TSTP Solution File: SWC070+1 by Vampire-SAT---4.8
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%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC070+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 04:43:07 EDT 2024
% Result : Theorem 2.35s 0.67s
% Output : Refutation 2.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 209
% Syntax : Number of formulae : 1021 ( 44 unt; 0 def)
% Number of atoms : 4350 ( 700 equ)
% Maximal formula atoms : 32 ( 4 avg)
% Number of connectives : 5444 (2115 ~;2239 |; 726 &)
% ( 133 <=>; 231 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 101 ( 99 usr; 63 prp; 0-2 aty)
% Number of functors : 54 ( 54 usr; 7 con; 0-2 aty)
% Number of variables : 1433 (1122 !; 311 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7365,plain,
$false,
inference(avatar_sat_refutation,[],[f651,f774,f795,f1069,f1100,f1409,f1413,f1428,f1432,f1512,f1516,f1531,f1535,f1645,f1649,f1742,f1746,f2086,f2206,f2210,f2263,f2267,f2559,f2568,f3008,f3013,f3343,f3348,f3401,f3406,f3459,f3492,f3548,f3720,f3949,f3972,f4197,f4201,f4561,f4565,f5369,f5637,f5641,f5654,f5881,f5885,f5994,f6038,f6041,f6045,f6054,f6057,f6084,f6128,f6131,f6135,f6144,f6147,f7132,f7341,f7343,f7364]) ).
fof(f7364,plain,
( spl69_1
| ~ spl69_2 ),
inference(avatar_contradiction_clause,[],[f7363]) ).
fof(f7363,plain,
( $false
| spl69_1
| ~ spl69_2 ),
inference(subsumption_resolution,[],[f7362,f394]) ).
fof(f394,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f7362,plain,
( ~ ssList(nil)
| spl69_1
| ~ spl69_2 ),
inference(resolution,[],[f7358,f631]) ).
fof(f631,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1) ),
inference(duplicate_literal_removal,[],[f624]) ).
fof(f624,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssList(X1)
| ~ ssList(X1) ),
inference(equality_resolution,[],[f573]) ).
fof(f573,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(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/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f7358,plain,
( neq(nil,nil)
| spl69_1
| ~ spl69_2 ),
inference(forward_demodulation,[],[f654,f649]) ).
fof(f649,plain,
( nil = sK18
| ~ spl69_2 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f648,plain,
( spl69_2
<=> nil = sK18 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f654,plain,
( neq(sK18,nil)
| spl69_1 ),
inference(subsumption_resolution,[],[f653,f646]) ).
fof(f646,plain,
( nil != sK19
| spl69_1 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f644,plain,
( spl69_1
<=> nil = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f653,plain,
( nil = sK19
| neq(sK18,nil) ),
inference(forward_demodulation,[],[f652,f378]) ).
fof(f378,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( frontsegP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& ( nil != sK18
| nil != sK19 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& 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] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != sK18
| nil != X1 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f251,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != sK18
| nil != X1 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != sK18
| nil != sK19 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != sK18
| nil != sK19 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( frontsegP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& ( nil != sK18
| nil != sK19 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ( frontsegP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& ( nil != sK18
| nil != sK19 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ( ( frontsegP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& ( nil != sK18
| nil != sK19 )
& ! [X4] :
( ~ segmentP(sK18,X4)
| ~ segmentP(sK19,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f98]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& ( nil != X0
| nil != X1 )
& ! [X4] :
( ~ segmentP(X0,X4)
| ~ segmentP(X1,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) )
& 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)
=> ( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( nil = X0
& nil = X1 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( ~ frontsegP(X3,X2)
| ~ neq(X2,nil) )
& ( nil != X2
| nil != X3 ) )
| ( nil = X0
& nil = X1 )
| ? [X4] :
( segmentP(X0,X4)
& segmentP(X1,X4)
& neq(X4,nil)
& ssList(X4) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f652,plain,
( neq(sK18,nil)
| nil = sK21 ),
inference(forward_demodulation,[],[f382,f379]) ).
fof(f379,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f382,plain,
( neq(sK20,nil)
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f7343,plain,
( spl69_1
| ~ spl69_2
| ~ spl69_21
| ~ spl69_29
| spl69_44 ),
inference(avatar_contradiction_clause,[],[f7342]) ).
fof(f7342,plain,
( $false
| spl69_1
| ~ spl69_2
| ~ spl69_21
| ~ spl69_29
| spl69_44 ),
inference(subsumption_resolution,[],[f7297,f3206]) ).
fof(f3206,plain,
( rearsegP(sK19,nil)
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3205,f3002]) ).
fof(f3002,plain,
( ssList(sK66(sK19,sK18))
| ~ spl69_29 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3001,plain,
( spl69_29
<=> ssList(sK66(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).
fof(f3205,plain,
( rearsegP(sK19,nil)
| ~ ssList(sK66(sK19,sK18))
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3203,f394]) ).
fof(f3203,plain,
( rearsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK66(sK19,sK18))
| spl69_1
| ~ spl69_29 ),
inference(resolution,[],[f3172,f450]) ).
fof(f450,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax51) ).
fof(f3172,plain,
( ! [X0] :
( ~ rearsegP(sK66(sK19,sK18),X0)
| rearsegP(sK19,X0)
| ~ ssList(X0) )
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3171,f3002]) ).
fof(f3171,plain,
( ! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(sK66(sK19,sK18),X0)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18)) )
| spl69_1 ),
inference(subsumption_resolution,[],[f3127,f374]) ).
fof(f374,plain,
ssList(sK18),
inference(cnf_transformation,[],[f254]) ).
fof(f3127,plain,
( ! [X0] :
( rearsegP(sK19,X0)
| ~ rearsegP(sK66(sK19,sK18),X0)
| ~ ssList(sK18)
| ~ ssList(X0)
| ~ ssList(sK66(sK19,sK18)) )
| spl69_1 ),
inference(superposition,[],[f592,f2989]) ).
fof(f2989,plain,
( sK19 = app(sK18,sK66(sK19,sK18))
| spl69_1 ),
inference(subsumption_resolution,[],[f2988,f375]) ).
fof(f375,plain,
ssList(sK19),
inference(cnf_transformation,[],[f254]) ).
fof(f2988,plain,
( sK19 = app(sK18,sK66(sK19,sK18))
| ~ ssList(sK19)
| spl69_1 ),
inference(subsumption_resolution,[],[f2972,f374]) ).
fof(f2972,plain,
( sK19 = app(sK18,sK66(sK19,sK18))
| ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_1 ),
inference(resolution,[],[f583,f659]) ).
fof(f659,plain,
( frontsegP(sK19,sK18)
| spl69_1 ),
inference(subsumption_resolution,[],[f658,f646]) ).
fof(f658,plain,
( nil = sK19
| frontsegP(sK19,sK18) ),
inference(forward_demodulation,[],[f657,f378]) ).
fof(f657,plain,
( frontsegP(sK19,sK18)
| nil = sK21 ),
inference(forward_demodulation,[],[f656,f378]) ).
fof(f656,plain,
( frontsegP(sK21,sK18)
| nil = sK21 ),
inference(forward_demodulation,[],[f384,f379]) ).
fof(f384,plain,
( frontsegP(sK21,sK20)
| nil = sK21 ),
inference(cnf_transformation,[],[f254]) ).
fof(f583,plain,
! [X0,X1] :
( ~ frontsegP(X0,X1)
| app(X1,sK66(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f368,plain,
! [X0] :
( ! [X1] :
( ( ( frontsegP(X0,X1)
| ! [X2] :
( app(X1,X2) != X0
| ~ ssList(X2) ) )
& ( ( app(X1,sK66(X0,X1)) = X0
& ssList(sK66(X0,X1)) )
| ~ frontsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66])],[f366,f367]) ).
fof(f367,plain,
! [X0,X1] :
( ? [X3] :
( app(X1,X3) = X0
& ssList(X3) )
=> ( app(X1,sK66(X0,X1)) = X0
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f366,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,[],[f365]) ).
fof(f365,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,[],[f201]) ).
fof(f201,plain,
! [X0] :
( ! [X1] :
( ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f5]) ).
fof(f5,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( frontsegP(X0,X1)
<=> ? [X2] :
( app(X1,X2) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f592,plain,
! [X2,X0,X1] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f207]) ).
fof(f207,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(app(X2,X0),X1)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f50,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( rearsegP(X0,X1)
=> rearsegP(app(X2,X0),X1) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax50) ).
fof(f7297,plain,
( ~ rearsegP(sK19,nil)
| ~ spl69_2
| ~ spl69_21
| spl69_44 ),
inference(superposition,[],[f3954,f649]) ).
fof(f3954,plain,
( ~ rearsegP(sK19,sK18)
| ~ spl69_21
| spl69_44 ),
inference(subsumption_resolution,[],[f3952,f374]) ).
fof(f3952,plain,
( ~ rearsegP(sK19,sK18)
| ~ ssList(sK18)
| ~ spl69_21
| spl69_44 ),
inference(resolution,[],[f3947,f3168]) ).
fof(f3168,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK19),X0)
| ~ rearsegP(sK19,X0)
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3167,f375]) ).
fof(f3167,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK19),X0)
| ~ rearsegP(sK19,X0)
| ~ ssList(X0)
| ~ ssList(sK19) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3123,f2200]) ).
fof(f2200,plain,
( ssList(cons(sK67,nil))
| ~ spl69_21 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2199,plain,
( spl69_21
<=> ssList(cons(sK67,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).
