TSTP Solution File: SWC198+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC198+1 : TPTP v8.2.0. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n020.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 May 21 05:02:53 EDT 2024
% Result : Theorem 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 204
% Syntax : Number of formulae : 2121 ( 86 unt; 0 def)
% Number of atoms : 8081 (2214 equ)
% Maximal formula atoms : 26 ( 3 avg)
% Number of connectives : 9808 (3848 ~;4743 |; 812 &)
% ( 111 <=>; 294 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 77 ( 75 usr; 39 prp; 0-2 aty)
% Number of functors : 58 ( 58 usr; 7 con; 0-2 aty)
% Number of variables : 3091 (2737 !; 354 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4684,plain,
$false,
inference(avatar_sat_refutation,[],[f667,f795,f798,f1098,f1102,f1176,f1177,f1178,f1179,f1180,f1494,f1498,f1514,f1518,f1601,f1605,f1621,f1625,f1781,f1785,f1887,f1930,f2029,f2035,f2045,f2059,f2086,f2090,f2106,f2115,f2119,f2327,f2331,f3103,f3107,f3167,f3171,f3611,f3622,f3850,f4011,f4017,f4019,f4021,f4023,f4025,f4027,f4029,f4031,f4033,f4683]) ).
fof(f4683,plain,
( ~ spl72_2
| ~ spl72_3
| ~ spl72_11 ),
inference(avatar_contradiction_clause,[],[f4682]) ).
fof(f4682,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| ~ spl72_11 ),
inference(subsumption_resolution,[],[f4680,f1595]) ).
fof(f1595,plain,
( ssItem(hd(sK20))
| ~ spl72_11 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1594,plain,
( spl72_11
<=> ssItem(hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_11])]) ).
fof(f4680,plain,
( ~ ssItem(hd(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_11 ),
inference(trivial_inequality_removal,[],[f4677]) ).
fof(f4677,plain,
( hd(sK20) != hd(sK20)
| ~ ssItem(hd(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_11 ),
inference(superposition,[],[f395,f4535]) ).
fof(f4535,plain,
( hd(sK20) = sK24(hd(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_11 ),
inference(resolution,[],[f4532,f1595]) ).
fof(f4532,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK24(X0) = hd(sK20) )
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f4528,f393]) ).
fof(f393,plain,
! [X4] :
( ssItem(sK24(X4))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ! [X4] :
( ( sK24(X4) != X4
& memberP(sK20,sK24(X4))
& ssItem(sK24(X4)) )
| ~ ssItem(X4) )
& sK20 = sK22
& sK21 = sK23
& ssList(sK23)
& ssList(sK22)
& ssList(sK21)
& ssList(sK20) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21,sK22,sK23,sK24])],[f257,f262,f261,f260,f259,f258]) ).
fof(f258,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(X0,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f259,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = X2
& sK21 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X3] :
( ( ( nil = sK22
& nil = X3 )
| sP0(X3,sK22) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = sK22
& sK21 = X3
& ssList(X3) )
=> ( ( ( nil = sK22
& nil = sK23 )
| sP0(sK23,sK22) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& sK20 = sK22
& sK21 = sK23
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
! [X4] :
( ? [X5] :
( X4 != X5
& memberP(sK20,X5)
& ssItem(X5) )
=> ( sK24(X4) != X4
& memberP(sK20,sK24(X4))
& ssItem(sK24(X4)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X4] :
( ? [X5] :
( X4 != X5
& memberP(X0,X5)
& ssItem(X5) )
| ~ ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(rectify,[],[f225]) ).
fof(f225,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| sP0(X3,X2) )
& ! [X6] :
( ? [X7] :
( X6 != X7
& memberP(X0,X7)
& ssItem(X7) )
| ~ ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f100,f224]) ).
fof(f224,plain,
! [X3,X2] :
( ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ? [X7] :
( X6 != X7
& memberP(X0,X7)
& ssItem(X7) )
| ~ ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ! [X6] :
( ? [X7] :
( X6 != X7
& memberP(X0,X7)
& ssItem(X7) )
| ~ 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)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X4,X5)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ? [X6] :
( ! [X7] :
( ssItem(X7)
=> ( X6 = X7
| ~ memberP(X0,X7) ) )
& ssItem(X6) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X6] :
( ssItem(X6)
=> ( ? [X7] :
( leq(X6,X7)
& memberP(X3,X7)
& X6 != X7
& ssItem(X7) )
| ~ memberP(X3,X6)
| cons(X6,nil) != X2 ) ) )
| ? [X4] :
( ! [X5] :
( ssItem(X5)
=> ( X4 = X5
| ~ memberP(X0,X5) ) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X6] :
( ssItem(X6)
=> ( ? [X7] :
( leq(X6,X7)
& memberP(X3,X7)
& X6 != X7
& ssItem(X7) )
| ~ memberP(X3,X6)
| cons(X6,nil) != X2 ) ) )
| ? [X4] :
( ! [X5] :
( ssItem(X5)
=> ( X4 = X5
| ~ memberP(X0,X5) ) )
& ssItem(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f4528,plain,
( ! [X0] :
( sK24(X0) = hd(sK20)
| ~ ssItem(sK24(X0))
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_3 ),
inference(resolution,[],[f4195,f394]) ).
fof(f394,plain,
! [X4] :
( memberP(sK20,sK24(X4))
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f263]) ).
fof(f4195,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| hd(sK20) = X0
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f4194,f2915]) ).
fof(f2915,plain,
( sK19(sK21,sK20) = hd(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f2891,f1184]) ).
fof(f1184,plain,
( sK20 = cons(sK19(sK21,sK20),nil)
| ~ spl72_2 ),
inference(resolution,[],[f666,f384]) ).
fof(f384,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK19(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0,X1] :
( ( ! [X3] :
( ~ leq(sK19(X0,X1),X3)
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3) )
& memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK19])],[f254,f255]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ leq(X2,X3)
| ~ memberP(X0,X3)
| X2 = X3
| ~ ssItem(X3) )
& memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
=> ( ! [X3] :
( ~ leq(sK19(X0,X1),X3)
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3) )
& memberP(X0,sK19(X0,X1))
& cons(sK19(X0,X1),nil) = X1
& ssItem(sK19(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
! [X0,X1] :
( ? [X2] :
( ! [X3] :
( ~ leq(X2,X3)
| ~ memberP(X0,X3)
| X2 = X3
| ~ ssItem(X3) )
& memberP(X0,X2)
& cons(X2,nil) = X1
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f253]) ).
fof(f253,plain,
! [X3,X2] :
( ? [X4] :
( ! [X5] :
( ~ leq(X4,X5)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f224]) ).
fof(f666,plain,
( sP0(sK21,sK20)
| ~ spl72_2 ),
inference(avatar_component_clause,[],[f664]) ).
fof(f664,plain,
( spl72_2
<=> sP0(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_2])]) ).
fof(f2891,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),nil))
| ~ spl72_3 ),
inference(resolution,[],[f956,f789]) ).
fof(f789,plain,
( ssItem(sK19(sK21,sK20))
| ~ spl72_3 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f788,plain,
( spl72_3
<=> ssItem(sK19(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_3])]) ).
fof(f956,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f572,f406]) ).
fof(f406,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f572,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(f4194,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f4193,f407]) ).
fof(f407,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(f4193,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| memberP(nil,X0)
| ~ ssItem(X0) )
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f4192,f789]) ).
fof(f4192,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| memberP(nil,X0)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f4179,f406]) ).
fof(f4179,plain,
( ! [X0] :
( ~ memberP(sK20,X0)
| sK19(sK21,sK20) = X0
| memberP(nil,X0)
| ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssItem(X0) )
| ~ spl72_2 ),
inference(superposition,[],[f437,f1184]) ).
fof(f437,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f270,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,[],[f269]) ).
fof(f269,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(f395,plain,
! [X4] :
( sK24(X4) != X4
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f263]) ).
fof(f4033,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_22
| ~ spl72_38 ),
inference(avatar_contradiction_clause,[],[f4032]) ).
fof(f4032,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_22
| ~ spl72_38 ),
inference(global_subsumption,[],[f3849,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3152,f3153,f3154,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f3021,f2923,f2740,f1580,f2914,f2913,f2738,f2737,f2043]) ).
fof(f2043,plain,
( nil != tl(sK20)
| spl72_22 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2042,plain,
( spl72_22
<=> nil = tl(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_22])]) ).
fof(f2737,plain,
nil = tl(cons(sK70,nil)),
inference(resolution,[],[f924,f612]) ).
fof(f2738,plain,
nil = tl(cons(sK71,nil)),
inference(resolution,[],[f924,f613]) ).
fof(f2913,plain,
sK70 = hd(cons(sK70,nil)),
inference(resolution,[],[f956,f612]) ).
fof(f2914,plain,
sK71 = hd(cons(sK71,nil)),
inference(resolution,[],[f956,f613]) ).
fof(f1580,plain,
( sP3(tl(sK20),hd(sK20))
| ~ sP4(hd(sK20),tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1573,f803]) ).
fof(f1573,plain,
( ~ strictorderedP(sK20)
| sP3(tl(sK20),hd(sK20))
| ~ sP4(hd(sK20),tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f451,f1563]) ).
fof(f2740,plain,
( nil = tl(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f2715,f1184]) ).
fof(f2715,plain,
( nil = tl(cons(sK19(sK21,sK20),nil))
| ~ spl72_3 ),
inference(resolution,[],[f924,f789]) ).
fof(f2923,plain,
( sK20 = cons(hd(sK20),nil)
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f1184,f2915]) ).
fof(f3021,plain,
( cons(hd(sK20),sK20) = app(sK20,sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f3020,f2915]) ).
fof(f3020,plain,
( cons(sK19(sK21,sK20),sK20) = app(sK20,sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f2995,f1184]) ).
fof(f2995,plain,
( cons(sK19(sK21,sK20),sK20) = app(cons(sK19(sK21,sK20),nil),sK20)
| ~ spl72_3 ),
inference(resolution,[],[f1892,f789]) ).
fof(f4006,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f3900,f406]) ).
fof(f3900,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f607,f2602]) ).
fof(f3997,plain,
! [X0] :
( app(nil,X0) != sK21
| sK21 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3996,f388]) ).
fof(f3996,plain,
! [X0] :
( app(nil,X0) != sK21
| sK21 = X0
| ~ ssList(X0)
| ~ ssList(sK21) ),
inference(subsumption_resolution,[],[f3897,f406]) ).
fof(f3897,plain,
! [X0] :
( app(nil,X0) != sK21
| sK21 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK21) ),
inference(superposition,[],[f607,f710]) ).
fof(f3991,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3990,f387]) ).
fof(f3990,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(subsumption_resolution,[],[f3894,f406]) ).
fof(f3894,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK20) ),
inference(superposition,[],[f607,f709]) ).
fof(f3981,plain,
! [X0] :
( sK21 != app(sK21,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3980,f406]) ).
fof(f3980,plain,
! [X0] :
( sK21 != app(sK21,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3889,f388]) ).
fof(f3889,plain,
! [X0] :
( sK21 != app(sK21,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK21)
| ~ ssList(nil) ),
inference(superposition,[],[f607,f683]) ).
fof(f3979,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3978,f406]) ).
fof(f3978,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3888,f387]) ).
fof(f3888,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK20)
| ~ ssList(nil) ),
inference(superposition,[],[f607,f682]) ).
fof(f3955,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(sK69(nil,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3875,f406]) ).
fof(f3875,plain,
! [X0] :
( nil != app(nil,X0)
| sK69(nil,nil) = X0
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f607,f2602]) ).
fof(f3946,plain,
! [X0] :
( app(nil,X0) != sK21
| sK21 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3945,f406]) ).
fof(f3945,plain,
! [X0] :
( app(nil,X0) != sK21
| sK21 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3872,f388]) ).
fof(f3872,plain,
! [X0] :
( app(nil,X0) != sK21
| sK21 = X0
| ~ ssList(sK21)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f607,f710]) ).
fof(f3940,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3939,f406]) ).
fof(f3939,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3869,f387]) ).
fof(f3869,plain,
! [X0] :
( app(nil,X0) != sK20
| sK20 = X0
| ~ ssList(sK20)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f607,f709]) ).
fof(f3930,plain,
! [X0] :
( sK21 != app(sK21,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3929,f388]) ).
fof(f3929,plain,
! [X0] :
( sK21 != app(sK21,X0)
| nil = X0
| ~ ssList(sK21)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3864,f406]) ).
fof(f3864,plain,
! [X0] :
( sK21 != app(sK21,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK21)
| ~ ssList(X0) ),
inference(superposition,[],[f607,f683]) ).
fof(f3928,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3927,f387]) ).
fof(f3927,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3863,f406]) ).
fof(f3863,plain,
! [X0] :
( sK20 != app(sK20,X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(superposition,[],[f607,f682]) ).
fof(f607,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(f3733,plain,
! [X0] :
( sK21 != app(X0,sK21)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3732,f388]) ).
fof(f3732,plain,
! [X0] :
( sK21 != app(X0,sK21)
| nil = X0
| ~ ssList(sK21)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3656,f406]) ).
fof(f3656,plain,
! [X0] :
( sK21 != app(X0,sK21)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK21)
| ~ ssList(X0) ),
inference(superposition,[],[f606,f710]) ).
fof(f3727,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3726,f387]) ).
fof(f3726,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3653,f406]) ).
fof(f3653,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(superposition,[],[f606,f709]) ).
fof(f3714,plain,
! [X0] :
( app(X0,nil) != sK21
| sK21 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3713,f406]) ).
fof(f3713,plain,
! [X0] :
( app(X0,nil) != sK21
| sK21 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3648,f388]) ).
fof(f3648,plain,
! [X0] :
( app(X0,nil) != sK21
| sK21 = X0
| ~ ssList(sK21)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f606,f683]) ).
fof(f3712,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3711,f406]) ).
fof(f3711,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3647,f387]) ).
fof(f3647,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(sK20)
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f606,f682]) ).
fof(f3784,plain,
! [X0] :
( sK21 != app(X0,sK21)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3783,f406]) ).
fof(f3783,plain,
! [X0] :
( sK21 != app(X0,sK21)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3681,f388]) ).
fof(f3681,plain,
! [X0] :
( sK21 != app(X0,sK21)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK21)
| ~ ssList(nil) ),
inference(superposition,[],[f606,f710]) ).
fof(f3778,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3777,f406]) ).
fof(f3777,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f3678,f387]) ).
fof(f3678,plain,
! [X0] :
( sK20 != app(X0,sK20)
| nil = X0
| ~ ssList(X0)
| ~ ssList(sK20)
| ~ ssList(nil) ),
inference(superposition,[],[f606,f709]) ).
fof(f3774,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f3676,f406]) ).
fof(f3676,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f606,f2536]) ).
fof(f3765,plain,
! [X0] :
( app(X0,nil) != sK21
| sK21 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3764,f388]) ).
fof(f3764,plain,
! [X0] :
( app(X0,nil) != sK21
| sK21 = X0
| ~ ssList(X0)
| ~ ssList(sK21) ),
inference(subsumption_resolution,[],[f3673,f406]) ).
fof(f3673,plain,
! [X0] :
( app(X0,nil) != sK21
| sK21 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK21) ),
inference(superposition,[],[f606,f683]) ).
fof(f3763,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3762,f387]) ).
fof(f3762,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(subsumption_resolution,[],[f3672,f406]) ).
fof(f3672,plain,
! [X0] :
( app(X0,nil) != sK20
| sK20 = X0
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK20) ),
inference(superposition,[],[f606,f682]) ).
fof(f3723,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(sK66(nil,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3651,f406]) ).
fof(f3651,plain,
! [X0] :
( nil != app(X0,nil)
| sK66(nil,nil) = X0
| ~ ssList(sK66(nil,nil))
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(superposition,[],[f606,f2536]) ).
fof(f606,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(f3588,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,[],[f580,f594]) ).
fof(f3587,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,[],[f580,f591]) ).
fof(f3586,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,[],[f580,f590]) ).
fof(f3585,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,[],[f580,f587]) ).
fof(f3584,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,[],[f580,f575]) ).
fof(f3583,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,[],[f580,f574]) ).
fof(f3582,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK63(X1))) = app(tl(X0),sK63(X1))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f580,f558]) ).
fof(f3581,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK62(X1))) = app(tl(X0),sK62(X1))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f580,f557]) ).
fof(f3580,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK61(X1))) = app(tl(X0),sK61(X1))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f580,f556]) ).
fof(f3579,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK58(X1))) = app(tl(X0),sK58(X1))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f580,f547]) ).
fof(f3578,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK57(X1))) = app(tl(X0),sK57(X1))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f580,f546]) ).
fof(f3577,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK56(X1))) = app(tl(X0),sK56(X1))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f580,f545]) ).
fof(f3576,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK53(X1))) = app(tl(X0),sK53(X1))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f580,f535]) ).
fof(f3575,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK52(X1))) = app(tl(X0),sK52(X1))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f580,f534]) ).
fof(f3574,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK51(X1))) = app(tl(X0),sK51(X1))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f580,f533]) ).
fof(f3573,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK48(X1))) = app(tl(X0),sK48(X1))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f580,f523]) ).
fof(f3572,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK47(X1))) = app(tl(X0),sK47(X1))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f580,f522]) ).
fof(f3571,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK46(X1))) = app(tl(X0),sK46(X1))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f580,f521]) ).
fof(f3570,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK43(X1))) = app(tl(X0),sK43(X1))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f580,f511]) ).
fof(f3569,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK42(X1))) = app(tl(X0),sK42(X1))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f580,f510]) ).
fof(f3568,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK41(X1))) = app(tl(X0),sK41(X1))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f580,f509]) ).
fof(f3567,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK38(X1))) = app(tl(X0),sK38(X1))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f580,f500]) ).
fof(f3566,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK37(X1))) = app(tl(X0),sK37(X1))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f580,f499]) ).
fof(f3565,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK36(X1))) = app(tl(X0),sK36(X1))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f580,f498]) ).
fof(f3564,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK33(X1))) = app(tl(X0),sK33(X1))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f580,f489]) ).
fof(f3563,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK32(X1))) = app(tl(X0),sK32(X1))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f580,f488]) ).
fof(f3562,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK28(X1))) = app(tl(X0),sK28(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f580,f478]) ).
fof(f3559,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,sK25(X1))) = app(tl(X0),sK25(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f580,f470]) ).
fof(f3590,plain,
! [X0] :
( tl(app(X0,sK21)) = app(tl(X0),sK21)
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3558,f391]) ).
fof(f3558,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK23)) = app(tl(X0),sK23)
| ~ ssList(X0) ),
inference(resolution,[],[f580,f390]) ).
fof(f3589,plain,
! [X0] :
( tl(app(X0,sK20)) = app(tl(X0),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f3557,f392]) ).
fof(f3557,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK22)) = app(tl(X0),sK22)
| ~ ssList(X0) ),
inference(resolution,[],[f580,f389]) ).
fof(f3556,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK21)) = app(tl(X0),sK21)
| ~ ssList(X0) ),
inference(resolution,[],[f580,f388]) ).
fof(f3555,plain,
! [X0] :
( nil = X0
| tl(app(X0,sK20)) = app(tl(X0),sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f580,f387]) ).
fof(f3553,plain,
! [X0,X1] :
( nil = X0
| tl(app(X0,tl(X1))) = app(tl(X0),tl(X1))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f580,f474]) ).
fof(f3552,plain,
! [X0] :
( nil = X0
| app(tl(X0),nil) = tl(app(X0,nil))
| ~ ssList(X0) ),
inference(resolution,[],[f580,f406]) ).
fof(f3550,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,[],[f580,f578]) ).
fof(f3545,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,[],[f580,f568]) ).
fof(f580,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(f3386,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK21)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3374,f388]) ).
fof(f3374,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK21)
| ~ ssList(X1)
| ~ ssList(sK21)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3373]) ).
fof(f3373,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK21)
| ~ ssList(X1)
| ~ ssList(sK21)
| ~ ssList(X0)
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f610,f2771]) ).
fof(f3385,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3375,f387]) ).
fof(f3375,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ frontsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3372]) ).
fof(f3372,plain,
! [X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ frontsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f610,f2769]) ).
fof(f3383,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,[],[f3378,f578]) ).
fof(f3378,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,[],[f3369]) ).
fof(f3369,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,[],[f610,f605]) ).
fof(f3382,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| ~ frontsegP(X0,app(X1,X2))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3379,f578]) ).
fof(f3379,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,[],[f3368]) ).
fof(f3368,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,[],[f610,f2185]) ).
fof(f610,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(f3302,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,[],[f3292,f578]) ).
fof(f3292,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,[],[f3285]) ).
fof(f3285,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,[],[f609,f604]) ).
fof(f3301,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,app(X2,X1))
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssList(X2) ),
inference(subsumption_resolution,[],[f3293,f578]) ).
fof(f3293,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,[],[f3284]) ).
fof(f3284,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,[],[f609,f2132]) ).
fof(f3300,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK21)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3294,f388]) ).
fof(f3294,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK21)
| ~ ssList(X1)
| ~ ssList(sK21)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3283]) ).
fof(f3283,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK21)
| ~ ssList(X1)
| ~ ssList(sK21)
| ~ ssList(X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f609,f2652]) ).
fof(f3299,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(subsumption_resolution,[],[f3295,f387]) ).
fof(f3295,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ rearsegP(nil,X1) ),
inference(duplicate_literal_removal,[],[f3282]) ).
fof(f3282,plain,
! [X0,X1] :
( rearsegP(X0,X1)
| ~ rearsegP(X0,sK20)
| ~ ssList(X1)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ rearsegP(nil,X1)
| ~ ssList(X1) ),
inference(resolution,[],[f609,f2650]) ).
fof(f609,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(f608,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(f3150,plain,
( ssList(cons(sK71,sK20))
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f3141,f387]) ).
fof(f3141,plain,
( ssList(cons(sK71,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f578,f3018]) ).
fof(f3158,plain,
( frontsegP(cons(sK71,sK20),cons(sK71,nil))
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f3147,f387]) ).
fof(f3147,plain,
( frontsegP(cons(sK71,sK20),cons(sK71,nil))
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f2185,f3018]) ).
fof(f3157,plain,
( rearsegP(cons(sK71,sK20),sK20)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f3146,f387]) ).
fof(f3146,plain,
( rearsegP(cons(sK71,sK20),sK20)
| ~ ssList(cons(sK71,nil))
| ~ ssList(sK20) ),
inference(superposition,[],[f2132,f3018]) ).
fof(f3156,plain,
! [X0] :
( frontsegP(cons(sK71,sK20),X0)
| ~ frontsegP(cons(sK71,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f3145,f387]) ).
fof(f3145,plain,
! [X0] :
( frontsegP(cons(sK71,sK20),X0)
| ~ frontsegP(cons(sK71,nil),X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f605,f3018]) ).
fof(f3155,plain,
! [X0] :
( rearsegP(cons(sK71,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3144,f387]) ).
fof(f3144,plain,
! [X0] :
( rearsegP(cons(sK71,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(superposition,[],[f604,f3018]) ).
fof(f3154,plain,
( nil != cons(sK71,sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f580,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1580,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f3021,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3150,f3152,f3153]) ).
fof(f3153,plain,
( nil != cons(sK71,sK20)
| nil = cons(sK71,nil)
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f3143,f387]) ).
fof(f3143,plain,
( nil != cons(sK71,sK20)
| nil = cons(sK71,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f598,f3018]) ).
fof(f3152,plain,
( nil != cons(sK71,sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f3151,f387]) ).
fof(f3151,plain,
( nil != cons(sK71,sK20)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f3142,f805]) ).
fof(f3142,plain,
( nil != cons(sK71,sK20)
| nil = sK20
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f597,f3018]) ).
fof(f3149,plain,
! [X0] :
( memberP(cons(sK71,sK20),X0)
| ~ memberP(sK20,X0)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3140,f387]) ).
fof(f3140,plain,
! [X0] :
( memberP(cons(sK71,sK20),X0)
| ~ memberP(sK20,X0)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f461,f3018]) ).
fof(f3148,plain,
! [X0] :
( memberP(cons(sK71,sK20),X0)
| ~ memberP(cons(sK71,nil),X0)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3139,f387]) ).
fof(f3139,plain,
! [X0] :
( memberP(cons(sK71,sK20),X0)
| ~ memberP(cons(sK71,nil),X0)
| ~ ssList(sK20)
| ~ ssList(cons(sK71,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f460,f3018]) ).
fof(f3018,plain,
cons(sK71,sK20) = app(cons(sK71,nil),sK20),
inference(resolution,[],[f1892,f613]) ).
fof(f490,plain,
! [X0] :
( sP5(X0)
| app(sK32(X0),cons(sK30(X0),cons(sK31(X0),sK33(X0)))) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ( sP5(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) )
| ~ sP5(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30,sK31,sK32,sK33])],[f296,f300,f299,f298,f297]) ).
fof(f297,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(f298,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(f299,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(f300,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(f296,plain,
! [X0] :
( ( sP5(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) )
| ~ sP5(X0) ) ),
inference(rectify,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ( sP5(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) )
| ~ sP5(X0) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP5(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,[sP5])]) ).
fof(f3086,plain,
( ssList(cons(sK70,sK20))
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f3077,f387]) ).
fof(f3077,plain,
( ssList(cons(sK70,sK20))
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f578,f3017]) ).
fof(f3094,plain,
( frontsegP(cons(sK70,sK20),cons(sK70,nil))
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f3083,f387]) ).
fof(f3083,plain,
( frontsegP(cons(sK70,sK20),cons(sK70,nil))
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f2185,f3017]) ).
fof(f3093,plain,
( rearsegP(cons(sK70,sK20),sK20)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f3082,f387]) ).
fof(f3082,plain,
( rearsegP(cons(sK70,sK20),sK20)
| ~ ssList(cons(sK70,nil))
| ~ ssList(sK20) ),
inference(superposition,[],[f2132,f3017]) ).
fof(f3092,plain,
! [X0] :
( frontsegP(cons(sK70,sK20),X0)
| ~ frontsegP(cons(sK70,nil),X0)
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f3081,f387]) ).
fof(f3081,plain,
! [X0] :
( frontsegP(cons(sK70,sK20),X0)
| ~ frontsegP(cons(sK70,nil),X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f605,f3017]) ).
fof(f3091,plain,
! [X0] :
( rearsegP(cons(sK70,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f3080,f387]) ).
fof(f3080,plain,
! [X0] :
( rearsegP(cons(sK70,sK20),X0)
| ~ rearsegP(sK20,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(superposition,[],[f604,f3017]) ).
fof(f3090,plain,
( nil != cons(sK70,sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f490,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f580,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1580,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f3021,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f3018,f436,f3063,f3065,f3017,f3084,f3085,f3086,f3088,f3089]) ).
fof(f3089,plain,
( nil != cons(sK70,sK20)
| nil = cons(sK70,nil)
| ~ ssList(cons(sK70,nil)) ),
inference(subsumption_resolution,[],[f3079,f387]) ).
fof(f3079,plain,
( nil != cons(sK70,sK20)
| nil = cons(sK70,nil)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f598,f3017]) ).
fof(f3088,plain,
( nil != cons(sK70,sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f3087,f387]) ).
fof(f3087,plain,
( nil != cons(sK70,sK20)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f3078,f805]) ).
fof(f3078,plain,
( nil != cons(sK70,sK20)
| nil = sK20
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil)) ),
inference(superposition,[],[f597,f3017]) ).
fof(f3085,plain,
! [X0] :
( memberP(cons(sK70,sK20),X0)
| ~ memberP(sK20,X0)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3076,f387]) ).
fof(f3076,plain,
! [X0] :
( memberP(cons(sK70,sK20),X0)
| ~ memberP(sK20,X0)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f461,f3017]) ).
fof(f3084,plain,
! [X0] :
( memberP(cons(sK70,sK20),X0)
| ~ memberP(cons(sK70,nil),X0)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f3075,f387]) ).
fof(f3075,plain,
! [X0] :
( memberP(cons(sK70,sK20),X0)
| ~ memberP(cons(sK70,nil),X0)
| ~ ssList(sK20)
| ~ ssList(cons(sK70,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f460,f3017]) ).
fof(f3017,plain,
cons(sK70,sK20) = app(cons(sK70,nil),sK20),
inference(resolution,[],[f1892,f612]) ).
fof(f3065,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,[],[f3064]) ).
fof(f3064,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,[],[f436,f419]) ).
fof(f3063,plain,
! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ lt(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP3(X1,X2) ),
inference(resolution,[],[f436,f455]) ).
fof(f436,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(f3016,plain,
! [X0] :
( cons(sK60(X0),sK20) = app(cons(sK60(X0),nil),sK20)
| sP17(X0) ),
inference(resolution,[],[f1892,f555]) ).
fof(f3015,plain,
! [X0] :
( cons(sK59(X0),sK20) = app(cons(sK59(X0),nil),sK20)
| sP17(X0) ),
inference(resolution,[],[f1892,f554]) ).
fof(f3014,plain,
! [X0] :
( cons(sK55(X0),sK20) = app(cons(sK55(X0),nil),sK20)
| sP15(X0) ),
inference(resolution,[],[f1892,f544]) ).
fof(f3013,plain,
! [X0] :
( cons(sK54(X0),sK20) = app(cons(sK54(X0),nil),sK20)
| sP15(X0) ),
inference(resolution,[],[f1892,f543]) ).
fof(f3012,plain,
! [X0] :
( cons(sK50(X0),sK20) = app(cons(sK50(X0),nil),sK20)
| sP13(X0) ),
inference(resolution,[],[f1892,f532]) ).
fof(f3011,plain,
! [X0] :
( cons(sK49(X0),sK20) = app(cons(sK49(X0),nil),sK20)
| sP13(X0) ),
inference(resolution,[],[f1892,f531]) ).
fof(f3010,plain,
! [X0] :
( cons(sK45(X0),sK20) = app(cons(sK45(X0),nil),sK20)
| sP11(X0) ),
inference(resolution,[],[f1892,f520]) ).
fof(f3009,plain,
! [X0] :
( cons(sK44(X0),sK20) = app(cons(sK44(X0),nil),sK20)
| sP11(X0) ),
inference(resolution,[],[f1892,f519]) ).
fof(f3008,plain,
! [X0] :
( cons(sK40(X0),sK20) = app(cons(sK40(X0),nil),sK20)
| sP9(X0) ),
inference(resolution,[],[f1892,f508]) ).
fof(f3007,plain,
! [X0] :
( cons(sK39(X0),sK20) = app(cons(sK39(X0),nil),sK20)
| sP9(X0) ),
inference(resolution,[],[f1892,f507]) ).
fof(f3006,plain,
! [X0] :
( cons(sK35(X0),sK20) = app(cons(sK35(X0),nil),sK20)
| sP7(X0) ),
inference(resolution,[],[f1892,f497]) ).
fof(f3005,plain,
! [X0] :
( cons(sK34(X0),sK20) = app(cons(sK34(X0),nil),sK20)
| sP7(X0) ),
inference(resolution,[],[f1892,f496]) ).
fof(f3004,plain,
! [X0] :
( cons(sK31(X0),sK20) = app(cons(sK31(X0),nil),sK20)
| sP5(X0) ),
inference(resolution,[],[f1892,f487]) ).
