TSTP Solution File: SWC106+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC106+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 : n007.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 04:47:26 EDT 2024
% Result : Theorem 0.21s 0.44s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 197
% Syntax : Number of formulae : 1382 ( 63 unt; 0 def)
% Number of atoms : 5399 (1385 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 6362 (2345 ~;2855 |; 765 &)
% ( 105 <=>; 292 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 69 ( 67 usr; 29 prp; 0-4 aty)
% Number of functors : 58 ( 58 usr; 7 con; 0-2 aty)
% Number of variables : 2294 (1955 !; 339 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2626,plain,
$false,
inference(avatar_sat_refutation,[],[f681,f740,f800,f803,f896,f1149,f1153,f1159,f1212,f1218,f1545,f1549,f1564,f1568,f1652,f1699,f1703,f1718,f1722,f1893,f1908,f2003,f2048,f2058,f2082,f2344,f2348,f2393,f2418,f2625]) ).
fof(f2625,plain,
( ~ spl73_2
| spl73_9 ),
inference(avatar_contradiction_clause,[],[f2624]) ).
fof(f2624,plain,
( $false
| ~ spl73_2
| spl73_9 ),
inference(subsumption_resolution,[],[f2623,f741]) ).
fof(f741,plain,
( sP0(sK23,sK22)
| ~ spl73_2 ),
inference(resolution,[],[f384,f680]) ).
fof(f680,plain,
( sP1(sK22,sK23,sK22,sK23)
| ~ spl73_2 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f678,plain,
( spl73_2
<=> sP1(sK22,sK23,sK22,sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_2])]) ).
fof(f384,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| sP0(X3,X2) ),
inference(cnf_transformation,[],[f253]) ).
fof(f253,plain,
! [X0,X1,X2,X3] :
( ( ( ~ rearsegP(X1,X0)
| ~ neq(X0,nil) )
& sP0(X3,X2)
& neq(X1,nil) )
| ~ sP1(X0,X1,X2,X3) ),
inference(nnf_transformation,[],[f224]) ).
fof(f224,plain,
! [X0,X1,X2,X3] :
( ( ( ~ rearsegP(X1,X0)
| ~ neq(X0,nil) )
& sP0(X3,X2)
& neq(X1,nil) )
| ~ sP1(X0,X1,X2,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
fof(f2623,plain,
( ~ sP0(sK23,sK22)
| ~ spl73_2
| spl73_9 ),
inference(resolution,[],[f2620,f387]) ).
fof(f387,plain,
! [X0,X1] :
( ssList(sK21(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
fof(f258,plain,
! [X0,X1] :
( ( app(sK21(X0,X1),cons(sK20(X0,X1),nil)) = X0
& cons(sK20(X0,X1),nil) = X1
& ssList(sK21(X0,X1))
& ssItem(sK20(X0,X1)) )
| ~ sP0(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK20,sK21])],[f255,f257,f256]) ).
fof(f256,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( app(X3,cons(X2,nil)) = X0
& cons(X2,nil) = X1
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( app(X3,cons(sK20(X0,X1),nil)) = X0
& cons(sK20(X0,X1),nil) = X1
& ssList(X3) )
& ssItem(sK20(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f257,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,cons(sK20(X0,X1),nil)) = X0
& cons(sK20(X0,X1),nil) = X1
& ssList(X3) )
=> ( app(sK21(X0,X1),cons(sK20(X0,X1),nil)) = X0
& cons(sK20(X0,X1),nil) = X1
& ssList(sK21(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
! [X0,X1] :
( ? [X2] :
( ? [X3] :
( app(X3,cons(X2,nil)) = X0
& cons(X2,nil) = X1
& ssList(X3) )
& ssItem(X2) )
| ~ sP0(X0,X1) ),
inference(rectify,[],[f254]) ).
fof(f254,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& cons(X4,nil) = X2
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X3,X2) ),
inference(nnf_transformation,[],[f223]) ).
fof(f223,plain,
! [X3,X2] :
( ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& cons(X4,nil) = X2
& ssList(X5) )
& ssItem(X4) )
| ~ sP0(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f2620,plain,
( ~ ssList(sK21(sK23,sK22))
| ~ spl73_2
| spl73_9 ),
inference(subsumption_resolution,[],[f2619,f390]) ).
fof(f390,plain,
ssList(sK22),
inference(cnf_transformation,[],[f263]) ).
fof(f263,plain,
( ( ( ~ neq(sK25,nil)
& neq(sK23,nil) )
| sP1(sK22,sK23,sK24,sK25) )
& sK22 = sK24
& sK23 = sK25
& ssList(sK25)
& ssList(sK24)
& ssList(sK23)
& ssList(sK22) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23,sK24,sK25])],[f225,f262,f261,f260,f259]) ).
fof(f259,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X0,X1,X2,X3) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(sK22,X1,X2,X3) )
& sK22 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f260,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(sK22,X1,X2,X3) )
& sK22 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(sK22,sK23,X2,X3) )
& sK22 = X2
& sK23 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK23) ) ),
introduced(choice_axiom,[]) ).
fof(f261,plain,
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(sK22,sK23,X2,X3) )
& sK22 = X2
& sK23 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(sK22,sK23,sK24,X3) )
& sK22 = sK24
& sK23 = X3
& ssList(X3) )
& ssList(sK24) ) ),
introduced(choice_axiom,[]) ).
fof(f262,plain,
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(sK23,nil) )
| sP1(sK22,sK23,sK24,X3) )
& sK22 = sK24
& sK23 = X3
& ssList(X3) )
=> ( ( ( ~ neq(sK25,nil)
& neq(sK23,nil) )
| sP1(sK22,sK23,sK24,sK25) )
& sK22 = sK24
& sK23 = sK25
& ssList(sK25) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| sP1(X0,X1,X2,X3) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(definition_folding,[],[f99,f224,f223]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ rearsegP(X1,X0)
| ~ neq(X0,nil) )
& ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& cons(X4,nil) = X2
& ssList(X5) )
& ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( ~ neq(X3,nil)
& neq(X1,nil) )
| ( ( ~ rearsegP(X1,X0)
| ~ neq(X0,nil) )
& ? [X4] :
( ? [X5] :
( app(X5,cons(X4,nil)) = X3
& cons(X4,nil) = X2
& ssList(X5) )
& ssItem(X4) )
& neq(X1,nil) ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( rearsegP(X1,X0)
& neq(X0,nil) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| cons(X4,nil) != X2 ) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( neq(X3,nil)
| ~ neq(X1,nil) )
& ( ( rearsegP(X1,X0)
& neq(X0,nil) )
| ! [X4] :
( ssItem(X4)
=> ! [X5] :
( ssList(X5)
=> ( app(X5,cons(X4,nil)) != X3
| cons(X4,nil) != X2 ) ) )
| ~ neq(X1,nil) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f2619,plain,
( ~ ssList(sK21(sK23,sK22))
| ~ ssList(sK22)
| ~ spl73_2
| spl73_9 ),
inference(subsumption_resolution,[],[f2614,f1207]) ).
fof(f1207,plain,
( ~ rearsegP(sK23,sK22)
| spl73_9 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1205,plain,
( spl73_9
<=> rearsegP(sK23,sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_9])]) ).
fof(f2614,plain,
( rearsegP(sK23,sK22)
| ~ ssList(sK21(sK23,sK22))
| ~ ssList(sK22)
| ~ spl73_2 ),
inference(superposition,[],[f2457,f2613]) ).
fof(f2613,plain,
( sK23 = app(sK21(sK23,sK22),sK22)
| ~ spl73_2 ),
inference(forward_demodulation,[],[f2612,f1164]) ).
fof(f1164,plain,
( sK22 = cons(sK20(sK23,sK22),nil)
| ~ spl73_2 ),
inference(resolution,[],[f741,f388]) ).
fof(f388,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| cons(sK20(X0,X1),nil) = X1 ),
inference(cnf_transformation,[],[f258]) ).
fof(f2612,plain,
( sK23 = app(sK21(sK23,sK22),cons(sK20(sK23,sK22),nil))
| ~ spl73_2 ),
inference(resolution,[],[f389,f741]) ).
fof(f389,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| app(sK21(X0,X1),cons(sK20(X0,X1),nil)) = X0 ),
inference(cnf_transformation,[],[f258]) ).
fof(f2457,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f639,f578]) ).
fof(f578,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax26) ).
fof(f639,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f596]) ).
fof(f596,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f377,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK70(X0,X1),X1) = X0
& ssList(sK70(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK70])],[f375,f376]) ).
fof(f376,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK70(X0,X1),X1) = X0
& ssList(sK70(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f375,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,[],[f374]) ).
fof(f374,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,[],[f201]) ).
fof(f201,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/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f2418,plain,
spl73_27,
inference(avatar_contradiction_clause,[],[f2417]) ).
fof(f2417,plain,
( $false
| spl73_27 ),
inference(subsumption_resolution,[],[f2416,f406]) ).
fof(f406,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f2416,plain,
( ~ ssList(nil)
| spl73_27 ),
inference(subsumption_resolution,[],[f2415,f613]) ).
fof(f613,plain,
ssItem(sK72),
inference(cnf_transformation,[],[f382]) ).
fof(f382,plain,
( sK71 != sK72
& ssItem(sK72)
& ssItem(sK71) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK71,sK72])],[f2,f381,f380]) ).
fof(f380,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK71 != X1
& ssItem(X1) )
& ssItem(sK71) ) ),
introduced(choice_axiom,[]) ).
fof(f381,plain,
( ? [X1] :
( sK71 != X1
& ssItem(X1) )
=> ( sK71 != sK72
& ssItem(sK72) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2415,plain,
( ~ ssItem(sK72)
| ~ ssList(nil)
| spl73_27 ),
inference(resolution,[],[f2388,f568]) ).
fof(f568,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f178]) ).
fof(f178,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/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f2388,plain,
( ~ ssList(cons(sK72,nil))
| spl73_27 ),
inference(avatar_component_clause,[],[f2386]) ).
fof(f2386,plain,
( spl73_27
<=> ssList(cons(sK72,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_27])]) ).
fof(f2393,plain,
( ~ spl73_27
| spl73_28 ),
inference(avatar_split_clause,[],[f2384,f2390,f2386]) ).
fof(f2390,plain,
( spl73_28
<=> ssList(cons(sK72,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_28])]) ).
fof(f2384,plain,
( ssList(cons(sK72,sK22))
| ~ ssList(cons(sK72,nil)) ),
inference(subsumption_resolution,[],[f2380,f390]) ).
fof(f2380,plain,
( ssList(cons(sK72,sK22))
| ~ ssList(sK22)
| ~ ssList(cons(sK72,nil)) ),
inference(superposition,[],[f578,f2278]) ).
fof(f2278,plain,
cons(sK72,sK22) = app(cons(sK72,nil),sK22),
inference(resolution,[],[f2009,f613]) ).
fof(f2009,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK22) = app(cons(X0,nil),sK22) ),
inference(resolution,[],[f573,f390]) ).
fof(f573,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| cons(X1,X0) = app(cons(X1,nil),X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f2348,plain,
spl73_25,
inference(avatar_contradiction_clause,[],[f2347]) ).
fof(f2347,plain,
( $false
| spl73_25 ),
inference(subsumption_resolution,[],[f2346,f406]) ).
fof(f2346,plain,
( ~ ssList(nil)
| spl73_25 ),
inference(subsumption_resolution,[],[f2345,f612]) ).
fof(f612,plain,
ssItem(sK71),
inference(cnf_transformation,[],[f382]) ).
fof(f2345,plain,
( ~ ssItem(sK71)
| ~ ssList(nil)
| spl73_25 ),
inference(resolution,[],[f2339,f568]) ).
fof(f2339,plain,
( ~ ssList(cons(sK71,nil))
| spl73_25 ),
inference(avatar_component_clause,[],[f2337]) ).
fof(f2337,plain,
( spl73_25
<=> ssList(cons(sK71,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_25])]) ).
fof(f2344,plain,
( ~ spl73_25
| spl73_26 ),
inference(avatar_split_clause,[],[f2335,f2341,f2337]) ).
fof(f2341,plain,
( spl73_26
<=> ssList(cons(sK71,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_26])]) ).
fof(f2335,plain,
( ssList(cons(sK71,sK22))
| ~ ssList(cons(sK71,nil)) ),
inference(subsumption_resolution,[],[f2331,f390]) ).
fof(f2331,plain,
( ssList(cons(sK71,sK22))
| ~ ssList(sK22)
| ~ ssList(cons(sK71,nil)) ),
inference(superposition,[],[f578,f2277]) ).
fof(f2277,plain,
cons(sK71,sK22) = app(cons(sK71,nil),sK22),
inference(resolution,[],[f2009,f612]) ).
fof(f2082,plain,
( spl73_23
| ~ spl73_24 ),
inference(avatar_contradiction_clause,[],[f2081]) ).
fof(f2081,plain,
( $false
| spl73_23
| ~ spl73_24 ),
inference(subsumption_resolution,[],[f2078,f405]) ).
fof(f405,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f2078,plain,
( ~ totalorderedP(nil)
| spl73_23
| ~ spl73_24 ),
inference(superposition,[],[f2052,f2057]) ).
fof(f2057,plain,
( nil = sK26(sK22)
| ~ spl73_24 ),
inference(avatar_component_clause,[],[f2055]) ).
fof(f2055,plain,
( spl73_24
<=> nil = sK26(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_24])]) ).
fof(f2052,plain,
( ~ totalorderedP(sK26(sK22))
| spl73_23 ),
inference(avatar_component_clause,[],[f2051]) ).
fof(f2051,plain,
( spl73_23
<=> totalorderedP(sK26(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_23])]) ).
fof(f2058,plain,
( spl73_23
| spl73_24
| ~ spl73_21 ),
inference(avatar_split_clause,[],[f2049,f1996,f2055,f2051]) ).
fof(f1996,plain,
( spl73_21
<=> sP2(sK26(sK22),hd(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_21])]) ).
fof(f2049,plain,
( nil = sK26(sK22)
| totalorderedP(sK26(sK22))
| ~ spl73_21 ),
inference(resolution,[],[f1998,f446]) ).
fof(f446,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f275]) ).
fof(f275,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f274]) ).
fof(f274,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f1998,plain,
( sP2(sK26(sK22),hd(sK22))
| ~ spl73_21 ),
inference(avatar_component_clause,[],[f1996]) ).
fof(f2048,plain,
( ~ spl73_2
| ~ spl73_3
| ~ spl73_7
| ~ spl73_19
| spl73_22 ),
inference(avatar_contradiction_clause,[],[f2047]) ).
fof(f2047,plain,
( $false
| ~ spl73_2
| ~ spl73_3
| ~ spl73_7
| ~ spl73_19
| spl73_22 ),
inference(subsumption_resolution,[],[f2046,f1339]) ).
fof(f1339,plain,
( ssItem(hd(sK22))
| ~ spl73_2
| ~ spl73_3
| ~ spl73_7 ),
inference(superposition,[],[f1143,f1332]) ).
fof(f1332,plain,
( hd(sK22) = sK30(sK22)
| ~ spl73_2
| ~ spl73_3
| ~ spl73_7 ),
inference(forward_demodulation,[],[f1314,f1161]) ).
fof(f1161,plain,
( sK22 = cons(sK30(sK22),nil)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1160,f390]) ).
fof(f1160,plain,
( sK22 = cons(sK30(sK22),nil)
| ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(resolution,[],[f1121,f481]) ).
fof(f481,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK30(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK30(X0),nil) = X0
& ssItem(sK30(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK30])],[f291,f292]) ).
fof(f292,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK30(X0),nil) = X0
& ssItem(sK30(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,[],[f160]) ).
fof(f160,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/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f1121,plain,
( singletonP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1120,f390]) ).
fof(f1120,plain,
( ~ ssList(sK22)
| singletonP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(forward_demodulation,[],[f1119,f775]) ).
fof(f775,plain,
( sK22 = cons(sK20(sK23,sK22),nil)
| ~ spl73_2 ),
inference(resolution,[],[f388,f741]) ).
fof(f1119,plain,
( singletonP(sK22)
| ~ ssList(cons(sK20(sK23,sK22),nil))
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1117,f794]) ).
fof(f794,plain,
( ssItem(sK20(sK23,sK22))
| ~ spl73_3 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f793,plain,
( spl73_3
<=> ssItem(sK20(sK23,sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_3])]) ).
fof(f1117,plain,
( singletonP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ ssList(cons(sK20(sK23,sK22),nil))
| ~ spl73_2 ),
inference(superposition,[],[f623,f775]) ).
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(f1314,plain,
( sK30(sK22) = hd(cons(sK30(sK22),nil))
| ~ spl73_7 ),
inference(resolution,[],[f1023,f1143]) ).
fof(f1023,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f572,f406]) ).
fof(f572,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| hd(cons(X1,X0)) = X1 ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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/sandbox/benchmark/theBenchmark.p',ax23) ).
fof(f1143,plain,
( ssItem(sK30(sK22))
| ~ spl73_7 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1142,plain,
( spl73_7
<=> ssItem(sK30(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_7])]) ).
fof(f2046,plain,
( ~ ssItem(hd(sK22))
| ~ spl73_19
| spl73_22 ),
inference(subsumption_resolution,[],[f2045,f1887]) ).
fof(f1887,plain,
( ssList(sK26(sK22))
| ~ spl73_19 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f1886,plain,
( spl73_19
<=> ssList(sK26(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_19])]) ).
fof(f2045,plain,
( ~ ssList(sK26(sK22))
| ~ ssItem(hd(sK22))
| spl73_22 ),
inference(resolution,[],[f2002,f450]) ).
fof(f450,plain,
! [X0,X1] :
( sP3(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f228]) ).
fof(f228,plain,
! [X0] :
( ! [X1] :
( sP3(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f137,f227,f226]) ).
fof(f227,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f137,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/sandbox/benchmark/theBenchmark.p',ax67) ).
fof(f2002,plain,
( ~ sP3(hd(sK22),sK26(sK22))
| spl73_22 ),
inference(avatar_component_clause,[],[f2000]) ).
fof(f2000,plain,
( spl73_22
<=> sP3(hd(sK22),sK26(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_22])]) ).
fof(f2003,plain,
( spl73_21
| ~ spl73_22
| ~ spl73_2
| ~ spl73_3
| ~ spl73_11
| ~ spl73_19 ),
inference(avatar_split_clause,[],[f1992,f1886,f1538,f793,f678,f2000,f1996]) ).
fof(f1538,plain,
( spl73_11
<=> ssItem(sK27(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_11])]) ).
fof(f1992,plain,
( ~ sP3(hd(sK22),sK26(sK22))
| sP2(sK26(sK22),hd(sK22))
| ~ spl73_2
| ~ spl73_3
| ~ spl73_11
| ~ spl73_19 ),
inference(forward_demodulation,[],[f1991,f1951]) ).
fof(f1951,plain,
( hd(sK22) = sK27(sK22)
| ~ spl73_2
| ~ spl73_3
| ~ spl73_11
| ~ spl73_19 ),
inference(forward_demodulation,[],[f1929,f1507]) ).
fof(f1507,plain,
( sK22 = cons(sK27(sK22),sK26(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1474,f810]) ).
fof(f810,plain,
( nil != sK22
| ~ spl73_2
| ~ spl73_3 ),
inference(global_subsumption,[],[f385,f389,f397,f396,f419,f420,f421,f422,f424,f423,f426,f428,f427,f431,f430,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f444,f443,f449,f447,f452,f451,f457,f455,f461,f460,f459,f472,f475,f477,f479,f623,f481,f490,f624,f501,f644,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,f586,f637,f589,f588,f587,f638,f592,f591,f639,f595,f594,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f680,f386,f387,f450,f458,f468,f683,f708,f709,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f700,f701,f702,f703,f704,f705,f706,f707,f684,f685,f469,f711,f736,f737,f716,f717,f718,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f730,f731,f732,f733,f734,f735,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f738,f384,f741,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f775,f777,f778,f779,f780,f781,f782,f787,f788,f790,f791,f776,f794,f804,f805,f418,f806,f807,f808,f809,f789]) ).
fof(f789,plain,
( nil != sK22
| ~ ssItem(sK20(sK23,nil))
| ~ spl73_2 ),
inference(inner_rewriting,[],[f788]) ).
fof(f809,plain,
( totalorderedP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f782,f794]) ).
fof(f808,plain,
( strictorderedP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f781,f794]) ).