fof(f3123,plain,
! [X0] :
( rearsegP(cons(sK67,sK19),X0)
| ~ rearsegP(sK19,X0)
| ~ ssList(cons(sK67,nil))
| ~ ssList(X0)
| ~ ssList(sK19) ),
inference(superposition,[],[f592,f2709]) ).
fof(f2709,plain,
cons(sK67,sK19) = app(cons(sK67,nil),sK19),
inference(resolution,[],[f1901,f600]) ).
fof(f600,plain,
ssItem(sK67),
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/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f1901,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK19) = app(cons(X0,nil),sK19) ),
inference(resolution,[],[f561,f375]) ).
fof(f561,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/sandbox2/benchmark/theBenchmark.p',ax81) ).
fof(f3947,plain,
( ~ rearsegP(cons(sK67,sK19),sK18)
| spl69_44 ),
inference(avatar_component_clause,[],[f3946]) ).
fof(f3946,plain,
( spl69_44
<=> rearsegP(cons(sK67,sK19),sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).
fof(f7341,plain,
( ~ spl69_2
| ~ spl69_21
| spl69_44 ),
inference(avatar_contradiction_clause,[],[f7340]) ).
fof(f7340,plain,
( $false
| ~ spl69_2
| ~ spl69_21
| spl69_44 ),
inference(subsumption_resolution,[],[f7296,f637]) ).
fof(f637,plain,
rearsegP(nil,nil),
inference(global_subsumption,[],[f385,f384,f383,f382,f381,f380,f379,f378,f377,f376,f375,f374,f386,f387,f388,f389,f390,f391,f392,f393,f394,f395,f396,f397,f398,f399,f400,f401,f402,f403,f404,f405,f406,f407,f408,f409,f410,f412,f636,f414,f413,f416,f415,f419,f418,f635,f420,f421,f422,f423,f424,f427,f634,f425,f633,f429,f428,f432,f431,f437,f607,f435,f434,f438,f440,f439,f445,f609,f443,f442,f446,f449,f448,f447,f450,f451,f452,f453,f454,f455,f456,f457,f460,f459,f458,f461,f462,f463,f465,f464,f467,f466,f611,f469,f468,f471,f479,f478,f477,f476,f475,f474,f612,f480,f481,f490,f489,f488,f487,f486,f485,f484,f632,f491,f492,f502,f501,f500,f499,f498,f497,f496,f495,f615,f503,f504,f514,f513,f512,f511,f510,f509,f508,f507,f616,f515,f516,f526,f525,f524,f523,f522,f521,f520,f519,f617,f527,f529,f528,f537,f536,f535,f534,f533,f532,f531,f618,f538,f540,f539,f548,f547,f546,f545,f544,f543,f542,f619,f549,f620]) ).
fof(f620,plain,
( rearsegP(nil,nil)
| ~ ssList(nil) ),
inference(equality_resolution,[],[f551]) ).
fof(f551,plain,
! [X0] :
( rearsegP(nil,X0)
| nil != X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax52) ).
fof(f549,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/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f619,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,[],[f541]) ).
fof(f541,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(f542,plain,
! [X0] :
( ssItem(sK56(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f543,plain,
! [X0] :
( ssItem(sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f544,plain,
! [X0] :
( ssList(sK58(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f545,plain,
! [X0] :
( ssList(sK59(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f546,plain,
! [X0] :
( ssList(sK60(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f547,plain,
! [X0] :
( sP16(X0)
| app(app(sK58(X0),cons(sK56(X0),sK59(X0))),cons(sK57(X0),sK60(X0))) = X0 ),
inference(cnf_transformation,[],[f346]) ).
fof(f548,plain,
! [X0] :
( ~ lt(sK56(X0),sK57(X0))
| sP16(X0) ),
inference(cnf_transformation,[],[f346]) ).
fof(f539,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(f540,plain,
! [X0] :
( ~ sP17(X0)
| ~ sP16(X0)
| strictorderedP(X0) ),
inference(cnf_transformation,[],[f338]) ).
fof(f538,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/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f618,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,[],[f530]) ).
fof(f530,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(f531,plain,
! [X0] :
( ssItem(sK51(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f532,plain,
! [X0] :
( ssItem(sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f533,plain,
! [X0] :
( ssList(sK53(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f534,plain,
! [X0] :
( ssList(sK54(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f535,plain,
! [X0] :
( ssList(sK55(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f536,plain,
! [X0] :
( sP14(X0)
| app(app(sK53(X0),cons(sK51(X0),sK54(X0))),cons(sK52(X0),sK55(X0))) = X0 ),
inference(cnf_transformation,[],[f337]) ).
fof(f537,plain,
! [X0] :
( ~ leq(sK51(X0),sK52(X0))
| sP14(X0) ),
inference(cnf_transformation,[],[f337]) ).
fof(f528,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(f529,plain,
! [X0] :
( ~ sP15(X0)
| ~ sP14(X0)
| totalorderedP(X0) ),
inference(cnf_transformation,[],[f329]) ).
fof(f527,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/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f617,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,[],[f518]) ).
fof(f518,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(f519,plain,
! [X0] :
( ssItem(sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f520,plain,
! [X0] :
( ssItem(sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f521,plain,
! [X0] :
( ssList(sK48(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f522,plain,
! [X0] :
( ssList(sK49(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f523,plain,
! [X0] :
( ssList(sK50(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f524,plain,
! [X0] :
( sP12(X0)
| app(app(sK48(X0),cons(sK46(X0),sK49(X0))),cons(sK47(X0),sK50(X0))) = X0 ),
inference(cnf_transformation,[],[f328]) ).
fof(f525,plain,
! [X0] :
( leq(sK46(X0),sK47(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f526,plain,
! [X0] :
( leq(sK47(X0),sK46(X0))
| sP12(X0) ),
inference(cnf_transformation,[],[f328]) ).
fof(f516,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(f515,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/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f616,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,[],[f506]) ).
fof(f506,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(f507,plain,
! [X0] :
( ssItem(sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f508,plain,
! [X0] :
( ssItem(sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f509,plain,
! [X0] :
( ssList(sK43(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f510,plain,
! [X0] :
( ssList(sK44(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f511,plain,
! [X0] :
( ssList(sK45(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f512,plain,
! [X0] :
( sP10(X0)
| app(app(sK43(X0),cons(sK41(X0),sK44(X0))),cons(sK42(X0),sK45(X0))) = X0 ),
inference(cnf_transformation,[],[f319]) ).
fof(f513,plain,
! [X0] :
( ~ lt(sK41(X0),sK42(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f514,plain,
! [X0] :
( ~ lt(sK42(X0),sK41(X0))
| sP10(X0) ),
inference(cnf_transformation,[],[f319]) ).
fof(f504,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(f503,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/sandbox2/benchmark/theBenchmark.p',ax9) ).
fof(f615,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,[],[f494]) ).
fof(f494,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(f495,plain,
! [X0] :
( ssItem(sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f496,plain,
! [X0] :
( ssItem(sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f497,plain,
! [X0] :
( ssList(sK38(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f498,plain,
! [X0] :
( ssList(sK39(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f499,plain,
! [X0] :
( ssList(sK40(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f500,plain,
! [X0] :
( sP8(X0)
| app(app(sK38(X0),cons(sK36(X0),sK39(X0))),cons(sK37(X0),sK40(X0))) = X0 ),
inference(cnf_transformation,[],[f310]) ).
fof(f501,plain,
! [X0] :
( ~ leq(sK36(X0),sK37(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f502,plain,
! [X0] :
( ~ leq(sK37(X0),sK36(X0))
| sP8(X0) ),
inference(cnf_transformation,[],[f310]) ).
fof(f492,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(f491,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/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f632,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,[],[f614]) ).
fof(f614,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,[],[f613]) ).
fof(f613,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,[],[f483]) ).
fof(f483,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(f484,plain,
! [X0] :
( ssItem(sK31(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f485,plain,
! [X0] :
( ssItem(sK32(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f486,plain,
! [X0] :
( ssList(sK33(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f487,plain,
! [X0] :
( ssList(sK34(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f488,plain,
! [X0] :
( ssList(sK35(X0))
| sP6(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f489,plain,
! [X0] :
( sP6(X0)
| app(app(sK33(X0),cons(sK31(X0),sK34(X0))),cons(sK32(X0),sK35(X0))) = X0 ),
inference(cnf_transformation,[],[f301]) ).
fof(f490,plain,
! [X0] :
( sP6(X0)
| sK31(X0) = sK32(X0) ),
inference(cnf_transformation,[],[f301]) ).
fof(f481,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(f480,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/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f612,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,[],[f473]) ).
fof(f473,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(f474,plain,
! [X0] :
( ssItem(sK27(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f475,plain,
! [X0] :
( ssItem(sK28(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f476,plain,
! [X0] :
( ssList(sK29(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f477,plain,
! [X0] :
( ssList(sK30(X0))
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f478,plain,
! [X0] :
( sP4(X0)
| app(sK29(X0),cons(sK27(X0),cons(sK28(X0),sK30(X0)))) = X0 ),
inference(cnf_transformation,[],[f292]) ).
fof(f479,plain,
! [X0] :
( sK27(X0) != sK28(X0)
| sP4(X0) ),
inference(cnf_transformation,[],[f292]) ).
fof(f471,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] :
( ssItem(sK26(X0))
| ~ singletonP(X0)
| ~ 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/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f469,plain,
! [X0] :
( ~ singletonP(X0)
| cons(sK26(X0),nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f611,plain,
! [X1] :
( singletonP(cons(X1,nil))
| ~ ssItem(X1)
| ~ ssList(cons(X1,nil)) ),
inference(equality_resolution,[],[f470]) ).