fof(f3003,plain,
! [X0] :
( cons(sK30(X0),sK20) = app(cons(sK30(X0),nil),sK20)
| sP5(X0) ),
inference(resolution,[],[f1892,f486]) ).
fof(f3001,plain,
! [X0] :
( cons(sK29(X0),sK20) = app(cons(sK29(X0),nil),sK20)
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1892,f480]) ).
fof(f3000,plain,
! [X0] :
( cons(sK27(X0),sK20) = app(cons(sK27(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1892,f476]) ).
fof(f2997,plain,
! [X0] :
( cons(sK26(X0),sK20) = app(cons(sK26(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1892,f471]) ).
fof(f2996,plain,
! [X0] :
( cons(sK24(X0),sK20) = app(cons(sK24(X0),nil),sK20)
| ~ ssItem(X0) ),
inference(resolution,[],[f1892,f393]) ).
fof(f2994,plain,
! [X0,X1] :
( cons(sK19(X0,X1),sK20) = app(cons(sK19(X0,X1),nil),sK20)
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1892,f383]) ).
fof(f2991,plain,
! [X0] :
( cons(hd(X0),sK20) = app(cons(hd(X0),nil),sK20)
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1892,f473]) ).
fof(f1892,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK20) = app(cons(X0,nil),sK20) ),
inference(resolution,[],[f573,f387]) ).
fof(f2990,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,[],[f2989]) ).
fof(f2989,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,[],[f435,f419]) ).
fof(f2988,plain,
! [X2,X0,X1] :
( lt(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP3(X1,X2) ),
inference(resolution,[],[f435,f455]) ).
fof(f435,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(f2977,plain,
( ssItem(sK24(sK71))
| nil = cons(sK24(sK71),nil)
| ~ ssList(cons(sK24(sK71),nil)) ),
inference(superposition,[],[f473,f2963]) ).
fof(f2976,plain,
! [X0] :
( leq(X0,sK24(sK71))
| nil = cons(sK24(sK71),nil)
| ~ sP1(cons(sK24(sK71),nil),X0) ),
inference(superposition,[],[f447,f2963]) ).
fof(f2975,plain,
! [X0] :
( lt(X0,sK24(sK71))
| nil = cons(sK24(sK71),nil)
| ~ sP3(cons(sK24(sK71),nil),X0) ),
inference(superposition,[],[f455,f2963]) ).
fof(f2974,plain,
! [X0] :
( ~ leq(X0,sK24(sK71))
| sP1(cons(sK24(sK71),nil),X0)
| ~ totalorderedP(cons(sK24(sK71),nil))
| nil = cons(sK24(sK71),nil) ),
inference(superposition,[],[f449,f2963]) ).
fof(f2973,plain,
! [X0] :
( ~ lt(X0,sK24(sK71))
| sP3(cons(sK24(sK71),nil),X0)
| ~ strictorderedP(cons(sK24(sK71),nil))
| nil = cons(sK24(sK71),nil) ),
inference(superposition,[],[f457,f2963]) ).
fof(f2963,plain,
sK24(sK71) = hd(cons(sK24(sK71),nil)),
inference(resolution,[],[f2892,f613]) ).
fof(f2972,plain,
( ssItem(sK24(sK70))
| nil = cons(sK24(sK70),nil)
| ~ ssList(cons(sK24(sK70),nil)) ),
inference(superposition,[],[f473,f2962]) ).
fof(f2971,plain,
! [X0] :
( leq(X0,sK24(sK70))
| nil = cons(sK24(sK70),nil)
| ~ sP1(cons(sK24(sK70),nil),X0) ),
inference(superposition,[],[f447,f2962]) ).
fof(f2970,plain,
! [X0] :
( lt(X0,sK24(sK70))
| nil = cons(sK24(sK70),nil)
| ~ sP3(cons(sK24(sK70),nil),X0) ),
inference(superposition,[],[f455,f2962]) ).
fof(f2969,plain,
! [X0] :
( ~ leq(X0,sK24(sK70))
| sP1(cons(sK24(sK70),nil),X0)
| ~ totalorderedP(cons(sK24(sK70),nil))
| nil = cons(sK24(sK70),nil) ),
inference(superposition,[],[f449,f2962]) ).
fof(f2968,plain,
! [X0] :
( ~ lt(X0,sK24(sK70))
| sP3(cons(sK24(sK70),nil),X0)
| ~ strictorderedP(cons(sK24(sK70),nil))
| nil = cons(sK24(sK70),nil) ),
inference(superposition,[],[f457,f2962]) ).
fof(f2962,plain,
sK24(sK70) = hd(cons(sK24(sK70),nil)),
inference(resolution,[],[f2892,f612]) ).
fof(f2961,plain,
! [X0] :
( sK24(sK60(X0)) = hd(cons(sK24(sK60(X0)),nil))
| sP17(X0) ),
inference(resolution,[],[f2892,f555]) ).
fof(f2960,plain,
! [X0] :
( sK24(sK59(X0)) = hd(cons(sK24(sK59(X0)),nil))
| sP17(X0) ),
inference(resolution,[],[f2892,f554]) ).
fof(f2959,plain,
! [X0] :
( sK24(sK55(X0)) = hd(cons(sK24(sK55(X0)),nil))
| sP15(X0) ),
inference(resolution,[],[f2892,f544]) ).
fof(f2958,plain,
! [X0] :
( sK24(sK54(X0)) = hd(cons(sK24(sK54(X0)),nil))
| sP15(X0) ),
inference(resolution,[],[f2892,f543]) ).
fof(f2957,plain,
! [X0] :
( sK24(sK50(X0)) = hd(cons(sK24(sK50(X0)),nil))
| sP13(X0) ),
inference(resolution,[],[f2892,f532]) ).
fof(f2956,plain,
! [X0] :
( sK24(sK49(X0)) = hd(cons(sK24(sK49(X0)),nil))
| sP13(X0) ),
inference(resolution,[],[f2892,f531]) ).
fof(f2955,plain,
! [X0] :
( sK24(sK45(X0)) = hd(cons(sK24(sK45(X0)),nil))
| sP11(X0) ),
inference(resolution,[],[f2892,f520]) ).
fof(f2954,plain,
! [X0] :
( sK24(sK44(X0)) = hd(cons(sK24(sK44(X0)),nil))
| sP11(X0) ),
inference(resolution,[],[f2892,f519]) ).
fof(f2953,plain,
! [X0] :
( sK24(sK40(X0)) = hd(cons(sK24(sK40(X0)),nil))
| sP9(X0) ),
inference(resolution,[],[f2892,f508]) ).
fof(f2952,plain,
! [X0] :
( sK24(sK39(X0)) = hd(cons(sK24(sK39(X0)),nil))
| sP9(X0) ),
inference(resolution,[],[f2892,f507]) ).
fof(f2951,plain,
! [X0] :
( sK24(sK35(X0)) = hd(cons(sK24(sK35(X0)),nil))
| sP7(X0) ),
inference(resolution,[],[f2892,f497]) ).
fof(f2950,plain,
! [X0] :
( sK24(sK34(X0)) = hd(cons(sK24(sK34(X0)),nil))
| sP7(X0) ),
inference(resolution,[],[f2892,f496]) ).
fof(f2949,plain,
! [X0] :
( sK24(sK31(X0)) = hd(cons(sK24(sK31(X0)),nil))
| sP5(X0) ),
inference(resolution,[],[f2892,f487]) ).
fof(f2948,plain,
! [X0] :
( sK24(sK30(X0)) = hd(cons(sK24(sK30(X0)),nil))
| sP5(X0) ),
inference(resolution,[],[f2892,f486]) ).
fof(f2946,plain,
! [X0] :
( sK24(sK29(X0)) = hd(cons(sK24(sK29(X0)),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2892,f480]) ).
fof(f2945,plain,
! [X0] :
( sK24(sK27(X0)) = hd(cons(sK24(sK27(X0)),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2892,f476]) ).
fof(f2942,plain,
! [X0] :
( sK24(sK26(X0)) = hd(cons(sK24(sK26(X0)),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2892,f471]) ).
fof(f2941,plain,
! [X0] :
( sK24(sK24(X0)) = hd(cons(sK24(sK24(X0)),nil))
| ~ ssItem(X0) ),
inference(resolution,[],[f2892,f393]) ).
fof(f2964,plain,
( sK24(hd(sK20)) = hd(cons(sK24(hd(sK20)),nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f2940,f2915]) ).
fof(f2940,plain,
( sK24(sK19(sK21,sK20)) = hd(cons(sK24(sK19(sK21,sK20)),nil))
| ~ spl72_3 ),
inference(resolution,[],[f2892,f789]) ).
fof(f2939,plain,
! [X0,X1] :
( sK24(sK19(X0,X1)) = hd(cons(sK24(sK19(X0,X1)),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f2892,f383]) ).
fof(f2936,plain,
! [X0] :
( sK24(hd(X0)) = hd(cons(sK24(hd(X0)),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2892,f473]) ).
fof(f2892,plain,
! [X0] :
( ~ ssItem(X0)
| sK24(X0) = hd(cons(sK24(X0),nil)) ),
inference(resolution,[],[f956,f393]) ).
fof(f2935,plain,
( memberP(sK21,hd(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f2933,f666]) ).
fof(f2933,plain,
( memberP(sK21,hd(sK20))
| ~ sP0(sK21,sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f385,f2915]) ).
fof(f2912,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f956,f555]) ).
fof(f2911,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f956,f554]) ).
fof(f2910,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f956,f544]) ).
fof(f2909,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f956,f543]) ).
fof(f2908,plain,
! [X0] :
( sK50(X0) = hd(cons(sK50(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f956,f532]) ).
fof(f2907,plain,
! [X0] :
( sK49(X0) = hd(cons(sK49(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f956,f531]) ).
fof(f2906,plain,
! [X0] :
( sK45(X0) = hd(cons(sK45(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f956,f520]) ).
fof(f2905,plain,
! [X0] :
( sK44(X0) = hd(cons(sK44(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f956,f519]) ).
fof(f2904,plain,
! [X0] :
( sK40(X0) = hd(cons(sK40(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f956,f508]) ).
fof(f2903,plain,
! [X0] :
( sK39(X0) = hd(cons(sK39(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f956,f507]) ).
fof(f2902,plain,
! [X0] :
( sK35(X0) = hd(cons(sK35(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f956,f497]) ).
fof(f2901,plain,
! [X0] :
( sK34(X0) = hd(cons(sK34(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f956,f496]) ).
fof(f2900,plain,
! [X0] :
( sK31(X0) = hd(cons(sK31(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f956,f487]) ).
fof(f2899,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f956,f486]) ).
fof(f2897,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f480]) ).
fof(f2896,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f476]) ).
fof(f2893,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f471]) ).
fof(f2890,plain,
! [X0,X1] :
( sK19(X0,X1) = hd(cons(sK19(X0,X1),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f956,f383]) ).
fof(f2887,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f473]) ).
fof(f2838,plain,
( nil = tl(cons(sK24(sK24(sK19(sK21,sK20))),nil))
| ~ spl72_3 ),
inference(resolution,[],[f2795,f789]) ).
fof(f2885,plain,
! [X0] :
( nil = tl(cons(sK24(sK60(X0)),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2815,f676]) ).
fof(f2815,plain,
! [X0] :
( sP17(X0)
| nil = tl(cons(sK24(sK60(X0)),nil)) ),
inference(resolution,[],[f2716,f555]) ).
fof(f2884,plain,
! [X0] :
( nil = tl(cons(sK24(sK59(X0)),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2814,f676]) ).
fof(f2814,plain,
! [X0] :
( sP17(X0)
| nil = tl(cons(sK24(sK59(X0)),nil)) ),
inference(resolution,[],[f2716,f554]) ).
fof(f2883,plain,
! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK50(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f2882,f532]) ).
fof(f2882,plain,
! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK50(X1))
| ~ ssItem(sK50(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f2878,f531]) ).
fof(f2878,plain,
! [X0,X1] :
( leq(X0,sK49(X1))
| ~ leq(X0,sK50(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(sK50(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(resolution,[],[f434,f538]) ).
fof(f2881,plain,
! [X0,X1] :
( leq(X0,sK50(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f2880,f531]) ).
fof(f2880,plain,
! [X0,X1] :
( leq(X0,sK50(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(subsumption_resolution,[],[f2877,f532]) ).
fof(f2877,plain,
! [X0,X1] :
( leq(X0,sK50(X1))
| ~ leq(X0,sK49(X1))
| ~ ssItem(sK50(X1))
| ~ ssItem(sK49(X1))
| ~ ssItem(X0)
| sP13(X1) ),
inference(resolution,[],[f434,f537]) ).
fof(f2876,plain,
! [X2,X0,X1] :
( leq(X0,hd(X1))
| ~ leq(X0,X2)
| ~ ssItem(hd(X1))
| ~ ssItem(X2)
| ~ ssItem(X0)
| nil = X1
| ~ sP1(X1,X2) ),
inference(resolution,[],[f434,f447]) ).
fof(f434,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(f2874,plain,
! [X0] :
( nil = tl(cons(sK24(sK55(X0)),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2813,f674]) ).
fof(f2813,plain,
! [X0] :
( sP15(X0)
| nil = tl(cons(sK24(sK55(X0)),nil)) ),
inference(resolution,[],[f2716,f544]) ).
fof(f2873,plain,
! [X0] :
( nil = tl(cons(sK24(sK54(X0)),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2812,f674]) ).
fof(f2812,plain,
! [X0] :
( sP15(X0)
| nil = tl(cons(sK24(sK54(X0)),nil)) ),
inference(resolution,[],[f2716,f543]) ).
fof(f2811,plain,
! [X0] :
( sP13(X0)
| nil = tl(cons(sK24(sK50(X0)),nil)) ),
inference(resolution,[],[f2716,f532]) ).
fof(f2810,plain,
! [X0] :
( sP13(X0)
| nil = tl(cons(sK24(sK49(X0)),nil)) ),
inference(resolution,[],[f2716,f531]) ).
fof(f2809,plain,
! [X0] :
( sP11(X0)
| nil = tl(cons(sK24(sK45(X0)),nil)) ),
inference(resolution,[],[f2716,f520]) ).
fof(f2808,plain,
! [X0] :
( sP11(X0)
| nil = tl(cons(sK24(sK44(X0)),nil)) ),
inference(resolution,[],[f2716,f519]) ).
fof(f2807,plain,
! [X0] :
( sP9(X0)
| nil = tl(cons(sK24(sK40(X0)),nil)) ),
inference(resolution,[],[f2716,f508]) ).
fof(f2806,plain,
! [X0] :
( sP9(X0)
| nil = tl(cons(sK24(sK39(X0)),nil)) ),
inference(resolution,[],[f2716,f507]) ).
fof(f2805,plain,
! [X0] :
( sP7(X0)
| nil = tl(cons(sK24(sK35(X0)),nil)) ),
inference(resolution,[],[f2716,f497]) ).
fof(f2804,plain,
! [X0] :
( sP7(X0)
| nil = tl(cons(sK24(sK34(X0)),nil)) ),
inference(resolution,[],[f2716,f496]) ).
fof(f2803,plain,
! [X0] :
( sP5(X0)
| nil = tl(cons(sK24(sK31(X0)),nil)) ),
inference(resolution,[],[f2716,f487]) ).
fof(f2871,plain,
! [X2,X0,X1] :
( geq(X0,X1)
| ~ geq(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ leq(X1,X2) ),
inference(duplicate_literal_removal,[],[f2870]) ).
fof(f2870,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,[],[f433,f428]) ).
fof(f433,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(f2802,plain,
! [X0] :
( sP5(X0)
| nil = tl(cons(sK24(sK30(X0)),nil)) ),
inference(resolution,[],[f2716,f486]) ).
fof(f2861,plain,
nil = tl(cons(sK24(sK24(sK71)),nil)),
inference(resolution,[],[f2795,f613]) ).
fof(f2860,plain,
nil = tl(cons(sK24(sK24(sK70)),nil)),
inference(resolution,[],[f2795,f612]) ).
fof(f2859,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK60(X0))),nil))
| sP17(X0) ),
inference(resolution,[],[f2795,f555]) ).
fof(f2858,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK59(X0))),nil))
| sP17(X0) ),
inference(resolution,[],[f2795,f554]) ).
fof(f2857,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK55(X0))),nil))
| sP15(X0) ),
inference(resolution,[],[f2795,f544]) ).
fof(f2856,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK54(X0))),nil))
| sP15(X0) ),
inference(resolution,[],[f2795,f543]) ).
fof(f2855,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK50(X0))),nil))
| sP13(X0) ),
inference(resolution,[],[f2795,f532]) ).
fof(f2854,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK49(X0))),nil))
| sP13(X0) ),
inference(resolution,[],[f2795,f531]) ).
fof(f2853,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK45(X0))),nil))
| sP11(X0) ),
inference(resolution,[],[f2795,f520]) ).
fof(f2852,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK44(X0))),nil))
| sP11(X0) ),
inference(resolution,[],[f2795,f519]) ).
fof(f2851,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK40(X0))),nil))
| sP9(X0) ),
inference(resolution,[],[f2795,f508]) ).
fof(f2850,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK39(X0))),nil))
| sP9(X0) ),
inference(resolution,[],[f2795,f507]) ).
fof(f2849,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK35(X0))),nil))
| sP7(X0) ),
inference(resolution,[],[f2795,f497]) ).
fof(f2848,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK34(X0))),nil))
| sP7(X0) ),
inference(resolution,[],[f2795,f496]) ).
fof(f2847,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK31(X0))),nil))
| sP5(X0) ),
inference(resolution,[],[f2795,f487]) ).
fof(f2846,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK30(X0))),nil))
| sP5(X0) ),
inference(resolution,[],[f2795,f486]) ).
fof(f2844,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK29(X0))),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2795,f480]) ).
fof(f2843,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK27(X0))),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2795,f476]) ).
fof(f2840,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK26(X0))),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2795,f471]) ).
fof(f2839,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(sK24(X0))),nil))
| ~ ssItem(X0) ),
inference(resolution,[],[f2795,f393]) ).
fof(f2837,plain,
! [X0,X1] :
( nil = tl(cons(sK24(sK24(sK19(X0,X1))),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f2795,f383]) ).
fof(f2834,plain,
! [X0] :
( nil = tl(cons(sK24(sK24(hd(X0))),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2795,f473]) ).
fof(f2795,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(sK24(sK24(X0)),nil)) ),
inference(resolution,[],[f2716,f393]) ).
fof(f2827,plain,
! [X2,X0,X1] :
( gt(X0,X1)
| ~ gt(X0,X2)
| ~ ssItem(X1)
| ~ ssItem(X2)
| ~ ssItem(X0)
| ~ lt(X1,X2) ),
inference(duplicate_literal_removal,[],[f2826]) ).
fof(f2826,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,[],[f432,f426]) ).
fof(f432,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(f2794,plain,
( nil = tl(cons(sK24(sK19(sK21,sK20)),nil))
| ~ spl72_3 ),
inference(resolution,[],[f2716,f789]) ).
fof(f2817,plain,
nil = tl(cons(sK24(sK71),nil)),
inference(resolution,[],[f2716,f613]) ).
fof(f2816,plain,
nil = tl(cons(sK24(sK70),nil)),
inference(resolution,[],[f2716,f612]) ).
fof(f2800,plain,
! [X0] :
( nil = tl(cons(sK24(sK29(X0)),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f2716,f480]) ).
fof(f2799,plain,
! [X0] :
( nil = tl(cons(sK24(sK27(X0)),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2716,f476]) ).
fof(f2796,plain,
! [X0] :
( nil = tl(cons(sK24(sK26(X0)),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2716,f471]) ).
fof(f2793,plain,
! [X0,X1] :
( nil = tl(cons(sK24(sK19(X0,X1)),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f2716,f383]) ).
fof(f2790,plain,
! [X0] :
( nil = tl(cons(sK24(hd(X0)),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f2716,f473]) ).
fof(f2716,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(sK24(X0),nil)) ),
inference(resolution,[],[f924,f393]) ).
fof(f2789,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK21 = X0
| ~ frontsegP(X0,sK21) ),
inference(subsumption_resolution,[],[f2786,f388]) ).
fof(f2786,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK21 = X0
| ~ frontsegP(X0,sK21)
| ~ ssList(sK21) ),
inference(duplicate_literal_removal,[],[f2785]) ).
fof(f2785,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK21 = X0
| ~ frontsegP(X0,sK21)
| ~ ssList(sK21)
| ~ ssList(X0) ),
inference(resolution,[],[f2771,f584]) ).
fof(f2788,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK21 = app(X0,sK69(sK21,X0)) ),
inference(subsumption_resolution,[],[f2787,f388]) ).
fof(f2787,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK21 = app(X0,sK69(sK21,X0))
| ~ ssList(sK21) ),
inference(duplicate_literal_removal,[],[f2784]) ).
fof(f2784,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK21 = app(X0,sK69(sK21,X0))
| ~ ssList(X0)
| ~ ssList(sK21) ),
inference(resolution,[],[f2771,f595]) ).
fof(f2771,plain,
! [X0] :
( frontsegP(sK21,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2770,f406]) ).
fof(f2770,plain,
! [X0] :
( frontsegP(sK21,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2756,f388]) ).
fof(f2756,plain,
! [X0] :
( frontsegP(sK21,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK21)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f605,f710]) ).
fof(f2783,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ frontsegP(X0,sK20) ),
inference(subsumption_resolution,[],[f2780,f387]) ).
fof(f2780,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ frontsegP(X0,sK20)
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2779]) ).
fof(f2779,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ frontsegP(X0,sK20)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f2769,f584]) ).
fof(f2782,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(X0,sK69(sK20,X0)) ),
inference(subsumption_resolution,[],[f2781,f387]) ).
fof(f2781,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(X0,sK69(sK20,X0))
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2778]) ).
fof(f2778,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(X0,sK69(sK20,X0))
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(resolution,[],[f2769,f595]) ).
fof(f2769,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2768,f406]) ).
fof(f2768,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2755,f387]) ).
fof(f2755,plain,
! [X0] :
( frontsegP(sK20,X0)
| ~ frontsegP(nil,X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f605,f709]) ).
fof(f2765,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ frontsegP(sK66(nil,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f2753,f406]) ).
fof(f2753,plain,
! [X0] :
( frontsegP(nil,X0)
| ~ frontsegP(sK66(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f605,f2536]) ).
fof(f2764,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,[],[f2761,f578]) ).
fof(f2761,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,[],[f2746]) ).
fof(f2746,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,[],[f605,f584]) ).
fof(f2763,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,[],[f2762,f578]) ).
fof(f2762,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,[],[f2745]) ).
fof(f2745,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,[],[f605,f595]) ).
fof(f605,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(f2736,plain,
! [X0] :
( nil = tl(cons(sK60(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f924,f555]) ).
fof(f2735,plain,
! [X0] :
( nil = tl(cons(sK59(X0),nil))
| sP17(X0) ),
inference(resolution,[],[f924,f554]) ).
fof(f2734,plain,
! [X0] :
( nil = tl(cons(sK55(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f924,f544]) ).
fof(f2733,plain,
! [X0] :
( nil = tl(cons(sK54(X0),nil))
| sP15(X0) ),
inference(resolution,[],[f924,f543]) ).
fof(f2732,plain,
! [X0] :
( nil = tl(cons(sK50(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f924,f532]) ).
fof(f2731,plain,
! [X0] :
( nil = tl(cons(sK49(X0),nil))
| sP13(X0) ),
inference(resolution,[],[f924,f531]) ).
fof(f2730,plain,
! [X0] :
( nil = tl(cons(sK45(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f924,f520]) ).
fof(f2729,plain,
! [X0] :
( nil = tl(cons(sK44(X0),nil))
| sP11(X0) ),
inference(resolution,[],[f924,f519]) ).
fof(f2728,plain,
! [X0] :
( nil = tl(cons(sK40(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f924,f508]) ).
fof(f2727,plain,
! [X0] :
( nil = tl(cons(sK39(X0),nil))
| sP9(X0) ),
inference(resolution,[],[f924,f507]) ).
fof(f2726,plain,
! [X0] :
( nil = tl(cons(sK35(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f924,f497]) ).
fof(f2725,plain,
! [X0] :
( nil = tl(cons(sK34(X0),nil))
| sP7(X0) ),
inference(resolution,[],[f924,f496]) ).
fof(f2724,plain,
! [X0] :
( nil = tl(cons(sK31(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f924,f487]) ).
fof(f2723,plain,
! [X0] :
( nil = tl(cons(sK30(X0),nil))
| sP5(X0) ),
inference(resolution,[],[f924,f486]) ).
fof(f2721,plain,
! [X0] :
( nil = tl(cons(sK29(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f924,f480]) ).
fof(f2720,plain,
! [X0] :
( nil = tl(cons(sK27(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f924,f476]) ).
fof(f2717,plain,
! [X0] :
( nil = tl(cons(sK26(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f924,f471]) ).
fof(f2714,plain,
! [X0,X1] :
( nil = tl(cons(sK19(X0,X1),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f924,f383]) ).
fof(f2711,plain,
! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f924,f473]) ).
fof(f924,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f571,f406]) ).
fof(f2671,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK21 = X0
| ~ rearsegP(X0,sK21) ),
inference(subsumption_resolution,[],[f2668,f388]) ).
fof(f2668,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK21 = X0
| ~ rearsegP(X0,sK21)
| ~ ssList(sK21) ),
inference(duplicate_literal_removal,[],[f2667]) ).
fof(f2667,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK21 = X0
| ~ rearsegP(X0,sK21)
| ~ ssList(sK21)
| ~ ssList(X0) ),
inference(resolution,[],[f2652,f582]) ).
fof(f2670,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK21 = app(sK66(sK21,X0),X0) ),
inference(subsumption_resolution,[],[f2669,f388]) ).
fof(f2669,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK21 = app(sK66(sK21,X0),X0)
| ~ ssList(sK21) ),
inference(duplicate_literal_removal,[],[f2666]) ).
fof(f2666,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK21 = app(sK66(sK21,X0),X0)
| ~ ssList(X0)
| ~ ssList(sK21) ),
inference(resolution,[],[f2652,f588]) ).
fof(f2652,plain,
! [X0] :
( rearsegP(sK21,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2651,f406]) ).
fof(f2651,plain,
! [X0] :
( rearsegP(sK21,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2632,f388]) ).
fof(f2632,plain,
! [X0] :
( rearsegP(sK21,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK21)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f604,f683]) ).
fof(f2665,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ rearsegP(X0,sK20) ),
inference(subsumption_resolution,[],[f2662,f387]) ).
fof(f2662,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ rearsegP(X0,sK20)
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2661]) ).
fof(f2661,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = X0
| ~ rearsegP(X0,sK20)
| ~ ssList(sK20)
| ~ ssList(X0) ),
inference(resolution,[],[f2650,f582]) ).
fof(f2664,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(sK66(sK20,X0),X0) ),
inference(subsumption_resolution,[],[f2663,f387]) ).
fof(f2663,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(sK66(sK20,X0),X0)
| ~ ssList(sK20) ),
inference(duplicate_literal_removal,[],[f2660]) ).
fof(f2660,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| ~ ssList(X0)
| sK20 = app(sK66(sK20,X0),X0)
| ~ ssList(X0)
| ~ ssList(sK20) ),
inference(resolution,[],[f2650,f588]) ).
fof(f2650,plain,
! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2649,f406]) ).
fof(f2649,plain,
! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(subsumption_resolution,[],[f2631,f387]) ).
fof(f2631,plain,
! [X0] :
( rearsegP(sK20,X0)
| ~ rearsegP(nil,X0)
| ~ ssList(sK20)
| ~ ssList(X0)
| ~ ssList(nil) ),
inference(superposition,[],[f604,f682]) ).
fof(f2659,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ rearsegP(sK69(nil,nil),X0)
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f2641,f406]) ).
fof(f2641,plain,
! [X0] :
( rearsegP(nil,X0)
| ~ rearsegP(sK69(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f604,f2602]) ).
fof(f2646,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,[],[f2643,f578]) ).
fof(f2643,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,[],[f2628]) ).
fof(f2628,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,[],[f604,f582]) ).
fof(f2645,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,[],[f2644,f578]) ).
fof(f2644,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,[],[f2627]) ).
fof(f2627,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,[],[f604,f588]) ).
fof(f604,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(f2190,plain,
( sK21 = tl(cons(sK24(sK24(sK19(sK21,sK20))),sK21))
| ~ spl72_3 ),
inference(resolution,[],[f1328,f789]) ).
fof(f2137,plain,
( sK20 = tl(cons(sK24(sK24(sK19(sK21,sK20))),sK20))
| ~ spl72_3 ),
inference(resolution,[],[f1291,f789]) ).
fof(f2616,plain,
( rearsegP(nil,sK69(nil,nil))
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f2610,f406]) ).
fof(f2610,plain,
( rearsegP(nil,sK69(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK69(nil,nil)) ),
inference(superposition,[],[f2132,f2602]) ).
fof(f2615,plain,
( nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil)) ),
inference(subsumption_resolution,[],[f2612,f406]) ).
fof(f2612,plain,
( nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil) ),
inference(trivial_inequality_removal,[],[f2608]) ).
fof(f2608,plain,
( nil != nil
| nil = sK69(nil,nil)
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil) ),
inference(superposition,[],[f597,f2602]) ).
fof(f2614,plain,
! [X0] :
( ~ memberP(sK69(nil,nil),X0)
| ~ ssList(sK69(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2613,f407]) ).
fof(f2613,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK69(nil,nil),X0)
| ~ ssList(sK69(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2606,f406]) ).
fof(f2606,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK69(nil,nil),X0)
| ~ ssList(sK69(nil,nil))
| ~ ssList(nil)
| ~ ssItem(X0) ),
inference(superposition,[],[f461,f2602]) ).
fof(f2602,plain,
nil = app(nil,sK69(nil,nil)),
inference(subsumption_resolution,[],[f2601,f406]) ).
fof(f2601,plain,
( nil = app(nil,sK69(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2594]) ).
fof(f2594,plain,
( nil = app(nil,sK69(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f595,f649]) ).
fof(f2604,plain,
! [X0,X1] :
( app(X0,X1) = app(X0,sK69(app(X0,X1),X0))
| ~ ssList(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f2598,f578]) ).
fof(f2598,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,[],[f2597]) ).
fof(f2597,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,[],[f595,f2185]) ).
fof(f2603,plain,
! [X0] :
( app(nil,sK69(X0,nil)) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2599,f406]) ).
fof(f2599,plain,
! [X0] :
( app(nil,sK69(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2596]) ).
fof(f2596,plain,
! [X0] :
( app(nil,sK69(X0,nil)) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f595,f465]) ).
fof(f2600,plain,
! [X0] :
( app(X0,sK69(X0,X0)) = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2595]) ).
fof(f2595,plain,
! [X0] :
( app(X0,sK69(X0,X0)) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f595,f464]) ).
fof(f595,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK69(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f377,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])],[f375,f376]) ).
fof(f376,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK69(X0,X1)) = X0
& ssList(sK69(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f375,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,[],[f374]) ).
fof(f374,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(f2593,plain,
( frontsegP(nil,sK66(nil,nil))
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f2588,f406]) ).
