ).
fof(f1532,plain,
( totalorderedP(sK23)
| ~ sP0(tl(sK23),hd(sK23))
| ~ sP1(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f438,f1489]) ).
fof(f1531,plain,
( ~ totalorderedP(sK23)
| sP0(tl(sK23),hd(sK23))
| ~ sP1(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f437,f1489]) ).
fof(f1489,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| ~ spl72_2
| spl72_8 ),
inference(subsumption_resolution,[],[f1455,f1161]) ).
fof(f1408,plain,
( memberP(sK23,sK26(sK23))
| ~ ssList(sK25(sK23))
| ~ ssItem(sK26(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f639,f1380]) ).
fof(f1407,plain,
( sK23 != sK25(sK23)
| ~ ssItem(sK26(sK23))
| ~ ssList(sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f564,f1380]) ).
fof(f1404,plain,
( strictorderedP(sK23)
| ~ sP2(sK25(sK23),sK26(sK23))
| ~ sP3(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f446,f1380]) ).
fof(f1403,plain,
( ~ strictorderedP(sK23)
| sP2(sK25(sK23),sK26(sK23))
| ~ sP3(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f445,f1380]) ).
fof(f1402,plain,
( totalorderedP(sK23)
| ~ sP0(sK25(sK23),sK26(sK23))
| ~ sP1(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f438,f1380]) ).
fof(f1401,plain,
( ~ totalorderedP(sK23)
| sP0(sK25(sK23),sK26(sK23))
| ~ sP1(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f437,f1380]) ).
fof(f1380,plain,
( sK23 = cons(sK26(sK23),sK25(sK23))
| ~ spl72_2
| spl72_8 ),
inference(subsumption_resolution,[],[f1343,f1161]) ).
fof(f1331,plain,
( ! [X0] :
( sK23 = tl(cons(sK29(cons(X0,nil)),sK23))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(duplicate_literal_removal,[],[f1330]) ).
fof(f1330,plain,
( ! [X0] :
( sK23 = tl(cons(sK29(cons(X0,nil)),sK23))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) )
| ~ spl72_2 ),
inference(resolution,[],[f1132,f617]) ).
fof(f1132,plain,
( ! [X0] :
( ~ singletonP(X0)
| sK23 = tl(cons(sK29(X0),sK23))
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f474]) ).
fof(f1282,plain,
( ! [X0] :
( ~ lt(X0,sK71)
| sP2(cons(sK71,sK23),X0)
| ~ strictorderedP(cons(sK71,sK23))
| nil = cons(sK71,sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f451,f1114]) ).
fof(f1281,plain,
( ! [X0] :
( ~ lt(X0,sK70)
| sP2(cons(sK70,sK23),X0)
| ~ strictorderedP(cons(sK70,sK23))
| nil = cons(sK70,sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f451,f1113]) ).
fof(f1280,plain,
( ! [X0] :
( ~ lt(X0,sK24)
| sP2(cons(sK24,sK23),X0)
| ~ strictorderedP(cons(sK24,sK23))
| nil = cons(sK24,sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f451,f1095]) ).
fof(f1243,plain,
( ! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1112,f677]) ).
fof(f1112,plain,
( ! [X0] :
( sP16(X0)
| sK60(X0) = hd(cons(sK60(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f549]) ).
fof(f1242,plain,
( ! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1111,f677]) ).
fof(f1111,plain,
( ! [X0] :
( sP16(X0)
| sK59(X0) = hd(cons(sK59(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f548]) ).
fof(f1241,plain,
( ! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK23))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1110,f675]) ).
fof(f1110,plain,
( ! [X0] :
( sP14(X0)
| sK55(X0) = hd(cons(sK55(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f538]) ).
fof(f1240,plain,
( ! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK23))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1109,f675]) ).
fof(f1109,plain,
( ! [X0] :
( sP14(X0)
| sK54(X0) = hd(cons(sK54(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f537]) ).
fof(f1108,plain,
( ! [X0] :
( sP12(X0)
| sK50(X0) = hd(cons(sK50(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f526]) ).
fof(f1107,plain,
( ! [X0] :
( sP12(X0)
| sK49(X0) = hd(cons(sK49(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f525]) ).
fof(f1238,plain,
( ! [X0] :
( ~ leq(X0,sK71)
| sP0(cons(sK71,sK23),X0)
| ~ totalorderedP(cons(sK71,sK23))
| nil = cons(sK71,sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f443,f1114]) ).
fof(f1237,plain,
( ! [X0] :
( ~ leq(X0,sK70)
| sP0(cons(sK70,sK23),X0)
| ~ totalorderedP(cons(sK70,sK23))
| nil = cons(sK70,sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f443,f1113]) ).
fof(f1236,plain,
( ! [X0] :
( ~ leq(X0,sK24)
| sP0(cons(sK24,sK23),X0)
| ~ totalorderedP(cons(sK24,sK23))
| nil = cons(sK24,sK23) )
| ~ spl72_2 ),
inference(superposition,[],[f443,f1095]) ).
fof(f1106,plain,
( ! [X0] :
( sP10(X0)
| sK45(X0) = hd(cons(sK45(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f514]) ).