fof(f807,plain,
( cyclefreeP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f780,f794]) ).
fof(f806,plain,
( totalorderP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f779,f794]) ).
fof(f418,plain,
! [X0,X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f112]) ).
fof(f112,plain,
! [X0] :
( ! [X1] :
( ~ gt(X1,X0)
| ~ gt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f111]) ).
fof(f111,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/sandbox/benchmark/theBenchmark.p',ax94) ).
fof(f805,plain,
( duplicatefreeP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f778,f794]) ).
fof(f804,plain,
( strictorderP(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f777,f794]) ).
fof(f776,plain,
( equalelemsP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f411,f775]) ).
fof(f791,plain,
( nil != sK22
| ~ ssItem(sK20(sK23,nil))
| ~ spl73_2 ),
inference(inner_rewriting,[],[f790]) ).
fof(f790,plain,
( nil != sK22
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(subsumption_resolution,[],[f785,f406]) ).
fof(f785,plain,
( nil != sK22
| ~ ssItem(sK20(sK23,sK22))
| ~ ssList(nil)
| ~ spl73_2 ),
inference(superposition,[],[f569,f775]) ).
fof(f788,plain,
( nil != sK22
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(subsumption_resolution,[],[f784,f406]) ).
fof(f784,plain,
( nil != sK22
| ~ ssItem(sK20(sK23,sK22))
| ~ ssList(nil)
| ~ spl73_2 ),
inference(superposition,[],[f570,f775]) ).
fof(f787,plain,
( memberP(sK22,sK20(sK23,sK22))
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(subsumption_resolution,[],[f783,f406]) ).
fof(f783,plain,
( memberP(sK22,sK20(sK23,sK22))
| ~ ssList(nil)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f646,f775]) ).
fof(f782,plain,
( totalorderedP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f417,f775]) ).
fof(f781,plain,
( strictorderedP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f416,f775]) ).
fof(f780,plain,
( cyclefreeP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f415,f775]) ).
fof(f779,plain,
( totalorderP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f414,f775]) ).
fof(f778,plain,
( duplicatefreeP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f413,f775]) ).
fof(f777,plain,
( strictorderP(sK22)
| ~ ssItem(sK20(sK23,sK22))
| ~ spl73_2 ),
inference(superposition,[],[f412,f775]) ).
fof(f689,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = app(sK34(X0),nil) ),
inference(resolution,[],[f468,f489]) ).
fof(f688,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = app(sK33(X0),nil) ),
inference(resolution,[],[f468,f488]) ).
fof(f646,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(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,[],[f135]) ).
fof(f135,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/sandbox/benchmark/theBenchmark.p',ax37) ).
fof(f570,plain,
! [X0,X1] :
( cons(X1,X0) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f180,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/sandbox/benchmark/theBenchmark.p',ax18) ).
fof(f569,plain,
! [X0,X1] :
( nil != cons(X1,X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f179]) ).
fof(f179,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/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f768,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f578,f468]) ).
fof(f767,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f578,f469]) ).
fof(f766,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f568,f468]) ).
fof(f765,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f568,f469]) ).
fof(f566,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f358,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/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f564,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f357]) ).
fof(f357,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(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,[],[f175]) ).
fof(f175,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/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f749,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK29(X0) = app(sK29(X0),nil) ),
inference(resolution,[],[f478,f468]) ).
fof(f748,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK29(X0) = app(nil,sK29(X0)) ),
inference(resolution,[],[f478,f469]) ).
fof(f478,plain,
! [X0] :
( ssList(sK29(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f289,plain,
! [X0] :
( ( tl(X0) = sK29(X0)
& ssList(sK29(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK29])],[f159,f288]) ).
fof(f288,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK29(X0)
& ssList(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,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/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f476,plain,
! [X0] :
( ssItem(sK28(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f287,plain,
! [X0] :
( ( hd(X0) = sK28(X0)
& ssItem(sK28(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK28])],[f157,f286]) ).
fof(f286,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK28(X0)
& ssItem(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f157,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f156]) ).
fof(f156,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/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f747,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f474,f468]) ).
fof(f746,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,[],[f153]) ).
fof(f153,plain,
! [X0] :
( ssList(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f152]) ).
fof(f152,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/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f473,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f151,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f150]) ).
fof(f150,plain,
! [X0] :
( ssItem(hd(X0))
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f22]) ).
fof(f22,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ssItem(hd(X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f471,plain,
! [X0] :
( ssItem(sK27(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( cons(sK27(X0),sK26(X0)) = X0
& ssItem(sK27(X0))
& ssList(sK26(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26,sK27])],[f149,f284,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK26(X0)) = X0
& ssItem(X2) )
& ssList(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f284,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK26(X0)) = X0
& ssItem(X2) )
=> ( cons(sK27(X0),sK26(X0)) = X0
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f149,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f148]) ).
fof(f148,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/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f745,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK26(X0) = app(sK26(X0),nil) ),
inference(resolution,[],[f470,f468]) ).
fof(f744,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK26(X0) = app(nil,sK26(X0)) ),
inference(resolution,[],[f470,f469]) ).
fof(f470,plain,
! [X0] :
( ssList(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f454,plain,
! [X0,X1] :
( ~ sP4(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0,X1] :
( ( sP4(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP4(X0,X1) ) ),
inference(rectify,[],[f279]) ).
fof(f279,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP4(X1,X0) ) ),
inference(flattening,[],[f278]) ).
fof(f278,plain,
! [X1,X0] :
( ( sP4(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP4(X1,X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f229,plain,
! [X1,X0] :
( sP4(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f738,plain,
( neq(sK23,nil)
| ~ spl73_2 ),
inference(resolution,[],[f383,f680]) ).
fof(f383,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| neq(X1,nil) ),
inference(cnf_transformation,[],[f253]) ).
fof(f560,plain,
! [X0] :
( ~ lt(sK60(X0),sK61(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,plain,
! [X0] :
( ( sP18(X0)
| ( ~ lt(sK60(X0),sK61(X0))
& app(app(sK62(X0),cons(sK60(X0),sK63(X0))),cons(sK61(X0),sK64(X0))) = X0
& ssList(sK64(X0))
& ssList(sK63(X0))
& ssList(sK62(X0))
& ssItem(sK61(X0))
& ssItem(sK60(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) )
| ~ sP18(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK60,sK61,sK62,sK63,sK64])],[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(sK60(X0),X2)
& app(app(X3,cons(sK60(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK60(X0),X2)
& app(app(X3,cons(sK60(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK60(X0),sK61(X0))
& app(app(X3,cons(sK60(X0),X4)),cons(sK61(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK61(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f352,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK60(X0),sK61(X0))
& app(app(X3,cons(sK60(X0),X4)),cons(sK61(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK60(X0),sK61(X0))
& app(app(sK62(X0),cons(sK60(X0),X4)),cons(sK61(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK62(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK60(X0),sK61(X0))
& app(app(sK62(X0),cons(sK60(X0),X4)),cons(sK61(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK60(X0),sK61(X0))
& app(app(sK62(X0),cons(sK60(X0),sK63(X0))),cons(sK61(X0),X5)) = X0
& ssList(X5) )
& ssList(sK63(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f354,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK60(X0),sK61(X0))
& app(app(sK62(X0),cons(sK60(X0),sK63(X0))),cons(sK61(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK60(X0),sK61(X0))
& app(app(sK62(X0),cons(sK60(X0),sK63(X0))),cons(sK61(X0),sK64(X0))) = X0
& ssList(sK64(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f349,plain,
! [X0] :
( ( sP18(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) )
| ~ sP18(X0) ) ),
inference(rectify,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( sP18(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) )
| ~ sP18(X0) ) ),
inference(nnf_transformation,[],[f250]) ).
fof(f250,plain,
! [X0] :
( sP18(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,[sP18])]) ).
fof(f549,plain,
! [X0] :
( ~ leq(sK55(X0),sK56(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ( sP16(X0)
| ( ~ leq(sK55(X0),sK56(X0))
& app(app(sK57(X0),cons(sK55(X0),sK58(X0))),cons(sK56(X0),sK59(X0))) = X0
& ssList(sK59(X0))
& ssList(sK58(X0))
& ssList(sK57(X0))
& ssItem(sK56(X0))
& ssItem(sK55(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) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK55,sK56,sK57,sK58,sK59])],[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(sK55(X0),X2)
& app(app(X3,cons(sK55(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK55(X0),X2)
& app(app(X3,cons(sK55(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK55(X0),sK56(X0))
& app(app(X3,cons(sK55(X0),X4)),cons(sK56(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK55(X0),sK56(X0))
& app(app(X3,cons(sK55(X0),X4)),cons(sK56(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK55(X0),sK56(X0))
& app(app(sK57(X0),cons(sK55(X0),X4)),cons(sK56(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK55(X0),sK56(X0))
& app(app(sK57(X0),cons(sK55(X0),X4)),cons(sK56(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK55(X0),sK56(X0))
& app(app(sK57(X0),cons(sK55(X0),sK58(X0))),cons(sK56(X0),X5)) = X0
& ssList(X5) )
& ssList(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK55(X0),sK56(X0))
& app(app(sK57(X0),cons(sK55(X0),sK58(X0))),cons(sK56(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK55(X0),sK56(X0))
& app(app(sK57(X0),cons(sK55(X0),sK58(X0))),cons(sK56(X0),sK59(X0))) = X0
& ssList(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0] :
( ( sP16(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) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP16(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) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f247,plain,
! [X0] :
( sP16(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,[sP16])]) ).
fof(f538,plain,
! [X0] :
( leq(sK51(X0),sK50(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ( sP14(X0)
| ( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(sK52(X0),cons(sK50(X0),sK53(X0))),cons(sK51(X0),sK54(X0))) = X0
& ssList(sK54(X0))
& ssList(sK53(X0))
& ssList(sK52(X0))
& ssItem(sK51(X0))
& ssItem(sK50(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) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK50,sK51,sK52,sK53,sK54])],[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,sK50(X0))
& leq(sK50(X0),X2)
& app(app(X3,cons(sK50(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK50(X0))
& leq(sK50(X0),X2)
& app(app(X3,cons(sK50(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(X3,cons(sK50(X0),X4)),cons(sK51(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(X3,cons(sK50(X0),X4)),cons(sK51(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(sK52(X0),cons(sK50(X0),X4)),cons(sK51(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(sK52(X0),cons(sK50(X0),X4)),cons(sK51(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(sK52(X0),cons(sK50(X0),sK53(X0))),cons(sK51(X0),X5)) = X0
& ssList(X5) )
& ssList(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ? [X5] :
( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(sK52(X0),cons(sK50(X0),sK53(X0))),cons(sK51(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK51(X0),sK50(X0))
& leq(sK50(X0),sK51(X0))
& app(app(sK52(X0),cons(sK50(X0),sK53(X0))),cons(sK51(X0),sK54(X0))) = X0
& ssList(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( sP14(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) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f244,plain,
! [X0] :
( sP14(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,[sP14])]) ).
fof(f537,plain,
! [X0] :
( leq(sK50(X0),sK51(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f526,plain,
! [X0] :
( ~ lt(sK46(X0),sK45(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( sP12(X0)
| ( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),sK49(X0))) = X0
& ssList(sK49(X0))
& ssList(sK48(X0))
& ssList(sK47(X0))
& ssItem(sK46(X0))
& ssItem(sK45(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) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK45,sK46,sK47,sK48,sK49])],[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,sK45(X0))
& ~ lt(sK45(X0),X2)
& app(app(X3,cons(sK45(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK45(X0))
& ~ lt(sK45(X0),X2)
& app(app(X3,cons(sK45(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(X3,cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(X3,cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),X4)),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),X5)) = X0
& ssList(X5) )
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK46(X0),sK45(X0))
& ~ lt(sK45(X0),sK46(X0))
& app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),sK49(X0))) = X0
& ssList(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ( sP12(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) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP12(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) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f241]) ).
fof(f241,plain,
! [X0] :
( sP12(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,[sP12])]) ).
fof(f525,plain,
! [X0] :
( ~ lt(sK45(X0),sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f514,plain,
! [X0] :
( ~ leq(sK41(X0),sK40(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( sP10(X0)
| ( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssList(sK42(X0))
& ssItem(sK41(X0))
& ssItem(sK40(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) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK40,sK41,sK42,sK43,sK44])],[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,sK40(X0))
& ~ leq(sK40(X0),X2)
& app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK40(X0))
& ~ leq(sK40(X0),X2)
& app(app(X3,cons(sK40(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(X3,cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(sK42(X0),cons(sK40(X0),X4)),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
& ssList(X5) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK41(X0),sK40(X0))
& ~ leq(sK40(X0),sK41(X0))
& app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ( sP10(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) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( sP10(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) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f238,plain,
! [X0] :
( sP10(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,[sP10])]) ).
fof(f513,plain,
! [X0] :
( ~ leq(sK40(X0),sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f502,plain,
! [X0] :
( sP8(X0)
| sK35(X0) = sK36(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ( sP8(X0)
| ( sK35(X0) = sK36(X0)
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
& ssList(sK39(X0))
& ssList(sK38(X0))
& ssList(sK37(X0))
& ssItem(sK36(X0))
& ssItem(sK35(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) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK35,sK36,sK37,sK38,sK39])],[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] :
( sK35(X0) = X2
& app(app(X3,cons(sK35(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK35(X0) = X2
& app(app(X3,cons(sK35(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK35(X0) = sK36(X0)
& app(app(X3,cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK35(X0) = sK36(X0)
& app(app(X3,cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK35(X0) = sK36(X0)
& app(app(sK37(X0),cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK35(X0) = sK36(X0)
& app(app(sK37(X0),cons(sK35(X0),X4)),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK35(X0) = sK36(X0)
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),X5)) = X0
& ssList(X5) )
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X5] :
( sK35(X0) = sK36(X0)
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),X5)) = X0
& ssList(X5) )
=> ( sK35(X0) = sK36(X0)
& app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0
& ssList(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ( sP8(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) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( sP8(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) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f235,plain,
! [X0] :
( sP8(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,[sP8])]) ).
fof(f491,plain,
! [X0] :
( sK31(X0) != sK32(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ( sP6(X0)
| ( sK31(X0) != sK32(X0)
& app(sK33(X0),cons(sK31(X0),cons(sK32(X0),sK34(X0)))) = X0
& ssList(sK34(X0))
& ssList(sK33(X0))
& ssItem(sK32(X0))
& ssItem(sK31(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34])],[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] :
( sK31(X0) != X2
& app(X3,cons(sK31(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK31(X0) != X2
& app(X3,cons(sK31(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK31(X0) != sK32(X0)
& app(X3,cons(sK31(X0),cons(sK32(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK31(X0) != sK32(X0)
& app(X3,cons(sK31(X0),cons(sK32(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK31(X0) != sK32(X0)
& app(sK33(X0),cons(sK31(X0),cons(sK32(X0),X4))) = X0
& ssList(X4) )
& ssList(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ? [X4] :
( sK31(X0) != sK32(X0)
& app(sK33(X0),cons(sK31(X0),cons(sK32(X0),X4))) = X0
& ssList(X4) )
=> ( sK31(X0) != sK32(X0)
& app(sK33(X0),cons(sK31(X0),cons(sK32(X0),sK34(X0)))) = X0
& ssList(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f296,plain,
! [X0] :
( ( sP6(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) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f295]) ).
fof(f295,plain,
! [X0] :
( ( sP6(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) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f232,plain,
! [X0] :
( sP6(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,[sP6])]) ).
fof(f480,plain,
! [X0] :
( ssItem(sK30(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f713,plain,
sK23 = app(nil,sK23),
inference(resolution,[],[f469,f391]) ).
fof(f712,plain,
sK22 = app(nil,sK22),
inference(resolution,[],[f469,f390]) ).
fof(f735,plain,
! [X0] :
( sP18(X0)
| sK64(X0) = app(nil,sK64(X0)) ),
inference(resolution,[],[f469,f558]) ).
fof(f734,plain,
! [X0] :
( sP18(X0)
| sK63(X0) = app(nil,sK63(X0)) ),
inference(resolution,[],[f469,f557]) ).
fof(f733,plain,
! [X0] :
( sP18(X0)
| sK62(X0) = app(nil,sK62(X0)) ),
inference(resolution,[],[f469,f556]) ).
fof(f732,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = app(nil,sK59(X0)) ),
inference(resolution,[],[f469,f547]) ).
fof(f731,plain,
! [X0] :
( sP16(X0)
| sK58(X0) = app(nil,sK58(X0)) ),
inference(resolution,[],[f469,f546]) ).
fof(f730,plain,
! [X0] :
( sP16(X0)
| sK57(X0) = app(nil,sK57(X0)) ),
inference(resolution,[],[f469,f545]) ).
fof(f729,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = app(nil,sK54(X0)) ),
inference(resolution,[],[f469,f535]) ).
fof(f728,plain,
! [X0] :
( sP14(X0)
| sK53(X0) = app(nil,sK53(X0)) ),
inference(resolution,[],[f469,f534]) ).
fof(f727,plain,
! [X0] :
( sP14(X0)
| sK52(X0) = app(nil,sK52(X0)) ),
inference(resolution,[],[f469,f533]) ).
fof(f726,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = app(nil,sK49(X0)) ),
inference(resolution,[],[f469,f523]) ).
fof(f725,plain,
! [X0] :
( sP12(X0)
| sK48(X0) = app(nil,sK48(X0)) ),
inference(resolution,[],[f469,f522]) ).
fof(f724,plain,
! [X0] :
( sP12(X0)
| sK47(X0) = app(nil,sK47(X0)) ),
inference(resolution,[],[f469,f521]) ).
fof(f723,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = app(nil,sK44(X0)) ),
inference(resolution,[],[f469,f511]) ).
fof(f722,plain,
! [X0] :
( sP10(X0)
| sK43(X0) = app(nil,sK43(X0)) ),
inference(resolution,[],[f469,f510]) ).
fof(f721,plain,
! [X0] :
( sP10(X0)
| sK42(X0) = app(nil,sK42(X0)) ),
inference(resolution,[],[f469,f509]) ).
fof(f720,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = app(nil,sK39(X0)) ),
inference(resolution,[],[f469,f500]) ).
fof(f719,plain,
! [X0] :
( sP8(X0)
| sK38(X0) = app(nil,sK38(X0)) ),
inference(resolution,[],[f469,f499]) ).
fof(f718,plain,
! [X0] :
( sP8(X0)
| sK37(X0) = app(nil,sK37(X0)) ),
inference(resolution,[],[f469,f498]) ).
fof(f717,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = app(nil,sK34(X0)) ),
inference(resolution,[],[f469,f489]) ).
fof(f716,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = app(nil,sK33(X0)) ),
inference(resolution,[],[f469,f488]) ).
fof(f737,plain,
sK23 = app(nil,sK23),
inference(forward_demodulation,[],[f715,f394]) ).
fof(f715,plain,
sK25 = app(nil,sK25),
inference(resolution,[],[f469,f393]) ).
fof(f736,plain,
sK22 = app(nil,sK22),
inference(forward_demodulation,[],[f714,f395]) ).
fof(f714,plain,
sK24 = app(nil,sK24),
inference(resolution,[],[f469,f392]) ).
fof(f711,plain,
! [X0,X1] :
( sK21(X0,X1) = app(nil,sK21(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f469,f387]) ).
fof(f469,plain,
! [X0] :
( ~ ssList(X0)
| app(nil,X0) = X0 ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f685,plain,
sK23 = app(sK23,nil),
inference(resolution,[],[f468,f391]) ).
fof(f684,plain,
sK22 = app(sK22,nil),
inference(resolution,[],[f468,f390]) ).
fof(f707,plain,
! [X0] :
( sP18(X0)
| sK64(X0) = app(sK64(X0),nil) ),
inference(resolution,[],[f468,f558]) ).
fof(f706,plain,
! [X0] :
( sP18(X0)
| sK63(X0) = app(sK63(X0),nil) ),
inference(resolution,[],[f468,f557]) ).
fof(f705,plain,
! [X0] :
( sP18(X0)
| sK62(X0) = app(sK62(X0),nil) ),
inference(resolution,[],[f468,f556]) ).
fof(f704,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = app(sK59(X0),nil) ),
inference(resolution,[],[f468,f547]) ).
fof(f703,plain,
! [X0] :
( sP16(X0)
| sK58(X0) = app(sK58(X0),nil) ),
inference(resolution,[],[f468,f546]) ).