fof(f2588,plain,
( frontsegP(nil,sK66(nil,nil))
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f2185,f2536]) ).
fof(f2592,plain,
( nil = sK66(nil,nil)
| ~ ssList(sK66(nil,nil)) ),
inference(subsumption_resolution,[],[f2589,f406]) ).
fof(f2589,plain,
( nil = sK66(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(trivial_inequality_removal,[],[f2586]) ).
fof(f2586,plain,
( nil != nil
| nil = sK66(nil,nil)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil)) ),
inference(superposition,[],[f598,f2536]) ).
fof(f2591,plain,
! [X0] :
( ~ memberP(sK66(nil,nil),X0)
| ~ ssList(sK66(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2590,f407]) ).
fof(f2590,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK66(nil,nil),X0)
| ~ ssList(sK66(nil,nil))
| ~ ssItem(X0) ),
inference(subsumption_resolution,[],[f2582,f406]) ).
fof(f2582,plain,
! [X0] :
( memberP(nil,X0)
| ~ memberP(sK66(nil,nil),X0)
| ~ ssList(nil)
| ~ ssList(sK66(nil,nil))
| ~ ssItem(X0) ),
inference(superposition,[],[f460,f2536]) ).
fof(f2536,plain,
nil = app(sK66(nil,nil),nil),
inference(subsumption_resolution,[],[f2535,f406]) ).
fof(f2535,plain,
( nil = app(sK66(nil,nil),nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2528]) ).
fof(f2528,plain,
( nil = app(sK66(nil,nil),nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f588,f648]) ).
fof(f2538,plain,
! [X0,X1] :
( app(X0,X1) = app(sK66(app(X0,X1),X1),X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2532,f578]) ).
fof(f2532,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,[],[f2531]) ).
fof(f2531,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,[],[f588,f2132]) ).
fof(f2533,plain,
! [X0] :
( app(sK66(X0,X0),X0) = X0
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2530]) ).
fof(f2530,plain,
! [X0] :
( app(sK66(X0,X0),X0) = X0
| ~ ssList(X0)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f588,f467]) ).
fof(f2537,plain,
! [X0] :
( app(sK66(X0,nil),nil) = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f2534,f406]) ).
fof(f2534,plain,
! [X0] :
( app(sK66(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0) ),
inference(duplicate_literal_removal,[],[f2529]) ).
fof(f2529,plain,
! [X0] :
( app(sK66(X0,nil),nil) = X0
| ~ ssList(nil)
| ~ ssList(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f588,f463]) ).
fof(f588,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK66(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,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])],[f366,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,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,[],[f365]) ).
fof(f365,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(f2486,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,[],[f579,f594]) ).
fof(f2485,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,[],[f579,f591]) ).
fof(f2484,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,[],[f579,f590]) ).
fof(f2483,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,[],[f579,f587]) ).
fof(f2482,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,[],[f579,f575]) ).
fof(f2481,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,[],[f579,f574]) ).
fof(f2480,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK63(X1)))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f579,f558]) ).
fof(f2479,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK62(X1)))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f579,f557]) ).
fof(f2478,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK61(X1)))
| ~ ssList(X0)
| sP17(X1) ),
inference(resolution,[],[f579,f556]) ).
fof(f2477,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK58(X1)))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f579,f547]) ).
fof(f2476,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK57(X1)))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f579,f546]) ).
fof(f2475,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK56(X1)))
| ~ ssList(X0)
| sP15(X1) ),
inference(resolution,[],[f579,f545]) ).
fof(f2474,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK53(X1)))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f579,f535]) ).
fof(f2473,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK52(X1)))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f579,f534]) ).
fof(f2472,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK51(X1)))
| ~ ssList(X0)
| sP13(X1) ),
inference(resolution,[],[f579,f533]) ).
fof(f2471,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK48(X1)))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f579,f523]) ).
fof(f2470,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK47(X1)))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f579,f522]) ).
fof(f2469,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK46(X1)))
| ~ ssList(X0)
| sP11(X1) ),
inference(resolution,[],[f579,f521]) ).
fof(f2468,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK43(X1)))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f579,f511]) ).
fof(f2467,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK42(X1)))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f579,f510]) ).
fof(f2466,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK41(X1)))
| ~ ssList(X0)
| sP9(X1) ),
inference(resolution,[],[f579,f509]) ).
fof(f2465,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK38(X1)))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f579,f500]) ).
fof(f2464,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK37(X1)))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f579,f499]) ).
fof(f2463,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK36(X1)))
| ~ ssList(X0)
| sP7(X1) ),
inference(resolution,[],[f579,f498]) ).
fof(f2462,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK33(X1)))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f579,f489]) ).
fof(f2461,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK32(X1)))
| ~ ssList(X0)
| sP5(X1) ),
inference(resolution,[],[f579,f488]) ).
fof(f2460,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK28(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f579,f478]) ).
fof(f2457,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,sK25(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f579,f470]) ).
fof(f2488,plain,
! [X0] :
( hd(X0) = hd(app(X0,sK21))
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2456,f391]) ).
fof(f2456,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK23))
| ~ ssList(X0) ),
inference(resolution,[],[f579,f390]) ).
fof(f2487,plain,
! [X0] :
( hd(X0) = hd(app(X0,sK20))
| nil = X0
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f2455,f392]) ).
fof(f2455,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f579,f389]) ).
fof(f2454,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK21))
| ~ ssList(X0) ),
inference(resolution,[],[f579,f388]) ).
fof(f2453,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,sK20))
| ~ ssList(X0) ),
inference(resolution,[],[f579,f387]) ).
fof(f2452,plain,
! [X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,tl(X1)))
| ~ ssList(X0)
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f579,f474]) ).
fof(f2451,plain,
! [X0] :
( nil = X0
| hd(X0) = hd(app(X0,nil))
| ~ ssList(X0) ),
inference(resolution,[],[f579,f406]) ).
fof(f2450,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,app(X1,X2)))
| ~ ssList(X0)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f579,f578]) ).
fof(f2449,plain,
! [X2,X0,X1] :
( nil = X0
| hd(X0) = hd(app(X0,cons(X1,X2)))
| ~ ssList(X0)
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f579,f568]) ).
fof(f579,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(f461,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f282,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,[],[f281]) ).
fof(f281,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(f460,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f439,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f2237,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK60(X0)),sK21))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1346,f676]) ).
fof(f1346,plain,
! [X0] :
( sP17(X0)
| sK21 = tl(cons(sK24(sK60(X0)),sK21)) ),
inference(resolution,[],[f1014,f555]) ).
fof(f2236,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK59(X0)),sK21))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1345,f676]) ).
fof(f1345,plain,
! [X0] :
( sP17(X0)
| sK21 = tl(cons(sK24(sK59(X0)),sK21)) ),
inference(resolution,[],[f1014,f554]) ).
fof(f2235,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK55(X0)),sK21))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1344,f674]) ).
fof(f1344,plain,
! [X0] :
( sP15(X0)
| sK21 = tl(cons(sK24(sK55(X0)),sK21)) ),
inference(resolution,[],[f1014,f544]) ).
fof(f2234,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK54(X0)),sK21))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1343,f674]) ).
fof(f1343,plain,
! [X0] :
( sP15(X0)
| sK21 = tl(cons(sK24(sK54(X0)),sK21)) ),
inference(resolution,[],[f1014,f543]) ).
fof(f1342,plain,
! [X0] :
( sP13(X0)
| sK21 = tl(cons(sK24(sK50(X0)),sK21)) ),
inference(resolution,[],[f1014,f532]) ).
fof(f1341,plain,
! [X0] :
( sP13(X0)
| sK21 = tl(cons(sK24(sK49(X0)),sK21)) ),
inference(resolution,[],[f1014,f531]) ).
fof(f1340,plain,
! [X0] :
( sP11(X0)
| sK21 = tl(cons(sK24(sK45(X0)),sK21)) ),
inference(resolution,[],[f1014,f520]) ).
fof(f1339,plain,
! [X0] :
( sP11(X0)
| sK21 = tl(cons(sK24(sK44(X0)),sK21)) ),
inference(resolution,[],[f1014,f519]) ).
fof(f1338,plain,
! [X0] :
( sP9(X0)
| sK21 = tl(cons(sK24(sK40(X0)),sK21)) ),
inference(resolution,[],[f1014,f508]) ).
fof(f1337,plain,
! [X0] :
( sP9(X0)
| sK21 = tl(cons(sK24(sK39(X0)),sK21)) ),
inference(resolution,[],[f1014,f507]) ).
fof(f1336,plain,
! [X0] :
( sP7(X0)
| sK21 = tl(cons(sK24(sK35(X0)),sK21)) ),
inference(resolution,[],[f1014,f497]) ).
fof(f2233,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0)) ),
inference(subsumption_resolution,[],[f2232,f578]) ).
fof(f2232,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0)) ),
inference(duplicate_literal_removal,[],[f2221]) ).
fof(f2221,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = X1
| ~ frontsegP(X1,app(X1,X0))
| ~ ssList(app(X1,X0))
| ~ ssList(X1) ),
inference(resolution,[],[f2185,f584]) ).
fof(f2185,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f639,f578]) ).
fof(f1335,plain,
! [X0] :
( sP7(X0)
| sK21 = tl(cons(sK24(sK34(X0)),sK21)) ),
inference(resolution,[],[f1014,f496]) ).
fof(f1334,plain,
! [X0] :
( sP5(X0)
| sK21 = tl(cons(sK24(sK31(X0)),sK21)) ),
inference(resolution,[],[f1014,f487]) ).
fof(f1333,plain,
! [X0] :
( sP5(X0)
| sK21 = tl(cons(sK24(sK30(X0)),sK21)) ),
inference(resolution,[],[f1014,f486]) ).
fof(f2213,plain,
sK21 = tl(cons(sK24(sK24(sK71)),sK21)),
inference(resolution,[],[f1328,f613]) ).
fof(f2212,plain,
sK21 = tl(cons(sK24(sK24(sK70)),sK21)),
inference(resolution,[],[f1328,f612]) ).
fof(f2211,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK60(X0))),sK21))
| sP17(X0) ),
inference(resolution,[],[f1328,f555]) ).
fof(f2210,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK59(X0))),sK21))
| sP17(X0) ),
inference(resolution,[],[f1328,f554]) ).
fof(f2209,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK55(X0))),sK21))
| sP15(X0) ),
inference(resolution,[],[f1328,f544]) ).
fof(f2208,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK54(X0))),sK21))
| sP15(X0) ),
inference(resolution,[],[f1328,f543]) ).
fof(f2207,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK50(X0))),sK21))
| sP13(X0) ),
inference(resolution,[],[f1328,f532]) ).
fof(f2206,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK49(X0))),sK21))
| sP13(X0) ),
inference(resolution,[],[f1328,f531]) ).
fof(f2205,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK45(X0))),sK21))
| sP11(X0) ),
inference(resolution,[],[f1328,f520]) ).
fof(f2204,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK44(X0))),sK21))
| sP11(X0) ),
inference(resolution,[],[f1328,f519]) ).
fof(f2203,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK40(X0))),sK21))
| sP9(X0) ),
inference(resolution,[],[f1328,f508]) ).
fof(f2202,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK39(X0))),sK21))
| sP9(X0) ),
inference(resolution,[],[f1328,f507]) ).
fof(f2201,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK35(X0))),sK21))
| sP7(X0) ),
inference(resolution,[],[f1328,f497]) ).
fof(f2200,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK34(X0))),sK21))
| sP7(X0) ),
inference(resolution,[],[f1328,f496]) ).
fof(f2199,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK31(X0))),sK21))
| sP5(X0) ),
inference(resolution,[],[f1328,f487]) ).
fof(f2198,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK30(X0))),sK21))
| sP5(X0) ),
inference(resolution,[],[f1328,f486]) ).
fof(f2196,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK29(X0))),sK21))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1328,f480]) ).
fof(f2195,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK27(X0))),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1328,f476]) ).
fof(f2192,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK26(X0))),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1328,f471]) ).
fof(f2191,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(sK24(X0))),sK21))
| ~ ssItem(X0) ),
inference(resolution,[],[f1328,f393]) ).
fof(f2189,plain,
! [X0,X1] :
( sK21 = tl(cons(sK24(sK24(sK19(X0,X1))),sK21))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1328,f383]) ).
fof(f2186,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK24(hd(X0))),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1328,f473]) ).
fof(f1328,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(sK24(sK24(X0)),sK21)) ),
inference(resolution,[],[f1014,f393]) ).
fof(f2184,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK60(X0)),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1309,f676]) ).
fof(f1309,plain,
! [X0] :
( sP17(X0)
| sK20 = tl(cons(sK24(sK60(X0)),sK20)) ),
inference(resolution,[],[f989,f555]) ).
fof(f2183,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK59(X0)),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1308,f676]) ).
fof(f1308,plain,
! [X0] :
( sP17(X0)
| sK20 = tl(cons(sK24(sK59(X0)),sK20)) ),
inference(resolution,[],[f989,f554]) ).
fof(f2182,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK55(X0)),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1307,f674]) ).
fof(f1307,plain,
! [X0] :
( sP15(X0)
| sK20 = tl(cons(sK24(sK55(X0)),sK20)) ),
inference(resolution,[],[f989,f544]) ).
fof(f2181,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK54(X0)),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1306,f674]) ).
fof(f1306,plain,
! [X0] :
( sP15(X0)
| sK20 = tl(cons(sK24(sK54(X0)),sK20)) ),
inference(resolution,[],[f989,f543]) ).
fof(f1305,plain,
! [X0] :
( sP13(X0)
| sK20 = tl(cons(sK24(sK50(X0)),sK20)) ),
inference(resolution,[],[f989,f532]) ).
fof(f1304,plain,
! [X0] :
( sP13(X0)
| sK20 = tl(cons(sK24(sK49(X0)),sK20)) ),
inference(resolution,[],[f989,f531]) ).
fof(f1303,plain,
! [X0] :
( sP11(X0)
| sK20 = tl(cons(sK24(sK45(X0)),sK20)) ),
inference(resolution,[],[f989,f520]) ).
fof(f1302,plain,
! [X0] :
( sP11(X0)
| sK20 = tl(cons(sK24(sK44(X0)),sK20)) ),
inference(resolution,[],[f989,f519]) ).
fof(f1301,plain,
! [X0] :
( sP9(X0)
| sK20 = tl(cons(sK24(sK40(X0)),sK20)) ),
inference(resolution,[],[f989,f508]) ).
fof(f1300,plain,
! [X0] :
( sP9(X0)
| sK20 = tl(cons(sK24(sK39(X0)),sK20)) ),
inference(resolution,[],[f989,f507]) ).
fof(f1299,plain,
! [X0] :
( sP7(X0)
| sK20 = tl(cons(sK24(sK35(X0)),sK20)) ),
inference(resolution,[],[f989,f497]) ).
fof(f2180,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1)) ),
inference(subsumption_resolution,[],[f2179,f578]) ).
fof(f2179,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1)) ),
inference(duplicate_literal_removal,[],[f2168]) ).
fof(f2168,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X0,X1) = X1
| ~ rearsegP(X1,app(X0,X1))
| ~ ssList(app(X0,X1))
| ~ ssList(X1) ),
inference(resolution,[],[f2132,f582]) ).
fof(f2132,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f637,f578]) ).
fof(f1298,plain,
! [X0] :
( sP7(X0)
| sK20 = tl(cons(sK24(sK34(X0)),sK20)) ),
inference(resolution,[],[f989,f496]) ).
fof(f1297,plain,
! [X0] :
( sP5(X0)
| sK20 = tl(cons(sK24(sK31(X0)),sK20)) ),
inference(resolution,[],[f989,f487]) ).
fof(f1296,plain,
! [X0] :
( sP5(X0)
| sK20 = tl(cons(sK24(sK30(X0)),sK20)) ),
inference(resolution,[],[f989,f486]) ).
fof(f2160,plain,
sK20 = tl(cons(sK24(sK24(sK71)),sK20)),
inference(resolution,[],[f1291,f613]) ).
fof(f2159,plain,
sK20 = tl(cons(sK24(sK24(sK70)),sK20)),
inference(resolution,[],[f1291,f612]) ).
fof(f2158,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK60(X0))),sK20))
| sP17(X0) ),
inference(resolution,[],[f1291,f555]) ).
fof(f2157,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK59(X0))),sK20))
| sP17(X0) ),
inference(resolution,[],[f1291,f554]) ).
fof(f2156,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK55(X0))),sK20))
| sP15(X0) ),
inference(resolution,[],[f1291,f544]) ).
fof(f2155,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK54(X0))),sK20))
| sP15(X0) ),
inference(resolution,[],[f1291,f543]) ).
fof(f2154,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK50(X0))),sK20))
| sP13(X0) ),
inference(resolution,[],[f1291,f532]) ).
fof(f2153,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK49(X0))),sK20))
| sP13(X0) ),
inference(resolution,[],[f1291,f531]) ).
fof(f2152,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK45(X0))),sK20))
| sP11(X0) ),
inference(resolution,[],[f1291,f520]) ).
fof(f2151,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK44(X0))),sK20))
| sP11(X0) ),
inference(resolution,[],[f1291,f519]) ).
fof(f2150,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK40(X0))),sK20))
| sP9(X0) ),
inference(resolution,[],[f1291,f508]) ).
fof(f2149,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK39(X0))),sK20))
| sP9(X0) ),
inference(resolution,[],[f1291,f507]) ).
fof(f2148,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK35(X0))),sK20))
| sP7(X0) ),
inference(resolution,[],[f1291,f497]) ).
fof(f2147,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK34(X0))),sK20))
| sP7(X0) ),
inference(resolution,[],[f1291,f496]) ).
fof(f2146,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK31(X0))),sK20))
| sP5(X0) ),
inference(resolution,[],[f1291,f487]) ).
fof(f2145,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK30(X0))),sK20))
| sP5(X0) ),
inference(resolution,[],[f1291,f486]) ).
fof(f2143,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK29(X0))),sK20))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1291,f480]) ).
fof(f2142,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK27(X0))),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1291,f476]) ).
fof(f2139,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK26(X0))),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1291,f471]) ).
fof(f2138,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(sK24(X0))),sK20))
| ~ ssItem(X0) ),
inference(resolution,[],[f1291,f393]) ).
fof(f2136,plain,
! [X0,X1] :
( sK20 = tl(cons(sK24(sK24(sK19(X0,X1))),sK20))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1291,f383]) ).
fof(f2133,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK24(hd(X0))),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1291,f473]) ).
fof(f1291,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(sK24(sK24(X0)),sK20)) ),
inference(resolution,[],[f989,f393]) ).
fof(f2130,plain,
( ! [X0] :
( leq(X0,sK19(sK21,sK20))
| nil = cons(sK19(sK21,sK20),sK21)
| ~ sP1(cons(sK19(sK21,sK20),sK21),X0) )
| ~ spl72_3 ),
inference(superposition,[],[f447,f1240]) ).
fof(f2129,plain,
( ! [X0] :
( lt(X0,sK19(sK21,sK20))
| nil = cons(sK19(sK21,sK20),sK21)
| ~ sP3(cons(sK19(sK21,sK20),sK21),X0) )
| ~ spl72_3 ),
inference(superposition,[],[f455,f1240]) ).
fof(f2128,plain,
( ! [X0] :
( ~ leq(X0,sK19(sK21,sK20))
| sP1(cons(sK19(sK21,sK20),sK21),X0)
| ~ totalorderedP(cons(sK19(sK21,sK20),sK21))
| nil = cons(sK19(sK21,sK20),sK21) )
| ~ spl72_3 ),
inference(superposition,[],[f449,f1240]) ).
fof(f2127,plain,
( ! [X0] :
( ~ lt(X0,sK19(sK21,sK20))
| sP3(cons(sK19(sK21,sK20),sK21),X0)
| ~ strictorderedP(cons(sK19(sK21,sK20),sK21))
| nil = cons(sK19(sK21,sK20),sK21) )
| ~ spl72_3 ),
inference(superposition,[],[f457,f1240]) ).
fof(f1240,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK21))
| ~ spl72_3 ),
inference(resolution,[],[f959,f789]) ).
fof(f2125,plain,
( ! [X0] :
( leq(X0,sK19(sK21,sK20))
| nil = cons(sK19(sK21,sK20),sK20)
| ~ sP1(cons(sK19(sK21,sK20),sK20),X0) )
| ~ spl72_3 ),
inference(superposition,[],[f447,f1038]) ).
fof(f2124,plain,
( ! [X0] :
( lt(X0,sK19(sK21,sK20))
| nil = cons(sK19(sK21,sK20),sK20)
| ~ sP3(cons(sK19(sK21,sK20),sK20),X0) )
| ~ spl72_3 ),
inference(superposition,[],[f455,f1038]) ).
fof(f2123,plain,
( ! [X0] :
( ~ leq(X0,sK19(sK21,sK20))
| sP1(cons(sK19(sK21,sK20),sK20),X0)
| ~ totalorderedP(cons(sK19(sK21,sK20),sK20))
| nil = cons(sK19(sK21,sK20),sK20) )
| ~ spl72_3 ),
inference(superposition,[],[f449,f1038]) ).
fof(f2122,plain,
( ! [X0] :
( ~ lt(X0,sK19(sK21,sK20))
| sP3(cons(sK19(sK21,sK20),sK20),X0)
| ~ strictorderedP(cons(sK19(sK21,sK20),sK20))
| nil = cons(sK19(sK21,sK20),sK20) )
| ~ spl72_3 ),
inference(superposition,[],[f457,f1038]) ).
fof(f1038,plain,
( sK19(sK21,sK20) = hd(cons(sK19(sK21,sK20),sK20))
| ~ spl72_3 ),
inference(resolution,[],[f958,f789]) ).
fof(f584,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(f583,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(f1579,plain,
( sP1(tl(sK20),hd(sK20))
| ~ sP2(hd(sK20),tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1571,f804]) ).
fof(f1571,plain,
( ~ totalorderedP(sK20)
| sP1(tl(sK20),hd(sK20))
| ~ sP2(hd(sK20),tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f443,f1563]) ).
fof(f582,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(f1924,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,[],[f573,f594]) ).
fof(f1923,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,[],[f573,f591]) ).
fof(f1922,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,[],[f573,f590]) ).
fof(f1921,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,[],[f573,f587]) ).
fof(f1920,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,[],[f573,f575]) ).
fof(f1919,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,[],[f573,f574]) ).
fof(f1918,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK63(X1)) = app(cons(X0,nil),sK63(X1))
| sP17(X1) ),
inference(resolution,[],[f573,f558]) ).
fof(f1917,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK62(X1)) = app(cons(X0,nil),sK62(X1))
| sP17(X1) ),
inference(resolution,[],[f573,f557]) ).
fof(f1916,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK61(X1)) = app(cons(X0,nil),sK61(X1))
| sP17(X1) ),
inference(resolution,[],[f573,f556]) ).
fof(f1915,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK58(X1)) = app(cons(X0,nil),sK58(X1))
| sP15(X1) ),
inference(resolution,[],[f573,f547]) ).
fof(f1914,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK57(X1)) = app(cons(X0,nil),sK57(X1))
| sP15(X1) ),
inference(resolution,[],[f573,f546]) ).
fof(f1913,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK56(X1)) = app(cons(X0,nil),sK56(X1))
| sP15(X1) ),
inference(resolution,[],[f573,f545]) ).
fof(f1912,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK53(X1)) = app(cons(X0,nil),sK53(X1))
| sP13(X1) ),
inference(resolution,[],[f573,f535]) ).
fof(f1911,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK52(X1)) = app(cons(X0,nil),sK52(X1))
| sP13(X1) ),
inference(resolution,[],[f573,f534]) ).
fof(f1910,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK51(X1)) = app(cons(X0,nil),sK51(X1))
| sP13(X1) ),
inference(resolution,[],[f573,f533]) ).
fof(f1909,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK48(X1)) = app(cons(X0,nil),sK48(X1))
| sP11(X1) ),
inference(resolution,[],[f573,f523]) ).
fof(f1908,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK47(X1)) = app(cons(X0,nil),sK47(X1))
| sP11(X1) ),
inference(resolution,[],[f573,f522]) ).
fof(f1907,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK46(X1)) = app(cons(X0,nil),sK46(X1))
| sP11(X1) ),
inference(resolution,[],[f573,f521]) ).
fof(f1906,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK43(X1)) = app(cons(X0,nil),sK43(X1))
| sP9(X1) ),
inference(resolution,[],[f573,f511]) ).
fof(f1905,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK42(X1)) = app(cons(X0,nil),sK42(X1))
| sP9(X1) ),
inference(resolution,[],[f573,f510]) ).
fof(f1904,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK41(X1)) = app(cons(X0,nil),sK41(X1))
| sP9(X1) ),
inference(resolution,[],[f573,f509]) ).
fof(f1903,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK38(X1)) = app(cons(X0,nil),sK38(X1))
| sP7(X1) ),
inference(resolution,[],[f573,f500]) ).
fof(f1902,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK37(X1)) = app(cons(X0,nil),sK37(X1))
| sP7(X1) ),
inference(resolution,[],[f573,f499]) ).
fof(f1901,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK36(X1)) = app(cons(X0,nil),sK36(X1))
| sP7(X1) ),
inference(resolution,[],[f573,f498]) ).
fof(f1900,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK33(X1)) = app(cons(X0,nil),sK33(X1))
| sP5(X1) ),
inference(resolution,[],[f573,f489]) ).
fof(f1899,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK32(X1)) = app(cons(X0,nil),sK32(X1))
| sP5(X1) ),
inference(resolution,[],[f573,f488]) ).
fof(f1898,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK28(X1)) = app(cons(X0,nil),sK28(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f573,f478]) ).
fof(f1896,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,sK25(X1)) = app(cons(X0,nil),sK25(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f573,f470]) ).
fof(f1926,plain,
! [X0] :
( cons(X0,sK21) = app(cons(X0,nil),sK21)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1895,f391]) ).
fof(f1895,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK23) = app(cons(X0,nil),sK23) ),
inference(resolution,[],[f573,f390]) ).
fof(f1925,plain,
! [X0] :
( cons(X0,sK20) = app(cons(X0,nil),sK20)
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1894,f392]) ).
fof(f1894,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK22) = app(cons(X0,nil),sK22) ),
inference(resolution,[],[f573,f389]) ).
fof(f1893,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK21) = app(cons(X0,nil),sK21) ),
inference(resolution,[],[f573,f388]) ).
fof(f1891,plain,
! [X0,X1] :
( ~ ssItem(X0)
| cons(X0,tl(X1)) = app(cons(X0,nil),tl(X1))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f573,f474]) ).
fof(f1890,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,nil) = app(cons(X0,nil),nil) ),
inference(resolution,[],[f573,f406]) ).
fof(f1889,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,app(X1,X2)) = app(cons(X0,nil),app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f573,f578]) ).
fof(f1888,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X0,cons(X1,X2)) = app(cons(X0,nil),cons(X1,X2))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f573,f568]) ).
fof(f573,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(f1769,plain,
! [X0] :
( sP13(X0)
| sK49(X0) = sK50(X0) ),
inference(subsumption_resolution,[],[f1768,f532]) ).
fof(f1768,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK50(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1767,f531]) ).
fof(f1767,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK49(X0))
| ~ ssItem(sK50(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1764,f538]) ).
fof(f1764,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ leq(sK50(X0),sK49(X0))
| ~ ssItem(sK49(X0))
| ~ ssItem(sK50(X0))
| sP13(X0) ),
inference(resolution,[],[f422,f537]) ).
fof(f1772,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| sP13(X0) ),
inference(subsumption_resolution,[],[f1771,f531]) ).
fof(f1771,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK49(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1770,f532]) ).
fof(f1770,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ ssItem(sK50(X0))
| ~ ssItem(sK49(X0))
| sP13(X0) ),
inference(subsumption_resolution,[],[f1765,f537]) ).
fof(f1765,plain,
! [X0] :
( sK49(X0) = sK50(X0)
| ~ leq(sK49(X0),sK50(X0))
| ~ ssItem(sK50(X0))
| ~ ssItem(sK49(X0))
| sP13(X0) ),
inference(resolution,[],[f422,f538]) ).
fof(f1763,plain,
! [X0,X1] :
( hd(X0) = X1
| ~ leq(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0))
| nil = X0
| ~ sP1(X0,X1) ),
inference(resolution,[],[f422,f447]) ).
fof(f422,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(f1760,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK21))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1259,f676]) ).
fof(f1259,plain,
! [X0] :
( sP17(X0)
| sK60(X0) = hd(cons(sK60(X0),sK21)) ),
inference(resolution,[],[f959,f555]) ).
fof(f1759,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK21))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1258,f676]) ).
fof(f1258,plain,
! [X0] :
( sP17(X0)
| sK59(X0) = hd(cons(sK59(X0),sK21)) ),
inference(resolution,[],[f959,f554]) ).
fof(f1758,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK21))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1257,f674]) ).
fof(f1257,plain,
! [X0] :
( sP15(X0)
| sK55(X0) = hd(cons(sK55(X0),sK21)) ),
inference(resolution,[],[f959,f544]) ).
fof(f1757,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK21))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1256,f674]) ).
fof(f1256,plain,
! [X0] :
( sP15(X0)
| sK54(X0) = hd(cons(sK54(X0),sK21)) ),
inference(resolution,[],[f959,f543]) ).
fof(f1255,plain,
! [X0] :
( sP13(X0)
| sK50(X0) = hd(cons(sK50(X0),sK21)) ),
inference(resolution,[],[f959,f532]) ).
fof(f1254,plain,
! [X0] :
( sP13(X0)
| sK49(X0) = hd(cons(sK49(X0),sK21)) ),
inference(resolution,[],[f959,f531]) ).
fof(f1253,plain,
! [X0] :
( sP11(X0)
| sK45(X0) = hd(cons(sK45(X0),sK21)) ),
inference(resolution,[],[f959,f520]) ).
fof(f1252,plain,
! [X0] :
( sP11(X0)
| sK44(X0) = hd(cons(sK44(X0),sK21)) ),
inference(resolution,[],[f959,f519]) ).
fof(f1251,plain,
! [X0] :
( sP9(X0)
| sK40(X0) = hd(cons(sK40(X0),sK21)) ),
inference(resolution,[],[f959,f508]) ).
fof(f1250,plain,
! [X0] :
( sP9(X0)
| sK39(X0) = hd(cons(sK39(X0),sK21)) ),
inference(resolution,[],[f959,f507]) ).
fof(f1755,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1) ),
inference(duplicate_literal_removal,[],[f1754]) ).
fof(f1754,plain,
! [X0,X1] :
( X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ leq(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(resolution,[],[f421,f428]) ).
fof(f421,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(f1249,plain,
! [X0] :
( sP7(X0)
| sK35(X0) = hd(cons(sK35(X0),sK21)) ),
inference(resolution,[],[f959,f497]) ).
fof(f1248,plain,
! [X0] :
( sP7(X0)
| sK34(X0) = hd(cons(sK34(X0),sK21)) ),
inference(resolution,[],[f959,f496]) ).
fof(f1247,plain,
! [X0] :
( sP5(X0)
| sK31(X0) = hd(cons(sK31(X0),sK21)) ),
inference(resolution,[],[f959,f487]) ).