fof(f470,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f466,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/sandbox2/benchmark/theBenchmark.p',ax76) ).
fof(f467,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| tl(X0) = sK25(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f464,plain,
! [X0] :
( ssItem(sK24(X0))
| nil = X0
| ~ ssList(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/sandbox2/benchmark/theBenchmark.p',ax75) ).
fof(f465,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| hd(X0) = sK24(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f463,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/sandbox2/benchmark/theBenchmark.p',ax78) ).
fof(f462,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/sandbox2/benchmark/theBenchmark.p',ax24) ).
fof(f461,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/sandbox2/benchmark/theBenchmark.p',ax22) ).
fof(f458,plain,
! [X0] :
( ssList(sK22(X0))
| nil = X0
| ~ ssList(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/sandbox2/benchmark/theBenchmark.p',ax20) ).
fof(f459,plain,
! [X0] :
( ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f460,plain,
! [X0] :
( ~ ssList(X0)
| nil = X0
| cons(sK23(X0),sK22(X0)) = X0 ),
inference(cnf_transformation,[],[f276]) ).
fof(f457,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/sandbox2/benchmark/theBenchmark.p',ax28) ).
fof(f456,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/sandbox2/benchmark/theBenchmark.p',ax84) ).
fof(f455,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f145]) ).
fof(f145,plain,
! [X0] :
( segmentP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f55]) ).
fof(f55,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax55) ).
fof(f454,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/sandbox2/benchmark/theBenchmark.p',ax49) ).
fof(f453,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f143]) ).
fof(f143,plain,
! [X0] :
( frontsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f45]) ).
fof(f45,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax45) ).
fof(f452,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f142]) ).
fof(f142,plain,
! [X0] :
( frontsegP(X0,X0)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f42]) ).
fof(f42,axiom,
! [X0] :
( ssList(X0)
=> frontsegP(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax42) ).
fof(f451,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax57) ).
fof(f447,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/sandbox2/benchmark/theBenchmark.p',ax36) ).
fof(f448,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f449,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f273]) ).
fof(f446,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/sandbox2/benchmark/theBenchmark.p',ax70) ).
fof(f442,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(f443,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f609,plain,
! [X1] : sP2(nil,X1),
inference(equality_resolution,[],[f444]) ).
fof(f444,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f445,plain,
! [X0,X1] :
( ~ lt(X1,hd(X0))
| sP2(X0,X1)
| ~ strictorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f439,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(f440,plain,
! [X0,X1] :
( strictorderedP(cons(X0,X1))
| ~ sP2(X1,X0)
| ~ sP3(X0,X1) ),
inference(cnf_transformation,[],[f268]) ).
fof(f438,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/sandbox2/benchmark/theBenchmark.p',ax67) ).
fof(f434,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(f435,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f607,plain,
! [X1] : sP0(nil,X1),
inference(equality_resolution,[],[f436]) ).
fof(f436,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f437,plain,
! [X0,X1] :
( ~ leq(X1,hd(X0))
| sP0(X0,X1)
| ~ totalorderedP(X0)
| nil = X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f431,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(f432,plain,
! [X0,X1] :
( totalorderedP(cons(X0,X1))
| ~ sP0(X1,X0)
| ~ sP1(X0,X1) ),
inference(cnf_transformation,[],[f264]) ).
fof(f428,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/sandbox2/benchmark/theBenchmark.p',ax44) ).
fof(f429,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(f633,plain,
! [X2,X3,X1] :
( frontsegP(cons(X1,X2),cons(X1,X3))
| ~ frontsegP(X2,X3)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f606]) ).
fof(f606,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,[],[f430]) ).
fof(f430,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(f425,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(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/sandbox2/benchmark/theBenchmark.p',ax37) ).
fof(f634,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f605]) ).
fof(f605,plain,
! [X2,X1] :
( memberP(cons(X1,X2),X1)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f426]) ).
fof(f426,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| X0 != X1
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f427,plain,
! [X2,X0,X1] :
( memberP(cons(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f261]) ).
fof(f424,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/sandbox2/benchmark/theBenchmark.p',ax34) ).
fof(f423,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/sandbox2/benchmark/theBenchmark.p',ax91) ).
fof(f422,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/sandbox2/benchmark/theBenchmark.p',ax30) ).
fof(f421,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/sandbox2/benchmark/theBenchmark.p',ax88) ).
fof(f420,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/sandbox2/benchmark/theBenchmark.p',ax95) ).
fof(f635,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f604]) ).
fof(f604,plain,
! [X1] :
( ~ lt(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f417]) ).
fof(f417,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/sandbox2/benchmark/theBenchmark.p',ax93) ).
fof(f418,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f419,plain,
! [X0,X1] :
( lt(X0,X1)
| ~ leq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f259]) ).
fof(f415,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/sandbox2/benchmark/theBenchmark.p',ax32) ).
fof(f416,plain,
! [X0,X1] :
( geq(X0,X1)
| ~ leq(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f257]) ).
fof(f413,plain,
! [X0,X1] :
( ~ gt(X0,X1)
| lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
! [X0] :
( ! [X1] :
( ( ( gt(X0,X1)
| ~ lt(X1,X0) )
& ( lt(X1,X0)
| ~ gt(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f122]) ).
fof(f122,plain,
! [X0] :
( ! [X1] :
( ( gt(X0,X1)
<=> lt(X1,X0) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f35]) ).
fof(f35,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( gt(X0,X1)
<=> lt(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax35) ).
fof(f414,plain,
! [X0,X1] :
( gt(X0,X1)
| ~ lt(X1,X0)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f256]) ).
fof(f636,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1) ),
inference(duplicate_literal_removal,[],[f603]) ).
fof(f603,plain,
! [X1] :
( ~ neq(X1,X1)
| ~ ssItem(X1)
| ~ ssItem(X1) ),
inference(equality_resolution,[],[f411]) ).
fof(f411,plain,
! [X0,X1] :
( X0 != X1
| ~ neq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f255,plain,
! [X0] :
( ! [X1] :
( ( ( neq(X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ neq(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f121]) ).
fof(f121,plain,
! [X0] :
( ! [X1] :
( ( neq(X0,X1)
<=> X0 != X1 )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ( neq(X0,X1)
<=> X0 != X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f412,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f255]) ).
fof(f410,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/sandbox2/benchmark/theBenchmark.p',ax29) ).
fof(f409,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/sandbox2/benchmark/theBenchmark.p',ax87) ).
fof(f408,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/sandbox2/benchmark/theBenchmark.p',ax33) ).
fof(f407,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/sandbox2/benchmark/theBenchmark.p',ax92) ).
fof(f406,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/sandbox2/benchmark/theBenchmark.p',ax94) ).
fof(f405,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/sandbox2/benchmark/theBenchmark.p',ax65) ).
fof(f404,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/sandbox2/benchmark/theBenchmark.p',ax68) ).
fof(f403,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f108]) ).
fof(f108,plain,
! [X0] :
( strictorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f63]) ).
fof(f63,axiom,
! [X0] :
( ssItem(X0)
=> strictorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax63) ).
fof(f402,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f107]) ).
fof(f107,plain,
! [X0] :
( totalorderP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f61]) ).
fof(f61,axiom,
! [X0] :
( ssItem(X0)
=> totalorderP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax61) ).
fof(f401,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/sandbox2/benchmark/theBenchmark.p',ax59) ).
fof(f400,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f105]) ).
fof(f105,plain,
! [X0] :
( duplicatefreeP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f71]) ).
fof(f71,axiom,
! [X0] :
( ssItem(X0)
=> duplicatefreeP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax71) ).
fof(f399,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f104]) ).
fof(f104,plain,
! [X0] :
( equalelemsP(cons(X0,nil))
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f73]) ).
fof(f73,axiom,
! [X0] :
( ssItem(X0)
=> equalelemsP(cons(X0,nil)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax73) ).
fof(f398,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/sandbox2/benchmark/theBenchmark.p',ax31) ).
fof(f397,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/sandbox2/benchmark/theBenchmark.p',ax89) ).
fof(f396,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/sandbox2/benchmark/theBenchmark.p',ax90) ).
fof(f395,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/sandbox2/benchmark/theBenchmark.p',ax38) ).
fof(f393,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax66) ).
fof(f392,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax69) ).
fof(f391,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax62) ).
fof(f390,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax64) ).
fof(f389,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax60) ).
fof(f388,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax72) ).
fof(f387,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax74) ).
fof(f386,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox2/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,
! [X4] :
( ~ segmentP(sK19,X4)
| ~ segmentP(sK18,X4)
| ~ neq(X4,nil)
| ~ ssList(X4) ),
inference(cnf_transformation,[],[f254]) ).
fof(f381,plain,
( nil != sK18
| nil != sK19 ),
inference(cnf_transformation,[],[f254]) ).
fof(f383,plain,
( neq(sK20,nil)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f385,plain,
( frontsegP(sK21,sK20)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f7296,plain,
( ~ rearsegP(nil,nil)
| ~ spl69_2
| ~ spl69_21
| spl69_44 ),
inference(superposition,[],[f3953,f649]) ).
fof(f3953,plain,
( ~ rearsegP(nil,sK18)
| ~ spl69_21
| spl69_44 ),
inference(subsumption_resolution,[],[f3951,f374]) ).