fof(f1105,plain,
( ! [X0] :
( sP10(X0)
| sK44(X0) = hd(cons(sK44(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f513]) ).
fof(f1104,plain,
( ! [X0] :
( sP8(X0)
| sK40(X0) = hd(cons(sK40(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f502]) ).
fof(f1103,plain,
( ! [X0] :
( sP8(X0)
| sK39(X0) = hd(cons(sK39(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f501]) ).
fof(f1102,plain,
( ! [X0] :
( sP6(X0)
| sK35(X0) = hd(cons(sK35(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f491]) ).
fof(f1101,plain,
( ! [X0] :
( sP6(X0)
| sK34(X0) = hd(cons(sK34(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f490]) ).
fof(f1100,plain,
( ! [X0] :
( sP4(X0)
| sK31(X0) = hd(cons(sK31(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f481]) ).
fof(f1099,plain,
( ! [X0] :
( sP4(X0)
| sK30(X0) = hd(cons(sK30(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f480]) ).
fof(f1198,plain,
( ! [X0] :
( sK23 = tl(cons(sK60(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1146,f677]) ).
fof(f1146,plain,
( ! [X0] :
( sP16(X0)
| sK23 = tl(cons(sK60(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f549]) ).
fof(f1197,plain,
( ! [X0] :
( sK23 = tl(cons(sK59(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1145,f677]) ).
fof(f1145,plain,
( ! [X0] :
( sP16(X0)
| sK23 = tl(cons(sK59(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f548]) ).
fof(f1196,plain,
( ! [X0] :
( sK23 = tl(cons(sK55(X0),sK23))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1144,f675]) ).
fof(f1144,plain,
( ! [X0] :
( sP14(X0)
| sK23 = tl(cons(sK55(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f538]) ).
fof(f1195,plain,
( ! [X0] :
( sK23 = tl(cons(sK54(X0),sK23))
| totalorderedP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1143,f675]) ).
fof(f1143,plain,
( ! [X0] :
( sP14(X0)
| sK23 = tl(cons(sK54(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f537]) ).
fof(f1142,plain,
( ! [X0] :
( sP12(X0)
| sK23 = tl(cons(sK50(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f526]) ).
fof(f1141,plain,
( ! [X0] :
( sP12(X0)
| sK23 = tl(cons(sK49(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f525]) ).
fof(f1140,plain,
( ! [X0] :
( sP10(X0)
| sK23 = tl(cons(sK45(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f514]) ).
fof(f1139,plain,
( ! [X0] :
( sP10(X0)
| sK23 = tl(cons(sK44(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f513]) ).
fof(f1138,plain,
( ! [X0] :
( sP8(X0)
| sK23 = tl(cons(sK40(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f502]) ).
fof(f1137,plain,
( ! [X0] :
( sP8(X0)
| sK23 = tl(cons(sK39(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f501]) ).
fof(f1136,plain,
( ! [X0] :
( sP6(X0)
| sK23 = tl(cons(sK35(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f491]) ).
fof(f1135,plain,
( ! [X0] :
( sP6(X0)
| sK23 = tl(cons(sK34(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f490]) ).
fof(f1134,plain,
( ! [X0] :
( sP4(X0)
| sK23 = tl(cons(sK31(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f481]) ).
fof(f1133,plain,
( ! [X0] :
( sP4(X0)
| sK23 = tl(cons(sK30(X0),sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f480]) ).
fof(f1165,plain,
( hd(sK23) = sK27(sK23)
| ~ spl72_2
| spl72_8 ),
inference(subsumption_resolution,[],[f1069,f1161]) ).
fof(f1068,plain,
( nil = sK23
| tl(sK23) = sK28(sK23)
| ~ spl72_2 ),
inference(resolution,[],[f1065,f473]) ).
fof(f1148,plain,
( sK23 = tl(cons(sK71,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f1067,f607]) ).
fof(f1147,plain,
( sK23 = tl(cons(sK70,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f1067,f606]) ).
fof(f1129,plain,
( sK23 = tl(cons(sK24,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f1067,f384]) ).
fof(f1131,plain,
( ! [X0] :
( sK23 = tl(cons(sK27(X0),sK23))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f470]) ).
fof(f1130,plain,
( ! [X0] :
( sK23 = tl(cons(sK26(X0),sK23))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f465]) ).
fof(f1127,plain,
( ! [X0] :
( sK23 = tl(cons(hd(X0),sK23))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1067,f467]) ).
fof(f1067,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK23 = tl(cons(X0,sK23)) )
| ~ spl72_2 ),
inference(resolution,[],[f1065,f565]) ).
fof(f1125,plain,
( ! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK23)
| ~ sP0(cons(sK71,sK23),X0) )
| ~ spl72_2 ),
inference(superposition,[],[f441,f1114]) ).
fof(f1124,plain,
( ! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK23)
| ~ sP2(cons(sK71,sK23),X0) )
| ~ spl72_2 ),
inference(superposition,[],[f449,f1114]) ).
fof(f1114,plain,
( sK71 = hd(cons(sK71,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f1066,f607]) ).
fof(f1122,plain,
( ! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK23)
| ~ sP0(cons(sK70,sK23),X0) )
| ~ spl72_2 ),
inference(superposition,[],[f441,f1113]) ).