fof(f1246,plain,
! [X0] :
( sP5(X0)
| sK30(X0) = hd(cons(sK30(X0),sK21)) ),
inference(resolution,[],[f959,f486]) ).
fof(f1752,plain,
( ssItem(sK24(sK71))
| nil = cons(sK24(sK71),sK21)
| ~ ssList(cons(sK24(sK71),sK21)) ),
inference(superposition,[],[f473,f1742]) ).
fof(f1751,plain,
! [X0] :
( leq(X0,sK24(sK71))
| nil = cons(sK24(sK71),sK21)
| ~ sP1(cons(sK24(sK71),sK21),X0) ),
inference(superposition,[],[f447,f1742]) ).
fof(f1750,plain,
! [X0] :
( lt(X0,sK24(sK71))
| nil = cons(sK24(sK71),sK21)
| ~ sP3(cons(sK24(sK71),sK21),X0) ),
inference(superposition,[],[f455,f1742]) ).
fof(f1749,plain,
! [X0] :
( ~ leq(X0,sK24(sK71))
| sP1(cons(sK24(sK71),sK21),X0)
| ~ totalorderedP(cons(sK24(sK71),sK21))
| nil = cons(sK24(sK71),sK21) ),
inference(superposition,[],[f449,f1742]) ).
fof(f1748,plain,
! [X0] :
( ~ lt(X0,sK24(sK71))
| sP3(cons(sK24(sK71),sK21),X0)
| ~ strictorderedP(cons(sK24(sK71),sK21))
| nil = cons(sK24(sK71),sK21) ),
inference(superposition,[],[f457,f1742]) ).
fof(f1742,plain,
sK24(sK71) = hd(cons(sK24(sK71),sK21)),
inference(resolution,[],[f1241,f613]) ).
fof(f1747,plain,
( ssItem(sK24(sK70))
| nil = cons(sK24(sK70),sK21)
| ~ ssList(cons(sK24(sK70),sK21)) ),
inference(superposition,[],[f473,f1741]) ).
fof(f1746,plain,
! [X0] :
( leq(X0,sK24(sK70))
| nil = cons(sK24(sK70),sK21)
| ~ sP1(cons(sK24(sK70),sK21),X0) ),
inference(superposition,[],[f447,f1741]) ).
fof(f1745,plain,
! [X0] :
( lt(X0,sK24(sK70))
| nil = cons(sK24(sK70),sK21)
| ~ sP3(cons(sK24(sK70),sK21),X0) ),
inference(superposition,[],[f455,f1741]) ).
fof(f1744,plain,
! [X0] :
( ~ leq(X0,sK24(sK70))
| sP1(cons(sK24(sK70),sK21),X0)
| ~ totalorderedP(cons(sK24(sK70),sK21))
| nil = cons(sK24(sK70),sK21) ),
inference(superposition,[],[f449,f1741]) ).
fof(f1743,plain,
! [X0] :
( ~ lt(X0,sK24(sK70))
| sP3(cons(sK24(sK70),sK21),X0)
| ~ strictorderedP(cons(sK24(sK70),sK21))
| nil = cons(sK24(sK70),sK21) ),
inference(superposition,[],[f457,f1741]) ).
fof(f1741,plain,
sK24(sK70) = hd(cons(sK24(sK70),sK21)),
inference(resolution,[],[f1241,f612]) ).
fof(f1740,plain,
! [X0] :
( sK24(sK60(X0)) = hd(cons(sK24(sK60(X0)),sK21))
| sP17(X0) ),
inference(resolution,[],[f1241,f555]) ).
fof(f1739,plain,
! [X0] :
( sK24(sK59(X0)) = hd(cons(sK24(sK59(X0)),sK21))
| sP17(X0) ),
inference(resolution,[],[f1241,f554]) ).
fof(f1738,plain,
! [X0] :
( sK24(sK55(X0)) = hd(cons(sK24(sK55(X0)),sK21))
| sP15(X0) ),
inference(resolution,[],[f1241,f544]) ).
fof(f1737,plain,
! [X0] :
( sK24(sK54(X0)) = hd(cons(sK24(sK54(X0)),sK21))
| sP15(X0) ),
inference(resolution,[],[f1241,f543]) ).
fof(f1736,plain,
! [X0] :
( sK24(sK50(X0)) = hd(cons(sK24(sK50(X0)),sK21))
| sP13(X0) ),
inference(resolution,[],[f1241,f532]) ).
fof(f1735,plain,
! [X0] :
( sK24(sK49(X0)) = hd(cons(sK24(sK49(X0)),sK21))
| sP13(X0) ),
inference(resolution,[],[f1241,f531]) ).
fof(f1734,plain,
! [X0] :
( sK24(sK45(X0)) = hd(cons(sK24(sK45(X0)),sK21))
| sP11(X0) ),
inference(resolution,[],[f1241,f520]) ).
fof(f1733,plain,
! [X0] :
( sK24(sK44(X0)) = hd(cons(sK24(sK44(X0)),sK21))
| sP11(X0) ),
inference(resolution,[],[f1241,f519]) ).
fof(f1732,plain,
! [X0] :
( sK24(sK40(X0)) = hd(cons(sK24(sK40(X0)),sK21))
| sP9(X0) ),
inference(resolution,[],[f1241,f508]) ).
fof(f1731,plain,
! [X0] :
( sK24(sK39(X0)) = hd(cons(sK24(sK39(X0)),sK21))
| sP9(X0) ),
inference(resolution,[],[f1241,f507]) ).
fof(f1730,plain,
! [X0] :
( sK24(sK35(X0)) = hd(cons(sK24(sK35(X0)),sK21))
| sP7(X0) ),
inference(resolution,[],[f1241,f497]) ).
fof(f1729,plain,
! [X0] :
( sK24(sK34(X0)) = hd(cons(sK24(sK34(X0)),sK21))
| sP7(X0) ),
inference(resolution,[],[f1241,f496]) ).
fof(f1728,plain,
! [X0] :
( sK24(sK31(X0)) = hd(cons(sK24(sK31(X0)),sK21))
| sP5(X0) ),
inference(resolution,[],[f1241,f487]) ).
fof(f1727,plain,
! [X0] :
( sK24(sK30(X0)) = hd(cons(sK24(sK30(X0)),sK21))
| sP5(X0) ),
inference(resolution,[],[f1241,f486]) ).
fof(f1725,plain,
! [X0] :
( sK24(sK29(X0)) = hd(cons(sK24(sK29(X0)),sK21))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1241,f480]) ).
fof(f1724,plain,
! [X0] :
( sK24(sK27(X0)) = hd(cons(sK24(sK27(X0)),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1241,f476]) ).
fof(f1721,plain,
! [X0] :
( sK24(sK26(X0)) = hd(cons(sK24(sK26(X0)),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1241,f471]) ).
fof(f1720,plain,
! [X0] :
( sK24(sK24(X0)) = hd(cons(sK24(sK24(X0)),sK21))
| ~ ssItem(X0) ),
inference(resolution,[],[f1241,f393]) ).
fof(f1719,plain,
( sK24(sK19(sK21,sK20)) = hd(cons(sK24(sK19(sK21,sK20)),sK21))
| ~ spl72_3 ),
inference(resolution,[],[f1241,f789]) ).
fof(f1718,plain,
! [X0,X1] :
( sK24(sK19(X0,X1)) = hd(cons(sK24(sK19(X0,X1)),sK21))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1241,f383]) ).
fof(f1715,plain,
! [X0] :
( sK24(hd(X0)) = hd(cons(sK24(hd(X0)),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1241,f473]) ).
fof(f1241,plain,
! [X0] :
( ~ ssItem(X0)
| sK24(X0) = hd(cons(sK24(X0),sK21)) ),
inference(resolution,[],[f959,f393]) ).
fof(f1702,plain,
! [X0] :
( sK59(X0) = sK60(X0)
| ~ leq(sK59(X0),sK60(X0))
| sP17(X0) ),
inference(subsumption_resolution,[],[f1701,f554]) ).
fof(f1701,plain,
! [X0] :
( sK59(X0) = sK60(X0)
| ~ leq(sK59(X0),sK60(X0))
| ~ ssItem(sK59(X0))
| sP17(X0) ),
inference(subsumption_resolution,[],[f1693,f555]) ).
fof(f1693,plain,
! [X0] :
( sK59(X0) = sK60(X0)
| ~ leq(sK59(X0),sK60(X0))
| ~ ssItem(sK60(X0))
| ~ ssItem(sK59(X0))
| sP17(X0) ),
inference(resolution,[],[f419,f560]) ).
fof(f1700,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK45(X0),sK44(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1699,f520]) ).
fof(f1699,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK45(X0),sK44(X0))
| ~ ssItem(sK45(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1692,f519]) ).
fof(f1692,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK45(X0),sK44(X0))
| ~ ssItem(sK44(X0))
| ~ ssItem(sK45(X0))
| sP11(X0) ),
inference(resolution,[],[f419,f526]) ).
fof(f1698,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK44(X0),sK45(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1697,f519]) ).
fof(f1697,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK44(X0),sK45(X0))
| ~ ssItem(sK44(X0))
| sP11(X0) ),
inference(subsumption_resolution,[],[f1691,f520]) ).
fof(f1691,plain,
! [X0] :
( sK44(X0) = sK45(X0)
| ~ leq(sK44(X0),sK45(X0))
| ~ ssItem(sK45(X0))
| ~ ssItem(sK44(X0))
| sP11(X0) ),
inference(resolution,[],[f419,f525]) ).
fof(f1690,plain,
! [X0,X1] :
( hd(X1) = X0
| ~ leq(X0,hd(X1))
| ~ ssItem(hd(X1))
| ~ ssItem(X0)
| sP3(X1,X0)
| ~ strictorderedP(X1)
| nil = X1 ),
inference(resolution,[],[f419,f457]) ).
fof(f1694,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0) ),
inference(duplicate_literal_removal,[],[f1689]) ).
fof(f1689,plain,
! [X0,X1] :
( X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0)
| ~ lt(X1,X0)
| ~ ssItem(X0)
| ~ ssItem(X1) ),
inference(resolution,[],[f419,f420]) ).
fof(f419,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(f598,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f379,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,[],[f378]) ).
fof(f378,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(f597,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f1582,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1581,f387]) ).
fof(f1581,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(inner_rewriting,[],[f1577]) ).
fof(f1578,plain,
( memberP(sK20,hd(sK20))
| ~ ssList(tl(sK20))
| ~ ssItem(hd(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f645,f1563]) ).
fof(f1577,plain,
( sK20 != tl(sK20)
| ~ ssItem(hd(sK20))
| ~ ssList(tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f570,f1563]) ).
fof(f1563,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1530,f805]) ).
fof(f1530,plain,
( nil = sK20
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(resolution,[],[f475,f387]) ).
fof(f1561,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,[],[f475,f594]) ).
fof(f1560,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,[],[f475,f591]) ).
fof(f1559,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,[],[f475,f590]) ).
fof(f1558,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,[],[f475,f587]) ).
fof(f1557,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,[],[f475,f575]) ).
fof(f1556,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,[],[f475,f574]) ).
fof(f1555,plain,
! [X0] :
( nil = sK63(X0)
| sK63(X0) = cons(hd(sK63(X0)),tl(sK63(X0)))
| sP17(X0) ),
inference(resolution,[],[f475,f558]) ).
fof(f1554,plain,
! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(hd(sK62(X0)),tl(sK62(X0)))
| sP17(X0) ),
inference(resolution,[],[f475,f557]) ).
fof(f1553,plain,
! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(hd(sK61(X0)),tl(sK61(X0)))
| sP17(X0) ),
inference(resolution,[],[f475,f556]) ).
fof(f1552,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
| sP15(X0) ),
inference(resolution,[],[f475,f547]) ).
fof(f1551,plain,
! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(hd(sK57(X0)),tl(sK57(X0)))
| sP15(X0) ),
inference(resolution,[],[f475,f546]) ).
fof(f1550,plain,
! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(hd(sK56(X0)),tl(sK56(X0)))
| sP15(X0) ),
inference(resolution,[],[f475,f545]) ).
fof(f1549,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
| sP13(X0) ),
inference(resolution,[],[f475,f535]) ).
fof(f1548,plain,
! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(hd(sK52(X0)),tl(sK52(X0)))
| sP13(X0) ),
inference(resolution,[],[f475,f534]) ).
fof(f1547,plain,
! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(hd(sK51(X0)),tl(sK51(X0)))
| sP13(X0) ),
inference(resolution,[],[f475,f533]) ).
fof(f1546,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
| sP11(X0) ),
inference(resolution,[],[f475,f523]) ).
fof(f1545,plain,
! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(hd(sK47(X0)),tl(sK47(X0)))
| sP11(X0) ),
inference(resolution,[],[f475,f522]) ).
fof(f1544,plain,
! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(hd(sK46(X0)),tl(sK46(X0)))
| sP11(X0) ),
inference(resolution,[],[f475,f521]) ).
fof(f1543,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
| sP9(X0) ),
inference(resolution,[],[f475,f511]) ).
fof(f1542,plain,
! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(hd(sK42(X0)),tl(sK42(X0)))
| sP9(X0) ),
inference(resolution,[],[f475,f510]) ).
fof(f1541,plain,
! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(hd(sK41(X0)),tl(sK41(X0)))
| sP9(X0) ),
inference(resolution,[],[f475,f509]) ).
fof(f1540,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
| sP7(X0) ),
inference(resolution,[],[f475,f500]) ).
fof(f1539,plain,
! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(hd(sK37(X0)),tl(sK37(X0)))
| sP7(X0) ),
inference(resolution,[],[f475,f499]) ).
fof(f1538,plain,
! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(hd(sK36(X0)),tl(sK36(X0)))
| sP7(X0) ),
inference(resolution,[],[f475,f498]) ).
fof(f1537,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
| sP5(X0) ),
inference(resolution,[],[f475,f489]) ).
fof(f1536,plain,
! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(hd(sK32(X0)),tl(sK32(X0)))
| sP5(X0) ),
inference(resolution,[],[f475,f488]) ).
fof(f1535,plain,
! [X0] :
( nil = sK28(X0)
| sK28(X0) = cons(hd(sK28(X0)),tl(sK28(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f475,f478]) ).
fof(f1534,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f475,f470]) ).
fof(f1567,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f1566,f392]) ).
fof(f1566,plain,
( sK22 = cons(hd(sK22),tl(sK22))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1565,f805]) ).
fof(f1565,plain,
( nil = sK20
| sK22 = cons(hd(sK22),tl(sK22)) ),
inference(forward_demodulation,[],[f1532,f392]) ).
fof(f1532,plain,
( nil = sK22
| sK22 = cons(hd(sK22),tl(sK22)) ),
inference(resolution,[],[f475,f389]) ).
fof(f1529,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f475,f474]) ).
fof(f1527,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,[],[f475,f578]) ).
fof(f1562,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1526,f569]) ).
fof(f1526,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,[],[f475,f568]) ).
fof(f475,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(f1475,plain,
( sK20 != sK25(sK20)
| ~ ssItem(sK26(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1474,f387]) ).
fof(f1474,plain,
( sK20 != sK25(sK20)
| ~ ssItem(sK26(sK20))
| ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(inner_rewriting,[],[f1470]) ).
fof(f1471,plain,
( memberP(sK20,sK26(sK20))
| ~ ssList(sK25(sK20))
| ~ ssItem(sK26(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f645,f1456]) ).
fof(f1470,plain,
( sK20 != sK25(sK20)
| ~ ssItem(sK26(sK20))
| ~ ssList(sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f570,f1456]) ).
fof(f1473,plain,
( sP3(sK25(sK20),sK26(sK20))
| ~ sP4(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1466,f803]) ).
fof(f1466,plain,
( ~ strictorderedP(sK20)
| sP3(sK25(sK20),sK26(sK20))
| ~ sP4(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f451,f1456]) ).
fof(f1472,plain,
( sP1(sK25(sK20),sK26(sK20))
| ~ sP2(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1464,f804]) ).
fof(f1464,plain,
( ~ totalorderedP(sK20)
| sP1(sK25(sK20),sK26(sK20))
| ~ sP2(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f443,f1456]) ).
fof(f1456,plain,
( sK20 = cons(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1423,f805]) ).
fof(f1423,plain,
( nil = sK20
| sK20 = cons(sK26(sK20),sK25(sK20)) ),
inference(resolution,[],[f472,f387]) ).
fof(f1454,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,[],[f472,f594]) ).
fof(f1453,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,[],[f472,f591]) ).
fof(f1452,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,[],[f472,f590]) ).
fof(f1451,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,[],[f472,f587]) ).
fof(f1450,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,[],[f472,f575]) ).
fof(f1449,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,[],[f472,f574]) ).
fof(f1448,plain,
! [X0] :
( nil = sK63(X0)
| sK63(X0) = cons(sK26(sK63(X0)),sK25(sK63(X0)))
| sP17(X0) ),
inference(resolution,[],[f472,f558]) ).
fof(f1447,plain,
! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(sK26(sK62(X0)),sK25(sK62(X0)))
| sP17(X0) ),
inference(resolution,[],[f472,f557]) ).
fof(f1446,plain,
! [X0] :
( nil = sK61(X0)
| sK61(X0) = cons(sK26(sK61(X0)),sK25(sK61(X0)))
| sP17(X0) ),
inference(resolution,[],[f472,f556]) ).
fof(f1445,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(sK26(sK58(X0)),sK25(sK58(X0)))
| sP15(X0) ),
inference(resolution,[],[f472,f547]) ).
fof(f1444,plain,
! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(sK26(sK57(X0)),sK25(sK57(X0)))
| sP15(X0) ),
inference(resolution,[],[f472,f546]) ).
fof(f1443,plain,
! [X0] :
( nil = sK56(X0)
| sK56(X0) = cons(sK26(sK56(X0)),sK25(sK56(X0)))
| sP15(X0) ),
inference(resolution,[],[f472,f545]) ).
fof(f1442,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(sK26(sK53(X0)),sK25(sK53(X0)))
| sP13(X0) ),
inference(resolution,[],[f472,f535]) ).
fof(f1441,plain,
! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(sK26(sK52(X0)),sK25(sK52(X0)))
| sP13(X0) ),
inference(resolution,[],[f472,f534]) ).
fof(f1440,plain,
! [X0] :
( nil = sK51(X0)
| sK51(X0) = cons(sK26(sK51(X0)),sK25(sK51(X0)))
| sP13(X0) ),
inference(resolution,[],[f472,f533]) ).
fof(f1439,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(sK26(sK48(X0)),sK25(sK48(X0)))
| sP11(X0) ),
inference(resolution,[],[f472,f523]) ).
fof(f1438,plain,
! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(sK26(sK47(X0)),sK25(sK47(X0)))
| sP11(X0) ),
inference(resolution,[],[f472,f522]) ).
fof(f1437,plain,
! [X0] :
( nil = sK46(X0)
| sK46(X0) = cons(sK26(sK46(X0)),sK25(sK46(X0)))
| sP11(X0) ),
inference(resolution,[],[f472,f521]) ).
fof(f1436,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(sK26(sK43(X0)),sK25(sK43(X0)))
| sP9(X0) ),
inference(resolution,[],[f472,f511]) ).
fof(f1435,plain,
! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(sK26(sK42(X0)),sK25(sK42(X0)))
| sP9(X0) ),
inference(resolution,[],[f472,f510]) ).
fof(f1434,plain,
! [X0] :
( nil = sK41(X0)
| sK41(X0) = cons(sK26(sK41(X0)),sK25(sK41(X0)))
| sP9(X0) ),
inference(resolution,[],[f472,f509]) ).
fof(f1433,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(sK26(sK38(X0)),sK25(sK38(X0)))
| sP7(X0) ),
inference(resolution,[],[f472,f500]) ).
fof(f1432,plain,
! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(sK26(sK37(X0)),sK25(sK37(X0)))
| sP7(X0) ),
inference(resolution,[],[f472,f499]) ).
fof(f1431,plain,
! [X0] :
( nil = sK36(X0)
| sK36(X0) = cons(sK26(sK36(X0)),sK25(sK36(X0)))
| sP7(X0) ),
inference(resolution,[],[f472,f498]) ).
fof(f1430,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(sK26(sK33(X0)),sK25(sK33(X0)))
| sP5(X0) ),
inference(resolution,[],[f472,f489]) ).
fof(f1429,plain,
! [X0] :
( nil = sK32(X0)
| sK32(X0) = cons(sK26(sK32(X0)),sK25(sK32(X0)))
| sP5(X0) ),
inference(resolution,[],[f472,f488]) ).
fof(f1428,plain,
! [X0] :
( nil = sK28(X0)
| sK28(X0) = cons(sK26(sK28(X0)),sK25(sK28(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f472,f478]) ).
fof(f1427,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(sK26(sK25(X0)),sK25(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f472,f470]) ).
fof(f1460,plain,
( sK20 = cons(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f1459,f392]) ).
fof(f1459,plain,
( sK22 = cons(sK26(sK22),sK25(sK22))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1458,f805]) ).
fof(f1458,plain,
( nil = sK20
| sK22 = cons(sK26(sK22),sK25(sK22)) ),
inference(forward_demodulation,[],[f1425,f392]) ).
fof(f1425,plain,
( nil = sK22
| sK22 = cons(sK26(sK22),sK25(sK22)) ),
inference(resolution,[],[f472,f389]) ).
fof(f1422,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK26(tl(X0)),sK25(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f472,f474]) ).
fof(f1420,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,[],[f472,f578]) ).
fof(f1455,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK26(cons(X0,X1)),sK25(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1419,f569]) ).
fof(f1419,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,[],[f472,f568]) ).
fof(f472,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK26(X0),sK25(X0)) = X0 ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,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,f284,f283]) ).
fof(f283,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(f284,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(f1418,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1056,f676]) ).
fof(f1056,plain,
! [X0] :
( sP17(X0)
| sK60(X0) = hd(cons(sK60(X0),sK20)) ),
inference(resolution,[],[f958,f555]) ).
fof(f1417,plain,
! [X0] :
( sK59(X0) = hd(cons(sK59(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1055,f676]) ).
fof(f1055,plain,
! [X0] :
( sP17(X0)
| sK59(X0) = hd(cons(sK59(X0),sK20)) ),
inference(resolution,[],[f958,f554]) ).
fof(f1416,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1054,f674]) ).
fof(f1054,plain,
! [X0] :
( sP15(X0)
| sK55(X0) = hd(cons(sK55(X0),sK20)) ),
inference(resolution,[],[f958,f544]) ).
fof(f1415,plain,
! [X0] :
( sK54(X0) = hd(cons(sK54(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1053,f674]) ).
fof(f1053,plain,
! [X0] :
( sP15(X0)
| sK54(X0) = hd(cons(sK54(X0),sK20)) ),
inference(resolution,[],[f958,f543]) ).
fof(f1052,plain,
! [X0] :
( sP13(X0)
| sK50(X0) = hd(cons(sK50(X0),sK20)) ),
inference(resolution,[],[f958,f532]) ).
fof(f1051,plain,
! [X0] :
( sP13(X0)
| sK49(X0) = hd(cons(sK49(X0),sK20)) ),
inference(resolution,[],[f958,f531]) ).
fof(f1050,plain,
! [X0] :
( sP11(X0)
| sK45(X0) = hd(cons(sK45(X0),sK20)) ),
inference(resolution,[],[f958,f520]) ).
fof(f1049,plain,
! [X0] :
( sP11(X0)
| sK44(X0) = hd(cons(sK44(X0),sK20)) ),
inference(resolution,[],[f958,f519]) ).
fof(f1048,plain,
! [X0] :
( sP9(X0)
| sK40(X0) = hd(cons(sK40(X0),sK20)) ),
inference(resolution,[],[f958,f508]) ).
fof(f1047,plain,
! [X0] :
( sP9(X0)
| sK39(X0) = hd(cons(sK39(X0),sK20)) ),
inference(resolution,[],[f958,f507]) ).
fof(f1046,plain,
! [X0] :
( sP7(X0)
| sK35(X0) = hd(cons(sK35(X0),sK20)) ),
inference(resolution,[],[f958,f497]) ).
fof(f1412,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP3(cons(sK71,sK21),X0)
| ~ strictorderedP(cons(sK71,sK21))
| nil = cons(sK71,sK21) ),
inference(superposition,[],[f457,f1261]) ).
fof(f1411,plain,
! [X0] :
( ~ lt(X0,sK70)
| sP3(cons(sK70,sK21),X0)
| ~ strictorderedP(cons(sK70,sK21))
| nil = cons(sK70,sK21) ),
inference(superposition,[],[f457,f1260]) ).
fof(f1410,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP3(cons(sK71,sK20),X0)
| ~ strictorderedP(cons(sK71,sK20))
| nil = cons(sK71,sK20) ),
inference(superposition,[],[f457,f1058]) ).
fof(f1409,plain,
! [X0] :
( ~ lt(X0,sK70)
| sP3(cons(sK70,sK20),X0)
| ~ strictorderedP(cons(sK70,sK20))
| nil = cons(sK70,sK20) ),
inference(superposition,[],[f457,f1057]) ).
fof(f1407,plain,
! [X0] :
( ~ lt(X0,sK24(sK71))
| sP3(cons(sK24(sK71),sK20),X0)
| ~ strictorderedP(cons(sK24(sK71),sK20))
| nil = cons(sK24(sK71),sK20) ),
inference(superposition,[],[f457,f1396]) ).
fof(f1406,plain,
! [X0] :
( ~ lt(X0,sK24(sK70))
| sP3(cons(sK24(sK70),sK20),X0)
| ~ strictorderedP(cons(sK24(sK70),sK20))
| nil = cons(sK24(sK70),sK20) ),
inference(superposition,[],[f457,f1395]) ).
fof(f457,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP3(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1] :
( ( sP3(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP3(X0,X1) ) ),
inference(rectify,[],[f279]) ).
fof(f279,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP3(X1,X0) ) ),
inference(flattening,[],[f278]) ).
fof(f278,plain,
! [X1,X0] :
( ( sP3(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP3(X1,X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X1,X0] :
( sP3(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1045,plain,
! [X0] :
( sP7(X0)
| sK34(X0) = hd(cons(sK34(X0),sK20)) ),
inference(resolution,[],[f958,f496]) ).
fof(f1044,plain,
! [X0] :
( sP5(X0)
| sK31(X0) = hd(cons(sK31(X0),sK20)) ),
inference(resolution,[],[f958,f487]) ).
fof(f1043,plain,
! [X0] :
( sP5(X0)
| sK30(X0) = hd(cons(sK30(X0),sK20)) ),
inference(resolution,[],[f958,f486]) ).
fof(f1404,plain,
( ssItem(sK24(sK71))
| nil = cons(sK24(sK71),sK20)
| ~ ssList(cons(sK24(sK71),sK20)) ),
inference(superposition,[],[f473,f1396]) ).
fof(f1403,plain,
! [X0] :
( leq(X0,sK24(sK71))
| nil = cons(sK24(sK71),sK20)
| ~ sP1(cons(sK24(sK71),sK20),X0) ),
inference(superposition,[],[f447,f1396]) ).
fof(f1402,plain,
! [X0] :
( lt(X0,sK24(sK71))
| nil = cons(sK24(sK71),sK20)
| ~ sP3(cons(sK24(sK71),sK20),X0) ),
inference(superposition,[],[f455,f1396]) ).
fof(f1401,plain,
! [X0] :
( ~ leq(X0,sK24(sK71))
| sP1(cons(sK24(sK71),sK20),X0)
| ~ totalorderedP(cons(sK24(sK71),sK20))
| nil = cons(sK24(sK71),sK20) ),
inference(superposition,[],[f449,f1396]) ).
fof(f1396,plain,
sK24(sK71) = hd(cons(sK24(sK71),sK20)),
inference(resolution,[],[f1039,f613]) ).
fof(f1400,plain,
( ssItem(sK24(sK70))
| nil = cons(sK24(sK70),sK20)
| ~ ssList(cons(sK24(sK70),sK20)) ),
inference(superposition,[],[f473,f1395]) ).
fof(f1399,plain,
! [X0] :
( leq(X0,sK24(sK70))
| nil = cons(sK24(sK70),sK20)
| ~ sP1(cons(sK24(sK70),sK20),X0) ),
inference(superposition,[],[f447,f1395]) ).
fof(f1398,plain,
! [X0] :
( lt(X0,sK24(sK70))
| nil = cons(sK24(sK70),sK20)
| ~ sP3(cons(sK24(sK70),sK20),X0) ),
inference(superposition,[],[f455,f1395]) ).
fof(f1397,plain,
! [X0] :
( ~ leq(X0,sK24(sK70))
| sP1(cons(sK24(sK70),sK20),X0)
| ~ totalorderedP(cons(sK24(sK70),sK20))
| nil = cons(sK24(sK70),sK20) ),
inference(superposition,[],[f449,f1395]) ).
fof(f1395,plain,
sK24(sK70) = hd(cons(sK24(sK70),sK20)),
inference(resolution,[],[f1039,f612]) ).
fof(f1394,plain,
! [X0] :
( sK24(sK60(X0)) = hd(cons(sK24(sK60(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f1039,f555]) ).
fof(f1393,plain,
! [X0] :
( sK24(sK59(X0)) = hd(cons(sK24(sK59(X0)),sK20))
| sP17(X0) ),
inference(resolution,[],[f1039,f554]) ).
fof(f1392,plain,
! [X0] :
( sK24(sK55(X0)) = hd(cons(sK24(sK55(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f1039,f544]) ).
fof(f1391,plain,
! [X0] :
( sK24(sK54(X0)) = hd(cons(sK24(sK54(X0)),sK20))
| sP15(X0) ),
inference(resolution,[],[f1039,f543]) ).
fof(f1390,plain,
! [X0] :
( sK24(sK50(X0)) = hd(cons(sK24(sK50(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f1039,f532]) ).
fof(f1389,plain,
! [X0] :
( sK24(sK49(X0)) = hd(cons(sK24(sK49(X0)),sK20))
| sP13(X0) ),
inference(resolution,[],[f1039,f531]) ).
fof(f1388,plain,
! [X0] :
( sK24(sK45(X0)) = hd(cons(sK24(sK45(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f1039,f520]) ).
fof(f1387,plain,
! [X0] :
( sK24(sK44(X0)) = hd(cons(sK24(sK44(X0)),sK20))
| sP11(X0) ),
inference(resolution,[],[f1039,f519]) ).
fof(f1386,plain,
! [X0] :
( sK24(sK40(X0)) = hd(cons(sK24(sK40(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f1039,f508]) ).
fof(f1385,plain,
! [X0] :
( sK24(sK39(X0)) = hd(cons(sK24(sK39(X0)),sK20))
| sP9(X0) ),
inference(resolution,[],[f1039,f507]) ).
fof(f1384,plain,
! [X0] :
( sK24(sK35(X0)) = hd(cons(sK24(sK35(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f1039,f497]) ).
fof(f1383,plain,
! [X0] :
( sK24(sK34(X0)) = hd(cons(sK24(sK34(X0)),sK20))
| sP7(X0) ),
inference(resolution,[],[f1039,f496]) ).
fof(f1382,plain,
! [X0] :
( sK24(sK31(X0)) = hd(cons(sK24(sK31(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f1039,f487]) ).
