TSTP Solution File: SWC108+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC108+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 : n008.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 04:47:28 EDT 2024
% Result : Theorem 2.19s 0.66s
% Output : Refutation 2.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 218
% Syntax : Number of formulae : 1776 ( 67 unt; 0 def)
% Number of atoms : 6746 (2005 equ)
% Maximal formula atoms : 30 ( 3 avg)
% Number of connectives : 7705 (2735 ~;3786 |; 768 &)
% ( 130 <=>; 286 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 92 ( 90 usr; 54 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 2476 (2155 !; 321 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7262,plain,
$false,
inference(avatar_sat_refutation,[],[f654,f692,f695,f1562,f1566,f1581,f1585,f1665,f1669,f1717,f1719,f1763,f1767,f1803,f1862,f1866,f1894,f1898,f2181,f2185,f2307,f2651,f2655,f2743,f2747,f3108,f3113,f3415,f3420,f3477,f3482,f3539,f3596,f3616,f3784,f4608,f4898,f5485,f5490,f5700,f5747,f5751,f5852,f5856,f6297,f6442,f6500,f7261]) ).
fof(f7261,plain,
( spl69_1
| ~ spl69_24 ),
inference(avatar_contradiction_clause,[],[f7260]) ).
fof(f7260,plain,
( $false
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f7259,f375]) ).
fof(f375,plain,
ssList(sK19),
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( rearsegP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& ( ( ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21])],[f99,f253,f252,f251,f250]) ).
fof(f250,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(X1,sK18)
| ~ neq(sK18,nil) )
& neq(X1,nil) )
| ( nil != sK18
& nil = X1 ) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(X1,sK18)
| ~ neq(sK18,nil) )
& neq(X1,nil) )
| ( nil != sK18
& nil = X1 ) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( rearsegP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& ( ( ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ( rearsegP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& ( ( ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ( rearsegP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& ( ( ( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil) )
& neq(sK19,nil) )
| ( nil != sK18
& nil = sK19 ) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( rearsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( ( ( ~ segmentP(X1,X0)
| ~ neq(X0,nil) )
& neq(X1,nil) )
| ( nil != X0
& nil = X1 ) )
& 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)
=> ( ( ( ~ rearsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ rearsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( ( ( segmentP(X1,X0)
& neq(X0,nil) )
| ~ neq(X1,nil) )
& ( nil = X0
| nil != X1 ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f7259,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_24 ),
inference(forward_demodulation,[],[f7258,f698]) ).
fof(f698,plain,
sK19 = app(sK19,nil),
inference(resolution,[],[f458,f375]) ).
fof(f458,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(f7258,plain,
( ~ ssList(app(sK19,nil))
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f7257,f396]) ).
fof(f396,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f7257,plain,
( ~ ssList(app(sK19,nil))
| ~ ssList(nil)
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f7250,f675]) ).
fof(f675,plain,
( ~ segmentP(sK19,sK18)
| spl69_1 ),
inference(subsumption_resolution,[],[f674,f648]) ).
fof(f648,plain,
( nil != sK19
| spl69_1 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f647,plain,
( spl69_1
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f674,plain,
( ~ segmentP(sK19,sK18)
| nil = sK19
| spl69_1 ),
inference(subsumption_resolution,[],[f382,f657]) ).
fof(f657,plain,
( neq(sK18,nil)
| spl69_1 ),
inference(subsumption_resolution,[],[f656,f648]) ).
fof(f656,plain,
( nil = sK19
| neq(sK18,nil) ),
inference(forward_demodulation,[],[f655,f378]) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f655,plain,
( neq(sK18,nil)
| nil = sK21 ),
inference(forward_demodulation,[],[f384,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f384,plain,
( neq(sK20,nil)
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f382,plain,
( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil)
| nil = sK19 ),
inference(cnf_transformation,[],[f254]) ).
fof(f7250,plain,
( segmentP(sK19,sK18)
| ~ ssList(app(sK19,nil))
| ~ ssList(nil)
| spl69_1
| ~ spl69_24 ),
inference(superposition,[],[f7187,f698]) ).
fof(f7187,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(app(sK19,X0))
| ~ ssList(X0) )
| spl69_1
| ~ spl69_24 ),
inference(forward_demodulation,[],[f7186,f3079]) ).
fof(f3079,plain,
( sK19 = app(sK66(sK19,sK18),sK18)
| spl69_1 ),
inference(subsumption_resolution,[],[f3078,f375]) ).
fof(f3078,plain,
( sK19 = app(sK66(sK19,sK18),sK18)
| ~ ssList(sK19)
| spl69_1 ),
inference(subsumption_resolution,[],[f3066,f374]) ).
fof(f374,plain,
ssList(sK18),
inference(cnf_transformation,[],[f254]) ).
fof(f3066,plain,
( sK19 = app(sK66(sK19,sK18),sK18)
| ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_1 ),
inference(resolution,[],[f585,f662]) ).
fof(f662,plain,
( rearsegP(sK19,sK18)
| spl69_1 ),
inference(subsumption_resolution,[],[f661,f648]) ).
fof(f661,plain,
( nil = sK19
| rearsegP(sK19,sK18) ),
inference(forward_demodulation,[],[f660,f378]) ).
fof(f660,plain,
( rearsegP(sK19,sK18)
| nil = sK21 ),
inference(forward_demodulation,[],[f659,f378]) ).
fof(f659,plain,
( rearsegP(sK21,sK18)
| nil = sK21 ),
inference(forward_demodulation,[],[f386,f379]) ).
fof(f386,plain,
( rearsegP(sK21,sK20)
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f585,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK66(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f366,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK66(X0,X1),X1) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f365]) ).
fof(f365,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ? [X2] :
( app(X2,X1) = X0
& ssList(X2) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[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(f7186,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(X0)
| ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f7185,f374]) ).
fof(f7185,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f7074,f3102]) ).
fof(f3102,plain,
( ssList(sK66(sK19,sK18))
| ~ spl69_24 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f3101,plain,
( spl69_24
<=> ssList(sK66(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).
fof(f7074,plain,
( ! [X0] :
( segmentP(app(sK19,X0),sK18)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18))
| ~ ssList(sK18)
| ~ ssList(app(app(sK66(sK19,sK18),sK18),X0)) )
| spl69_1 ),
inference(superposition,[],[f628,f3079]) ).
fof(f628,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,[],[f583]) ).
fof(f583,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,[],[f364]) ).
fof(f364,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
& ssList(sK65(X0,X1))
& ssList(sK64(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK64,sK65])],[f361,f363,f362]) ).
fof(f362,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK64(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK64(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f363,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK64(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
& ssList(sK65(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f361,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,[],[f360]) ).
fof(f360,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,[],[f200]) ).
fof(f200,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(f6500,plain,
( spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50
| spl69_52 ),
inference(avatar_contradiction_clause,[],[f6499]) ).
fof(f6499,plain,
( $false
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50
| spl69_52 ),
inference(subsumption_resolution,[],[f6498,f375]) ).
fof(f6498,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50
| spl69_52 ),
inference(subsumption_resolution,[],[f6497,f6350]) ).
fof(f6350,plain,
( singletonP(sK19)
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50 ),
inference(subsumption_resolution,[],[f6349,f5846]) ).
fof(f5846,plain,
( ssList(cons(hd(sK19),nil))
| ~ spl69_48 ),
inference(avatar_component_clause,[],[f5845]) ).
fof(f5845,plain,
( spl69_48
<=> ssList(cons(hd(sK19),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).
fof(f6349,plain,
( singletonP(sK19)
| ~ ssList(cons(hd(sK19),nil))
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_50 ),
inference(subsumption_resolution,[],[f6325,f2232]) ).
fof(f2232,plain,
( ssItem(hd(sK19))
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(superposition,[],[f1575,f2231]) ).
fof(f2231,plain,
( hd(sK19) = sK23(sK19)
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(forward_demodulation,[],[f2211,f2163]) ).
fof(f2163,plain,
( sK19 = cons(sK23(sK19),sK22(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1494,f648]) ).
fof(f1494,plain,
( nil = sK19
| sK19 = cons(sK23(sK19),sK22(sK19)) ),
inference(resolution,[],[f462,f375]) ).
fof(f462,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK23(X0),sK22(X0)) = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f276,plain,
! [X0] :
( ( cons(sK23(X0),sK22(X0)) = X0
& ssItem(sK23(X0))
& ssList(sK22(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK22,sK23])],[f149,f275,f274]) ).
fof(f274,plain,
! [X0] :
( ? [X1] :
( ? [X2] :
( cons(X2,X1) = X0
& ssItem(X2) )
& ssList(X1) )
=> ( ? [X2] :
( cons(X2,sK22(X0)) = X0
& ssItem(X2) )
& ssList(sK22(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f275,plain,
! [X0] :
( ? [X2] :
( cons(X2,sK22(X0)) = X0
& ssItem(X2) )
=> ( cons(sK23(X0),sK22(X0)) = X0
& ssItem(sK23(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(f2211,plain,
( sK23(sK19) = hd(cons(sK23(sK19),sK22(sK19)))
| ~ spl69_8
| ~ spl69_16 ),
inference(resolution,[],[f2193,f1575]) ).
fof(f2193,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(sK19))) = X0 )
| ~ spl69_16 ),
inference(resolution,[],[f2175,f562]) ).
fof(f562,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(f2175,plain,
( ssList(sK22(sK19))
| ~ spl69_16 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2174,plain,
( spl69_16
<=> ssList(sK22(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).
fof(f1575,plain,
( ssItem(sK23(sK19))
| ~ spl69_8 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1574,plain,
( spl69_8
<=> ssItem(sK23(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).
fof(f6325,plain,
( singletonP(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(cons(hd(sK19),nil))
| spl69_1
| ~ spl69_50 ),
inference(superposition,[],[f613,f6298]) ).
fof(f6298,plain,
( sK19 = cons(hd(sK19),nil)
| spl69_1
| ~ spl69_50 ),
inference(superposition,[],[f2329,f6292]) ).
fof(f6292,plain,
( nil = tl(sK19)
| ~ spl69_50 ),
inference(avatar_component_clause,[],[f6290]) ).
fof(f6290,plain,
( spl69_50
<=> nil = tl(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).
fof(f2329,plain,
( sK19 = cons(hd(sK19),tl(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1597,f648]) ).
fof(f1597,plain,
( nil = sK19
| sK19 = cons(hd(sK19),tl(sK19)) ),
inference(resolution,[],[f465,f375]) ).
fof(f465,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(f613,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f472]) ).
fof(f472,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK26(X0),nil) = X0
& ssItem(sK26(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f282,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK26(X0),nil) = X0
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f281]) ).
fof(f281,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(f6497,plain,
( ~ singletonP(sK19)
| ~ ssList(sK19)
| spl69_52 ),
inference(resolution,[],[f6437,f470]) ).
fof(f470,plain,
! [X0] :
( ssItem(sK26(X0))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f6437,plain,
( ~ ssItem(sK26(sK19))
| spl69_52 ),
inference(avatar_component_clause,[],[f6435]) ).
fof(f6435,plain,
( spl69_52
<=> ssItem(sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).
fof(f6442,plain,
( ~ spl69_52
| spl69_53
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50 ),
inference(avatar_split_clause,[],[f6430,f6290,f5845,f2174,f1574,f647,f6439,f6435]) ).
fof(f6439,plain,
( spl69_53
<=> memberP(sK19,sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).
fof(f6430,plain,
( memberP(sK19,sK26(sK19))
| ~ ssItem(sK26(sK19))
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50 ),
inference(subsumption_resolution,[],[f6420,f396]) ).
fof(f6420,plain,
( memberP(sK19,sK26(sK19))
| ~ ssList(nil)
| ~ ssItem(sK26(sK19))
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50 ),
inference(superposition,[],[f636,f6387]) ).
fof(f6387,plain,
( sK19 = cons(sK26(sK19),nil)
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50 ),
inference(subsumption_resolution,[],[f6383,f375]) ).
fof(f6383,plain,
( sK19 = cons(sK26(sK19),nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_8
| ~ spl69_16
| ~ spl69_48
| ~ spl69_50 ),
inference(resolution,[],[f6350,f471]) ).
fof(f471,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK26(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f636,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f607]) ).
fof(f607,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f428]) ).
fof(f428,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f261,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,[],[f260]) ).
fof(f260,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(f6297,plain,
( spl69_50
| spl69_51
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(avatar_split_clause,[],[f5705,f2174,f1574,f647,f6294,f6290]) ).
fof(f6294,plain,
( spl69_51
<=> hd(tl(sK19)) = sK24(tl(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).
fof(f5705,plain,
( hd(tl(sK19)) = sK24(tl(sK19))
| nil = tl(sK19)
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(forward_demodulation,[],[f5704,f2458]) ).
fof(f2458,plain,
( tl(sK19) = sK22(sK19)
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(forward_demodulation,[],[f2437,f2163]) ).
fof(f2437,plain,
( sK22(sK19) = tl(cons(sK23(sK19),sK22(sK19)))
| ~ spl69_8
| ~ spl69_16 ),
inference(resolution,[],[f2192,f1575]) ).
fof(f2192,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(sK19) = tl(cons(X0,sK22(sK19))) )
| ~ spl69_16 ),
inference(resolution,[],[f2175,f561]) ).
fof(f561,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(f5704,plain,
( nil = tl(sK19)
| hd(sK22(sK19)) = sK24(sK22(sK19))
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(forward_demodulation,[],[f2190,f2458]) ).
fof(f2190,plain,
( nil = sK22(sK19)
| hd(sK22(sK19)) = sK24(sK22(sK19))
| ~ spl69_16 ),
inference(resolution,[],[f2175,f467]) ).
fof(f467,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK24(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f278,plain,
! [X0] :
( ( hd(X0) = sK24(X0)
& ssItem(sK24(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK24])],[f157,f277]) ).
fof(f277,plain,
! [X0] :
( ? [X1] :
( hd(X0) = X1
& ssItem(X1) )
=> ( hd(X0) = sK24(X0)
& ssItem(sK24(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(f5856,plain,
( spl69_1
| ~ spl69_8
| ~ spl69_16
| spl69_48 ),
inference(avatar_contradiction_clause,[],[f5855]) ).
fof(f5855,plain,
( $false
| spl69_1
| ~ spl69_8
| ~ spl69_16
| spl69_48 ),
inference(subsumption_resolution,[],[f5854,f396]) ).
fof(f5854,plain,
( ~ ssList(nil)
| spl69_1
| ~ spl69_8
| ~ spl69_16
| spl69_48 ),
inference(subsumption_resolution,[],[f5853,f2232]) ).
fof(f5853,plain,
( ~ ssItem(hd(sK19))
| ~ ssList(nil)
| spl69_48 ),
inference(resolution,[],[f5847,f558]) ).
fof(f558,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(f5847,plain,
( ~ ssList(cons(hd(sK19),nil))
| spl69_48 ),
inference(avatar_component_clause,[],[f5845]) ).
fof(f5852,plain,
( ~ spl69_48
| spl69_49
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(avatar_split_clause,[],[f5831,f2174,f1574,f647,f5849,f5845]) ).
fof(f5849,plain,
( spl69_49
<=> ssList(cons(hd(sK19),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).
fof(f5831,plain,
( ssList(cons(hd(sK19),sK18))
| ~ ssList(cons(hd(sK19),nil))
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(subsumption_resolution,[],[f5817,f374]) ).
fof(f5817,plain,
( ssList(cons(hd(sK19),sK18))
| ~ ssList(sK18)
| ~ ssList(cons(hd(sK19),nil))
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(superposition,[],[f568,f2631]) ).
fof(f2631,plain,
( cons(hd(sK19),sK18) = app(cons(hd(sK19),nil),sK18)
| spl69_1
| ~ spl69_8
| ~ spl69_16 ),
inference(forward_demodulation,[],[f2611,f2231]) ).
fof(f2611,plain,
( cons(sK23(sK19),sK18) = app(cons(sK23(sK19),nil),sK18)
| ~ spl69_8 ),
inference(resolution,[],[f2050,f1575]) ).
fof(f2050,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK18) = app(cons(X0,nil),sK18) ),
inference(resolution,[],[f563,f374]) ).
fof(f563,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(f568,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(f5751,plain,
( ~ spl69_10
| spl69_46 ),
inference(avatar_contradiction_clause,[],[f5750]) ).
fof(f5750,plain,
( $false
| ~ spl69_10
| spl69_46 ),
inference(subsumption_resolution,[],[f5749,f396]) ).
fof(f5749,plain,
( ~ ssList(nil)
| ~ spl69_10
| spl69_46 ),
inference(subsumption_resolution,[],[f5748,f1659]) ).
fof(f1659,plain,
( ssItem(hd(sK18))
| ~ spl69_10 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1658,plain,
( spl69_10
<=> ssItem(hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).
fof(f5748,plain,
( ~ ssItem(hd(sK18))
| ~ ssList(nil)
| spl69_46 ),
inference(resolution,[],[f5742,f558]) ).
fof(f5742,plain,
( ~ ssList(cons(hd(sK18),nil))
| spl69_46 ),
inference(avatar_component_clause,[],[f5740]) ).
fof(f5740,plain,
( spl69_46
<=> ssList(cons(hd(sK18),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).
fof(f5747,plain,
( ~ spl69_46
| spl69_47
| ~ spl69_10 ),
inference(avatar_split_clause,[],[f5726,f1658,f5744,f5740]) ).
fof(f5744,plain,
( spl69_47
<=> ssList(cons(hd(sK18),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).
fof(f5726,plain,
( ssList(cons(hd(sK18),sK18))
| ~ ssList(cons(hd(sK18),nil))
| ~ spl69_10 ),
inference(subsumption_resolution,[],[f5712,f374]) ).
fof(f5712,plain,
( ssList(cons(hd(sK18),sK18))
| ~ ssList(sK18)
| ~ ssList(cons(hd(sK18),nil))
| ~ spl69_10 ),
inference(superposition,[],[f568,f2607]) ).
fof(f2607,plain,
( cons(hd(sK18),sK18) = app(cons(hd(sK18),nil),sK18)
| ~ spl69_10 ),
inference(resolution,[],[f2050,f1659]) ).
fof(f5700,plain,
( spl69_44
| spl69_45
| ~ spl69_14 ),
inference(avatar_split_clause,[],[f1903,f1887,f5697,f5693]) ).
fof(f5693,plain,
( spl69_44
<=> hd(tl(sK18)) = sK24(tl(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).
fof(f5697,plain,
( spl69_45
<=> nil = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).
fof(f1887,plain,
( spl69_14
<=> ssList(tl(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).
fof(f1903,plain,
( nil = tl(sK18)
| hd(tl(sK18)) = sK24(tl(sK18))
| ~ spl69_14 ),
inference(resolution,[],[f1888,f467]) ).
fof(f1888,plain,
( ssList(tl(sK18))
| ~ spl69_14 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f5490,plain,
spl69_42,
inference(avatar_contradiction_clause,[],[f5489]) ).
fof(f5489,plain,
( $false
| spl69_42 ),
inference(subsumption_resolution,[],[f5488,f396]) ).
fof(f5488,plain,
( ~ ssList(nil)
| spl69_42 ),
inference(subsumption_resolution,[],[f5487,f640]) ).
fof(f640,plain,
frontsegP(nil,nil),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f639,f382,f381,f380,f379,f378,f377,f376,f375,f374,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f414,f413,f416,f638,f418,f417,f421,f420,f637,f422,f423,f424,f425,f426,f429,f636,f427,f635,f431,f430,f434,f433,f439,f609,f437,f436,f440,f442,f441,f447,f611,f445,f444,f448,f451,f450,f449,f452,f453,f454,f455,f456,f457,f458,f459,f462,f461,f460,f463,f464,f465,f467,f466,f469,f468,f613,f471,f470,f473,f481,f480,f479,f478,f477,f476,f614,f482,f483,f492,f491,f490,f489,f488,f487,f486,f634,f493,f494,f504,f503,f502,f501,f500,f499,f498,f497,f617,f505,f506,f516,f515,f514,f513,f512,f511,f510,f509,f618,f517,f518,f528,f527,f526,f525,f524,f523,f522,f521,f619,f529,f531,f530,f539,f538,f537,f536,f535,f534,f533,f620,f540,f542,f541,f550,f549,f548,f547,f546,f545,f544,f621,f551,f622]) ).
fof(f622,plain,
( frontsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f553]) ).
fof(f553,plain,
! [X0] :
( frontsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,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(f551,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f249]) ).
fof(f249,plain,
! [X0] :
( sP17(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f174,f248,f247]) ).
fof(f247,plain,
! [X0] :
( sP16(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP16])]) ).
fof(f248,plain,
! [X0] :
( ( strictorderedP(X0)
<=> sP16(X0) )
| ~ sP17(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP17])]) ).
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(f621,plain,
! [X10,X8,X6,X9,X7] :
( lt(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,[],[f543]) ).
fof(f543,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f346,plain,
! [X0] :
( ( sP16(X0)
| ( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
& ssList(sK60(X0))
& ssList(sK59(X0))
& ssList(sK58(X0))
& ssItem(sK57(X0))
& ssItem(sK56(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK56,sK57,sK58,sK59,sK60])],[f340,f345,f344,f343,f342,f341]) ).
fof(f341,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(sK56(X0),X2)
& app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK56(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f342,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),X2)
& app(app(X3,cons(sK56(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK57(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f343,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(X3,cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK58(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f344,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),X4)),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
& ssList(X5) )
& ssList(sK59(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f345,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK56(X0),sK57(X0))
& app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0
& ssList(sK60(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f340,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP16(X0) ) ),
inference(rectify,[],[f339]) ).
fof(f339,plain,
! [X0] :
( ( sP16(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP16(X0) ) ),
inference(nnf_transformation,[],[f247]) ).
fof(f544,plain,
! [X0] :
( ssItem(sK56(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f545,plain,
! [X0] :
( ssItem(sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f546,plain,
! [X0] :
( ssList(sK58(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f547,plain,
! [X0] :
( ssList(sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f548,plain,
! [X0] :
( ssList(sK60(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f549,plain,
! [X0] :
( sP16(X0)
| app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ),
inference(cnf_transformation,[],[f346]) ).
fof(f550,plain,
! [X0] :
( ~ lt(sK56(X0),sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f541,plain,
! [X0] :
( ~ sP17(X0)
| ~ strictorderedP(X0)
| sP16(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f338,plain,
! [X0] :
( ( ( strictorderedP(X0)
| ~ sP16(X0) )
& ( sP16(X0)
| ~ strictorderedP(X0) ) )
| ~ sP17(X0) ),
inference(nnf_transformation,[],[f248]) ).
fof(f542,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f540,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f246]) ).
fof(f246,plain,
! [X0] :
( sP15(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f172,f245,f244]) ).
fof(f244,plain,
! [X0] :
( sP14(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP14])]) ).
fof(f245,plain,
! [X0] :
( ( totalorderedP(X0)
<=> sP14(X0) )
| ~ sP15(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP15])]) ).
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(f620,plain,
! [X10,X8,X6,X9,X7] :
( 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,[],[f532]) ).
fof(f532,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f337,plain,
! [X0] :
( ( sP14(X0)
| ( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
& ssList(sK55(X0))
& ssList(sK54(X0))
& ssList(sK53(X0))
& ssItem(sK52(X0))
& ssItem(sK51(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK51,sK52,sK53,sK54,sK55])],[f331,f336,f335,f334,f333,f332]) ).
fof(f332,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(sK51(X0),X2)
& app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK51(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f333,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),X2)
& app(app(X3,cons(sK51(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK52(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f334,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(X3,cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK53(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f335,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),X4)),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
& ssList(X5) )
& ssList(sK54(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f336,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK51(X0),sK52(X0))
& app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0
& ssList(sK55(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f331,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP14(X0) ) ),
inference(rectify,[],[f330]) ).
fof(f330,plain,
! [X0] :
( ( sP14(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP14(X0) ) ),
inference(nnf_transformation,[],[f244]) ).
fof(f533,plain,
! [X0] :
( ssItem(sK51(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f534,plain,
! [X0] :
( ssItem(sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f535,plain,
! [X0] :
( ssList(sK53(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f536,plain,
! [X0] :
( ssList(sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f537,plain,
! [X0] :
( ssList(sK55(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f538,plain,
! [X0] :
( sP14(X0)
| app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ),
inference(cnf_transformation,[],[f337]) ).
fof(f539,plain,
! [X0] :
( ~ leq(sK51(X0),sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f530,plain,
! [X0] :
( ~ sP15(X0)
| ~ totalorderedP(X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f329,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ~ sP14(X0) )
& ( sP14(X0)
| ~ totalorderedP(X0) ) )
| ~ sP15(X0) ),
inference(nnf_transformation,[],[f245]) ).
fof(f531,plain,
! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f529,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f243]) ).
fof(f243,plain,
! [X0] :
( sP13(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f170,f242,f241]) ).
fof(f241,plain,
! [X0] :
( sP12(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP12])]) ).
fof(f242,plain,
! [X0] :
( ( cyclefreeP(X0)
<=> sP12(X0) )
| ~ sP13(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP13])]) ).
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(f619,plain,
! [X10,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(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,[],[f520]) ).
fof(f520,plain,
! [X10,X0,X8,X6,X9,X7] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f328,plain,
! [X0] :
( ( sP12(X0)
| ( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
& ssList(sK50(X0))
& ssList(sK49(X0))
& ssList(sK48(X0))
& ssItem(sK47(X0))
& ssItem(sK46(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK46,sK47,sK48,sK49,sK50])],[f322,f327,f326,f325,f324,f323]) ).
fof(f323,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,sK46(X0))
& leq(sK46(X0),X2)
& app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK46(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f324,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,sK46(X0))
& leq(sK46(X0),X2)
& app(app(X3,cons(sK46(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK47(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f325,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(X3,cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK48(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f326,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),X4)),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
& ssList(X5) )
& ssList(sK49(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f327,plain,
! [X0] :
( ? [X5] :
( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),X5)) = X0
& ssList(X5) )
=> ( leq(sK47(X0),sK46(X0))
& leq(sK46(X0),sK47(X0))
& app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0
& ssList(sK50(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f322,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( ~ leq(X7,X6)
| ~ leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP12(X0) ) ),
inference(rectify,[],[f321]) ).
fof(f321,plain,
! [X0] :
( ( sP12(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( leq(X2,X1)
& leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( ~ leq(X2,X1)
| ~ leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP12(X0) ) ),
inference(nnf_transformation,[],[f241]) ).
fof(f521,plain,
! [X0] :
( ssItem(sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f522,plain,
! [X0] :
( ssItem(sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f523,plain,
! [X0] :
( ssList(sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f524,plain,
! [X0] :
( ssList(sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f525,plain,
! [X0] :
( ssList(sK50(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f526,plain,
! [X0] :
( sP12(X0)
| app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f527,plain,
! [X0] :
( leq(sK46(X0),sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f528,plain,
! [X0] :
( leq(sK47(X0),sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f518,plain,
! [X0] :
( ~ sP13(X0)
| ~ cyclefreeP(X0)
| sP12(X0) ),
inference(cnf_transformation,[],[f320]) ).
fof(f320,plain,
! [X0] :
( ( ( cyclefreeP(X0)
| ~ sP12(X0) )
& ( sP12(X0)
| ~ cyclefreeP(X0) ) )
| ~ sP13(X0) ),
inference(nnf_transformation,[],[f242]) ).
fof(f517,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f240]) ).
fof(f240,plain,
! [X0] :
( sP11(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f168,f239,f238]) ).
fof(f238,plain,
! [X0] :
( sP10(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP10])]) ).
fof(f239,plain,
! [X0] :
( ( strictorderP(X0)
<=> sP10(X0) )
| ~ sP11(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP11])]) ).