fof(f1121,plain,
( ! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK23)
| ~ sP2(cons(sK70,sK23),X0) )
| ~ spl72_2 ),
inference(superposition,[],[f449,f1113]) ).
fof(f1113,plain,
( sK70 = hd(cons(sK70,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f1066,f606]) ).
fof(f1119,plain,
( ! [X0] :
( leq(X0,sK24)
| nil = cons(sK24,sK23)
| ~ sP0(cons(sK24,sK23),X0) )
| ~ spl72_2 ),
inference(superposition,[],[f441,f1095]) ).
fof(f1118,plain,
( ! [X0] :
( lt(X0,sK24)
| nil = cons(sK24,sK23)
| ~ sP2(cons(sK24,sK23),X0) )
| ~ spl72_2 ),
inference(superposition,[],[f449,f1095]) ).
fof(f1095,plain,
( sK24 = hd(cons(sK24,sK23))
| ~ spl72_2 ),
inference(resolution,[],[f1066,f384]) ).
fof(f1098,plain,
( ! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK23))
| ~ singletonP(X0)
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f474]) ).
fof(f1097,plain,
( ! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK23))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f470]) ).
fof(f1096,plain,
( ! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK23))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f465]) ).
fof(f1093,plain,
( ! [X0] :
( hd(X0) = hd(cons(hd(X0),sK23))
| nil = X0
| ~ ssList(X0) )
| ~ spl72_2 ),
inference(resolution,[],[f1066,f467]) ).
fof(f1066,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23)) = X0 )
| ~ spl72_2 ),
inference(resolution,[],[f1065,f566]) ).
fof(f2422,plain,
( ~ spl72_2
| spl72_8
| spl72_29 ),
inference(avatar_contradiction_clause,[],[f2421]) ).
fof(f2421,plain,
( $false
| ~ spl72_2
| spl72_8
| spl72_29 ),
inference(subsumption_resolution,[],[f2420,f1065]) ).
fof(f2420,plain,
( ~ ssList(sK23)
| spl72_8
| spl72_29 ),
inference(subsumption_resolution,[],[f2419,f1161]) ).
fof(f2419,plain,
( nil = sK23
| ~ ssList(sK23)
| spl72_29 ),
inference(resolution,[],[f2390,f464]) ).
fof(f2390,plain,
( ~ ssList(sK25(sK23))
| spl72_29 ),
inference(avatar_component_clause,[],[f2388]) ).
fof(f2388,plain,
( spl72_29
<=> ssList(sK25(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_29])]) ).
fof(f2395,plain,
( ~ spl72_29
| spl72_30
| ~ spl72_2
| spl72_8
| ~ spl72_13 ),
inference(avatar_split_clause,[],[f2377,f1591,f1160,f654,f2392,f2388]) ).
fof(f2392,plain,
( spl72_30
<=> memberP(sK23,sK26(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_30])]) ).
fof(f1591,plain,
( spl72_13
<=> ssItem(sK26(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f2377,plain,
( memberP(sK23,sK26(sK23))
| ~ ssList(sK25(sK23))
| ~ spl72_2
| spl72_8
| ~ spl72_13 ),
inference(subsumption_resolution,[],[f2376,f1592]) ).
fof(f1592,plain,
( ssItem(sK26(sK23))
| ~ spl72_13 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f2376,plain,
( memberP(sK23,sK26(sK23))
| ~ ssList(sK25(sK23))
| ~ ssItem(sK26(sK23))
| ~ spl72_2
| spl72_8 ),
inference(superposition,[],[f639,f2303]) ).
fof(f2368,plain,
( ~ spl72_27
| spl72_28
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2347,f2159,f654,f2365,f2361]) ).
fof(f2361,plain,
( spl72_27
<=> frontsegP(sK23,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_27])]) ).
fof(f2365,plain,
( spl72_28
<=> sK19 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_28])]) ).
fof(f2347,plain,
( sK19 = sK23
| ~ frontsegP(sK23,sK19)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2346,f1065]) ).
fof(f2346,plain,
( sK19 = sK23
| ~ frontsegP(sK23,sK19)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2345,f379]) ).
fof(f2345,plain,
( sK19 = sK23
| ~ frontsegP(sK23,sK19)
| ~ ssList(sK19)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2342,f578]) ).
fof(f2359,plain,
( ~ spl72_25
| spl72_26
| ~ spl72_2
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2307,f2159,f654,f2356,f2352]) ).
fof(f2352,plain,
( spl72_25
<=> rearsegP(sK23,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_25])]) ).
fof(f2356,plain,
( spl72_26
<=> sK18 = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_26])]) ).
fof(f2307,plain,
( sK18 = sK23
| ~ rearsegP(sK23,sK18)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2306,f1065]) ).
fof(f2306,plain,
( sK18 = sK23
| ~ rearsegP(sK23,sK18)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2305,f378]) ).
fof(f2305,plain,
( sK18 = sK23
| ~ rearsegP(sK23,sK18)
| ~ ssList(sK18)
| ~ ssList(sK23)
| ~ spl72_2
| ~ spl72_23 ),
inference(resolution,[],[f2297,f576]) ).
fof(f2295,plain,
( ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(avatar_contradiction_clause,[],[f2294]) ).