fof(f1381,plain,
! [X0] :
( sK24(sK30(X0)) = hd(cons(sK24(sK30(X0)),sK20))
| sP5(X0) ),
inference(resolution,[],[f1039,f486]) ).
fof(f1379,plain,
! [X0] :
( sK24(sK29(X0)) = hd(cons(sK24(sK29(X0)),sK20))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1039,f480]) ).
fof(f1378,plain,
! [X0] :
( sK24(sK27(X0)) = hd(cons(sK24(sK27(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1039,f476]) ).
fof(f1377,plain,
! [X0] :
( sK24(sK26(X0)) = hd(cons(sK24(sK26(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1039,f471]) ).
fof(f1376,plain,
! [X0] :
( sK24(sK24(X0)) = hd(cons(sK24(sK24(X0)),sK20))
| ~ ssItem(X0) ),
inference(resolution,[],[f1039,f393]) ).
fof(f1375,plain,
( sK24(sK19(sK21,sK20)) = hd(cons(sK24(sK19(sK21,sK20)),sK20))
| ~ spl72_3 ),
inference(resolution,[],[f1039,f789]) ).
fof(f1374,plain,
! [X0,X1] :
( sK24(sK19(X0,X1)) = hd(cons(sK24(sK19(X0,X1)),sK20))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1039,f383]) ).
fof(f1373,plain,
! [X0] :
( sK24(hd(X0)) = hd(cons(sK24(hd(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1039,f473]) ).
fof(f1039,plain,
! [X0] :
( ~ ssItem(X0)
| sK24(X0) = hd(cons(sK24(X0),sK20)) ),
inference(resolution,[],[f958,f393]) ).
fof(f1327,plain,
( sK21 = tl(cons(sK24(sK19(sK21,sK20)),sK21))
| ~ spl72_3 ),
inference(resolution,[],[f1014,f789]) ).
fof(f1290,plain,
( sK20 = tl(cons(sK24(sK19(sK21,sK20)),sK20))
| ~ spl72_3 ),
inference(resolution,[],[f989,f789]) ).
fof(f1370,plain,
! [X0] :
( sK21 = tl(cons(sK60(X0),sK21))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1031,f676]) ).
fof(f1031,plain,
! [X0] :
( sP17(X0)
| sK21 = tl(cons(sK60(X0),sK21)) ),
inference(resolution,[],[f927,f555]) ).
fof(f1369,plain,
! [X0] :
( sK21 = tl(cons(sK59(X0),sK21))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1030,f676]) ).
fof(f1030,plain,
! [X0] :
( sP17(X0)
| sK21 = tl(cons(sK59(X0),sK21)) ),
inference(resolution,[],[f927,f554]) ).
fof(f1368,plain,
! [X0] :
( sK21 = tl(cons(sK55(X0),sK21))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1029,f674]) ).
fof(f1029,plain,
! [X0] :
( sP15(X0)
| sK21 = tl(cons(sK55(X0),sK21)) ),
inference(resolution,[],[f927,f544]) ).
fof(f1365,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP1(cons(sK71,sK21),X0)
| ~ totalorderedP(cons(sK71,sK21))
| nil = cons(sK71,sK21) ),
inference(superposition,[],[f449,f1261]) ).
fof(f1364,plain,
! [X0] :
( ~ leq(X0,sK70)
| sP1(cons(sK70,sK21),X0)
| ~ totalorderedP(cons(sK70,sK21))
| nil = cons(sK70,sK21) ),
inference(superposition,[],[f449,f1260]) ).
fof(f1362,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP1(cons(sK71,sK20),X0)
| ~ totalorderedP(cons(sK71,sK20))
| nil = cons(sK71,sK20) ),
inference(superposition,[],[f449,f1058]) ).
fof(f1361,plain,
! [X0] :
( ~ leq(X0,sK70)
| sP1(cons(sK70,sK20),X0)
| ~ totalorderedP(cons(sK70,sK20))
| nil = cons(sK70,sK20) ),
inference(superposition,[],[f449,f1057]) ).
fof(f1360,plain,
! [X0] :
( sP1(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f449,f410]) ).
fof(f449,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP1(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( ( sP1(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP1(X0,X1) ) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP1(X1,X0) ) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
! [X1,X0] :
( ( sP1(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP1(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP1(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f1358,plain,
! [X0] :
( sK21 = tl(cons(sK54(X0),sK21))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1028,f674]) ).
fof(f1028,plain,
! [X0] :
( sP15(X0)
| sK21 = tl(cons(sK54(X0),sK21)) ),
inference(resolution,[],[f927,f543]) ).
fof(f1027,plain,
! [X0] :
( sP13(X0)
| sK21 = tl(cons(sK50(X0),sK21)) ),
inference(resolution,[],[f927,f532]) ).
fof(f1026,plain,
! [X0] :
( sP13(X0)
| sK21 = tl(cons(sK49(X0),sK21)) ),
inference(resolution,[],[f927,f531]) ).
fof(f1025,plain,
! [X0] :
( sP11(X0)
| sK21 = tl(cons(sK45(X0),sK21)) ),
inference(resolution,[],[f927,f520]) ).
fof(f1024,plain,
! [X0] :
( sP11(X0)
| sK21 = tl(cons(sK44(X0),sK21)) ),
inference(resolution,[],[f927,f519]) ).
fof(f1023,plain,
! [X0] :
( sP9(X0)
| sK21 = tl(cons(sK40(X0),sK21)) ),
inference(resolution,[],[f927,f508]) ).
fof(f1022,plain,
! [X0] :
( sP9(X0)
| sK21 = tl(cons(sK39(X0),sK21)) ),
inference(resolution,[],[f927,f507]) ).
fof(f1021,plain,
! [X0] :
( sP7(X0)
| sK21 = tl(cons(sK35(X0),sK21)) ),
inference(resolution,[],[f927,f497]) ).
fof(f1020,plain,
! [X0] :
( sP7(X0)
| sK21 = tl(cons(sK34(X0),sK21)) ),
inference(resolution,[],[f927,f496]) ).
fof(f1019,plain,
! [X0] :
( sP5(X0)
| sK21 = tl(cons(sK31(X0),sK21)) ),
inference(resolution,[],[f927,f487]) ).
fof(f1018,plain,
! [X0] :
( sP5(X0)
| sK21 = tl(cons(sK30(X0),sK21)) ),
inference(resolution,[],[f927,f486]) ).
fof(f1357,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK69(X0,X1) = app(sK69(X0,X1),nil) ),
inference(resolution,[],[f594,f468]) ).
fof(f1356,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK69(X0,X1) = app(nil,sK69(X0,X1)) ),
inference(resolution,[],[f594,f469]) ).
fof(f1355,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK69(X0,X1)
| hd(sK69(X0,X1)) = sK27(sK69(X0,X1)) ),
inference(resolution,[],[f594,f477]) ).
fof(f1354,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK69(X0,X1)
| tl(sK69(X0,X1)) = sK28(sK69(X0,X1)) ),
inference(resolution,[],[f594,f479]) ).
fof(f1353,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK69(X0,X1) = tl(cons(X2,sK69(X0,X1))) ),
inference(resolution,[],[f594,f571]) ).
fof(f1352,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK69(X0,X1))) = X2 ),
inference(resolution,[],[f594,f572]) ).
fof(f594,plain,
! [X0,X1] :
( ssList(sK69(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f1348,plain,
sK21 = tl(cons(sK24(sK71),sK21)),
inference(resolution,[],[f1014,f613]) ).
fof(f1347,plain,
sK21 = tl(cons(sK24(sK70),sK21)),
inference(resolution,[],[f1014,f612]) ).
fof(f1331,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK29(X0)),sK21))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1014,f480]) ).
fof(f1330,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK27(X0)),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1014,f476]) ).
fof(f1329,plain,
! [X0] :
( sK21 = tl(cons(sK24(sK26(X0)),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1014,f471]) ).
fof(f1326,plain,
! [X0,X1] :
( sK21 = tl(cons(sK24(sK19(X0,X1)),sK21))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1014,f383]) ).
fof(f1325,plain,
! [X0] :
( sK21 = tl(cons(sK24(hd(X0)),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1014,f473]) ).
fof(f1014,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(sK24(X0),sK21)) ),
inference(resolution,[],[f927,f393]) ).
fof(f1324,plain,
! [X0] :
( sK20 = tl(cons(sK60(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1006,f676]) ).
fof(f1006,plain,
! [X0] :
( sP17(X0)
| sK20 = tl(cons(sK60(X0),sK20)) ),
inference(resolution,[],[f926,f555]) ).
fof(f1323,plain,
! [X0] :
( sK20 = tl(cons(sK59(X0),sK20))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1005,f676]) ).
fof(f1005,plain,
! [X0] :
( sP17(X0)
| sK20 = tl(cons(sK59(X0),sK20)) ),
inference(resolution,[],[f926,f554]) ).
fof(f1322,plain,
! [X0] :
( sK20 = tl(cons(sK55(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1004,f674]) ).
fof(f1004,plain,
! [X0] :
( sP15(X0)
| sK20 = tl(cons(sK55(X0),sK20)) ),
inference(resolution,[],[f926,f544]) ).
fof(f1321,plain,
! [X0] :
( sK20 = tl(cons(sK54(X0),sK20))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1003,f674]) ).
fof(f1003,plain,
! [X0] :
( sP15(X0)
| sK20 = tl(cons(sK54(X0),sK20)) ),
inference(resolution,[],[f926,f543]) ).
fof(f1002,plain,
! [X0] :
( sP13(X0)
| sK20 = tl(cons(sK50(X0),sK20)) ),
inference(resolution,[],[f926,f532]) ).
fof(f1001,plain,
! [X0] :
( sP13(X0)
| sK20 = tl(cons(sK49(X0),sK20)) ),
inference(resolution,[],[f926,f531]) ).
fof(f1000,plain,
! [X0] :
( sP11(X0)
| sK20 = tl(cons(sK45(X0),sK20)) ),
inference(resolution,[],[f926,f520]) ).
fof(f1320,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(sK68(X0,X1),nil) ),
inference(resolution,[],[f591,f468]) ).
fof(f1319,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(nil,sK68(X0,X1)) ),
inference(resolution,[],[f591,f469]) ).
fof(f1318,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| hd(sK68(X0,X1)) = sK27(sK68(X0,X1)) ),
inference(resolution,[],[f591,f477]) ).
fof(f1317,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| tl(sK68(X0,X1)) = sK28(sK68(X0,X1)) ),
inference(resolution,[],[f591,f479]) ).
fof(f1316,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK68(X0,X1) = tl(cons(X2,sK68(X0,X1))) ),
inference(resolution,[],[f591,f571]) ).
fof(f1315,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 ),
inference(resolution,[],[f591,f572]) ).
fof(f591,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,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])],[f370,f372,f371]) ).
fof(f371,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(f372,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(f370,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,[],[f369]) ).
fof(f369,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(f999,plain,
! [X0] :
( sP11(X0)
| sK20 = tl(cons(sK44(X0),sK20)) ),
inference(resolution,[],[f926,f519]) ).
fof(f998,plain,
! [X0] :
( sP9(X0)
| sK20 = tl(cons(sK40(X0),sK20)) ),
inference(resolution,[],[f926,f508]) ).
fof(f997,plain,
! [X0] :
( sP9(X0)
| sK20 = tl(cons(sK39(X0),sK20)) ),
inference(resolution,[],[f926,f507]) ).
fof(f996,plain,
! [X0] :
( sP7(X0)
| sK20 = tl(cons(sK35(X0),sK20)) ),
inference(resolution,[],[f926,f497]) ).
fof(f995,plain,
! [X0] :
( sP7(X0)
| sK20 = tl(cons(sK34(X0),sK20)) ),
inference(resolution,[],[f926,f496]) ).
fof(f994,plain,
! [X0] :
( sP5(X0)
| sK20 = tl(cons(sK31(X0),sK20)) ),
inference(resolution,[],[f926,f487]) ).
fof(f993,plain,
! [X0] :
( sP5(X0)
| sK20 = tl(cons(sK30(X0),sK20)) ),
inference(resolution,[],[f926,f486]) ).
fof(f1311,plain,
sK20 = tl(cons(sK24(sK71),sK20)),
inference(resolution,[],[f989,f613]) ).
fof(f1310,plain,
sK20 = tl(cons(sK24(sK70),sK20)),
inference(resolution,[],[f989,f612]) ).
fof(f1294,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK29(X0)),sK20))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f989,f480]) ).
fof(f1293,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK27(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f989,f476]) ).
fof(f1292,plain,
! [X0] :
( sK20 = tl(cons(sK24(sK26(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f989,f471]) ).
fof(f1289,plain,
! [X0,X1] :
( sK20 = tl(cons(sK24(sK19(X0,X1)),sK20))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f989,f383]) ).
fof(f1288,plain,
! [X0] :
( sK20 = tl(cons(sK24(hd(X0)),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f989,f473]) ).
fof(f989,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(sK24(X0),sK20)) ),
inference(resolution,[],[f926,f393]) ).
fof(f1287,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(sK67(X0,X1),nil) ),
inference(resolution,[],[f590,f468]) ).
fof(f1286,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(nil,sK67(X0,X1)) ),
inference(resolution,[],[f590,f469]) ).
fof(f1285,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| hd(sK67(X0,X1)) = sK27(sK67(X0,X1)) ),
inference(resolution,[],[f590,f477]) ).
fof(f1284,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| tl(sK67(X0,X1)) = sK28(sK67(X0,X1)) ),
inference(resolution,[],[f590,f479]) ).
fof(f1283,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK67(X0,X1) = tl(cons(X2,sK67(X0,X1))) ),
inference(resolution,[],[f590,f571]) ).
fof(f1282,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ),
inference(resolution,[],[f590,f572]) ).
fof(f590,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f1013,plain,
( sK21 = tl(cons(sK19(sK21,sK20),sK21))
| ~ spl72_3 ),
inference(resolution,[],[f927,f789]) ).
fof(f988,plain,
( sK20 = tl(cons(sK19(sK21,sK20),sK20))
| ~ spl72_3 ),
inference(resolution,[],[f926,f789]) ).
fof(f1272,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK21)
| ~ sP1(cons(sK71,sK21),X0) ),
inference(superposition,[],[f447,f1261]) ).
fof(f1271,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK21)
| ~ sP3(cons(sK71,sK21),X0) ),
inference(superposition,[],[f455,f1261]) ).
fof(f1261,plain,
sK71 = hd(cons(sK71,sK21)),
inference(resolution,[],[f959,f613]) ).
fof(f1270,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ),
inference(resolution,[],[f587,f468]) ).
fof(f1269,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
inference(resolution,[],[f587,f469]) ).
fof(f1268,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK27(sK66(X0,X1)) ),
inference(resolution,[],[f587,f477]) ).
fof(f1267,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK28(sK66(X0,X1)) ),
inference(resolution,[],[f587,f479]) ).
fof(f1266,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
inference(resolution,[],[f587,f571]) ).
fof(f1265,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f587,f572]) ).
fof(f587,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f1263,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK21)
| ~ sP1(cons(sK70,sK21),X0) ),
inference(superposition,[],[f447,f1260]) ).
fof(f1262,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK21)
| ~ sP3(cons(sK70,sK21),X0) ),
inference(superposition,[],[f455,f1260]) ).
fof(f1260,plain,
sK70 = hd(cons(sK70,sK21)),
inference(resolution,[],[f959,f612]) ).
fof(f1244,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK21))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f959,f480]) ).
fof(f1243,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f959,f476]) ).
fof(f1242,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f959,f471]) ).
fof(f1239,plain,
! [X0,X1] :
( sK19(X0,X1) = hd(cons(sK19(X0,X1),sK21))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f959,f383]) ).
fof(f1238,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f959,f473]) ).
fof(f959,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ),
inference(resolution,[],[f572,f388]) ).
fof(f1234,plain,
( tl(sK20) = sK28(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f885,f805]) ).
fof(f1230,plain,
( hd(sK20) = sK27(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f844,f805]) ).
fof(f1228,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ),
inference(resolution,[],[f575,f468]) ).
fof(f1227,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
inference(resolution,[],[f575,f469]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK27(sK65(X0,X1)) ),
inference(resolution,[],[f575,f477]) ).
fof(f1225,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK28(sK65(X0,X1)) ),
inference(resolution,[],[f575,f479]) ).
fof(f1224,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
inference(resolution,[],[f575,f571]) ).
fof(f1223,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f575,f572]) ).
fof(f575,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f363,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])],[f360,f362,f361]) ).
fof(f361,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(f362,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(f360,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,[],[f359]) ).
fof(f359,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(f1221,plain,
( memberP(sK20,sK19(sK21,sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1220,f789]) ).
fof(f1220,plain,
( memberP(sK20,sK19(sK21,sK20))
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f1219,f406]) ).
fof(f1219,plain,
( memberP(sK20,sK19(sK21,sK20))
| ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f645,f1184]) ).
fof(f1183,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1182,f387]) ).
fof(f1182,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(resolution,[],[f1070,f481]) ).
fof(f805,plain,
( nil != sK20
| ~ spl72_2
| ~ spl72_3 ),
inference(global_subsumption,[],[f386,f397,f396,f419,f420,f421,f422,f426,f425,f428,f427,f431,f430,f646,f432,f433,f434,f435,f436,f439,f437,f644,f441,f440,f444,f443,f449,f447,f452,f451,f457,f455,f461,f460,f459,f472,f475,f477,f479,f623,f481,f490,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f571,f572,f573,f635,f576,f575,f574,f579,f580,f581,f582,f583,f584,f637,f588,f587,f638,f592,f591,f590,f639,f595,f594,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f658,f655,f666,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f682,f683,f469,f733,f734,f713,f714,f715,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f799,f800,f418,f801,f802,f803,f804,f784]) ).
fof(f1070,plain,
( singletonP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1069,f387]) ).
fof(f1069,plain,
( ~ ssList(sK20)
| singletonP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f1068,f770]) ).
fof(f1068,plain,
( singletonP(sK20)
| ~ ssList(cons(sK19(sK21,sK20),nil))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1066,f789]) ).
fof(f1066,plain,
( singletonP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ ssList(cons(sK19(sK21,sK20),nil))
| ~ spl72_2 ),
inference(superposition,[],[f623,f770]) ).
fof(f804,plain,
( totalorderedP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f777,f789]) ).
fof(f803,plain,
( strictorderedP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f776,f789]) ).
fof(f802,plain,
( strictorderP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f775,f789]) ).
fof(f801,plain,
( totalorderP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f774,f789]) ).
fof(f800,plain,
( cyclefreeP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f773,f789]) ).
fof(f799,plain,
( duplicatefreeP(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f772,f789]) ).
fof(f1181,plain,
( sP0(sK21,sK20)
| ~ spl72_2 ),
inference(global_subsumption,[],[f386,f397,f396,f419,f421,f422,f431,f646,f432,f433,f434,f435,f436,f439,f437,f644,f441,f440,f449,f457,f461,f460,f459,f472,f475,f490,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f575,f579,f580,f581,f582,f583,f584,f637,f588,f587,f638,f592,f591,f590,f639,f595,f594,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f666,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f418,f784,f420,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f479,f911,f882,f884,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f481,f571,f922,f923,f924,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f956,f957,f959,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f927,f1011,f1012,f1014,f1015,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1029,f1030,f1031,f1032,f1033,f958,f1036,f1037,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1054,f1055,f1056,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658]) ).
fof(f658,plain,
( sP0(sK21,sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f657,f391]) ).
fof(f657,plain,
( sP0(sK23,sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f656,f392]) ).
fof(f656,plain,
( nil = sK20
| sP0(sK23,sK22) ),
inference(forward_demodulation,[],[f397,f392]) ).
fof(f1141,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) ),
inference(resolution,[],[f574,f468]) ).
fof(f1140,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
inference(resolution,[],[f574,f469]) ).
fof(f1139,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK27(sK64(X0,X1)) ),
inference(resolution,[],[f574,f477]) ).
fof(f1138,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK28(sK64(X0,X1)) ),
inference(resolution,[],[f574,f479]) ).
fof(f1137,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
inference(resolution,[],[f574,f571]) ).
fof(f1136,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f574,f572]) ).
fof(f574,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f844,plain,
( nil = sK20
| hd(sK20) = sK27(sK20) ),
inference(resolution,[],[f477,f387]) ).
fof(f1107,plain,
( hd(sK20) = sK27(sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f873,f392]) ).
fof(f873,plain,
( nil = sK20
| hd(sK22) = sK27(sK22) ),
inference(forward_demodulation,[],[f846,f392]) ).
fof(f846,plain,
( nil = sK22
| hd(sK22) = sK27(sK22) ),
inference(resolution,[],[f477,f389]) ).
fof(f885,plain,
( nil = sK20
| tl(sK20) = sK28(sK20) ),
inference(resolution,[],[f479,f387]) ).
fof(f1106,plain,
( tl(sK20) = sK28(sK20)
| nil = sK20 ),
inference(forward_demodulation,[],[f914,f392]) ).
fof(f914,plain,
( nil = sK20
| tl(sK22) = sK28(sK22) ),
inference(forward_demodulation,[],[f887,f392]) ).
fof(f887,plain,
( nil = sK22
| tl(sK22) = sK28(sK22) ),
inference(resolution,[],[f479,f389]) ).
fof(f845,plain,
( nil = sK21
| hd(sK21) = sK27(sK21) ),
inference(resolution,[],[f477,f388]) ).
fof(f1104,plain,
( hd(sK21) = sK27(sK21)
| nil = sK21 ),
inference(forward_demodulation,[],[f876,f391]) ).
fof(f876,plain,
( nil = sK21
| hd(sK23) = sK27(sK23) ),
inference(forward_demodulation,[],[f847,f391]) ).
fof(f847,plain,
( nil = sK23
| hd(sK23) = sK27(sK23) ),
inference(resolution,[],[f477,f390]) ).
fof(f886,plain,
( nil = sK21
| tl(sK21) = sK28(sK21) ),
inference(resolution,[],[f479,f388]) ).
fof(f1103,plain,
( tl(sK21) = sK28(sK21)
| nil = sK21 ),
inference(forward_demodulation,[],[f917,f391]) ).
fof(f917,plain,
( nil = sK21
| tl(sK23) = sK28(sK23) ),
inference(forward_demodulation,[],[f888,f391]) ).
fof(f888,plain,
( nil = sK23
| tl(sK23) = sK28(sK23) ),
inference(resolution,[],[f479,f390]) ).
fof(f1089,plain,
( memberP(sK20,sK29(sK20))
| ~ ssItem(sK29(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1088,f406]) ).
fof(f1088,plain,
( memberP(sK20,sK29(sK20))
| ~ ssList(nil)
| ~ ssItem(sK29(sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(superposition,[],[f645,f1072]) ).
fof(f1072,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f1071,f387]) ).
fof(f1071,plain,
( sK20 = cons(sK29(sK20),nil)
| ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(resolution,[],[f1070,f481]) ).
fof(f1067,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK29(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1065]) ).
fof(f1065,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK29(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f623,f481]) ).
fof(f623,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f482]) ).
fof(f482,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,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])],[f291,f292]) ).
fof(f292,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK29(X0),nil) = X0
& ssItem(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f290]) ).
fof(f290,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(f1063,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK20)
| ~ sP1(cons(sK71,sK20),X0) ),
inference(superposition,[],[f447,f1058]) ).
fof(f1062,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK20)
| ~ sP3(cons(sK71,sK20),X0) ),
inference(superposition,[],[f455,f1058]) ).
fof(f1058,plain,
sK71 = hd(cons(sK71,sK20)),
inference(resolution,[],[f958,f613]) ).
fof(f1060,plain,
! [X0] :
( leq(X0,sK70)
| nil = cons(sK70,sK20)
| ~ sP1(cons(sK70,sK20),X0) ),
inference(superposition,[],[f447,f1057]) ).
fof(f1059,plain,
! [X0] :
( lt(X0,sK70)
| nil = cons(sK70,sK20)
| ~ sP3(cons(sK70,sK20),X0) ),
inference(superposition,[],[f455,f1057]) ).
fof(f1057,plain,
sK70 = hd(cons(sK70,sK20)),
inference(resolution,[],[f958,f612]) ).
fof(f1042,plain,
! [X0] :
( sK29(X0) = hd(cons(sK29(X0),sK20))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f958,f480]) ).
fof(f1041,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f958,f476]) ).
fof(f1040,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f958,f471]) ).
fof(f1037,plain,
! [X0,X1] :
( sK19(X0,X1) = hd(cons(sK19(X0,X1),sK20))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f958,f383]) ).
fof(f1036,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f958,f473]) ).
fof(f958,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ),
inference(resolution,[],[f572,f387]) ).
fof(f1033,plain,
sK21 = tl(cons(sK71,sK21)),
inference(resolution,[],[f927,f613]) ).
fof(f1032,plain,
sK21 = tl(cons(sK70,sK21)),
inference(resolution,[],[f927,f612]) ).
fof(f1017,plain,
! [X0] :
( sK21 = tl(cons(sK29(X0),sK21))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f927,f480]) ).
fof(f1016,plain,
! [X0] :
( sK21 = tl(cons(sK27(X0),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f927,f476]) ).
fof(f1015,plain,
! [X0] :
( sK21 = tl(cons(sK26(X0),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f927,f471]) ).
fof(f1012,plain,
! [X0,X1] :
( sK21 = tl(cons(sK19(X0,X1),sK21))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f927,f383]) ).
fof(f1011,plain,
! [X0] :
( sK21 = tl(cons(hd(X0),sK21))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f927,f473]) ).
fof(f927,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ),
inference(resolution,[],[f571,f388]) ).
fof(f1008,plain,
sK20 = tl(cons(sK71,sK20)),
inference(resolution,[],[f926,f613]) ).
fof(f1007,plain,
sK20 = tl(cons(sK70,sK20)),
inference(resolution,[],[f926,f612]) ).
fof(f992,plain,
! [X0] :
( sK20 = tl(cons(sK29(X0),sK20))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f926,f480]) ).
fof(f991,plain,
! [X0] :
( sK20 = tl(cons(sK27(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f926,f476]) ).
fof(f990,plain,
! [X0] :
( sK20 = tl(cons(sK26(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f926,f471]) ).
fof(f987,plain,
! [X0,X1] :
( sK20 = tl(cons(sK19(X0,X1),sK20))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f926,f383]) ).
fof(f986,plain,
! [X0] :
( sK20 = tl(cons(hd(X0),sK20))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f926,f473]) ).
fof(f926,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ),
inference(resolution,[],[f571,f387]) ).
fof(f983,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK63(X1))) = X0
| sP17(X1) ),
inference(resolution,[],[f572,f558]) ).
fof(f982,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP17(X1) ),
inference(resolution,[],[f572,f557]) ).
fof(f981,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK61(X1))) = X0
| sP17(X1) ),
inference(resolution,[],[f572,f556]) ).
fof(f980,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK58(X1))) = X0
| sP15(X1) ),
inference(resolution,[],[f572,f547]) ).
fof(f979,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP15(X1) ),
inference(resolution,[],[f572,f546]) ).
fof(f978,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK56(X1))) = X0
| sP15(X1) ),
inference(resolution,[],[f572,f545]) ).
fof(f977,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK53(X1))) = X0
| sP13(X1) ),
inference(resolution,[],[f572,f535]) ).
fof(f976,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP13(X1) ),
inference(resolution,[],[f572,f534]) ).
fof(f975,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK51(X1))) = X0
| sP13(X1) ),
inference(resolution,[],[f572,f533]) ).
fof(f974,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK48(X1))) = X0
| sP11(X1) ),
inference(resolution,[],[f572,f523]) ).
fof(f973,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP11(X1) ),
inference(resolution,[],[f572,f522]) ).
fof(f972,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK46(X1))) = X0
| sP11(X1) ),
inference(resolution,[],[f572,f521]) ).
fof(f971,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(X1))) = X0
| sP9(X1) ),
inference(resolution,[],[f572,f511]) ).
fof(f970,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP9(X1) ),
inference(resolution,[],[f572,f510]) ).
fof(f969,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK41(X1))) = X0
| sP9(X1) ),
inference(resolution,[],[f572,f509]) ).
fof(f968,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK38(X1))) = X0
| sP7(X1) ),
inference(resolution,[],[f572,f500]) ).
fof(f967,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP7(X1) ),
inference(resolution,[],[f572,f499]) ).
fof(f966,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK36(X1))) = X0
| sP7(X1) ),
inference(resolution,[],[f572,f498]) ).
fof(f965,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK33(X1))) = X0
| sP5(X1) ),
inference(resolution,[],[f572,f489]) ).
fof(f964,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK32(X1))) = X0
| sP5(X1) ),
inference(resolution,[],[f572,f488]) ).
fof(f963,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK28(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f572,f478]) ).
fof(f962,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK25(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f572,f470]) ).
fof(f985,plain,
! [X0] :
( hd(cons(X0,sK21)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f961,f391]) ).
fof(f961,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23)) = X0 ),
inference(resolution,[],[f572,f390]) ).
fof(f984,plain,
! [X0] :
( hd(cons(X0,sK20)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f960,f392]) ).
fof(f960,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22)) = X0 ),
inference(resolution,[],[f572,f389]) ).
fof(f957,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f572,f474]) ).
fof(f955,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f572,f578]) ).
fof(f954,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f572,f568]) ).
fof(f951,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK63(X1) = tl(cons(X0,sK63(X1)))
| sP17(X1) ),
inference(resolution,[],[f571,f558]) ).
fof(f950,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK62(X1) = tl(cons(X0,sK62(X1)))
| sP17(X1) ),
inference(resolution,[],[f571,f557]) ).
fof(f949,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK61(X1) = tl(cons(X0,sK61(X1)))
| sP17(X1) ),
inference(resolution,[],[f571,f556]) ).
fof(f948,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK58(X1) = tl(cons(X0,sK58(X1)))
| sP15(X1) ),
inference(resolution,[],[f571,f547]) ).
fof(f947,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK57(X1) = tl(cons(X0,sK57(X1)))
| sP15(X1) ),
inference(resolution,[],[f571,f546]) ).
fof(f946,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK56(X1) = tl(cons(X0,sK56(X1)))
| sP15(X1) ),
inference(resolution,[],[f571,f545]) ).
fof(f945,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK53(X1) = tl(cons(X0,sK53(X1)))
| sP13(X1) ),
inference(resolution,[],[f571,f535]) ).
fof(f944,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK52(X1) = tl(cons(X0,sK52(X1)))
| sP13(X1) ),
inference(resolution,[],[f571,f534]) ).
fof(f943,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK51(X1) = tl(cons(X0,sK51(X1)))
| sP13(X1) ),
inference(resolution,[],[f571,f533]) ).
fof(f942,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK48(X1) = tl(cons(X0,sK48(X1)))
| sP11(X1) ),
inference(resolution,[],[f571,f523]) ).
fof(f941,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK47(X1) = tl(cons(X0,sK47(X1)))
| sP11(X1) ),
inference(resolution,[],[f571,f522]) ).
fof(f940,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK46(X1) = tl(cons(X0,sK46(X1)))
| sP11(X1) ),
inference(resolution,[],[f571,f521]) ).
fof(f939,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK43(X1) = tl(cons(X0,sK43(X1)))
| sP9(X1) ),
inference(resolution,[],[f571,f511]) ).