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(f618,plain,
! [X10,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(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,[],[f508]) ).
fof(f508,plain,
! [X10,X0,X8,X6,X9,X7] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f319,plain,
! [X0] :
( ( sP10(X0)
| ( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0))
& ssList(sK44(X0))
& ssList(sK43(X0))
& ssItem(sK42(X0))
& ssItem(sK41(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK41,sK42,sK43,sK44,sK45])],[f313,f318,f317,f316,f315,f314]) ).
fof(f314,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,sK41(X0))
& ~ lt(sK41(X0),X2)
& app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f315,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,sK41(X0))
& ~ lt(sK41(X0),X2)
& app(app(X3,cons(sK41(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f316,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(X3,cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK43(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f317,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),X4)),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
& ssList(X5) )
& ssList(sK44(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f318,plain,
! [X0] :
( ? [X5] :
( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),X5)) = X0
& ssList(X5) )
=> ( ~ lt(sK42(X0),sK41(X0))
& ~ lt(sK41(X0),sK42(X0))
& app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0
& ssList(sK45(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f313,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( lt(X7,X6)
| lt(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP10(X0) ) ),
inference(rectify,[],[f312]) ).
fof(f312,plain,
! [X0] :
( ( sP10(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ lt(X2,X1)
& ~ lt(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( lt(X2,X1)
| lt(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP10(X0) ) ),
inference(nnf_transformation,[],[f238]) ).
fof(f509,plain,
! [X0] :
( ssItem(sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f510,plain,
! [X0] :
( ssItem(sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f511,plain,
! [X0] :
( ssList(sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f512,plain,
! [X0] :
( ssList(sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f513,plain,
! [X0] :
( ssList(sK45(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f514,plain,
! [X0] :
( sP10(X0)
| app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ),
inference(cnf_transformation,[],[f319]) ).
fof(f515,plain,
! [X0] :
( ~ lt(sK41(X0),sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f516,plain,
! [X0] :
( ~ lt(sK42(X0),sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f506,plain,
! [X0] :
( ~ sP11(X0)
| ~ strictorderP(X0)
| sP10(X0) ),
inference(cnf_transformation,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ( ( strictorderP(X0)
| ~ sP10(X0) )
& ( sP10(X0)
| ~ strictorderP(X0) ) )
| ~ sP11(X0) ),
inference(nnf_transformation,[],[f239]) ).
fof(f505,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( sP9(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f166,f236,f235]) ).
fof(f235,plain,
! [X0] :
( sP8(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f236,plain,
! [X0] :
( ( totalorderP(X0)
<=> sP8(X0) )
| ~ sP9(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP9])]) ).
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(f617,plain,
! [X10,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(app(app(X8,cons(X6,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f496]) ).
fof(f496,plain,
! [X10,X0,X8,X6,X9,X7] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f310,plain,
! [X0] :
( ( sP8(X0)
| ( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
& ssList(sK40(X0))
& ssList(sK39(X0))
& ssList(sK38(X0))
& ssItem(sK37(X0))
& ssItem(sK36(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK36,sK37,sK38,sK39,sK40])],[f304,f309,f308,f307,f306,f305]) ).
fof(f305,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,sK36(X0))
& ~ leq(sK36(X0),X2)
& app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK36(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,sK36(X0))
& ~ leq(sK36(X0),X2)
& app(app(X3,cons(sK36(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK37(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f307,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(X3,cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f308,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),X4)),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
& ssList(X5) )
& ssList(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f309,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK37(X0),sK36(X0))
& ~ leq(sK36(X0),sK37(X0))
& app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( leq(X7,X6)
| leq(X6,X7)
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP8(X0) ) ),
inference(rectify,[],[f303]) ).
fof(f303,plain,
! [X0] :
( ( sP8(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(X2,X1)
& ~ leq(X1,X2)
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( leq(X2,X1)
| leq(X1,X2)
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP8(X0) ) ),
inference(nnf_transformation,[],[f235]) ).
fof(f497,plain,
! [X0] :
( ssItem(sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f498,plain,
! [X0] :
( ssItem(sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0] :
( ssList(sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f500,plain,
! [X0] :
( ssList(sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f501,plain,
! [X0] :
( ssList(sK40(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f502,plain,
! [X0] :
( sP8(X0)
| app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f503,plain,
! [X0] :
( ~ leq(sK36(X0),sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f504,plain,
! [X0] :
( ~ leq(sK37(X0),sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f494,plain,
! [X0] :
( ~ sP9(X0)
| ~ totalorderP(X0)
| sP8(X0) ),
inference(cnf_transformation,[],[f302]) ).
fof(f302,plain,
! [X0] :
( ( ( totalorderP(X0)
| ~ sP8(X0) )
& ( sP8(X0)
| ~ totalorderP(X0) ) )
| ~ sP9(X0) ),
inference(nnf_transformation,[],[f236]) ).
fof(f493,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f234]) ).
fof(f234,plain,
! [X0] :
( sP7(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f164,f233,f232]) ).
fof(f232,plain,
! [X0] :
( sP6(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f233,plain,
! [X0] :
( ( duplicatefreeP(X0)
<=> sP6(X0) )
| ~ sP7(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
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(f634,plain,
! [X10,X8,X9,X7] :
( ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10)))
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssList(X10) ),
inference(duplicate_literal_removal,[],[f616]) ).
fof(f616,plain,
! [X10,X8,X9,X7] :
( ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(app(app(X8,cons(X7,X9)),cons(X7,X10))) ),
inference(equality_resolution,[],[f615]) ).
fof(f615,plain,
! [X10,X0,X8,X9,X7] :
( app(app(X8,cons(X7,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X7)
| ~ sP6(X0) ),
inference(equality_resolution,[],[f485]) ).
fof(f485,plain,
! [X10,X0,X8,X6,X9,X7] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10)
| ~ ssList(X9)
| ~ ssList(X8)
| ~ ssItem(X7)
| ~ ssItem(X6)
| ~ sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f301,plain,
! [X0] :
( ( sP6(X0)
| ( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
& ssList(sK35(X0))
& ssList(sK34(X0))
& ssList(sK33(X0))
& ssItem(sK32(X0))
& ssItem(sK31(X0)) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK31,sK32,sK33,sK34,sK35])],[f295,f300,f299,f298,f297,f296]) ).
fof(f296,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] :
( sK31(X0) = X2
& app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK31(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f297,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = X2
& app(app(X3,cons(sK31(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK32(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f298,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(X3,cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK33(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f299,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),X4)),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
& ssList(X5) )
& ssList(sK34(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f300,plain,
! [X0] :
( ? [X5] :
( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),X5)) = X0
& ssList(X5) )
=> ( sK31(X0) = sK32(X0)
& app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0
& ssList(sK35(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f295,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X6] :
( ! [X7] :
( ! [X8] :
( ! [X9] :
( ! [X10] :
( X6 != X7
| app(app(X8,cons(X6,X9)),cons(X7,X10)) != X0
| ~ ssList(X10) )
| ~ ssList(X9) )
| ~ ssList(X8) )
| ~ ssItem(X7) )
| ~ ssItem(X6) )
| ~ sP6(X0) ) ),
inference(rectify,[],[f294]) ).
fof(f294,plain,
! [X0] :
( ( sP6(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( X1 = X2
& app(app(X3,cons(X1,X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( ! [X5] :
( X1 != X2
| app(app(X3,cons(X1,X4)),cons(X2,X5)) != X0
| ~ ssList(X5) )
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP6(X0) ) ),
inference(nnf_transformation,[],[f232]) ).
fof(f486,plain,
! [X0] :
( ssItem(sK31(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f487,plain,
! [X0] :
( ssItem(sK32(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0] :
( ssList(sK33(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f489,plain,
! [X0] :
( ssList(sK34(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f490,plain,
! [X0] :
( ssList(sK35(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f491,plain,
! [X0] :
( sP6(X0)
| app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f492,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = sK32(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f483,plain,
! [X0] :
( ~ sP7(X0)
| ~ duplicatefreeP(X0)
| sP6(X0) ),
inference(cnf_transformation,[],[f293]) ).
fof(f293,plain,
! [X0] :
( ( ( duplicatefreeP(X0)
| ~ sP6(X0) )
& ( sP6(X0)
| ~ duplicatefreeP(X0) ) )
| ~ sP7(X0) ),
inference(nnf_transformation,[],[f233]) ).
fof(f482,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,plain,
! [X0] :
( sP5(X0)
| ~ ssList(X0) ),
inference(definition_folding,[],[f162,f230,f229]) ).
fof(f229,plain,
! [X0] :
( sP4(X0)
<=> ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f230,plain,
! [X0] :
( ( equalelemsP(X0)
<=> sP4(X0) )
| ~ sP5(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
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(f614,plain,
! [X8,X6,X7,X5] :
( ~ sP4(app(X7,cons(X5,cons(X6,X8))))
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| X5 = X6 ),
inference(equality_resolution,[],[f475]) ).
fof(f475,plain,
! [X0,X8,X6,X7,X5] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8)
| ~ ssList(X7)
| ~ ssItem(X6)
| ~ ssItem(X5)
| ~ sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f292,plain,
! [X0] :
( ( sP4(X0)
| ( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
& ssList(sK30(X0))
& ssList(sK29(X0))
& ssItem(sK28(X0))
& ssItem(sK27(X0)) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK27,sK28,sK29,sK30])],[f287,f291,f290,f289,f288]) ).
fof(f288,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] :
( sK27(X0) != X2
& app(X3,cons(sK27(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK27(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f289,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( sK27(X0) != X2
& app(X3,cons(sK27(X0),cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( sK27(X0) != sK28(X0)
& app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(sK28(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f290,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( sK27(X0) != sK28(X0)
& app(X3,cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
& ssList(sK29(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f291,plain,
! [X0] :
( ? [X4] :
( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),X4))) = X0
& ssList(X4) )
=> ( sK27(X0) != sK28(X0)
& app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0
& ssList(sK30(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f287,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X5] :
( ! [X6] :
( ! [X7] :
( ! [X8] :
( X5 = X6
| app(X7,cons(X5,cons(X6,X8))) != X0
| ~ ssList(X8) )
| ~ ssList(X7) )
| ~ ssItem(X6) )
| ~ ssItem(X5) )
| ~ sP4(X0) ) ),
inference(rectify,[],[f286]) ).
fof(f286,plain,
! [X0] :
( ( sP4(X0)
| ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( X1 != X2
& app(X3,cons(X1,cons(X2,X4))) = X0
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(X1) ) )
& ( ! [X1] :
( ! [X2] :
( ! [X3] :
( ! [X4] :
( X1 = X2
| app(X3,cons(X1,cons(X2,X4))) != X0
| ~ ssList(X4) )
| ~ ssList(X3) )
| ~ ssItem(X2) )
| ~ ssItem(X1) )
| ~ sP4(X0) ) ),
inference(nnf_transformation,[],[f229]) ).
fof(f476,plain,
! [X0] :
( ssItem(sK27(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f477,plain,
! [X0] :
( ssItem(sK28(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f478,plain,
! [X0] :
( ssList(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f479,plain,
! [X0] :
( ssList(sK30(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f480,plain,
! [X0] :
( sP4(X0)
| app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
inference(cnf_transformation,[],[f292]) ).
fof(f481,plain,
! [X0] :
( sK27(X0) != sK28(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f473,plain,
! [X0] :
( ~ sP5(X0)
| ~ equalelemsP(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f285]) ).
fof(f285,plain,
! [X0] :
( ( ( equalelemsP(X0)
| ~ sP4(X0) )
& ( sP4(X0)
| ~ equalelemsP(X0) ) )
| ~ sP5(X0) ),
inference(nnf_transformation,[],[f230]) ).
fof(f468,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( tl(X0) = sK25(X0)
& ssList(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f159,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK25(X0)
& ssList(sK25(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(f469,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK25(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f466,plain,
! [X0] :
( ssItem(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f464,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(f463,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(f460,plain,
! [X0] :
( ssList(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f461,plain,
! [X0] :
( ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f459,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(f457,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,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(f456,plain,
! [X0] :
( rearsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f144]) ).
fof(f144,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(f455,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(f454,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(f453,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,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(f452,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,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(f449,plain,
! [X2,X0,X1] :
( ~ memberP(app(X1,X2),X0)
| memberP(X1,X0)
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f273,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,[],[f272]) ).
fof(f272,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(f450,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f451,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f448,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,[],[f138,f227,f226]) ).
fof(f226,plain,
! [X1,X0] :
( sP2(X1,X0)
<=> ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP2])]) ).
fof(f227,plain,
! [X0,X1] :
( ( strictorderedP(cons(X0,X1))
<=> sP2(X1,X0) )
| ~ sP3(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
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(f444,plain,
! [X0,X1] :
( ~ sP2(X0,X1)
| nil = X0
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f271]) ).
fof(f271,plain,
! [X0,X1] :
( ( sP2(X0,X1)
| ( ( ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( lt(X1,hd(X0))
& strictorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP2(X0,X1) ) ),
inference(rectify,[],[f270]) ).
fof(f270,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(flattening,[],[f269]) ).
fof(f269,plain,
! [X1,X0] :
( ( sP2(X1,X0)
| ( ( ~ lt(X0,hd(X1))
| ~ strictorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( lt(X0,hd(X1))
& strictorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP2(X1,X0) ) ),
inference(nnf_transformation,[],[f226]) ).
fof(f445,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f611,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f446]) ).
fof(f446,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f447,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP2(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f441,plain,
! [X0,X1] :
( ~ strictorderedP(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f268,plain,
! [X0,X1] :
( ( ( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0) )
& ( sP2(X1,X0)
| ~ strictorderedP(cons(X0,X1)) ) )
| ~ sP3(X0,X1) ),
inference(nnf_transformation,[],[f227]) ).
fof(f442,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f440,plain,
! [X0,X1] :
( sP1(X0,X1)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f225]) ).
fof(f225,plain,
! [X0] :
( ! [X1] :
( sP1(X0,X1)
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(definition_folding,[],[f137,f224,f223]) ).
fof(f223,plain,
! [X1,X0] :
( sP0(X1,X0)
<=> ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1 ) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP0])]) ).
fof(f224,plain,
! [X0,X1] :
( ( totalorderedP(cons(X0,X1))
<=> sP0(X1,X0) )
| ~ sP1(X0,X1) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP1])]) ).
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(f436,plain,
! [X0,X1] :
( ~ sP0(X0,X1)
| nil = X0
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f267]) ).
fof(f267,plain,
! [X0,X1] :
( ( sP0(X0,X1)
| ( ( ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = X0 )
& nil != X0 ) )
& ( ( leq(X1,hd(X0))
& totalorderedP(X0)
& nil != X0 )
| nil = X0
| ~ sP0(X0,X1) ) ),
inference(rectify,[],[f266]) ).
fof(f266,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(flattening,[],[f265]) ).
fof(f265,plain,
! [X1,X0] :
( ( sP0(X1,X0)
| ( ( ~ leq(X0,hd(X1))
| ~ totalorderedP(X1)
| nil = X1 )
& nil != X1 ) )
& ( ( leq(X0,hd(X1))
& totalorderedP(X1)
& nil != X1 )
| nil = X1
| ~ sP0(X1,X0) ) ),
inference(nnf_transformation,[],[f223]) ).
fof(f437,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f609,plain,
! [X1] : sP0(nil,X1),
inference(equality_resolution,[],[f438]) ).
fof(f438,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f439,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP0(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f433,plain,
! [X0,X1] :
( ~ totalorderedP(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f264,plain,
! [X0,X1] :
( ( ( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0) )
& ( sP0(X1,X0)
| ~ totalorderedP(cons(X0,X1)) ) )
| ~ sP1(X0,X1) ),
inference(nnf_transformation,[],[f224]) ).
fof(f434,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f430,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| X0 = X1
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f263,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,[],[f262]) ).
fof(f262,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(f431,plain,
! [X2,X3,X0,X1] :
( ~ frontsegP(cons(X0,X2),cons(X1,X3))
| frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f263]) ).
fof(f635,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f608]) ).
fof(f608,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,[],[f432]) ).
fof(f432,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,[],[f263]) ).
fof(f427,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f429,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f426,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,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(f425,plain,
! [X2,X0,X1] :
( ~ lt(X1,X2)
| lt(X0,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(f424,plain,
! [X2,X0,X1] :
( ~ leq(X1,X2)
| leq(X0,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(f423,plain,
! [X2,X0,X1] :
( ~ geq(X1,X2)
| geq(X0,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(f422,plain,
! [X2,X0,X1] :
( ~ gt(X1,X2)
| gt(X0,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(f637,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f606,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f419]) ).
fof(f419,plain,
! [X0,X1] :
( X0 != X1
| ~ lt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f259,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,[],[f258]) ).
fof(f258,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(f420,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f421,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f417,plain,
! [X0,X1] :
( ~ geq(X0,X1)
| leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f257,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(f418,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f638,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f605]) ).
fof(f605,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f415]) ).
fof(f415,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,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(f416,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f413,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,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(f414,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f412,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(f411,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(f410,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(f409,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(f408,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(f407,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(f406,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(f405,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f404,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,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(f403,plain,
! [X0] :
( cyclefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f106]) ).
fof(f106,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(f402,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f401,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,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(f400,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(f399,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(f398,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(f397,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(f395,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f394,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f393,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f392,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f391,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f390,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f389,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f388,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f380,plain,
( neq(sK19,nil)
| nil = sK19 ),
inference(cnf_transformation,[],[f254]) ).
fof(f381,plain,
( neq(sK19,nil)
| nil != sK18 ),
inference(cnf_transformation,[],[f254]) ).
fof(f639,plain,
( ~ segmentP(sK19,nil)
| ~ neq(nil,nil)
| nil != sK18 ),
inference(inner_rewriting,[],[f383]) ).
fof(f383,plain,
( ~ segmentP(sK19,sK18)
| ~ neq(sK18,nil)
| nil != sK18 ),
inference(cnf_transformation,[],[f254]) ).
fof(f385,plain,
( neq(sK20,nil)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f387,plain,
( rearsegP(sK21,sK20)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f5487,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| spl69_42 ),
inference(duplicate_literal_removal,[],[f5486]) ).
fof(f5486,plain,
( ~ frontsegP(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil)
| spl69_42 ),
inference(resolution,[],[f5480,f577]) ).
fof(f577,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK63(X0,X1)) = X0
& ssList(sK63(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f357,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK63(X0,X1)) = X0
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,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,[],[f356]) ).
fof(f356,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,[],[f199]) ).
fof(f199,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(f5480,plain,
( ~ ssList(sK63(nil,nil))
| spl69_42 ),
inference(avatar_component_clause,[],[f5478]) ).
fof(f5478,plain,
( spl69_42
<=> ssList(sK63(nil,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).
fof(f5485,plain,
( ~ spl69_42
| spl69_43
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| ~ spl69_28 ),
inference(avatar_split_clause,[],[f5421,f3470,f3412,f3408,f3101,f647,f5482,f5478]) ).
fof(f5482,plain,
( spl69_43
<=> nil = sK63(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).
fof(f3408,plain,
( spl69_26
<=> ssList(sK63(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).
fof(f3412,plain,
( spl69_27
<=> rearsegP(sK19,sK63(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).
fof(f3470,plain,
( spl69_28
<=> ssList(sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).
fof(f5421,plain,
( nil = sK63(nil,nil)
| ~ ssList(sK63(nil,nil))
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| ~ spl69_28 ),
inference(trivial_inequality_removal,[],[f5417]) ).
fof(f5417,plain,
( nil != nil
| nil = sK63(nil,nil)
| ~ ssList(sK63(nil,nil))
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| ~ spl69_28 ),
inference(superposition,[],[f4731,f2946]) ).
fof(f2946,plain,
nil = app(nil,sK63(nil,nil)),
inference(subsumption_resolution,[],[f2945,f396]) ).
fof(f2945,plain,
( nil = app(nil,sK63(nil,nil))
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f2938]) ).
fof(f2938,plain,
( nil = app(nil,sK63(nil,nil))
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(resolution,[],[f578,f640]) ).
fof(f578,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK63(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f4731,plain,
( ! [X0] :
( nil != app(nil,X0)
| nil = X0
| ~ ssList(X0) )
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| ~ spl69_28 ),
inference(forward_demodulation,[],[f4730,f4581]) ).
fof(f4581,plain,
( nil = sK66(sK19,sK19)
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| ~ spl69_28 ),
inference(subsumption_resolution,[],[f4580,f3471]) ).
fof(f3471,plain,
( ssList(sK66(sK19,sK19))
| ~ spl69_28 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f4580,plain,
( nil = sK66(sK19,sK19)
| ~ ssList(sK66(sK19,sK19))
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(trivial_inequality_removal,[],[f4577]) ).
fof(f4577,plain,
( sK19 != sK19
| nil = sK66(sK19,sK19)
| ~ ssList(sK66(sK19,sK19))
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(superposition,[],[f4442,f3455]) ).
fof(f3455,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3454,f375]) ).
fof(f3454,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(duplicate_literal_removal,[],[f3451]) ).
fof(f3451,plain,
( sK19 = app(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(resolution,[],[f3447,f585]) ).
fof(f3447,plain,
( rearsegP(sK19,sK19)
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(superposition,[],[f3414,f3437]) ).
fof(f3437,plain,
( sK19 = sK63(sK19,nil)
| spl69_1
| ~ spl69_24
| ~ spl69_26 ),
inference(forward_demodulation,[],[f3422,f3296]) ).
fof(f3296,plain,
( sK19 = app(nil,sK63(sK19,nil))
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f3295,f375]) ).
fof(f3295,plain,
( sK19 = app(nil,sK63(sK19,nil))
| ~ ssList(sK19)
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f3293,f396]) ).
fof(f3293,plain,
( sK19 = app(nil,sK63(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_24 ),
inference(resolution,[],[f3292,f578]) ).
fof(f3292,plain,
( frontsegP(sK19,nil)
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f3291,f3102]) ).
fof(f3291,plain,
( frontsegP(sK19,nil)
| ~ ssList(sK66(sK19,sK18))
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f3289,f396]) ).
fof(f3289,plain,
( frontsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK66(sK19,sK18))
| spl69_1
| ~ spl69_24 ),
inference(resolution,[],[f3243,f453]) ).
fof(f3243,plain,
( ! [X0] :
( ~ frontsegP(sK66(sK19,sK18),X0)
| frontsegP(sK19,X0)
| ~ ssList(X0) )
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f3242,f3102]) ).
fof(f3242,plain,
( ! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(sK66(sK19,sK18),X0)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18)) )
| spl69_1 ),
inference(subsumption_resolution,[],[f3212,f374]) ).
fof(f3212,plain,
( ! [X0] :
( frontsegP(sK19,X0)
| ~ frontsegP(sK66(sK19,sK18),X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18)) )
| spl69_1 ),
inference(superposition,[],[f594,f3079]) ).
fof(f594,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(f3422,plain,
( sK63(sK19,nil) = app(nil,sK63(sK19,nil))
| ~ spl69_26 ),
inference(resolution,[],[f3409,f459]) ).
fof(f3409,plain,
( ssList(sK63(sK19,nil))
| ~ spl69_26 ),
inference(avatar_component_clause,[],[f3408]) ).
fof(f3414,plain,
( rearsegP(sK19,sK63(sK19,nil))
| ~ spl69_27 ),
inference(avatar_component_clause,[],[f3412]) ).
fof(f4442,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4441,f375]) ).
fof(f4441,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(subsumption_resolution,[],[f4332,f396]) ).
fof(f4332,plain,
! [X0] :
( sK19 != app(X0,sK19)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK19)
| ~ ssList(X0) ),
inference(superposition,[],[f596,f725]) ).
fof(f725,plain,
sK19 = app(nil,sK19),
inference(resolution,[],[f459,f375]) ).
fof(f596,plain,
! [X2,X0,X1] :
( app(X2,X1) != app(X0,X1)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f212]) ).
fof(f212,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X2,X1) != app(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f211]) ).
fof(f211,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(f4730,plain,
( ! [X0] :
( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
| nil = X0
| ~ ssList(X0) )
| ~ spl69_28 ),
inference(subsumption_resolution,[],[f4729,f3471]) ).
fof(f4729,plain,
( ! [X0] :
( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
| nil = X0
| ~ ssList(sK66(sK19,sK19))
| ~ ssList(X0) )
| ~ spl69_28 ),
inference(subsumption_resolution,[],[f4629,f396]) ).
fof(f4629,plain,
( ! [X0] :
( sK66(sK19,sK19) != app(sK66(sK19,sK19),X0)
| nil = X0
| ~ ssList(nil)
| ~ ssList(sK66(sK19,sK19))
| ~ ssList(X0) )
| ~ spl69_28 ),
inference(superposition,[],[f597,f3483]) ).
fof(f3483,plain,
( sK66(sK19,sK19) = app(sK66(sK19,sK19),nil)
| ~ spl69_28 ),
inference(resolution,[],[f3471,f458]) ).
fof(f597,plain,
! [X2,X0,X1] :
( app(X1,X2) != app(X1,X0)
| X0 = X2
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f214]) ).
fof(f214,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( X0 = X2
| app(X1,X2) != app(X1,X0)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f213]) ).
fof(f213,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(f4898,plain,
( spl69_40
| ~ spl69_41
| ~ spl69_22 ),
inference(avatar_split_clause,[],[f4583,f2736,f4895,f4891]) ).
fof(f4891,plain,
( spl69_40
<=> nil = cons(sK68,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).
fof(f4895,plain,
( spl69_41
<=> sK19 = cons(sK68,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).
fof(f2736,plain,
( spl69_22
<=> ssList(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).
fof(f4583,plain,
( sK19 != cons(sK68,sK19)
| nil = cons(sK68,nil)
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f4579,f2737]) ).
fof(f2737,plain,
( ssList(cons(sK68,nil))
| ~ spl69_22 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f4579,plain,
( sK19 != cons(sK68,sK19)
| nil = cons(sK68,nil)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f4442,f3903]) ).
fof(f3903,plain,
cons(sK68,sK19) = app(cons(sK68,nil),sK19),
inference(resolution,[],[f2051,f603]) ).