fof(f702,plain,
! [X0] :
( sP16(X0)
| sK57(X0) = app(sK57(X0),nil) ),
inference(resolution,[],[f468,f545]) ).
fof(f701,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = app(sK54(X0),nil) ),
inference(resolution,[],[f468,f535]) ).
fof(f700,plain,
! [X0] :
( sP14(X0)
| sK53(X0) = app(sK53(X0),nil) ),
inference(resolution,[],[f468,f534]) ).
fof(f699,plain,
! [X0] :
( sP14(X0)
| sK52(X0) = app(sK52(X0),nil) ),
inference(resolution,[],[f468,f533]) ).
fof(f698,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = app(sK49(X0),nil) ),
inference(resolution,[],[f468,f523]) ).
fof(f697,plain,
! [X0] :
( sP12(X0)
| sK48(X0) = app(sK48(X0),nil) ),
inference(resolution,[],[f468,f522]) ).
fof(f696,plain,
! [X0] :
( sP12(X0)
| sK47(X0) = app(sK47(X0),nil) ),
inference(resolution,[],[f468,f521]) ).
fof(f695,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = app(sK44(X0),nil) ),
inference(resolution,[],[f468,f511]) ).
fof(f694,plain,
! [X0] :
( sP10(X0)
| sK43(X0) = app(sK43(X0),nil) ),
inference(resolution,[],[f468,f510]) ).
fof(f693,plain,
! [X0] :
( sP10(X0)
| sK42(X0) = app(sK42(X0),nil) ),
inference(resolution,[],[f468,f509]) ).
fof(f692,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = app(sK39(X0),nil) ),
inference(resolution,[],[f468,f500]) ).
fof(f691,plain,
! [X0] :
( sP8(X0)
| sK38(X0) = app(sK38(X0),nil) ),
inference(resolution,[],[f468,f499]) ).
fof(f690,plain,
! [X0] :
( sP8(X0)
| sK37(X0) = app(sK37(X0),nil) ),
inference(resolution,[],[f468,f498]) ).
fof(f709,plain,
sK23 = app(sK23,nil),
inference(forward_demodulation,[],[f687,f394]) ).
fof(f687,plain,
sK25 = app(sK25,nil),
inference(resolution,[],[f468,f393]) ).
fof(f708,plain,
sK22 = app(sK22,nil),
inference(forward_demodulation,[],[f686,f395]) ).
fof(f686,plain,
sK24 = app(sK24,nil),
inference(resolution,[],[f468,f392]) ).
fof(f683,plain,
! [X0,X1] :
( sK21(X0,X1) = app(sK21(X0,X1),nil)
| ~ sP0(X0,X1) ),
inference(resolution,[],[f468,f387]) ).
fof(f468,plain,
! [X0] :
( ~ ssList(X0)
| app(X0,nil) = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f458,plain,
! [X0,X1] :
( sP5(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( ! [X1] :
( sP5(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f138,f230,f229]) ).
fof(f230,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP4(X1,X0) )
| ~ sP5(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f138,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/sandbox/benchmark/theBenchmark.p',ax70) ).
fof(f386,plain,
! [X0,X1] :
( ssItem(sK20(X0,X1))
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f258]) ).
fof(f665,plain,
( sP1(sK22,sK23,sK22,sK23)
| neq(sK23,nil) ),
inference(forward_demodulation,[],[f664,f395]) ).
fof(f664,plain,
( sP1(sK22,sK23,sK24,sK23)
| neq(sK23,nil) ),
inference(forward_demodulation,[],[f396,f394]) ).
fof(f672,plain,
( sP1(sK22,sK23,sK22,sK23)
| ~ neq(sK23,nil) ),
inference(forward_demodulation,[],[f671,f395]) ).
fof(f671,plain,
( sP1(sK22,sK23,sK24,sK23)
| ~ neq(sK23,nil) ),
inference(forward_demodulation,[],[f670,f394]) ).
fof(f670,plain,
( ~ neq(sK23,nil)
| sP1(sK22,sK23,sK24,sK25) ),
inference(forward_demodulation,[],[f397,f394]) ).
fof(f663,plain,
! [X0] :
( ~ sP18(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f552,f561]) ).
fof(f662,plain,
! [X0] :
( sP18(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f551,f561]) ).
fof(f661,plain,
! [X0] :
( ~ sP16(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f541,f550]) ).
fof(f660,plain,
! [X0] :
( sP16(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f540,f550]) ).
fof(f659,plain,
! [X0] :
( sP14(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f528,f539]) ).
fof(f658,plain,
! [X0] :
( sP12(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f516,f527]) ).
fof(f657,plain,
! [X0] :
( sP10(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f504,f515]) ).
fof(f656,plain,
! [X0] :
( sP8(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f493,f503]) ).
fof(f655,plain,
! [X0] :
( sP6(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f483,f492]) ).
fof(f552,plain,
! [X0] :
( ~ sP19(X0)
| ~ sP18(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP18(X0) )
& ( sP18(X0)
| ~ strictorderedP(X0) ) )
| ~ sP19(X0) ),
inference(nnf_transformation,[],[f251]) ).
fof(f251,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP18(X0) )
| ~ sP19(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP19])]) ).
fof(f551,plain,
! [X0] :
( ~ sP19(X0)
| ~ strictorderedP(X0)
| sP18(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f541,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ totalorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f248,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
fof(f540,plain,
! [X0] :
( ~ sP17(X0)
| ~ totalorderedP(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f528,plain,
! [X0] :
( ~ sP15(X0)
| ~ cyclefreeP(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f245,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
fof(f516,plain,
! [X0] :
( ~ sP13(X0)
| ~ strictorderP(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ strictorderP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f242,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
fof(f504,plain,
! [X0] :
( ~ sP11(X0)
| ~ totalorderP(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ totalorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f239,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
fof(f493,plain,
! [X0] :
( ~ sP9(X0)
| ~ duplicatefreeP(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
fof(f483,plain,
! [X0] :
( ~ sP7(X0)
| ~ equalelemsP(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ equalelemsP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f233,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f417,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f110]) ).
fof(f110,plain,
! [X0] :
( totalorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f65]) ).
fof(f65,axiom,
! [X0] :
( ssItem(X0)
=> totalorderedP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f416,plain,
! [X0] :
( strictorderedP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f109]) ).
fof(f109,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/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f415,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,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/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f414,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f413,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/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f412,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,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/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f411,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,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/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f652,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f385,f384,f383,f389,f388,f387,f386,f397,f396,f395,f394,f393,f392,f391,f390,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,f424,f423,f426,f648,f428,f427,f431,f430,f647,f432,f433,f434,f435,f436,f439,f646,f437,f645,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,f644,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,f649,f562,f633,f650,f564,f634,f651,f566,f568,f569,f570,f571,f572,f573,f635,f576,f575,f574,f578,f579,f580,f581,f582,f583,f584,f586,f643,f637,f589,f588,f587,f638,f592,f591,f639,f595,f594,f642]) ).
fof(f648,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f615]) ).
fof(f615,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f425]) ).
fof(f425,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f265,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f643,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f636]) ).
fof(f636,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f585]) ).
fof(f585,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f198]) ).
fof(f198,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f558,plain,
! [X0] :
( ssList(sK64(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f557,plain,
! [X0] :
( ssList(sK63(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f556,plain,
! [X0] :
( ssList(sK62(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f555,plain,
! [X0] :
( ssItem(sK61(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f554,plain,
! [X0] :
( ssItem(sK60(X0))
| sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f547,plain,
! [X0] :
( ssList(sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f546,plain,
! [X0] :
( ssList(sK58(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f545,plain,
! [X0] :
( ssList(sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f544,plain,
! [X0] :
( ssItem(sK56(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f543,plain,
! [X0] :
( ssItem(sK55(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f535,plain,
! [X0] :
( ssList(sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f534,plain,
! [X0] :
( ssList(sK53(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f533,plain,
! [X0] :
( ssList(sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f532,plain,
! [X0] :
( ssItem(sK51(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f531,plain,
! [X0] :
( ssItem(sK50(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f523,plain,
! [X0] :
( ssList(sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f522,plain,
! [X0] :
( ssList(sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f521,plain,
! [X0] :
( ssList(sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f520,plain,
! [X0] :
( ssItem(sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f519,plain,
! [X0] :
( ssItem(sK45(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f511,plain,
! [X0] :
( ssList(sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f510,plain,
! [X0] :
( ssList(sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f509,plain,
! [X0] :
( ssList(sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f508,plain,
! [X0] :
( ssItem(sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f507,plain,
! [X0] :
( ssItem(sK40(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f500,plain,
! [X0] :
( ssList(sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0] :
( ssList(sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f498,plain,
! [X0] :
( ssList(sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f497,plain,
! [X0] :
( ssItem(sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f496,plain,
! [X0] :
( ssItem(sK35(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f489,plain,
! [X0] :
( ssList(sK34(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0] :
( ssList(sK33(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK32(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f486,plain,
! [X0] :
( ssItem(sK31(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f467,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f49]) ).
fof(f49,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax49) ).
fof(f466,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax42) ).
fof(f465,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f464,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax55) ).
fof(f463,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f462,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f410,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f103,plain,
! [X0] :
( leq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f31]) ).
fof(f31,axiom,
! [X0] :
( ssItem(X0)
=> leq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax31) ).
fof(f409,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f102]) ).
fof(f102,plain,
! [X0] :
( geq(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f89]) ).
fof(f89,axiom,
! [X0] :
( ssItem(X0)
=> geq(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax89) ).
fof(f408,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ lt(X0,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f90]) ).
fof(f90,axiom,
! [X0] :
( ssItem(X0)
=> ~ lt(X0,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax90) ).
fof(f407,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f100]) ).
fof(f100,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f561,plain,
! [X0] :
( sP19(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f252,plain,
! [X0] :
( sP19(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f174,f251,f250]) ).
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(flattening,[],[f173]) ).
fof(f173,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/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f550,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f172,f248,f247]) ).
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(flattening,[],[f171]) ).
fof(f171,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/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f539,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f170,f245,f244]) ).
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(flattening,[],[f169]) ).
fof(f169,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/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f527,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f168,f242,f241]) ).
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(flattening,[],[f167]) ).
fof(f167,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/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f515,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f166,f239,f238]) ).
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(flattening,[],[f165]) ).
fof(f165,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/sandbox/benchmark/theBenchmark.p',ax9) ).
fof(f503,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f164,f236,f235]) ).
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(flattening,[],[f163]) ).
fof(f163,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/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f492,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f162,f233,f232]) ).
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(flattening,[],[f161]) ).
fof(f161,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/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f651,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f385,f384,f383,f389,f388,f387,f386,f397,f396,f395,f394,f393,f392,f391,f390,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,f424,f423,f426,f648,f428,f427,f431,f430,f647,f432,f433,f434,f435,f436,f439,f646,f437,f645,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,f644,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,f649,f562,f633,f650,f564,f634]) ).
fof(f650,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f385,f384,f383,f389,f388,f387,f386,f397,f396,f395,f394,f393,f392,f391,f390,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,f424,f423,f426,f648,f428,f427,f431,f430,f647,f432,f433,f434,f435,f436,f439,f646,f437,f645,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,f644,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,f649,f562,f633]) ).
fof(f649,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f385,f384,f383,f389,f388,f387,f386,f397,f396,f395,f394,f393,f392,f391,f390,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,f424,f423,f426,f648,f428,f427,f431,f430,f647,f432,f433,f434,f435,f436,f439,f646,f437,f645,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,f644,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] : sP4(nil,X1),
inference(equality_resolution,[],[f456]) ).
fof(f456,plain,
! [X0,X1] :
( sP4(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f619,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f448]) ).
fof(f448,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f614,plain,
sK71 != sK72,
inference(cnf_transformation,[],[f382]) ).
fof(f395,plain,
sK22 = sK24,
inference(cnf_transformation,[],[f263]) ).
fof(f394,plain,
sK23 = sK25,
inference(cnf_transformation,[],[f263]) ).
fof(f404,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f403,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f402,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f401,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f400,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f399,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f398,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f393,plain,
ssList(sK25),
inference(cnf_transformation,[],[f263]) ).
fof(f392,plain,
ssList(sK24),
inference(cnf_transformation,[],[f263]) ).
fof(f391,plain,
ssList(sK23),
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,[],[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(flattening,[],[f221]) ).
fof(f221,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ! [X3] :
( segmentP(app(app(X2,X0),X3),X1)
| ~ segmentP(X0,X1)
| ~ ssList(X3) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f56]) ).
fof(f56,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( segmentP(X0,X1)
=> segmentP(app(app(X2,X0),X3),X1) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax56) ).
fof(f610,plain,
! [X2,X0,X1] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f220]) ).
fof(f220,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f219]) ).
fof(f219,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/sandbox/benchmark/theBenchmark.p',ax47) ).
fof(f609,plain,
! [X2,X0,X1] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,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/sandbox/benchmark/theBenchmark.p',ax40) ).
fof(f608,plain,
! [X2,X0,X1] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f53]) ).
fof(f53,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( segmentP(X1,X2)
& segmentP(X0,X1) )
=> segmentP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax53) ).
fof(f607,plain,
! [X2,X0,X1] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f79]) ).
fof(f79,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X2,X1) = app(X0,X1)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax79) ).
fof(f606,plain,
! [X2,X0,X1] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f80]) ).
fof(f80,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( app(X1,X2) = app(X1,X0)
=> X0 = X2 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax80) ).
fof(f605,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f210]) ).
fof(f210,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f209]) ).
fof(f209,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/sandbox/benchmark/theBenchmark.p',ax50) ).
fof(f604,plain,
! [X2,X0,X1] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(app(X0,X2),X1)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,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/sandbox/benchmark/theBenchmark.p',ax43) ).
fof(f603,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f206]) ).
fof(f206,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/sandbox/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,[],[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(flattening,[],[f204]) ).
fof(f204,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/sandbox/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,[],[f205]) ).
fof(f600,plain,
! [X2,X0,X1] :
( cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f203]) ).
fof(f203,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/sandbox/benchmark/theBenchmark.p',ax27) ).
fof(f597,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ 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,[],[f202]) ).
fof(f202,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/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f598,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f379]) ).
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(f594,plain,
! [X0,X1] :
( ssList(sK70(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f595,plain,
! [X0,X1] :
( app(sK70(X0,X1),X1) = X0
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f377]) ).
fof(f591,plain,
! [X0,X1] :
( ssList(sK69(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f373,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])],[f371,f372]) ).
fof(f372,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK69(X0,X1)) = X0
& ssList(sK69(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f371,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,[],[f370]) ).
fof(f370,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,[],[f200]) ).
fof(f200,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/sandbox/benchmark/theBenchmark.p',ax5) ).
fof(f592,plain,
! [X0,X1] :
( app(X1,sK69(X0,X1)) = X0
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f638,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f593]) ).
fof(f593,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f373]) ).
fof(f587,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f369,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])],[f366,f368,f367]) ).
fof(f367,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(f368,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(f366,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,[],[f365]) ).
fof(f365,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,[],[f199]) ).
fof(f199,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/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f588,plain,
! [X0,X1] :
( ssList(sK68(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f589,plain,
! [X0,X1] :
( app(app(sK67(X0,X1),X1),sK68(X0,X1)) = X0
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f369]) ).
fof(f637,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,[],[f590]) ).
fof(f590,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,[],[f369]) ).
fof(f586,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f584,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,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/sandbox/benchmark/theBenchmark.p',ax48) ).
fof(f583,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,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/sandbox/benchmark/theBenchmark.p',ax41) ).
fof(f582,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f54]) ).
fof(f54,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( segmentP(X1,X0)
& segmentP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax54) ).
fof(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,[],[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(flattening,[],[f190]) ).
fof(f190,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/sandbox/benchmark/theBenchmark.p',ax77) ).
fof(f580,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,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/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f579,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,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/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f574,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(sK65(X0,X1),cons(X1,sK66(X0,X1))) = X0
& ssList(sK66(X0,X1))
& ssList(sK65(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK65,sK66])],[f360,f362,f361]) ).
fof(f361,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK65(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X5] :
( app(sK65(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK65(X0,X1),cons(X1,sK66(X0,X1))) = X0
& ssList(sK66(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,[],[f184]) ).
fof(f184,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/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f575,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f363]) ).
fof(f576,plain,
! [X0,X1] :
( app(sK65(X0,X1),cons(X1,sK66(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(f571,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssItem(X1)
| tl(cons(X1,X0)) = X0 ),
inference(cnf_transformation,[],[f181]) ).
fof(f181,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/sandbox/benchmark/theBenchmark.p',ax25) ).
fof(f634,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f567]) ).
fof(f567,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f358]) ).
fof(f633,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f565]) ).
fof(f565,plain,
! [X0] :
( frontsegP(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)
| ~ sP18(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)
| ~ sP18(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f559,plain,
! [X0] :
( sP18(X0)
| app(app(sK62(X0),cons(sK60(X0),sK63(X0))),cons(sK61(X0),sK64(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)
| ~ sP16(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)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f548,plain,
! [X0] :
( sP16(X0)
| app(app(sK57(X0),cons(sK55(X0),sK58(X0))),cons(sK56(X0),sK59(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)
| ~ sP14(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)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f536,plain,
! [X0] :
( sP14(X0)
| app(app(sK52(X0),cons(sK50(X0),sK53(X0))),cons(sK51(X0),sK54(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)
| ~ sP12(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)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f524,plain,
! [X0] :
( sP12(X0)
| app(app(sK47(X0),cons(sK45(X0),sK48(X0))),cons(sK46(X0),sK49(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)
| ~ sP10(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)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f512,plain,
! [X0] :
( sP10(X0)
| app(app(sK42(X0),cons(sK40(X0),sK43(X0))),cons(sK41(X0),sK44(X0))) = X0 ),
inference(cnf_transformation,[],[f319]) ).
fof(f644,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ sP8(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)
| ~ sP8(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)
| ~ sP8(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)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f501,plain,
! [X0] :
( sP8(X0)
| app(app(sK37(X0),cons(sK35(X0),sK38(X0))),cons(sK36(X0),sK39(X0))) = X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f624,plain,
! [X8,X6,X7,X5] :
( X5 = X6
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP6(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)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f490,plain,
! [X0] :
( sP6(X0)
| app(sK33(X0),cons(sK31(X0),cons(sK32(X0),sK34(X0)))) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f479,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK29(X0) ),
inference(cnf_transformation,[],[f289]) ).
fof(f477,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK28(X0) ),
inference(cnf_transformation,[],[f287]) ).
fof(f475,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(hd(X0),tl(X0)) = X0 ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f472,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK27(X0),sK26(X0)) = X0 ),
inference(cnf_transformation,[],[f285]) ).
fof(f459,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,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,[],[f139]) ).
fof(f139,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/sandbox/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(f461,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f282]) ).
fof(f455,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP4(X0,X1) ),
inference(cnf_transformation,[],[f280]) ).
fof(f457,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP4(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f280]) ).
fof(f451,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f277,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP4(X1,X0) )
& ( sP4(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP5(X0,X1) ),
inference(nnf_transformation,[],[f230]) ).
fof(f452,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP4(X1,X0)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f277]) ).
fof(f447,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f276]) ).
fof(f449,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP2(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f443,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f444,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f273]) ).
fof(f440,plain,
! [X2,X3,X0,X1] :
( X0 = X1
| ~ frontsegP(cons(X0,X2),cons(X1,X3))
| ~ 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,[],[f136]) ).
fof(f136,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/sandbox/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(f645,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(f437,plain,
! [X2,X0,X1] :
( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f270]) ).