fof(f2294,plain,
( $false
| ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(subsumption_resolution,[],[f2242,f385]) ).
fof(f2242,plain,
( ~ memberP(sK18,sK24)
| ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(superposition,[],[f386,f2213]) ).
fof(f2213,plain,
( sK18 = sK19
| ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(forward_demodulation,[],[f2212,f710]) ).
fof(f2212,plain,
( sK19 = app(nil,sK18)
| ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(forward_demodulation,[],[f2189,f1162]) ).
fof(f1162,plain,
( nil = sK23
| ~ spl72_8 ),
inference(avatar_component_clause,[],[f1160]) ).
fof(f2189,plain,
( sK19 = app(sK23,sK18)
| ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(superposition,[],[f1089,f2184]) ).
fof(f2184,plain,
( sK18 = cons(sK22,nil)
| ~ spl72_2
| ~ spl72_8
| ~ spl72_23 ),
inference(forward_demodulation,[],[f2175,f1619]) ).
fof(f1619,plain,
( sK18 = app(cons(sK22,nil),nil)
| ~ spl72_2
| ~ spl72_8 ),
inference(superposition,[],[f1149,f1162]) ).
fof(f2175,plain,
( cons(sK22,nil) = app(cons(sK22,nil),nil)
| ~ spl72_23 ),
inference(resolution,[],[f2160,f462]) ).
fof(f2174,plain,
( ~ spl72_1
| spl72_23 ),
inference(avatar_contradiction_clause,[],[f2173]) ).
fof(f2173,plain,
( $false
| ~ spl72_1
| spl72_23 ),
inference(subsumption_resolution,[],[f2172,f400]) ).
fof(f2172,plain,
( ~ ssList(nil)
| ~ spl72_1
| spl72_23 ),
inference(subsumption_resolution,[],[f2171,f652]) ).
fof(f2171,plain,
( ~ ssItem(sK22)
| ~ ssList(nil)
| spl72_23 ),
inference(resolution,[],[f2161,f562]) ).
fof(f2161,plain,
( ~ ssList(cons(sK22,nil))
| spl72_23 ),
inference(avatar_component_clause,[],[f2159]) ).
fof(f2169,plain,
spl72_24,
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2168,plain,
( $false
| spl72_24 ),
inference(subsumption_resolution,[],[f2167,f378]) ).
fof(f2167,plain,
( ~ ssList(sK18)
| spl72_24 ),
inference(resolution,[],[f2164,f457]) ).
fof(f2164,plain,
( ~ rearsegP(sK18,nil)
| spl72_24 ),
inference(avatar_component_clause,[],[f2163]) ).
fof(f2166,plain,
( ~ spl72_23
| spl72_24
| ~ spl72_2
| ~ spl72_8 ),
inference(avatar_split_clause,[],[f2157,f1160,f654,f2163,f2159]) ).
fof(f2157,plain,
( rearsegP(sK18,nil)
| ~ ssList(cons(sK22,nil))
| ~ spl72_2
| ~ spl72_8 ),
inference(forward_demodulation,[],[f2156,f1162]) ).
fof(f1946,plain,
( spl72_3
| spl72_21 ),
inference(avatar_contradiction_clause,[],[f1945]) ).
fof(f1945,plain,
( $false
| spl72_3
| spl72_21 ),
inference(subsumption_resolution,[],[f1944,f379]) ).
fof(f1944,plain,
( ~ ssList(sK19)
| spl72_3
| spl72_21 ),
inference(subsumption_resolution,[],[f1943,f668]) ).
fof(f1943,plain,
( nil = sK19
| ~ ssList(sK19)
| spl72_21 ),
inference(resolution,[],[f1937,f464]) ).
fof(f1937,plain,
( ~ ssList(sK25(sK19))
| spl72_21 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1942,plain,
( ~ spl72_21
| spl72_22
| spl72_3
| ~ spl72_11 ),
inference(avatar_split_clause,[],[f1933,f1561,f660,f1939,f1935]) ).
fof(f1939,plain,
( spl72_22
<=> memberP(sK19,sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).
fof(f1933,plain,
( memberP(sK19,sK26(sK19))
| ~ ssList(sK25(sK19))
| spl72_3
| ~ spl72_11 ),
inference(subsumption_resolution,[],[f1398,f1562]) ).
fof(f1398,plain,
( memberP(sK19,sK26(sK19))
| ~ ssList(sK25(sK19))
| ~ ssItem(sK26(sK19))
| spl72_3 ),
inference(superposition,[],[f639,f1374]) ).
fof(f1699,plain,
( spl72_4
| spl72_19 ),
inference(avatar_contradiction_clause,[],[f1698]) ).
fof(f1698,plain,
( $false
| spl72_4
| spl72_19 ),
inference(subsumption_resolution,[],[f1697,f378]) ).
fof(f1697,plain,
( ~ ssList(sK18)
| spl72_4
| spl72_19 ),
inference(subsumption_resolution,[],[f1696,f665]) ).
fof(f665,plain,
( nil != sK18
| spl72_4 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl72_4
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f1696,plain,
( nil = sK18
| ~ ssList(sK18)
| spl72_19 ),
inference(resolution,[],[f1690,f464]) ).