fof(f603,plain,
ssItem(sK68),
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
( sK67 != sK68
& ssItem(sK68)
& ssItem(sK67) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f2,f372,f371]) ).
fof(f371,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK67 != X1
& ssItem(X1) )
& ssItem(sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
( ? [X1] :
( sK67 != X1
& ssItem(X1) )
=> ( sK67 != sK68
& ssItem(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f2051,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK19) = app(cons(X0,nil),sK19) ),
inference(resolution,[],[f563,f375]) ).
fof(f4608,plain,
( spl69_38
| ~ spl69_39
| ~ spl69_20 ),
inference(avatar_split_clause,[],[f4582,f2644,f4605,f4601]) ).
fof(f4601,plain,
( spl69_38
<=> nil = cons(sK67,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).
fof(f4605,plain,
( spl69_39
<=> sK19 = cons(sK67,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).
fof(f2644,plain,
( spl69_20
<=> ssList(cons(sK67,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).
fof(f4582,plain,
( sK19 != cons(sK67,sK19)
| nil = cons(sK67,nil)
| ~ spl69_20 ),
inference(subsumption_resolution,[],[f4578,f2645]) ).
fof(f2645,plain,
( ssList(cons(sK67,nil))
| ~ spl69_20 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f4578,plain,
( sK19 != cons(sK67,sK19)
| nil = cons(sK67,nil)
| ~ ssList(cons(sK67,nil)) ),
inference(superposition,[],[f4442,f3902]) ).
fof(f3902,plain,
cons(sK67,sK19) = app(cons(sK67,nil),sK19),
inference(resolution,[],[f2051,f602]) ).
fof(f602,plain,
ssItem(sK67),
inference(cnf_transformation,[],[f373]) ).
fof(f3784,plain,
( ~ spl69_36
| spl69_37
| ~ spl69_28
| ~ spl69_29 ),
inference(avatar_split_clause,[],[f3504,f3474,f3470,f3781,f3777]) ).
fof(f3777,plain,
( spl69_36
<=> frontsegP(sK66(sK19,sK19),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).
fof(f3781,plain,
( spl69_37
<=> sK19 = sK66(sK19,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).
fof(f3474,plain,
( spl69_29
<=> frontsegP(sK19,sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).
fof(f3504,plain,
( sK19 = sK66(sK19,sK19)
| ~ frontsegP(sK66(sK19,sK19),sK19)
| ~ spl69_28
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3503,f3471]) ).
fof(f3503,plain,
( sK19 = sK66(sK19,sK19)
| ~ frontsegP(sK66(sK19,sK19),sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3500,f375]) ).
fof(f3500,plain,
( sK19 = sK66(sK19,sK19)
| ~ frontsegP(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_29 ),
inference(resolution,[],[f3476,f572]) ).
fof(f572,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,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(f3476,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ spl69_29 ),
inference(avatar_component_clause,[],[f3474]) ).
fof(f3616,plain,
( ~ spl69_34
| spl69_35
| ~ spl69_22
| ~ spl69_23 ),
inference(avatar_split_clause,[],[f2825,f2740,f2736,f3613,f3609]) ).
fof(f3609,plain,
( spl69_34
<=> rearsegP(sK18,cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).
fof(f3613,plain,
( spl69_35
<=> sK18 = cons(sK68,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).
fof(f2740,plain,
( spl69_23
<=> ssList(cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).
fof(f2825,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ spl69_22
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2824,f374]) ).
fof(f2824,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl69_22
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2823,f2742]) ).
fof(f2742,plain,
( ssList(cons(sK68,sK18))
| ~ spl69_23 ),
inference(avatar_component_clause,[],[f2740]) ).
fof(f2823,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl69_22 ),
inference(resolution,[],[f2822,f574]) ).
fof(f574,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(f2822,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f2729,f2737]) ).
fof(f2729,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f2723,f374]) ).
fof(f2723,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2405,f2629]) ).
fof(f2629,plain,
cons(sK68,sK18) = app(cons(sK68,nil),sK18),
inference(resolution,[],[f2050,f603]) ).
fof(f2405,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f629,f568]) ).
fof(f629,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f586]) ).
fof(f586,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f3596,plain,
( ~ spl69_32
| spl69_33
| ~ spl69_20
| ~ spl69_21 ),
inference(avatar_split_clause,[],[f2820,f2648,f2644,f3593,f3589]) ).
fof(f3589,plain,
( spl69_32
<=> rearsegP(sK18,cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).
fof(f3593,plain,
( spl69_33
<=> sK18 = cons(sK67,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).
fof(f2648,plain,
( spl69_21
<=> ssList(cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).
fof(f2820,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ spl69_20
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2819,f374]) ).
fof(f2819,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ ssList(sK18)
| ~ spl69_20
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2818,f2650]) ).
fof(f2650,plain,
( ssList(cons(sK67,sK18))
| ~ spl69_21 ),
inference(avatar_component_clause,[],[f2648]) ).
fof(f2818,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ ssList(cons(sK67,sK18))
| ~ ssList(sK18)
| ~ spl69_20 ),
inference(resolution,[],[f2797,f574]) ).
fof(f2797,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ spl69_20 ),
inference(subsumption_resolution,[],[f2637,f2645]) ).
fof(f2637,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ ssList(cons(sK67,nil)) ),
inference(subsumption_resolution,[],[f2632,f374]) ).
fof(f2632,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ ssList(cons(sK67,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2405,f2628]) ).
fof(f2628,plain,
cons(sK67,sK18) = app(cons(sK67,nil),sK18),
inference(resolution,[],[f2050,f602]) ).
fof(f3539,plain,
( ~ spl69_30
| spl69_31
| ~ spl69_24
| ~ spl69_25 ),
inference(avatar_split_clause,[],[f3135,f3105,f3101,f3536,f3532]) ).
fof(f3532,plain,
( spl69_30
<=> frontsegP(sK66(sK19,sK18),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).
fof(f3536,plain,
( spl69_31
<=> sK19 = sK66(sK19,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).
fof(f3105,plain,
( spl69_25
<=> frontsegP(sK19,sK66(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).
fof(f3135,plain,
( sK19 = sK66(sK19,sK18)
| ~ frontsegP(sK66(sK19,sK18),sK19)
| ~ spl69_24
| ~ spl69_25 ),
inference(subsumption_resolution,[],[f3134,f3102]) ).
fof(f3134,plain,
( sK19 = sK66(sK19,sK18)
| ~ frontsegP(sK66(sK19,sK18),sK19)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_25 ),
inference(subsumption_resolution,[],[f3131,f375]) ).
fof(f3131,plain,
( sK19 = sK66(sK19,sK18)
| ~ frontsegP(sK66(sK19,sK18),sK19)
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_25 ),
inference(resolution,[],[f3107,f572]) ).
fof(f3107,plain,
( frontsegP(sK19,sK66(sK19,sK18))
| ~ spl69_25 ),
inference(avatar_component_clause,[],[f3105]) ).
fof(f3482,plain,
( spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| spl69_28 ),
inference(avatar_contradiction_clause,[],[f3481]) ).
fof(f3481,plain,
( $false
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| spl69_28 ),
inference(subsumption_resolution,[],[f3480,f375]) ).
fof(f3480,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27
| spl69_28 ),
inference(subsumption_resolution,[],[f3479,f3447]) ).
fof(f3479,plain,
( ~ rearsegP(sK19,sK19)
| ~ ssList(sK19)
| spl69_28 ),
inference(duplicate_literal_removal,[],[f3478]) ).
fof(f3478,plain,
( ~ rearsegP(sK19,sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl69_28 ),
inference(resolution,[],[f3472,f584]) ).
fof(f584,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f3472,plain,
( ~ ssList(sK66(sK19,sK19))
| spl69_28 ),
inference(avatar_component_clause,[],[f3470]) ).
fof(f3477,plain,
( ~ spl69_28
| spl69_29
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(avatar_split_clause,[],[f3467,f3412,f3408,f3101,f647,f3474,f3470]) ).
fof(f3467,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK66(sK19,sK19))
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(subsumption_resolution,[],[f3463,f375]) ).
fof(f3463,plain,
( frontsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| spl69_1
| ~ spl69_24
| ~ spl69_26
| ~ spl69_27 ),
inference(superposition,[],[f2328,f3455]) ).
fof(f2328,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f627,f568]) ).
fof(f627,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f579]) ).
fof(f579,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f3420,plain,
( spl69_1
| ~ spl69_24
| spl69_26 ),
inference(avatar_contradiction_clause,[],[f3419]) ).
fof(f3419,plain,
( $false
| spl69_1
| ~ spl69_24
| spl69_26 ),
inference(subsumption_resolution,[],[f3418,f375]) ).
fof(f3418,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_24
| spl69_26 ),
inference(subsumption_resolution,[],[f3417,f396]) ).
fof(f3417,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_24
| spl69_26 ),
inference(subsumption_resolution,[],[f3416,f3292]) ).
fof(f3416,plain,
( ~ frontsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| spl69_26 ),
inference(resolution,[],[f3410,f577]) ).
fof(f3410,plain,
( ~ ssList(sK63(sK19,nil))
| spl69_26 ),
inference(avatar_component_clause,[],[f3408]) ).
fof(f3415,plain,
( ~ spl69_26
| spl69_27
| spl69_1
| ~ spl69_24 ),
inference(avatar_split_clause,[],[f3306,f3101,f647,f3412,f3408]) ).
fof(f3306,plain,
( rearsegP(sK19,sK63(sK19,nil))
| ~ ssList(sK63(sK19,nil))
| spl69_1
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f3304,f396]) ).
fof(f3304,plain,
( rearsegP(sK19,sK63(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK63(sK19,nil))
| spl69_1
| ~ spl69_24 ),
inference(superposition,[],[f2405,f3296]) ).
fof(f3113,plain,
( spl69_1
| spl69_24 ),
inference(avatar_contradiction_clause,[],[f3112]) ).
fof(f3112,plain,
( $false
| spl69_1
| spl69_24 ),
inference(subsumption_resolution,[],[f3111,f375]) ).
fof(f3111,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_24 ),
inference(subsumption_resolution,[],[f3110,f374]) ).
fof(f3110,plain,
( ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_1
| spl69_24 ),
inference(subsumption_resolution,[],[f3109,f662]) ).
fof(f3109,plain,
( ~ rearsegP(sK19,sK18)
| ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_24 ),
inference(resolution,[],[f3103,f584]) ).
fof(f3103,plain,
( ~ ssList(sK66(sK19,sK18))
| spl69_24 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f3108,plain,
( ~ spl69_24
| spl69_25
| spl69_1 ),
inference(avatar_split_clause,[],[f3089,f647,f3105,f3101]) ).
fof(f3089,plain,
( frontsegP(sK19,sK66(sK19,sK18))
| ~ ssList(sK66(sK19,sK18))
| spl69_1 ),
inference(subsumption_resolution,[],[f3085,f374]) ).
fof(f3085,plain,
( frontsegP(sK19,sK66(sK19,sK18))
| ~ ssList(sK18)
| ~ ssList(sK66(sK19,sK18))
| spl69_1 ),
inference(superposition,[],[f2328,f3079]) ).
fof(f2747,plain,
spl69_22,
inference(avatar_contradiction_clause,[],[f2746]) ).
fof(f2746,plain,
( $false
| spl69_22 ),
inference(subsumption_resolution,[],[f2745,f396]) ).
fof(f2745,plain,
( ~ ssList(nil)
| spl69_22 ),
inference(subsumption_resolution,[],[f2744,f603]) ).
fof(f2744,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| spl69_22 ),
inference(resolution,[],[f2738,f558]) ).
fof(f2738,plain,
( ~ ssList(cons(sK68,nil))
| spl69_22 ),
inference(avatar_component_clause,[],[f2736]) ).
fof(f2743,plain,
( ~ spl69_22
| spl69_23 ),
inference(avatar_split_clause,[],[f2734,f2740,f2736]) ).
fof(f2734,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f2727,f374]) ).
fof(f2727,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f568,f2629]) ).
fof(f2655,plain,
spl69_20,
inference(avatar_contradiction_clause,[],[f2654]) ).
fof(f2654,plain,
( $false
| spl69_20 ),
inference(subsumption_resolution,[],[f2653,f396]) ).
fof(f2653,plain,
( ~ ssList(nil)
| spl69_20 ),
inference(subsumption_resolution,[],[f2652,f602]) ).
fof(f2652,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| spl69_20 ),
inference(resolution,[],[f2646,f558]) ).
fof(f2646,plain,
( ~ ssList(cons(sK67,nil))
| spl69_20 ),
inference(avatar_component_clause,[],[f2644]) ).
fof(f2651,plain,
( ~ spl69_20
| spl69_21 ),
inference(avatar_split_clause,[],[f2642,f2648,f2644]) ).
fof(f2642,plain,
( ssList(cons(sK67,sK18))
| ~ ssList(cons(sK67,nil)) ),
inference(subsumption_resolution,[],[f2636,f374]) ).
fof(f2636,plain,
( ssList(cons(sK67,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK67,nil)) ),
inference(superposition,[],[f568,f2628]) ).
fof(f2307,plain,
( ~ spl69_18
| spl69_19
| spl69_1 ),
inference(avatar_split_clause,[],[f2298,f647,f2304,f2300]) ).
fof(f2300,plain,
( spl69_18
<=> rearsegP(sK18,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).
fof(f2304,plain,
( spl69_19
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).
fof(f2298,plain,
( sK18 = sK19
| ~ rearsegP(sK18,sK19)
| spl69_1 ),
inference(subsumption_resolution,[],[f2297,f374]) ).
fof(f2297,plain,
( sK18 = sK19
| ~ rearsegP(sK18,sK19)
| ~ ssList(sK18)
| spl69_1 ),
inference(subsumption_resolution,[],[f2293,f375]) ).
fof(f2293,plain,
( sK18 = sK19
| ~ rearsegP(sK18,sK19)
| ~ ssList(sK19)
| ~ ssList(sK18)
| spl69_1 ),
inference(resolution,[],[f574,f662]) ).
fof(f2185,plain,
( spl69_1
| spl69_16 ),
inference(avatar_contradiction_clause,[],[f2184]) ).
fof(f2184,plain,
( $false
| spl69_1
| spl69_16 ),
inference(subsumption_resolution,[],[f2183,f375]) ).
fof(f2183,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_16 ),
inference(subsumption_resolution,[],[f2182,f648]) ).
fof(f2182,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_16 ),
inference(resolution,[],[f2176,f460]) ).
fof(f2176,plain,
( ~ ssList(sK22(sK19))
| spl69_16 ),
inference(avatar_component_clause,[],[f2174]) ).
fof(f2181,plain,
( ~ spl69_16
| spl69_17
| spl69_1
| ~ spl69_8 ),
inference(avatar_split_clause,[],[f2172,f1574,f647,f2178,f2174]) ).
fof(f2178,plain,
( spl69_17
<=> memberP(sK19,sK23(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).
fof(f2172,plain,
( memberP(sK19,sK23(sK19))
| ~ ssList(sK22(sK19))
| spl69_1
| ~ spl69_8 ),
inference(subsumption_resolution,[],[f2171,f1575]) ).
fof(f2171,plain,
( memberP(sK19,sK23(sK19))
| ~ ssList(sK22(sK19))
| ~ ssItem(sK23(sK19))
| spl69_1 ),
inference(superposition,[],[f636,f2163]) ).
fof(f1898,plain,
( spl69_3
| spl69_14 ),
inference(avatar_contradiction_clause,[],[f1897]) ).
fof(f1897,plain,
( $false
| spl69_3
| spl69_14 ),
inference(subsumption_resolution,[],[f1896,f374]) ).
fof(f1896,plain,
( ~ ssList(sK18)
| spl69_3
| spl69_14 ),
inference(subsumption_resolution,[],[f1895,f683]) ).
fof(f683,plain,
( nil != sK18
| spl69_3 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f681,plain,
( spl69_3
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f1895,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_14 ),
inference(resolution,[],[f1889,f464]) ).
fof(f1889,plain,
( ~ ssList(tl(sK18))
| spl69_14 ),
inference(avatar_component_clause,[],[f1887]) ).
fof(f1894,plain,
( ~ spl69_14
| spl69_15
| spl69_3
| ~ spl69_10 ),
inference(avatar_split_clause,[],[f1853,f1658,f681,f1891,f1887]) ).
fof(f1891,plain,
( spl69_15
<=> memberP(sK18,hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).
fof(f1853,plain,
( memberP(sK18,hd(sK18))
| ~ ssList(tl(sK18))
| spl69_3
| ~ spl69_10 ),
inference(subsumption_resolution,[],[f1852,f1659]) ).
fof(f1852,plain,
( memberP(sK18,hd(sK18))
| ~ ssList(tl(sK18))
| ~ ssItem(hd(sK18))
| spl69_3 ),
inference(superposition,[],[f636,f1798]) ).
fof(f1798,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1677,f1442,f1680,f1395,f1683,f1340,f1244,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188,f1781,f1692,f1782,f1689,f1291,f1784,f1686,f1785,f1493,f1796,f1674,f1797,f1596]) ).
fof(f1596,plain,
( nil = sK18
| sK18 = cons(hd(sK18),tl(sK18)) ),
inference(resolution,[],[f465,f374]) ).
fof(f1797,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1677,f1442,f1680,f1395,f1683,f1340,f1244,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188,f1781,f1692,f1782,f1689,f1291,f1784,f1686,f1785,f1493,f1796,f1674]) ).
fof(f1674,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1528,f379]) ).
fof(f1528,plain,
( nil = sK18
| sK20 = cons(sK23(sK20),sK22(sK20)) ),
inference(forward_demodulation,[],[f1495,f379]) ).
fof(f1495,plain,
( nil = sK20
| sK20 = cons(sK23(sK20),sK22(sK20)) ),
inference(resolution,[],[f462,f376]) ).
fof(f1796,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1677,f1442,f1680,f1395,f1683,f1340,f1244,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188,f1781,f1692,f1782,f1689,f1291,f1784,f1686,f1785,f1493]) ).
fof(f1493,plain,
( nil = sK18
| sK18 = cons(sK23(sK18),sK22(sK18)) ),
inference(resolution,[],[f462,f374]) ).
fof(f1785,plain,
( sK18 = tl(cons(sK24(sK18),sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1244,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188,f1781,f1692,f1782,f1689,f1291,f1784,f1686]) ).
fof(f1686,plain,
( sK18 = tl(cons(sK24(sK18),sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1328,f379]) ).
fof(f1328,plain,
( nil = sK18
| sK18 = tl(cons(sK24(sK20),sK18)) ),
inference(forward_demodulation,[],[f1293,f379]) ).
fof(f1293,plain,
( nil = sK20
| sK18 = tl(cons(sK24(sK20),sK18)) ),
inference(resolution,[],[f934,f376]) ).
fof(f1784,plain,
( sK18 = tl(cons(sK24(sK18),sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1244,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188,f1781,f1692,f1782,f1689,f1291]) ).
fof(f1291,plain,
( nil = sK18
| sK18 = tl(cons(sK24(sK18),sK18)) ),
inference(resolution,[],[f934,f374]) ).
fof(f1689,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1279,f379]) ).
fof(f1279,plain,
( nil = sK18
| sK18 = tl(cons(sK23(sK20),sK18)) ),
inference(forward_demodulation,[],[f1246,f379]) ).
fof(f1246,plain,
( nil = sK20
| sK18 = tl(cons(sK23(sK20),sK18)) ),
inference(resolution,[],[f933,f376]) ).
fof(f1782,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188,f1781,f1692]) ).
fof(f1692,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1223,f379]) ).
fof(f1223,plain,
( nil = sK18
| sK18 = tl(cons(hd(sK20),sK18)) ),
inference(forward_demodulation,[],[f1190,f379]) ).
fof(f1190,plain,
( nil = sK20
| sK18 = tl(cons(hd(sK20),sK18)) ),
inference(resolution,[],[f932,f376]) ).
fof(f1781,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695,f1780,f1188]) ).
fof(f1188,plain,
( nil = sK18
| sK18 = tl(cons(hd(sK18),sK18)) ),
inference(resolution,[],[f932,f374]) ).
fof(f1780,plain,
( tl(sK18) = sK25(sK18)
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1188,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863,f1779,f1695]) ).
fof(f1695,plain,
( tl(sK18) = sK25(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f892,f379]) ).
fof(f892,plain,
( nil = sK18
| tl(sK20) = sK25(sK20) ),
inference(forward_demodulation,[],[f865,f379]) ).
fof(f865,plain,
( nil = sK20
| tl(sK20) = sK25(sK20) ),
inference(resolution,[],[f469,f376]) ).
fof(f1779,plain,
( tl(sK18) = sK25(sK18)
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1188,f1695,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698,f1778,f863]) ).
fof(f863,plain,
( nil = sK18
| tl(sK18) = sK25(sK18) ),
inference(resolution,[],[f469,f374]) ).
fof(f1778,plain,
( hd(sK18) = sK24(sK18)
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1188,f1695,f863,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822,f1777,f1698]) ).
fof(f1698,plain,
( hd(sK18) = sK24(sK18)
| nil = sK18 ),
inference(forward_demodulation,[],[f851,f379]) ).
fof(f851,plain,
( nil = sK18
| hd(sK20) = sK24(sK20) ),
inference(forward_demodulation,[],[f824,f379]) ).
fof(f824,plain,
( nil = sK20
| hd(sK20) = sK24(sK20) ),
inference(resolution,[],[f467,f376]) ).
fof(f1777,plain,
( hd(sK18) = sK24(sK18)
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1188,f1695,f863,f1698,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771,f1772,f822]) ).
fof(f822,plain,
( nil = sK18
| hd(sK18) = sK24(sK18) ),
inference(resolution,[],[f467,f374]) ).
fof(f1772,plain,
( neq(sK18,nil)
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1188,f1695,f863,f1698,f822,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f1771]) ).
fof(f1771,plain,
( nil = sK18
| neq(sK18,nil) ),
inference(forward_demodulation,[],[f658,f379]) ).
fof(f658,plain,
( neq(sK18,nil)
| nil = sK20 ),
inference(forward_demodulation,[],[f385,f379]) ).
fof(f823,plain,
( nil = sK19
| hd(sK19) = sK24(sK19) ),
inference(resolution,[],[f467,f375]) ).
fof(f1740,plain,
( hd(sK19) = sK24(sK19)
| nil = sK19 ),
inference(forward_demodulation,[],[f854,f378]) ).
fof(f854,plain,
( nil = sK19
| hd(sK21) = sK24(sK21) ),
inference(forward_demodulation,[],[f825,f378]) ).
fof(f825,plain,
( nil = sK21
| hd(sK21) = sK24(sK21) ),
inference(resolution,[],[f467,f377]) ).
fof(f864,plain,
( nil = sK19
| tl(sK19) = sK25(sK19) ),
inference(resolution,[],[f469,f375]) ).
fof(f1739,plain,
( tl(sK19) = sK25(sK19)
| nil = sK19 ),
inference(forward_demodulation,[],[f895,f378]) ).
fof(f895,plain,
( nil = sK19
| tl(sK21) = sK25(sK21) ),
inference(forward_demodulation,[],[f866,f378]) ).
fof(f866,plain,
( nil = sK21
| tl(sK21) = sK25(sK21) ),
inference(resolution,[],[f469,f377]) ).
fof(f1341,plain,
( nil = sK19
| sK19 = tl(cons(hd(sK19),sK19)) ),
inference(resolution,[],[f954,f375]) ).
fof(f1727,plain,
( sK19 = tl(cons(hd(sK19),sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1378,f378]) ).
fof(f1378,plain,
( nil = sK19
| sK19 = tl(cons(hd(sK21),sK19)) ),
inference(forward_demodulation,[],[f1343,f378]) ).
fof(f1343,plain,
( nil = sK21
| sK19 = tl(cons(hd(sK21),sK19)) ),
inference(resolution,[],[f954,f377]) ).
fof(f1396,plain,
( nil = sK19
| sK19 = tl(cons(sK23(sK19),sK19)) ),
inference(resolution,[],[f955,f375]) ).
fof(f1724,plain,
( sK19 = tl(cons(sK23(sK19),sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1433,f378]) ).
fof(f1433,plain,
( nil = sK19
| sK19 = tl(cons(sK23(sK21),sK19)) ),
inference(forward_demodulation,[],[f1398,f378]) ).
fof(f1398,plain,
( nil = sK21
| sK19 = tl(cons(sK23(sK21),sK19)) ),
inference(resolution,[],[f955,f377]) ).
fof(f1443,plain,
( nil = sK19
| sK19 = tl(cons(sK24(sK19),sK19)) ),
inference(resolution,[],[f956,f375]) ).
fof(f1723,plain,
( sK19 = tl(cons(sK24(sK19),sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1483,f378]) ).
fof(f1483,plain,
( nil = sK19
| sK19 = tl(cons(sK24(sK21),sK19)) ),
inference(forward_demodulation,[],[f1445,f378]) ).
fof(f1445,plain,
( nil = sK21
| sK19 = tl(cons(sK24(sK21),sK19)) ),
inference(resolution,[],[f956,f377]) ).
fof(f1722,plain,
( sK19 = cons(sK23(sK19),sK22(sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1531,f378]) ).
fof(f1531,plain,
( nil = sK19
| sK21 = cons(sK23(sK21),sK22(sK21)) ),
inference(forward_demodulation,[],[f1496,f378]) ).
fof(f1496,plain,
( nil = sK21
| sK21 = cons(sK23(sK21),sK22(sK21)) ),
inference(resolution,[],[f462,f377]) ).
fof(f1720,plain,
( sK19 = cons(hd(sK19),tl(sK19))
| nil = sK19 ),
inference(forward_demodulation,[],[f1634,f378]) ).
fof(f1634,plain,
( nil = sK19
| sK21 = cons(hd(sK21),tl(sK21)) ),
inference(forward_demodulation,[],[f1599,f378]) ).
fof(f1599,plain,
( nil = sK21
| sK21 = cons(hd(sK21),tl(sK21)) ),
inference(resolution,[],[f465,f377]) ).
fof(f1244,plain,
( nil = sK18
| sK18 = tl(cons(sK23(sK18),sK18)) ),
inference(resolution,[],[f933,f374]) ).
fof(f1340,plain,
( nil = sK18
| sK19 = tl(cons(hd(sK18),sK19)) ),
inference(resolution,[],[f954,f374]) ).
fof(f1683,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| nil = sK18 ),
inference(forward_demodulation,[],[f1375,f379]) ).
fof(f1375,plain,
( nil = sK18
| sK19 = tl(cons(hd(sK20),sK19)) ),
inference(forward_demodulation,[],[f1342,f379]) ).
fof(f1342,plain,
( nil = sK20
| sK19 = tl(cons(hd(sK20),sK19)) ),
inference(resolution,[],[f954,f376]) ).