fof(f938,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK42(X1) = tl(cons(X0,sK42(X1)))
| sP9(X1) ),
inference(resolution,[],[f571,f510]) ).
fof(f937,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK41(X1) = tl(cons(X0,sK41(X1)))
| sP9(X1) ),
inference(resolution,[],[f571,f509]) ).
fof(f936,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK38(X1) = tl(cons(X0,sK38(X1)))
| sP7(X1) ),
inference(resolution,[],[f571,f500]) ).
fof(f935,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK37(X1) = tl(cons(X0,sK37(X1)))
| sP7(X1) ),
inference(resolution,[],[f571,f499]) ).
fof(f934,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK36(X1) = tl(cons(X0,sK36(X1)))
| sP7(X1) ),
inference(resolution,[],[f571,f498]) ).
fof(f933,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK33(X1) = tl(cons(X0,sK33(X1)))
| sP5(X1) ),
inference(resolution,[],[f571,f489]) ).
fof(f932,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK32(X1) = tl(cons(X0,sK32(X1)))
| sP5(X1) ),
inference(resolution,[],[f571,f488]) ).
fof(f931,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK28(X1) = tl(cons(X0,sK28(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f478]) ).
fof(f930,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK25(X1) = tl(cons(X0,sK25(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f470]) ).
fof(f953,plain,
! [X0] :
( sK21 = tl(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f929,f391]) ).
fof(f929,plain,
! [X0] :
( ~ ssItem(X0)
| sK23 = tl(cons(X0,sK23)) ),
inference(resolution,[],[f571,f390]) ).
fof(f952,plain,
! [X0] :
( sK20 = tl(cons(X0,sK20))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f928,f392]) ).
fof(f928,plain,
! [X0] :
( ~ ssItem(X0)
| sK22 = tl(cons(X0,sK22)) ),
inference(resolution,[],[f571,f389]) ).
fof(f925,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f474]) ).
fof(f923,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f578]) ).
fof(f922,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f571,f568]) ).
fof(f571,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(f481,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK29(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f912,plain,
( tl(sK20) = sK28(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f885,f805]) ).
fof(f910,plain,
! [X0] :
( nil = sK63(X0)
| tl(sK63(X0)) = sK28(sK63(X0))
| sP17(X0) ),
inference(resolution,[],[f479,f558]) ).
fof(f909,plain,
! [X0] :
( nil = sK62(X0)
| tl(sK62(X0)) = sK28(sK62(X0))
| sP17(X0) ),
inference(resolution,[],[f479,f557]) ).
fof(f908,plain,
! [X0] :
( nil = sK61(X0)
| tl(sK61(X0)) = sK28(sK61(X0))
| sP17(X0) ),
inference(resolution,[],[f479,f556]) ).
fof(f907,plain,
! [X0] :
( nil = sK58(X0)
| tl(sK58(X0)) = sK28(sK58(X0))
| sP15(X0) ),
inference(resolution,[],[f479,f547]) ).
fof(f906,plain,
! [X0] :
( nil = sK57(X0)
| tl(sK57(X0)) = sK28(sK57(X0))
| sP15(X0) ),
inference(resolution,[],[f479,f546]) ).
fof(f905,plain,
! [X0] :
( nil = sK56(X0)
| tl(sK56(X0)) = sK28(sK56(X0))
| sP15(X0) ),
inference(resolution,[],[f479,f545]) ).
fof(f904,plain,
! [X0] :
( nil = sK53(X0)
| tl(sK53(X0)) = sK28(sK53(X0))
| sP13(X0) ),
inference(resolution,[],[f479,f535]) ).
fof(f903,plain,
! [X0] :
( nil = sK52(X0)
| tl(sK52(X0)) = sK28(sK52(X0))
| sP13(X0) ),
inference(resolution,[],[f479,f534]) ).
fof(f902,plain,
! [X0] :
( nil = sK51(X0)
| tl(sK51(X0)) = sK28(sK51(X0))
| sP13(X0) ),
inference(resolution,[],[f479,f533]) ).
fof(f901,plain,
! [X0] :
( nil = sK48(X0)
| tl(sK48(X0)) = sK28(sK48(X0))
| sP11(X0) ),
inference(resolution,[],[f479,f523]) ).
fof(f900,plain,
! [X0] :
( nil = sK47(X0)
| tl(sK47(X0)) = sK28(sK47(X0))
| sP11(X0) ),
inference(resolution,[],[f479,f522]) ).
fof(f899,plain,
! [X0] :
( nil = sK46(X0)
| tl(sK46(X0)) = sK28(sK46(X0))
| sP11(X0) ),
inference(resolution,[],[f479,f521]) ).
fof(f898,plain,
! [X0] :
( nil = sK43(X0)
| tl(sK43(X0)) = sK28(sK43(X0))
| sP9(X0) ),
inference(resolution,[],[f479,f511]) ).
fof(f897,plain,
! [X0] :
( nil = sK42(X0)
| tl(sK42(X0)) = sK28(sK42(X0))
| sP9(X0) ),
inference(resolution,[],[f479,f510]) ).
fof(f896,plain,
! [X0] :
( nil = sK41(X0)
| tl(sK41(X0)) = sK28(sK41(X0))
| sP9(X0) ),
inference(resolution,[],[f479,f509]) ).
fof(f895,plain,
! [X0] :
( nil = sK38(X0)
| tl(sK38(X0)) = sK28(sK38(X0))
| sP7(X0) ),
inference(resolution,[],[f479,f500]) ).
fof(f894,plain,
! [X0] :
( nil = sK37(X0)
| tl(sK37(X0)) = sK28(sK37(X0))
| sP7(X0) ),
inference(resolution,[],[f479,f499]) ).
fof(f893,plain,
! [X0] :
( nil = sK36(X0)
| tl(sK36(X0)) = sK28(sK36(X0))
| sP7(X0) ),
inference(resolution,[],[f479,f498]) ).
fof(f892,plain,
! [X0] :
( nil = sK33(X0)
| tl(sK33(X0)) = sK28(sK33(X0))
| sP5(X0) ),
inference(resolution,[],[f479,f489]) ).
fof(f891,plain,
! [X0] :
( nil = sK32(X0)
| tl(sK32(X0)) = sK28(sK32(X0))
| sP5(X0) ),
inference(resolution,[],[f479,f488]) ).
fof(f890,plain,
! [X0] :
( nil = sK28(X0)
| tl(sK28(X0)) = sK28(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f479,f478]) ).
fof(f889,plain,
! [X0] :
( nil = sK25(X0)
| tl(sK25(X0)) = sK28(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f479,f470]) ).
fof(f916,plain,
( tl(sK20) = sK28(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f915,f392]) ).
fof(f915,plain,
( tl(sK22) = sK28(sK22)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f914,f805]) ).
fof(f884,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK28(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f479,f474]) ).
fof(f882,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK28(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f479,f578]) ).
fof(f911,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f881,f569]) ).
fof(f881,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f479,f568]) ).
fof(f479,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK28(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( tl(X0) = sK28(X0)
& ssList(sK28(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f160,f288]) ).
fof(f288,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(f871,plain,
( hd(sK20) = sK27(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f844,f805]) ).
fof(f869,plain,
! [X0] :
( nil = sK63(X0)
| hd(sK63(X0)) = sK27(sK63(X0))
| sP17(X0) ),
inference(resolution,[],[f477,f558]) ).
fof(f868,plain,
! [X0] :
( nil = sK62(X0)
| hd(sK62(X0)) = sK27(sK62(X0))
| sP17(X0) ),
inference(resolution,[],[f477,f557]) ).
fof(f867,plain,
! [X0] :
( nil = sK61(X0)
| hd(sK61(X0)) = sK27(sK61(X0))
| sP17(X0) ),
inference(resolution,[],[f477,f556]) ).
fof(f866,plain,
! [X0] :
( nil = sK58(X0)
| hd(sK58(X0)) = sK27(sK58(X0))
| sP15(X0) ),
inference(resolution,[],[f477,f547]) ).
fof(f865,plain,
! [X0] :
( nil = sK57(X0)
| hd(sK57(X0)) = sK27(sK57(X0))
| sP15(X0) ),
inference(resolution,[],[f477,f546]) ).
fof(f864,plain,
! [X0] :
( nil = sK56(X0)
| hd(sK56(X0)) = sK27(sK56(X0))
| sP15(X0) ),
inference(resolution,[],[f477,f545]) ).
fof(f863,plain,
! [X0] :
( nil = sK53(X0)
| hd(sK53(X0)) = sK27(sK53(X0))
| sP13(X0) ),
inference(resolution,[],[f477,f535]) ).
fof(f862,plain,
! [X0] :
( nil = sK52(X0)
| hd(sK52(X0)) = sK27(sK52(X0))
| sP13(X0) ),
inference(resolution,[],[f477,f534]) ).
fof(f861,plain,
! [X0] :
( nil = sK51(X0)
| hd(sK51(X0)) = sK27(sK51(X0))
| sP13(X0) ),
inference(resolution,[],[f477,f533]) ).
fof(f860,plain,
! [X0] :
( nil = sK48(X0)
| hd(sK48(X0)) = sK27(sK48(X0))
| sP11(X0) ),
inference(resolution,[],[f477,f523]) ).
fof(f859,plain,
! [X0] :
( nil = sK47(X0)
| hd(sK47(X0)) = sK27(sK47(X0))
| sP11(X0) ),
inference(resolution,[],[f477,f522]) ).
fof(f858,plain,
! [X0] :
( nil = sK46(X0)
| hd(sK46(X0)) = sK27(sK46(X0))
| sP11(X0) ),
inference(resolution,[],[f477,f521]) ).
fof(f857,plain,
! [X0] :
( nil = sK43(X0)
| hd(sK43(X0)) = sK27(sK43(X0))
| sP9(X0) ),
inference(resolution,[],[f477,f511]) ).
fof(f856,plain,
! [X0] :
( nil = sK42(X0)
| hd(sK42(X0)) = sK27(sK42(X0))
| sP9(X0) ),
inference(resolution,[],[f477,f510]) ).
fof(f855,plain,
! [X0] :
( nil = sK41(X0)
| hd(sK41(X0)) = sK27(sK41(X0))
| sP9(X0) ),
inference(resolution,[],[f477,f509]) ).
fof(f854,plain,
! [X0] :
( nil = sK38(X0)
| hd(sK38(X0)) = sK27(sK38(X0))
| sP7(X0) ),
inference(resolution,[],[f477,f500]) ).
fof(f853,plain,
! [X0] :
( nil = sK37(X0)
| hd(sK37(X0)) = sK27(sK37(X0))
| sP7(X0) ),
inference(resolution,[],[f477,f499]) ).
fof(f852,plain,
! [X0] :
( nil = sK36(X0)
| hd(sK36(X0)) = sK27(sK36(X0))
| sP7(X0) ),
inference(resolution,[],[f477,f498]) ).
fof(f851,plain,
! [X0] :
( nil = sK33(X0)
| hd(sK33(X0)) = sK27(sK33(X0))
| sP5(X0) ),
inference(resolution,[],[f477,f489]) ).
fof(f850,plain,
! [X0] :
( nil = sK32(X0)
| hd(sK32(X0)) = sK27(sK32(X0))
| sP5(X0) ),
inference(resolution,[],[f477,f488]) ).
fof(f849,plain,
! [X0] :
( nil = sK28(X0)
| hd(sK28(X0)) = sK27(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f477,f478]) ).
fof(f848,plain,
! [X0] :
( nil = sK25(X0)
| hd(sK25(X0)) = sK27(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f477,f470]) ).
fof(f875,plain,
( hd(sK20) = sK27(sK20)
| ~ spl72_2
| ~ spl72_3 ),
inference(forward_demodulation,[],[f874,f392]) ).
fof(f874,plain,
( hd(sK22) = sK27(sK22)
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f873,f805]) ).
fof(f843,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK27(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f477,f474]) ).
fof(f841,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK27(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f477,f578]) ).
fof(f870,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f840,f569]) ).
fof(f840,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK27(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f477,f568]) ).
fof(f477,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK27(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ( hd(X0) = sK27(X0)
& ssItem(sK27(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27])],[f158,f286]) ).
fof(f286,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(f839,plain,
! [X0,X1] :
( nil = X0
| ~ sP3(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f455,f420]) ).
fof(f838,plain,
! [X0,X1] :
( nil = X0
| ~ sP3(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f455,f430]) ).
fof(f837,plain,
! [X0] :
( nil = X0
| ~ sP3(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f455,f408]) ).
fof(f455,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f452,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP3(X1,X0) )
& ( sP3(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP4(X0,X1) ),
inference(nnf_transformation,[],[f230]) ).
fof(f230,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP3(X1,X0) )
| ~ sP4(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f451,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP3(X1,X0)
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f447,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f444,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP1(X1,X0) )
& ( sP1(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP2(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f227,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP1(X1,X0) )
| ~ sP2(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f443,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP1(X1,X0)
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f430,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,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,[],[f267]) ).
fof(f267,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(f428,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f266,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(f824,plain,
! [X0] :
( sK63(X0) = app(nil,sK63(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f732,f676]) ).
fof(f732,plain,
! [X0] :
( sP17(X0)
| sK63(X0) = app(nil,sK63(X0)) ),
inference(resolution,[],[f469,f558]) ).
fof(f823,plain,
! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f731,f676]) ).
fof(f731,plain,
! [X0] :
( sP17(X0)
| sK62(X0) = app(nil,sK62(X0)) ),
inference(resolution,[],[f469,f557]) ).
fof(f822,plain,
! [X0] :
( sK61(X0) = app(nil,sK61(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f730,f676]) ).
fof(f730,plain,
! [X0] :
( sP17(X0)
| sK61(X0) = app(nil,sK61(X0)) ),
inference(resolution,[],[f469,f556]) ).
fof(f427,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f819,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f729,f674]) ).
fof(f729,plain,
! [X0] :
( sP15(X0)
| sK58(X0) = app(nil,sK58(X0)) ),
inference(resolution,[],[f469,f547]) ).
fof(f818,plain,
! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f728,f674]) ).
fof(f728,plain,
! [X0] :
( sP15(X0)
| sK57(X0) = app(nil,sK57(X0)) ),
inference(resolution,[],[f469,f546]) ).
fof(f817,plain,
! [X0] :
( sK56(X0) = app(nil,sK56(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f727,f674]) ).
fof(f727,plain,
! [X0] :
( sP15(X0)
| sK56(X0) = app(nil,sK56(X0)) ),
inference(resolution,[],[f469,f545]) ).
fof(f726,plain,
! [X0] :
( sP13(X0)
| sK53(X0) = app(nil,sK53(X0)) ),
inference(resolution,[],[f469,f535]) ).
fof(f725,plain,
! [X0] :
( sP13(X0)
| sK52(X0) = app(nil,sK52(X0)) ),
inference(resolution,[],[f469,f534]) ).
fof(f724,plain,
! [X0] :
( sP13(X0)
| sK51(X0) = app(nil,sK51(X0)) ),
inference(resolution,[],[f469,f533]) ).
fof(f723,plain,
! [X0] :
( sP11(X0)
| sK48(X0) = app(nil,sK48(X0)) ),
inference(resolution,[],[f469,f523]) ).
fof(f722,plain,
! [X0] :
( sP11(X0)
| sK47(X0) = app(nil,sK47(X0)) ),
inference(resolution,[],[f469,f522]) ).
fof(f721,plain,
! [X0] :
( sP11(X0)
| sK46(X0) = app(nil,sK46(X0)) ),
inference(resolution,[],[f469,f521]) ).
fof(f720,plain,
! [X0] :
( sP9(X0)
| sK43(X0) = app(nil,sK43(X0)) ),
inference(resolution,[],[f469,f511]) ).
fof(f719,plain,
! [X0] :
( sP9(X0)
| sK42(X0) = app(nil,sK42(X0)) ),
inference(resolution,[],[f469,f510]) ).
fof(f815,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f814]) ).
fof(f814,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f426,f418]) ).
fof(f426,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,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(f718,plain,
! [X0] :
( sP9(X0)
| sK41(X0) = app(nil,sK41(X0)) ),
inference(resolution,[],[f469,f509]) ).
fof(f717,plain,
! [X0] :
( sP7(X0)
| sK38(X0) = app(nil,sK38(X0)) ),
inference(resolution,[],[f469,f500]) ).
fof(f716,plain,
! [X0] :
( sP7(X0)
| sK37(X0) = app(nil,sK37(X0)) ),
inference(resolution,[],[f469,f499]) ).
fof(f715,plain,
! [X0] :
( sP7(X0)
| sK36(X0) = app(nil,sK36(X0)) ),
inference(resolution,[],[f469,f498]) ).
fof(f714,plain,
! [X0] :
( sP5(X0)
| sK33(X0) = app(nil,sK33(X0)) ),
inference(resolution,[],[f469,f489]) ).
fof(f713,plain,
! [X0] :
( sP5(X0)
| sK32(X0) = app(nil,sK32(X0)) ),
inference(resolution,[],[f469,f488]) ).
fof(f812,plain,
! [X0] :
( sK63(X0) = app(sK63(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f705,f676]) ).
fof(f705,plain,
! [X0] :
( sP17(X0)
| sK63(X0) = app(sK63(X0),nil) ),
inference(resolution,[],[f468,f558]) ).
fof(f811,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f704,f676]) ).
fof(f704,plain,
! [X0] :
( sP17(X0)
| sK62(X0) = app(sK62(X0),nil) ),
inference(resolution,[],[f468,f557]) ).
fof(f810,plain,
! [X0] :
( sK61(X0) = app(sK61(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f703,f676]) ).
fof(f703,plain,
! [X0] :
( sP17(X0)
| sK61(X0) = app(sK61(X0),nil) ),
inference(resolution,[],[f468,f556]) ).
fof(f809,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f702,f674]) ).
fof(f702,plain,
! [X0] :
( sP15(X0)
| sK58(X0) = app(sK58(X0),nil) ),
inference(resolution,[],[f468,f547]) ).
fof(f808,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f701,f674]) ).
fof(f701,plain,
! [X0] :
( sP15(X0)
| sK57(X0) = app(sK57(X0),nil) ),
inference(resolution,[],[f468,f546]) ).
fof(f425,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f807,plain,
! [X0] :
( sK56(X0) = app(sK56(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f700,f674]) ).
fof(f700,plain,
! [X0] :
( sP15(X0)
| sK56(X0) = app(sK56(X0),nil) ),
inference(resolution,[],[f468,f545]) ).
fof(f699,plain,
! [X0] :
( sP13(X0)
| sK53(X0) = app(sK53(X0),nil) ),
inference(resolution,[],[f468,f535]) ).
fof(f698,plain,
! [X0] :
( sP13(X0)
| sK52(X0) = app(sK52(X0),nil) ),
inference(resolution,[],[f468,f534]) ).
fof(f697,plain,
! [X0] :
( sP13(X0)
| sK51(X0) = app(sK51(X0),nil) ),
inference(resolution,[],[f468,f533]) ).
fof(f696,plain,
! [X0] :
( sP11(X0)
| sK48(X0) = app(sK48(X0),nil) ),
inference(resolution,[],[f468,f523]) ).
fof(f695,plain,
! [X0] :
( sP11(X0)
| sK47(X0) = app(sK47(X0),nil) ),
inference(resolution,[],[f468,f522]) ).
fof(f694,plain,
! [X0] :
( sP11(X0)
| sK46(X0) = app(sK46(X0),nil) ),
inference(resolution,[],[f468,f521]) ).
fof(f693,plain,
! [X0] :
( sP9(X0)
| sK43(X0) = app(sK43(X0),nil) ),
inference(resolution,[],[f468,f511]) ).
fof(f692,plain,
! [X0] :
( sP9(X0)
| sK42(X0) = app(sK42(X0),nil) ),
inference(resolution,[],[f468,f510]) ).
fof(f691,plain,
! [X0] :
( sP9(X0)
| sK41(X0) = app(sK41(X0),nil) ),
inference(resolution,[],[f468,f509]) ).
fof(f806,plain,
( memberP(sK20,sK19(sK21,sK20))
| ~ spl72_2
| ~ spl72_3 ),
inference(subsumption_resolution,[],[f782,f789]) ).
fof(f420,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(f784,plain,
( nil != sK20
| ~ ssItem(sK19(sK21,nil))
| ~ spl72_2 ),
inference(inner_rewriting,[],[f783]) ).
fof(f418,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(f771,plain,
( equalelemsP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f411,f770]) ).
fof(f786,plain,
( nil != sK20
| ~ ssItem(sK19(sK21,nil))
| ~ spl72_2 ),
inference(inner_rewriting,[],[f785]) ).
fof(f785,plain,
( nil != sK20
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f780,f406]) ).
fof(f780,plain,
( nil != sK20
| ~ ssItem(sK19(sK21,sK20))
| ~ ssList(nil)
| ~ spl72_2 ),
inference(superposition,[],[f569,f770]) ).
fof(f783,plain,
( nil != sK20
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f779,f406]) ).
fof(f779,plain,
( nil != sK20
| ~ ssItem(sK19(sK21,sK20))
| ~ ssList(nil)
| ~ spl72_2 ),
inference(superposition,[],[f570,f770]) ).
fof(f782,plain,
( memberP(sK20,sK19(sK21,sK20))
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(subsumption_resolution,[],[f778,f406]) ).
fof(f778,plain,
( memberP(sK20,sK19(sK21,sK20))
| ~ ssList(nil)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f645,f770]) ).
fof(f777,plain,
( totalorderedP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f417,f770]) ).
fof(f776,plain,
( strictorderedP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f416,f770]) ).
fof(f775,plain,
( strictorderP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f415,f770]) ).
fof(f774,plain,
( totalorderP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f414,f770]) ).
fof(f773,plain,
( cyclefreeP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f413,f770]) ).
fof(f772,plain,
( duplicatefreeP(sK20)
| ~ ssItem(sK19(sK21,sK20))
| ~ spl72_2 ),
inference(superposition,[],[f412,f770]) ).
fof(f770,plain,
( sK20 = cons(sK19(sK21,sK20),nil)
| ~ spl72_2 ),
inference(resolution,[],[f384,f666]) ).
fof(f690,plain,
! [X0] :
( sP7(X0)
| sK38(X0) = app(sK38(X0),nil) ),
inference(resolution,[],[f468,f500]) ).
fof(f689,plain,
! [X0] :
( sP7(X0)
| sK37(X0) = app(sK37(X0),nil) ),
inference(resolution,[],[f468,f499]) ).
fof(f688,plain,
! [X0] :
( sP7(X0)
| sK36(X0) = app(sK36(X0),nil) ),
inference(resolution,[],[f468,f498]) ).
fof(f687,plain,
! [X0] :
( sP5(X0)
| sK33(X0) = app(sK33(X0),nil) ),
inference(resolution,[],[f468,f489]) ).
fof(f686,plain,
! [X0] :
( sP5(X0)
| sK32(X0) = app(sK32(X0),nil) ),
inference(resolution,[],[f468,f488]) ).
fof(f645,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f617]) ).
fof(f617,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f438]) ).
fof(f438,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
fof(f570,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(f569,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(f763,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f578,f468]) ).
fof(f762,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f578,f469]) ).
fof(f578,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(f761,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f568,f468]) ).
fof(f760,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f568,f469]) ).
fof(f568,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(f566,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,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(f564,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,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(f562,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f356,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(f744,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK28(X0) = app(sK28(X0),nil) ),
inference(resolution,[],[f478,f468]) ).
fof(f743,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK28(X0) = app(nil,sK28(X0)) ),
inference(resolution,[],[f478,f469]) ).
fof(f478,plain,
! [X0] :
( ssList(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f476,plain,
! [X0] :
( ssItem(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f742,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f474,f468]) ).
fof(f741,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f474,f469]) ).
fof(f474,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(f473,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(f471,plain,
! [X0] :
( ssItem(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f740,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(sK25(X0),nil) ),
inference(resolution,[],[f470,f468]) ).
fof(f739,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(nil,sK25(X0)) ),
inference(resolution,[],[f470,f469]) ).
fof(f470,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f454,plain,
! [X0,X1] :
( ~ sP3(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f446,plain,
! [X0,X1] :
( ~ sP1(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f736,plain,
! [X0] : ~ sP0(nil,X0),
inference(subsumption_resolution,[],[f735,f383]) ).
fof(f735,plain,
! [X0] :
( ~ sP0(nil,X0)
| ~ ssItem(sK19(nil,X0)) ),
inference(resolution,[],[f385,f407]) ).
fof(f385,plain,
! [X0,X1] :
( memberP(X0,sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f560,plain,
! [X0] :
( ~ lt(sK59(X0),sK60(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ( sP17(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) )
| ~ sP17(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK59,sK60,sK61,sK62,sK63])],[f349,f354,f353,f352,f351,f350]) ).
fof(f350,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(f351,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(f352,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(f353,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(f354,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(f349,plain,
! [X0] :
( ( sP17(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) )
| ~ sP17(X0) ) ),
inference(rectify,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( sP17(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) )
| ~ sP17(X0) ) ),
inference(nnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP17(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,[sP17])]) ).
fof(f549,plain,
! [X0] :
( ~ leq(sK54(X0),sK55(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ( sP15(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) )
| ~ sP15(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK54,sK55,sK56,sK57,sK58])],[f340,f345,f344,f343,f342,f341]) ).
fof(f341,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(f342,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(f343,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(f344,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(f345,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(f340,plain,
! [X0] :
( ( sP15(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) )
| ~ sP15(X0) ) ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP15(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) )
| ~ sP15(X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP15(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,[sP15])]) ).
fof(f538,plain,
! [X0] :
( leq(sK50(X0),sK49(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ( sP13(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) )
| ~ sP13(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK49,sK50,sK51,sK52,sK53])],[f331,f336,f335,f334,f333,f332]) ).
fof(f332,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(f333,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(f334,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(f335,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(f336,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(f331,plain,
! [X0] :
( ( sP13(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) )
| ~ sP13(X0) ) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( sP13(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) )
| ~ sP13(X0) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP13(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,[sP13])]) ).
fof(f537,plain,
! [X0] :
( leq(sK49(X0),sK50(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f526,plain,
! [X0] :
( ~ lt(sK45(X0),sK44(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( sP11(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) )
| ~ sP11(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK44,sK45,sK46,sK47,sK48])],[f322,f327,f326,f325,f324,f323]) ).
fof(f323,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(f324,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(f325,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(f326,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(f327,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(f322,plain,
! [X0] :
( ( sP11(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) )
| ~ sP11(X0) ) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP11(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) )
| ~ sP11(X0) ) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP11(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,[sP11])]) ).
fof(f525,plain,
! [X0] :
( ~ lt(sK44(X0),sK45(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f514,plain,
! [X0] :
( ~ leq(sK40(X0),sK39(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( sP9(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) )
| ~ sP9(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK39,sK40,sK41,sK42,sK43])],[f313,f318,f317,f316,f315,f314]) ).
fof(f314,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(f315,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(f316,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(f317,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(f318,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(f313,plain,
! [X0] :
( ( sP9(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) )
| ~ sP9(X0) ) ),
inference(rectify,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( sP9(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) )
| ~ sP9(X0) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP9(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,[sP9])]) ).
fof(f513,plain,
! [X0] :
( ~ leq(sK39(X0),sK40(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f502,plain,
! [X0] :
( sP7(X0)
| sK34(X0) = sK35(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ( sP7(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) )
| ~ sP7(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK34,sK35,sK36,sK37,sK38])],[f304,f309,f308,f307,f306,f305]) ).
fof(f305,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(f306,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(f307,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(f308,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(f309,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(f304,plain,
! [X0] :
( ( sP7(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) )
| ~ sP7(X0) ) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( sP7(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) )
| ~ sP7(X0) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP7(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,[sP7])]) ).
fof(f491,plain,
! [X0] :
( sK30(X0) != sK31(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f480,plain,
! [X0] :
( ssItem(sK29(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f710,plain,
sK21 = app(nil,sK21),
inference(resolution,[],[f469,f388]) ).
fof(f709,plain,
sK20 = app(nil,sK20),
inference(resolution,[],[f469,f387]) ).
fof(f734,plain,
sK21 = app(nil,sK21),
inference(forward_demodulation,[],[f712,f391]) ).
fof(f712,plain,
sK23 = app(nil,sK23),
inference(resolution,[],[f469,f390]) ).
fof(f733,plain,
sK20 = app(nil,sK20),
inference(forward_demodulation,[],[f711,f392]) ).
fof(f711,plain,
sK22 = app(nil,sK22),
inference(resolution,[],[f469,f389]) ).
fof(f469,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(f683,plain,
sK21 = app(sK21,nil),
inference(resolution,[],[f468,f388]) ).
fof(f682,plain,
sK20 = app(sK20,nil),
inference(resolution,[],[f468,f387]) ).
fof(f707,plain,
sK21 = app(sK21,nil),
inference(forward_demodulation,[],[f685,f391]) ).
fof(f685,plain,
sK23 = app(sK23,nil),
inference(resolution,[],[f468,f390]) ).
fof(f706,plain,
sK20 = app(sK20,nil),
inference(forward_demodulation,[],[f684,f392]) ).
fof(f684,plain,
sK22 = app(sK22,nil),
inference(resolution,[],[f468,f389]) ).
fof(f468,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(f458,plain,
! [X0,X1] :
( sP4(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( sP4(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f139,f230,f229]) ).
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(f450,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP2(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f227,f226]) ).