fof(f1690,plain,
( ~ ssList(sK25(sK18))
| spl72_19 ),
inference(avatar_component_clause,[],[f1688]) ).
fof(f1688,plain,
( spl72_19
<=> ssList(sK25(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f1695,plain,
( ~ spl72_19
| spl72_20
| spl72_4
| ~ spl72_9 ),
inference(avatar_split_clause,[],[f1559,f1412,f664,f1692,f1688]) ).
fof(f1692,plain,
( spl72_20
<=> memberP(sK18,sK26(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f1412,plain,
( spl72_9
<=> ssItem(sK26(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f1559,plain,
( memberP(sK18,sK26(sK18))
| ~ ssList(sK25(sK18))
| spl72_4
| ~ spl72_9 ),
inference(subsumption_resolution,[],[f1558,f1413]) ).
fof(f1413,plain,
( ssItem(sK26(sK18))
| ~ spl72_9 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1558,plain,
( memberP(sK18,sK26(sK18))
| ~ ssList(sK25(sK18))
| ~ ssItem(sK26(sK18))
| spl72_4 ),
inference(superposition,[],[f639,f1500]) ).
fof(f1500,plain,
( sK18 = cons(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1494,f1451,f1495,f815,f1496,f1431,f1497,f855,f1498,f1428,f1499,f1339]) ).
fof(f1499,plain,
( tl(sK18) = sK28(sK18)
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f1339,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1494,f1451,f1495,f815,f1496,f1431,f1497,f855,f1498,f1428]) ).
fof(f1498,plain,
( tl(sK18) = sK28(sK18)
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f1339,f1428,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1494,f1451,f1495,f815,f1496,f1431,f1497,f855]) ).
fof(f1497,plain,
( hd(sK18) = sK27(sK18)
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f1339,f1428,f855,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1494,f1451,f1495,f815,f1496,f1431]) ).
fof(f1496,plain,
( hd(sK18) = sK27(sK18)
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f1339,f1428,f855,f1431,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1494,f1451,f1495,f815]) ).
fof(f1495,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f1339,f1428,f855,f1431,f815,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493,f1494,f1451]) ).
fof(f1494,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl72_4 ),
inference(global_subsumption,[],[f391,f390,f389,f388,f387,f413,f415,f416,f425,f640,f426,f427,f428,f429,f430,f433,f431,f638,f435,f434,f455,f454,f453,f484,f618,f495,f637,f506,f621,f518,f622,f530,f623,f542,f624,f553,f625,f626,f627,f628,f567,f629,f570,f573,f574,f575,f576,f577,f578,f631,f582,f632,f586,f633,f589,f636,f592,f591,f594,f596,f595,f597,f598,f599,f600,f601,f602,f603,f604,f605,f378,f379,f380,f381,f384,f392,f393,f394,f395,f396,f397,f398,f399,f400,f606,f607,f382,f383,f385,f386,f608,f613,f615,f641,f642,f643,f647,f486,f497,f509,f521,f533,f544,f555,f658,f665,f401,f402,f403,f404,f456,f457,f458,f459,f460,f461,f480,f481,f482,f483,f490,f491,f492,f493,f494,f501,f502,f503,f504,f505,f513,f514,f515,f516,f517,f525,f526,f527,f528,f529,f537,f538,f539,f540,f541,f548,f549,f550,f551,f552,f644,f405,f406,f407,f408,f409,f410,f411,f477,f487,f498,f510,f522,f534,f535,f545,f546,f669,f670,f671,f444,f672,f673,f674,f675,f676,f677,f452,f462,f707,f708,f683,f684,f463,f734,f735,f710,f711,f474,f485,f496,f507,f508,f519,f520,f531,f532,f543,f554,f440,f448,f464,f740,f741,f465,f467,f468,f742,f743,f470,f472,f744,f745,f556,f558,f560,f562,f761,f762,f572,f763,f764,f563,f564,f639,f687,f412,f688,f689,f690,f691,f692,f693,f694,f695,f696,f697,f698,f414,f699,f700,f701,f771,f702,f772,f703,f773,f704,f774,f705,f775,f706,f776,f714,f715,f716,f418,f717,f718,f719,f720,f721,f722,f723,f724,f419,f725,f726,f727,f728,f788,f729,f789,f730,f790,f731,f791,f732,f792,f733,f793,f420,f796,f421,f422,f424,f437,f438,f441,f445,f446,f449,f808,f809,f810,f471,f841,f812,f814,f846,f819,f820,f821,f822,f823,f824,f825,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f842,f473,f881,f852,f854,f886,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f882,f475,f565,f891,f892,f894,f921,f922,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f895,f923,f925,f926,f924,f942,f943,f566,f947,f948,f950,f977,f978,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f896,f979,f981,f982,f980,f998,f999,f951,f1003,f1005,f1006,f1007,f1004,f1024,f1025,f1022,f1027,f1028,f1023,f1030,f1031,f952,f1033,f1035,f1036,f1037,f580,f1059,f1060,f648,f1034,f1074,f1075,f1052,f1077,f1078,f1053,f1080,f1081,f928,f617,f1168,f929,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f568,f1171,f1172,f1173,f1174,f1175,f1176,f940,f941,f1178,f984,f985,f986,f987,f988,f989,f990,f991,f992,f569,f1179,f1180,f1181,f1182,f1183,f1184,f993,f994,f1185,f995,f1186,f996,f1187,f997,f1188,f581,f1189,f1190,f1191,f1192,f1193,f1194,f1008,f1009,f1010,f584,f1199,f1200,f1201,f1202,f1203,f1204,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f1205,f1019,f1206,f1020,f1207,f1021,f1208,f585,f1209,f1210,f1211,f1212,f1213,f1214,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1215,f588,f1216,f1217,f1218,f1219,f1220,f1221,f1049,f1222,f1050,f1223,f1051,f1224,f443,f1226,f1228,f1229,f1230,f1232,f1233,f1234,f893,f1244,f1247,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1246,f1264,f1265,f451,f1272,f1273,f1274,f1276,f1277,f1278,f949,f1284,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1286,f1311,f1312,f1313,f1314,f1304,f1316,f1317,f1318,f1319,f1305,f1321,f1322,f1323,f1324,f927,f1327,f983,f1329,f1169,f1332,f1170,f1333,f1177,f1334,f466,f1372,f1336,f1338,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f1373,f1381,f1382,f1383,f1384,f1387,f1388,f1390,f1425,f1339,f1428,f855,f1431,f815,f469,f1484,f1448,f1450,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1474,f1475,f1476,f1477,f1478,f1479,f1480,f1481,f1482,f1483,f1493]) ).