fof(f1395,plain,
( nil = sK18
| sK19 = tl(cons(sK23(sK18),sK19)) ),
inference(resolution,[],[f955,f374]) ).
fof(f1680,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| nil = sK18 ),
inference(forward_demodulation,[],[f1430,f379]) ).
fof(f1430,plain,
( nil = sK18
| sK19 = tl(cons(sK23(sK20),sK19)) ),
inference(forward_demodulation,[],[f1397,f379]) ).
fof(f1397,plain,
( nil = sK20
| sK19 = tl(cons(sK23(sK20),sK19)) ),
inference(resolution,[],[f955,f376]) ).
fof(f1442,plain,
( nil = sK18
| sK19 = tl(cons(sK24(sK18),sK19)) ),
inference(resolution,[],[f956,f374]) ).
fof(f1677,plain,
( sK19 = tl(cons(sK24(sK18),sK19))
| nil = sK18 ),
inference(forward_demodulation,[],[f1479,f379]) ).
fof(f1479,plain,
( nil = sK18
| sK19 = tl(cons(sK24(sK20),sK19)) ),
inference(forward_demodulation,[],[f1444,f379]) ).
fof(f1444,plain,
( nil = sK20
| sK19 = tl(cons(sK24(sK20),sK19)) ),
inference(resolution,[],[f956,f376]) ).
fof(f1671,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| nil = sK18 ),
inference(forward_demodulation,[],[f1631,f379]) ).
fof(f1631,plain,
( nil = sK18
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(forward_demodulation,[],[f1598,f379]) ).
fof(f1598,plain,
( nil = sK20
| sK20 = cons(hd(sK20),tl(sK20)) ),
inference(resolution,[],[f465,f376]) ).
fof(f1646,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1645,f374]) ).
fof(f1645,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(sK18)
| spl69_3 ),
inference(inner_rewriting,[],[f1643]) ).
fof(f1644,plain,
( memberP(sK18,hd(sK18))
| ~ ssList(tl(sK18))
| ~ ssItem(hd(sK18))
| spl69_3 ),
inference(superposition,[],[f636,f1629]) ).
fof(f1643,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(tl(sK18))
| spl69_3 ),
inference(superposition,[],[f560,f1629]) ).
fof(f1640,plain,
( strictorderedP(sK18)
| ~ sP2(tl(sK18),hd(sK18))
| ~ sP3(hd(sK18),tl(sK18))
| spl69_3 ),
inference(superposition,[],[f442,f1629]) ).
fof(f1639,plain,
( ~ strictorderedP(sK18)
| sP2(tl(sK18),hd(sK18))
| ~ sP3(hd(sK18),tl(sK18))
| spl69_3 ),
inference(superposition,[],[f441,f1629]) ).
fof(f1638,plain,
( totalorderedP(sK18)
| ~ sP0(tl(sK18),hd(sK18))
| ~ sP1(hd(sK18),tl(sK18))
| spl69_3 ),
inference(superposition,[],[f434,f1629]) ).
fof(f1637,plain,
( ~ totalorderedP(sK18)
| sP0(tl(sK18),hd(sK18))
| ~ sP1(hd(sK18),tl(sK18))
| spl69_3 ),
inference(superposition,[],[f433,f1629]) ).
fof(f1629,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1596,f683]) ).
fof(f1627,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(hd(sK66(X0,X1)),tl(sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f465,f584]) ).
fof(f1626,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(hd(sK65(X0,X1)),tl(sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f465,f581]) ).
fof(f1625,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(hd(sK64(X0,X1)),tl(sK64(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f465,f580]) ).
fof(f1624,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(hd(sK63(X0,X1)),tl(sK63(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f465,f577]) ).
fof(f1623,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK62(X0,X1) = cons(hd(sK62(X0,X1)),tl(sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f465,f565]) ).
fof(f1622,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK61(X0,X1) = cons(hd(sK61(X0,X1)),tl(sK61(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f465,f564]) ).
fof(f1621,plain,
! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(hd(sK60(X0)),tl(sK60(X0)))
| sP16(X0) ),
inference(resolution,[],[f465,f548]) ).
fof(f1620,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(hd(sK59(X0)),tl(sK59(X0)))
| sP16(X0) ),
inference(resolution,[],[f465,f547]) ).
fof(f1619,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(hd(sK58(X0)),tl(sK58(X0)))
| sP16(X0) ),
inference(resolution,[],[f465,f546]) ).
fof(f1618,plain,
! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(hd(sK55(X0)),tl(sK55(X0)))
| sP14(X0) ),
inference(resolution,[],[f465,f537]) ).
fof(f1617,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(hd(sK54(X0)),tl(sK54(X0)))
| sP14(X0) ),
inference(resolution,[],[f465,f536]) ).
fof(f1616,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(hd(sK53(X0)),tl(sK53(X0)))
| sP14(X0) ),
inference(resolution,[],[f465,f535]) ).
fof(f1615,plain,
! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(hd(sK50(X0)),tl(sK50(X0)))
| sP12(X0) ),
inference(resolution,[],[f465,f525]) ).
fof(f1614,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(hd(sK49(X0)),tl(sK49(X0)))
| sP12(X0) ),
inference(resolution,[],[f465,f524]) ).
fof(f1613,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(hd(sK48(X0)),tl(sK48(X0)))
| sP12(X0) ),
inference(resolution,[],[f465,f523]) ).
fof(f1612,plain,
! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(hd(sK45(X0)),tl(sK45(X0)))
| sP10(X0) ),
inference(resolution,[],[f465,f513]) ).
fof(f1611,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(hd(sK44(X0)),tl(sK44(X0)))
| sP10(X0) ),
inference(resolution,[],[f465,f512]) ).
fof(f1610,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(hd(sK43(X0)),tl(sK43(X0)))
| sP10(X0) ),
inference(resolution,[],[f465,f511]) ).
fof(f1609,plain,
! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(hd(sK40(X0)),tl(sK40(X0)))
| sP8(X0) ),
inference(resolution,[],[f465,f501]) ).
fof(f1608,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(hd(sK39(X0)),tl(sK39(X0)))
| sP8(X0) ),
inference(resolution,[],[f465,f500]) ).
fof(f1607,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(hd(sK38(X0)),tl(sK38(X0)))
| sP8(X0) ),
inference(resolution,[],[f465,f499]) ).
fof(f1606,plain,
! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(hd(sK35(X0)),tl(sK35(X0)))
| sP6(X0) ),
inference(resolution,[],[f465,f490]) ).
fof(f1605,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(hd(sK34(X0)),tl(sK34(X0)))
| sP6(X0) ),
inference(resolution,[],[f465,f489]) ).
fof(f1604,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(hd(sK33(X0)),tl(sK33(X0)))
| sP6(X0) ),
inference(resolution,[],[f465,f488]) ).
fof(f1603,plain,
! [X0] :
( nil = sK30(X0)
| sK30(X0) = cons(hd(sK30(X0)),tl(sK30(X0)))
| sP4(X0) ),
inference(resolution,[],[f465,f479]) ).
fof(f1602,plain,
! [X0] :
( nil = sK29(X0)
| sK29(X0) = cons(hd(sK29(X0)),tl(sK29(X0)))
| sP4(X0) ),
inference(resolution,[],[f465,f478]) ).
fof(f1601,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(hd(sK25(X0)),tl(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f465,f468]) ).
fof(f1600,plain,
! [X0] :
( nil = sK22(X0)
| sK22(X0) = cons(hd(sK22(X0)),tl(sK22(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f465,f460]) ).
fof(f1633,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl69_3 ),
inference(forward_demodulation,[],[f1632,f379]) ).
fof(f1632,plain,
( sK20 = cons(hd(sK20),tl(sK20))
| spl69_3 ),
inference(subsumption_resolution,[],[f1631,f683]) ).
fof(f1595,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(hd(tl(X0)),tl(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f465,f464]) ).
fof(f1593,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,[],[f465,f568]) ).
fof(f1628,plain,
! [X0,X1] :
( cons(X0,X1) = cons(hd(cons(X0,X1)),tl(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1592,f559]) ).
fof(f1592,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,[],[f465,f558]) ).
fof(f1543,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1542,f374]) ).
fof(f1542,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| ~ ssList(sK18)
| spl69_3 ),
inference(inner_rewriting,[],[f1540]) ).
fof(f1541,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| ~ ssItem(sK23(sK18))
| spl69_3 ),
inference(superposition,[],[f636,f1526]) ).
fof(f1540,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| ~ ssList(sK22(sK18))
| spl69_3 ),
inference(superposition,[],[f560,f1526]) ).
fof(f1537,plain,
( strictorderedP(sK18)
| ~ sP2(sK22(sK18),sK23(sK18))
| ~ sP3(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(superposition,[],[f442,f1526]) ).
fof(f1536,plain,
( ~ strictorderedP(sK18)
| sP2(sK22(sK18),sK23(sK18))
| ~ sP3(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(superposition,[],[f441,f1526]) ).
fof(f1535,plain,
( totalorderedP(sK18)
| ~ sP0(sK22(sK18),sK23(sK18))
| ~ sP1(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(superposition,[],[f434,f1526]) ).
fof(f1534,plain,
( ~ totalorderedP(sK18)
| sP0(sK22(sK18),sK23(sK18))
| ~ sP1(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(superposition,[],[f433,f1526]) ).
fof(f1526,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1493,f683]) ).
fof(f1524,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK66(X0,X1) = cons(sK23(sK66(X0,X1)),sK22(sK66(X0,X1)))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f584]) ).
fof(f1523,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK65(X0,X1) = cons(sK23(sK65(X0,X1)),sK22(sK65(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f581]) ).
fof(f1522,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK64(X0,X1) = cons(sK23(sK64(X0,X1)),sK22(sK64(X0,X1)))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f580]) ).
fof(f1521,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK63(X0,X1) = cons(sK23(sK63(X0,X1)),sK22(sK63(X0,X1)))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f577]) ).
fof(f1520,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK62(X0,X1) = cons(sK23(sK62(X0,X1)),sK22(sK62(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f565]) ).
fof(f1519,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK61(X0,X1) = cons(sK23(sK61(X0,X1)),sK22(sK61(X0,X1)))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f564]) ).
fof(f1518,plain,
! [X0] :
( nil = sK60(X0)
| sK60(X0) = cons(sK23(sK60(X0)),sK22(sK60(X0)))
| sP16(X0) ),
inference(resolution,[],[f462,f548]) ).
fof(f1517,plain,
! [X0] :
( nil = sK59(X0)
| sK59(X0) = cons(sK23(sK59(X0)),sK22(sK59(X0)))
| sP16(X0) ),
inference(resolution,[],[f462,f547]) ).
fof(f1516,plain,
! [X0] :
( nil = sK58(X0)
| sK58(X0) = cons(sK23(sK58(X0)),sK22(sK58(X0)))
| sP16(X0) ),
inference(resolution,[],[f462,f546]) ).
fof(f1515,plain,
! [X0] :
( nil = sK55(X0)
| sK55(X0) = cons(sK23(sK55(X0)),sK22(sK55(X0)))
| sP14(X0) ),
inference(resolution,[],[f462,f537]) ).
fof(f1514,plain,
! [X0] :
( nil = sK54(X0)
| sK54(X0) = cons(sK23(sK54(X0)),sK22(sK54(X0)))
| sP14(X0) ),
inference(resolution,[],[f462,f536]) ).
fof(f1513,plain,
! [X0] :
( nil = sK53(X0)
| sK53(X0) = cons(sK23(sK53(X0)),sK22(sK53(X0)))
| sP14(X0) ),
inference(resolution,[],[f462,f535]) ).
fof(f1512,plain,
! [X0] :
( nil = sK50(X0)
| sK50(X0) = cons(sK23(sK50(X0)),sK22(sK50(X0)))
| sP12(X0) ),
inference(resolution,[],[f462,f525]) ).
fof(f1511,plain,
! [X0] :
( nil = sK49(X0)
| sK49(X0) = cons(sK23(sK49(X0)),sK22(sK49(X0)))
| sP12(X0) ),
inference(resolution,[],[f462,f524]) ).
fof(f1510,plain,
! [X0] :
( nil = sK48(X0)
| sK48(X0) = cons(sK23(sK48(X0)),sK22(sK48(X0)))
| sP12(X0) ),
inference(resolution,[],[f462,f523]) ).
fof(f1509,plain,
! [X0] :
( nil = sK45(X0)
| sK45(X0) = cons(sK23(sK45(X0)),sK22(sK45(X0)))
| sP10(X0) ),
inference(resolution,[],[f462,f513]) ).
fof(f1508,plain,
! [X0] :
( nil = sK44(X0)
| sK44(X0) = cons(sK23(sK44(X0)),sK22(sK44(X0)))
| sP10(X0) ),
inference(resolution,[],[f462,f512]) ).
fof(f1507,plain,
! [X0] :
( nil = sK43(X0)
| sK43(X0) = cons(sK23(sK43(X0)),sK22(sK43(X0)))
| sP10(X0) ),
inference(resolution,[],[f462,f511]) ).
fof(f1506,plain,
! [X0] :
( nil = sK40(X0)
| sK40(X0) = cons(sK23(sK40(X0)),sK22(sK40(X0)))
| sP8(X0) ),
inference(resolution,[],[f462,f501]) ).
fof(f1505,plain,
! [X0] :
( nil = sK39(X0)
| sK39(X0) = cons(sK23(sK39(X0)),sK22(sK39(X0)))
| sP8(X0) ),
inference(resolution,[],[f462,f500]) ).
fof(f1504,plain,
! [X0] :
( nil = sK38(X0)
| sK38(X0) = cons(sK23(sK38(X0)),sK22(sK38(X0)))
| sP8(X0) ),
inference(resolution,[],[f462,f499]) ).
fof(f1503,plain,
! [X0] :
( nil = sK35(X0)
| sK35(X0) = cons(sK23(sK35(X0)),sK22(sK35(X0)))
| sP6(X0) ),
inference(resolution,[],[f462,f490]) ).
fof(f1502,plain,
! [X0] :
( nil = sK34(X0)
| sK34(X0) = cons(sK23(sK34(X0)),sK22(sK34(X0)))
| sP6(X0) ),
inference(resolution,[],[f462,f489]) ).
fof(f1501,plain,
! [X0] :
( nil = sK33(X0)
| sK33(X0) = cons(sK23(sK33(X0)),sK22(sK33(X0)))
| sP6(X0) ),
inference(resolution,[],[f462,f488]) ).
fof(f1500,plain,
! [X0] :
( nil = sK30(X0)
| sK30(X0) = cons(sK23(sK30(X0)),sK22(sK30(X0)))
| sP4(X0) ),
inference(resolution,[],[f462,f479]) ).
fof(f1499,plain,
! [X0] :
( nil = sK29(X0)
| sK29(X0) = cons(sK23(sK29(X0)),sK22(sK29(X0)))
| sP4(X0) ),
inference(resolution,[],[f462,f478]) ).
fof(f1498,plain,
! [X0] :
( nil = sK25(X0)
| sK25(X0) = cons(sK23(sK25(X0)),sK22(sK25(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f462,f468]) ).
fof(f1497,plain,
! [X0] :
( nil = sK22(X0)
| sK22(X0) = cons(sK23(sK22(X0)),sK22(sK22(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f462,f460]) ).
fof(f1530,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_3 ),
inference(forward_demodulation,[],[f1529,f379]) ).
fof(f1529,plain,
( sK20 = cons(sK23(sK20),sK22(sK20))
| spl69_3 ),
inference(subsumption_resolution,[],[f1528,f683]) ).
fof(f1492,plain,
! [X0] :
( nil = tl(X0)
| tl(X0) = cons(sK23(tl(X0)),sK22(tl(X0)))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f462,f464]) ).
fof(f1490,plain,
! [X0,X1] :
( nil = app(X0,X1)
| app(X0,X1) = cons(sK23(app(X0,X1)),sK22(app(X0,X1)))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f462,f568]) ).
fof(f1525,plain,
! [X0,X1] :
( cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1489,f559]) ).
fof(f1489,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| cons(X0,X1) = cons(sK23(cons(X0,X1)),sK22(cons(X0,X1)))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f462,f558]) ).
fof(f1488,plain,
! [X0] :
( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1487]) ).
fof(f1487,plain,
! [X0] :
( sK26(cons(X0,nil)) = hd(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f1011,f613]) ).
fof(f1011,plain,
! [X0] :
( ~ singletonP(X0)
| sK26(X0) = hd(cons(sK26(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f978,f470]) ).
fof(f1473,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK19 = tl(cons(sK24(sK66(X0,X1)),sK19))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f584]) ).
fof(f1472,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK19 = tl(cons(sK24(sK65(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f581]) ).
fof(f1471,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK19 = tl(cons(sK24(sK64(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f580]) ).
fof(f1470,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK19 = tl(cons(sK24(sK63(X0,X1)),sK19))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f577]) ).
fof(f1469,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK19 = tl(cons(sK24(sK62(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f565]) ).
fof(f1468,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK19 = tl(cons(sK24(sK61(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f564]) ).
fof(f1467,plain,
! [X0] :
( nil = sK60(X0)
| sK19 = tl(cons(sK24(sK60(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f956,f548]) ).
fof(f1466,plain,
! [X0] :
( nil = sK59(X0)
| sK19 = tl(cons(sK24(sK59(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f956,f547]) ).
fof(f1465,plain,
! [X0] :
( nil = sK58(X0)
| sK19 = tl(cons(sK24(sK58(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f956,f546]) ).
fof(f1464,plain,
! [X0] :
( nil = sK55(X0)
| sK19 = tl(cons(sK24(sK55(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f956,f537]) ).
fof(f1463,plain,
! [X0] :
( nil = sK54(X0)
| sK19 = tl(cons(sK24(sK54(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f956,f536]) ).
fof(f1462,plain,
! [X0] :
( nil = sK53(X0)
| sK19 = tl(cons(sK24(sK53(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f956,f535]) ).
fof(f1461,plain,
! [X0] :
( nil = sK50(X0)
| sK19 = tl(cons(sK24(sK50(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f956,f525]) ).
fof(f1460,plain,
! [X0] :
( nil = sK49(X0)
| sK19 = tl(cons(sK24(sK49(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f956,f524]) ).
fof(f1459,plain,
! [X0] :
( nil = sK48(X0)
| sK19 = tl(cons(sK24(sK48(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f956,f523]) ).
fof(f1458,plain,
! [X0] :
( nil = sK45(X0)
| sK19 = tl(cons(sK24(sK45(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f956,f513]) ).
fof(f1457,plain,
! [X0] :
( nil = sK44(X0)
| sK19 = tl(cons(sK24(sK44(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f956,f512]) ).
fof(f1456,plain,
! [X0] :
( nil = sK43(X0)
| sK19 = tl(cons(sK24(sK43(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f956,f511]) ).
fof(f1455,plain,
! [X0] :
( nil = sK40(X0)
| sK19 = tl(cons(sK24(sK40(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f956,f501]) ).
fof(f1454,plain,
! [X0] :
( nil = sK39(X0)
| sK19 = tl(cons(sK24(sK39(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f956,f500]) ).
fof(f1453,plain,
! [X0] :
( nil = sK38(X0)
| sK19 = tl(cons(sK24(sK38(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f956,f499]) ).
fof(f1452,plain,
! [X0] :
( nil = sK35(X0)
| sK19 = tl(cons(sK24(sK35(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f956,f490]) ).
fof(f1451,plain,
! [X0] :
( nil = sK34(X0)
| sK19 = tl(cons(sK24(sK34(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f956,f489]) ).
fof(f1450,plain,
! [X0] :
( nil = sK33(X0)
| sK19 = tl(cons(sK24(sK33(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f956,f488]) ).
fof(f1449,plain,
! [X0] :
( nil = sK30(X0)
| sK19 = tl(cons(sK24(sK30(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f956,f479]) ).
fof(f1448,plain,
! [X0] :
( nil = sK29(X0)
| sK19 = tl(cons(sK24(sK29(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f956,f478]) ).
fof(f1447,plain,
! [X0] :
( nil = sK25(X0)
| sK19 = tl(cons(sK24(sK25(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f468]) ).
fof(f1446,plain,
! [X0] :
( nil = sK22(X0)
| sK19 = tl(cons(sK24(sK22(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f460]) ).
fof(f1441,plain,
! [X0] :
( nil = tl(X0)
| sK19 = tl(cons(sK24(tl(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f956,f464]) ).
fof(f1439,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK19 = tl(cons(sK24(app(X0,X1)),sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f956,f568]) ).
fof(f1474,plain,
! [X0,X1] :
( sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1438,f559]) ).
fof(f1438,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK19 = tl(cons(sK24(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f956,f558]) ).
fof(f956,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK19 = tl(cons(sK24(X0),sK19)) ),
inference(resolution,[],[f905,f466]) ).
fof(f1428,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1395,f683]) ).
fof(f1426,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK19 = tl(cons(sK23(sK66(X0,X1)),sK19))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f584]) ).
fof(f1425,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK19 = tl(cons(sK23(sK65(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f581]) ).
fof(f1424,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK19 = tl(cons(sK23(sK64(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f580]) ).
fof(f1423,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK19 = tl(cons(sK23(sK63(X0,X1)),sK19))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f577]) ).
fof(f1422,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK19 = tl(cons(sK23(sK62(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f565]) ).
fof(f1421,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK19 = tl(cons(sK23(sK61(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f564]) ).
fof(f1420,plain,
! [X0] :
( nil = sK60(X0)
| sK19 = tl(cons(sK23(sK60(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f955,f548]) ).
fof(f1419,plain,
! [X0] :
( nil = sK59(X0)
| sK19 = tl(cons(sK23(sK59(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f955,f547]) ).
fof(f1418,plain,
! [X0] :
( nil = sK58(X0)
| sK19 = tl(cons(sK23(sK58(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f955,f546]) ).
fof(f1417,plain,
! [X0] :
( nil = sK55(X0)
| sK19 = tl(cons(sK23(sK55(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f955,f537]) ).
fof(f1416,plain,
! [X0] :
( nil = sK54(X0)
| sK19 = tl(cons(sK23(sK54(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f955,f536]) ).
fof(f1415,plain,
! [X0] :
( nil = sK53(X0)
| sK19 = tl(cons(sK23(sK53(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f955,f535]) ).
fof(f1414,plain,
! [X0] :
( nil = sK50(X0)
| sK19 = tl(cons(sK23(sK50(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f955,f525]) ).
fof(f1413,plain,
! [X0] :
( nil = sK49(X0)
| sK19 = tl(cons(sK23(sK49(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f955,f524]) ).
fof(f1412,plain,
! [X0] :
( nil = sK48(X0)
| sK19 = tl(cons(sK23(sK48(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f955,f523]) ).
fof(f1411,plain,
! [X0] :
( nil = sK45(X0)
| sK19 = tl(cons(sK23(sK45(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f955,f513]) ).
fof(f1410,plain,
! [X0] :
( nil = sK44(X0)
| sK19 = tl(cons(sK23(sK44(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f955,f512]) ).
fof(f1409,plain,
! [X0] :
( nil = sK43(X0)
| sK19 = tl(cons(sK23(sK43(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f955,f511]) ).
fof(f1408,plain,
! [X0] :
( nil = sK40(X0)
| sK19 = tl(cons(sK23(sK40(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f955,f501]) ).
fof(f1407,plain,
! [X0] :
( nil = sK39(X0)
| sK19 = tl(cons(sK23(sK39(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f955,f500]) ).
fof(f1406,plain,
! [X0] :
( nil = sK38(X0)
| sK19 = tl(cons(sK23(sK38(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f955,f499]) ).
fof(f1405,plain,
! [X0] :
( nil = sK35(X0)
| sK19 = tl(cons(sK23(sK35(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f955,f490]) ).
fof(f1404,plain,
! [X0] :
( nil = sK34(X0)
| sK19 = tl(cons(sK23(sK34(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f955,f489]) ).
fof(f1403,plain,
! [X0] :
( nil = sK33(X0)
| sK19 = tl(cons(sK23(sK33(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f955,f488]) ).
fof(f1402,plain,
! [X0] :
( nil = sK30(X0)
| sK19 = tl(cons(sK23(sK30(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f955,f479]) ).
fof(f1401,plain,
! [X0] :
( nil = sK29(X0)
| sK19 = tl(cons(sK23(sK29(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f955,f478]) ).
fof(f1400,plain,
! [X0] :
( nil = sK25(X0)
| sK19 = tl(cons(sK23(sK25(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f955,f468]) ).
fof(f1399,plain,
! [X0] :
( nil = sK22(X0)
| sK19 = tl(cons(sK23(sK22(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f955,f460]) ).
fof(f1432,plain,
( sK19 = tl(cons(sK23(sK18),sK19))
| spl69_3 ),
inference(forward_demodulation,[],[f1431,f379]) ).
fof(f1431,plain,
( sK19 = tl(cons(sK23(sK20),sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1430,f683]) ).
fof(f1394,plain,
! [X0] :
( nil = tl(X0)
| sK19 = tl(cons(sK23(tl(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f955,f464]) ).
fof(f1392,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK19 = tl(cons(sK23(app(X0,X1)),sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f955,f568]) ).
fof(f1427,plain,
! [X0,X1] :
( sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1391,f559]) ).
fof(f1391,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK19 = tl(cons(sK23(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f955,f558]) ).
fof(f955,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK19 = tl(cons(sK23(X0),sK19)) ),
inference(resolution,[],[f905,f461]) ).
fof(f1373,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1340,f683]) ).
fof(f1387,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP2(cons(sK68,nil),X0)
| ~ strictorderedP(cons(sK68,nil))
| nil = cons(sK68,nil) ),
inference(superposition,[],[f447,f1149]) ).
fof(f1386,plain,
! [X0] :
( ~ lt(X0,sK67)
| sP2(cons(sK67,nil),X0)
| ~ strictorderedP(cons(sK67,nil))
| nil = cons(sK67,nil) ),
inference(superposition,[],[f447,f1148]) ).
fof(f1385,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP2(cons(sK68,sK19),X0)
| ~ strictorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) ),
inference(superposition,[],[f447,f1053]) ).
fof(f1384,plain,
! [X0] :
( ~ lt(X0,sK67)
| sP2(cons(sK67,sK19),X0)
| ~ strictorderedP(cons(sK67,sK19))
| nil = cons(sK67,sK19) ),
inference(superposition,[],[f447,f1052]) ).
fof(f1383,plain,
! [X0] :
( ~ lt(X0,sK68)
| sP2(cons(sK68,sK18),X0)
| ~ strictorderedP(cons(sK68,sK18))
| nil = cons(sK68,sK18) ),
inference(superposition,[],[f447,f1027]) ).
fof(f1382,plain,
! [X0] :
( ~ lt(X0,sK67)
| sP2(cons(sK67,sK18),X0)
| ~ strictorderedP(cons(sK67,sK18))
| nil = cons(sK67,sK18) ),
inference(superposition,[],[f447,f1026]) ).