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(f436,plain,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f134]) ).
fof(f134,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ lt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f133]) ).
fof(f133,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/sandbox/benchmark/theBenchmark.p',ax34) ).
fof(f435,plain,
! [X2,X0,X1] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f132]) ).
fof(f132,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( lt(X0,X2)
| ~ lt(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f131]) ).
fof(f131,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/sandbox/benchmark/theBenchmark.p',ax91) ).
fof(f434,plain,
! [X2,X0,X1] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f130]) ).
fof(f130,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( leq(X0,X2)
| ~ leq(X1,X2)
| ~ leq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f129]) ).
fof(f129,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/sandbox/benchmark/theBenchmark.p',ax30) ).
fof(f433,plain,
! [X2,X0,X1] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f128]) ).
fof(f128,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( geq(X0,X2)
| ~ geq(X1,X2)
| ~ geq(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f127]) ).
fof(f127,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/sandbox/benchmark/theBenchmark.p',ax88) ).
fof(f432,plain,
! [X2,X0,X1] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f126]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( gt(X0,X2)
| ~ gt(X1,X2)
| ~ gt(X0,X1)
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f125]) ).
fof(f125,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/sandbox/benchmark/theBenchmark.p',ax95) ).
fof(f647,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(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,[],[f124]) ).
fof(f124,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/sandbox/benchmark/theBenchmark.p',ax93) ).
fof(f430,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(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(f427,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,[],[f123]) ).
fof(f123,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/sandbox/benchmark/theBenchmark.p',ax32) ).
fof(f428,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f266]) ).
fof(f426,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f265]) ).
fof(f423,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,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/sandbox/benchmark/theBenchmark.p',ax35) ).
fof(f424,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f264]) ).
fof(f422,plain,
! [X0,X1] :
( ~ leq(X1,X0)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f120]) ).
fof(f120,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ leq(X1,X0)
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f119]) ).
fof(f119,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/sandbox/benchmark/theBenchmark.p',ax29) ).
fof(f421,plain,
! [X0,X1] :
( ~ geq(X1,X0)
| X0 = X1
| ~ geq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f118]) ).
fof(f118,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ geq(X1,X0)
| ~ geq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f117]) ).
fof(f117,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/sandbox/benchmark/theBenchmark.p',ax87) ).
fof(f420,plain,
! [X0,X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f116]) ).
fof(f116,plain,
! [X0] :
( ! [X1] :
( ~ lt(X1,X0)
| ~ lt(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f115]) ).
fof(f115,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/sandbox/benchmark/theBenchmark.p',ax33) ).
fof(f419,plain,
! [X0,X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f114]) ).
fof(f114,plain,
! [X0] :
( ! [X1] :
( lt(X0,X1)
| X0 = X1
| ~ leq(X0,X1)
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f113]) ).
fof(f113,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/sandbox/benchmark/theBenchmark.p',ax92) ).
fof(f396,plain,
( neq(sK23,nil)
| sP1(sK22,sK23,sK24,sK25) ),
inference(cnf_transformation,[],[f263]) ).
fof(f397,plain,
( ~ neq(sK25,nil)
| sP1(sK22,sK23,sK24,sK25) ),
inference(cnf_transformation,[],[f263]) ).
fof(f385,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ neq(X0,nil)
| ~ rearsegP(X1,X0) ),
inference(cnf_transformation,[],[f253]) ).
fof(f1474,plain,
( nil = sK22
| sK22 = cons(sK27(sK22),sK26(sK22)) ),
inference(resolution,[],[f472,f390]) ).
fof(f1929,plain,
( sK27(sK22) = hd(cons(sK27(sK22),sK26(sK22)))
| ~ spl73_11
| ~ spl73_19 ),
inference(resolution,[],[f1916,f1539]) ).
fof(f1539,plain,
( ssItem(sK27(sK22))
| ~ spl73_11 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1916,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK26(sK22))) = X0 )
| ~ spl73_19 ),
inference(resolution,[],[f1887,f572]) ).
fof(f1991,plain,
( sP2(sK26(sK22),hd(sK22))
| ~ sP3(sK27(sK22),sK26(sK22))
| ~ spl73_2
| ~ spl73_3
| ~ spl73_11
| ~ spl73_19 ),
inference(forward_demodulation,[],[f1523,f1951]) ).
fof(f1523,plain,
( sP2(sK26(sK22),sK27(sK22))
| ~ sP3(sK27(sK22),sK26(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1515,f809]) ).
fof(f1515,plain,
( ~ totalorderedP(sK22)
| sP2(sK26(sK22),sK27(sK22))
| ~ sP3(sK27(sK22),sK26(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(superposition,[],[f443,f1507]) ).
fof(f1908,plain,
( ~ spl73_2
| ~ spl73_3
| spl73_19 ),
inference(avatar_contradiction_clause,[],[f1907]) ).
fof(f1907,plain,
( $false
| ~ spl73_2
| ~ spl73_3
| spl73_19 ),
inference(subsumption_resolution,[],[f1906,f390]) ).
fof(f1906,plain,
( ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3
| spl73_19 ),
inference(subsumption_resolution,[],[f1905,f810]) ).
fof(f1905,plain,
( nil = sK22
| ~ ssList(sK22)
| spl73_19 ),
inference(resolution,[],[f1888,f470]) ).
fof(f1888,plain,
( ~ ssList(sK26(sK22))
| spl73_19 ),
inference(avatar_component_clause,[],[f1886]) ).
fof(f1893,plain,
( ~ spl73_19
| spl73_20
| ~ spl73_2
| ~ spl73_3
| ~ spl73_11 ),
inference(avatar_split_clause,[],[f1884,f1538,f793,f678,f1890,f1886]) ).
fof(f1890,plain,
( spl73_20
<=> memberP(sK22,sK27(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_20])]) ).
fof(f1884,plain,
( memberP(sK22,sK27(sK22))
| ~ ssList(sK26(sK22))
| ~ spl73_2
| ~ spl73_3
| ~ spl73_11 ),
inference(subsumption_resolution,[],[f1522,f1539]) ).
fof(f1522,plain,
( memberP(sK22,sK27(sK22))
| ~ ssList(sK26(sK22))
| ~ ssItem(sK27(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(superposition,[],[f646,f1507]) ).
fof(f1722,plain,
( spl73_6
| spl73_17 ),
inference(avatar_contradiction_clause,[],[f1721]) ).
fof(f1721,plain,
( $false
| spl73_6
| spl73_17 ),
inference(subsumption_resolution,[],[f1720,f391]) ).
fof(f1720,plain,
( ~ ssList(sK23)
| spl73_6
| spl73_17 ),
inference(subsumption_resolution,[],[f1719,f894]) ).
fof(f894,plain,
( nil != sK23
| spl73_6 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f893,plain,
( spl73_6
<=> nil = sK23 ),
introduced(avatar_definition,[new_symbols(naming,[spl73_6])]) ).
fof(f1719,plain,
( nil = sK23
| ~ ssList(sK23)
| spl73_17 ),
inference(resolution,[],[f1713,f470]) ).
fof(f1713,plain,
( ~ ssList(sK26(sK23))
| spl73_17 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1711,plain,
( spl73_17
<=> ssList(sK26(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_17])]) ).
fof(f1718,plain,
( ~ spl73_17
| spl73_18
| spl73_6
| ~ spl73_13 ),
inference(avatar_split_clause,[],[f1690,f1557,f893,f1715,f1711]) ).
fof(f1715,plain,
( spl73_18
<=> memberP(sK23,sK27(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_18])]) ).
fof(f1557,plain,
( spl73_13
<=> ssItem(sK27(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_13])]) ).
fof(f1690,plain,
( memberP(sK23,sK27(sK23))
| ~ ssList(sK26(sK23))
| spl73_6
| ~ spl73_13 ),
inference(subsumption_resolution,[],[f1689,f1558]) ).
fof(f1558,plain,
( ssItem(sK27(sK23))
| ~ spl73_13 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f1689,plain,
( memberP(sK23,sK27(sK23))
| ~ ssList(sK26(sK23))
| ~ ssItem(sK27(sK23))
| spl73_6 ),
inference(superposition,[],[f646,f1658]) ).
fof(f1658,plain,
( sK23 = cons(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(global_subsumption,[],[f389,f397,f396,f419,f421,f422,f431,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f461,f460,f459,f490,f624,f501,f644,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f579,f580,f581,f582,f583,f584,f637,f589,f638,f592,f639,f595,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f386,f387,f450,f458,f468,f683,f708,f709,f684,f685,f469,f711,f736,f737,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f384,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f418,f420,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f423,f700,f701,f702,f812,f703,f813,f704,f814,f705,f815,f706,f816,f707,f817,f716,f717,f718,f424,f820,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f426,f730,f826,f731,f827,f732,f828,f733,f829,f734,f830,f735,f831,f427,f428,f430,f443,f444,f447,f451,f452,f455,f846,f847,f848,f477,f880,f850,f852,f853,f886,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f855,f894,f479,f929,f899,f901,f902,f937,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f481,f931,f571,f940,f941,f943,f944,f971,f972,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f945,f973,f976,f977,f993,f994,f946,f997,f1000,f1001,f1017,f1018,f572,f1021,f1022,f1024,f1025,f1052,f1053,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1026,f1054,f1055,f1057,f1058,f1059,f1074,f1076,f1077,f1075,f1079,f1080,f1027,f1082,f1083,f1085,f1086,f1087,f1102,f1104,f1105,f1103,f1107,f1108,f586,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f623,f1118,f1155,f903,f1156,f854,f385,f574,f1225,f1226,f1227,f1228,f1229,f1230,f989,f990,f991,f992,f1003,f1004,f1005,f1006,f1007,f1008,f575,f1238,f1239,f1240,f1241,f1242,f1243,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1246,f1016,f1247,f1060,f1061,f1062,f587,f1248,f1249,f1250,f1251,f1252,f1253,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1254,f1071,f1255,f1072,f1256,f1073,f1257,f588,f1258,f1259,f1260,f1261,f1262,f1263,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1264,f591,f1265,f1266,f1267,f1268,f1269,f1270,f1099,f1271,f1100,f1272,f1101,f1273,f942,f1280,f1281,f1283,f1284,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1023,f1308,f1309,f1311,f1312,f1313,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f594,f1333,f1334,f1335,f1336,f1337,f1338,f449,f1382,f1385,f1386,f1389,f1390,f1329,f1409,f1410,f1411,f1330,f1413,f1414,f1415,f457,f1429,f1430,f1434,f1435,f1436,f1437,f974,f978,f1458,f998,f1002,f1462,f1234,f1463,f1235,f1464,f1236,f1465,f1237,f1466,f1244,f1467,f1245,f1468,f472,f1506,f1470,f1472,f1473,f1514,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1508,f1527,f1528,f1529,f1530,f1533,f1534,f1536,f1570,f475,f1641,f1605,f1607,f1608,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1653,f1654,f1610,f1655,f904,f1656,f1573,f1657,f1475]) ).
fof(f1475,plain,
( nil = sK23
| sK23 = cons(sK27(sK23),sK26(sK23)) ),
inference(resolution,[],[f472,f391]) ).
fof(f1657,plain,
( tl(sK23) = sK29(sK23)
| spl73_6 ),
inference(global_subsumption,[],[f389,f397,f396,f419,f421,f422,f431,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f461,f460,f459,f490,f624,f501,f644,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f579,f580,f581,f582,f583,f584,f637,f589,f638,f592,f639,f595,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f386,f387,f450,f458,f468,f683,f708,f709,f684,f685,f469,f711,f736,f737,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f384,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f418,f420,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f423,f700,f701,f702,f812,f703,f813,f704,f814,f705,f815,f706,f816,f707,f817,f716,f717,f718,f424,f820,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f426,f730,f826,f731,f827,f732,f828,f733,f829,f734,f830,f735,f831,f427,f428,f430,f443,f444,f447,f451,f452,f455,f846,f847,f848,f477,f880,f850,f852,f853,f886,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f855,f894,f479,f929,f899,f901,f902,f937,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f481,f931,f571,f940,f941,f943,f944,f971,f972,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f945,f973,f976,f977,f993,f994,f946,f997,f1000,f1001,f1017,f1018,f572,f1021,f1022,f1024,f1025,f1052,f1053,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1026,f1054,f1055,f1057,f1058,f1059,f1074,f1076,f1077,f1075,f1079,f1080,f1027,f1082,f1083,f1085,f1086,f1087,f1102,f1104,f1105,f1103,f1107,f1108,f586,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f623,f1118,f1155,f903,f1156,f854,f385,f574,f1225,f1226,f1227,f1228,f1229,f1230,f989,f990,f991,f992,f1003,f1004,f1005,f1006,f1007,f1008,f575,f1238,f1239,f1240,f1241,f1242,f1243,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1246,f1016,f1247,f1060,f1061,f1062,f587,f1248,f1249,f1250,f1251,f1252,f1253,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1254,f1071,f1255,f1072,f1256,f1073,f1257,f588,f1258,f1259,f1260,f1261,f1262,f1263,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1264,f591,f1265,f1266,f1267,f1268,f1269,f1270,f1099,f1271,f1100,f1272,f1101,f1273,f942,f1280,f1281,f1283,f1284,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1023,f1308,f1309,f1311,f1312,f1313,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f594,f1333,f1334,f1335,f1336,f1337,f1338,f449,f1382,f1385,f1386,f1389,f1390,f1329,f1409,f1410,f1411,f1330,f1413,f1414,f1415,f457,f1429,f1430,f1434,f1435,f1436,f1437,f974,f978,f1458,f998,f1002,f1462,f1234,f1463,f1235,f1464,f1236,f1465,f1237,f1466,f1244,f1467,f1245,f1468,f472,f1506,f1470,f1472,f1473,f1514,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1508,f1527,f1528,f1529,f1530,f1533,f1534,f1536,f1570,f1475,f475,f1641,f1605,f1607,f1608,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1653,f1654,f1610,f1655,f904,f1656,f1573]) ).
fof(f1573,plain,
( tl(sK23) = sK29(sK23)
| nil = sK23 ),
inference(forward_demodulation,[],[f935,f394]) ).
fof(f935,plain,
( nil = sK23
| tl(sK25) = sK29(sK25) ),
inference(forward_demodulation,[],[f906,f394]) ).
fof(f906,plain,
( nil = sK25
| tl(sK25) = sK29(sK25) ),
inference(resolution,[],[f479,f393]) ).
fof(f1656,plain,
( tl(sK23) = sK29(sK23)
| spl73_6 ),
inference(global_subsumption,[],[f389,f397,f396,f419,f421,f422,f431,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f461,f460,f459,f490,f624,f501,f644,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f579,f580,f581,f582,f583,f584,f637,f589,f638,f592,f639,f595,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f386,f387,f450,f458,f468,f683,f708,f709,f684,f685,f469,f711,f736,f737,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f384,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f418,f420,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f423,f700,f701,f702,f812,f703,f813,f704,f814,f705,f815,f706,f816,f707,f817,f716,f717,f718,f424,f820,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f426,f730,f826,f731,f827,f732,f828,f733,f829,f734,f830,f735,f831,f427,f428,f430,f443,f444,f447,f451,f452,f455,f846,f847,f848,f477,f880,f850,f852,f853,f886,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f855,f894,f479,f929,f899,f901,f902,f937,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f481,f931,f571,f940,f941,f943,f944,f971,f972,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f945,f973,f976,f977,f993,f994,f946,f997,f1000,f1001,f1017,f1018,f572,f1021,f1022,f1024,f1025,f1052,f1053,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1026,f1054,f1055,f1057,f1058,f1059,f1074,f1076,f1077,f1075,f1079,f1080,f1027,f1082,f1083,f1085,f1086,f1087,f1102,f1104,f1105,f1103,f1107,f1108,f586,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f623,f1118,f1155,f903,f1156,f854,f385,f574,f1225,f1226,f1227,f1228,f1229,f1230,f989,f990,f991,f992,f1003,f1004,f1005,f1006,f1007,f1008,f575,f1238,f1239,f1240,f1241,f1242,f1243,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1246,f1016,f1247,f1060,f1061,f1062,f587,f1248,f1249,f1250,f1251,f1252,f1253,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1254,f1071,f1255,f1072,f1256,f1073,f1257,f588,f1258,f1259,f1260,f1261,f1262,f1263,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1264,f591,f1265,f1266,f1267,f1268,f1269,f1270,f1099,f1271,f1100,f1272,f1101,f1273,f942,f1280,f1281,f1283,f1284,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1023,f1308,f1309,f1311,f1312,f1313,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f594,f1333,f1334,f1335,f1336,f1337,f1338,f449,f1382,f1385,f1386,f1389,f1390,f1329,f1409,f1410,f1411,f1330,f1413,f1414,f1415,f457,f1429,f1430,f1434,f1435,f1436,f1437,f974,f978,f1458,f998,f1002,f1462,f1234,f1463,f1235,f1464,f1236,f1465,f1237,f1466,f1244,f1467,f1245,f1468,f472,f1506,f1470,f1472,f1473,f1514,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1508,f1527,f1528,f1529,f1530,f1533,f1534,f1536,f1570,f1475,f1573,f475,f1641,f1605,f1607,f1608,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1653,f1654,f1610,f1655,f904]) ).
fof(f904,plain,
( nil = sK23
| tl(sK23) = sK29(sK23) ),
inference(resolution,[],[f479,f391]) ).
fof(f1655,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| spl73_6 ),
inference(global_subsumption,[],[f389,f397,f396,f419,f421,f422,f431,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f461,f460,f459,f490,f624,f501,f644,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f579,f580,f581,f582,f583,f584,f637,f589,f638,f592,f639,f595,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f386,f387,f450,f458,f468,f683,f708,f709,f684,f685,f469,f711,f736,f737,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f384,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f418,f420,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f423,f700,f701,f702,f812,f703,f813,f704,f814,f705,f815,f706,f816,f707,f817,f716,f717,f718,f424,f820,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f426,f730,f826,f731,f827,f732,f828,f733,f829,f734,f830,f735,f831,f427,f428,f430,f443,f444,f447,f451,f452,f455,f846,f847,f848,f477,f880,f850,f852,f853,f886,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f855,f894,f479,f929,f899,f901,f902,f937,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f481,f931,f571,f940,f941,f943,f944,f971,f972,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f945,f973,f976,f977,f993,f994,f946,f997,f1000,f1001,f1017,f1018,f572,f1021,f1022,f1024,f1025,f1052,f1053,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1026,f1054,f1055,f1057,f1058,f1059,f1074,f1076,f1077,f1075,f1079,f1080,f1027,f1082,f1083,f1085,f1086,f1087,f1102,f1104,f1105,f1103,f1107,f1108,f586,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f623,f1118,f1155,f903,f1156,f854,f385,f574,f1225,f1226,f1227,f1228,f1229,f1230,f989,f990,f991,f992,f1003,f1004,f1005,f1006,f1007,f1008,f575,f1238,f1239,f1240,f1241,f1242,f1243,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1246,f1016,f1247,f1060,f1061,f1062,f587,f1248,f1249,f1250,f1251,f1252,f1253,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1254,f1071,f1255,f1072,f1256,f1073,f1257,f588,f1258,f1259,f1260,f1261,f1262,f1263,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1264,f591,f1265,f1266,f1267,f1268,f1269,f1270,f1099,f1271,f1100,f1272,f1101,f1273,f942,f1280,f1281,f1283,f1284,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1023,f1308,f1309,f1311,f1312,f1313,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f594,f1333,f1334,f1335,f1336,f1337,f1338,f449,f1382,f1385,f1386,f1389,f1390,f1329,f1409,f1410,f1411,f1330,f1413,f1414,f1415,f457,f1429,f1430,f1434,f1435,f1436,f1437,f974,f978,f1458,f998,f1002,f1462,f1234,f1463,f1235,f1464,f1236,f1465,f1237,f1466,f1244,f1467,f1245,f1468,f472,f1506,f1470,f1472,f1473,f1514,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1508,f1527,f1528,f1529,f1530,f1533,f1534,f1536,f1570,f1475,f1573,f904,f475,f1641,f1605,f1607,f1608,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1653,f1654,f1610]) ).
fof(f1610,plain,
( nil = sK23
| sK23 = cons(hd(sK23),tl(sK23)) ),
inference(resolution,[],[f475,f391]) ).