fof(f3951,plain,
( ~ rearsegP(nil,sK18)
| ~ ssList(sK18)
| ~ spl69_21
| spl69_44 ),
inference(resolution,[],[f3947,f3140]) ).
fof(f3140,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK19),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3139,f394]) ).
fof(f3139,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK19),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3104,f2725]) ).
fof(f2725,plain,
( ssList(cons(sK67,sK19))
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2724,f2200]) ).
fof(f2724,plain,
( ssList(cons(sK67,sK19))
| ~ ssList(cons(sK67,nil)) ),
inference(subsumption_resolution,[],[f2715,f375]) ).
fof(f2715,plain,
( ssList(cons(sK67,sK19))
| ~ ssList(sK19)
| ~ ssList(cons(sK67,nil)) ),
inference(superposition,[],[f566,f2709]) ).
fof(f566,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/sandbox2/benchmark/theBenchmark.p',ax26) ).
fof(f3104,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK19),X0)
| ~ rearsegP(nil,X0)
| ~ ssList(cons(sK67,sK19))
| ~ ssList(X0)
| ~ ssList(nil) )
| ~ spl69_21 ),
inference(superposition,[],[f592,f2736]) ).
fof(f2736,plain,
( cons(sK67,sK19) = app(cons(sK67,sK19),nil)
| ~ spl69_21 ),
inference(resolution,[],[f2725,f456]) ).
fof(f7132,plain,
( spl69_1
| spl69_2
| ~ spl69_29 ),
inference(avatar_contradiction_clause,[],[f7131]) ).
fof(f7131,plain,
( $false
| spl69_1
| spl69_2
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f7130,f374]) ).
fof(f7130,plain,
( ~ ssList(sK18)
| spl69_1
| spl69_2
| ~ spl69_29 ),
inference(resolution,[],[f7125,f455]) ).
fof(f7125,plain,
( ~ segmentP(sK18,sK18)
| spl69_1
| spl69_2
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f7124,f374]) ).
fof(f7124,plain,
( ~ segmentP(sK18,sK18)
| ~ ssList(sK18)
| spl69_1
| spl69_2
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f7120,f1082]) ).
fof(f1082,plain,
( neq(sK18,nil)
| spl69_2 ),
inference(subsumption_resolution,[],[f1081,f650]) ).
fof(f650,plain,
( nil != sK18
| spl69_2 ),
inference(avatar_component_clause,[],[f648]) ).
fof(f1081,plain,
( nil = sK18
| neq(sK18,nil) ),
inference(forward_demodulation,[],[f655,f379]) ).
fof(f655,plain,
( neq(sK18,nil)
| nil = sK20 ),
inference(forward_demodulation,[],[f383,f379]) ).
fof(f7120,plain,
( ~ segmentP(sK18,sK18)
| ~ neq(sK18,nil)
| ~ ssList(sK18)
| spl69_1
| ~ spl69_29 ),
inference(resolution,[],[f7119,f380]) ).
fof(f7119,plain,
( segmentP(sK19,sK18)
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f7118,f375]) ).
fof(f7118,plain,
( ~ ssList(sK19)
| segmentP(sK19,sK18)
| spl69_1
| ~ spl69_29 ),
inference(forward_demodulation,[],[f7117,f2989]) ).
fof(f7117,plain,
( segmentP(sK19,sK18)
| ~ ssList(app(sK18,sK66(sK19,sK18)))
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f7108,f3002]) ).
fof(f7108,plain,
( segmentP(sK19,sK18)
| ~ ssList(app(sK18,sK66(sK19,sK18)))
| ~ ssList(sK66(sK19,sK18))
| spl69_1 ),
inference(superposition,[],[f7034,f2989]) ).
fof(f7034,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(app(sK18,X0))
| ~ ssList(X0) ),
inference(forward_demodulation,[],[f7033,f703]) ).
fof(f703,plain,
sK18 = app(nil,sK18),
inference(resolution,[],[f457,f374]) ).
fof(f7033,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(app(app(nil,sK18),X0)) ),
inference(subsumption_resolution,[],[f7032,f374]) ).
fof(f7032,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(sK18)
| ~ ssList(app(app(nil,sK18),X0)) ),
inference(subsumption_resolution,[],[f6927,f394]) ).
fof(f6927,plain,
! [X0] :
( segmentP(app(sK18,X0),sK18)
| ~ ssList(X0)
| ~ ssList(nil)
| ~ ssList(sK18)
| ~ ssList(app(app(nil,sK18),X0)) ),
inference(superposition,[],[f626,f703]) ).
fof(f626,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,[],[f581]) ).
fof(f581,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/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f6147,plain,
~ spl69_61,
inference(avatar_contradiction_clause,[],[f6146]) ).
fof(f6146,plain,
( $false
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6145,f394]) ).
fof(f6145,plain,
( ~ ssList(nil)
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6124,f601]) ).
fof(f601,plain,
ssItem(sK68),
inference(cnf_transformation,[],[f373]) ).
fof(f6124,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl69_61 ),
inference(trivial_inequality_removal,[],[f6120]) ).
fof(f6120,plain,
( nil != nil
| ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl69_61 ),
inference(superposition,[],[f558,f6079]) ).
fof(f6079,plain,
( nil = cons(sK68,nil)
| ~ spl69_61 ),
inference(avatar_component_clause,[],[f6077]) ).
fof(f6077,plain,
( spl69_61
<=> nil = cons(sK68,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_61])]) ).
fof(f558,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/sandbox2/benchmark/theBenchmark.p',ax18) ).
fof(f6144,plain,
~ spl69_61,
inference(avatar_contradiction_clause,[],[f6143]) ).
fof(f6143,plain,
( $false
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6142,f394]) ).
fof(f6142,plain,
( ~ ssList(nil)
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6125,f601]) ).
fof(f6125,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl69_61 ),
inference(trivial_inequality_removal,[],[f6119]) ).
fof(f6119,plain,
( nil != nil
| ~ ssItem(sK68)
| ~ ssList(nil)
| ~ spl69_61 ),
inference(superposition,[],[f557,f6079]) ).
fof(f557,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/sandbox2/benchmark/theBenchmark.p',ax21) ).
fof(f6135,plain,
( ~ spl69_23
| ~ spl69_61 ),
inference(avatar_contradiction_clause,[],[f6134]) ).
fof(f6134,plain,
( $false
| ~ spl69_23
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6133,f2257]) ).
fof(f2257,plain,
( ssList(cons(sK68,nil))
| ~ spl69_23 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2256,plain,
( spl69_23
<=> ssList(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).
fof(f6133,plain,
( ~ ssList(cons(sK68,nil))
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6132,f601]) ).
fof(f6132,plain,
( ~ ssItem(sK68)
| ~ ssList(cons(sK68,nil))
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6107,f386]) ).
fof(f6107,plain,
( singletonP(nil)
| ~ ssItem(sK68)
| ~ ssList(cons(sK68,nil))
| ~ spl69_61 ),
inference(superposition,[],[f611,f6079]) ).
fof(f6131,plain,
( spl69_40
| ~ spl69_61 ),
inference(avatar_contradiction_clause,[],[f6130]) ).
fof(f6130,plain,
( $false
| spl69_40
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6129,f3546]) ).
fof(f3546,plain,
( sK19 != cons(sK68,sK19)
| spl69_40 ),
inference(avatar_component_clause,[],[f3545]) ).
fof(f3545,plain,
( spl69_40
<=> sK19 = cons(sK68,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).
fof(f6129,plain,
( sK19 = cons(sK68,sK19)
| ~ spl69_61 ),
inference(forward_demodulation,[],[f6096,f704]) ).
fof(f704,plain,
sK19 = app(nil,sK19),
inference(resolution,[],[f457,f375]) ).
fof(f6096,plain,
( app(nil,sK19) = cons(sK68,sK19)
| ~ spl69_61 ),
inference(superposition,[],[f2710,f6079]) ).
fof(f2710,plain,
cons(sK68,sK19) = app(cons(sK68,nil),sK19),
inference(resolution,[],[f1901,f601]) ).
fof(f6128,plain,
( spl69_28
| ~ spl69_61 ),
inference(avatar_contradiction_clause,[],[f6127]) ).
fof(f6127,plain,
( $false
| spl69_28
| ~ spl69_61 ),
inference(subsumption_resolution,[],[f6126,f2566]) ).
fof(f2566,plain,
( sK18 != cons(sK68,sK18)
| spl69_28 ),
inference(avatar_component_clause,[],[f2565]) ).
fof(f2565,plain,
( spl69_28
<=> sK18 = cons(sK68,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).
fof(f6126,plain,
( sK18 = cons(sK68,sK18)
| ~ spl69_61 ),
inference(forward_demodulation,[],[f6087,f703]) ).
fof(f6087,plain,
( app(nil,sK18) = cons(sK68,sK18)
| ~ spl69_61 ),
inference(superposition,[],[f2188,f6079]) ).
fof(f2188,plain,
cons(sK68,sK18) = app(cons(sK68,nil),sK18),
inference(resolution,[],[f1900,f601]) ).
fof(f1900,plain,
! [X0] :
( ~ ssItem(X0)
| cons(X0,sK18) = app(cons(X0,nil),sK18) ),
inference(resolution,[],[f561,f374]) ).
fof(f6084,plain,
( spl69_61
| spl69_62
| ~ spl69_23 ),
inference(avatar_split_clause,[],[f2280,f2256,f6081,f6077]) ).
fof(f6081,plain,
( spl69_62
<=> sK68 = sK24(cons(sK68,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_62])]) ).