fof(f1371,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK19 = tl(cons(hd(sK66(X0,X1)),sK19))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f584]) ).
fof(f1370,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK19 = tl(cons(hd(sK65(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f581]) ).
fof(f1369,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK19 = tl(cons(hd(sK64(X0,X1)),sK19))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f580]) ).
fof(f1368,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK19 = tl(cons(hd(sK63(X0,X1)),sK19))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f577]) ).
fof(f1367,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK19 = tl(cons(hd(sK62(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f565]) ).
fof(f1366,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK19 = tl(cons(hd(sK61(X0,X1)),sK19))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f564]) ).
fof(f1365,plain,
! [X0] :
( nil = sK60(X0)
| sK19 = tl(cons(hd(sK60(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f954,f548]) ).
fof(f1364,plain,
! [X0] :
( nil = sK59(X0)
| sK19 = tl(cons(hd(sK59(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f954,f547]) ).
fof(f1363,plain,
! [X0] :
( nil = sK58(X0)
| sK19 = tl(cons(hd(sK58(X0)),sK19))
| sP16(X0) ),
inference(resolution,[],[f954,f546]) ).
fof(f1362,plain,
! [X0] :
( nil = sK55(X0)
| sK19 = tl(cons(hd(sK55(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f954,f537]) ).
fof(f1361,plain,
! [X0] :
( nil = sK54(X0)
| sK19 = tl(cons(hd(sK54(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f954,f536]) ).
fof(f1360,plain,
! [X0] :
( nil = sK53(X0)
| sK19 = tl(cons(hd(sK53(X0)),sK19))
| sP14(X0) ),
inference(resolution,[],[f954,f535]) ).
fof(f1359,plain,
! [X0] :
( nil = sK50(X0)
| sK19 = tl(cons(hd(sK50(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f954,f525]) ).
fof(f1358,plain,
! [X0] :
( nil = sK49(X0)
| sK19 = tl(cons(hd(sK49(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f954,f524]) ).
fof(f1357,plain,
! [X0] :
( nil = sK48(X0)
| sK19 = tl(cons(hd(sK48(X0)),sK19))
| sP12(X0) ),
inference(resolution,[],[f954,f523]) ).
fof(f1356,plain,
! [X0] :
( nil = sK45(X0)
| sK19 = tl(cons(hd(sK45(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f954,f513]) ).
fof(f1355,plain,
! [X0] :
( nil = sK44(X0)
| sK19 = tl(cons(hd(sK44(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f954,f512]) ).
fof(f1354,plain,
! [X0] :
( nil = sK43(X0)
| sK19 = tl(cons(hd(sK43(X0)),sK19))
| sP10(X0) ),
inference(resolution,[],[f954,f511]) ).
fof(f1353,plain,
! [X0] :
( nil = sK40(X0)
| sK19 = tl(cons(hd(sK40(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f954,f501]) ).
fof(f1352,plain,
! [X0] :
( nil = sK39(X0)
| sK19 = tl(cons(hd(sK39(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f954,f500]) ).
fof(f1351,plain,
! [X0] :
( nil = sK38(X0)
| sK19 = tl(cons(hd(sK38(X0)),sK19))
| sP8(X0) ),
inference(resolution,[],[f954,f499]) ).
fof(f1350,plain,
! [X0] :
( nil = sK35(X0)
| sK19 = tl(cons(hd(sK35(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f954,f490]) ).
fof(f1349,plain,
! [X0] :
( nil = sK34(X0)
| sK19 = tl(cons(hd(sK34(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f954,f489]) ).
fof(f1348,plain,
! [X0] :
( nil = sK33(X0)
| sK19 = tl(cons(hd(sK33(X0)),sK19))
| sP6(X0) ),
inference(resolution,[],[f954,f488]) ).
fof(f1347,plain,
! [X0] :
( nil = sK30(X0)
| sK19 = tl(cons(hd(sK30(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f954,f479]) ).
fof(f1346,plain,
! [X0] :
( nil = sK29(X0)
| sK19 = tl(cons(hd(sK29(X0)),sK19))
| sP4(X0) ),
inference(resolution,[],[f954,f478]) ).
fof(f1345,plain,
! [X0] :
( nil = sK25(X0)
| sK19 = tl(cons(hd(sK25(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f954,f468]) ).
fof(f1344,plain,
! [X0] :
( nil = sK22(X0)
| sK19 = tl(cons(hd(sK22(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f954,f460]) ).
fof(f1377,plain,
( sK19 = tl(cons(hd(sK18),sK19))
| spl69_3 ),
inference(forward_demodulation,[],[f1376,f379]) ).
fof(f1376,plain,
( sK19 = tl(cons(hd(sK20),sK19))
| spl69_3 ),
inference(subsumption_resolution,[],[f1375,f683]) ).
fof(f1339,plain,
! [X0] :
( nil = tl(X0)
| sK19 = tl(cons(hd(tl(X0)),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f954,f464]) ).
fof(f1337,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK19 = tl(cons(hd(app(X0,X1)),sK19))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f954,f568]) ).
fof(f1372,plain,
! [X0,X1] :
( sK19 = tl(cons(hd(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1336,f559]) ).
fof(f1336,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK19 = tl(cons(hd(cons(X0,X1)),sK19))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f954,f558]) ).
fof(f954,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK19 = tl(cons(hd(X0),sK19)) ),
inference(resolution,[],[f905,f463]) ).
fof(f1322,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK18 = tl(cons(sK24(sK66(X0,X1)),sK18))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f584]) ).
fof(f1321,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK18 = tl(cons(sK24(sK65(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f581]) ).
fof(f1320,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK18 = tl(cons(sK24(sK64(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f580]) ).
fof(f1319,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK18 = tl(cons(sK24(sK63(X0,X1)),sK18))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f577]) ).
fof(f1318,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK18 = tl(cons(sK24(sK62(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f565]) ).
fof(f1317,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK18 = tl(cons(sK24(sK61(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f564]) ).
fof(f1316,plain,
! [X0] :
( nil = sK60(X0)
| sK18 = tl(cons(sK24(sK60(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f934,f548]) ).
fof(f1315,plain,
! [X0] :
( nil = sK59(X0)
| sK18 = tl(cons(sK24(sK59(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f934,f547]) ).
fof(f1314,plain,
! [X0] :
( nil = sK58(X0)
| sK18 = tl(cons(sK24(sK58(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f934,f546]) ).
fof(f1313,plain,
! [X0] :
( nil = sK55(X0)
| sK18 = tl(cons(sK24(sK55(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f934,f537]) ).
fof(f1312,plain,
! [X0] :
( nil = sK54(X0)
| sK18 = tl(cons(sK24(sK54(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f934,f536]) ).
fof(f1311,plain,
! [X0] :
( nil = sK53(X0)
| sK18 = tl(cons(sK24(sK53(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f934,f535]) ).
fof(f1310,plain,
! [X0] :
( nil = sK50(X0)
| sK18 = tl(cons(sK24(sK50(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f934,f525]) ).
fof(f1309,plain,
! [X0] :
( nil = sK49(X0)
| sK18 = tl(cons(sK24(sK49(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f934,f524]) ).
fof(f1308,plain,
! [X0] :
( nil = sK48(X0)
| sK18 = tl(cons(sK24(sK48(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f934,f523]) ).
fof(f1307,plain,
! [X0] :
( nil = sK45(X0)
| sK18 = tl(cons(sK24(sK45(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f934,f513]) ).
fof(f1306,plain,
! [X0] :
( nil = sK44(X0)
| sK18 = tl(cons(sK24(sK44(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f934,f512]) ).
fof(f1305,plain,
! [X0] :
( nil = sK43(X0)
| sK18 = tl(cons(sK24(sK43(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f934,f511]) ).
fof(f1304,plain,
! [X0] :
( nil = sK40(X0)
| sK18 = tl(cons(sK24(sK40(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f934,f501]) ).
fof(f1303,plain,
! [X0] :
( nil = sK39(X0)
| sK18 = tl(cons(sK24(sK39(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f934,f500]) ).
fof(f1302,plain,
! [X0] :
( nil = sK38(X0)
| sK18 = tl(cons(sK24(sK38(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f934,f499]) ).
fof(f1301,plain,
! [X0] :
( nil = sK35(X0)
| sK18 = tl(cons(sK24(sK35(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f934,f490]) ).
fof(f1300,plain,
! [X0] :
( nil = sK34(X0)
| sK18 = tl(cons(sK24(sK34(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f934,f489]) ).
fof(f1299,plain,
! [X0] :
( nil = sK33(X0)
| sK18 = tl(cons(sK24(sK33(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f934,f488]) ).
fof(f1298,plain,
! [X0] :
( nil = sK30(X0)
| sK18 = tl(cons(sK24(sK30(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f934,f479]) ).
fof(f1297,plain,
! [X0] :
( nil = sK29(X0)
| sK18 = tl(cons(sK24(sK29(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f934,f478]) ).
fof(f1296,plain,
! [X0] :
( nil = sK25(X0)
| sK18 = tl(cons(sK24(sK25(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f934,f468]) ).
fof(f1295,plain,
! [X0] :
( nil = sK22(X0)
| sK18 = tl(cons(sK24(sK22(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f934,f460]) ).
fof(f1290,plain,
! [X0] :
( nil = tl(X0)
| sK18 = tl(cons(sK24(tl(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f934,f464]) ).
fof(f1288,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK18 = tl(cons(sK24(app(X0,X1)),sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f934,f568]) ).
fof(f1323,plain,
! [X0,X1] :
( sK18 = tl(cons(sK24(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1287,f559]) ).
fof(f1287,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK18 = tl(cons(sK24(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f934,f558]) ).
fof(f934,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK18 = tl(cons(sK24(X0),sK18)) ),
inference(resolution,[],[f904,f466]) ).
fof(f1277,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1244,f683]) ).
fof(f1275,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK18 = tl(cons(sK23(sK66(X0,X1)),sK18))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f584]) ).
fof(f1274,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK18 = tl(cons(sK23(sK65(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f581]) ).
fof(f1273,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK18 = tl(cons(sK23(sK64(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f580]) ).
fof(f1272,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK18 = tl(cons(sK23(sK63(X0,X1)),sK18))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f577]) ).
fof(f1271,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK18 = tl(cons(sK23(sK62(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f565]) ).
fof(f1270,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK18 = tl(cons(sK23(sK61(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f564]) ).
fof(f1269,plain,
! [X0] :
( nil = sK60(X0)
| sK18 = tl(cons(sK23(sK60(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f933,f548]) ).
fof(f1268,plain,
! [X0] :
( nil = sK59(X0)
| sK18 = tl(cons(sK23(sK59(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f933,f547]) ).
fof(f1267,plain,
! [X0] :
( nil = sK58(X0)
| sK18 = tl(cons(sK23(sK58(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f933,f546]) ).
fof(f1266,plain,
! [X0] :
( nil = sK55(X0)
| sK18 = tl(cons(sK23(sK55(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f933,f537]) ).
fof(f1265,plain,
! [X0] :
( nil = sK54(X0)
| sK18 = tl(cons(sK23(sK54(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f933,f536]) ).
fof(f1264,plain,
! [X0] :
( nil = sK53(X0)
| sK18 = tl(cons(sK23(sK53(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f933,f535]) ).
fof(f1263,plain,
! [X0] :
( nil = sK50(X0)
| sK18 = tl(cons(sK23(sK50(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f933,f525]) ).
fof(f1262,plain,
! [X0] :
( nil = sK49(X0)
| sK18 = tl(cons(sK23(sK49(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f933,f524]) ).
fof(f1261,plain,
! [X0] :
( nil = sK48(X0)
| sK18 = tl(cons(sK23(sK48(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f933,f523]) ).
fof(f1260,plain,
! [X0] :
( nil = sK45(X0)
| sK18 = tl(cons(sK23(sK45(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f933,f513]) ).
fof(f1259,plain,
! [X0] :
( nil = sK44(X0)
| sK18 = tl(cons(sK23(sK44(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f933,f512]) ).
fof(f1258,plain,
! [X0] :
( nil = sK43(X0)
| sK18 = tl(cons(sK23(sK43(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f933,f511]) ).
fof(f1257,plain,
! [X0] :
( nil = sK40(X0)
| sK18 = tl(cons(sK23(sK40(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f933,f501]) ).
fof(f1256,plain,
! [X0] :
( nil = sK39(X0)
| sK18 = tl(cons(sK23(sK39(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f933,f500]) ).
fof(f1255,plain,
! [X0] :
( nil = sK38(X0)
| sK18 = tl(cons(sK23(sK38(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f933,f499]) ).
fof(f1254,plain,
! [X0] :
( nil = sK35(X0)
| sK18 = tl(cons(sK23(sK35(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f933,f490]) ).
fof(f1253,plain,
! [X0] :
( nil = sK34(X0)
| sK18 = tl(cons(sK23(sK34(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f933,f489]) ).
fof(f1252,plain,
! [X0] :
( nil = sK33(X0)
| sK18 = tl(cons(sK23(sK33(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f933,f488]) ).
fof(f1251,plain,
! [X0] :
( nil = sK30(X0)
| sK18 = tl(cons(sK23(sK30(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f933,f479]) ).
fof(f1250,plain,
! [X0] :
( nil = sK29(X0)
| sK18 = tl(cons(sK23(sK29(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f933,f478]) ).
fof(f1249,plain,
! [X0] :
( nil = sK25(X0)
| sK18 = tl(cons(sK23(sK25(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f933,f468]) ).
fof(f1248,plain,
! [X0] :
( nil = sK22(X0)
| sK18 = tl(cons(sK23(sK22(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f933,f460]) ).
fof(f1281,plain,
( sK18 = tl(cons(sK23(sK18),sK18))
| spl69_3 ),
inference(forward_demodulation,[],[f1280,f379]) ).
fof(f1280,plain,
( sK18 = tl(cons(sK23(sK20),sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1279,f683]) ).
fof(f1243,plain,
! [X0] :
( nil = tl(X0)
| sK18 = tl(cons(sK23(tl(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f933,f464]) ).
fof(f1241,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK18 = tl(cons(sK23(app(X0,X1)),sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f933,f568]) ).
fof(f1276,plain,
! [X0,X1] :
( sK18 = tl(cons(sK23(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1240,f559]) ).
fof(f1240,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK18 = tl(cons(sK23(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f933,f558]) ).
fof(f933,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK18 = tl(cons(sK23(X0),sK18)) ),
inference(resolution,[],[f904,f461]) ).
fof(f1221,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1188,f683]) ).
fof(f1236,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP0(cons(sK68,nil),X0)
| ~ totalorderedP(cons(sK68,nil))
| nil = cons(sK68,nil) ),
inference(superposition,[],[f439,f1149]) ).
fof(f1235,plain,
! [X0] :
( ~ leq(X0,sK67)
| sP0(cons(sK67,nil),X0)
| ~ totalorderedP(cons(sK67,nil))
| nil = cons(sK67,nil) ),
inference(superposition,[],[f439,f1148]) ).
fof(f1234,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP0(cons(sK68,sK19),X0)
| ~ totalorderedP(cons(sK68,sK19))
| nil = cons(sK68,sK19) ),
inference(superposition,[],[f439,f1053]) ).
fof(f1233,plain,
! [X0] :
( ~ leq(X0,sK67)
| sP0(cons(sK67,sK19),X0)
| ~ totalorderedP(cons(sK67,sK19))
| nil = cons(sK67,sK19) ),
inference(superposition,[],[f439,f1052]) ).
fof(f1232,plain,
! [X0] :
( ~ leq(X0,sK68)
| sP0(cons(sK68,sK18),X0)
| ~ totalorderedP(cons(sK68,sK18))
| nil = cons(sK68,sK18) ),
inference(superposition,[],[f439,f1027]) ).
fof(f1231,plain,
! [X0] :
( ~ leq(X0,sK67)
| sP0(cons(sK67,sK18),X0)
| ~ totalorderedP(cons(sK67,sK18))
| nil = cons(sK67,sK18) ),
inference(superposition,[],[f439,f1026]) ).
fof(f1230,plain,
! [X0] :
( sP0(X0,hd(X0))
| ~ totalorderedP(X0)
| nil = X0
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f439,f400]) ).
fof(f1219,plain,
! [X0,X1] :
( nil = sK66(X0,X1)
| sK18 = tl(cons(hd(sK66(X0,X1)),sK18))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f584]) ).
fof(f1218,plain,
! [X0,X1] :
( nil = sK65(X0,X1)
| sK18 = tl(cons(hd(sK65(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f581]) ).
fof(f1217,plain,
! [X0,X1] :
( nil = sK64(X0,X1)
| sK18 = tl(cons(hd(sK64(X0,X1)),sK18))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f580]) ).
fof(f1216,plain,
! [X0,X1] :
( nil = sK63(X0,X1)
| sK18 = tl(cons(hd(sK63(X0,X1)),sK18))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f577]) ).
fof(f1215,plain,
! [X0,X1] :
( nil = sK62(X0,X1)
| sK18 = tl(cons(hd(sK62(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f565]) ).
fof(f1214,plain,
! [X0,X1] :
( nil = sK61(X0,X1)
| sK18 = tl(cons(hd(sK61(X0,X1)),sK18))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f564]) ).
fof(f1213,plain,
! [X0] :
( nil = sK60(X0)
| sK18 = tl(cons(hd(sK60(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f932,f548]) ).
fof(f1212,plain,
! [X0] :
( nil = sK59(X0)
| sK18 = tl(cons(hd(sK59(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f932,f547]) ).
fof(f1211,plain,
! [X0] :
( nil = sK58(X0)
| sK18 = tl(cons(hd(sK58(X0)),sK18))
| sP16(X0) ),
inference(resolution,[],[f932,f546]) ).
fof(f1210,plain,
! [X0] :
( nil = sK55(X0)
| sK18 = tl(cons(hd(sK55(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f932,f537]) ).
fof(f1209,plain,
! [X0] :
( nil = sK54(X0)
| sK18 = tl(cons(hd(sK54(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f932,f536]) ).
fof(f1208,plain,
! [X0] :
( nil = sK53(X0)
| sK18 = tl(cons(hd(sK53(X0)),sK18))
| sP14(X0) ),
inference(resolution,[],[f932,f535]) ).
fof(f1207,plain,
! [X0] :
( nil = sK50(X0)
| sK18 = tl(cons(hd(sK50(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f932,f525]) ).
fof(f1206,plain,
! [X0] :
( nil = sK49(X0)
| sK18 = tl(cons(hd(sK49(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f932,f524]) ).
fof(f1205,plain,
! [X0] :
( nil = sK48(X0)
| sK18 = tl(cons(hd(sK48(X0)),sK18))
| sP12(X0) ),
inference(resolution,[],[f932,f523]) ).
fof(f1204,plain,
! [X0] :
( nil = sK45(X0)
| sK18 = tl(cons(hd(sK45(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f932,f513]) ).
fof(f1203,plain,
! [X0] :
( nil = sK44(X0)
| sK18 = tl(cons(hd(sK44(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f932,f512]) ).
fof(f1202,plain,
! [X0] :
( nil = sK43(X0)
| sK18 = tl(cons(hd(sK43(X0)),sK18))
| sP10(X0) ),
inference(resolution,[],[f932,f511]) ).
fof(f1201,plain,
! [X0] :
( nil = sK40(X0)
| sK18 = tl(cons(hd(sK40(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f932,f501]) ).
fof(f1200,plain,
! [X0] :
( nil = sK39(X0)
| sK18 = tl(cons(hd(sK39(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f932,f500]) ).
fof(f1199,plain,
! [X0] :
( nil = sK38(X0)
| sK18 = tl(cons(hd(sK38(X0)),sK18))
| sP8(X0) ),
inference(resolution,[],[f932,f499]) ).
fof(f1198,plain,
! [X0] :
( nil = sK35(X0)
| sK18 = tl(cons(hd(sK35(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f932,f490]) ).
fof(f1197,plain,
! [X0] :
( nil = sK34(X0)
| sK18 = tl(cons(hd(sK34(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f932,f489]) ).
fof(f1196,plain,
! [X0] :
( nil = sK33(X0)
| sK18 = tl(cons(hd(sK33(X0)),sK18))
| sP6(X0) ),
inference(resolution,[],[f932,f488]) ).
fof(f1195,plain,
! [X0] :
( nil = sK30(X0)
| sK18 = tl(cons(hd(sK30(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f932,f479]) ).
fof(f1194,plain,
! [X0] :
( nil = sK29(X0)
| sK18 = tl(cons(hd(sK29(X0)),sK18))
| sP4(X0) ),
inference(resolution,[],[f932,f478]) ).
fof(f1193,plain,
! [X0] :
( nil = sK25(X0)
| sK18 = tl(cons(hd(sK25(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f932,f468]) ).
fof(f1192,plain,
! [X0] :
( nil = sK22(X0)
| sK18 = tl(cons(hd(sK22(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f932,f460]) ).
fof(f1225,plain,
( sK18 = tl(cons(hd(sK18),sK18))
| spl69_3 ),
inference(forward_demodulation,[],[f1224,f379]) ).
fof(f1224,plain,
( sK18 = tl(cons(hd(sK20),sK18))
| spl69_3 ),
inference(subsumption_resolution,[],[f1223,f683]) ).
fof(f1187,plain,
! [X0] :
( nil = tl(X0)
| sK18 = tl(cons(hd(tl(X0)),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f932,f464]) ).
fof(f1185,plain,
! [X0,X1] :
( nil = app(X0,X1)
| sK18 = tl(cons(hd(app(X0,X1)),sK18))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f932,f568]) ).
fof(f1220,plain,
! [X0,X1] :
( sK18 = tl(cons(hd(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f1184,f559]) ).
fof(f1184,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| sK18 = tl(cons(hd(cons(X0,X1)),sK18))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f932,f558]) ).
fof(f932,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| sK18 = tl(cons(hd(X0),sK18)) ),
inference(resolution,[],[f904,f463]) ).
fof(f1183,plain,
! [X0] :
( nil = tl(cons(sK57(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1125,f673]) ).
fof(f1125,plain,
! [X0] :
( sP16(X0)
| nil = tl(cons(sK57(X0),nil)) ),
inference(resolution,[],[f902,f545]) ).
fof(f1182,plain,
! [X0] :
( nil = tl(cons(sK56(X0),nil))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1124,f673]) ).
fof(f1124,plain,
! [X0] :
( sP16(X0)
| nil = tl(cons(sK56(X0),nil)) ),
inference(resolution,[],[f902,f544]) ).
fof(f1181,plain,
! [X0] :
( nil = tl(cons(sK52(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1123,f671]) ).
fof(f1123,plain,
! [X0] :
( sP14(X0)
| nil = tl(cons(sK52(X0),nil)) ),
inference(resolution,[],[f902,f534]) ).
fof(f1180,plain,
! [X0] :
( nil = tl(cons(sK51(X0),nil))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1122,f671]) ).
fof(f1122,plain,
! [X0] :
( sP14(X0)
| nil = tl(cons(sK51(X0),nil)) ),
inference(resolution,[],[f902,f533]) ).
fof(f1121,plain,
! [X0] :
( sP12(X0)
| nil = tl(cons(sK47(X0),nil)) ),
inference(resolution,[],[f902,f522]) ).
fof(f1120,plain,
! [X0] :
( sP12(X0)
| nil = tl(cons(sK46(X0),nil)) ),
inference(resolution,[],[f902,f521]) ).
fof(f1119,plain,
! [X0] :
( sP10(X0)
| nil = tl(cons(sK42(X0),nil)) ),
inference(resolution,[],[f902,f510]) ).
fof(f1118,plain,
! [X0] :
( sP10(X0)
| nil = tl(cons(sK41(X0),nil)) ),
inference(resolution,[],[f902,f509]) ).
fof(f1117,plain,
! [X0] :
( sP8(X0)
| nil = tl(cons(sK37(X0),nil)) ),
inference(resolution,[],[f902,f498]) ).
fof(f1116,plain,
! [X0] :
( sP8(X0)
| nil = tl(cons(sK36(X0),nil)) ),
inference(resolution,[],[f902,f497]) ).
fof(f1179,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(sK66(X0,X1),nil) ),
inference(resolution,[],[f584,f458]) ).
fof(f1178,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK66(X0,X1) = app(nil,sK66(X0,X1)) ),
inference(resolution,[],[f584,f459]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| hd(sK66(X0,X1)) = sK24(sK66(X0,X1)) ),
inference(resolution,[],[f584,f467]) ).
fof(f1176,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK66(X0,X1)
| tl(sK66(X0,X1)) = sK25(sK66(X0,X1)) ),
inference(resolution,[],[f584,f469]) ).
fof(f1175,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK66(X0,X1) = tl(cons(X2,sK66(X0,X1))) ),
inference(resolution,[],[f584,f561]) ).
fof(f1174,plain,
! [X2,X0,X1] :
( ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK66(X0,X1))) = X2 ),
inference(resolution,[],[f584,f562]) ).
fof(f1115,plain,
! [X0] :
( sP6(X0)
| nil = tl(cons(sK32(X0),nil)) ),
inference(resolution,[],[f902,f487]) ).
fof(f1114,plain,
! [X0] :
( sP6(X0)
| nil = tl(cons(sK31(X0),nil)) ),
inference(resolution,[],[f902,f486]) ).
fof(f1113,plain,
! [X0] :
( sP4(X0)
| nil = tl(cons(sK28(X0),nil)) ),
inference(resolution,[],[f902,f477]) ).
fof(f1112,plain,
! [X0] :
( sP4(X0)
| nil = tl(cons(sK27(X0),nil)) ),
inference(resolution,[],[f902,f476]) ).
fof(f1173,plain,
! [X0,X1] :
( sK19 = tl(cons(sK57(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1081,f441]) ).
fof(f1081,plain,
! [X0] :
( strictorderedP(X0)
| sK19 = tl(cons(sK57(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f971,f673]) ).
fof(f1172,plain,
! [X0,X1] :
( sK19 = tl(cons(sK56(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1080,f441]) ).
fof(f1080,plain,
! [X0] :
( strictorderedP(X0)
| sK19 = tl(cons(sK56(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f970,f673]) ).
fof(f1171,plain,
! [X0,X1] :
( sK19 = tl(cons(sK52(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1079,f433]) ).
fof(f1079,plain,
! [X0] :
( totalorderedP(X0)
| sK19 = tl(cons(sK52(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f969,f671]) ).
fof(f1170,plain,
! [X0,X1] :
( sK19 = tl(cons(sK51(cons(X0,X1)),sK19))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1078,f433]) ).
fof(f1078,plain,
! [X0] :
( totalorderedP(X0)
| sK19 = tl(cons(sK51(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f968,f671]) ).
fof(f1169,plain,
! [X0,X1] :
( sK18 = tl(cons(sK57(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1071,f441]) ).
fof(f1071,plain,
! [X0] :
( strictorderedP(X0)
| sK18 = tl(cons(sK57(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f949,f673]) ).