fof(f1390,plain,
( sK18 != sK25(sK18)
| ~ ssItem(sK26(sK18))
| spl72_4 ),
inference(subsumption_resolution,[],[f1389,f378]) ).
fof(f1389,plain,
( sK18 != sK25(sK18)
| ~ ssItem(sK26(sK18))
| ~ ssList(sK18)
| spl72_4 ),
inference(inner_rewriting,[],[f1387]) ).
fof(f1388,plain,
( memberP(sK18,sK26(sK18))
| ~ ssList(sK25(sK18))
| ~ ssItem(sK26(sK18))
| spl72_4 ),
inference(superposition,[],[f639,f1373]) ).
fof(f1387,plain,
( sK18 != sK25(sK18)
| ~ ssItem(sK26(sK18))
| ~ ssList(sK25(sK18))
| spl72_4 ),
inference(superposition,[],[f564,f1373]) ).
fof(f1384,plain,
( strictorderedP(sK18)
| ~ sP2(sK25(sK18),sK26(sK18))
| ~ sP3(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(superposition,[],[f446,f1373]) ).
fof(f1383,plain,
( ~ strictorderedP(sK18)
| sP2(sK25(sK18),sK26(sK18))
| ~ sP3(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(superposition,[],[f445,f1373]) ).
fof(f1382,plain,
( totalorderedP(sK18)
| ~ sP0(sK25(sK18),sK26(sK18))
| ~ sP1(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(superposition,[],[f438,f1373]) ).
fof(f1381,plain,
( ~ totalorderedP(sK18)
| sP0(sK25(sK18),sK26(sK18))
| ~ sP1(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(superposition,[],[f437,f1373]) ).
fof(f1373,plain,
( sK18 = cons(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(subsumption_resolution,[],[f1339,f665]) ).
fof(f1377,plain,
( sK18 = cons(sK26(sK18),sK25(sK18))
| spl72_4 ),
inference(forward_demodulation,[],[f1376,f383]) ).
fof(f1376,plain,
( sK20 = cons(sK26(sK20),sK25(sK20))
| spl72_4 ),
inference(subsumption_resolution,[],[f1375,f665]) ).
fof(f882,plain,
( tl(sK18) = sK28(sK18)
| spl72_4 ),
inference(subsumption_resolution,[],[f855,f665]) ).
fof(f886,plain,
( tl(sK18) = sK28(sK18)
| spl72_4 ),
inference(forward_demodulation,[],[f885,f383]) ).
fof(f885,plain,
( tl(sK20) = sK28(sK20)
| spl72_4 ),
inference(subsumption_resolution,[],[f884,f665]) ).
fof(f842,plain,
( hd(sK18) = sK27(sK18)
| spl72_4 ),
inference(subsumption_resolution,[],[f815,f665]) ).
fof(f846,plain,
( hd(sK18) = sK27(sK18)
| spl72_4 ),
inference(forward_demodulation,[],[f845,f383]) ).
fof(f845,plain,
( hd(sK20) = sK27(sK20)
| spl72_4 ),
inference(subsumption_resolution,[],[f844,f665]) ).
fof(f1676,plain,
( spl72_4
| spl72_17 ),
inference(avatar_contradiction_clause,[],[f1675]) ).
fof(f1675,plain,
( $false
| spl72_4
| spl72_17 ),
inference(subsumption_resolution,[],[f1674,f378]) ).
fof(f1674,plain,
( ~ ssList(sK18)
| spl72_4
| spl72_17 ),
inference(subsumption_resolution,[],[f1673,f665]) ).
fof(f1673,plain,
( nil = sK18
| ~ ssList(sK18)
| spl72_17 ),
inference(resolution,[],[f1667,f467]) ).