fof(f2280,plain,
( sK68 = sK24(cons(sK68,nil))
| nil = cons(sK68,nil)
| ~ spl69_23 ),
inference(forward_demodulation,[],[f2272,f1196]) ).
fof(f1196,plain,
sK68 = hd(cons(sK68,nil)),
inference(resolution,[],[f978,f601]) ).
fof(f978,plain,
! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,nil)) = X0 ),
inference(resolution,[],[f560,f394]) ).
fof(f560,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/sandbox2/benchmark/theBenchmark.p',ax23) ).
fof(f2272,plain,
( nil = cons(sK68,nil)
| hd(cons(sK68,nil)) = sK24(cons(sK68,nil))
| ~ spl69_23 ),
inference(resolution,[],[f2257,f465]) ).
fof(f6057,plain,
~ spl69_59,
inference(avatar_contradiction_clause,[],[f6056]) ).
fof(f6056,plain,
( $false
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6055,f394]) ).
fof(f6055,plain,
( ~ ssList(nil)
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6034,f600]) ).
fof(f6034,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_59 ),
inference(trivial_inequality_removal,[],[f6030]) ).
fof(f6030,plain,
( nil != nil
| ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_59 ),
inference(superposition,[],[f558,f5989]) ).
fof(f5989,plain,
( nil = cons(sK67,nil)
| ~ spl69_59 ),
inference(avatar_component_clause,[],[f5987]) ).
fof(f5987,plain,
( spl69_59
<=> nil = cons(sK67,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_59])]) ).
fof(f6054,plain,
~ spl69_59,
inference(avatar_contradiction_clause,[],[f6053]) ).
fof(f6053,plain,
( $false
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6052,f394]) ).
fof(f6052,plain,
( ~ ssList(nil)
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6035,f600]) ).
fof(f6035,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_59 ),
inference(trivial_inequality_removal,[],[f6029]) ).
fof(f6029,plain,
( nil != nil
| ~ ssItem(sK67)
| ~ ssList(nil)
| ~ spl69_59 ),
inference(superposition,[],[f557,f5989]) ).
fof(f6045,plain,
( ~ spl69_21
| ~ spl69_59 ),
inference(avatar_contradiction_clause,[],[f6044]) ).
fof(f6044,plain,
( $false
| ~ spl69_21
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6043,f2200]) ).
fof(f6043,plain,
( ~ ssList(cons(sK67,nil))
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6042,f600]) ).
fof(f6042,plain,
( ~ ssItem(sK67)
| ~ ssList(cons(sK67,nil))
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6017,f386]) ).
fof(f6017,plain,
( singletonP(nil)
| ~ ssItem(sK67)
| ~ ssList(cons(sK67,nil))
| ~ spl69_59 ),
inference(superposition,[],[f611,f5989]) ).
fof(f6041,plain,
( spl69_38
| ~ spl69_59 ),
inference(avatar_contradiction_clause,[],[f6040]) ).
fof(f6040,plain,
( $false
| spl69_38
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6039,f3490]) ).
fof(f3490,plain,
( sK19 != cons(sK67,sK19)
| spl69_38 ),
inference(avatar_component_clause,[],[f3489]) ).
fof(f3489,plain,
( spl69_38
<=> sK19 = cons(sK67,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).
fof(f6039,plain,
( sK19 = cons(sK67,sK19)
| ~ spl69_59 ),
inference(forward_demodulation,[],[f6006,f704]) ).
fof(f6006,plain,
( app(nil,sK19) = cons(sK67,sK19)
| ~ spl69_59 ),
inference(superposition,[],[f2709,f5989]) ).
fof(f6038,plain,
( spl69_26
| ~ spl69_59 ),
inference(avatar_contradiction_clause,[],[f6037]) ).
fof(f6037,plain,
( $false
| spl69_26
| ~ spl69_59 ),
inference(subsumption_resolution,[],[f6036,f2557]) ).
fof(f2557,plain,
( sK18 != cons(sK67,sK18)
| spl69_26 ),
inference(avatar_component_clause,[],[f2556]) ).
fof(f2556,plain,
( spl69_26
<=> sK18 = cons(sK67,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).
fof(f6036,plain,
( sK18 = cons(sK67,sK18)
| ~ spl69_59 ),
inference(forward_demodulation,[],[f5997,f703]) ).
fof(f5997,plain,
( app(nil,sK18) = cons(sK67,sK18)
| ~ spl69_59 ),
inference(superposition,[],[f2187,f5989]) ).
fof(f2187,plain,
cons(sK67,sK18) = app(cons(sK67,nil),sK18),
inference(resolution,[],[f1900,f600]) ).
fof(f5994,plain,
( spl69_59
| spl69_60
| ~ spl69_21 ),
inference(avatar_split_clause,[],[f2223,f2199,f5991,f5987]) ).
fof(f5991,plain,
( spl69_60
<=> sK67 = sK24(cons(sK67,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_60])]) ).
fof(f2223,plain,
( sK67 = sK24(cons(sK67,nil))
| nil = cons(sK67,nil)
| ~ spl69_21 ),
inference(forward_demodulation,[],[f2215,f1195]) ).
fof(f1195,plain,
sK67 = hd(cons(sK67,nil)),
inference(resolution,[],[f978,f600]) ).
fof(f2215,plain,
( nil = cons(sK67,nil)
| hd(cons(sK67,nil)) = sK24(cons(sK67,nil))
| ~ spl69_21 ),
inference(resolution,[],[f2200,f465]) ).
fof(f5885,plain,
( spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55
| spl69_57 ),
inference(avatar_contradiction_clause,[],[f5884]) ).
fof(f5884,plain,
( $false
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55
| spl69_57 ),
inference(subsumption_resolution,[],[f5883,f375]) ).
fof(f5883,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55
| spl69_57 ),
inference(subsumption_resolution,[],[f5882,f5791]) ).
fof(f5791,plain,
( singletonP(sK19)
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f5790,f4555]) ).
fof(f4555,plain,
( ssList(cons(hd(sK19),nil))
| ~ spl69_49 ),
inference(avatar_component_clause,[],[f4554]) ).
fof(f4554,plain,
( spl69_49
<=> ssList(cons(hd(sK19),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).
fof(f5790,plain,
( singletonP(sK19)
| ~ ssList(cons(hd(sK19),nil))
| spl69_1
| ~ spl69_13
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f5766,f1525]) ).
fof(f1525,plain,
( ssItem(hd(sK19))
| ~ spl69_13 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1524,plain,
( spl69_13
<=> ssItem(hd(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).
fof(f5766,plain,
( singletonP(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(cons(hd(sK19),nil))
| spl69_1
| ~ spl69_55 ),
inference(superposition,[],[f611,f5739]) ).
fof(f5739,plain,
( sK19 = cons(hd(sK19),nil)
| spl69_1
| ~ spl69_55 ),
inference(superposition,[],[f1477,f5649]) ).
fof(f5649,plain,
( nil = tl(sK19)
| ~ spl69_55 ),
inference(avatar_component_clause,[],[f5647]) ).
fof(f5647,plain,
( spl69_55
<=> nil = tl(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).
fof(f1477,plain,
( sK19 = cons(hd(sK19),tl(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1444,f646]) ).
fof(f1444,plain,
( nil = sK19
| sK19 = cons(hd(sK19),tl(sK19)) ),
inference(resolution,[],[f463,f375]) ).
fof(f5882,plain,
( ~ singletonP(sK19)
| ~ ssList(sK19)
| spl69_57 ),
inference(resolution,[],[f5876,f468]) ).
fof(f5876,plain,
( ~ ssItem(sK26(sK19))
| spl69_57 ),
inference(avatar_component_clause,[],[f5874]) ).
fof(f5874,plain,
( spl69_57
<=> ssItem(sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_57])]) ).
fof(f5881,plain,
( ~ spl69_57
| spl69_58
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55 ),
inference(avatar_split_clause,[],[f5860,f5647,f4554,f1524,f644,f5878,f5874]) ).
fof(f5878,plain,
( spl69_58
<=> memberP(sK19,sK26(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_58])]) ).
fof(f5860,plain,
( memberP(sK19,sK26(sK19))
| ~ ssItem(sK26(sK19))
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f5850,f394]) ).
fof(f5850,plain,
( memberP(sK19,sK26(sK19))
| ~ ssList(nil)
| ~ ssItem(sK26(sK19))
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55 ),
inference(superposition,[],[f634,f5815]) ).
fof(f5815,plain,
( sK19 = cons(sK26(sK19),nil)
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55 ),
inference(subsumption_resolution,[],[f5812,f375]) ).
fof(f5812,plain,
( sK19 = cons(sK26(sK19),nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_13
| ~ spl69_49
| ~ spl69_55 ),
inference(resolution,[],[f5791,f469]) ).
fof(f5654,plain,
( spl69_55
| spl69_56
| spl69_1
| ~ spl69_9
| ~ spl69_13
| ~ spl69_17 ),
inference(avatar_split_clause,[],[f4166,f1735,f1524,f1421,f644,f5651,f5647]) ).
fof(f5651,plain,
( spl69_56
<=> hd(tl(sK19)) = sK24(tl(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).
fof(f1421,plain,
( spl69_9
<=> ssItem(sK23(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).
fof(f1735,plain,
( spl69_17
<=> ssList(sK22(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).
fof(f4166,plain,
( hd(tl(sK19)) = sK24(tl(sK19))
| nil = tl(sK19)
| spl69_1
| ~ spl69_9
| ~ spl69_13
| ~ spl69_17 ),
inference(forward_demodulation,[],[f4165,f2010]) ).