fof(f1168,plain,
! [X0,X1] :
( sK18 = tl(cons(sK56(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(resolution,[],[f1070,f441]) ).
fof(f1070,plain,
! [X0] :
( strictorderedP(X0)
| sK18 = tl(cons(sK56(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f948,f673]) ).
fof(f1167,plain,
! [X0,X1] :
( sK18 = tl(cons(sK52(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1069,f433]) ).
fof(f1069,plain,
! [X0] :
( totalorderedP(X0)
| sK18 = tl(cons(sK52(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f947,f671]) ).
fof(f1166,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(sK65(X0,X1),nil) ),
inference(resolution,[],[f581,f458]) ).
fof(f1165,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK65(X0,X1) = app(nil,sK65(X0,X1)) ),
inference(resolution,[],[f581,f459]) ).
fof(f1164,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| hd(sK65(X0,X1)) = sK24(sK65(X0,X1)) ),
inference(resolution,[],[f581,f467]) ).
fof(f1163,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK65(X0,X1)
| tl(sK65(X0,X1)) = sK25(sK65(X0,X1)) ),
inference(resolution,[],[f581,f469]) ).
fof(f1162,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK65(X0,X1) = tl(cons(X2,sK65(X0,X1))) ),
inference(resolution,[],[f581,f561]) ).
fof(f1161,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK65(X0,X1))) = X2 ),
inference(resolution,[],[f581,f562]) ).
fof(f581,plain,
! [X0,X1] :
( ssList(sK65(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1160,plain,
! [X0,X1] :
( sK18 = tl(cons(sK51(cons(X0,X1)),sK18))
| ~ ssList(cons(X0,X1))
| sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(resolution,[],[f1068,f433]) ).
fof(f1068,plain,
! [X0] :
( totalorderedP(X0)
| sK18 = tl(cons(sK51(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f946,f671]) ).
fof(f1159,plain,
! [X0] :
( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1158]) ).
fof(f1158,plain,
! [X0] :
( sK19 = tl(cons(sK26(cons(X0,nil)),sK19))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f957,f613]) ).
fof(f957,plain,
! [X0] :
( ~ singletonP(X0)
| sK19 = tl(cons(sK26(X0),sK19))
| ~ ssList(X0) ),
inference(resolution,[],[f905,f470]) ).
fof(f1157,plain,
! [X0] :
( sK18 = tl(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0) ),
inference(duplicate_literal_removal,[],[f1156]) ).
fof(f1156,plain,
! [X0] :
( sK18 = tl(cons(sK26(cons(X0,nil)),sK18))
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f935,f613]) ).
fof(f935,plain,
! [X0] :
( ~ singletonP(X0)
| sK18 = tl(cons(sK26(X0),sK18))
| ~ ssList(X0) ),
inference(resolution,[],[f904,f470]) ).
fof(f1154,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,nil)
| ~ sP0(cons(sK68,nil),X0) ),
inference(superposition,[],[f437,f1149]) ).
fof(f1153,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,nil)
| ~ sP2(cons(sK68,nil),X0) ),
inference(superposition,[],[f445,f1149]) ).
fof(f1149,plain,
sK68 = hd(cons(sK68,nil)),
inference(resolution,[],[f976,f603]) ).
fof(f1151,plain,
! [X0] :
( leq(X0,sK67)
| nil = cons(sK67,nil)
| ~ sP0(cons(sK67,nil),X0) ),
inference(superposition,[],[f437,f1148]) ).
fof(f1150,plain,
! [X0] :
( lt(X0,sK67)
| nil = cons(sK67,nil)
| ~ sP2(cons(sK67,nil),X0) ),
inference(superposition,[],[f445,f1148]) ).
fof(f1148,plain,
sK67 = hd(cons(sK67,nil)),
inference(resolution,[],[f976,f602]) ).
fof(f1147,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f976,f545]) ).
fof(f1146,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),nil))
| sP16(X0) ),
inference(resolution,[],[f976,f544]) ).
fof(f1145,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f976,f534]) ).
fof(f1144,plain,
! [X0] :
( sK51(X0) = hd(cons(sK51(X0),nil))
| sP14(X0) ),
inference(resolution,[],[f976,f533]) ).
fof(f1143,plain,
! [X0] :
( sK47(X0) = hd(cons(sK47(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f976,f522]) ).
fof(f1142,plain,
! [X0] :
( sK46(X0) = hd(cons(sK46(X0),nil))
| sP12(X0) ),
inference(resolution,[],[f976,f521]) ).
fof(f1141,plain,
! [X0] :
( sK42(X0) = hd(cons(sK42(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f976,f510]) ).
fof(f1140,plain,
! [X0] :
( sK41(X0) = hd(cons(sK41(X0),nil))
| sP10(X0) ),
inference(resolution,[],[f976,f509]) ).
fof(f1139,plain,
! [X0] :
( sK37(X0) = hd(cons(sK37(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f976,f498]) ).
fof(f1138,plain,
! [X0] :
( sK36(X0) = hd(cons(sK36(X0),nil))
| sP8(X0) ),
inference(resolution,[],[f976,f497]) ).
fof(f1137,plain,
! [X0] :
( sK32(X0) = hd(cons(sK32(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f976,f487]) ).
fof(f1136,plain,
! [X0] :
( sK31(X0) = hd(cons(sK31(X0),nil))
| sP6(X0) ),
inference(resolution,[],[f976,f486]) ).
fof(f1135,plain,
! [X0] :
( sK28(X0) = hd(cons(sK28(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f976,f477]) ).
fof(f1134,plain,
! [X0] :
( sK27(X0) = hd(cons(sK27(X0),nil))
| sP4(X0) ),
inference(resolution,[],[f976,f476]) ).
fof(f1133,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f976,f470]) ).
fof(f1132,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f976,f466]) ).
fof(f1131,plain,
! [X0] :
( sK23(X0) = hd(cons(sK23(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f976,f461]) ).
fof(f1130,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f976,f463]) ).
fof(f976,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f562,f396]) ).
fof(f1127,plain,
nil = tl(cons(sK68,nil)),
inference(resolution,[],[f902,f603]) ).
fof(f1126,plain,
nil = tl(cons(sK67,nil)),
inference(resolution,[],[f902,f602]) ).
fof(f1111,plain,
! [X0] :
( nil = tl(cons(sK26(X0),nil))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f902,f470]) ).
fof(f1110,plain,
! [X0] :
( nil = tl(cons(sK24(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f902,f466]) ).
fof(f1109,plain,
! [X0] :
( nil = tl(cons(sK23(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f902,f461]) ).
fof(f1108,plain,
! [X0] :
( nil = tl(cons(hd(X0),nil))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f902,f463]) ).
fof(f902,plain,
! [X0] :
( ~ ssItem(X0)
| nil = tl(cons(X0,nil)) ),
inference(resolution,[],[f561,f396]) ).
fof(f1107,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1051,f673]) ).
fof(f1051,plain,
! [X0] :
( sP16(X0)
| sK57(X0) = hd(cons(sK57(X0),sK19)) ),
inference(resolution,[],[f979,f545]) ).
fof(f1106,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),sK19))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1050,f673]) ).
fof(f1050,plain,
! [X0] :
( sP16(X0)
| sK56(X0) = hd(cons(sK56(X0),sK19)) ),
inference(resolution,[],[f979,f544]) ).
fof(f1105,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(sK64(X0,X1),nil) ),
inference(resolution,[],[f580,f458]) ).
fof(f1104,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK64(X0,X1) = app(nil,sK64(X0,X1)) ),
inference(resolution,[],[f580,f459]) ).
fof(f1103,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| hd(sK64(X0,X1)) = sK24(sK64(X0,X1)) ),
inference(resolution,[],[f580,f467]) ).
fof(f1102,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK64(X0,X1)
| tl(sK64(X0,X1)) = sK25(sK64(X0,X1)) ),
inference(resolution,[],[f580,f469]) ).
fof(f1101,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK64(X0,X1) = tl(cons(X2,sK64(X0,X1))) ),
inference(resolution,[],[f580,f561]) ).
fof(f1100,plain,
! [X2,X0,X1] :
( ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK64(X0,X1))) = X2 ),
inference(resolution,[],[f580,f562]) ).
fof(f580,plain,
! [X0,X1] :
( ssList(sK64(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f1099,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1049,f671]) ).
fof(f1049,plain,
! [X0] :
( sP14(X0)
| sK52(X0) = hd(cons(sK52(X0),sK19)) ),
inference(resolution,[],[f979,f534]) ).
fof(f1098,plain,
! [X0] :
( sK51(X0) = hd(cons(sK51(X0),sK19))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1048,f671]) ).
fof(f1048,plain,
! [X0] :
( sP14(X0)
| sK51(X0) = hd(cons(sK51(X0),sK19)) ),
inference(resolution,[],[f979,f533]) ).
fof(f1047,plain,
! [X0] :
( sP12(X0)
| sK47(X0) = hd(cons(sK47(X0),sK19)) ),
inference(resolution,[],[f979,f522]) ).
fof(f1046,plain,
! [X0] :
( sP12(X0)
| sK46(X0) = hd(cons(sK46(X0),sK19)) ),
inference(resolution,[],[f979,f521]) ).
fof(f1045,plain,
! [X0] :
( sP10(X0)
| sK42(X0) = hd(cons(sK42(X0),sK19)) ),
inference(resolution,[],[f979,f510]) ).
fof(f1044,plain,
! [X0] :
( sP10(X0)
| sK41(X0) = hd(cons(sK41(X0),sK19)) ),
inference(resolution,[],[f979,f509]) ).
fof(f1043,plain,
! [X0] :
( sP8(X0)
| sK37(X0) = hd(cons(sK37(X0),sK19)) ),
inference(resolution,[],[f979,f498]) ).
fof(f1042,plain,
! [X0] :
( sP8(X0)
| sK36(X0) = hd(cons(sK36(X0),sK19)) ),
inference(resolution,[],[f979,f497]) ).
fof(f1041,plain,
! [X0] :
( sP6(X0)
| sK32(X0) = hd(cons(sK32(X0),sK19)) ),
inference(resolution,[],[f979,f487]) ).
fof(f1040,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = hd(cons(sK31(X0),sK19)) ),
inference(resolution,[],[f979,f486]) ).
fof(f1039,plain,
! [X0] :
( sP4(X0)
| sK28(X0) = hd(cons(sK28(X0),sK19)) ),
inference(resolution,[],[f979,f477]) ).
fof(f1097,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(sK63(X0,X1),nil) ),
inference(resolution,[],[f577,f458]) ).
fof(f1096,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| sK63(X0,X1) = app(nil,sK63(X0,X1)) ),
inference(resolution,[],[f577,f459]) ).
fof(f1095,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| hd(sK63(X0,X1)) = sK24(sK63(X0,X1)) ),
inference(resolution,[],[f577,f467]) ).
fof(f1094,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| nil = sK63(X0,X1)
| tl(sK63(X0,X1)) = sK25(sK63(X0,X1)) ),
inference(resolution,[],[f577,f469]) ).
fof(f1093,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK63(X0,X1) = tl(cons(X2,sK63(X0,X1))) ),
inference(resolution,[],[f577,f561]) ).
fof(f1092,plain,
! [X2,X0,X1] :
( ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK63(X0,X1))) = X2 ),
inference(resolution,[],[f577,f562]) ).
fof(f1038,plain,
! [X0] :
( sP4(X0)
| sK27(X0) = hd(cons(sK27(X0),sK19)) ),
inference(resolution,[],[f979,f476]) ).
fof(f1091,plain,
! [X0] :
( sK57(X0) = hd(cons(sK57(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1025,f673]) ).
fof(f1025,plain,
! [X0] :
( sP16(X0)
| sK57(X0) = hd(cons(sK57(X0),sK18)) ),
inference(resolution,[],[f978,f545]) ).
fof(f1090,plain,
! [X0] :
( sK56(X0) = hd(cons(sK56(X0),sK18))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1024,f673]) ).
fof(f1024,plain,
! [X0] :
( sP16(X0)
| sK56(X0) = hd(cons(sK56(X0),sK18)) ),
inference(resolution,[],[f978,f544]) ).
fof(f1089,plain,
! [X0] :
( sK52(X0) = hd(cons(sK52(X0),sK18))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1023,f671]) ).
fof(f1023,plain,
! [X0] :
( sP14(X0)
| sK52(X0) = hd(cons(sK52(X0),sK18)) ),
inference(resolution,[],[f978,f534]) ).
fof(f1088,plain,
! [X0] :
( sK51(X0) = hd(cons(sK51(X0),sK18))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f1022,f671]) ).
fof(f1022,plain,
! [X0] :
( sP14(X0)
| sK51(X0) = hd(cons(sK51(X0),sK18)) ),
inference(resolution,[],[f978,f533]) ).
fof(f1021,plain,
! [X0] :
( sP12(X0)
| sK47(X0) = hd(cons(sK47(X0),sK18)) ),
inference(resolution,[],[f978,f522]) ).
fof(f1020,plain,
! [X0] :
( sP12(X0)
| sK46(X0) = hd(cons(sK46(X0),sK18)) ),
inference(resolution,[],[f978,f521]) ).
fof(f1019,plain,
! [X0] :
( sP10(X0)
| sK42(X0) = hd(cons(sK42(X0),sK18)) ),
inference(resolution,[],[f978,f510]) ).
fof(f1018,plain,
! [X0] :
( sP10(X0)
| sK41(X0) = hd(cons(sK41(X0),sK18)) ),
inference(resolution,[],[f978,f509]) ).
fof(f1017,plain,
! [X0] :
( sP8(X0)
| sK37(X0) = hd(cons(sK37(X0),sK18)) ),
inference(resolution,[],[f978,f498]) ).
fof(f1016,plain,
! [X0] :
( sP8(X0)
| sK36(X0) = hd(cons(sK36(X0),sK18)) ),
inference(resolution,[],[f978,f497]) ).
fof(f1087,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK62(X0,X1) = app(sK62(X0,X1),nil) ),
inference(resolution,[],[f565,f458]) ).
fof(f1086,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK62(X0,X1) = app(nil,sK62(X0,X1)) ),
inference(resolution,[],[f565,f459]) ).
fof(f1085,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK62(X0,X1)
| hd(sK62(X0,X1)) = sK24(sK62(X0,X1)) ),
inference(resolution,[],[f565,f467]) ).
fof(f1084,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK62(X0,X1)
| tl(sK62(X0,X1)) = sK25(sK62(X0,X1)) ),
inference(resolution,[],[f565,f469]) ).
fof(f1083,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK62(X0,X1) = tl(cons(X2,sK62(X0,X1))) ),
inference(resolution,[],[f565,f561]) ).
fof(f1082,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK62(X0,X1))) = X2 ),
inference(resolution,[],[f565,f562]) ).
fof(f565,plain,
! [X0,X1] :
( ssList(sK62(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f354,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
& ssList(sK62(X0,X1))
& ssList(sK61(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK61,sK62])],[f351,f353,f352]) ).
fof(f352,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK61(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK61(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f353,plain,
! [X0,X1] :
( ? [X5] :
( app(sK61(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
& ssList(sK62(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f351,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,[],[f350]) ).
fof(f350,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(f1015,plain,
! [X0] :
( sP6(X0)
| sK32(X0) = hd(cons(sK32(X0),sK18)) ),
inference(resolution,[],[f978,f487]) ).
fof(f1014,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = hd(cons(sK31(X0),sK18)) ),
inference(resolution,[],[f978,f486]) ).
fof(f1013,plain,
! [X0] :
( sP4(X0)
| sK28(X0) = hd(cons(sK28(X0),sK18)) ),
inference(resolution,[],[f978,f477]) ).
fof(f1012,plain,
! [X0] :
( sP4(X0)
| sK27(X0) = hd(cons(sK27(X0),sK18)) ),
inference(resolution,[],[f978,f476]) ).
fof(f971,plain,
! [X0] :
( sP16(X0)
| sK19 = tl(cons(sK57(X0),sK19)) ),
inference(resolution,[],[f905,f545]) ).
fof(f970,plain,
! [X0] :
( sP16(X0)
| sK19 = tl(cons(sK56(X0),sK19)) ),
inference(resolution,[],[f905,f544]) ).
fof(f969,plain,
! [X0] :
( sP14(X0)
| sK19 = tl(cons(sK52(X0),sK19)) ),
inference(resolution,[],[f905,f534]) ).
fof(f968,plain,
! [X0] :
( sP14(X0)
| sK19 = tl(cons(sK51(X0),sK19)) ),
inference(resolution,[],[f905,f533]) ).
fof(f967,plain,
! [X0] :
( sP12(X0)
| sK19 = tl(cons(sK47(X0),sK19)) ),
inference(resolution,[],[f905,f522]) ).
fof(f966,plain,
! [X0] :
( sP12(X0)
| sK19 = tl(cons(sK46(X0),sK19)) ),
inference(resolution,[],[f905,f521]) ).
fof(f965,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK42(X0),sK19)) ),
inference(resolution,[],[f905,f510]) ).
fof(f1077,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK61(X0,X1) = app(sK61(X0,X1),nil) ),
inference(resolution,[],[f564,f458]) ).
fof(f1076,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| sK61(X0,X1) = app(nil,sK61(X0,X1)) ),
inference(resolution,[],[f564,f459]) ).
fof(f1075,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK61(X0,X1)
| hd(sK61(X0,X1)) = sK24(sK61(X0,X1)) ),
inference(resolution,[],[f564,f467]) ).
fof(f1074,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| nil = sK61(X0,X1)
| tl(sK61(X0,X1)) = sK25(sK61(X0,X1)) ),
inference(resolution,[],[f564,f469]) ).
fof(f1073,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| sK61(X0,X1) = tl(cons(X2,sK61(X0,X1))) ),
inference(resolution,[],[f564,f561]) ).
fof(f1072,plain,
! [X2,X0,X1] :
( ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0)
| ~ ssItem(X2)
| hd(cons(X2,sK61(X0,X1))) = X2 ),
inference(resolution,[],[f564,f562]) ).
fof(f564,plain,
! [X0,X1] :
( ssList(sK61(X0,X1))
| ~ memberP(X0,X1)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f964,plain,
! [X0] :
( sP10(X0)
| sK19 = tl(cons(sK41(X0),sK19)) ),
inference(resolution,[],[f905,f509]) ).
fof(f963,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK37(X0),sK19)) ),
inference(resolution,[],[f905,f498]) ).
fof(f962,plain,
! [X0] :
( sP8(X0)
| sK19 = tl(cons(sK36(X0),sK19)) ),
inference(resolution,[],[f905,f497]) ).
fof(f961,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK32(X0),sK19)) ),
inference(resolution,[],[f905,f487]) ).
fof(f960,plain,
! [X0] :
( sP6(X0)
| sK19 = tl(cons(sK31(X0),sK19)) ),
inference(resolution,[],[f905,f486]) ).
fof(f959,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK28(X0),sK19)) ),
inference(resolution,[],[f905,f477]) ).
fof(f958,plain,
! [X0] :
( sP4(X0)
| sK19 = tl(cons(sK27(X0),sK19)) ),
inference(resolution,[],[f905,f476]) ).
fof(f949,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK57(X0),sK18)) ),
inference(resolution,[],[f904,f545]) ).
fof(f948,plain,
! [X0] :
( sP16(X0)
| sK18 = tl(cons(sK56(X0),sK18)) ),
inference(resolution,[],[f904,f544]) ).
fof(f947,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK52(X0),sK18)) ),
inference(resolution,[],[f904,f534]) ).
fof(f946,plain,
! [X0] :
( sP14(X0)
| sK18 = tl(cons(sK51(X0),sK18)) ),
inference(resolution,[],[f904,f533]) ).
fof(f1067,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK26(cons(X0,nil)),nil) ),
inference(duplicate_literal_removal,[],[f1066]) ).
fof(f1066,plain,
! [X0] :
( ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| cons(X0,nil) = cons(sK26(cons(X0,nil)),nil)
| ~ ssList(cons(X0,nil)) ),
inference(resolution,[],[f613,f471]) ).
fof(f945,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK47(X0),sK18)) ),
inference(resolution,[],[f904,f522]) ).
fof(f944,plain,
! [X0] :
( sP12(X0)
| sK18 = tl(cons(sK46(X0),sK18)) ),
inference(resolution,[],[f904,f521]) ).
fof(f943,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK42(X0),sK18)) ),
inference(resolution,[],[f904,f510]) ).
fof(f942,plain,
! [X0] :
( sP10(X0)
| sK18 = tl(cons(sK41(X0),sK18)) ),
inference(resolution,[],[f904,f509]) ).
fof(f941,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK37(X0),sK18)) ),
inference(resolution,[],[f904,f498]) ).
fof(f940,plain,
! [X0] :
( sP8(X0)
| sK18 = tl(cons(sK36(X0),sK18)) ),
inference(resolution,[],[f904,f497]) ).
fof(f939,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK32(X0),sK18)) ),
inference(resolution,[],[f904,f487]) ).
fof(f938,plain,
! [X0] :
( sP6(X0)
| sK18 = tl(cons(sK31(X0),sK18)) ),
inference(resolution,[],[f904,f486]) ).
fof(f937,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK28(X0),sK18)) ),
inference(resolution,[],[f904,f477]) ).
fof(f936,plain,
! [X0] :
( sP4(X0)
| sK18 = tl(cons(sK27(X0),sK18)) ),
inference(resolution,[],[f904,f476]) ).
fof(f576,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f355,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(f1058,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK19)
| ~ sP0(cons(sK68,sK19),X0) ),
inference(superposition,[],[f437,f1053]) ).
fof(f1057,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK19)
| ~ sP2(cons(sK68,sK19),X0) ),
inference(superposition,[],[f445,f1053]) ).
fof(f1053,plain,
sK68 = hd(cons(sK68,sK19)),
inference(resolution,[],[f979,f603]) ).
fof(f1055,plain,
! [X0] :
( leq(X0,sK67)
| nil = cons(sK67,sK19)
| ~ sP0(cons(sK67,sK19),X0) ),
inference(superposition,[],[f437,f1052]) ).
fof(f1054,plain,
! [X0] :
( lt(X0,sK67)
| nil = cons(sK67,sK19)
| ~ sP2(cons(sK67,sK19),X0) ),
inference(superposition,[],[f445,f1052]) ).
fof(f1052,plain,
sK67 = hd(cons(sK67,sK19)),
inference(resolution,[],[f979,f602]) ).
fof(f1037,plain,
! [X0] :
( sK26(X0) = hd(cons(sK26(X0),sK19))
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f979,f470]) ).
fof(f1036,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f979,f466]) ).
fof(f1035,plain,
! [X0] :
( sK23(X0) = hd(cons(sK23(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f979,f461]) ).
fof(f1034,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK19))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f979,f463]) ).
fof(f979,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK19)) = X0 ),
inference(resolution,[],[f562,f375]) ).
fof(f1032,plain,
! [X0] :
( leq(X0,sK68)
| nil = cons(sK68,sK18)
| ~ sP0(cons(sK68,sK18),X0) ),
inference(superposition,[],[f437,f1027]) ).
fof(f1031,plain,
! [X0] :
( lt(X0,sK68)
| nil = cons(sK68,sK18)
| ~ sP2(cons(sK68,sK18),X0) ),
inference(superposition,[],[f445,f1027]) ).
fof(f1027,plain,
sK68 = hd(cons(sK68,sK18)),
inference(resolution,[],[f978,f603]) ).
fof(f1029,plain,
! [X0] :
( leq(X0,sK67)
| nil = cons(sK67,sK18)
| ~ sP0(cons(sK67,sK18),X0) ),
inference(superposition,[],[f437,f1026]) ).
fof(f1028,plain,
! [X0] :
( lt(X0,sK67)
| nil = cons(sK67,sK18)
| ~ sP2(cons(sK67,sK18),X0) ),
inference(superposition,[],[f445,f1026]) ).
fof(f1026,plain,
sK67 = hd(cons(sK67,sK18)),
inference(resolution,[],[f978,f602]) ).
fof(f1010,plain,
! [X0] :
( sK24(X0) = hd(cons(sK24(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f978,f466]) ).
fof(f1009,plain,
! [X0] :
( sK23(X0) = hd(cons(sK23(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f978,f461]) ).
fof(f1008,plain,
! [X0] :
( hd(X0) = hd(cons(hd(X0),sK18))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f978,f463]) ).
fof(f978,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK18)) = X0 ),
inference(resolution,[],[f562,f374]) ).
fof(f973,plain,
sK19 = tl(cons(sK68,sK19)),
inference(resolution,[],[f905,f603]) ).
fof(f972,plain,
sK19 = tl(cons(sK67,sK19)),
inference(resolution,[],[f905,f602]) ).
fof(f1003,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK60(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f562,f548]) ).
fof(f1002,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK59(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f562,f547]) ).
fof(f1001,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK58(X1))) = X0
| sP16(X1) ),
inference(resolution,[],[f562,f546]) ).
fof(f1000,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK55(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f562,f537]) ).
fof(f999,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK54(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f562,f536]) ).
fof(f998,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK53(X1))) = X0
| sP14(X1) ),
inference(resolution,[],[f562,f535]) ).
fof(f997,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK50(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f562,f525]) ).
fof(f996,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK49(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f562,f524]) ).
fof(f995,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK48(X1))) = X0
| sP12(X1) ),
inference(resolution,[],[f562,f523]) ).
fof(f994,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK45(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f562,f513]) ).
fof(f993,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK44(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f562,f512]) ).
fof(f992,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK43(X1))) = X0
| sP10(X1) ),
inference(resolution,[],[f562,f511]) ).
fof(f991,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK40(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f562,f501]) ).
fof(f990,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK39(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f562,f500]) ).
fof(f989,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK38(X1))) = X0
| sP8(X1) ),
inference(resolution,[],[f562,f499]) ).
fof(f988,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK35(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f562,f490]) ).
fof(f987,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK34(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f562,f489]) ).
fof(f986,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK33(X1))) = X0
| sP6(X1) ),
inference(resolution,[],[f562,f488]) ).
fof(f985,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK30(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f562,f479]) ).
fof(f984,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK29(X1))) = X0
| sP4(X1) ),
inference(resolution,[],[f562,f478]) ).
fof(f983,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK25(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f468]) ).
fof(f982,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f460]) ).
fof(f1005,plain,
! [X0] :
( hd(cons(X0,sK19)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f981,f378]) ).
fof(f981,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK21)) = X0 ),
inference(resolution,[],[f562,f377]) ).
fof(f1004,plain,
! [X0] :
( hd(cons(X0,sK18)) = X0
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f980,f379]) ).
fof(f980,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK20)) = X0 ),
inference(resolution,[],[f562,f376]) ).
fof(f977,plain,
! [X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,tl(X1))) = X0
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f562,f464]) ).
fof(f975,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,app(X1,X2))) = X0
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f562,f568]) ).