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(f676,plain,
! [X0] :
( ~ sP17(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f552,f561]) ).
fof(f383,plain,
! [X0,X1] :
( ssItem(sK19(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f675,plain,
! [X0] :
( sP17(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f551,f561]) ).
fof(f674,plain,
! [X0] :
( ~ sP15(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f541,f550]) ).
fof(f673,plain,
! [X0] :
( sP15(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f540,f550]) ).
fof(f672,plain,
! [X0] :
( sP13(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f528,f539]) ).
fof(f671,plain,
! [X0] :
( sP11(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f516,f527]) ).
fof(f670,plain,
! [X0] :
( sP9(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f504,f515]) ).
fof(f669,plain,
! [X0] :
( sP7(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f493,f503]) ).
fof(f668,plain,
! [X0] :
( sP5(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f483,f492]) ).
fof(f552,plain,
! [X0] :
( ~ sP18(X0)
| ~ sP17(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP17(X0) )
& ( sP17(X0)
| ~ strictorderedP(X0) ) )
| ~ sP18(X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP17(X0) )
| ~ sP18(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP18])]) ).
fof(f551,plain,
! [X0] :
( ~ sP18(X0)
| ~ strictorderedP(X0)
| sP17(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f541,plain,
! [X0] :
( ~ sP16(X0)
| ~ sP15(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP15(X0) )
& ( sP15(X0)
| ~ totalorderedP(X0) ) )
| ~ sP16(X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP15(X0) )
| ~ sP16(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f540,plain,
! [X0] :
( ~ sP16(X0)
| ~ totalorderedP(X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f528,plain,
! [X0] :
( ~ sP14(X0)
| ~ cyclefreeP(X0)
| sP13(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP13(X0) )
& ( sP13(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP14(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP13(X0) )
| ~ sP14(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f516,plain,
! [X0] :
( ~ sP12(X0)
| ~ strictorderP(X0)
| sP11(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP11(X0) )
& ( sP11(X0)
| ~ strictorderP(X0) ) )
| ~ sP12(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP11(X0) )
| ~ sP12(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f504,plain,
! [X0] :
( ~ sP10(X0)
| ~ totalorderP(X0)
| sP9(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP9(X0) )
& ( sP9(X0)
| ~ totalorderP(X0) ) )
| ~ sP10(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP9(X0) )
| ~ sP10(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f493,plain,
! [X0] :
( ~ sP8(X0)
| ~ duplicatefreeP(X0)
| sP7(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP7(X0) )
& ( sP7(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP8(X0) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP7(X0) )
| ~ sP8(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f483,plain,
! [X0] :
( ~ sP6(X0)
| ~ equalelemsP(X0)
| sP5(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP5(X0) )
& ( sP5(X0)
| ~ equalelemsP(X0) ) )
| ~ sP6(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP5(X0) )
| ~ sP6(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f417,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(f416,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(f415,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(f414,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(f413,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(f412,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(f411,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(f650,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f386,f385,f384,f383,f397,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f426,f425,f428,f427,f431,f430,f646,f432,f433,f434,f435,f436,f439,f645,f437,f644,f441,f440,f444,f443,f449,f619,f447,f446,f450,f452,f451,f457,f621,f455,f454,f458,f461,f460,f459,f462,f463,f464,f465,f466,f467,f468,f469,f472,f471,f470,f473,f474,f475,f477,f476,f479,f478,f623,f481,f480,f483,f491,f490,f489,f488,f487,f486,f624,f492,f493,f502,f501,f500,f499,f498,f497,f496,f643,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f627,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f628,f527,f528,f538,f537,f536,f535,f534,f533,f532,f531,f629,f539,f541,f540,f549,f548,f547,f546,f545,f544,f543,f630,f550,f552,f551,f560,f559,f558,f557,f556,f555,f554,f631,f561,f632,f647,f562,f633,f648,f564,f634,f649,f566,f568,f569,f570,f571,f572,f573,f635,f576,f575,f574,f578,f579,f580,f581,f582,f583,f584,f637,f588,f587,f638,f592,f591,f590,f639,f595,f594,f642]) ).
fof(f558,plain,
! [X0] :
( ssList(sK63(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f557,plain,
! [X0] :
( ssList(sK62(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f556,plain,
! [X0] :
( ssList(sK61(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f555,plain,
! [X0] :
( ssItem(sK60(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f554,plain,
! [X0] :
( ssItem(sK59(X0))
| sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f547,plain,
! [X0] :
( ssList(sK58(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f546,plain,
! [X0] :
( ssList(sK57(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f545,plain,
! [X0] :
( ssList(sK56(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f544,plain,
! [X0] :
( ssItem(sK55(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f543,plain,
! [X0] :
( ssItem(sK54(X0))
| sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f535,plain,
! [X0] :
( ssList(sK53(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f534,plain,
! [X0] :
( ssList(sK52(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f533,plain,
! [X0] :
( ssList(sK51(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f532,plain,
! [X0] :
( ssItem(sK50(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f531,plain,
! [X0] :
( ssItem(sK49(X0))
| sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f523,plain,
! [X0] :
( ssList(sK48(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f522,plain,
! [X0] :
( ssList(sK47(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f521,plain,
! [X0] :
( ssList(sK46(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f520,plain,
! [X0] :
( ssItem(sK45(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f519,plain,
! [X0] :
( ssItem(sK44(X0))
| sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f511,plain,
! [X0] :
( ssList(sK43(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f510,plain,
! [X0] :
( ssList(sK42(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f509,plain,
! [X0] :
( ssList(sK41(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f508,plain,
! [X0] :
( ssItem(sK40(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f507,plain,
! [X0] :
( ssItem(sK39(X0))
| sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f500,plain,
! [X0] :
( ssList(sK38(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0] :
( ssList(sK37(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f498,plain,
! [X0] :
( ssList(sK36(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f497,plain,
! [X0] :
( ssItem(sK35(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f496,plain,
! [X0] :
( ssItem(sK34(X0))
| sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f489,plain,
! [X0] :
( ssList(sK33(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0] :
( ssList(sK32(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK31(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f486,plain,
! [X0] :
( ssItem(sK30(X0))
| sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f467,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(f466,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(f465,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(f464,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(f463,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(f462,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(f410,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(f409,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(f408,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(f655,plain,
( sP0(sK21,sK20)
| nil = sK21 ),
inference(forward_demodulation,[],[f654,f391]) ).
fof(f654,plain,
( sP0(sK23,sK20)
| nil = sK21 ),
inference(forward_demodulation,[],[f653,f392]) ).
fof(f653,plain,
( nil = sK21
| sP0(sK23,sK22) ),
inference(forward_demodulation,[],[f396,f391]) ).
fof(f561,plain,
! [X0] :
( sP18(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( sP18(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f175,f251,f250]) ).
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(f550,plain,
! [X0] :
( sP16(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP16(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f173,f248,f247]) ).
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(f539,plain,
! [X0] :
( sP14(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP14(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f171,f245,f244]) ).
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(f527,plain,
! [X0] :
( sP12(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP12(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f169,f242,f241]) ).
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(f515,plain,
! [X0] :
( sP10(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP10(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f167,f239,f238]) ).
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(f503,plain,
! [X0] :
( sP8(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP8(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f165,f236,f235]) ).
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(f492,plain,
! [X0] :
( sP6(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP6(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f163,f233,f232]) ).
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(f649,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f386,f385,f384,f383,f397,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f426,f425,f428,f427,f431,f430,f646,f432,f433,f434,f435,f436,f439,f645,f437,f644,f441,f440,f444,f443,f449,f619,f447,f446,f450,f452,f451,f457,f621,f455,f454,f458,f461,f460,f459,f462,f463,f464,f465,f466,f467,f468,f469,f472,f471,f470,f473,f474,f475,f477,f476,f479,f478,f623,f481,f480,f483,f491,f490,f489,f488,f487,f486,f624,f492,f493,f502,f501,f500,f499,f498,f497,f496,f643,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f627,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f628,f527,f528,f538,f537,f536,f535,f534,f533,f532,f531,f629,f539,f541,f540,f549,f548,f547,f546,f545,f544,f543,f630,f550,f552,f551,f560,f559,f558,f557,f556,f555,f554,f631,f561,f632,f647,f562,f633,f648,f564,f634]) ).
fof(f648,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f386,f385,f384,f383,f397,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f426,f425,f428,f427,f431,f430,f646,f432,f433,f434,f435,f436,f439,f645,f437,f644,f441,f440,f444,f443,f449,f619,f447,f446,f450,f452,f451,f457,f621,f455,f454,f458,f461,f460,f459,f462,f463,f464,f465,f466,f467,f468,f469,f472,f471,f470,f473,f474,f475,f477,f476,f479,f478,f623,f481,f480,f483,f491,f490,f489,f488,f487,f486,f624,f492,f493,f502,f501,f500,f499,f498,f497,f496,f643,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f627,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f628,f527,f528,f538,f537,f536,f535,f534,f533,f532,f531,f629,f539,f541,f540,f549,f548,f547,f546,f545,f544,f543,f630,f550,f552,f551,f560,f559,f558,f557,f556,f555,f554,f631,f561,f632,f647,f562,f633]) ).
fof(f647,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f386,f385,f384,f383,f397,f396,f395,f394,f393,f392,f391,f390,f389,f388,f387,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f413,f414,f415,f416,f417,f418,f419,f420,f421,f422,f426,f425,f428,f427,f431,f430,f646,f432,f433,f434,f435,f436,f439,f645,f437,f644,f441,f440,f444,f443,f449,f619,f447,f446,f450,f452,f451,f457,f621,f455,f454,f458,f461,f460,f459,f462,f463,f464,f465,f466,f467,f468,f469,f472,f471,f470,f473,f474,f475,f477,f476,f479,f478,f623,f481,f480,f483,f491,f490,f489,f488,f487,f486,f624,f492,f493,f502,f501,f500,f499,f498,f497,f496,f643,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f627,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f628,f527,f528,f538,f537,f536,f535,f534,f533,f532,f531,f629,f539,f541,f540,f549,f548,f547,f546,f545,f544,f543,f630,f550,f552,f551,f560,f559,f558,f557,f556,f555,f554,f631,f561,f632]) ).
fof(f621,plain,
! [X1] : sP3(nil,X1),
inference(equality_resolution,[],[f456]) ).
fof(f456,plain,
! [X0,X1] :
( sP3(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f619,plain,
! [X1] : sP1(nil,X1),
inference(equality_resolution,[],[f448]) ).
fof(f448,plain,
! [X0,X1] :
( sP1(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f614,plain,
sK70 != sK71,
inference(cnf_transformation,[],[f382]) ).
fof(f382,plain,
( sK70 != sK71
& ssItem(sK71)
& ssItem(sK70) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70,sK71])],[f2,f381,f380]) ).
fof(f380,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK70 != X1
& ssItem(X1) )
& ssItem(sK70) ) ),
introduced(choice_axiom,[]) ).
fof(f381,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(f392,plain,
sK20 = sK22,
inference(cnf_transformation,[],[f263]) ).
fof(f391,plain,
sK21 = sK23,
inference(cnf_transformation,[],[f263]) ).
fof(f613,plain,
ssItem(sK71),
inference(cnf_transformation,[],[f382]) ).
fof(f612,plain,
ssItem(sK70),
inference(cnf_transformation,[],[f382]) ).
fof(f405,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f404,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f403,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f402,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f401,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f400,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f399,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f398,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax39) ).
fof(f390,plain,
ssList(sK23),
inference(cnf_transformation,[],[f263]) ).
fof(f389,plain,
ssList(sK22),
inference(cnf_transformation,[],[f263]) ).
fof(f388,plain,
ssList(sK21),
inference(cnf_transformation,[],[f263]) ).
fof(f387,plain,
ssList(sK20),
inference(cnf_transformation,[],[f263]) ).
fof(f611,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(f603,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(f601,plain,
! [X2,X3,X0,X1] :
( X2 = X3
| cons(X2,X0) != cons(X3,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(f602,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| cons(X2,X0) != cons(X3,X1)
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f600,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(f642,plain,
( nil = app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f641]) ).
fof(f641,plain,
( nil = app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f640]) ).
fof(f640,plain,
! [X1] :
( nil = app(nil,X1)
| nil != X1
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f599]) ).
fof(f599,plain,
! [X0,X1] :
( nil = app(X0,X1)
| nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
fof(f639,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f596]) ).
fof(f596,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f592,plain,
! [X0,X1] :
( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f638,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,[],[f593]) ).
fof(f593,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,[],[f373]) ).
fof(f637,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f589]) ).
fof(f589,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f581,plain,
! [X0,X1] :
( X0 = X1
| tl(X0) != tl(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(f576,plain,
! [X0,X1] :
( app(sK64(X0,X1),cons(X1,sK65(X0,X1))) = X0
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f635,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,[],[f577]) ).
fof(f577,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,[],[f363]) ).
fof(f634,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f567]) ).
fof(f567,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f633,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f565]) ).
fof(f565,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f632,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f563]) ).
fof(f563,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f356]) ).
fof(f631,plain,
! [X10,X8,X6,X9,X7] :
( lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP17(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f553]) ).
fof(f553,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)
| ~ sP17(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f559,plain,
! [X0] :
( sP17(X0)
| app(app(sK61(X0),cons(sK59(X0),sK62(X0))),cons(sK60(X0),sK63(X0))) = X0 ),
inference(cnf_transformation,[],[f355]) ).
fof(f630,plain,
! [X10,X8,X6,X9,X7] :
( leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP15(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f542]) ).
fof(f542,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)
| ~ sP15(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f548,plain,
! [X0] :
( sP15(X0)
| app(app(sK56(X0),cons(sK54(X0),sK57(X0))),cons(sK55(X0),sK58(X0))) = X0 ),
inference(cnf_transformation,[],[f346]) ).
fof(f629,plain,
! [X10,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP13(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f530]) ).
fof(f530,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)
| ~ sP13(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f536,plain,
! [X0] :
( sP13(X0)
| app(app(sK51(X0),cons(sK49(X0),sK52(X0))),cons(sK50(X0),sK53(X0))) = X0 ),
inference(cnf_transformation,[],[f337]) ).
fof(f628,plain,
! [X10,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP11(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f518]) ).
fof(f518,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)
| ~ sP11(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f524,plain,
! [X0] :
( sP11(X0)
| app(app(sK46(X0),cons(sK44(X0),sK47(X0))),cons(sK45(X0),sK48(X0))) = X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f627,plain,
! [X10,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP9(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f506]) ).
fof(f506,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)
| ~ sP9(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f512,plain,
! [X0] :
( sP9(X0)
| app(app(sK41(X0),cons(sK39(X0),sK42(X0))),cons(sK40(X0),sK43(X0))) = X0 ),
inference(cnf_transformation,[],[f319]) ).
fof(f643,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ sP7(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(duplicate_literal_removal,[],[f626]) ).
fof(f626,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP7(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f625]) ).
fof(f625,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)
| ~ sP7(X0) ),
inference(equality_resolution,[],[f495]) ).
fof(f495,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)
| ~ sP7(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f501,plain,
! [X0] :
( sP7(X0)
| app(app(sK36(X0),cons(sK34(X0),sK37(X0))),cons(sK35(X0),sK38(X0))) = X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f624,plain,
! [X8,X6,X7,X5] :
( X5 = X6
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP5(app(X7,cons(X5,cons(X6,X8)))) ),
inference(equality_resolution,[],[f485]) ).
fof(f485,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP5(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f459,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f440,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,[],[f272]) ).
fof(f272,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,[],[f271]) ).
fof(f271,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(f441,plain,
! [X2,X3,X0,X1] :
( frontsegP(X2,X3)
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f272]) ).
fof(f644,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f618]) ).
fof(f618,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,[],[f442]) ).
fof(f442,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,[],[f272]) ).
fof(f646,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f616]) ).
fof(f616,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f429]) ).
fof(f429,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f431,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f268]) ).
fof(f396,plain,
( nil = sK23
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f263]) ).
fof(f397,plain,
( nil = sK22
| sP0(sK23,sK22) ),
inference(cnf_transformation,[],[f263]) ).
fof(f386,plain,
! [X3,X0,X1] :
( ~ leq(sK19(X0,X1),X3)
| ~ memberP(X0,X3)
| sK19(X0,X1) = X3
| ~ ssItem(X3)
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f256]) ).
fof(f3849,plain,
( nil = sK66(nil,nil)
| ~ spl72_38 ),
inference(avatar_component_clause,[],[f3847]) ).
fof(f3847,plain,
( spl72_38
<=> nil = sK66(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_38])]) ).
fof(f4031,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_22
| ~ spl72_37 ),
inference(avatar_contradiction_clause,[],[f4030]) ).
fof(f4030,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_22
| ~ spl72_37 ),
inference(global_subsumption,[],[f3844,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3152,f3153,f3154,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f3021,f2923,f2740,f1580,f2914,f2913,f2738,f2737,f2043]) ).
fof(f3844,plain,
( ssList(sK66(nil,nil))
| ~ spl72_37 ),
inference(avatar_component_clause,[],[f3843]) ).
fof(f3843,plain,
( spl72_37
<=> ssList(sK66(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_37])]) ).
fof(f4029,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_22
| spl72_26
| ~ spl72_27 ),
inference(avatar_contradiction_clause,[],[f4028]) ).
fof(f4028,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_22
| spl72_26
| ~ spl72_27 ),
inference(global_subsumption,[],[f2121,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3152,f3153,f3154,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f3021,f2923,f2740,f1580,f2914,f2913,f2738,f2737,f2043]) ).
fof(f2121,plain,
( strictorderedP(sK25(sK20))
| spl72_26
| ~ spl72_27 ),
inference(subsumption_resolution,[],[f2120,f2104]) ).
fof(f2104,plain,
( nil != sK25(sK20)
| spl72_26 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f2103,plain,
( spl72_26
<=> nil = sK25(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_26])]) ).
fof(f2120,plain,
( nil = sK25(sK20)
| strictorderedP(sK25(sK20))
| ~ spl72_27 ),
inference(resolution,[],[f2110,f454]) ).
fof(f2110,plain,
( sP3(sK25(sK20),hd(sK20))
| ~ spl72_27 ),
inference(avatar_component_clause,[],[f2108]) ).
fof(f2108,plain,
( spl72_27
<=> sP3(sK25(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_27])]) ).
fof(f4027,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_22
| spl72_26 ),
inference(avatar_contradiction_clause,[],[f4026]) ).
fof(f4026,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_22
| spl72_26 ),
inference(global_subsumption,[],[f2104,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3152,f3153,f3154,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f3021,f2923,f2740,f1580,f2914,f2913,f2738,f2737,f2043]) ).
fof(f4025,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_22 ),
inference(avatar_contradiction_clause,[],[f4024]) ).
fof(f4024,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_22 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f770,f772,f773,f774,f775,f776,f777,f782,f783,f785,f786,f771,f789,f418,f784,f420,f806,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f875,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f871,f479,f911,f882,f884,f916,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f912,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1072,f1089,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f1181,f799,f800,f801,f802,f803,f804,f1070,f666,f805,f1183,f1184,f1221,f575,f1223,f1224,f1225,f1226,f1227,f1228,f1230,f1234,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f988,f1013,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1290,f1327,f1039,f1373,f1374,f1375,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1460,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1456,f1472,f1473,f1470,f1471,f1475,f475,f1562,f1527,f1529,f1567,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f1563,f1577,f1578,f1582,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1719,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f1579,f583,f584,f1038,f2122,f2123,f2124,f2125,f1240,f2127,f2128,f2129,f2130,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f2137,f2190,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f2794,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f2838,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2915,f2935,f2892,f2936,f2939,f2964,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3088,f3089,f3090,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3152,f3153,f3154,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f3021,f2923,f2740,f1580,f2914,f2913,f2738,f2737,f2043]) ).
fof(f4023,plain,
( spl72_22
| ~ spl72_37
| spl72_38 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
fof(f4022,plain,
( $false
| spl72_22
| ~ spl72_37
| spl72_38 ),
inference(global_subsumption,[],[f2043,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f418,f420,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f479,f911,f882,f884,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f575,f1223,f1224,f1225,f1226,f1227,f1228,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1039,f1373,f1374,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f475,f1562,f1527,f1529,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f583,f584,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2892,f2936,f2939,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3089,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3153,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f3848,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f2914,f2913,f2738,f2737,f3844]) ).
fof(f3848,plain,
( nil != sK66(nil,nil)
| spl72_38 ),
inference(avatar_component_clause,[],[f3847]) ).
fof(f4021,plain,
( spl72_26
| ~ spl72_37
| spl72_38 ),
inference(avatar_contradiction_clause,[],[f4020]) ).
fof(f4020,plain,
( $false
| spl72_26
| ~ spl72_37
| spl72_38 ),
inference(global_subsumption,[],[f2104,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f418,f420,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f479,f911,f882,f884,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f575,f1223,f1224,f1225,f1226,f1227,f1228,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1039,f1373,f1374,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f475,f1562,f1527,f1529,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f583,f584,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2892,f2936,f2939,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3089,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3153,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f3848,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f2914,f2913,f2738,f2737,f3844]) ).
fof(f4019,plain,
( spl72_26
| ~ spl72_27
| ~ spl72_37
| spl72_38 ),
inference(avatar_contradiction_clause,[],[f4018]) ).
fof(f4018,plain,
( $false
| spl72_26
| ~ spl72_27
| ~ spl72_37
| spl72_38 ),
inference(global_subsumption,[],[f2121,f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f418,f420,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f479,f911,f882,f884,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f575,f1223,f1224,f1225,f1226,f1227,f1228,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1039,f1373,f1374,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f475,f1562,f1527,f1529,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f583,f584,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2892,f2936,f2939,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3089,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3153,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f3848,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f2914,f2913,f2738,f2737,f3844]) ).
fof(f4017,plain,
( ~ spl72_37
| spl72_38 ),
inference(avatar_contradiction_clause,[],[f4016]) ).
fof(f4016,plain,
( $false
| ~ spl72_37
| spl72_38 ),
inference(global_subsumption,[],[f386,f397,f396,f431,f646,f437,f644,f441,f440,f459,f624,f501,f643,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f635,f576,f581,f637,f638,f592,f639,f642,f600,f602,f601,f603,f611,f387,f388,f389,f390,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f391,f392,f614,f619,f621,f647,f648,f649,f393,f492,f503,f515,f527,f539,f550,f561,f394,f395,f655,f407,f408,f409,f410,f462,f463,f464,f465,f466,f467,f486,f487,f488,f489,f496,f497,f498,f499,f500,f507,f508,f509,f510,f511,f519,f520,f521,f522,f523,f531,f532,f533,f534,f535,f543,f544,f545,f546,f547,f554,f555,f556,f557,f558,f650,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f668,f669,f670,f671,f672,f673,f674,f675,f383,f676,f450,f458,f468,f706,f707,f682,f683,f469,f733,f734,f709,f710,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f385,f736,f446,f454,f470,f739,f740,f471,f473,f474,f741,f742,f476,f478,f743,f744,f562,f564,f566,f568,f760,f761,f578,f762,f763,f569,f570,f645,f686,f687,f688,f689,f690,f384,f418,f420,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f807,f425,f701,f808,f702,f809,f703,f810,f704,f811,f705,f812,f713,f714,f715,f716,f717,f718,f426,f815,f719,f720,f721,f722,f723,f724,f725,f726,f727,f817,f728,f818,f729,f819,f427,f730,f822,f731,f823,f732,f824,f428,f430,f443,f444,f447,f451,f452,f455,f837,f838,f839,f477,f870,f841,f843,f848,f849,f850,f851,f852,f853,f854,f855,f856,f857,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f479,f911,f882,f884,f889,f890,f891,f892,f893,f894,f895,f896,f897,f898,f899,f900,f901,f902,f903,f904,f905,f906,f907,f908,f909,f910,f481,f571,f922,f923,f925,f952,f953,f930,f931,f932,f933,f934,f935,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f946,f947,f948,f949,f950,f951,f572,f954,f955,f957,f984,f985,f962,f963,f964,f965,f966,f967,f968,f969,f970,f971,f972,f973,f974,f975,f976,f977,f978,f979,f980,f981,f982,f983,f926,f986,f987,f990,f991,f992,f1007,f1008,f927,f1011,f1012,f1015,f1016,f1017,f1032,f1033,f958,f1036,f1037,f1040,f1041,f1042,f1057,f1059,f1060,f1058,f1062,f1063,f623,f1067,f1103,f886,f1104,f845,f1106,f885,f1107,f844,f574,f1136,f1137,f1138,f1139,f1140,f1141,f658,f575,f1223,f1224,f1225,f1226,f1227,f1228,f959,f1238,f1239,f1242,f1243,f1244,f1260,f1262,f1263,f587,f1265,f1266,f1267,f1268,f1269,f1270,f1261,f1271,f1272,f590,f1282,f1283,f1284,f1285,f1286,f1287,f989,f1288,f1289,f1292,f1293,f1294,f1310,f1311,f993,f994,f995,f996,f997,f998,f999,f591,f1315,f1316,f1317,f1318,f1319,f1320,f1000,f1001,f1002,f1003,f1321,f1004,f1322,f1005,f1323,f1006,f1324,f1014,f1325,f1326,f1329,f1330,f1331,f1347,f1348,f594,f1352,f1353,f1354,f1355,f1356,f1357,f1018,f1019,f1020,f1021,f1022,f1023,f1024,f1025,f1026,f1027,f1028,f1358,f449,f1360,f1361,f1362,f1364,f1365,f1029,f1368,f1030,f1369,f1031,f1370,f1039,f1373,f1374,f1376,f1377,f1378,f1379,f1381,f1382,f1383,f1384,f1385,f1386,f1387,f1388,f1389,f1390,f1391,f1392,f1393,f1394,f1395,f1397,f1398,f1399,f1400,f1396,f1401,f1402,f1403,f1404,f1043,f1044,f1045,f457,f1406,f1407,f1409,f1410,f1411,f1412,f1046,f1047,f1048,f1049,f1050,f1051,f1052,f1053,f1415,f1054,f1416,f1055,f1417,f1056,f1418,f472,f1455,f1420,f1422,f1427,f1428,f1429,f1430,f1431,f1432,f1433,f1434,f1435,f1436,f1437,f1438,f1439,f1440,f1441,f1442,f1443,f1444,f1445,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f475,f1562,f1527,f1529,f1534,f1535,f1536,f1537,f1538,f1539,f1540,f1541,f1542,f1543,f1544,f1545,f1546,f1547,f1548,f1549,f1550,f1551,f1552,f1553,f1554,f1555,f1556,f1557,f1558,f1559,f1560,f1561,f597,f598,f419,f1694,f1690,f1698,f1700,f1702,f1241,f1715,f1718,f1720,f1721,f1724,f1725,f1727,f1728,f1729,f1730,f1731,f1732,f1733,f1734,f1735,f1736,f1737,f1738,f1739,f1740,f1741,f1743,f1744,f1745,f1746,f1747,f1742,f1748,f1749,f1750,f1751,f1752,f1246,f1247,f1248,f1249,f421,f1755,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1757,f1257,f1758,f1258,f1759,f1259,f1760,f422,f1763,f1772,f1769,f573,f1888,f1889,f1890,f1891,f1893,f1925,f1926,f1896,f1898,f1899,f1900,f1901,f1902,f1903,f1904,f1905,f1906,f1907,f1908,f1909,f1910,f1911,f1912,f1913,f1914,f1915,f1916,f1917,f1918,f1919,f1920,f1921,f1922,f1923,f1924,f582,f583,f584,f1291,f2133,f2136,f2138,f2139,f2142,f2143,f2145,f2146,f2147,f2148,f2149,f2150,f2151,f2152,f2153,f2154,f2155,f2156,f2157,f2158,f2159,f2160,f1296,f1297,f1298,f2132,f2180,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f2181,f1307,f2182,f1308,f2183,f1309,f2184,f1328,f2186,f2189,f2191,f2192,f2195,f2196,f2198,f2199,f2200,f2201,f2202,f2203,f2204,f2205,f2206,f2207,f2208,f2209,f2210,f2211,f2212,f2213,f1333,f1334,f1335,f2185,f2233,f1336,f1337,f1338,f1339,f1340,f1341,f1342,f1343,f2234,f1344,f2235,f1345,f2236,f1346,f2237,f439,f460,f461,f579,f2449,f2450,f2451,f2452,f2453,f2454,f2487,f2488,f2457,f2460,f2461,f2462,f2463,f2464,f2465,f2466,f2467,f2468,f2469,f2470,f2471,f2472,f2473,f2474,f2475,f2476,f2477,f2478,f2479,f2480,f2481,f2482,f2483,f2484,f2485,f2486,f588,f2537,f2533,f2538,f2536,f2591,f2592,f2593,f595,f2600,f2603,f2604,f2602,f2614,f2615,f2616,f604,f2645,f2646,f2659,f2650,f2664,f2665,f2652,f2670,f2671,f924,f2711,f2714,f2717,f2720,f2721,f2723,f2724,f2725,f2726,f2727,f2728,f2729,f2730,f2731,f2732,f2733,f2734,f2735,f2736,f605,f2763,f2764,f2765,f2769,f2782,f2783,f2771,f2788,f2789,f2716,f2790,f2793,f2796,f2799,f2800,f2816,f2817,f432,f2827,f2795,f2834,f2837,f2839,f2840,f2843,f2844,f2846,f2847,f2848,f2849,f2850,f2851,f2852,f2853,f2854,f2855,f2856,f2857,f2858,f2859,f2860,f2861,f2802,f433,f2871,f2803,f2804,f2805,f2806,f2807,f2808,f2809,f2810,f2811,f2812,f2873,f2813,f2874,f434,f2876,f2881,f2883,f2814,f2884,f2815,f2885,f956,f2887,f2890,f2893,f2896,f2897,f2899,f2900,f2901,f2902,f2903,f2904,f2905,f2906,f2907,f2908,f2909,f2910,f2911,f2912,f2892,f2936,f2939,f2941,f2942,f2945,f2946,f2948,f2949,f2950,f2951,f2952,f2953,f2954,f2955,f2956,f2957,f2958,f2959,f2960,f2961,f2962,f2968,f2969,f2970,f2971,f2972,f2963,f2973,f2974,f2975,f2976,f2977,f435,f2988,f2990,f1892,f2991,f2994,f2996,f2997,f3000,f3001,f3003,f3004,f3005,f3006,f3007,f3008,f3009,f3010,f3011,f3012,f3013,f3014,f3015,f3016,f436,f3063,f3065,f3017,f3084,f3085,f3089,f3091,f3092,f3093,f3094,f3086,f490,f3018,f3148,f3149,f3153,f3155,f3156,f3157,f3158,f3150,f608,f609,f3299,f3300,f3301,f3302,f610,f3382,f3383,f3385,f3386,f580,f3545,f3550,f3552,f3553,f3555,f3556,f3589,f3590,f3559,f3562,f3563,f3564,f3565,f3566,f3567,f3568,f3569,f3570,f3571,f3572,f3573,f3574,f3575,f3576,f3577,f3578,f3579,f3580,f3581,f3582,f3583,f3584,f3585,f3586,f3587,f3588,f606,f3723,f3763,f3765,f3774,f3778,f3784,f3712,f3714,f3727,f3733,f3848,f607,f3928,f3930,f3940,f3946,f3955,f3979,f3981,f3991,f3997,f4006,f2914,f2913,f2738,f2737,f3844]) ).
fof(f4011,plain,
spl72_37,
inference(avatar_contradiction_clause,[],[f4010]) ).
fof(f4010,plain,
( $false
| spl72_37 ),
inference(subsumption_resolution,[],[f4009,f406]) ).
fof(f4009,plain,
( ~ ssList(nil)
| spl72_37 ),
inference(subsumption_resolution,[],[f4008,f648]) ).
fof(f4008,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| spl72_37 ),
inference(duplicate_literal_removal,[],[f4007]) ).
fof(f4007,plain,
( ~ rearsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl72_37 ),
inference(resolution,[],[f3845,f587]) ).
fof(f3845,plain,
( ~ ssList(sK66(nil,nil))
| spl72_37 ),
inference(avatar_component_clause,[],[f3843]) ).
fof(f3850,plain,
( ~ spl72_37
| spl72_38
| ~ spl72_15
| ~ spl72_26 ),
inference(avatar_split_clause,[],[f3841,f2103,f1774,f3847,f3843]) ).
fof(f1774,plain,
( spl72_15
<=> ssList(sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_15])]) ).
fof(f3841,plain,
( nil = sK66(nil,nil)
| ~ ssList(sK66(nil,nil))
| ~ spl72_15
| ~ spl72_26 ),
inference(trivial_inequality_removal,[],[f3840]) ).
fof(f3840,plain,
( nil != nil
| nil = sK66(nil,nil)
| ~ ssList(sK66(nil,nil))
| ~ spl72_15
| ~ spl72_26 ),
inference(superposition,[],[f3718,f2536]) ).