fof(f2010,plain,
( tl(sK19) = sK22(sK19)
| spl69_1
| ~ spl69_9
| ~ spl69_13
| ~ spl69_17 ),
inference(forward_demodulation,[],[f1988,f1801]) ).
fof(f1801,plain,
( sK19 = cons(hd(sK19),sK22(sK19))
| spl69_1
| ~ spl69_9
| ~ spl69_17 ),
inference(superposition,[],[f1374,f1799]) ).
fof(f1799,plain,
( hd(sK19) = sK23(sK19)
| spl69_1
| ~ spl69_9
| ~ spl69_17 ),
inference(forward_demodulation,[],[f1779,f1374]) ).
fof(f1779,plain,
( sK23(sK19) = hd(cons(sK23(sK19),sK22(sK19)))
| ~ spl69_9
| ~ spl69_17 ),
inference(resolution,[],[f1754,f1422]) ).
fof(f1422,plain,
( ssItem(sK23(sK19))
| ~ spl69_9 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1754,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(sK19))) = X0 )
| ~ spl69_17 ),
inference(resolution,[],[f1736,f560]) ).
fof(f1736,plain,
( ssList(sK22(sK19))
| ~ spl69_17 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1374,plain,
( sK19 = cons(sK23(sK19),sK22(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1341,f646]) ).
fof(f1341,plain,
( nil = sK19
| sK19 = cons(sK23(sK19),sK22(sK19)) ),
inference(resolution,[],[f460,f375]) ).
fof(f1988,plain,
( sK22(sK19) = tl(cons(hd(sK19),sK22(sK19)))
| ~ spl69_13
| ~ spl69_17 ),
inference(resolution,[],[f1753,f1525]) ).
fof(f1753,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(sK19) = tl(cons(X0,sK22(sK19))) )
| ~ spl69_17 ),
inference(resolution,[],[f1736,f559]) ).
fof(f559,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/sandbox2/benchmark/theBenchmark.p',ax25) ).
fof(f4165,plain,
( nil = tl(sK19)
| hd(sK22(sK19)) = sK24(sK22(sK19))
| spl69_1
| ~ spl69_9
| ~ spl69_13
| ~ spl69_17 ),
inference(forward_demodulation,[],[f1751,f2010]) ).
fof(f1751,plain,
( nil = sK22(sK19)
| hd(sK22(sK19)) = sK24(sK22(sK19))
| ~ spl69_17 ),
inference(resolution,[],[f1736,f465]) ).
fof(f5641,plain,
( spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51
| spl69_53 ),
inference(avatar_contradiction_clause,[],[f5640]) ).
fof(f5640,plain,
( $false
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51
| spl69_53 ),
inference(subsumption_resolution,[],[f5639,f374]) ).
fof(f5639,plain,
( ~ ssList(sK18)
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51
| spl69_53 ),
inference(subsumption_resolution,[],[f5638,f5418]) ).
fof(f5418,plain,
( singletonP(sK18)
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f5417,f4191]) ).
fof(f4191,plain,
( ssList(cons(hd(sK18),nil))
| ~ spl69_47 ),
inference(avatar_component_clause,[],[f4190]) ).
fof(f4190,plain,
( spl69_47
<=> ssList(cons(hd(sK18),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).
fof(f5417,plain,
( singletonP(sK18)
| ~ ssList(cons(hd(sK18),nil))
| spl69_2
| ~ spl69_11
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f5397,f1506]) ).
fof(f1506,plain,
( ssItem(hd(sK18))
| ~ spl69_11 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1505,plain,
( spl69_11
<=> ssItem(hd(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).
fof(f5397,plain,
( singletonP(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(cons(hd(sK18),nil))
| spl69_2
| ~ spl69_51 ),
inference(superposition,[],[f611,f5370]) ).
fof(f5370,plain,
( sK18 = cons(hd(sK18),nil)
| spl69_2
| ~ spl69_51 ),
inference(superposition,[],[f1476,f5364]) ).
fof(f5364,plain,
( nil = tl(sK18)
| ~ spl69_51 ),
inference(avatar_component_clause,[],[f5362]) ).
fof(f5362,plain,
( spl69_51
<=> nil = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).
fof(f1476,plain,
( sK18 = cons(hd(sK18),tl(sK18))
| spl69_2 ),
inference(subsumption_resolution,[],[f1443,f650]) ).
fof(f1443,plain,
( nil = sK18
| sK18 = cons(hd(sK18),tl(sK18)) ),
inference(resolution,[],[f463,f374]) ).
fof(f5638,plain,
( ~ singletonP(sK18)
| ~ ssList(sK18)
| spl69_53 ),
inference(resolution,[],[f5632,f468]) ).
fof(f5632,plain,
( ~ ssItem(sK26(sK18))
| spl69_53 ),
inference(avatar_component_clause,[],[f5630]) ).
fof(f5630,plain,
( spl69_53
<=> ssItem(sK26(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).
fof(f5637,plain,
( ~ spl69_53
| spl69_54
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51 ),
inference(avatar_split_clause,[],[f5535,f5362,f4190,f1505,f648,f5634,f5630]) ).
fof(f5634,plain,
( spl69_54
<=> memberP(sK18,sK26(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).
fof(f5535,plain,
( memberP(sK18,sK26(sK18))
| ~ ssItem(sK26(sK18))
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f5529,f394]) ).
fof(f5529,plain,
( memberP(sK18,sK26(sK18))
| ~ ssList(nil)
| ~ ssItem(sK26(sK18))
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51 ),
inference(superposition,[],[f634,f5500]) ).
fof(f5500,plain,
( sK18 = cons(sK26(sK18),nil)
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51 ),
inference(subsumption_resolution,[],[f5497,f374]) ).
fof(f5497,plain,
( sK18 = cons(sK26(sK18),nil)
| ~ ssList(sK18)
| spl69_2
| ~ spl69_11
| ~ spl69_47
| ~ spl69_51 ),
inference(resolution,[],[f5418,f469]) ).
fof(f5369,plain,
( spl69_51
| spl69_52
| spl69_2
| ~ spl69_7
| ~ spl69_11
| ~ spl69_15 ),
inference(avatar_split_clause,[],[f4108,f1638,f1505,f1402,f648,f5366,f5362]) ).
fof(f5366,plain,
( spl69_52
<=> hd(tl(sK18)) = sK24(tl(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).
fof(f1402,plain,
( spl69_7
<=> ssItem(sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).
fof(f1638,plain,
( spl69_15
<=> ssList(sK22(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).
fof(f4108,plain,
( hd(tl(sK18)) = sK24(tl(sK18))
| nil = tl(sK18)
| spl69_2
| ~ spl69_7
| ~ spl69_11
| ~ spl69_15 ),
inference(forward_demodulation,[],[f4107,f1858]) ).
fof(f1858,plain,
( tl(sK18) = sK22(sK18)
| spl69_2
| ~ spl69_7
| ~ spl69_11
| ~ spl69_15 ),
inference(forward_demodulation,[],[f1835,f1692]) ).
fof(f1692,plain,
( sK18 = cons(hd(sK18),sK22(sK18))
| spl69_2
| ~ spl69_7
| ~ spl69_15 ),
inference(superposition,[],[f1373,f1690]) ).
fof(f1690,plain,
( hd(sK18) = sK23(sK18)
| spl69_2
| ~ spl69_7
| ~ spl69_15 ),
inference(forward_demodulation,[],[f1670,f1373]) ).
fof(f1670,plain,
( sK23(sK18) = hd(cons(sK23(sK18),sK22(sK18)))
| ~ spl69_7
| ~ spl69_15 ),
inference(resolution,[],[f1657,f1403]) ).
fof(f1403,plain,
( ssItem(sK23(sK18))
| ~ spl69_7 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1657,plain,
( ! [X0] :
( ~ ssItem(X0)
| hd(cons(X0,sK22(sK18))) = X0 )
| ~ spl69_15 ),
inference(resolution,[],[f1639,f560]) ).
fof(f1639,plain,
( ssList(sK22(sK18))
| ~ spl69_15 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1373,plain,
( sK18 = cons(sK23(sK18),sK22(sK18))
| spl69_2 ),
inference(subsumption_resolution,[],[f1340,f650]) ).
fof(f1340,plain,
( nil = sK18
| sK18 = cons(sK23(sK18),sK22(sK18)) ),
inference(resolution,[],[f460,f374]) ).
fof(f1835,plain,
( sK22(sK18) = tl(cons(hd(sK18),sK22(sK18)))
| ~ spl69_11
| ~ spl69_15 ),
inference(resolution,[],[f1656,f1506]) ).
fof(f1656,plain,
( ! [X0] :
( ~ ssItem(X0)
| sK22(sK18) = tl(cons(X0,sK22(sK18))) )
| ~ spl69_15 ),
inference(resolution,[],[f1639,f559]) ).
fof(f4107,plain,
( nil = tl(sK18)
| hd(sK22(sK18)) = sK24(sK22(sK18))
| spl69_2
| ~ spl69_7
| ~ spl69_11
| ~ spl69_15 ),
inference(forward_demodulation,[],[f1654,f1858]) ).
fof(f1654,plain,
( nil = sK22(sK18)
| hd(sK22(sK18)) = sK24(sK22(sK18))
| ~ spl69_15 ),
inference(resolution,[],[f1639,f465]) ).
fof(f4565,plain,
( ~ spl69_13
| spl69_49 ),
inference(avatar_contradiction_clause,[],[f4564]) ).