fof(f974,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| hd(cons(X0,cons(X1,X2))) = X0
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f562,f558]) ).
fof(f905,plain,
! [X0] :
( ~ ssItem(X0)
| sK19 = tl(cons(X0,sK19)) ),
inference(resolution,[],[f561,f375]) ).
fof(f951,plain,
sK18 = tl(cons(sK68,sK18)),
inference(resolution,[],[f904,f603]) ).
fof(f950,plain,
sK18 = tl(cons(sK67,sK18)),
inference(resolution,[],[f904,f602]) ).
fof(f904,plain,
! [X0] :
( ~ ssItem(X0)
| sK18 = tl(cons(X0,sK18)) ),
inference(resolution,[],[f561,f374]) ).
fof(f929,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK60(X1) = tl(cons(X0,sK60(X1)))
| sP16(X1) ),
inference(resolution,[],[f561,f548]) ).
fof(f928,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK59(X1) = tl(cons(X0,sK59(X1)))
| sP16(X1) ),
inference(resolution,[],[f561,f547]) ).
fof(f927,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK58(X1) = tl(cons(X0,sK58(X1)))
| sP16(X1) ),
inference(resolution,[],[f561,f546]) ).
fof(f926,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK55(X1) = tl(cons(X0,sK55(X1)))
| sP14(X1) ),
inference(resolution,[],[f561,f537]) ).
fof(f925,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK54(X1) = tl(cons(X0,sK54(X1)))
| sP14(X1) ),
inference(resolution,[],[f561,f536]) ).
fof(f924,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK53(X1) = tl(cons(X0,sK53(X1)))
| sP14(X1) ),
inference(resolution,[],[f561,f535]) ).
fof(f923,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK50(X1) = tl(cons(X0,sK50(X1)))
| sP12(X1) ),
inference(resolution,[],[f561,f525]) ).
fof(f922,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK49(X1) = tl(cons(X0,sK49(X1)))
| sP12(X1) ),
inference(resolution,[],[f561,f524]) ).
fof(f921,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK48(X1) = tl(cons(X0,sK48(X1)))
| sP12(X1) ),
inference(resolution,[],[f561,f523]) ).
fof(f920,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK45(X1) = tl(cons(X0,sK45(X1)))
| sP10(X1) ),
inference(resolution,[],[f561,f513]) ).
fof(f919,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK44(X1) = tl(cons(X0,sK44(X1)))
| sP10(X1) ),
inference(resolution,[],[f561,f512]) ).
fof(f918,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK43(X1) = tl(cons(X0,sK43(X1)))
| sP10(X1) ),
inference(resolution,[],[f561,f511]) ).
fof(f917,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK40(X1) = tl(cons(X0,sK40(X1)))
| sP8(X1) ),
inference(resolution,[],[f561,f501]) ).
fof(f916,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK39(X1) = tl(cons(X0,sK39(X1)))
| sP8(X1) ),
inference(resolution,[],[f561,f500]) ).
fof(f915,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK38(X1) = tl(cons(X0,sK38(X1)))
| sP8(X1) ),
inference(resolution,[],[f561,f499]) ).
fof(f914,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK35(X1) = tl(cons(X0,sK35(X1)))
| sP6(X1) ),
inference(resolution,[],[f561,f490]) ).
fof(f913,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK34(X1) = tl(cons(X0,sK34(X1)))
| sP6(X1) ),
inference(resolution,[],[f561,f489]) ).
fof(f912,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK33(X1) = tl(cons(X0,sK33(X1)))
| sP6(X1) ),
inference(resolution,[],[f561,f488]) ).
fof(f911,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK30(X1) = tl(cons(X0,sK30(X1)))
| sP4(X1) ),
inference(resolution,[],[f561,f479]) ).
fof(f910,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK29(X1) = tl(cons(X0,sK29(X1)))
| sP4(X1) ),
inference(resolution,[],[f561,f478]) ).
fof(f909,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK25(X1) = tl(cons(X0,sK25(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f561,f468]) ).
fof(f908,plain,
! [X0,X1] :
( ~ ssItem(X0)
| sK22(X1) = tl(cons(X0,sK22(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f561,f460]) ).
fof(f931,plain,
! [X0] :
( sK19 = tl(cons(X0,sK19))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f907,f378]) ).
fof(f907,plain,
! [X0] :
( ~ ssItem(X0)
| sK21 = tl(cons(X0,sK21)) ),
inference(resolution,[],[f561,f377]) ).
fof(f930,plain,
! [X0] :
( sK18 = tl(cons(X0,sK18))
| ~ ssItem(X0) ),
inference(forward_demodulation,[],[f906,f379]) ).
fof(f906,plain,
! [X0] :
( ~ ssItem(X0)
| sK20 = tl(cons(X0,sK20)) ),
inference(resolution,[],[f561,f376]) ).
fof(f903,plain,
! [X0,X1] :
( ~ ssItem(X0)
| tl(X1) = tl(cons(X0,tl(X1)))
| nil = X1
| ~ ssList(X1) ),
inference(resolution,[],[f561,f464]) ).
fof(f901,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| app(X1,X2) = tl(cons(X0,app(X1,X2)))
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(resolution,[],[f561,f568]) ).
fof(f900,plain,
! [X2,X0,X1] :
( ~ ssItem(X0)
| cons(X1,X2) = tl(cons(X0,cons(X1,X2)))
| ~ ssItem(X1)
| ~ ssList(X2) ),
inference(resolution,[],[f561,f558]) ).
fof(f890,plain,
( tl(sK18) = sK25(sK18)
| spl69_3 ),
inference(subsumption_resolution,[],[f863,f683]) ).
fof(f888,plain,
! [X0] :
( nil = sK60(X0)
| tl(sK60(X0)) = sK25(sK60(X0))
| sP16(X0) ),
inference(resolution,[],[f469,f548]) ).
fof(f887,plain,
! [X0] :
( nil = sK59(X0)
| tl(sK59(X0)) = sK25(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f469,f547]) ).
fof(f886,plain,
! [X0] :
( nil = sK58(X0)
| tl(sK58(X0)) = sK25(sK58(X0))
| sP16(X0) ),
inference(resolution,[],[f469,f546]) ).
fof(f885,plain,
! [X0] :
( nil = sK55(X0)
| tl(sK55(X0)) = sK25(sK55(X0))
| sP14(X0) ),
inference(resolution,[],[f469,f537]) ).
fof(f884,plain,
! [X0] :
( nil = sK54(X0)
| tl(sK54(X0)) = sK25(sK54(X0))
| sP14(X0) ),
inference(resolution,[],[f469,f536]) ).
fof(f883,plain,
! [X0] :
( nil = sK53(X0)
| tl(sK53(X0)) = sK25(sK53(X0))
| sP14(X0) ),
inference(resolution,[],[f469,f535]) ).
fof(f882,plain,
! [X0] :
( nil = sK50(X0)
| tl(sK50(X0)) = sK25(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f469,f525]) ).
fof(f881,plain,
! [X0] :
( nil = sK49(X0)
| tl(sK49(X0)) = sK25(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f469,f524]) ).
fof(f880,plain,
! [X0] :
( nil = sK48(X0)
| tl(sK48(X0)) = sK25(sK48(X0))
| sP12(X0) ),
inference(resolution,[],[f469,f523]) ).
fof(f879,plain,
! [X0] :
( nil = sK45(X0)
| tl(sK45(X0)) = sK25(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f469,f513]) ).
fof(f878,plain,
! [X0] :
( nil = sK44(X0)
| tl(sK44(X0)) = sK25(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f469,f512]) ).
fof(f877,plain,
! [X0] :
( nil = sK43(X0)
| tl(sK43(X0)) = sK25(sK43(X0))
| sP10(X0) ),
inference(resolution,[],[f469,f511]) ).
fof(f876,plain,
! [X0] :
( nil = sK40(X0)
| tl(sK40(X0)) = sK25(sK40(X0))
| sP8(X0) ),
inference(resolution,[],[f469,f501]) ).
fof(f875,plain,
! [X0] :
( nil = sK39(X0)
| tl(sK39(X0)) = sK25(sK39(X0))
| sP8(X0) ),
inference(resolution,[],[f469,f500]) ).
fof(f874,plain,
! [X0] :
( nil = sK38(X0)
| tl(sK38(X0)) = sK25(sK38(X0))
| sP8(X0) ),
inference(resolution,[],[f469,f499]) ).
fof(f873,plain,
! [X0] :
( nil = sK35(X0)
| tl(sK35(X0)) = sK25(sK35(X0))
| sP6(X0) ),
inference(resolution,[],[f469,f490]) ).
fof(f872,plain,
! [X0] :
( nil = sK34(X0)
| tl(sK34(X0)) = sK25(sK34(X0))
| sP6(X0) ),
inference(resolution,[],[f469,f489]) ).
fof(f871,plain,
! [X0] :
( nil = sK33(X0)
| tl(sK33(X0)) = sK25(sK33(X0))
| sP6(X0) ),
inference(resolution,[],[f469,f488]) ).
fof(f870,plain,
! [X0] :
( nil = sK30(X0)
| tl(sK30(X0)) = sK25(sK30(X0))
| sP4(X0) ),
inference(resolution,[],[f469,f479]) ).
fof(f869,plain,
! [X0] :
( nil = sK29(X0)
| tl(sK29(X0)) = sK25(sK29(X0))
| sP4(X0) ),
inference(resolution,[],[f469,f478]) ).
fof(f868,plain,
! [X0] :
( nil = sK25(X0)
| tl(sK25(X0)) = sK25(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f469,f468]) ).
fof(f867,plain,
! [X0] :
( nil = sK22(X0)
| tl(sK22(X0)) = sK25(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f469,f460]) ).
fof(f894,plain,
( tl(sK18) = sK25(sK18)
| spl69_3 ),
inference(forward_demodulation,[],[f893,f379]) ).
fof(f893,plain,
( tl(sK20) = sK25(sK20)
| spl69_3 ),
inference(subsumption_resolution,[],[f892,f683]) ).
fof(f862,plain,
! [X0] :
( nil = tl(X0)
| tl(tl(X0)) = sK25(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f469,f464]) ).
fof(f860,plain,
! [X0,X1] :
( nil = app(X0,X1)
| tl(app(X0,X1)) = sK25(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f469,f568]) ).
fof(f889,plain,
! [X0,X1] :
( tl(cons(X0,X1)) = sK25(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f859,f559]) ).
fof(f859,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| tl(cons(X0,X1)) = sK25(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f469,f558]) ).
fof(f849,plain,
( hd(sK18) = sK24(sK18)
| spl69_3 ),
inference(subsumption_resolution,[],[f822,f683]) ).
fof(f847,plain,
! [X0] :
( nil = sK60(X0)
| hd(sK60(X0)) = sK24(sK60(X0))
| sP16(X0) ),
inference(resolution,[],[f467,f548]) ).
fof(f846,plain,
! [X0] :
( nil = sK59(X0)
| hd(sK59(X0)) = sK24(sK59(X0))
| sP16(X0) ),
inference(resolution,[],[f467,f547]) ).
fof(f845,plain,
! [X0] :
( nil = sK58(X0)
| hd(sK58(X0)) = sK24(sK58(X0))
| sP16(X0) ),
inference(resolution,[],[f467,f546]) ).
fof(f844,plain,
! [X0] :
( nil = sK55(X0)
| hd(sK55(X0)) = sK24(sK55(X0))
| sP14(X0) ),
inference(resolution,[],[f467,f537]) ).
fof(f843,plain,
! [X0] :
( nil = sK54(X0)
| hd(sK54(X0)) = sK24(sK54(X0))
| sP14(X0) ),
inference(resolution,[],[f467,f536]) ).
fof(f842,plain,
! [X0] :
( nil = sK53(X0)
| hd(sK53(X0)) = sK24(sK53(X0))
| sP14(X0) ),
inference(resolution,[],[f467,f535]) ).
fof(f841,plain,
! [X0] :
( nil = sK50(X0)
| hd(sK50(X0)) = sK24(sK50(X0))
| sP12(X0) ),
inference(resolution,[],[f467,f525]) ).
fof(f840,plain,
! [X0] :
( nil = sK49(X0)
| hd(sK49(X0)) = sK24(sK49(X0))
| sP12(X0) ),
inference(resolution,[],[f467,f524]) ).
fof(f839,plain,
! [X0] :
( nil = sK48(X0)
| hd(sK48(X0)) = sK24(sK48(X0))
| sP12(X0) ),
inference(resolution,[],[f467,f523]) ).
fof(f838,plain,
! [X0] :
( nil = sK45(X0)
| hd(sK45(X0)) = sK24(sK45(X0))
| sP10(X0) ),
inference(resolution,[],[f467,f513]) ).
fof(f837,plain,
! [X0] :
( nil = sK44(X0)
| hd(sK44(X0)) = sK24(sK44(X0))
| sP10(X0) ),
inference(resolution,[],[f467,f512]) ).
fof(f836,plain,
! [X0] :
( nil = sK43(X0)
| hd(sK43(X0)) = sK24(sK43(X0))
| sP10(X0) ),
inference(resolution,[],[f467,f511]) ).
fof(f835,plain,
! [X0] :
( nil = sK40(X0)
| hd(sK40(X0)) = sK24(sK40(X0))
| sP8(X0) ),
inference(resolution,[],[f467,f501]) ).
fof(f834,plain,
! [X0] :
( nil = sK39(X0)
| hd(sK39(X0)) = sK24(sK39(X0))
| sP8(X0) ),
inference(resolution,[],[f467,f500]) ).
fof(f833,plain,
! [X0] :
( nil = sK38(X0)
| hd(sK38(X0)) = sK24(sK38(X0))
| sP8(X0) ),
inference(resolution,[],[f467,f499]) ).
fof(f832,plain,
! [X0] :
( nil = sK35(X0)
| hd(sK35(X0)) = sK24(sK35(X0))
| sP6(X0) ),
inference(resolution,[],[f467,f490]) ).
fof(f831,plain,
! [X0] :
( nil = sK34(X0)
| hd(sK34(X0)) = sK24(sK34(X0))
| sP6(X0) ),
inference(resolution,[],[f467,f489]) ).
fof(f830,plain,
! [X0] :
( nil = sK33(X0)
| hd(sK33(X0)) = sK24(sK33(X0))
| sP6(X0) ),
inference(resolution,[],[f467,f488]) ).
fof(f829,plain,
! [X0] :
( nil = sK30(X0)
| hd(sK30(X0)) = sK24(sK30(X0))
| sP4(X0) ),
inference(resolution,[],[f467,f479]) ).
fof(f828,plain,
! [X0] :
( nil = sK29(X0)
| hd(sK29(X0)) = sK24(sK29(X0))
| sP4(X0) ),
inference(resolution,[],[f467,f478]) ).
fof(f827,plain,
! [X0] :
( nil = sK25(X0)
| hd(sK25(X0)) = sK24(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f467,f468]) ).
fof(f826,plain,
! [X0] :
( nil = sK22(X0)
| hd(sK22(X0)) = sK24(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f467,f460]) ).
fof(f853,plain,
( hd(sK18) = sK24(sK18)
| spl69_3 ),
inference(forward_demodulation,[],[f852,f379]) ).
fof(f852,plain,
( hd(sK20) = sK24(sK20)
| spl69_3 ),
inference(subsumption_resolution,[],[f851,f683]) ).
fof(f821,plain,
! [X0] :
( nil = tl(X0)
| hd(tl(X0)) = sK24(tl(X0))
| nil = X0
| ~ ssList(X0) ),
inference(resolution,[],[f467,f464]) ).
fof(f819,plain,
! [X0,X1] :
( nil = app(X0,X1)
| hd(app(X0,X1)) = sK24(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(resolution,[],[f467,f568]) ).
fof(f848,plain,
! [X0,X1] :
( hd(cons(X0,X1)) = sK24(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f818,f559]) ).
fof(f818,plain,
! [X0,X1] :
( nil = cons(X0,X1)
| hd(cons(X0,X1)) = sK24(cons(X0,X1))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(resolution,[],[f467,f558]) ).
fof(f817,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| ~ lt(hd(X0),X1)
| ~ ssItem(X1)
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f445,f410]) ).
fof(f816,plain,
! [X0,X1] :
( nil = X0
| ~ sP2(X0,X1)
| leq(X1,hd(X0))
| ~ ssItem(hd(X0))
| ~ ssItem(X1) ),
inference(resolution,[],[f445,f420]) ).
fof(f815,plain,
! [X0] :
( nil = X0
| ~ sP2(X0,hd(X0))
| ~ ssItem(hd(X0)) ),
inference(resolution,[],[f445,f398]) ).
fof(f797,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1) ),
inference(duplicate_literal_removal,[],[f796]) ).
fof(f796,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| ~ ssItem(X0)
| ~ ssItem(X1)
| ~ gt(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(resolution,[],[f414,f408]) ).
fof(f794,plain,
! [X0] :
( sK60(X0) = app(nil,sK60(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f747,f673]) ).
fof(f747,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = app(nil,sK60(X0)) ),
inference(resolution,[],[f459,f548]) ).
fof(f793,plain,
! [X0] :
( sK59(X0) = app(nil,sK59(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f746,f673]) ).
fof(f746,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = app(nil,sK59(X0)) ),
inference(resolution,[],[f459,f547]) ).
fof(f792,plain,
! [X0] :
( sK58(X0) = app(nil,sK58(X0))
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f745,f673]) ).
fof(f745,plain,
! [X0] :
( sP16(X0)
| sK58(X0) = app(nil,sK58(X0)) ),
inference(resolution,[],[f459,f546]) ).
fof(f791,plain,
! [X0] :
( sK55(X0) = app(nil,sK55(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f744,f671]) ).
fof(f744,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = app(nil,sK55(X0)) ),
inference(resolution,[],[f459,f537]) ).
fof(f790,plain,
! [X0] :
( sK54(X0) = app(nil,sK54(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f743,f671]) ).
fof(f743,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = app(nil,sK54(X0)) ),
inference(resolution,[],[f459,f536]) ).
fof(f789,plain,
! [X0] :
( sK53(X0) = app(nil,sK53(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f742,f671]) ).
fof(f742,plain,
! [X0] :
( sP14(X0)
| sK53(X0) = app(nil,sK53(X0)) ),
inference(resolution,[],[f459,f535]) ).
fof(f741,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = app(nil,sK50(X0)) ),
inference(resolution,[],[f459,f525]) ).
fof(f740,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = app(nil,sK49(X0)) ),
inference(resolution,[],[f459,f524]) ).
fof(f739,plain,
! [X0] :
( sP12(X0)
| sK48(X0) = app(nil,sK48(X0)) ),
inference(resolution,[],[f459,f523]) ).
fof(f738,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = app(nil,sK45(X0)) ),
inference(resolution,[],[f459,f513]) ).
fof(f737,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = app(nil,sK44(X0)) ),
inference(resolution,[],[f459,f512]) ).
fof(f736,plain,
! [X0] :
( sP10(X0)
| sK43(X0) = app(nil,sK43(X0)) ),
inference(resolution,[],[f459,f511]) ).
fof(f735,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = app(nil,sK40(X0)) ),
inference(resolution,[],[f459,f501]) ).
fof(f734,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = app(nil,sK39(X0)) ),
inference(resolution,[],[f459,f500]) ).
fof(f733,plain,
! [X0] :
( sP8(X0)
| sK38(X0) = app(nil,sK38(X0)) ),
inference(resolution,[],[f459,f499]) ).
fof(f732,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = app(nil,sK35(X0)) ),
inference(resolution,[],[f459,f490]) ).
fof(f731,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = app(nil,sK34(X0)) ),
inference(resolution,[],[f459,f489]) ).
fof(f730,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = app(nil,sK33(X0)) ),
inference(resolution,[],[f459,f488]) ).
fof(f729,plain,
! [X0] :
( sP4(X0)
| sK30(X0) = app(nil,sK30(X0)) ),
inference(resolution,[],[f459,f479]) ).
fof(f728,plain,
! [X0] :
( sP4(X0)
| sK29(X0) = app(nil,sK29(X0)) ),
inference(resolution,[],[f459,f478]) ).
fof(f788,plain,
! [X0] :
( sK60(X0) = app(sK60(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f720,f673]) ).
fof(f720,plain,
! [X0] :
( sP16(X0)
| sK60(X0) = app(sK60(X0),nil) ),
inference(resolution,[],[f458,f548]) ).
fof(f787,plain,
! [X0] :
( sK59(X0) = app(sK59(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f719,f673]) ).
fof(f719,plain,
! [X0] :
( sP16(X0)
| sK59(X0) = app(sK59(X0),nil) ),
inference(resolution,[],[f458,f547]) ).
fof(f786,plain,
! [X0] :
( sK58(X0) = app(sK58(X0),nil)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f718,f673]) ).
fof(f718,plain,
! [X0] :
( sP16(X0)
| sK58(X0) = app(sK58(X0),nil) ),
inference(resolution,[],[f458,f546]) ).
fof(f785,plain,
! [X0] :
( sK55(X0) = app(sK55(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f717,f671]) ).
fof(f717,plain,
! [X0] :
( sP14(X0)
| sK55(X0) = app(sK55(X0),nil) ),
inference(resolution,[],[f458,f537]) ).
fof(f784,plain,
! [X0] :
( sK54(X0) = app(sK54(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f716,f671]) ).
fof(f716,plain,
! [X0] :
( sP14(X0)
| sK54(X0) = app(sK54(X0),nil) ),
inference(resolution,[],[f458,f536]) ).
fof(f783,plain,
! [X0] :
( sK53(X0) = app(sK53(X0),nil)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f715,f671]) ).
fof(f715,plain,
! [X0] :
( sP14(X0)
| sK53(X0) = app(sK53(X0),nil) ),
inference(resolution,[],[f458,f535]) ).
fof(f714,plain,
! [X0] :
( sP12(X0)
| sK50(X0) = app(sK50(X0),nil) ),
inference(resolution,[],[f458,f525]) ).
fof(f713,plain,
! [X0] :
( sP12(X0)
| sK49(X0) = app(sK49(X0),nil) ),
inference(resolution,[],[f458,f524]) ).
fof(f712,plain,
! [X0] :
( sP12(X0)
| sK48(X0) = app(sK48(X0),nil) ),
inference(resolution,[],[f458,f523]) ).
fof(f711,plain,
! [X0] :
( sP10(X0)
| sK45(X0) = app(sK45(X0),nil) ),
inference(resolution,[],[f458,f513]) ).
fof(f710,plain,
! [X0] :
( sP10(X0)
| sK44(X0) = app(sK44(X0),nil) ),
inference(resolution,[],[f458,f512]) ).
fof(f709,plain,
! [X0] :
( sP10(X0)
| sK43(X0) = app(sK43(X0),nil) ),
inference(resolution,[],[f458,f511]) ).
fof(f708,plain,
! [X0] :
( sP8(X0)
| sK40(X0) = app(sK40(X0),nil) ),
inference(resolution,[],[f458,f501]) ).
fof(f707,plain,
! [X0] :
( sP8(X0)
| sK39(X0) = app(sK39(X0),nil) ),
inference(resolution,[],[f458,f500]) ).
fof(f706,plain,
! [X0] :
( sP8(X0)
| sK38(X0) = app(sK38(X0),nil) ),
inference(resolution,[],[f458,f499]) ).
fof(f705,plain,
! [X0] :
( sP6(X0)
| sK35(X0) = app(sK35(X0),nil) ),
inference(resolution,[],[f458,f490]) ).
fof(f704,plain,
! [X0] :
( sP6(X0)
| sK34(X0) = app(sK34(X0),nil) ),
inference(resolution,[],[f458,f489]) ).
fof(f703,plain,
! [X0] :
( sP6(X0)
| sK33(X0) = app(sK33(X0),nil) ),
inference(resolution,[],[f458,f488]) ).
fof(f702,plain,
! [X0] :
( sP4(X0)
| sK30(X0) = app(sK30(X0),nil) ),
inference(resolution,[],[f458,f479]) ).
fof(f701,plain,
! [X0] :
( sP4(X0)
| sK29(X0) = app(sK29(X0),nil) ),
inference(resolution,[],[f458,f478]) ).
fof(f560,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(f559,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(f776,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(app(X1,X0),nil) ),
inference(resolution,[],[f568,f458]) ).
fof(f775,plain,
! [X0,X1] :
( ~ ssList(X0)
| ~ ssList(X1)
| app(X1,X0) = app(nil,app(X1,X0)) ),
inference(resolution,[],[f568,f459]) ).
fof(f774,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(cons(X0,X1),nil) ),
inference(resolution,[],[f558,f458]) ).
fof(f773,plain,
! [X0,X1] :
( ~ ssItem(X0)
| ~ ssList(X1)
| cons(X0,X1) = app(nil,cons(X0,X1)) ),
inference(resolution,[],[f558,f459]) ).
fof(f556,plain,
! [X0] :
( ~ rearsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,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(f554,plain,
! [X0] :
( ~ segmentP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f552,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f757,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(sK25(X0),nil) ),
inference(resolution,[],[f468,f458]) ).
fof(f756,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK25(X0) = app(nil,sK25(X0)) ),
inference(resolution,[],[f468,f459]) ).
fof(f755,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(tl(X0),nil) ),
inference(resolution,[],[f464,f458]) ).
fof(f754,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| tl(X0) = app(nil,tl(X0)) ),
inference(resolution,[],[f464,f459]) ).
fof(f753,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK22(X0) = app(sK22(X0),nil) ),
inference(resolution,[],[f460,f458]) ).
fof(f752,plain,
! [X0] :
( nil = X0
| ~ ssList(X0)
| sK22(X0) = app(nil,sK22(X0)) ),
inference(resolution,[],[f460,f459]) ).
fof(f724,plain,
sK18 = app(nil,sK18),
inference(resolution,[],[f459,f374]) ).
fof(f749,plain,
sK19 = app(nil,sK19),
inference(forward_demodulation,[],[f727,f378]) ).
fof(f727,plain,
sK21 = app(nil,sK21),
inference(resolution,[],[f459,f377]) ).
fof(f748,plain,
sK18 = app(nil,sK18),
inference(forward_demodulation,[],[f726,f379]) ).
fof(f726,plain,
sK20 = app(nil,sK20),
inference(resolution,[],[f459,f376]) ).
fof(f697,plain,
sK18 = app(sK18,nil),
inference(resolution,[],[f458,f374]) ).
fof(f722,plain,
sK19 = app(sK19,nil),
inference(forward_demodulation,[],[f700,f378]) ).
fof(f700,plain,
sK21 = app(sK21,nil),
inference(resolution,[],[f458,f377]) ).
fof(f721,plain,
sK18 = app(sK18,nil),
inference(forward_demodulation,[],[f699,f379]) ).
fof(f699,plain,
sK20 = app(sK20,nil),
inference(resolution,[],[f458,f376]) ).