fof(f3718,plain,
( ! [X0] :
( nil != app(X0,nil)
| nil = X0
| ~ ssList(X0) )
| ~ spl72_15
| ~ spl72_26 ),
inference(forward_demodulation,[],[f3717,f2105]) ).
fof(f2105,plain,
( nil = sK25(sK20)
| ~ spl72_26 ),
inference(avatar_component_clause,[],[f2103]) ).
fof(f3717,plain,
( ! [X0] :
( nil != app(X0,nil)
| sK25(sK20) = X0
| ~ ssList(X0) )
| ~ spl72_15
| ~ spl72_26 ),
inference(forward_demodulation,[],[f3716,f2105]) ).
fof(f3716,plain,
( ! [X0] :
( app(X0,nil) != sK25(sK20)
| sK25(sK20) = X0
| ~ ssList(X0) )
| ~ spl72_15 ),
inference(subsumption_resolution,[],[f3715,f406]) ).
fof(f3715,plain,
( ! [X0] :
( app(X0,nil) != sK25(sK20)
| sK25(sK20) = X0
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl72_15 ),
inference(subsumption_resolution,[],[f3649,f1775]) ).
fof(f1775,plain,
( ssList(sK25(sK20))
| ~ spl72_15 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f3649,plain,
( ! [X0] :
( app(X0,nil) != sK25(sK20)
| sK25(sK20) = X0
| ~ ssList(sK25(sK20))
| ~ ssList(nil)
| ~ ssList(X0) )
| ~ spl72_15 ),
inference(superposition,[],[f606,f1786]) ).
fof(f1786,plain,
( sK25(sK20) = app(sK25(sK20),nil)
| ~ spl72_15 ),
inference(resolution,[],[f1775,f468]) ).
fof(f3622,plain,
( ~ spl72_35
| spl72_36
| ~ spl72_31
| ~ spl72_32 ),
inference(avatar_split_clause,[],[f3224,f3164,f3160,f3619,f3615]) ).
fof(f3615,plain,
( spl72_35
<=> rearsegP(sK20,cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_35])]) ).
fof(f3619,plain,
( spl72_36
<=> sK20 = cons(sK71,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_36])]) ).
fof(f3160,plain,
( spl72_31
<=> ssList(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_31])]) ).
fof(f3164,plain,
( spl72_32
<=> ssList(cons(sK71,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_32])]) ).
fof(f3224,plain,
( sK20 = cons(sK71,sK20)
| ~ rearsegP(sK20,cons(sK71,sK20))
| ~ spl72_31
| ~ spl72_32 ),
inference(subsumption_resolution,[],[f3223,f387]) ).
fof(f3223,plain,
( sK20 = cons(sK71,sK20)
| ~ rearsegP(sK20,cons(sK71,sK20))
| ~ ssList(sK20)
| ~ spl72_31
| ~ spl72_32 ),
inference(subsumption_resolution,[],[f3220,f3166]) ).
fof(f3166,plain,
( ssList(cons(sK71,sK20))
| ~ spl72_32 ),
inference(avatar_component_clause,[],[f3164]) ).
fof(f3220,plain,
( sK20 = cons(sK71,sK20)
| ~ rearsegP(sK20,cons(sK71,sK20))
| ~ ssList(cons(sK71,sK20))
| ~ ssList(sK20)
| ~ spl72_31 ),
inference(resolution,[],[f3218,f582]) ).
fof(f3218,plain,
( rearsegP(cons(sK71,sK20),sK20)
| ~ spl72_31 ),
inference(subsumption_resolution,[],[f3157,f3161]) ).
fof(f3161,plain,
( ssList(cons(sK71,nil))
| ~ spl72_31 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3611,plain,
( ~ spl72_33
| spl72_34
| ~ spl72_29
| ~ spl72_30 ),
inference(avatar_split_clause,[],[f3216,f3100,f3096,f3608,f3604]) ).
fof(f3604,plain,
( spl72_33
<=> rearsegP(sK20,cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_33])]) ).
fof(f3608,plain,
( spl72_34
<=> sK20 = cons(sK70,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_34])]) ).
fof(f3096,plain,
( spl72_29
<=> ssList(cons(sK70,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_29])]) ).
fof(f3100,plain,
( spl72_30
<=> ssList(cons(sK70,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_30])]) ).
fof(f3216,plain,
( sK20 = cons(sK70,sK20)
| ~ rearsegP(sK20,cons(sK70,sK20))
| ~ spl72_29
| ~ spl72_30 ),
inference(subsumption_resolution,[],[f3215,f387]) ).
fof(f3215,plain,
( sK20 = cons(sK70,sK20)
| ~ rearsegP(sK20,cons(sK70,sK20))
| ~ ssList(sK20)
| ~ spl72_29
| ~ spl72_30 ),
inference(subsumption_resolution,[],[f3212,f3102]) ).
fof(f3102,plain,
( ssList(cons(sK70,sK20))
| ~ spl72_30 ),
inference(avatar_component_clause,[],[f3100]) ).
fof(f3212,plain,
( sK20 = cons(sK70,sK20)
| ~ rearsegP(sK20,cons(sK70,sK20))
| ~ ssList(cons(sK70,sK20))
| ~ ssList(sK20)
| ~ spl72_29 ),
inference(resolution,[],[f3204,f582]) ).
fof(f3204,plain,
( rearsegP(cons(sK70,sK20),sK20)
| ~ spl72_29 ),
inference(subsumption_resolution,[],[f3093,f3097]) ).
fof(f3097,plain,
( ssList(cons(sK70,nil))
| ~ spl72_29 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f3171,plain,
spl72_31,
inference(avatar_contradiction_clause,[],[f3170]) ).
fof(f3170,plain,
( $false
| spl72_31 ),
inference(subsumption_resolution,[],[f3169,f406]) ).
fof(f3169,plain,
( ~ ssList(nil)
| spl72_31 ),
inference(subsumption_resolution,[],[f3168,f613]) ).
fof(f3168,plain,
( ~ ssItem(sK71)
| ~ ssList(nil)
| spl72_31 ),
inference(resolution,[],[f3162,f568]) ).
fof(f3162,plain,
( ~ ssList(cons(sK71,nil))
| spl72_31 ),
inference(avatar_component_clause,[],[f3160]) ).
fof(f3167,plain,
( ~ spl72_31
| spl72_32 ),
inference(avatar_split_clause,[],[f3150,f3164,f3160]) ).
fof(f3107,plain,
spl72_29,
inference(avatar_contradiction_clause,[],[f3106]) ).
fof(f3106,plain,
( $false
| spl72_29 ),
inference(subsumption_resolution,[],[f3105,f406]) ).
fof(f3105,plain,
( ~ ssList(nil)
| spl72_29 ),
inference(subsumption_resolution,[],[f3104,f612]) ).
fof(f3104,plain,
( ~ ssItem(sK70)
| ~ ssList(nil)
| spl72_29 ),
inference(resolution,[],[f3098,f568]) ).
fof(f3098,plain,
( ~ ssList(cons(sK70,nil))
| spl72_29 ),
inference(avatar_component_clause,[],[f3096]) ).
fof(f3103,plain,
( ~ spl72_29
| spl72_30 ),
inference(avatar_split_clause,[],[f3086,f3100,f3096]) ).
fof(f2331,plain,
( ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15
| ~ spl72_22
| spl72_26 ),
inference(avatar_contradiction_clause,[],[f2330]) ).
fof(f2330,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15
| ~ spl72_22
| spl72_26 ),
inference(subsumption_resolution,[],[f2329,f2104]) ).
fof(f2329,plain,
( nil = sK25(sK20)
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15
| ~ spl72_22 ),
inference(forward_demodulation,[],[f2328,f2044]) ).
fof(f2044,plain,
( nil = tl(sK20)
| ~ spl72_22 ),
inference(avatar_component_clause,[],[f2042]) ).
fof(f2328,plain,
( tl(sK20) = sK25(sK20)
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(forward_demodulation,[],[f2303,f1456]) ).
fof(f2303,plain,
( sK25(sK20) = tl(cons(sK26(sK20),sK25(sK20)))
| ~ spl72_7
| ~ spl72_15 ),
inference(resolution,[],[f1792,f1488]) ).
fof(f1488,plain,
( ssItem(sK26(sK20))
| ~ spl72_7 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1487,plain,
( spl72_7
<=> ssItem(sK26(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_7])]) ).
fof(f1792,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK25(sK20) = tl(cons(X0,sK25(sK20))) )
| ~ spl72_15 ),
inference(resolution,[],[f1775,f571]) ).
fof(f2327,plain,
( ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_11
| ~ spl72_15
| ~ spl72_22
| spl72_26 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2326,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_11
| ~ spl72_15
| ~ spl72_22
| spl72_26 ),
inference(subsumption_resolution,[],[f2325,f2104]) ).
fof(f2325,plain,
( nil = sK25(sK20)
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_11
| ~ spl72_15
| ~ spl72_22 ),
inference(forward_demodulation,[],[f2324,f2044]) ).
fof(f2324,plain,
( tl(sK20) = sK25(sK20)
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_11
| ~ spl72_15 ),
inference(forward_demodulation,[],[f2297,f1829]) ).
fof(f1829,plain,
( sK20 = cons(hd(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(superposition,[],[f1456,f1828]) ).
fof(f1828,plain,
( hd(sK20) = sK26(sK20)
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(forward_demodulation,[],[f1807,f1456]) ).
fof(f1807,plain,
( sK26(sK20) = hd(cons(sK26(sK20),sK25(sK20)))
| ~ spl72_7
| ~ spl72_15 ),
inference(resolution,[],[f1793,f1488]) ).
fof(f1793,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK25(sK20))) = X0 )
| ~ spl72_15 ),
inference(resolution,[],[f1775,f572]) ).
fof(f2297,plain,
( sK25(sK20) = tl(cons(hd(sK20),sK25(sK20)))
| ~ spl72_11
| ~ spl72_15 ),
inference(resolution,[],[f1792,f1595]) ).
fof(f2119,plain,
( ~ spl72_11
| ~ spl72_15
| spl72_28 ),
inference(avatar_contradiction_clause,[],[f2118]) ).
fof(f2118,plain,
( $false
| ~ spl72_11
| ~ spl72_15
| spl72_28 ),
inference(subsumption_resolution,[],[f2117,f1595]) ).
fof(f2117,plain,
( ~ ssItem(hd(sK20))
| ~ spl72_15
| spl72_28 ),
inference(subsumption_resolution,[],[f2116,f1775]) ).
fof(f2116,plain,
( ~ ssList(sK25(sK20))
| ~ ssItem(hd(sK20))
| spl72_28 ),
inference(resolution,[],[f2114,f458]) ).
fof(f2114,plain,
( ~ sP4(hd(sK20),sK25(sK20))
| spl72_28 ),
inference(avatar_component_clause,[],[f2112]) ).
fof(f2112,plain,
( spl72_28
<=> sP4(hd(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_28])]) ).
fof(f2115,plain,
( spl72_27
| ~ spl72_28
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1877,f1774,f1487,f788,f664,f2112,f2108]) ).
fof(f1877,plain,
( ~ sP4(hd(sK20),sK25(sK20))
| sP3(sK25(sK20),hd(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(forward_demodulation,[],[f1876,f1828]) ).
fof(f1876,plain,
( sP3(sK25(sK20),hd(sK20))
| ~ sP4(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(forward_demodulation,[],[f1473,f1828]) ).
fof(f2106,plain,
( spl72_25
| spl72_26
| ~ spl72_23 ),
inference(avatar_split_clause,[],[f2091,f2079,f2103,f2099]) ).
fof(f2099,plain,
( spl72_25
<=> totalorderedP(sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_25])]) ).
fof(f2079,plain,
( spl72_23
<=> sP1(sK25(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_23])]) ).
fof(f2091,plain,
( nil = sK25(sK20)
| totalorderedP(sK25(sK20))
| ~ spl72_23 ),
inference(resolution,[],[f2081,f446]) ).
fof(f2081,plain,
( sP1(sK25(sK20),hd(sK20))
| ~ spl72_23 ),
inference(avatar_component_clause,[],[f2079]) ).
fof(f2090,plain,
( ~ spl72_11
| ~ spl72_15
| spl72_24 ),
inference(avatar_contradiction_clause,[],[f2089]) ).
fof(f2089,plain,
( $false
| ~ spl72_11
| ~ spl72_15
| spl72_24 ),
inference(subsumption_resolution,[],[f2088,f1595]) ).
fof(f2088,plain,
( ~ ssItem(hd(sK20))
| ~ spl72_15
| spl72_24 ),
inference(subsumption_resolution,[],[f2087,f1775]) ).
fof(f2087,plain,
( ~ ssList(sK25(sK20))
| ~ ssItem(hd(sK20))
| spl72_24 ),
inference(resolution,[],[f2085,f450]) ).
fof(f2085,plain,
( ~ sP2(hd(sK20),sK25(sK20))
| spl72_24 ),
inference(avatar_component_clause,[],[f2083]) ).
fof(f2083,plain,
( spl72_24
<=> sP2(hd(sK20),sK25(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_24])]) ).
fof(f2086,plain,
( spl72_23
| ~ spl72_24
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(avatar_split_clause,[],[f1875,f1774,f1487,f788,f664,f2083,f2079]) ).
fof(f1875,plain,
( ~ sP2(hd(sK20),sK25(sK20))
| sP1(sK25(sK20),hd(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(forward_demodulation,[],[f1874,f1828]) ).
fof(f1874,plain,
( sP1(sK25(sK20),hd(sK20))
| ~ sP2(sK26(sK20),sK25(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7
| ~ spl72_15 ),
inference(forward_demodulation,[],[f1472,f1828]) ).
fof(f2059,plain,
( spl72_21
| ~ spl72_22 ),
inference(avatar_contradiction_clause,[],[f2058]) ).
fof(f2058,plain,
( $false
| spl72_21
| ~ spl72_22 ),
inference(subsumption_resolution,[],[f2052,f405]) ).
fof(f2052,plain,
( ~ totalorderedP(nil)
| spl72_21
| ~ spl72_22 ),
inference(superposition,[],[f2039,f2044]) ).
fof(f2039,plain,
( ~ totalorderedP(tl(sK20))
| spl72_21 ),
inference(avatar_component_clause,[],[f2038]) ).
fof(f2038,plain,
( spl72_21
<=> totalorderedP(tl(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_21])]) ).
fof(f2045,plain,
( spl72_21
| spl72_22
| ~ spl72_20 ),
inference(avatar_split_clause,[],[f2036,f2026,f2042,f2038]) ).
fof(f2026,plain,
( spl72_20
<=> sP1(tl(sK20),hd(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_20])]) ).
fof(f2036,plain,
( nil = tl(sK20)
| totalorderedP(tl(sK20))
| ~ spl72_20 ),
inference(resolution,[],[f2028,f446]) ).
fof(f2028,plain,
( sP1(tl(sK20),hd(sK20))
| ~ spl72_20 ),
inference(avatar_component_clause,[],[f2026]) ).
fof(f2035,plain,
( ~ spl72_2
| ~ spl72_3
| ~ spl72_11
| spl72_19 ),
inference(avatar_contradiction_clause,[],[f2034]) ).
fof(f2034,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| ~ spl72_11
| spl72_19 ),
inference(subsumption_resolution,[],[f2033,f387]) ).
fof(f2033,plain,
( ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3
| ~ spl72_11
| spl72_19 ),
inference(subsumption_resolution,[],[f2032,f805]) ).
fof(f2032,plain,
( nil = sK20
| ~ ssList(sK20)
| ~ spl72_11
| spl72_19 ),
inference(resolution,[],[f2031,f474]) ).
fof(f2031,plain,
( ~ ssList(tl(sK20))
| ~ spl72_11
| spl72_19 ),
inference(subsumption_resolution,[],[f2030,f1595]) ).
fof(f2030,plain,
( ~ ssList(tl(sK20))
| ~ ssItem(hd(sK20))
| spl72_19 ),
inference(resolution,[],[f2024,f450]) ).
fof(f2024,plain,
( ~ sP2(hd(sK20),tl(sK20))
| spl72_19 ),
inference(avatar_component_clause,[],[f2022]) ).
fof(f2022,plain,
( spl72_19
<=> sP2(hd(sK20),tl(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_19])]) ).
fof(f2029,plain,
( ~ spl72_19
| spl72_20
| ~ spl72_2
| ~ spl72_3 ),
inference(avatar_split_clause,[],[f1579,f788,f664,f2026,f2022]) ).
fof(f1930,plain,
( spl72_1
| spl72_17 ),
inference(avatar_contradiction_clause,[],[f1929]) ).
fof(f1929,plain,
( $false
| spl72_1
| spl72_17 ),
inference(subsumption_resolution,[],[f1928,f388]) ).
fof(f1928,plain,
( ~ ssList(sK21)
| spl72_1
| spl72_17 ),
inference(subsumption_resolution,[],[f1927,f661]) ).
fof(f661,plain,
( nil != sK21
| spl72_1 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f660,plain,
( spl72_1
<=> nil = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl72_1])]) ).
fof(f1927,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_17 ),
inference(resolution,[],[f1882,f470]) ).
fof(f1882,plain,
( ~ ssList(sK25(sK21))
| spl72_17 ),
inference(avatar_component_clause,[],[f1880]) ).
fof(f1880,plain,
( spl72_17
<=> ssList(sK25(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_17])]) ).
fof(f1887,plain,
( ~ spl72_17
| spl72_18
| spl72_1
| ~ spl72_9 ),
inference(avatar_split_clause,[],[f1878,f1507,f660,f1884,f1880]) ).
fof(f1884,plain,
( spl72_18
<=> memberP(sK21,sK26(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_18])]) ).
fof(f1507,plain,
( spl72_9
<=> ssItem(sK26(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_9])]) ).
fof(f1878,plain,
( memberP(sK21,sK26(sK21))
| ~ ssList(sK25(sK21))
| spl72_1
| ~ spl72_9 ),
inference(subsumption_resolution,[],[f1483,f1508]) ).
fof(f1508,plain,
( ssItem(sK26(sK21))
| ~ spl72_9 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1483,plain,
( memberP(sK21,sK26(sK21))
| ~ ssList(sK25(sK21))
| ~ ssItem(sK26(sK21))
| spl72_1 ),
inference(superposition,[],[f645,f1457]) ).
fof(f1457,plain,
( sK21 = cons(sK26(sK21),sK25(sK21))
| spl72_1 ),
inference(subsumption_resolution,[],[f1424,f661]) ).
fof(f1424,plain,
( nil = sK21
| sK21 = cons(sK26(sK21),sK25(sK21)) ),
inference(resolution,[],[f472,f388]) ).
fof(f1785,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_15 ),
inference(avatar_contradiction_clause,[],[f1784]) ).
fof(f1784,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_15 ),
inference(subsumption_resolution,[],[f1783,f387]) ).
fof(f1783,plain,
( ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3
| spl72_15 ),
inference(subsumption_resolution,[],[f1782,f805]) ).
fof(f1782,plain,
( nil = sK20
| ~ ssList(sK20)
| spl72_15 ),
inference(resolution,[],[f1776,f470]) ).
fof(f1776,plain,
( ~ ssList(sK25(sK20))
| spl72_15 ),
inference(avatar_component_clause,[],[f1774]) ).
fof(f1781,plain,
( ~ spl72_15
| spl72_16
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7 ),
inference(avatar_split_clause,[],[f1761,f1487,f788,f664,f1778,f1774]) ).
fof(f1778,plain,
( spl72_16
<=> memberP(sK20,sK26(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_16])]) ).
fof(f1761,plain,
( memberP(sK20,sK26(sK20))
| ~ ssList(sK25(sK20))
| ~ spl72_2
| ~ spl72_3
| ~ spl72_7 ),
inference(subsumption_resolution,[],[f1471,f1488]) ).
fof(f1625,plain,
( spl72_1
| spl72_13 ),
inference(avatar_contradiction_clause,[],[f1624]) ).
fof(f1624,plain,
( $false
| spl72_1
| spl72_13 ),
inference(subsumption_resolution,[],[f1623,f388]) ).
fof(f1623,plain,
( ~ ssList(sK21)
| spl72_1
| spl72_13 ),
inference(subsumption_resolution,[],[f1622,f661]) ).
fof(f1622,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_13 ),
inference(resolution,[],[f1616,f473]) ).
fof(f1616,plain,
( ~ ssItem(hd(sK21))
| spl72_13 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1614,plain,
( spl72_13
<=> ssItem(hd(sK21)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_13])]) ).
fof(f1621,plain,
( ~ spl72_13
| ~ spl72_14
| spl72_1 ),
inference(avatar_split_clause,[],[f1592,f660,f1618,f1614]) ).
fof(f1618,plain,
( spl72_14
<=> sK21 = tl(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_14])]) ).
fof(f1592,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| spl72_1 ),
inference(subsumption_resolution,[],[f1591,f388]) ).
fof(f1591,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ ssList(sK21)
| spl72_1 ),
inference(inner_rewriting,[],[f1589]) ).
fof(f1589,plain,
( sK21 != tl(sK21)
| ~ ssItem(hd(sK21))
| ~ ssList(tl(sK21))
| spl72_1 ),
inference(superposition,[],[f570,f1564]) ).
fof(f1564,plain,
( sK21 = cons(hd(sK21),tl(sK21))
| spl72_1 ),
inference(subsumption_resolution,[],[f1531,f661]) ).
fof(f1531,plain,
( nil = sK21
| sK21 = cons(hd(sK21),tl(sK21)) ),
inference(resolution,[],[f475,f388]) ).
fof(f1605,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_11 ),
inference(avatar_contradiction_clause,[],[f1604]) ).
fof(f1604,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_11 ),
inference(subsumption_resolution,[],[f1603,f387]) ).
fof(f1603,plain,
( ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3
| spl72_11 ),
inference(subsumption_resolution,[],[f1602,f805]) ).
fof(f1602,plain,
( nil = sK20
| ~ ssList(sK20)
| spl72_11 ),
inference(resolution,[],[f1596,f473]) ).
fof(f1596,plain,
( ~ ssItem(hd(sK20))
| spl72_11 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1601,plain,
( ~ spl72_11
| ~ spl72_12
| ~ spl72_2
| ~ spl72_3 ),
inference(avatar_split_clause,[],[f1582,f788,f664,f1598,f1594]) ).
fof(f1598,plain,
( spl72_12
<=> sK20 = tl(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_12])]) ).
fof(f1518,plain,
( spl72_1
| spl72_9 ),
inference(avatar_contradiction_clause,[],[f1517]) ).
fof(f1517,plain,
( $false
| spl72_1
| spl72_9 ),
inference(subsumption_resolution,[],[f1516,f388]) ).
fof(f1516,plain,
( ~ ssList(sK21)
| spl72_1
| spl72_9 ),
inference(subsumption_resolution,[],[f1515,f661]) ).
fof(f1515,plain,
( nil = sK21
| ~ ssList(sK21)
| spl72_9 ),
inference(resolution,[],[f1509,f471]) ).
fof(f1509,plain,
( ~ ssItem(sK26(sK21))
| spl72_9 ),
inference(avatar_component_clause,[],[f1507]) ).
fof(f1514,plain,
( ~ spl72_9
| ~ spl72_10
| spl72_1 ),
inference(avatar_split_clause,[],[f1485,f660,f1511,f1507]) ).
fof(f1511,plain,
( spl72_10
<=> sK21 = sK25(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_10])]) ).
fof(f1485,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| spl72_1 ),
inference(subsumption_resolution,[],[f1484,f388]) ).
fof(f1484,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ ssList(sK21)
| spl72_1 ),
inference(inner_rewriting,[],[f1482]) ).
fof(f1482,plain,
( sK21 != sK25(sK21)
| ~ ssItem(sK26(sK21))
| ~ ssList(sK25(sK21))
| spl72_1 ),
inference(superposition,[],[f570,f1457]) ).
fof(f1498,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_7 ),
inference(avatar_contradiction_clause,[],[f1497]) ).
fof(f1497,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_7 ),
inference(subsumption_resolution,[],[f1496,f387]) ).
fof(f1496,plain,
( ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3
| spl72_7 ),
inference(subsumption_resolution,[],[f1495,f805]) ).
fof(f1495,plain,
( nil = sK20
| ~ ssList(sK20)
| spl72_7 ),
inference(resolution,[],[f1489,f471]) ).
fof(f1489,plain,
( ~ ssItem(sK26(sK20))
| spl72_7 ),
inference(avatar_component_clause,[],[f1487]) ).
fof(f1494,plain,
( ~ spl72_7
| ~ spl72_8
| ~ spl72_2
| ~ spl72_3 ),
inference(avatar_split_clause,[],[f1475,f788,f664,f1491,f1487]) ).
fof(f1491,plain,
( spl72_8
<=> sK20 = sK25(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_8])]) ).
fof(f1180,plain,
( ~ spl72_1
| ~ spl72_3 ),
inference(avatar_contradiction_clause,[],[f1153]) ).
fof(f1153,plain,
( $false
| ~ spl72_1
| ~ spl72_3 ),
inference(resolution,[],[f1150,f789]) ).
fof(f1150,plain,
( ! [X0] : ~ ssItem(X0)
| ~ spl72_1 ),
inference(subsumption_resolution,[],[f1149,f393]) ).
fof(f1149,plain,
( ! [X0] :
( ~ ssItem(X0)
| ~ ssItem(sK24(X0)) )
| ~ spl72_1 ),
inference(resolution,[],[f1122,f407]) ).
fof(f1122,plain,
( ! [X0] :
( memberP(nil,sK24(X0))
| ~ ssItem(X0) )
| ~ spl72_1 ),
inference(superposition,[],[f394,f1120]) ).
fof(f1120,plain,
( nil = sK20
| ~ spl72_1 ),
inference(subsumption_resolution,[],[f1119,f736]) ).
fof(f1119,plain,
( sP0(nil,sK20)
| nil = sK20
| ~ spl72_1 ),
inference(forward_demodulation,[],[f658,f662]) ).
fof(f662,plain,
( nil = sK21
| ~ spl72_1 ),
inference(avatar_component_clause,[],[f660]) ).
fof(f1179,plain,
( ~ spl72_1
| ~ spl72_3 ),
inference(avatar_contradiction_clause,[],[f1154]) ).
fof(f1154,plain,
( $false
| ~ spl72_1
| ~ spl72_3 ),
inference(resolution,[],[f1150,f1111]) ).
fof(f1111,plain,
( ssItem(sK19(nil,sK20))
| ~ spl72_1
| ~ spl72_3 ),
inference(superposition,[],[f789,f662]) ).
fof(f1178,plain,
( ~ spl72_1
| ~ spl72_3 ),
inference(avatar_contradiction_clause,[],[f1155]) ).
fof(f1155,plain,
( $false
| ~ spl72_1
| ~ spl72_3 ),
inference(resolution,[],[f1150,f1135]) ).
fof(f1135,plain,
( ssItem(sK19(nil,nil))
| ~ spl72_1
| ~ spl72_3 ),
inference(forward_demodulation,[],[f1125,f662]) ).
fof(f1125,plain,
( ssItem(sK19(sK21,nil))
| ~ spl72_1
| ~ spl72_3 ),
inference(superposition,[],[f789,f1120]) ).
fof(f1177,plain,
~ spl72_1,
inference(avatar_contradiction_clause,[],[f1174]) ).
fof(f1174,plain,
( $false
| ~ spl72_1 ),
inference(resolution,[],[f1150,f612]) ).
fof(f1176,plain,
~ spl72_1,
inference(avatar_contradiction_clause,[],[f1175]) ).
fof(f1175,plain,
( $false
| ~ spl72_1 ),
inference(resolution,[],[f1150,f613]) ).
fof(f1102,plain,
( ~ spl72_2
| ~ spl72_3
| spl72_5 ),
inference(avatar_contradiction_clause,[],[f1101]) ).
fof(f1101,plain,
( $false
| ~ spl72_2
| ~ spl72_3
| spl72_5 ),
inference(subsumption_resolution,[],[f1100,f387]) ).
fof(f1100,plain,
( ~ ssList(sK20)
| ~ spl72_2
| ~ spl72_3
| spl72_5 ),
inference(subsumption_resolution,[],[f1099,f1070]) ).
fof(f1099,plain,
( ~ singletonP(sK20)
| ~ ssList(sK20)
| spl72_5 ),
inference(resolution,[],[f1093,f480]) ).
fof(f1093,plain,
( ~ ssItem(sK29(sK20))
| spl72_5 ),
inference(avatar_component_clause,[],[f1091]) ).
fof(f1091,plain,
( spl72_5
<=> ssItem(sK29(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_5])]) ).
fof(f1098,plain,
( ~ spl72_5
| spl72_6
| ~ spl72_2
| ~ spl72_3 ),
inference(avatar_split_clause,[],[f1089,f788,f664,f1095,f1091]) ).
fof(f1095,plain,
( spl72_6
<=> memberP(sK20,sK29(sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_6])]) ).
fof(f798,plain,
( ~ spl72_2
| spl72_3 ),
inference(avatar_contradiction_clause,[],[f797]) ).
fof(f797,plain,
( $false
| ~ spl72_2
| spl72_3 ),
inference(subsumption_resolution,[],[f796,f666]) ).
fof(f796,plain,
( ~ sP0(sK21,sK20)
| spl72_3 ),
inference(resolution,[],[f790,f383]) ).
fof(f790,plain,
( ~ ssItem(sK19(sK21,sK20))
| spl72_3 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f795,plain,
( ~ spl72_3
| spl72_4
| ~ spl72_2 ),
inference(avatar_split_clause,[],[f771,f664,f792,f788]) ).
fof(f792,plain,
( spl72_4
<=> equalelemsP(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl72_4])]) ).
fof(f667,plain,
( spl72_1
| spl72_2 ),
inference(avatar_split_clause,[],[f655,f664,f660]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWC198+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n020.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Sun May 19 03:53:08 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.35 % (15610)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36 % (15613)WARNING: value z3 for option sas not known
% 0.15/0.36 % (15613)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)
% 0.15/0.37 % (15611)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.37 % (15614)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.37 % (15612)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.37 % (15616)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)
% 0.15/0.37 % (15615)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)
% 0.15/0.37 % (15617)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)
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [1]
% 0.15/0.39 TRYING [2]
% 0.15/0.39 TRYING [2]
% 0.15/0.40 TRYING [3]
% 0.15/0.40 TRYING [3]
% 0.21/0.45 TRYING [4]
% 0.21/0.46 TRYING [4]
% 0.21/0.52 % (15613)First to succeed.
% 0.21/0.52 TRYING [1]
% 0.21/0.52 TRYING [2]
% 0.21/0.53 TRYING [3]
% 0.21/0.54 TRYING [5]
% 0.21/0.54 % (15613)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-15610"
% 0.21/0.54 % (15613)Refutation found. Thanks to Tanya!
% 0.21/0.54 % SZS status Theorem for theBenchmark
% 0.21/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.55 % (15613)------------------------------
% 0.21/0.55 % (15613)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.55 % (15613)Termination reason: Refutation
% 0.21/0.55
% 0.21/0.55 % (15613)Memory used [KB]: 3942
% 0.21/0.55 % (15613)Time elapsed: 0.176 s
% 0.21/0.55 % (15613)Instructions burned: 463 (million)
% 0.21/0.55 % (15610)Success in time 0.198 s
%------------------------------------------------------------------------------