fof(f1667,plain,
( ~ ssItem(hd(sK18))
| spl72_17 ),
inference(avatar_component_clause,[],[f1665]) ).
fof(f1665,plain,
( spl72_17
<=> ssItem(hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_17])]) ).
fof(f1672,plain,
( ~ spl72_17
| ~ spl72_18
| spl72_4 ),
inference(avatar_split_clause,[],[f1550,f664,f1669,f1665]) ).
fof(f1669,plain,
( spl72_18
<=> sK18 = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f1550,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| spl72_4 ),
inference(subsumption_resolution,[],[f1549,f378]) ).
fof(f1549,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(sK18)
| spl72_4 ),
inference(inner_rewriting,[],[f1547]) ).
fof(f1547,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(tl(sK18))
| spl72_4 ),
inference(superposition,[],[f564,f1494]) ).
fof(f1653,plain,
( spl72_3
| spl72_15 ),
inference(avatar_contradiction_clause,[],[f1652]) ).
fof(f1652,plain,
( $false
| spl72_3
| spl72_15 ),
inference(subsumption_resolution,[],[f1651,f379]) ).
fof(f1651,plain,
( ~ ssList(sK19)
| spl72_3
| spl72_15 ),
inference(subsumption_resolution,[],[f1650,f668]) ).
fof(f1650,plain,
( nil = sK19
| ~ ssList(sK19)
| spl72_15 ),
inference(resolution,[],[f1644,f467]) ).
fof(f1644,plain,
( ~ ssItem(hd(sK19))
| spl72_15 ),
inference(avatar_component_clause,[],[f1642]) ).
fof(f1649,plain,
( ~ spl72_15
| ~ spl72_16
| spl72_3 ),
inference(avatar_split_clause,[],[f1530,f660,f1646,f1642]) ).
fof(f1646,plain,
( spl72_16
<=> sK19 = tl(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f1530,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| spl72_3 ),
inference(subsumption_resolution,[],[f1529,f379]) ).
fof(f1529,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(sK19)
| spl72_3 ),
inference(inner_rewriting,[],[f1527]) ).
fof(f1527,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(tl(sK19))
| spl72_3 ),
inference(superposition,[],[f564,f1485]) ).
fof(f1485,plain,
( sK19 = cons(hd(sK19),tl(sK19))
| spl72_3 ),
inference(subsumption_resolution,[],[f1452,f668]) ).
fof(f1452,plain,
( nil = sK19
| sK19 = cons(hd(sK19),tl(sK19)) ),
inference(resolution,[],[f469,f379]) ).
fof(f1602,plain,
( ~ spl72_2
| spl72_8
| spl72_13 ),
inference(avatar_contradiction_clause,[],[f1601]) ).
fof(f1601,plain,
( $false
| ~ spl72_2
| spl72_8
| spl72_13 ),
inference(subsumption_resolution,[],[f1600,f1065]) ).
fof(f1600,plain,
( ~ ssList(sK23)
| spl72_8
| spl72_13 ),
inference(subsumption_resolution,[],[f1599,f1161]) ).
fof(f1599,plain,
( nil = sK23
| ~ ssList(sK23)
| spl72_13 ),
inference(resolution,[],[f1593,f465]) ).
fof(f1593,plain,
( ~ ssItem(sK26(sK23))
| spl72_13 ),
inference(avatar_component_clause,[],[f1591]) ).
fof(f1598,plain,
( ~ spl72_13
| ~ spl72_14
| ~ spl72_2
| spl72_8 ),
inference(avatar_split_clause,[],[f1410,f1160,f654,f1595,f1591]) ).
fof(f1595,plain,
( spl72_14
<=> sK23 = sK25(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f1572,plain,
( spl72_3
| spl72_11 ),
inference(avatar_contradiction_clause,[],[f1571]) ).
fof(f1571,plain,
( $false
| spl72_3
| spl72_11 ),
inference(subsumption_resolution,[],[f1570,f379]) ).
fof(f1570,plain,
( ~ ssList(sK19)
| spl72_3
| spl72_11 ),
inference(subsumption_resolution,[],[f1569,f668]) ).
fof(f1569,plain,
( nil = sK19
| ~ ssList(sK19)
| spl72_11 ),
inference(resolution,[],[f1563,f465]) ).
fof(f1563,plain,
( ~ ssItem(sK26(sK19))
| spl72_11 ),
inference(avatar_component_clause,[],[f1561]) ).
fof(f1568,plain,
( ~ spl72_11
| ~ spl72_12
| spl72_3 ),
inference(avatar_split_clause,[],[f1400,f660,f1565,f1561]) ).
fof(f1565,plain,
( spl72_12
<=> sK19 = sK25(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).
fof(f1400,plain,
( sK19 != sK25(sK19)
| ~ ssItem(sK26(sK19))
| spl72_3 ),
inference(subsumption_resolution,[],[f1399,f379]) ).
fof(f1399,plain,
( sK19 != sK25(sK19)
| ~ ssItem(sK26(sK19))
| ~ ssList(sK19)
| spl72_3 ),
inference(inner_rewriting,[],[f1397]) ).
fof(f1397,plain,
( sK19 != sK25(sK19)
| ~ ssItem(sK26(sK19))
| ~ ssList(sK25(sK19))
| spl72_3 ),
inference(superposition,[],[f564,f1374]) ).