fof(f1654,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| spl73_6 ),
inference(global_subsumption,[],[f389,f397,f396,f419,f421,f422,f431,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f461,f460,f459,f490,f624,f501,f644,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f579,f580,f581,f582,f583,f584,f637,f589,f638,f592,f639,f595,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f386,f387,f450,f458,f468,f683,f708,f709,f684,f685,f469,f711,f736,f737,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f384,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f418,f420,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f423,f700,f701,f702,f812,f703,f813,f704,f814,f705,f815,f706,f816,f707,f817,f716,f717,f718,f424,f820,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f426,f730,f826,f731,f827,f732,f828,f733,f829,f734,f830,f735,f831,f427,f428,f430,f443,f444,f447,f451,f452,f455,f846,f847,f848,f477,f880,f850,f852,f853,f886,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f855,f894,f479,f929,f899,f901,f902,f937,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f481,f931,f571,f940,f941,f943,f944,f971,f972,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f945,f973,f976,f977,f993,f994,f946,f997,f1000,f1001,f1017,f1018,f572,f1021,f1022,f1024,f1025,f1052,f1053,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1026,f1054,f1055,f1057,f1058,f1059,f1074,f1076,f1077,f1075,f1079,f1080,f1027,f1082,f1083,f1085,f1086,f1087,f1102,f1104,f1105,f1103,f1107,f1108,f586,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f623,f1118,f1155,f903,f1156,f854,f385,f574,f1225,f1226,f1227,f1228,f1229,f1230,f989,f990,f991,f992,f1003,f1004,f1005,f1006,f1007,f1008,f575,f1238,f1239,f1240,f1241,f1242,f1243,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1246,f1016,f1247,f1060,f1061,f1062,f587,f1248,f1249,f1250,f1251,f1252,f1253,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1254,f1071,f1255,f1072,f1256,f1073,f1257,f588,f1258,f1259,f1260,f1261,f1262,f1263,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1264,f591,f1265,f1266,f1267,f1268,f1269,f1270,f1099,f1271,f1100,f1272,f1101,f1273,f942,f1280,f1281,f1283,f1284,f1285,f1287,f1288,f1289,f1290,f1291,f1292,f1293,f1294,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1023,f1308,f1309,f1311,f1312,f1313,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f1323,f1324,f1325,f1326,f1327,f1328,f594,f1333,f1334,f1335,f1336,f1337,f1338,f449,f1382,f1385,f1386,f1389,f1390,f1329,f1409,f1410,f1411,f1330,f1413,f1414,f1415,f457,f1429,f1430,f1434,f1435,f1436,f1437,f974,f978,f1458,f998,f1002,f1462,f1234,f1463,f1235,f1464,f1236,f1465,f1237,f1466,f1244,f1467,f1245,f1468,f472,f1506,f1470,f1472,f1473,f1514,f1478,f1479,f1480,f1481,f1482,f1483,f1484,f1485,f1486,f1487,f1488,f1489,f1490,f1491,f1492,f1493,f1494,f1495,f1496,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1508,f1527,f1528,f1529,f1530,f1533,f1534,f1536,f1570,f1475,f1573,f904,f475,f1641,f1605,f1607,f1608,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1628,f1629,f1630,f1631,f1632,f1633,f1634,f1635,f1636,f1637,f1638,f1639,f1640,f1653]) ).
fof(f1653,plain,
( sK23 = cons(hd(sK23),tl(sK23))
| nil = sK23 ),
inference(forward_demodulation,[],[f1648,f394]) ).
fof(f1648,plain,
( nil = sK23
| sK25 = cons(hd(sK25),tl(sK25)) ),
inference(forward_demodulation,[],[f1612,f394]) ).
fof(f1612,plain,
( nil = sK25
| sK25 = cons(hd(sK25),tl(sK25)) ),
inference(resolution,[],[f475,f393]) ).
fof(f1640,plain,
! [X0,X1] :
( nil = sK70(X0,X1)
| sK70(X0,X1) = cons(hd(sK70(X0,X1)),tl(sK70(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f475,f594]) ).
fof(f1639,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,f591]) ).
fof(f1638,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,f588]) ).
fof(f1637,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,f587]) ).
fof(f1636,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f475,f575]) ).
fof(f1635,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,f574]) ).
fof(f1634,plain,
! [X0] :
( nil = sK64(X0)
| sK64(X0) = cons(hd(sK64(X0)),tl(sK64(X0)))
| sP18(X0) ),
inference(resolution,[],[f475,f558]) ).
fof(f1633,plain,
! [X0] :
( nil = sK63(X0)
| sK63(X0) = cons(hd(sK63(X0)),tl(sK63(X0)))
| sP18(X0) ),
inference(resolution,[],[f475,f557]) ).
fof(f1632,plain,
! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(hd(sK62(X0)),tl(sK62(X0)))
| sP18(X0) ),
inference(resolution,[],[f475,f556]) ).
fof(f1631,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
| sP16(X0) ),
inference(resolution,[],[f475,f547]) ).
fof(f1630,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
| sP16(X0) ),
inference(resolution,[],[f475,f546]) ).
fof(f1629,plain,
! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(hd(sK57(X0)),tl(sK57(X0)))
| sP16(X0) ),
inference(resolution,[],[f475,f545]) ).
fof(f1628,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
| sP14(X0) ),
inference(resolution,[],[f475,f535]) ).
fof(f1627,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
| sP14(X0) ),
inference(resolution,[],[f475,f534]) ).
fof(f1626,plain,
! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(hd(sK52(X0)),tl(sK52(X0)))
| sP14(X0) ),
inference(resolution,[],[f475,f533]) ).
fof(f1625,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
| sP12(X0) ),
inference(resolution,[],[f475,f523]) ).
fof(f1624,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
| sP12(X0) ),
inference(resolution,[],[f475,f522]) ).
fof(f1623,plain,
! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(hd(sK47(X0)),tl(sK47(X0)))
| sP12(X0) ),
inference(resolution,[],[f475,f521]) ).
fof(f1622,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
| sP10(X0) ),
inference(resolution,[],[f475,f511]) ).
fof(f1621,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
| sP10(X0) ),
inference(resolution,[],[f475,f510]) ).
fof(f1620,plain,
! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(hd(sK42(X0)),tl(sK42(X0)))
| sP10(X0) ),
inference(resolution,[],[f475,f509]) ).
fof(f1619,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
| sP8(X0) ),
inference(resolution,[],[f475,f500]) ).
fof(f1618,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
| sP8(X0) ),
inference(resolution,[],[f475,f499]) ).
fof(f1617,plain,
! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(hd(sK37(X0)),tl(sK37(X0)))
| sP8(X0) ),
inference(resolution,[],[f475,f498]) ).
fof(f1616,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
| sP6(X0) ),
inference(resolution,[],[f475,f489]) ).
fof(f1615,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
| sP6(X0) ),
inference(resolution,[],[f475,f488]) ).
fof(f1614,plain,
! [X0] :
( nil = sK29(X0)
| sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f475,f478]) ).
fof(f1613,plain,
! [X0] :
( nil = sK26(X0)
| sK26(X0) = cons(hd(sK26(X0)),tl(sK26(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f475,f470]) ).
fof(f1608,plain,
! [X0,X1] :
( nil = sK21(X0,X1)
| sK21(X0,X1) = cons(hd(sK21(X0,X1)),tl(sK21(X0,X1)))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f475,f387]) ).
fof(f1607,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f475,f474]) ).
fof(f1605,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(f1641,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1604,f569]) ).
fof(f1604,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(f1570,plain,
( sK23 = cons(sK27(sK23),sK26(sK23))
| nil = sK23 ),
inference(forward_demodulation,[],[f1512,f394]) ).
fof(f1512,plain,
( nil = sK23
| sK25 = cons(sK27(sK25),sK26(sK25)) ),
inference(forward_demodulation,[],[f1477,f394]) ).
fof(f1477,plain,
( nil = sK25
| sK25 = cons(sK27(sK25),sK26(sK25)) ),
inference(resolution,[],[f472,f393]) ).
fof(f1536,plain,
( sK23 != sK26(sK23)
| ~ ssItem(sK27(sK23))
| spl73_6 ),
inference(subsumption_resolution,[],[f1535,f391]) ).
fof(f1535,plain,
( sK23 != sK26(sK23)
| ~ ssItem(sK27(sK23))
| ~ ssList(sK23)
| spl73_6 ),
inference(inner_rewriting,[],[f1533]) ).
fof(f1534,plain,
( memberP(sK23,sK27(sK23))
| ~ ssList(sK26(sK23))
| ~ ssItem(sK27(sK23))
| spl73_6 ),
inference(superposition,[],[f646,f1508]) ).
fof(f1533,plain,
( sK23 != sK26(sK23)
| ~ ssItem(sK27(sK23))
| ~ ssList(sK26(sK23))
| spl73_6 ),
inference(superposition,[],[f570,f1508]) ).
fof(f1530,plain,
( strictorderedP(sK23)
| ~ sP4(sK26(sK23),sK27(sK23))
| ~ sP5(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(superposition,[],[f452,f1508]) ).
fof(f1529,plain,
( ~ strictorderedP(sK23)
| sP4(sK26(sK23),sK27(sK23))
| ~ sP5(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(superposition,[],[f451,f1508]) ).
fof(f1528,plain,
( totalorderedP(sK23)
| ~ sP2(sK26(sK23),sK27(sK23))
| ~ sP3(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(superposition,[],[f444,f1508]) ).
fof(f1527,plain,
( ~ totalorderedP(sK23)
| sP2(sK26(sK23),sK27(sK23))
| ~ sP3(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(superposition,[],[f443,f1508]) ).
fof(f1508,plain,
( sK23 = cons(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(subsumption_resolution,[],[f1475,f894]) ).
fof(f1505,plain,
! [X0,X1] :
( nil = sK70(X0,X1)
| sK70(X0,X1) = cons(sK27(sK70(X0,X1)),sK26(sK70(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f594]) ).
fof(f1504,plain,
! [X0,X1] :
( nil = sK69(X0,X1)
| sK69(X0,X1) = cons(sK27(sK69(X0,X1)),sK26(sK69(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f591]) ).
fof(f1503,plain,
! [X0,X1] :
( nil = sK68(X0,X1)
| sK68(X0,X1) = cons(sK27(sK68(X0,X1)),sK26(sK68(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f588]) ).
fof(f1502,plain,
! [X0,X1] :
( nil = sK67(X0,X1)
| sK67(X0,X1) = cons(sK27(sK67(X0,X1)),sK26(sK67(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f587]) ).
fof(f1501,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK27(sK66(X0,X1)),sK26(sK66(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f575]) ).
fof(f1500,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK27(sK65(X0,X1)),sK26(sK65(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f574]) ).
fof(f1499,plain,
! [X0] :
( nil = sK64(X0)
| sK64(X0) = cons(sK27(sK64(X0)),sK26(sK64(X0)))
| sP18(X0) ),
inference(resolution,[],[f472,f558]) ).
fof(f1498,plain,
! [X0] :
( nil = sK63(X0)
| sK63(X0) = cons(sK27(sK63(X0)),sK26(sK63(X0)))
| sP18(X0) ),
inference(resolution,[],[f472,f557]) ).
fof(f1497,plain,
! [X0] :
( nil = sK62(X0)
| sK62(X0) = cons(sK27(sK62(X0)),sK26(sK62(X0)))
| sP18(X0) ),
inference(resolution,[],[f472,f556]) ).
fof(f1496,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(sK27(sK59(X0)),sK26(sK59(X0)))
| sP16(X0) ),
inference(resolution,[],[f472,f547]) ).
fof(f1495,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(sK27(sK58(X0)),sK26(sK58(X0)))
| sP16(X0) ),
inference(resolution,[],[f472,f546]) ).
fof(f1494,plain,
! [X0] :
( nil = sK57(X0)
| sK57(X0) = cons(sK27(sK57(X0)),sK26(sK57(X0)))
| sP16(X0) ),
inference(resolution,[],[f472,f545]) ).
fof(f1493,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(sK27(sK54(X0)),sK26(sK54(X0)))
| sP14(X0) ),
inference(resolution,[],[f472,f535]) ).
fof(f1492,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(sK27(sK53(X0)),sK26(sK53(X0)))
| sP14(X0) ),
inference(resolution,[],[f472,f534]) ).
fof(f1491,plain,
! [X0] :
( nil = sK52(X0)
| sK52(X0) = cons(sK27(sK52(X0)),sK26(sK52(X0)))
| sP14(X0) ),
inference(resolution,[],[f472,f533]) ).
fof(f1490,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(sK27(sK49(X0)),sK26(sK49(X0)))
| sP12(X0) ),
inference(resolution,[],[f472,f523]) ).
fof(f1489,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(sK27(sK48(X0)),sK26(sK48(X0)))
| sP12(X0) ),
inference(resolution,[],[f472,f522]) ).
fof(f1488,plain,
! [X0] :
( nil = sK47(X0)
| sK47(X0) = cons(sK27(sK47(X0)),sK26(sK47(X0)))
| sP12(X0) ),
inference(resolution,[],[f472,f521]) ).
fof(f1487,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(sK27(sK44(X0)),sK26(sK44(X0)))
| sP10(X0) ),
inference(resolution,[],[f472,f511]) ).
fof(f1486,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(sK27(sK43(X0)),sK26(sK43(X0)))
| sP10(X0) ),
inference(resolution,[],[f472,f510]) ).
fof(f1485,plain,
! [X0] :
( nil = sK42(X0)
| sK42(X0) = cons(sK27(sK42(X0)),sK26(sK42(X0)))
| sP10(X0) ),
inference(resolution,[],[f472,f509]) ).
fof(f1484,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(sK27(sK39(X0)),sK26(sK39(X0)))
| sP8(X0) ),
inference(resolution,[],[f472,f500]) ).
fof(f1483,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(sK27(sK38(X0)),sK26(sK38(X0)))
| sP8(X0) ),
inference(resolution,[],[f472,f499]) ).
fof(f1482,plain,
! [X0] :
( nil = sK37(X0)
| sK37(X0) = cons(sK27(sK37(X0)),sK26(sK37(X0)))
| sP8(X0) ),
inference(resolution,[],[f472,f498]) ).
fof(f1481,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(sK27(sK34(X0)),sK26(sK34(X0)))
| sP6(X0) ),
inference(resolution,[],[f472,f489]) ).
fof(f1480,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(sK27(sK33(X0)),sK26(sK33(X0)))
| sP6(X0) ),
inference(resolution,[],[f472,f488]) ).
fof(f1479,plain,
! [X0] :
( nil = sK29(X0)
| sK29(X0) = cons(sK27(sK29(X0)),sK26(sK29(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f472,f478]) ).
fof(f1478,plain,
! [X0] :
( nil = sK26(X0)
| sK26(X0) = cons(sK27(sK26(X0)),sK26(sK26(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f472,f470]) ).
fof(f1514,plain,
( sK23 = cons(sK27(sK23),sK26(sK23))
| spl73_6 ),
inference(forward_demodulation,[],[f1513,f394]) ).
fof(f1513,plain,
( sK25 = cons(sK27(sK25),sK26(sK25))
| spl73_6 ),
inference(subsumption_resolution,[],[f1512,f894]) ).
fof(f1473,plain,
! [X0,X1] :
( nil = sK21(X0,X1)
| sK21(X0,X1) = cons(sK27(sK21(X0,X1)),sK26(sK21(X0,X1)))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f472,f387]) ).
fof(f1472,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK27(tl(X0)),sK26(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f472,f474]) ).
fof(f1470,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK27(app(X0,X1)),sK26(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f472,f578]) ).
fof(f1506,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK27(cons(X0,X1)),sK26(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1469,f569]) ).
fof(f1469,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK27(cons(X0,X1)),sK26(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f472,f568]) ).
fof(f1468,plain,
! [X0,X1] :
( sK23 = tl(cons(sK56(cons(X0,X1)),sK23))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1245,f443]) ).
fof(f1245,plain,
! [X0] :
( totalorderedP(X0)
| sK23 = tl(cons(sK56(X0),sK23))
| ~ ssList(X0) ),
inference(resolution,[],[f1014,f661]) ).
fof(f1467,plain,
! [X0,X1] :
( sK23 = tl(cons(sK55(cons(X0,X1)),sK23))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1244,f443]) ).
fof(f1244,plain,
! [X0] :
( totalorderedP(X0)
| sK23 = tl(cons(sK55(X0),sK23))
| ~ ssList(X0) ),
inference(resolution,[],[f1013,f661]) ).
fof(f1466,plain,
! [X0,X1] :
( sK22 = tl(cons(sK61(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) ),
inference(resolution,[],[f1237,f451]) ).
fof(f1237,plain,
! [X0] :
( strictorderedP(X0)
| sK22 = tl(cons(sK61(X0),sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f992,f663]) ).
fof(f1465,plain,
! [X0,X1] :
( sK22 = tl(cons(sK60(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP4(X1,X0)
| ~ sP5(X0,X1) ),
inference(resolution,[],[f1236,f451]) ).
fof(f1236,plain,
! [X0] :
( strictorderedP(X0)
| sK22 = tl(cons(sK60(X0),sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f991,f663]) ).
fof(f1464,plain,
! [X0,X1] :
( sK22 = tl(cons(sK56(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1235,f443]) ).
fof(f1235,plain,
! [X0] :
( totalorderedP(X0)
| sK22 = tl(cons(sK56(X0),sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f990,f661]) ).
fof(f1463,plain,
! [X0,X1] :
( sK22 = tl(cons(sK55(cons(X0,X1)),sK22))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1234,f443]) ).
fof(f1234,plain,
! [X0] :
( totalorderedP(X0)
| sK22 = tl(cons(sK55(X0),sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f989,f661]) ).
fof(f1462,plain,
! [X0] :
( sK23 = tl(cons(sK30(cons(X0,nil)),sK23))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1460]) ).
fof(f1460,plain,
! [X0] :
( sK23 = tl(cons(sK30(cons(X0,nil)),sK23))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f1002,f623]) ).
fof(f1002,plain,
! [X0] :
( ~ singletonP(X0)
| sK23 = tl(cons(sK30(X0),sK23))
| ~ ssList(X0) ),
inference(resolution,[],[f946,f480]) ).
fof(f998,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK23 = tl(cons(sK20(X0,X1),sK23)) ),
inference(resolution,[],[f946,f386]) ).
fof(f1458,plain,
! [X0] :
( sK22 = tl(cons(sK30(cons(X0,nil)),sK22))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1456]) ).
fof(f1456,plain,
! [X0] :
( sK22 = tl(cons(sK30(cons(X0,nil)),sK22))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f978,f623]) ).
fof(f978,plain,
! [X0] :
( ~ singletonP(X0)
| sK22 = tl(cons(sK30(X0),sK22))
| ~ ssList(X0) ),
inference(resolution,[],[f945,f480]) ).
fof(f974,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| sK22 = tl(cons(sK20(X0,X1),sK22)) ),
inference(resolution,[],[f945,f386]) ).
fof(f1437,plain,
! [X0] :
( ~ lt(X0,sK72)
| sP4(cons(sK72,nil),X0)
| ~ strictorderedP(cons(sK72,nil))
| nil = cons(sK72,nil) ),
inference(superposition,[],[f457,f1330]) ).
fof(f1436,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP4(cons(sK71,nil),X0)
| ~ strictorderedP(cons(sK71,nil))
| nil = cons(sK71,nil) ),
inference(superposition,[],[f457,f1329]) ).
fof(f1435,plain,
! [X0] :
( ~ lt(X0,sK72)
| sP4(cons(sK72,sK23),X0)
| ~ strictorderedP(cons(sK72,sK23))
| nil = cons(sK72,sK23) ),
inference(superposition,[],[f457,f1103]) ).
fof(f1434,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP4(cons(sK71,sK23),X0)
| ~ strictorderedP(cons(sK71,sK23))
| nil = cons(sK71,sK23) ),
inference(superposition,[],[f457,f1102]) ).
fof(f1430,plain,
! [X0] :
( ~ lt(X0,sK72)
| sP4(cons(sK72,sK22),X0)
| ~ strictorderedP(cons(sK72,sK22))
| nil = cons(sK72,sK22) ),
inference(superposition,[],[f457,f1075]) ).
fof(f1429,plain,
! [X0] :
( ~ lt(X0,sK71)
| sP4(cons(sK71,sK22),X0)
| ~ strictorderedP(cons(sK71,sK22))
| nil = cons(sK71,sK22) ),
inference(superposition,[],[f457,f1074]) ).
fof(f1415,plain,
! [X0] :
( leq(X0,sK72)
| nil = cons(sK72,nil)
| ~ sP2(cons(sK72,nil),X0) ),
inference(superposition,[],[f447,f1330]) ).
fof(f1414,plain,
! [X0] :
( lt(X0,sK72)
| nil = cons(sK72,nil)
| ~ sP4(cons(sK72,nil),X0) ),
inference(superposition,[],[f455,f1330]) ).
fof(f1413,plain,
! [X0] :
( ~ leq(X0,sK72)
| sP2(cons(sK72,nil),X0)
| ~ totalorderedP(cons(sK72,nil))
| nil = cons(sK72,nil) ),
inference(superposition,[],[f449,f1330]) ).
fof(f1330,plain,
sK72 = hd(cons(sK72,nil)),
inference(resolution,[],[f1023,f613]) ).
fof(f1411,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,nil)
| ~ sP2(cons(sK71,nil),X0) ),
inference(superposition,[],[f447,f1329]) ).