fof(f673,plain,
! [X0] :
( ~ sP16(X0)
| strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f542,f551]) ).
fof(f672,plain,
! [X0] :
( sP16(X0)
| ~ strictorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f541,f551]) ).
fof(f671,plain,
! [X0] :
( ~ sP14(X0)
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f531,f540]) ).
fof(f670,plain,
! [X0] :
( sP14(X0)
| ~ totalorderedP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f530,f540]) ).
fof(f669,plain,
! [X0] :
( sP12(X0)
| ~ cyclefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f518,f529]) ).
fof(f668,plain,
! [X0] :
( sP10(X0)
| ~ strictorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f506,f517]) ).
fof(f667,plain,
! [X0] :
( sP8(X0)
| ~ totalorderP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f494,f505]) ).
fof(f666,plain,
! [X0] :
( sP6(X0)
| ~ duplicatefreeP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f483,f493]) ).
fof(f665,plain,
! [X0] :
( sP4(X0)
| ~ equalelemsP(X0)
| ~ ssList(X0) ),
inference(resolution,[],[f473,f482]) ).
fof(f643,plain,
nil = app(nil,nil),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f639,f382,f381,f380,f379,f378,f377,f376,f375,f374,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f414,f413,f416,f638,f418,f417,f421,f420,f637,f422,f423,f424,f425,f426,f429,f636,f427,f635,f431,f430,f434,f433,f439,f609,f437,f436,f440,f442,f441,f447,f611,f445,f444,f448,f451,f450,f449,f452,f453,f454,f455,f456,f457,f458,f459,f462,f461,f460,f463,f464,f465,f467,f466,f469,f468,f613,f471,f470,f473,f481,f480,f479,f478,f477,f476,f614,f482,f483,f492,f491,f490,f489,f488,f487,f486,f634,f493,f494,f504,f503,f502,f501,f500,f499,f498,f497,f617,f505,f506,f516,f515,f514,f513,f512,f511,f510,f509,f618,f517,f518,f528,f527,f526,f525,f524,f523,f522,f521,f619,f529,f531,f530,f539,f538,f537,f536,f535,f534,f533,f620,f540,f542,f541,f550,f549,f548,f547,f546,f545,f544,f621,f551,f622,f640,f552,f623,f641,f554,f624,f642,f556,f558,f559,f560,f561,f562,f563,f625,f566,f565,f564,f568,f569,f570,f571,f572,f573,f574,f576,f633,f627,f578,f577,f628,f582,f581,f580,f629,f585,f584,f632]) ).
fof(f633,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f626]) ).
fof(f626,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f575]) ).
fof(f575,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f642,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f639,f382,f381,f380,f379,f378,f377,f376,f375,f374,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f414,f413,f416,f638,f418,f417,f421,f420,f637,f422,f423,f424,f425,f426,f429,f636,f427,f635,f431,f430,f434,f433,f439,f609,f437,f436,f440,f442,f441,f447,f611,f445,f444,f448,f451,f450,f449,f452,f453,f454,f455,f456,f457,f458,f459,f462,f461,f460,f463,f464,f465,f467,f466,f469,f468,f613,f471,f470,f473,f481,f480,f479,f478,f477,f476,f614,f482,f483,f492,f491,f490,f489,f488,f487,f486,f634,f493,f494,f504,f503,f502,f501,f500,f499,f498,f497,f617,f505,f506,f516,f515,f514,f513,f512,f511,f510,f509,f618,f517,f518,f528,f527,f526,f525,f524,f523,f522,f521,f619,f529,f531,f530,f539,f538,f537,f536,f535,f534,f533,f620,f540,f542,f541,f550,f549,f548,f547,f546,f545,f544,f621,f551,f622,f640,f552,f623,f641,f554,f624]) ).
fof(f641,plain,
segmentP(nil,nil),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f639,f382,f381,f380,f379,f378,f377,f376,f375,f374,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f411,f412,f414,f413,f416,f638,f418,f417,f421,f420,f637,f422,f423,f424,f425,f426,f429,f636,f427,f635,f431,f430,f434,f433,f439,f609,f437,f436,f440,f442,f441,f447,f611,f445,f444,f448,f451,f450,f449,f452,f453,f454,f455,f456,f457,f458,f459,f462,f461,f460,f463,f464,f465,f467,f466,f469,f468,f613,f471,f470,f473,f481,f480,f479,f478,f477,f476,f614,f482,f483,f492,f491,f490,f489,f488,f487,f486,f634,f493,f494,f504,f503,f502,f501,f500,f499,f498,f497,f617,f505,f506,f516,f515,f514,f513,f512,f511,f510,f509,f618,f517,f518,f528,f527,f526,f525,f524,f523,f522,f521,f619,f529,f531,f530,f539,f538,f537,f536,f535,f534,f533,f620,f540,f542,f541,f550,f549,f548,f547,f546,f545,f544,f621,f551,f622,f640,f552,f623]) ).
fof(f604,plain,
sK67 != sK68,
inference(cnf_transformation,[],[f373]) ).
fof(f601,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(f600,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,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(f599,plain,
! [X2,X0,X1] :
( ~ segmentP(X1,X2)
| segmentP(X0,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f218]) ).
fof(f218,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( segmentP(X0,X2)
| ~ segmentP(X1,X2)
| ~ segmentP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f217]) ).
fof(f217,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(f598,plain,
! [X2,X0,X1] :
( ~ frontsegP(X1,X2)
| frontsegP(X0,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( frontsegP(X0,X2)
| ~ frontsegP(X1,X2)
| ~ frontsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,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(f595,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(f593,plain,
! [X2,X0,X1] :
( ~ ssList(X2)
| app(app(X0,X1),X2) = app(X0,app(X1,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(f591,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X2 = X3
| ~ 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(f592,plain,
! [X2,X3,X0,X1] :
( cons(X2,X0) != cons(X3,X1)
| X0 = X1
| ~ ssItem(X3)
| ~ ssItem(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ ssList(X1)
| ~ ssItem(X2)
| cons(X2,app(X1,X0)) = app(cons(X2,X1),X0)
| ~ 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(f587,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,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,[],[f369]) ).
fof(f369,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(f588,plain,
! [X0,X1] :
( nil != app(X0,X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f632,plain,
( nil = app(nil,nil)
| ~ ssList(nil) ),
inference(duplicate_literal_removal,[],[f631]) ).
fof(f631,plain,
( nil = app(nil,nil)
| ~ ssList(nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f630]) ).
fof(f630,plain,
! [X1] :
( nil = app(nil,X1)
| nil != X1
| ~ ssList(X1)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f589]) ).
fof(f589,plain,
! [X0,X1] :
( nil = app(X0,X1)
| nil != X0
| nil != X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f582,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK64(X0,X1),X1),sK65(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f364]) ).
fof(f573,plain,
! [X0,X1] :
( ~ segmentP(X1,X0)
| X0 = X1
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f195]) ).
fof(f195,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ segmentP(X1,X0)
| ~ segmentP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f194]) ).
fof(f194,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(f571,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(f570,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| tl(app(X0,X1)) = app(tl(X0),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(f569,plain,
! [X0,X1] :
( ~ ssList(X1)
| nil = X0
| hd(X0) = hd(app(X0,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(f566,plain,
! [X0,X1] :
( ~ memberP(X0,X1)
| app(sK61(X0,X1),cons(X1,sK62(X0,X1))) = X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f354]) ).
fof(f625,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,[],[f567]) ).
fof(f567,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,[],[f354]) ).
fof(f624,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f557]) ).
fof(f557,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f623,plain,
( segmentP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f555]) ).
fof(f555,plain,
! [X0] :
( segmentP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f1866,plain,
( spl69_3
| spl69_12 ),
inference(avatar_contradiction_clause,[],[f1865]) ).
fof(f1865,plain,
( $false
| spl69_3
| spl69_12 ),
inference(subsumption_resolution,[],[f1864,f374]) ).
fof(f1864,plain,
( ~ ssList(sK18)
| spl69_3
| spl69_12 ),
inference(subsumption_resolution,[],[f1863,f683]) ).
fof(f1863,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_12 ),
inference(resolution,[],[f1857,f460]) ).
fof(f1857,plain,
( ~ ssList(sK22(sK18))
| spl69_12 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f1855,plain,
( spl69_12
<=> ssList(sK22(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).
fof(f1862,plain,
( ~ spl69_12
| spl69_13
| spl69_3
| ~ spl69_6 ),
inference(avatar_split_clause,[],[f1844,f1555,f681,f1859,f1855]) ).
fof(f1859,plain,
( spl69_13
<=> memberP(sK18,sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).
fof(f1555,plain,
( spl69_6
<=> ssItem(sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).
fof(f1844,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| spl69_3
| ~ spl69_6 ),
inference(subsumption_resolution,[],[f1843,f1556]) ).
fof(f1556,plain,
( ssItem(sK23(sK18))
| ~ spl69_6 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1843,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| ~ ssItem(sK23(sK18))
| spl69_3 ),
inference(superposition,[],[f636,f1796]) ).
fof(f1803,plain,
( ~ spl69_1
| spl69_3 ),
inference(avatar_contradiction_clause,[],[f1802]) ).
fof(f1802,plain,
( $false
| ~ spl69_1
| spl69_3 ),
inference(subsumption_resolution,[],[f1801,f374]) ).
fof(f1801,plain,
( ~ ssList(sK18)
| ~ spl69_1
| spl69_3 ),
inference(subsumption_resolution,[],[f1800,f683]) ).
fof(f1800,plain,
( nil = sK18
| ~ ssList(sK18)
| ~ spl69_1
| spl69_3 ),
inference(resolution,[],[f1775,f556]) ).
fof(f1775,plain,
( rearsegP(nil,sK18)
| ~ spl69_1
| spl69_3 ),
inference(global_subsumption,[],[f387,f386,f385,f384,f383,f382,f381,f409,f411,f412,f421,f637,f422,f423,f424,f425,f426,f429,f427,f635,f431,f430,f451,f450,f449,f480,f614,f491,f634,f502,f617,f514,f618,f526,f619,f538,f620,f549,f621,f622,f623,f624,f563,f625,f566,f569,f570,f571,f572,f573,f574,f627,f578,f628,f582,f629,f585,f632,f588,f587,f590,f592,f591,f593,f594,f595,f596,f597,f598,f599,f600,f601,f374,f375,f376,f377,f388,f389,f390,f391,f392,f393,f394,f395,f396,f602,f603,f378,f379,f604,f609,f611,f640,f641,f642,f482,f493,f505,f517,f529,f540,f551,f380,f397,f398,f399,f400,f452,f453,f454,f455,f456,f457,f476,f477,f478,f479,f486,f487,f488,f489,f490,f497,f498,f499,f500,f501,f509,f510,f511,f512,f513,f521,f522,f523,f524,f525,f533,f534,f535,f536,f537,f544,f545,f546,f547,f548,f633,f638,f643,f401,f402,f403,f404,f405,f406,f407,f473,f483,f494,f506,f518,f530,f531,f541,f542,f665,f666,f667,f668,f669,f670,f671,f672,f673,f639,f683,f440,f448,f458,f721,f722,f697,f698,f459,f748,f749,f724,f725,f470,f481,f492,f503,f504,f515,f516,f527,f528,f539,f550,f436,f444,f460,f752,f753,f461,f463,f464,f754,f755,f466,f468,f756,f757,f552,f554,f556,f558,f773,f774,f568,f775,f776,f559,f560,f636,f701,f702,f703,f704,f705,f706,f707,f708,f709,f710,f408,f711,f712,f713,f714,f715,f783,f716,f784,f717,f785,f718,f786,f719,f787,f720,f788,f728,f410,f729,f730,f731,f732,f733,f734,f735,f736,f737,f738,f739,f413,f740,f741,f742,f789,f743,f790,f744,f791,f745,f792,f746,f793,f747,f794,f414,f797,f416,f417,f418,f420,f433,f434,f437,f441,f442,f445,f815,f816,f817,f467,f848,f819,f821,f853,f826,f827,f828,f829,f830,f831,f832,f833,f834,f835,f836,f837,f838,f839,f840,f841,f842,f843,f844,f845,f846,f847,f849,f469,f889,f860,f862,f894,f867,f868,f869,f870,f871,f872,f873,f874,f875,f876,f877,f878,f879,f880,f881,f882,f883,f884,f885,f886,f887,f888,f890,f471,f561,f900,f901,f903,f930,f931,f908,f909,f910,f911,f912,f913,f914,f915,f916,f917,f918,f919,f920,f921,f922,f923,f924,f925,f926,f927,f928,f929,f904,f950,f951,f905,f562,f974,f975,f977,f1004,f1005,f982,f983,f984,f985,f986,f987,f988,f989,f990,f991,f992,f993,f994,f995,f996,f997,f998,f999,f1000,f1001,f1002,f1003,f972,f973,f978,f1008,f1009,f1010,f1026,f1028,f1029,f1027,f1031,f1032,f979,f1034,f1035,f1036,f1037,f1052,f1054,f1055,f1053,f1057,f1058,f576,f936,f937,f938,f939,f940,f941,f942,f943,f944,f945,f613,f1067,f946,f947,f948,f949,f958,f959,f960,f961,f962,f963,f964,f564,f1072,f1073,f1074,f1075,f1076,f1077,f965,f966,f967,f968,f969,f970,f971,f1012,f1013,f1014,f1015,f565,f1082,f1083,f1084,f1085,f1086,f1087,f1016,f1017,f1018,f1019,f1020,f1021,f1022,f1088,f1023,f1089,f1024,f1090,f1025,f1091,f1038,f577,f1092,f1093,f1094,f1095,f1096,f1097,f1039,f1040,f1041,f1042,f1043,f1044,f1045,f1046,f1047,f1048,f1098,f1049,f1099,f580,f1100,f1101,f1102,f1103,f1104,f1105,f1050,f1106,f1051,f1107,f902,f1108,f1109,f1110,f1111,f1126,f1127,f976,f1130,f1131,f1132,f1133,f1134,f1135,f1136,f1137,f1138,f1139,f1140,f1141,f1142,f1143,f1144,f1145,f1146,f1147,f1148,f1150,f1151,f1149,f1153,f1154,f935,f1157,f957,f1159,f1068,f1160,f581,f1161,f1162,f1163,f1164,f1165,f1166,f1069,f1167,f1070,f1168,f1071,f1169,f1078,f1170,f1079,f1171,f1080,f1172,f1081,f1173,f1112,f1113,f1114,f1115,f584,f1174,f1175,f1176,f1177,f1178,f1179,f1116,f1117,f1118,f1119,f1120,f1121,f1122,f1180,f1123,f1181,f1124,f1182,f1125,f1183,f932,f1220,f1185,f1187,f1225,f1192,f1193,f1194,f1195,f1196,f1197,f1198,f1199,f1200,f1201,f1202,f1203,f1204,f1205,f1206,f1207,f1208,f1209,f1210,f1211,f1212,f1213,f1214,f1215,f1216,f1217,f1218,f1219,f439,f1230,f1231,f1232,f1233,f1234,f1235,f1236,f1221,f933,f1276,f1241,f1243,f1281,f1248,f1249,f1250,f1251,f1252,f1253,f1254,f1255,f1256,f1257,f1258,f1259,f1260,f1261,f1262,f1263,f1264,f1265,f1266,f1267,f1268,f1269,f1270,f1271,f1272,f1273,f1274,f1275,f1277,f934,f1323,f1288,f1290,f1295,f1296,f1297,f1298,f1299,f1300,f1301,f1302,f1303,f1304,f1305,f1306,f1307,f1308,f1309,f1310,f1311,f1312,f1313,f1314,f1315,f1316,f1317,f1318,f1319,f1320,f1321,f1322,f954,f1372,f1337,f1339,f1377,f1344,f1345,f1346,f1347,f1348,f1349,f1350,f1351,f1352,f1353,f1354,f1355,f1356,f1357,f1358,f1359,f1360,f1361,f1362,f1363,f1364,f1365,f1366,f1367,f1368,f1369,f1370,f1371,f447,f1382,f1383,f1384,f1385,f1386,f1387,f1373,f955,f1427,f1392,f1394,f1432,f1399,f1400,f1401,f1402,f1403,f1404,f1405,f1406,f1407,f1408,f1409,f1410,f1411,f1412,f1413,f1414,f1415,f1416,f1417,f1418,f1419,f1420,f1421,f1422,f1423,f1424,f1425,f1426,f1428,f956,f1474,f1439,f1441,f1446,f1447,f1448,f1449,f1450,f1451,f1452,f1453,f1454,f1455,f1456,f1457,f1458,f1459,f1460,f1461,f1462,f1463,f1464,f1465,f1466,f1467,f1468,f1469,f1470,f1471,f1472,f1473,f1011,f1488,f462,f1525,f1490,f1492,f1530,f1497,f1498,f1499,f1500,f1501,f1502,f1503,f1504,f1505,f1506,f1507,f1508,f1509,f1510,f1511,f1512,f1513,f1514,f1515,f1516,f1517,f1518,f1519,f1520,f1521,f1522,f1523,f1524,f1526,f1534,f1535,f1536,f1537,f1540,f1541,f1543,f465,f1628,f1593,f1595,f1633,f1600,f1601,f1602,f1603,f1604,f1605,f1606,f1607,f1608,f1609,f1610,f1611,f1612,f1613,f1614,f1615,f1616,f1617,f1618,f1619,f1620,f1621,f1622,f1623,f1624,f1625,f1626,f1627,f1629,f1637,f1638,f1639,f1640,f1643,f1644,f1646,f1671,f1596,f1674,f1493,f1677,f1442,f1680,f1395,f1683,f1340,f1686,f1291,f1689,f1244,f1692,f1188,f1695,f863,f1698,f822,f1720,f1597,f1722,f1494,f1723,f1443,f1724,f1396,f1727,f1341,f1739,f864,f1740,f823,f649,f1771,f1772,f1774]) ).
fof(f1774,plain,
( nil = sK18
| rearsegP(nil,sK18)
| ~ spl69_1 ),
inference(forward_demodulation,[],[f1773,f379]) ).
fof(f1773,plain,
( rearsegP(nil,sK18)
| nil = sK20
| ~ spl69_1 ),
inference(forward_demodulation,[],[f664,f649]) ).
fof(f664,plain,
( rearsegP(sK19,sK18)
| nil = sK20 ),
inference(forward_demodulation,[],[f663,f378]) ).
fof(f663,plain,
( rearsegP(sK21,sK18)
| nil = sK20 ),
inference(forward_demodulation,[],[f387,f379]) ).
fof(f649,plain,
( nil = sK19
| ~ spl69_1 ),
inference(avatar_component_clause,[],[f647]) ).
fof(f1767,plain,
( ~ spl69_1
| ~ spl69_3
| spl69_4 ),
inference(avatar_contradiction_clause,[],[f1766]) ).
fof(f1766,plain,
( $false
| ~ spl69_1
| ~ spl69_3
| spl69_4 ),
inference(subsumption_resolution,[],[f1765,f687]) ).
fof(f687,plain,
( ~ neq(nil,nil)
| spl69_4 ),
inference(avatar_component_clause,[],[f685]) ).
fof(f685,plain,
( spl69_4
<=> neq(nil,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f1765,plain,
( neq(nil,nil)
| ~ spl69_1
| ~ spl69_3 ),
inference(forward_demodulation,[],[f1764,f649]) ).
fof(f1764,plain,
( neq(sK19,nil)
| ~ spl69_3 ),
inference(subsumption_resolution,[],[f381,f682]) ).
fof(f682,plain,
( nil = sK18
| ~ spl69_3 ),
inference(avatar_component_clause,[],[f681]) ).
fof(f1763,plain,
( ~ spl69_1
| ~ spl69_2
| spl69_4 ),
inference(avatar_contradiction_clause,[],[f1762]) ).
fof(f1762,plain,
( $false
| ~ spl69_1
| ~ spl69_2
| spl69_4 ),
inference(subsumption_resolution,[],[f1752,f687]) ).
fof(f1752,plain,
( neq(nil,nil)
| ~ spl69_1
| ~ spl69_2 ),
inference(superposition,[],[f653,f649]) ).
fof(f653,plain,
( neq(sK19,nil)
| ~ spl69_2 ),
inference(avatar_component_clause,[],[f651]) ).
fof(f651,plain,
( spl69_2
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f1719,plain,
( spl69_1
| ~ spl69_3
| ~ spl69_5 ),
inference(avatar_contradiction_clause,[],[f1718]) ).
fof(f1718,plain,
( $false
| spl69_1
| ~ spl69_3
| ~ spl69_5 ),
inference(subsumption_resolution,[],[f1704,f690]) ).
fof(f690,plain,
( segmentP(sK19,nil)
| ~ spl69_5 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f689,plain,
( spl69_5
<=> segmentP(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f1704,plain,
( ~ segmentP(sK19,nil)
| spl69_1
| ~ spl69_3 ),
inference(superposition,[],[f675,f682]) ).
fof(f1717,plain,
( spl69_1
| ~ spl69_3
| spl69_4 ),
inference(avatar_contradiction_clause,[],[f1716]) ).
fof(f1716,plain,
( $false
| spl69_1
| ~ spl69_3
| spl69_4 ),
inference(subsumption_resolution,[],[f1702,f687]) ).
fof(f1702,plain,
( neq(nil,nil)
| spl69_1
| ~ spl69_3 ),
inference(superposition,[],[f657,f682]) ).
fof(f1669,plain,
( spl69_3
| spl69_10 ),
inference(avatar_contradiction_clause,[],[f1668]) ).
fof(f1668,plain,
( $false
| spl69_3
| spl69_10 ),
inference(subsumption_resolution,[],[f1667,f374]) ).
fof(f1667,plain,
( ~ ssList(sK18)
| spl69_3
| spl69_10 ),
inference(subsumption_resolution,[],[f1666,f683]) ).
fof(f1666,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_10 ),
inference(resolution,[],[f1660,f463]) ).
fof(f1660,plain,
( ~ ssItem(hd(sK18))
| spl69_10 ),
inference(avatar_component_clause,[],[f1658]) ).
fof(f1665,plain,
( ~ spl69_10
| ~ spl69_11
| spl69_3 ),
inference(avatar_split_clause,[],[f1646,f681,f1662,f1658]) ).
fof(f1662,plain,
( spl69_11
<=> sK18 = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).
fof(f1585,plain,
( spl69_1
| spl69_8 ),
inference(avatar_contradiction_clause,[],[f1584]) ).
fof(f1584,plain,
( $false
| spl69_1
| spl69_8 ),
inference(subsumption_resolution,[],[f1583,f375]) ).
fof(f1583,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_8 ),
inference(subsumption_resolution,[],[f1582,f648]) ).
fof(f1582,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_8 ),
inference(resolution,[],[f1576,f461]) ).
fof(f1576,plain,
( ~ ssItem(sK23(sK19))
| spl69_8 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1581,plain,
( ~ spl69_8
| ~ spl69_9
| spl69_1 ),
inference(avatar_split_clause,[],[f1553,f647,f1578,f1574]) ).
fof(f1578,plain,
( spl69_9
<=> sK19 = sK22(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).
fof(f1553,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1552,f375]) ).
fof(f1552,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| ~ ssList(sK19)
| spl69_1 ),
inference(inner_rewriting,[],[f1550]) ).
fof(f1550,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| ~ ssList(sK22(sK19))
| spl69_1 ),
inference(superposition,[],[f560,f1527]) ).
fof(f1527,plain,
( sK19 = cons(sK23(sK19),sK22(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1494,f648]) ).
fof(f1566,plain,
( spl69_3
| spl69_6 ),
inference(avatar_contradiction_clause,[],[f1565]) ).
fof(f1565,plain,
( $false
| spl69_3
| spl69_6 ),
inference(subsumption_resolution,[],[f1564,f374]) ).
fof(f1564,plain,
( ~ ssList(sK18)
| spl69_3
| spl69_6 ),
inference(subsumption_resolution,[],[f1563,f683]) ).
fof(f1563,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_6 ),
inference(resolution,[],[f1557,f461]) ).
fof(f1557,plain,
( ~ ssItem(sK23(sK18))
| spl69_6 ),
inference(avatar_component_clause,[],[f1555]) ).
fof(f1562,plain,
( ~ spl69_6
| ~ spl69_7
| spl69_3 ),
inference(avatar_split_clause,[],[f1543,f681,f1559,f1555]) ).
fof(f1559,plain,
( spl69_7
<=> sK18 = sK22(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).
fof(f695,plain,
spl69_5,
inference(avatar_contradiction_clause,[],[f694]) ).
fof(f694,plain,
( $false
| spl69_5 ),
inference(subsumption_resolution,[],[f693,f375]) ).
fof(f693,plain,
( ~ ssList(sK19)
| spl69_5 ),
inference(resolution,[],[f691,f455]) ).
fof(f691,plain,
( ~ segmentP(sK19,nil)
| spl69_5 ),
inference(avatar_component_clause,[],[f689]) ).
fof(f692,plain,
( ~ spl69_3
| ~ spl69_4
| ~ spl69_5 ),
inference(avatar_split_clause,[],[f639,f689,f685,f681]) ).
fof(f654,plain,
( spl69_1
| spl69_2 ),
inference(avatar_split_clause,[],[f380,f651,f647]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWC108+1 : TPTP v8.2.0. Released v2.4.0.
% 0.13/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n008.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sun May 19 03:43:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.20/0.35 % (15656)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.37 % (15657)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.37 % (15659)WARNING: value z3 for option sas not known
% 0.20/0.37 % (15658)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.37 % (15660)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.37 % (15659)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)
% 0.20/0.37 % (15661)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)
% 0.20/0.38 % (15662)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)
% 0.20/0.38 % (15663)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)
% 0.20/0.38 TRYING [1]
% 0.20/0.38 TRYING [2]
% 0.20/0.38 TRYING [3]
% 0.20/0.39 TRYING [1]
% 0.20/0.39 TRYING [2]
% 0.20/0.41 TRYING [3]
% 0.20/0.41 TRYING [4]
% 0.20/0.45 TRYING [4]
% 0.20/0.51 TRYING [5]
% 1.44/0.56 TRYING [5]
% 2.00/0.64 % (15659)First to succeed.
% 2.19/0.66 % (15659)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-15656"
% 2.19/0.66 % (15659)Refutation found. Thanks to Tanya!
% 2.19/0.66 % SZS status Theorem for theBenchmark
% 2.19/0.66 % SZS output start Proof for theBenchmark
% See solution above
% 2.19/0.67 % (15659)------------------------------
% 2.19/0.67 % (15659)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.19/0.67 % (15659)Termination reason: Refutation
% 2.19/0.67
% 2.19/0.67 % (15659)Memory used [KB]: 6669
% 2.19/0.67 % (15659)Time elapsed: 0.289 s
% 2.19/0.67 % (15659)Instructions burned: 772 (million)
% 2.19/0.67 % (15656)Success in time 0.301 s
%------------------------------------------------------------------------------