fof(f4564,plain,
( $false
| ~ spl69_13
| spl69_49 ),
inference(subsumption_resolution,[],[f4563,f394]) ).
fof(f4563,plain,
( ~ ssList(nil)
| ~ spl69_13
| spl69_49 ),
inference(subsumption_resolution,[],[f4562,f1525]) ).
fof(f4562,plain,
( ~ ssItem(hd(sK19))
| ~ ssList(nil)
| spl69_49 ),
inference(resolution,[],[f4556,f556]) ).
fof(f556,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/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f4556,plain,
( ~ ssList(cons(hd(sK19),nil))
| spl69_49 ),
inference(avatar_component_clause,[],[f4554]) ).
fof(f4561,plain,
( ~ spl69_49
| spl69_50
| ~ spl69_13 ),
inference(avatar_split_clause,[],[f4254,f1524,f4558,f4554]) ).
fof(f4558,plain,
( spl69_50
<=> ssList(cons(hd(sK19),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).
fof(f4254,plain,
( ssList(cons(hd(sK19),sK18))
| ~ ssList(cons(hd(sK19),nil))
| ~ spl69_13 ),
inference(subsumption_resolution,[],[f4245,f374]) ).
fof(f4245,plain,
( ssList(cons(hd(sK19),sK18))
| ~ ssList(sK18)
| ~ ssList(cons(hd(sK19),nil))
| ~ spl69_13 ),
inference(superposition,[],[f566,f2167]) ).
fof(f2167,plain,
( cons(hd(sK19),sK18) = app(cons(hd(sK19),nil),sK18)
| ~ spl69_13 ),
inference(resolution,[],[f1900,f1525]) ).
fof(f4201,plain,
( ~ spl69_11
| spl69_47 ),
inference(avatar_contradiction_clause,[],[f4200]) ).
fof(f4200,plain,
( $false
| ~ spl69_11
| spl69_47 ),
inference(subsumption_resolution,[],[f4199,f394]) ).
fof(f4199,plain,
( ~ ssList(nil)
| ~ spl69_11
| spl69_47 ),
inference(subsumption_resolution,[],[f4198,f1506]) ).
fof(f4198,plain,
( ~ ssItem(hd(sK18))
| ~ ssList(nil)
| spl69_47 ),
inference(resolution,[],[f4192,f556]) ).
fof(f4192,plain,
( ~ ssList(cons(hd(sK18),nil))
| spl69_47 ),
inference(avatar_component_clause,[],[f4190]) ).
fof(f4197,plain,
( ~ spl69_47
| spl69_48
| ~ spl69_11 ),
inference(avatar_split_clause,[],[f4180,f1505,f4194,f4190]) ).
fof(f4194,plain,
( spl69_48
<=> ssList(cons(hd(sK18),sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).
fof(f4180,plain,
( ssList(cons(hd(sK18),sK18))
| ~ ssList(cons(hd(sK18),nil))
| ~ spl69_11 ),
inference(subsumption_resolution,[],[f4171,f374]) ).
fof(f4171,plain,
( ssList(cons(hd(sK18),sK18))
| ~ ssList(sK18)
| ~ ssList(cons(hd(sK18),nil))
| ~ spl69_11 ),
inference(superposition,[],[f566,f2166]) ).
fof(f2166,plain,
( cons(hd(sK18),sK18) = app(cons(hd(sK18),nil),sK18)
| ~ spl69_11 ),
inference(resolution,[],[f1900,f1506]) ).
fof(f3972,plain,
( ~ spl69_45
| spl69_46
| ~ spl69_21
| ~ spl69_22 ),
inference(avatar_split_clause,[],[f3906,f2203,f2199,f3969,f3965]) ).
fof(f3965,plain,
( spl69_45
<=> rearsegP(sK18,cons(sK67,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).
fof(f3969,plain,
( spl69_46
<=> rearsegP(cons(sK67,sK18),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).
fof(f2203,plain,
( spl69_22
<=> ssList(cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).
fof(f3906,plain,
( rearsegP(cons(sK67,sK18),sK19)
| ~ rearsegP(sK18,cons(sK67,sK19))
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f3905,f2725]) ).
fof(f3905,plain,
( rearsegP(cons(sK67,sK18),sK19)
| ~ rearsegP(sK18,cons(sK67,sK19))
| ~ ssList(cons(sK67,sK19))
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f3885,f2205]) ).
fof(f2205,plain,
( ssList(cons(sK67,sK18))
| ~ spl69_22 ),
inference(avatar_component_clause,[],[f2203]) ).
fof(f3885,plain,
( rearsegP(cons(sK67,sK18),sK19)
| ~ ssList(cons(sK67,sK18))
| ~ rearsegP(sK18,cons(sK67,sK19))
| ~ ssList(cons(sK67,sK19))
| ~ spl69_21 ),
inference(resolution,[],[f3806,f3164]) ).
fof(f3164,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3163,f374]) ).
fof(f3163,plain,
( ! [X0] :
( rearsegP(cons(sK67,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(X0)
| ~ ssList(sK18) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3120,f2200]) ).
fof(f3120,plain,
! [X0] :
( rearsegP(cons(sK67,sK18),X0)
| ~ rearsegP(sK18,X0)
| ~ ssList(cons(sK67,nil))
| ~ ssList(X0)
| ~ ssList(sK18) ),
inference(superposition,[],[f592,f2187]) ).
fof(f3806,plain,
( ! [X0] :
( ~ rearsegP(X0,cons(sK67,sK19))
| rearsegP(X0,sK19)
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3805,f2725]) ).
fof(f3805,plain,
( ! [X0] :
( rearsegP(X0,sK19)
| ~ rearsegP(X0,cons(sK67,sK19))
| ~ ssList(cons(sK67,sK19))
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3758,f375]) ).
fof(f3758,plain,
( ! [X0] :
( rearsegP(X0,sK19)
| ~ rearsegP(X0,cons(sK67,sK19))
| ~ ssList(sK19)
| ~ ssList(cons(sK67,sK19))
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(resolution,[],[f596,f2733]) ).
fof(f2733,plain,
( rearsegP(cons(sK67,sK19),sK19)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2732,f375]) ).
fof(f2732,plain,
( rearsegP(cons(sK67,sK19),sK19)
| ~ ssList(sK19)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2718,f2200]) ).
fof(f2718,plain,
( rearsegP(cons(sK67,sK19),sK19)
| ~ ssList(cons(sK67,nil))
| ~ ssList(sK19) ),
inference(superposition,[],[f2226,f2709]) ).
fof(f2226,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f625,f566]) ).
fof(f625,plain,
! [X2,X1] :
( rearsegP(app(X2,X1),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X2,X1)) ),
inference(equality_resolution,[],[f577]) ).
fof(f577,plain,
! [X2,X0,X1] :
( rearsegP(X0,X1)
| app(X2,X1) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f359,plain,
! [X0] :
( ! [X1] :
( ( ( rearsegP(X0,X1)
| ! [X2] :
( app(X2,X1) != X0
| ~ ssList(X2) ) )
& ( ( app(sK63(X0,X1),X1) = X0
& ssList(sK63(X0,X1)) )
| ~ rearsegP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK63])],[f357,f358]) ).
fof(f358,plain,
! [X0,X1] :
( ? [X3] :
( app(X3,X1) = X0
& ssList(X3) )
=> ( app(sK63(X0,X1),X1) = X0
& ssList(sK63(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f357,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,[],[f356]) ).
fof(f356,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,[],[f199]) ).
fof(f199,plain,
! [X0] :
( ! [X1] :
( ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f6]) ).
fof(f6,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( rearsegP(X0,X1)
<=> ? [X2] :
( app(X2,X1) = X0
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ rearsegP(X1,X2)
| rearsegP(X0,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f216]) ).
fof(f216,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f215]) ).
fof(f215,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( rearsegP(X0,X2)
| ~ rearsegP(X1,X2)
| ~ rearsegP(X0,X1)
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f47]) ).
fof(f47,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( ( rearsegP(X1,X2)
& rearsegP(X0,X1) )
=> rearsegP(X0,X2) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax47) ).
fof(f3949,plain,
( ~ spl69_43
| spl69_44
| ~ spl69_21
| ~ spl69_22 ),
inference(avatar_split_clause,[],[f3848,f2203,f2199,f3946,f3942]) ).
fof(f3942,plain,
( spl69_43
<=> rearsegP(sK19,cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).
fof(f3848,plain,
( rearsegP(cons(sK67,sK19),sK18)
| ~ rearsegP(sK19,cons(sK67,sK18))
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f3847,f2205]) ).
fof(f3847,plain,
( rearsegP(cons(sK67,sK19),sK18)
| ~ rearsegP(sK19,cons(sK67,sK18))
| ~ ssList(cons(sK67,sK18))
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f3831,f2725]) ).
fof(f3831,plain,
( rearsegP(cons(sK67,sK19),sK18)
| ~ ssList(cons(sK67,sK19))
| ~ rearsegP(sK19,cons(sK67,sK18))
| ~ ssList(cons(sK67,sK18))
| ~ spl69_21
| ~ spl69_22 ),
inference(resolution,[],[f3802,f3168]) ).
fof(f3802,plain,
( ! [X0] :
( ~ rearsegP(X0,cons(sK67,sK18))
| rearsegP(X0,sK18)
| ~ ssList(X0) )
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f3801,f2205]) ).