fof(f1410,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,nil)
| ~ sP4(cons(sK71,nil),X0) ),
inference(superposition,[],[f455,f1329]) ).
fof(f1409,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP2(cons(sK71,nil),X0)
| ~ totalorderedP(cons(sK71,nil))
| nil = cons(sK71,nil) ),
inference(superposition,[],[f449,f1329]) ).
fof(f1329,plain,
sK71 = hd(cons(sK71,nil)),
inference(resolution,[],[f1023,f612]) ).
fof(f1390,plain,
! [X0] :
( ~ leq(X0,sK72)
| sP2(cons(sK72,sK23),X0)
| ~ totalorderedP(cons(sK72,sK23))
| nil = cons(sK72,sK23) ),
inference(superposition,[],[f449,f1103]) ).
fof(f1389,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP2(cons(sK71,sK23),X0)
| ~ totalorderedP(cons(sK71,sK23))
| nil = cons(sK71,sK23) ),
inference(superposition,[],[f449,f1102]) ).
fof(f1386,plain,
! [X0] :
( ~ leq(X0,sK72)
| sP2(cons(sK72,sK22),X0)
| ~ totalorderedP(cons(sK72,sK22))
| nil = cons(sK72,sK22) ),
inference(superposition,[],[f449,f1075]) ).
fof(f1385,plain,
! [X0] :
( ~ leq(X0,sK71)
| sP2(cons(sK71,sK22),X0)
| ~ totalorderedP(cons(sK71,sK22))
| nil = cons(sK71,sK22) ),
inference(superposition,[],[f449,f1074]) ).
fof(f1382,plain,
! [X0] :
( sP2(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f449,f410]) ).
fof(f1338,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK70(X0,X1) = app(sK70(X0,X1),nil) ),
inference(resolution,[],[f594,f468]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK70(X0,X1) = app(nil,sK70(X0,X1)) ),
inference(resolution,[],[f594,f469]) ).
fof(f1336,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK70(X0,X1)
| hd(sK70(X0,X1)) = sK28(sK70(X0,X1)) ),
inference(resolution,[],[f594,f477]) ).
fof(f1335,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK70(X0,X1)
| tl(sK70(X0,X1)) = sK29(sK70(X0,X1)) ),
inference(resolution,[],[f594,f479]) ).
fof(f1334,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK70(X0,X1) = tl(cons(X2,sK70(X0,X1))) ),
inference(resolution,[],[f594,f571]) ).
fof(f1333,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK70(X0,X1))) = X2 ),
inference(resolution,[],[f594,f572]) ).
fof(f1328,plain,
! [X0] :
( sK61(X0) = hd(cons(sK61(X0),nil))
| sP18(X0) ),
inference(resolution,[],[f1023,f555]) ).
fof(f1327,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),nil))
| sP18(X0) ),
inference(resolution,[],[f1023,f554]) ).
fof(f1326,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f1023,f544]) ).
fof(f1325,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f1023,f543]) ).
fof(f1324,plain,
! [X0] :
( sK51(X0) = hd(cons(sK51(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f1023,f532]) ).
fof(f1323,plain,
! [X0] :
( sK50(X0) = hd(cons(sK50(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f1023,f531]) ).
fof(f1322,plain,
! [X0] :
( sK46(X0) = hd(cons(sK46(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f1023,f520]) ).
fof(f1321,plain,
! [X0] :
( sK45(X0) = hd(cons(sK45(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f1023,f519]) ).
fof(f1320,plain,
! [X0] :
( sK41(X0) = hd(cons(sK41(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f1023,f508]) ).
fof(f1319,plain,
! [X0] :
( sK40(X0) = hd(cons(sK40(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f1023,f507]) ).
fof(f1318,plain,
! [X0] :
( sK36(X0) = hd(cons(sK36(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f1023,f497]) ).
fof(f1317,plain,
! [X0] :
( sK35(X0) = hd(cons(sK35(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f1023,f496]) ).
fof(f1316,plain,
! [X0] :
( sK32(X0) = hd(cons(sK32(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f1023,f487]) ).
fof(f1315,plain,
! [X0] :
( sK31(X0) = hd(cons(sK31(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f1023,f486]) ).
fof(f1313,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1023,f480]) ).
fof(f1312,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1023,f476]) ).
fof(f1311,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1023,f471]) ).
fof(f1309,plain,
! [X0,X1] :
( sK20(X0,X1) = hd(cons(sK20(X0,X1),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1023,f386]) ).
fof(f1308,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1023,f473]) ).
fof(f1302,plain,
nil = tl(cons(sK72,nil)),
inference(resolution,[],[f942,f613]) ).
fof(f1301,plain,
nil = tl(cons(sK71,nil)),
inference(resolution,[],[f942,f612]) ).
fof(f1300,plain,
! [X0] :
( nil = tl(cons(sK61(X0),nil))
| sP18(X0) ),
inference(resolution,[],[f942,f555]) ).
fof(f1299,plain,
! [X0] :
( nil = tl(cons(sK60(X0),nil))
| sP18(X0) ),
inference(resolution,[],[f942,f554]) ).
fof(f1298,plain,
! [X0] :
( nil = tl(cons(sK56(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f942,f544]) ).
fof(f1297,plain,
! [X0] :
( nil = tl(cons(sK55(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f942,f543]) ).
fof(f1296,plain,
! [X0] :
( nil = tl(cons(sK51(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f942,f532]) ).
fof(f1295,plain,
! [X0] :
( nil = tl(cons(sK50(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f942,f531]) ).
fof(f1294,plain,
! [X0] :
( nil = tl(cons(sK46(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f942,f520]) ).
fof(f1293,plain,
! [X0] :
( nil = tl(cons(sK45(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f942,f519]) ).
fof(f1292,plain,
! [X0] :
( nil = tl(cons(sK41(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f942,f508]) ).
fof(f1291,plain,
! [X0] :
( nil = tl(cons(sK40(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f942,f507]) ).
fof(f1290,plain,
! [X0] :
( nil = tl(cons(sK36(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f942,f497]) ).
fof(f1289,plain,
! [X0] :
( nil = tl(cons(sK35(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f942,f496]) ).
fof(f1288,plain,
! [X0] :
( nil = tl(cons(sK32(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f942,f487]) ).
fof(f1287,plain,
! [X0] :
( nil = tl(cons(sK31(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f942,f486]) ).
fof(f1285,plain,
! [X0] :
( nil = tl(cons(sK30(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f942,f480]) ).
fof(f1284,plain,
! [X0] :
( nil = tl(cons(sK28(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f942,f476]) ).
fof(f1283,plain,
! [X0] :
( nil = tl(cons(sK27(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f942,f471]) ).
fof(f1281,plain,
! [X0,X1] :
( nil = tl(cons(sK20(X0,X1),nil))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f942,f386]) ).
fof(f1280,plain,
! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f942,f473]) ).
fof(f942,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f571,f406]) ).
fof(f1273,plain,
! [X0] :
( sK61(X0) = hd(cons(sK61(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1101,f663]) ).
fof(f1101,plain,
! [X0] :
( sP18(X0)
| sK61(X0) = hd(cons(sK61(X0),sK23)) ),
inference(resolution,[],[f1027,f555]) ).
fof(f1272,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1100,f663]) ).
fof(f1100,plain,
! [X0] :
( sP18(X0)
| sK60(X0) = hd(cons(sK60(X0),sK23)) ),
inference(resolution,[],[f1027,f554]) ).
fof(f1271,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),sK23))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1099,f661]) ).
fof(f1099,plain,
! [X0] :
( sP16(X0)
| sK56(X0) = hd(cons(sK56(X0),sK23)) ),
inference(resolution,[],[f1027,f544]) ).
fof(f1270,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK69(X0,X1) = app(sK69(X0,X1),nil) ),
inference(resolution,[],[f591,f468]) ).
fof(f1269,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK69(X0,X1) = app(nil,sK69(X0,X1)) ),
inference(resolution,[],[f591,f469]) ).
fof(f1268,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK69(X0,X1)
| hd(sK69(X0,X1)) = sK28(sK69(X0,X1)) ),
inference(resolution,[],[f591,f477]) ).
fof(f1267,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK69(X0,X1)
| tl(sK69(X0,X1)) = sK29(sK69(X0,X1)) ),
inference(resolution,[],[f591,f479]) ).
fof(f1266,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK69(X0,X1) = tl(cons(X2,sK69(X0,X1))) ),
inference(resolution,[],[f591,f571]) ).
fof(f1265,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK69(X0,X1))) = X2 ),
inference(resolution,[],[f591,f572]) ).
fof(f1264,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK23))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1098,f661]) ).
fof(f1098,plain,
! [X0] :
( sP16(X0)
| sK55(X0) = hd(cons(sK55(X0),sK23)) ),
inference(resolution,[],[f1027,f543]) ).
fof(f1097,plain,
! [X0] :
( sP14(X0)
| sK51(X0) = hd(cons(sK51(X0),sK23)) ),
inference(resolution,[],[f1027,f532]) ).
fof(f1096,plain,
! [X0] :
( sP14(X0)
| sK50(X0) = hd(cons(sK50(X0),sK23)) ),
inference(resolution,[],[f1027,f531]) ).
fof(f1095,plain,
! [X0] :
( sP12(X0)
| sK46(X0) = hd(cons(sK46(X0),sK23)) ),
inference(resolution,[],[f1027,f520]) ).
fof(f1094,plain,
! [X0] :
( sP12(X0)
| sK45(X0) = hd(cons(sK45(X0),sK23)) ),
inference(resolution,[],[f1027,f519]) ).
fof(f1093,plain,
! [X0] :
( sP10(X0)
| sK41(X0) = hd(cons(sK41(X0),sK23)) ),
inference(resolution,[],[f1027,f508]) ).
fof(f1092,plain,
! [X0] :
( sP10(X0)
| sK40(X0) = hd(cons(sK40(X0),sK23)) ),
inference(resolution,[],[f1027,f507]) ).
fof(f1091,plain,
! [X0] :
( sP8(X0)
| sK36(X0) = hd(cons(sK36(X0),sK23)) ),
inference(resolution,[],[f1027,f497]) ).
fof(f1090,plain,
! [X0] :
( sP8(X0)
| sK35(X0) = hd(cons(sK35(X0),sK23)) ),
inference(resolution,[],[f1027,f496]) ).
fof(f1089,plain,
! [X0] :
( sP6(X0)
| sK32(X0) = hd(cons(sK32(X0),sK23)) ),
inference(resolution,[],[f1027,f487]) ).
fof(f1088,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = hd(cons(sK31(X0),sK23)) ),
inference(resolution,[],[f1027,f486]) ).
fof(f1263,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(sK68(X0,X1),nil) ),
inference(resolution,[],[f588,f468]) ).
fof(f1262,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK68(X0,X1) = app(nil,sK68(X0,X1)) ),
inference(resolution,[],[f588,f469]) ).
fof(f1261,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| hd(sK68(X0,X1)) = sK28(sK68(X0,X1)) ),
inference(resolution,[],[f588,f477]) ).
fof(f1260,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK68(X0,X1)
| tl(sK68(X0,X1)) = sK29(sK68(X0,X1)) ),
inference(resolution,[],[f588,f479]) ).
fof(f1259,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK68(X0,X1) = tl(cons(X2,sK68(X0,X1))) ),
inference(resolution,[],[f588,f571]) ).
fof(f1258,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK68(X0,X1))) = X2 ),
inference(resolution,[],[f588,f572]) ).
fof(f1257,plain,
! [X0] :
( sK61(X0) = hd(cons(sK61(X0),sK22))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1073,f663]) ).
fof(f1073,plain,
! [X0] :
( sP18(X0)
| sK61(X0) = hd(cons(sK61(X0),sK22)) ),
inference(resolution,[],[f1026,f555]) ).
fof(f1256,plain,
! [X0] :
( sK60(X0) = hd(cons(sK60(X0),sK22))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1072,f663]) ).
fof(f1072,plain,
! [X0] :
( sP18(X0)
| sK60(X0) = hd(cons(sK60(X0),sK22)) ),
inference(resolution,[],[f1026,f554]) ).
fof(f1255,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),sK22))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1071,f661]) ).
fof(f1071,plain,
! [X0] :
( sP16(X0)
| sK56(X0) = hd(cons(sK56(X0),sK22)) ),
inference(resolution,[],[f1026,f544]) ).
fof(f1254,plain,
! [X0] :
( sK55(X0) = hd(cons(sK55(X0),sK22))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1070,f661]) ).
fof(f1070,plain,
! [X0] :
( sP16(X0)
| sK55(X0) = hd(cons(sK55(X0),sK22)) ),
inference(resolution,[],[f1026,f543]) ).
fof(f1069,plain,
! [X0] :
( sP14(X0)
| sK51(X0) = hd(cons(sK51(X0),sK22)) ),
inference(resolution,[],[f1026,f532]) ).
fof(f1068,plain,
! [X0] :
( sP14(X0)
| sK50(X0) = hd(cons(sK50(X0),sK22)) ),
inference(resolution,[],[f1026,f531]) ).
fof(f1067,plain,
! [X0] :
( sP12(X0)
| sK46(X0) = hd(cons(sK46(X0),sK22)) ),
inference(resolution,[],[f1026,f520]) ).
fof(f1066,plain,
! [X0] :
( sP12(X0)
| sK45(X0) = hd(cons(sK45(X0),sK22)) ),
inference(resolution,[],[f1026,f519]) ).
fof(f1065,plain,
! [X0] :
( sP10(X0)
| sK41(X0) = hd(cons(sK41(X0),sK22)) ),
inference(resolution,[],[f1026,f508]) ).
fof(f1064,plain,
! [X0] :
( sP10(X0)
| sK40(X0) = hd(cons(sK40(X0),sK22)) ),
inference(resolution,[],[f1026,f507]) ).
fof(f1063,plain,
! [X0] :
( sP8(X0)
| sK36(X0) = hd(cons(sK36(X0),sK22)) ),
inference(resolution,[],[f1026,f497]) ).
fof(f1253,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(sK67(X0,X1),nil) ),
inference(resolution,[],[f587,f468]) ).
fof(f1252,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK67(X0,X1) = app(nil,sK67(X0,X1)) ),
inference(resolution,[],[f587,f469]) ).
fof(f1251,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| hd(sK67(X0,X1)) = sK28(sK67(X0,X1)) ),
inference(resolution,[],[f587,f477]) ).
fof(f1250,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK67(X0,X1)
| tl(sK67(X0,X1)) = sK29(sK67(X0,X1)) ),
inference(resolution,[],[f587,f479]) ).
fof(f1249,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK67(X0,X1) = tl(cons(X2,sK67(X0,X1))) ),
inference(resolution,[],[f587,f571]) ).
fof(f1248,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK67(X0,X1))) = X2 ),
inference(resolution,[],[f587,f572]) ).
fof(f1062,plain,
! [X0] :
( sP8(X0)
| sK35(X0) = hd(cons(sK35(X0),sK22)) ),
inference(resolution,[],[f1026,f496]) ).
fof(f1061,plain,
! [X0] :
( sP6(X0)
| sK32(X0) = hd(cons(sK32(X0),sK22)) ),
inference(resolution,[],[f1026,f487]) ).
fof(f1060,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = hd(cons(sK31(X0),sK22)) ),
inference(resolution,[],[f1026,f486]) ).
fof(f1247,plain,
! [X0] :
( sK23 = tl(cons(sK61(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1016,f663]) ).
fof(f1016,plain,
! [X0] :
( sP18(X0)
| sK23 = tl(cons(sK61(X0),sK23)) ),
inference(resolution,[],[f946,f555]) ).
fof(f1246,plain,
! [X0] :
( sK23 = tl(cons(sK60(X0),sK23))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1015,f663]) ).
fof(f1015,plain,
! [X0] :
( sP18(X0)
| sK23 = tl(cons(sK60(X0),sK23)) ),
inference(resolution,[],[f946,f554]) ).
fof(f1014,plain,
! [X0] :
( sP16(X0)
| sK23 = tl(cons(sK56(X0),sK23)) ),
inference(resolution,[],[f946,f544]) ).
fof(f1013,plain,
! [X0] :
( sP16(X0)
| sK23 = tl(cons(sK55(X0),sK23)) ),
inference(resolution,[],[f946,f543]) ).
fof(f1012,plain,
! [X0] :
( sP14(X0)
| sK23 = tl(cons(sK51(X0),sK23)) ),
inference(resolution,[],[f946,f532]) ).
fof(f1011,plain,
! [X0] :
( sP14(X0)
| sK23 = tl(cons(sK50(X0),sK23)) ),
inference(resolution,[],[f946,f531]) ).
fof(f1010,plain,
! [X0] :
( sP12(X0)
| sK23 = tl(cons(sK46(X0),sK23)) ),
inference(resolution,[],[f946,f520]) ).
fof(f1009,plain,
! [X0] :
( sP12(X0)
| sK23 = tl(cons(sK45(X0),sK23)) ),
inference(resolution,[],[f946,f519]) ).
fof(f1243,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ),
inference(resolution,[],[f575,f468]) ).
fof(f1242,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
inference(resolution,[],[f575,f469]) ).
fof(f1241,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK28(sK66(X0,X1)) ),
inference(resolution,[],[f575,f477]) ).
fof(f1240,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK29(sK66(X0,X1)) ),
inference(resolution,[],[f575,f479]) ).
fof(f1239,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
inference(resolution,[],[f575,f571]) ).
fof(f1238,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f575,f572]) ).
fof(f1008,plain,
! [X0] :
( sP10(X0)
| sK23 = tl(cons(sK41(X0),sK23)) ),
inference(resolution,[],[f946,f508]) ).
fof(f1007,plain,
! [X0] :
( sP10(X0)
| sK23 = tl(cons(sK40(X0),sK23)) ),
inference(resolution,[],[f946,f507]) ).
fof(f1006,plain,
! [X0] :
( sP8(X0)
| sK23 = tl(cons(sK36(X0),sK23)) ),
inference(resolution,[],[f946,f497]) ).
fof(f1005,plain,
! [X0] :
( sP8(X0)
| sK23 = tl(cons(sK35(X0),sK23)) ),
inference(resolution,[],[f946,f496]) ).
fof(f1004,plain,
! [X0] :
( sP6(X0)
| sK23 = tl(cons(sK32(X0),sK23)) ),
inference(resolution,[],[f946,f487]) ).
fof(f1003,plain,
! [X0] :
( sP6(X0)
| sK23 = tl(cons(sK31(X0),sK23)) ),
inference(resolution,[],[f946,f486]) ).
fof(f992,plain,
! [X0] :
( sP18(X0)
| sK22 = tl(cons(sK61(X0),sK22)) ),
inference(resolution,[],[f945,f555]) ).
fof(f991,plain,
! [X0] :
( sP18(X0)
| sK22 = tl(cons(sK60(X0),sK22)) ),
inference(resolution,[],[f945,f554]) ).
fof(f990,plain,
! [X0] :
( sP16(X0)
| sK22 = tl(cons(sK56(X0),sK22)) ),
inference(resolution,[],[f945,f544]) ).
fof(f989,plain,
! [X0] :
( sP16(X0)
| sK22 = tl(cons(sK55(X0),sK22)) ),
inference(resolution,[],[f945,f543]) ).
fof(f1230,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ),
inference(resolution,[],[f574,f468]) ).
fof(f1229,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
inference(resolution,[],[f574,f469]) ).
fof(f1228,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK28(sK65(X0,X1)) ),
inference(resolution,[],[f574,f477]) ).
fof(f1227,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK29(sK65(X0,X1)) ),
inference(resolution,[],[f574,f479]) ).
fof(f1226,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
inference(resolution,[],[f574,f571]) ).
fof(f1225,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f574,f572]) ).
fof(f854,plain,
( nil = sK22
| hd(sK22) = sK28(sK22) ),
inference(resolution,[],[f477,f390]) ).
fof(f1156,plain,
( hd(sK22) = sK28(sK22)
| nil = sK22 ),
inference(forward_demodulation,[],[f882,f395]) ).
fof(f882,plain,
( nil = sK22
| hd(sK24) = sK28(sK24) ),
inference(forward_demodulation,[],[f856,f395]) ).
fof(f856,plain,
( nil = sK24
| hd(sK24) = sK28(sK24) ),
inference(resolution,[],[f477,f392]) ).
fof(f903,plain,
( nil = sK22
| tl(sK22) = sK29(sK22) ),
inference(resolution,[],[f479,f390]) ).