fof(f1492,plain,
~ spl72_4,
inference(avatar_contradiction_clause,[],[f1491]) ).
fof(f1491,plain,
( $false
| ~ spl72_4 ),
inference(subsumption_resolution,[],[f1490,f384]) ).
fof(f1490,plain,
( ~ ssItem(sK24)
| ~ spl72_4 ),
inference(resolution,[],[f1435,f401]) ).
fof(f1435,plain,
( memberP(nil,sK24)
| ~ spl72_4 ),
inference(superposition,[],[f385,f666]) ).
fof(f666,plain,
( nil = sK18
| ~ spl72_4 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f1423,plain,
( spl72_4
| spl72_9 ),
inference(avatar_contradiction_clause,[],[f1422]) ).
fof(f1422,plain,
( $false
| spl72_4
| spl72_9 ),
inference(subsumption_resolution,[],[f1421,f378]) ).
fof(f1421,plain,
( ~ ssList(sK18)
| spl72_4
| spl72_9 ),
inference(subsumption_resolution,[],[f1420,f665]) ).
fof(f1420,plain,
( nil = sK18
| ~ ssList(sK18)
| spl72_9 ),
inference(resolution,[],[f1414,f465]) ).
fof(f1414,plain,
( ~ ssItem(sK26(sK18))
| spl72_9 ),
inference(avatar_component_clause,[],[f1412]) ).
fof(f1419,plain,
( ~ spl72_9
| ~ spl72_10
| spl72_4 ),
inference(avatar_split_clause,[],[f1390,f664,f1416,f1412]) ).
fof(f1416,plain,
( spl72_10
<=> sK18 = sK25(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).
fof(f1163,plain,
( spl72_7
| spl72_8
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f1068,f654,f1160,f1156]) ).
fof(f1156,plain,
( spl72_7
<=> tl(sK23) = sK28(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f1058,plain,
( spl72_2
| spl72_3 ),
inference(avatar_contradiction_clause,[],[f1057]) ).
fof(f1057,plain,
( $false
| spl72_2
| spl72_3 ),
inference(subsumption_resolution,[],[f1056,f379]) ).
fof(f1056,plain,
( ~ ssList(sK19)
| spl72_2
| spl72_3 ),
inference(subsumption_resolution,[],[f1055,f400]) ).
fof(f1055,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| spl72_2
| spl72_3 ),
inference(subsumption_resolution,[],[f1054,f668]) ).
fof(f1054,plain,
( nil = sK19
| ~ ssList(nil)
| ~ ssList(sK19)
| spl72_2 ),
inference(resolution,[],[f580,f656]) ).
fof(f656,plain,
( ~ neq(sK19,nil)
| spl72_2 ),
inference(avatar_component_clause,[],[f654]) ).
fof(f787,plain,
( ~ spl72_5
| ~ spl72_6
| spl72_2
| spl72_3 ),
inference(avatar_split_clause,[],[f778,f660,f654,f784,f780]) ).
fof(f780,plain,
( spl72_5
<=> ssItem(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f784,plain,
( spl72_6
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f778,plain,
( ~ ssItem(nil)
| ~ ssItem(sK19)
| spl72_2
| spl72_3 ),
inference(subsumption_resolution,[],[f777,f668]) ).
fof(f777,plain,
( nil = sK19
| ~ ssItem(nil)
| ~ ssItem(sK19)
| spl72_2 ),
inference(resolution,[],[f418,f656]) ).
fof(f667,plain,
( ~ spl72_3
| spl72_4 ),
inference(avatar_split_clause,[],[f658,f664,f660]) ).
fof(f657,plain,
( spl72_1
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f647,f654,f650]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SWC397+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Apr 30 04:04:04 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (14419)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.38 % (14422)WARNING: value z3 for option sas not known
% 0.15/0.38 % (14420)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (14423)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (14421)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (14425)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.15/0.38 % (14424)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (14422)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (14426)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.15/0.41 TRYING [3]
% 0.21/0.46 TRYING [4]
% 0.21/0.47 TRYING [4]
% 0.21/0.55 TRYING [5]
% 1.45/0.56 TRYING [5]
% 2.53/0.75 TRYING [6]
% 2.81/0.81 TRYING [6]
% 3.41/0.87 % (14422)First to succeed.
% 3.70/0.90 % (14422)Refutation found. Thanks to Tanya!
% 3.70/0.90 % SZS status Theorem for theBenchmark
% 3.70/0.90 % SZS output start Proof for theBenchmark
% See solution above
% 3.70/0.92 % (14422)------------------------------
% 3.70/0.92 % (14422)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 3.70/0.92 % (14422)Termination reason: Refutation
% 3.70/0.92
% 3.70/0.92 % (14422)Memory used [KB]: 8572
% 3.70/0.92 % (14422)Time elapsed: 0.519 s
% 3.70/0.92 % (14422)Instructions burned: 1565 (million)
% 3.70/0.92 % (14422)------------------------------
% 3.70/0.92 % (14422)------------------------------
% 3.70/0.92 % (14419)Success in time 0.541 s
%------------------------------------------------------------------------------