fof(f1155,plain,
( tl(sK22) = sK29(sK22)
| nil = sK22 ),
inference(forward_demodulation,[],[f932,f395]) ).
fof(f932,plain,
( nil = sK22
| tl(sK24) = sK29(sK24) ),
inference(forward_demodulation,[],[f905,f395]) ).
fof(f905,plain,
( nil = sK24
| tl(sK24) = sK29(sK24) ),
inference(resolution,[],[f479,f392]) ).
fof(f1118,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK30(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1116]) ).
fof(f1116,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK30(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f623,f481]) ).
fof(f988,plain,
! [X0] :
( sP14(X0)
| sK22 = tl(cons(sK51(X0),sK22)) ),
inference(resolution,[],[f945,f532]) ).
fof(f987,plain,
! [X0] :
( sP14(X0)
| sK22 = tl(cons(sK50(X0),sK22)) ),
inference(resolution,[],[f945,f531]) ).
fof(f986,plain,
! [X0] :
( sP12(X0)
| sK22 = tl(cons(sK46(X0),sK22)) ),
inference(resolution,[],[f945,f520]) ).
fof(f985,plain,
! [X0] :
( sP12(X0)
| sK22 = tl(cons(sK45(X0),sK22)) ),
inference(resolution,[],[f945,f519]) ).
fof(f984,plain,
! [X0] :
( sP10(X0)
| sK22 = tl(cons(sK41(X0),sK22)) ),
inference(resolution,[],[f945,f508]) ).
fof(f983,plain,
! [X0] :
( sP10(X0)
| sK22 = tl(cons(sK40(X0),sK22)) ),
inference(resolution,[],[f945,f507]) ).
fof(f982,plain,
! [X0] :
( sP8(X0)
| sK22 = tl(cons(sK36(X0),sK22)) ),
inference(resolution,[],[f945,f497]) ).
fof(f981,plain,
! [X0] :
( sP8(X0)
| sK22 = tl(cons(sK35(X0),sK22)) ),
inference(resolution,[],[f945,f496]) ).
fof(f980,plain,
! [X0] :
( sP6(X0)
| sK22 = tl(cons(sK32(X0),sK22)) ),
inference(resolution,[],[f945,f487]) ).
fof(f979,plain,
! [X0] :
( sP6(X0)
| sK22 = tl(cons(sK31(X0),sK22)) ),
inference(resolution,[],[f945,f486]) ).
fof(f1108,plain,
! [X0] :
( leq(X0,sK72)
| nil = cons(sK72,sK23)
| ~ sP2(cons(sK72,sK23),X0) ),
inference(superposition,[],[f447,f1103]) ).
fof(f1107,plain,
! [X0] :
( lt(X0,sK72)
| nil = cons(sK72,sK23)
| ~ sP4(cons(sK72,sK23),X0) ),
inference(superposition,[],[f455,f1103]) ).
fof(f1103,plain,
sK72 = hd(cons(sK72,sK23)),
inference(resolution,[],[f1027,f613]) ).
fof(f1105,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK23)
| ~ sP2(cons(sK71,sK23),X0) ),
inference(superposition,[],[f447,f1102]) ).
fof(f1104,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK23)
| ~ sP4(cons(sK71,sK23),X0) ),
inference(superposition,[],[f455,f1102]) ).
fof(f1102,plain,
sK71 = hd(cons(sK71,sK23)),
inference(resolution,[],[f1027,f612]) ).
fof(f1087,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK23))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1027,f480]) ).
fof(f1086,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),sK23))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1027,f476]) ).
fof(f1085,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK23))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1027,f471]) ).
fof(f1083,plain,
! [X0,X1] :
( sK20(X0,X1) = hd(cons(sK20(X0,X1),sK23))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1027,f386]) ).
fof(f1082,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK23))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1027,f473]) ).
fof(f1027,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK23)) = X0 ),
inference(resolution,[],[f572,f391]) ).
fof(f1080,plain,
! [X0] :
( leq(X0,sK72)
| nil = cons(sK72,sK22)
| ~ sP2(cons(sK72,sK22),X0) ),
inference(superposition,[],[f447,f1075]) ).
fof(f1079,plain,
! [X0] :
( lt(X0,sK72)
| nil = cons(sK72,sK22)
| ~ sP4(cons(sK72,sK22),X0) ),
inference(superposition,[],[f455,f1075]) ).
fof(f1075,plain,
sK72 = hd(cons(sK72,sK22)),
inference(resolution,[],[f1026,f613]) ).
fof(f1077,plain,
! [X0] :
( leq(X0,sK71)
| nil = cons(sK71,sK22)
| ~ sP2(cons(sK71,sK22),X0) ),
inference(superposition,[],[f447,f1074]) ).
fof(f1076,plain,
! [X0] :
( lt(X0,sK71)
| nil = cons(sK71,sK22)
| ~ sP4(cons(sK71,sK22),X0) ),
inference(superposition,[],[f455,f1074]) ).
fof(f1074,plain,
sK71 = hd(cons(sK71,sK22)),
inference(resolution,[],[f1026,f612]) ).
fof(f1059,plain,
! [X0] :
( sK30(X0) = hd(cons(sK30(X0),sK22))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1026,f480]) ).
fof(f1058,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),sK22))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1026,f476]) ).
fof(f1057,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),sK22))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1026,f471]) ).
fof(f1055,plain,
! [X0,X1] :
( sK20(X0,X1) = hd(cons(sK20(X0,X1),sK22))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f1026,f386]) ).
fof(f1054,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK22))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f1026,f473]) ).
fof(f1026,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22)) = X0 ),
inference(resolution,[],[f572,f390]) ).
fof(f1051,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK64(X1))) = X0
| sP18(X1) ),
inference(resolution,[],[f572,f558]) ).
fof(f1050,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK63(X1))) = X0
| sP18(X1) ),
inference(resolution,[],[f572,f557]) ).
fof(f1049,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK62(X1))) = X0
| sP18(X1) ),
inference(resolution,[],[f572,f556]) ).
fof(f1048,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK59(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f572,f547]) ).
fof(f1047,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK58(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f572,f546]) ).
fof(f1046,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK57(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f572,f545]) ).
fof(f1045,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK54(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f572,f535]) ).
fof(f1044,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK53(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f572,f534]) ).
fof(f1043,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK52(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f572,f533]) ).
fof(f1042,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK49(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f572,f523]) ).
fof(f1041,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK48(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f572,f522]) ).
fof(f1040,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK47(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f572,f521]) ).
fof(f1039,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK44(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f572,f511]) ).
fof(f1038,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f572,f510]) ).
fof(f1037,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK42(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f572,f509]) ).
fof(f1036,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK39(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f572,f500]) ).
fof(f1035,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK38(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f572,f499]) ).
fof(f1034,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK37(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f572,f498]) ).
fof(f1033,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK34(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f572,f489]) ).
fof(f1032,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK33(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f572,f488]) ).
fof(f1031,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK29(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f572,f478]) ).
fof(f1030,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK26(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f572,f470]) ).
fof(f1053,plain,
! [X0] :
( hd(cons(X0,sK23)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1029,f394]) ).
fof(f1029,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK25)) = X0 ),
inference(resolution,[],[f572,f393]) ).
fof(f1052,plain,
! [X0] :
( hd(cons(X0,sK22)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f1028,f395]) ).
fof(f1028,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK24)) = X0 ),
inference(resolution,[],[f572,f392]) ).
fof(f1025,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK21(X1,X2))) = X0
| ~ sP0(X1,X2) ),
inference(resolution,[],[f572,f387]) ).
fof(f1024,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f572,f474]) ).
fof(f1022,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f572,f578]) ).
fof(f1021,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f572,f568]) ).
fof(f1018,plain,
sK23 = tl(cons(sK72,sK23)),
inference(resolution,[],[f946,f613]) ).
fof(f1017,plain,
sK23 = tl(cons(sK71,sK23)),
inference(resolution,[],[f946,f612]) ).
fof(f1001,plain,
! [X0] :
( sK23 = tl(cons(sK28(X0),sK23))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f946,f476]) ).
fof(f1000,plain,
! [X0] :
( sK23 = tl(cons(sK27(X0),sK23))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f946,f471]) ).
fof(f997,plain,
! [X0] :
( sK23 = tl(cons(hd(X0),sK23))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f946,f473]) ).
fof(f946,plain,
! [X0] :
( ~ ssItem(X0)
| sK23 = tl(cons(X0,sK23)) ),
inference(resolution,[],[f571,f391]) ).
fof(f994,plain,
sK22 = tl(cons(sK72,sK22)),
inference(resolution,[],[f945,f613]) ).
fof(f993,plain,
sK22 = tl(cons(sK71,sK22)),
inference(resolution,[],[f945,f612]) ).
fof(f977,plain,
! [X0] :
( sK22 = tl(cons(sK28(X0),sK22))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f945,f476]) ).
fof(f976,plain,
! [X0] :
( sK22 = tl(cons(sK27(X0),sK22))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f945,f471]) ).
fof(f973,plain,
! [X0] :
( sK22 = tl(cons(hd(X0),sK22))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f945,f473]) ).
fof(f945,plain,
! [X0] :
( ~ ssItem(X0)
| sK22 = tl(cons(X0,sK22)) ),
inference(resolution,[],[f571,f390]) ).
fof(f970,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK64(X1) = tl(cons(X0,sK64(X1)))
| sP18(X1) ),
inference(resolution,[],[f571,f558]) ).
fof(f969,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK63(X1) = tl(cons(X0,sK63(X1)))
| sP18(X1) ),
inference(resolution,[],[f571,f557]) ).
fof(f968,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK62(X1) = tl(cons(X0,sK62(X1)))
| sP18(X1) ),
inference(resolution,[],[f571,f556]) ).
fof(f967,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK59(X1) = tl(cons(X0,sK59(X1)))
| sP16(X1) ),
inference(resolution,[],[f571,f547]) ).
fof(f966,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK58(X1) = tl(cons(X0,sK58(X1)))
| sP16(X1) ),
inference(resolution,[],[f571,f546]) ).
fof(f965,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK57(X1) = tl(cons(X0,sK57(X1)))
| sP16(X1) ),
inference(resolution,[],[f571,f545]) ).
fof(f964,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK54(X1) = tl(cons(X0,sK54(X1)))
| sP14(X1) ),
inference(resolution,[],[f571,f535]) ).
fof(f963,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK53(X1) = tl(cons(X0,sK53(X1)))
| sP14(X1) ),
inference(resolution,[],[f571,f534]) ).
fof(f962,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK52(X1) = tl(cons(X0,sK52(X1)))
| sP14(X1) ),
inference(resolution,[],[f571,f533]) ).
fof(f961,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK49(X1) = tl(cons(X0,sK49(X1)))
| sP12(X1) ),
inference(resolution,[],[f571,f523]) ).
fof(f960,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK48(X1) = tl(cons(X0,sK48(X1)))
| sP12(X1) ),
inference(resolution,[],[f571,f522]) ).
fof(f959,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK47(X1) = tl(cons(X0,sK47(X1)))
| sP12(X1) ),
inference(resolution,[],[f571,f521]) ).
fof(f958,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK44(X1) = tl(cons(X0,sK44(X1)))
| sP10(X1) ),
inference(resolution,[],[f571,f511]) ).
fof(f957,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK43(X1) = tl(cons(X0,sK43(X1)))
| sP10(X1) ),
inference(resolution,[],[f571,f510]) ).
fof(f956,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK42(X1) = tl(cons(X0,sK42(X1)))
| sP10(X1) ),
inference(resolution,[],[f571,f509]) ).
fof(f955,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK39(X1) = tl(cons(X0,sK39(X1)))
| sP8(X1) ),
inference(resolution,[],[f571,f500]) ).
fof(f954,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK38(X1) = tl(cons(X0,sK38(X1)))
| sP8(X1) ),
inference(resolution,[],[f571,f499]) ).
fof(f953,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK37(X1) = tl(cons(X0,sK37(X1)))
| sP8(X1) ),
inference(resolution,[],[f571,f498]) ).
fof(f952,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK34(X1) = tl(cons(X0,sK34(X1)))
| sP6(X1) ),
inference(resolution,[],[f571,f489]) ).
fof(f951,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK33(X1) = tl(cons(X0,sK33(X1)))
| sP6(X1) ),
inference(resolution,[],[f571,f488]) ).
fof(f950,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK29(X1) = tl(cons(X0,sK29(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f478]) ).
fof(f949,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK26(X1) = tl(cons(X0,sK26(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f470]) ).
fof(f972,plain,
! [X0] :
( sK23 = tl(cons(X0,sK23))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f948,f394]) ).
fof(f948,plain,
! [X0] :
( ~ ssItem(X0)
| sK25 = tl(cons(X0,sK25)) ),
inference(resolution,[],[f571,f393]) ).
fof(f971,plain,
! [X0] :
( sK22 = tl(cons(X0,sK22))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f947,f395]) ).
fof(f947,plain,
! [X0] :
( ~ ssItem(X0)
| sK24 = tl(cons(X0,sK24)) ),
inference(resolution,[],[f571,f392]) ).
fof(f944,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| sK21(X1,X2) = tl(cons(X0,sK21(X1,X2)))
| ~ sP0(X1,X2) ),
inference(resolution,[],[f571,f387]) ).
fof(f943,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f571,f474]) ).
fof(f941,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f571,f578]) ).
fof(f940,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f571,f568]) ).
fof(f931,plain,
( tl(sK23) = sK29(sK23)
| spl73_6 ),
inference(subsumption_resolution,[],[f904,f894]) ).
fof(f928,plain,
! [X0] :
( nil = sK64(X0)
| tl(sK64(X0)) = sK29(sK64(X0))
| sP18(X0) ),
inference(resolution,[],[f479,f558]) ).
fof(f927,plain,
! [X0] :
( nil = sK63(X0)
| tl(sK63(X0)) = sK29(sK63(X0))
| sP18(X0) ),
inference(resolution,[],[f479,f557]) ).
fof(f926,plain,
! [X0] :
( nil = sK62(X0)
| tl(sK62(X0)) = sK29(sK62(X0))
| sP18(X0) ),
inference(resolution,[],[f479,f556]) ).
fof(f925,plain,
! [X0] :
( nil = sK59(X0)
| tl(sK59(X0)) = sK29(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f479,f547]) ).
fof(f924,plain,
! [X0] :
( nil = sK58(X0)
| tl(sK58(X0)) = sK29(sK58(X0))
| sP16(X0) ),
inference(resolution,[],[f479,f546]) ).
fof(f923,plain,
! [X0] :
( nil = sK57(X0)
| tl(sK57(X0)) = sK29(sK57(X0))
| sP16(X0) ),
inference(resolution,[],[f479,f545]) ).
fof(f922,plain,
! [X0] :
( nil = sK54(X0)
| tl(sK54(X0)) = sK29(sK54(X0))
| sP14(X0) ),
inference(resolution,[],[f479,f535]) ).
fof(f921,plain,
! [X0] :
( nil = sK53(X0)
| tl(sK53(X0)) = sK29(sK53(X0))
| sP14(X0) ),
inference(resolution,[],[f479,f534]) ).
fof(f920,plain,
! [X0] :
( nil = sK52(X0)
| tl(sK52(X0)) = sK29(sK52(X0))
| sP14(X0) ),
inference(resolution,[],[f479,f533]) ).
fof(f919,plain,
! [X0] :
( nil = sK49(X0)
| tl(sK49(X0)) = sK29(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f479,f523]) ).
fof(f918,plain,
! [X0] :
( nil = sK48(X0)
| tl(sK48(X0)) = sK29(sK48(X0))
| sP12(X0) ),
inference(resolution,[],[f479,f522]) ).
fof(f917,plain,
! [X0] :
( nil = sK47(X0)
| tl(sK47(X0)) = sK29(sK47(X0))
| sP12(X0) ),
inference(resolution,[],[f479,f521]) ).
fof(f916,plain,
! [X0] :
( nil = sK44(X0)
| tl(sK44(X0)) = sK29(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f479,f511]) ).
fof(f915,plain,
! [X0] :
( nil = sK43(X0)
| tl(sK43(X0)) = sK29(sK43(X0))
| sP10(X0) ),
inference(resolution,[],[f479,f510]) ).
fof(f914,plain,
! [X0] :
( nil = sK42(X0)
| tl(sK42(X0)) = sK29(sK42(X0))
| sP10(X0) ),
inference(resolution,[],[f479,f509]) ).
fof(f913,plain,
! [X0] :
( nil = sK39(X0)
| tl(sK39(X0)) = sK29(sK39(X0))
| sP8(X0) ),
inference(resolution,[],[f479,f500]) ).
fof(f912,plain,
! [X0] :
( nil = sK38(X0)
| tl(sK38(X0)) = sK29(sK38(X0))
| sP8(X0) ),
inference(resolution,[],[f479,f499]) ).
fof(f911,plain,
! [X0] :
( nil = sK37(X0)
| tl(sK37(X0)) = sK29(sK37(X0))
| sP8(X0) ),
inference(resolution,[],[f479,f498]) ).
fof(f910,plain,
! [X0] :
( nil = sK34(X0)
| tl(sK34(X0)) = sK29(sK34(X0))
| sP6(X0) ),
inference(resolution,[],[f479,f489]) ).
fof(f909,plain,
! [X0] :
( nil = sK33(X0)
| tl(sK33(X0)) = sK29(sK33(X0))
| sP6(X0) ),
inference(resolution,[],[f479,f488]) ).
fof(f908,plain,
! [X0] :
( nil = sK29(X0)
| tl(sK29(X0)) = sK29(sK29(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f479,f478]) ).
fof(f907,plain,
! [X0] :
( nil = sK26(X0)
| tl(sK26(X0)) = sK29(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f479,f470]) ).
fof(f937,plain,
( tl(sK23) = sK29(sK23)
| spl73_6 ),
inference(forward_demodulation,[],[f936,f394]) ).
fof(f936,plain,
( tl(sK25) = sK29(sK25)
| spl73_6 ),
inference(subsumption_resolution,[],[f935,f894]) ).
fof(f902,plain,
! [X0,X1] :
( nil = sK21(X0,X1)
| tl(sK21(X0,X1)) = sK29(sK21(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f479,f387]) ).
fof(f901,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK29(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f479,f474]) ).
fof(f899,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK29(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f479,f578]) ).
fof(f929,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK29(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f898,f569]) ).
fof(f898,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK29(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f479,f568]) ).
fof(f855,plain,
( nil = sK23
| hd(sK23) = sK28(sK23) ),
inference(resolution,[],[f477,f391]) ).
fof(f879,plain,
! [X0] :
( nil = sK64(X0)
| hd(sK64(X0)) = sK28(sK64(X0))
| sP18(X0) ),
inference(resolution,[],[f477,f558]) ).
fof(f878,plain,
! [X0] :
( nil = sK63(X0)
| hd(sK63(X0)) = sK28(sK63(X0))
| sP18(X0) ),
inference(resolution,[],[f477,f557]) ).
fof(f877,plain,
! [X0] :
( nil = sK62(X0)
| hd(sK62(X0)) = sK28(sK62(X0))
| sP18(X0) ),
inference(resolution,[],[f477,f556]) ).
fof(f876,plain,
! [X0] :
( nil = sK59(X0)
| hd(sK59(X0)) = sK28(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f477,f547]) ).
fof(f875,plain,
! [X0] :
( nil = sK58(X0)
| hd(sK58(X0)) = sK28(sK58(X0))
| sP16(X0) ),
inference(resolution,[],[f477,f546]) ).
fof(f874,plain,
! [X0] :
( nil = sK57(X0)
| hd(sK57(X0)) = sK28(sK57(X0))
| sP16(X0) ),
inference(resolution,[],[f477,f545]) ).
fof(f873,plain,
! [X0] :
( nil = sK54(X0)
| hd(sK54(X0)) = sK28(sK54(X0))
| sP14(X0) ),
inference(resolution,[],[f477,f535]) ).
fof(f872,plain,
! [X0] :
( nil = sK53(X0)
| hd(sK53(X0)) = sK28(sK53(X0))
| sP14(X0) ),
inference(resolution,[],[f477,f534]) ).
fof(f871,plain,
! [X0] :
( nil = sK52(X0)
| hd(sK52(X0)) = sK28(sK52(X0))
| sP14(X0) ),
inference(resolution,[],[f477,f533]) ).
fof(f870,plain,
! [X0] :
( nil = sK49(X0)
| hd(sK49(X0)) = sK28(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f477,f523]) ).
fof(f869,plain,
! [X0] :
( nil = sK48(X0)
| hd(sK48(X0)) = sK28(sK48(X0))
| sP12(X0) ),
inference(resolution,[],[f477,f522]) ).
fof(f868,plain,
! [X0] :
( nil = sK47(X0)
| hd(sK47(X0)) = sK28(sK47(X0))
| sP12(X0) ),
inference(resolution,[],[f477,f521]) ).
fof(f867,plain,
! [X0] :
( nil = sK44(X0)
| hd(sK44(X0)) = sK28(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f477,f511]) ).
fof(f866,plain,
! [X0] :
( nil = sK43(X0)
| hd(sK43(X0)) = sK28(sK43(X0))
| sP10(X0) ),
inference(resolution,[],[f477,f510]) ).
fof(f865,plain,
! [X0] :
( nil = sK42(X0)
| hd(sK42(X0)) = sK28(sK42(X0))
| sP10(X0) ),
inference(resolution,[],[f477,f509]) ).
fof(f864,plain,
! [X0] :
( nil = sK39(X0)
| hd(sK39(X0)) = sK28(sK39(X0))
| sP8(X0) ),
inference(resolution,[],[f477,f500]) ).
fof(f863,plain,
! [X0] :
( nil = sK38(X0)
| hd(sK38(X0)) = sK28(sK38(X0))
| sP8(X0) ),
inference(resolution,[],[f477,f499]) ).
fof(f862,plain,
! [X0] :
( nil = sK37(X0)
| hd(sK37(X0)) = sK28(sK37(X0))
| sP8(X0) ),
inference(resolution,[],[f477,f498]) ).
fof(f861,plain,
! [X0] :
( nil = sK34(X0)
| hd(sK34(X0)) = sK28(sK34(X0))
| sP6(X0) ),
inference(resolution,[],[f477,f489]) ).
fof(f860,plain,
! [X0] :
( nil = sK33(X0)
| hd(sK33(X0)) = sK28(sK33(X0))
| sP6(X0) ),
inference(resolution,[],[f477,f488]) ).
fof(f859,plain,
! [X0] :
( nil = sK29(X0)
| hd(sK29(X0)) = sK28(sK29(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f477,f478]) ).
fof(f858,plain,
! [X0] :
( nil = sK26(X0)
| hd(sK26(X0)) = sK28(sK26(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f477,f470]) ).
fof(f886,plain,
( hd(sK23) = sK28(sK23)
| nil = sK23 ),
inference(forward_demodulation,[],[f885,f394]) ).
fof(f885,plain,
( nil = sK23
| hd(sK25) = sK28(sK25) ),
inference(forward_demodulation,[],[f857,f394]) ).
fof(f857,plain,
( nil = sK25
| hd(sK25) = sK28(sK25) ),
inference(resolution,[],[f477,f393]) ).
fof(f853,plain,
! [X0,X1] :
( nil = sK21(X0,X1)
| hd(sK21(X0,X1)) = sK28(sK21(X0,X1))
| ~ sP0(X0,X1) ),
inference(resolution,[],[f477,f387]) ).
fof(f852,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK28(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f477,f474]) ).
fof(f850,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK28(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f477,f578]) ).
fof(f880,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f849,f569]) ).
fof(f849,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK28(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f477,f568]) ).
fof(f848,plain,
! [X0,X1] :
( nil = X0
| ~ sP4(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f455,f420]) ).
fof(f847,plain,
! [X0,X1] :
( nil = X0
| ~ sP4(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f455,f430]) ).
fof(f846,plain,
! [X0] :
( nil = X0
| ~ sP4(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f455,f408]) ).
fof(f831,plain,
! [X0] :
( sK64(X0) = app(nil,sK64(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f735,f663]) ).
fof(f830,plain,
! [X0] :
( sK63(X0) = app(nil,sK63(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f734,f663]) ).
fof(f829,plain,
! [X0] :
( sK62(X0) = app(nil,sK62(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f733,f663]) ).
fof(f828,plain,
! [X0] :
( sK59(X0) = app(nil,sK59(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f732,f661]) ).
fof(f827,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f731,f661]) ).
fof(f826,plain,
! [X0] :
( sK57(X0) = app(nil,sK57(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f730,f661]) ).
fof(f820,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f819]) ).
fof(f819,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f424,f418]) ).
fof(f817,plain,
! [X0] :
( sK64(X0) = app(sK64(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f707,f663]) ).
fof(f816,plain,
! [X0] :
( sK63(X0) = app(sK63(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f706,f663]) ).
fof(f815,plain,
! [X0] :
( sK62(X0) = app(sK62(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f705,f663]) ).
fof(f814,plain,
! [X0] :
( sK59(X0) = app(sK59(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f704,f661]) ).
fof(f813,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f703,f661]) ).
fof(f812,plain,
! [X0] :
( sK57(X0) = app(sK57(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f702,f661]) ).
fof(f1703,plain,
( spl73_6
| spl73_15 ),
inference(avatar_contradiction_clause,[],[f1702]) ).
fof(f1702,plain,
( $false
| spl73_6
| spl73_15 ),
inference(subsumption_resolution,[],[f1701,f391]) ).
fof(f1701,plain,
( ~ ssList(sK23)
| spl73_6
| spl73_15 ),
inference(subsumption_resolution,[],[f1700,f894]) ).
fof(f1700,plain,
( nil = sK23
| ~ ssList(sK23)
| spl73_15 ),
inference(resolution,[],[f1694,f473]) ).
fof(f1694,plain,
( ~ ssItem(hd(sK23))
| spl73_15 ),
inference(avatar_component_clause,[],[f1692]) ).
fof(f1692,plain,
( spl73_15
<=> ssItem(hd(sK23)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_15])]) ).
fof(f1699,plain,
( ~ spl73_15
| ~ spl73_16
| spl73_6 ),
inference(avatar_split_clause,[],[f1676,f893,f1696,f1692]) ).
fof(f1696,plain,
( spl73_16
<=> sK23 = tl(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_16])]) ).
fof(f1676,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| spl73_6 ),
inference(subsumption_resolution,[],[f1675,f391]) ).
fof(f1675,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ ssList(sK23)
| spl73_6 ),
inference(inner_rewriting,[],[f1673]) ).
fof(f1673,plain,
( sK23 != tl(sK23)
| ~ ssItem(hd(sK23))
| ~ ssList(tl(sK23))
| spl73_6 ),
inference(superposition,[],[f570,f1654]) ).
fof(f1652,plain,
( ~ spl73_1
| ~ spl73_6 ),
inference(avatar_contradiction_clause,[],[f1651]) ).
fof(f1651,plain,
( $false
| ~ spl73_1
| ~ spl73_6 ),
inference(subsumption_resolution,[],[f1650,f406]) ).
fof(f1650,plain,
( ~ ssList(nil)
| ~ spl73_1
| ~ spl73_6 ),
inference(resolution,[],[f1577,f643]) ).
fof(f1577,plain,
( neq(nil,nil)
| ~ spl73_1
| ~ spl73_6 ),
inference(superposition,[],[f676,f895]) ).
fof(f895,plain,
( nil = sK23
| ~ spl73_6 ),
inference(avatar_component_clause,[],[f893]) ).
fof(f676,plain,
( neq(sK23,nil)
| ~ spl73_1 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f674,plain,
( spl73_1
<=> neq(sK23,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_1])]) ).
fof(f1568,plain,
( spl73_6
| spl73_13 ),
inference(avatar_contradiction_clause,[],[f1567]) ).
fof(f1567,plain,
( $false
| spl73_6
| spl73_13 ),
inference(subsumption_resolution,[],[f1566,f391]) ).
fof(f1566,plain,
( ~ ssList(sK23)
| spl73_6
| spl73_13 ),
inference(subsumption_resolution,[],[f1565,f894]) ).
fof(f1565,plain,
( nil = sK23
| ~ ssList(sK23)
| spl73_13 ),
inference(resolution,[],[f1559,f471]) ).
fof(f1559,plain,
( ~ ssItem(sK27(sK23))
| spl73_13 ),
inference(avatar_component_clause,[],[f1557]) ).
fof(f1564,plain,
( ~ spl73_13
| ~ spl73_14
| spl73_6 ),
inference(avatar_split_clause,[],[f1536,f893,f1561,f1557]) ).
fof(f1561,plain,
( spl73_14
<=> sK23 = sK26(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_14])]) ).
fof(f1549,plain,
( ~ spl73_2
| ~ spl73_3
| spl73_11 ),
inference(avatar_contradiction_clause,[],[f1548]) ).
fof(f1548,plain,
( $false
| ~ spl73_2
| ~ spl73_3
| spl73_11 ),
inference(subsumption_resolution,[],[f1547,f390]) ).
fof(f1547,plain,
( ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3
| spl73_11 ),
inference(subsumption_resolution,[],[f1546,f810]) ).
fof(f1546,plain,
( nil = sK22
| ~ ssList(sK22)
| spl73_11 ),
inference(resolution,[],[f1540,f471]) ).
fof(f1540,plain,
( ~ ssItem(sK27(sK22))
| spl73_11 ),
inference(avatar_component_clause,[],[f1538]) ).
fof(f1545,plain,
( ~ spl73_11
| ~ spl73_12
| ~ spl73_2
| ~ spl73_3 ),
inference(avatar_split_clause,[],[f1526,f793,f678,f1542,f1538]) ).
fof(f1542,plain,
( spl73_12
<=> sK22 = sK26(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_12])]) ).
fof(f1526,plain,
( sK22 != sK26(sK22)
| ~ ssItem(sK27(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1525,f390]) ).
fof(f1525,plain,
( sK22 != sK26(sK22)
| ~ ssItem(sK27(sK22))
| ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(inner_rewriting,[],[f1521]) ).
fof(f1521,plain,
( sK22 != sK26(sK22)
| ~ ssItem(sK27(sK22))
| ~ ssList(sK26(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(superposition,[],[f570,f1507]) ).
fof(f1218,plain,
( ~ spl73_2
| ~ spl73_3
| spl73_10 ),
inference(avatar_contradiction_clause,[],[f1217]) ).
fof(f1217,plain,
( $false
| ~ spl73_2
| ~ spl73_3
| spl73_10 ),
inference(subsumption_resolution,[],[f1216,f390]) ).
fof(f1216,plain,
( ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3
| spl73_10 ),
inference(subsumption_resolution,[],[f1215,f406]) ).
fof(f1215,plain,
( ~ ssList(nil)
| ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3
| spl73_10 ),
inference(subsumption_resolution,[],[f1213,f810]) ).
fof(f1213,plain,
( nil = sK22
| ~ ssList(nil)
| ~ ssList(sK22)
| spl73_10 ),
inference(resolution,[],[f1211,f586]) ).
fof(f1211,plain,
( ~ neq(sK22,nil)
| spl73_10 ),
inference(avatar_component_clause,[],[f1209]) ).
fof(f1209,plain,
( spl73_10
<=> neq(sK22,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_10])]) ).
fof(f1212,plain,
( ~ spl73_9
| ~ spl73_10
| ~ spl73_2 ),
inference(avatar_split_clause,[],[f1203,f678,f1209,f1205]) ).
fof(f1203,plain,
( ~ neq(sK22,nil)
| ~ rearsegP(sK23,sK22)
| ~ spl73_2 ),
inference(resolution,[],[f385,f680]) ).
fof(f1159,plain,
spl73_2,
inference(avatar_contradiction_clause,[],[f1158]) ).
fof(f1158,plain,
( $false
| spl73_2 ),
inference(global_subsumption,[],[f385,f389,f397,f396,f419,f421,f422,f431,f647,f432,f433,f434,f435,f436,f439,f437,f645,f441,f440,f449,f457,f461,f460,f459,f472,f475,f490,f624,f501,f644,f512,f627,f524,f628,f536,f629,f548,f630,f559,f631,f632,f633,f634,f573,f635,f576,f575,f574,f579,f580,f581,f582,f583,f584,f637,f589,f588,f587,f638,f592,f591,f639,f595,f594,f642,f598,f597,f600,f602,f601,f603,f604,f605,f606,f607,f608,f609,f610,f611,f390,f391,f392,f393,f398,f399,f400,f401,f402,f403,f404,f405,f406,f612,f613,f394,f395,f614,f619,f621,f649,f650,f651,f492,f503,f515,f527,f539,f550,f561,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,f643,f648,f652,f411,f412,f413,f414,f415,f416,f417,f483,f493,f504,f516,f528,f540,f541,f551,f552,f655,f656,f657,f658,f659,f660,f661,f662,f663,f672,f665,f386,f387,f450,f458,f468,f683,f708,f709,f684,f685,f469,f711,f736,f737,f712,f713,f480,f491,f502,f513,f514,f525,f526,f537,f538,f549,f560,f383,f384,f446,f454,f470,f744,f745,f471,f473,f474,f746,f747,f476,f478,f748,f749,f562,f564,f566,f568,f765,f766,f578,f767,f768,f569,f570,f646,f688,f689,f388,f418,f420,f690,f691,f692,f693,f694,f695,f696,f697,f698,f699,f423,f700,f701,f702,f812,f703,f813,f704,f814,f705,f815,f706,f816,f707,f817,f716,f717,f718,f424,f820,f719,f720,f721,f722,f723,f724,f725,f726,f727,f728,f729,f426,f730,f826,f731,f827,f732,f828,f733,f829,f734,f830,f735,f831,f427,f428,f430,f443,f444,f447,f451,f452,f455,f846,f847,f848,f477,f880,f850,f852,f853,f886,f858,f859,f860,f861,f862,f863,f864,f865,f866,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f855,f479,f929,f899,f901,f902,f907,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f481,f571,f940,f941,f942,f943,f944,f971,f972,f949,f950,f951,f952,f953,f954,f955,f956,f957,f958,f959,f960,f961,f962,f963,f964,f965,f966,f967,f968,f969,f970,f945,f973,f974,f976,f977,f978,f989,f990,f991,f992,f993,f994,f946,f997,f998,f1000,f1001,f1002,f1003,f1004,f1005,f1006,f1007,f1008,f1009,f1010,f1011,f1012,f1013,f1014,f1015,f1016,f1017,f1018,f572,f1021,f1022,f1023,f1024,f1025,f1052,f1053,f1030,f1031,f1032,f1033,f1034,f1035,f1036,f1037,f1038,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1049,f1050,f1051,f1026,f1054,f1055,f1057,f1058,f1059,f1060,f1061,f1062,f1063,f1064,f1065,f1066,f1067,f1068,f1069,f1070,f1071,f1072,f1073,f1074,f1076,f1077,f1075,f1079,f1080,f1027,f1082,f1083,f1085,f1086,f1087,f1088,f1089,f1090,f1091,f1092,f1093,f1094,f1095,f1096,f1097,f1098,f1099,f1100,f1101,f1102,f1104,f1105,f1103,f1107,f1108,f586,f979,f980,f981,f982,f983,f984,f985,f986,f987,f988,f623,f1118,f1155,f903,f1156,f854,f679]) ).
fof(f679,plain,
( ~ sP1(sK22,sK23,sK22,sK23)
| spl73_2 ),
inference(avatar_component_clause,[],[f678]) ).
fof(f1153,plain,
( ~ spl73_2
| ~ spl73_3
| spl73_7 ),
inference(avatar_contradiction_clause,[],[f1152]) ).
fof(f1152,plain,
( $false
| ~ spl73_2
| ~ spl73_3
| spl73_7 ),
inference(subsumption_resolution,[],[f1151,f390]) ).
fof(f1151,plain,
( ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3
| spl73_7 ),
inference(subsumption_resolution,[],[f1150,f1121]) ).
fof(f1150,plain,
( ~ singletonP(sK22)
| ~ ssList(sK22)
| spl73_7 ),
inference(resolution,[],[f1144,f480]) ).
fof(f1144,plain,
( ~ ssItem(sK30(sK22))
| spl73_7 ),
inference(avatar_component_clause,[],[f1142]) ).
fof(f1149,plain,
( ~ spl73_7
| spl73_8
| ~ spl73_2
| ~ spl73_3 ),
inference(avatar_split_clause,[],[f1140,f793,f678,f1146,f1142]) ).
fof(f1146,plain,
( spl73_8
<=> memberP(sK22,sK30(sK22)) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_8])]) ).
fof(f1140,plain,
( memberP(sK22,sK30(sK22))
| ~ ssItem(sK30(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1139,f406]) ).
fof(f1139,plain,
( memberP(sK22,sK30(sK22))
| ~ ssList(nil)
| ~ ssItem(sK30(sK22))
| ~ spl73_2
| ~ spl73_3 ),
inference(superposition,[],[f646,f1123]) ).
fof(f1123,plain,
( sK22 = cons(sK30(sK22),nil)
| ~ spl73_2
| ~ spl73_3 ),
inference(subsumption_resolution,[],[f1122,f390]) ).
fof(f1122,plain,
( sK22 = cons(sK30(sK22),nil)
| ~ ssList(sK22)
| ~ spl73_2
| ~ spl73_3 ),
inference(resolution,[],[f1121,f481]) ).
fof(f896,plain,
( spl73_5
| spl73_6 ),
inference(avatar_split_clause,[],[f855,f893,f889]) ).
fof(f889,plain,
( spl73_5
<=> hd(sK23) = sK28(sK23) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_5])]) ).
fof(f803,plain,
( ~ spl73_2
| spl73_3 ),
inference(avatar_contradiction_clause,[],[f802]) ).
fof(f802,plain,
( $false
| ~ spl73_2
| spl73_3 ),
inference(subsumption_resolution,[],[f801,f741]) ).
fof(f801,plain,
( ~ sP0(sK23,sK22)
| spl73_3 ),
inference(resolution,[],[f795,f386]) ).
fof(f795,plain,
( ~ ssItem(sK20(sK23,sK22))
| spl73_3 ),
inference(avatar_component_clause,[],[f793]) ).
fof(f800,plain,
( ~ spl73_3
| spl73_4
| ~ spl73_2 ),
inference(avatar_split_clause,[],[f776,f678,f797,f793]) ).
fof(f797,plain,
( spl73_4
<=> equalelemsP(sK22) ),
introduced(avatar_definition,[new_symbols(naming,[spl73_4])]) ).
fof(f740,plain,
( spl73_1
| ~ spl73_2 ),
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| spl73_1
| ~ spl73_2 ),
inference(subsumption_resolution,[],[f738,f675]) ).
fof(f675,plain,
( ~ neq(sK23,nil)
| spl73_1 ),
inference(avatar_component_clause,[],[f674]) ).
fof(f681,plain,
( spl73_1
| spl73_2 ),
inference(avatar_split_clause,[],[f665,f678,f674]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : SWC106+1 : TPTP v8.2.0. Released v2.4.0.
% 0.11/0.15 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35 % Computer : n007.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
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Sun May 19 02:50:53 EDT 2024
% 0.15/0.36 % CPUTime :
% 0.15/0.36 % (2904)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.37 % (2907)WARNING: value z3 for option sas not known
% 0.15/0.37 % (2907)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.38 % (2906)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.15/0.38 % (2905)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.15/0.38 % (2908)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.15/0.38 % (2909)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.15/0.38 % (2911)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)
% 0.15/0.38 % (2910)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)
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [1]
% 0.15/0.40 TRYING [2]
% 0.15/0.40 TRYING [2]
% 0.15/0.41 TRYING [3]
% 0.21/0.41 TRYING [3]
% 0.21/0.43 TRYING [1]
% 0.21/0.43 TRYING [2]
% 0.21/0.43 % (2907)First to succeed.
% 0.21/0.43 % (2910)Also succeeded, but the first one will report.
% 0.21/0.44 % (2907)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2904"
% 0.21/0.44 TRYING [3]
% 0.21/0.44 % (2907)Refutation found. Thanks to Tanya!
% 0.21/0.44 % SZS status Theorem for theBenchmark
% 0.21/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.45 % (2907)------------------------------
% 0.21/0.45 % (2907)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.21/0.45 % (2907)Termination reason: Refutation
% 0.21/0.45
% 0.21/0.45 % (2907)Memory used [KB]: 2586
% 0.21/0.45 % (2907)Time elapsed: 0.067 s
% 0.21/0.45 % (2907)Instructions burned: 225 (million)
% 0.21/0.45 % (2904)Success in time 0.084 s
%------------------------------------------------------------------------------