fof(f3801,plain,
( ! [X0] :
( rearsegP(X0,sK18)
| ~ rearsegP(X0,cons(sK67,sK18))
| ~ ssList(cons(sK67,sK18))
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f3756,f374]) ).
fof(f3756,plain,
( ! [X0] :
( rearsegP(X0,sK18)
| ~ rearsegP(X0,cons(sK67,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK67,sK18))
| ~ ssList(X0) )
| ~ spl69_21 ),
inference(resolution,[],[f596,f2325]) ).
fof(f2325,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2324,f374]) ).
fof(f2324,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ ssList(sK18)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2316,f2200]) ).
fof(f2316,plain,
( rearsegP(cons(sK67,sK18),sK18)
| ~ ssList(cons(sK67,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2226,f2187]) ).
fof(f3720,plain,
( ~ spl69_41
| spl69_42
| ~ spl69_33
| ~ spl69_34 ),
inference(avatar_split_clause,[],[f3424,f3398,f3394,f3717,f3713]) ).
fof(f3713,plain,
( spl69_41
<=> rearsegP(sK66(sK19,sK19),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).
fof(f3717,plain,
( spl69_42
<=> sK19 = sK66(sK19,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).
fof(f3394,plain,
( spl69_33
<=> ssList(sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).
fof(f3398,plain,
( spl69_34
<=> rearsegP(sK19,sK66(sK19,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).
fof(f3424,plain,
( sK19 = sK66(sK19,sK19)
| ~ rearsegP(sK66(sK19,sK19),sK19)
| ~ spl69_33
| ~ spl69_34 ),
inference(subsumption_resolution,[],[f3423,f3395]) ).
fof(f3395,plain,
( ssList(sK66(sK19,sK19))
| ~ spl69_33 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f3423,plain,
( sK19 = sK66(sK19,sK19)
| ~ rearsegP(sK66(sK19,sK19),sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_34 ),
inference(subsumption_resolution,[],[f3420,f375]) ).
fof(f3420,plain,
( sK19 = sK66(sK19,sK19)
| ~ rearsegP(sK66(sK19,sK19),sK19)
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| ~ spl69_34 ),
inference(resolution,[],[f3400,f570]) ).
fof(f570,plain,
! [X0,X1] :
( ~ rearsegP(X1,X0)
| X0 = X1
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f193]) ).
fof(f193,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f192]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ rearsegP(X1,X0)
| ~ rearsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f48,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( rearsegP(X1,X0)
& rearsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax48) ).
fof(f3400,plain,
( rearsegP(sK19,sK66(sK19,sK19))
| ~ spl69_34 ),
inference(avatar_component_clause,[],[f3398]) ).
fof(f3548,plain,
( ~ spl69_39
| spl69_40
| ~ spl69_23 ),
inference(avatar_split_clause,[],[f2857,f2256,f3545,f3541]) ).
fof(f3541,plain,
( spl69_39
<=> rearsegP(sK19,cons(sK68,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).
fof(f2857,plain,
( sK19 = cons(sK68,sK19)
| ~ rearsegP(sK19,cons(sK68,sK19))
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2856,f375]) ).
fof(f2856,plain,
( sK19 = cons(sK68,sK19)
| ~ rearsegP(sK19,cons(sK68,sK19))
| ~ ssList(sK19)
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2855,f2824]) ).
fof(f2824,plain,
( ssList(cons(sK68,sK19))
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2823,f2257]) ).
fof(f2823,plain,
( ssList(cons(sK68,sK19))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f2814,f375]) ).
fof(f2814,plain,
( ssList(cons(sK68,sK19))
| ~ ssList(sK19)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f566,f2710]) ).
fof(f2855,plain,
( sK19 = cons(sK68,sK19)
| ~ rearsegP(sK19,cons(sK68,sK19))
| ~ ssList(cons(sK68,sK19))
| ~ ssList(sK19)
| ~ spl69_23 ),
inference(resolution,[],[f2832,f570]) ).
fof(f2832,plain,
( rearsegP(cons(sK68,sK19),sK19)
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2831,f375]) ).
fof(f2831,plain,
( rearsegP(cons(sK68,sK19),sK19)
| ~ ssList(sK19)
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2817,f2257]) ).
fof(f2817,plain,
( rearsegP(cons(sK68,sK19),sK19)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK19) ),
inference(superposition,[],[f2226,f2710]) ).
fof(f3492,plain,
( ~ spl69_37
| spl69_38
| ~ spl69_21 ),
inference(avatar_split_clause,[],[f2757,f2199,f3489,f3485]) ).
fof(f3485,plain,
( spl69_37
<=> rearsegP(sK19,cons(sK67,sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).
fof(f2757,plain,
( sK19 = cons(sK67,sK19)
| ~ rearsegP(sK19,cons(sK67,sK19))
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2756,f375]) ).
fof(f2756,plain,
( sK19 = cons(sK67,sK19)
| ~ rearsegP(sK19,cons(sK67,sK19))
| ~ ssList(sK19)
| ~ spl69_21 ),
inference(subsumption_resolution,[],[f2755,f2725]) ).
fof(f2755,plain,
( sK19 = cons(sK67,sK19)
| ~ rearsegP(sK19,cons(sK67,sK19))
| ~ ssList(cons(sK67,sK19))
| ~ ssList(sK19)
| ~ spl69_21 ),
inference(resolution,[],[f2733,f570]) ).
fof(f3459,plain,
( ~ spl69_35
| spl69_36
| ~ spl69_29
| ~ spl69_30 ),
inference(avatar_split_clause,[],[f3031,f3005,f3001,f3456,f3452]) ).
fof(f3452,plain,
( spl69_35
<=> rearsegP(sK66(sK19,sK18),sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).
fof(f3456,plain,
( spl69_36
<=> sK19 = sK66(sK19,sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).
fof(f3005,plain,
( spl69_30
<=> rearsegP(sK19,sK66(sK19,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).
fof(f3031,plain,
( sK19 = sK66(sK19,sK18)
| ~ rearsegP(sK66(sK19,sK18),sK19)
| ~ spl69_29
| ~ spl69_30 ),
inference(subsumption_resolution,[],[f3030,f3002]) ).
fof(f3030,plain,
( sK19 = sK66(sK19,sK18)
| ~ rearsegP(sK66(sK19,sK18),sK19)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_30 ),
inference(subsumption_resolution,[],[f3027,f375]) ).
fof(f3027,plain,
( sK19 = sK66(sK19,sK18)
| ~ rearsegP(sK66(sK19,sK18),sK19)
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK18))
| ~ spl69_30 ),
inference(resolution,[],[f3007,f570]) ).
fof(f3007,plain,
( rearsegP(sK19,sK66(sK19,sK18))
| ~ spl69_30 ),
inference(avatar_component_clause,[],[f3005]) ).
fof(f3406,plain,
( spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32
| spl69_33 ),
inference(avatar_contradiction_clause,[],[f3405]) ).
fof(f3405,plain,
( $false
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32
| spl69_33 ),
inference(subsumption_resolution,[],[f3404,f375]) ).
fof(f3404,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32
| spl69_33 ),
inference(subsumption_resolution,[],[f3403,f3369]) ).
fof(f3369,plain,
( frontsegP(sK19,sK19)
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(superposition,[],[f3342,f3361]) ).
fof(f3361,plain,
( sK19 = sK63(sK19,nil)
| spl69_1
| ~ spl69_29
| ~ spl69_31 ),
inference(forward_demodulation,[],[f3349,f3210]) ).
fof(f3210,plain,
( sK19 = app(sK63(sK19,nil),nil)
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3209,f375]) ).
fof(f3209,plain,
( sK19 = app(sK63(sK19,nil),nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3207,f394]) ).
fof(f3207,plain,
( sK19 = app(sK63(sK19,nil),nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_29 ),
inference(resolution,[],[f3206,f576]) ).
fof(f576,plain,
! [X0,X1] :
( ~ rearsegP(X0,X1)
| app(sK63(X0,X1),X1) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f3349,plain,
( sK63(sK19,nil) = app(sK63(sK19,nil),nil)
| ~ spl69_31 ),
inference(resolution,[],[f3337,f456]) ).
fof(f3337,plain,
( ssList(sK63(sK19,nil))
| ~ spl69_31 ),
inference(avatar_component_clause,[],[f3336]) ).
fof(f3336,plain,
( spl69_31
<=> ssList(sK63(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).
fof(f3342,plain,
( frontsegP(sK19,sK63(sK19,nil))
| ~ spl69_32 ),
inference(avatar_component_clause,[],[f3340]) ).
fof(f3340,plain,
( spl69_32
<=> frontsegP(sK19,sK63(sK19,nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).
fof(f3403,plain,
( ~ frontsegP(sK19,sK19)
| ~ ssList(sK19)
| spl69_33 ),
inference(duplicate_literal_removal,[],[f3402]) ).
fof(f3402,plain,
( ~ frontsegP(sK19,sK19)
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl69_33 ),
inference(resolution,[],[f3396,f582]) ).
fof(f582,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f3396,plain,
( ~ ssList(sK66(sK19,sK19))
| spl69_33 ),
inference(avatar_component_clause,[],[f3394]) ).
fof(f3401,plain,
( ~ spl69_33
| spl69_34
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(avatar_split_clause,[],[f3391,f3340,f3336,f3001,f644,f3398,f3394]) ).
fof(f3391,plain,
( rearsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK66(sK19,sK19))
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(subsumption_resolution,[],[f3387,f375]) ).
fof(f3387,plain,
( rearsegP(sK19,sK66(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK66(sK19,sK19))
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(superposition,[],[f2226,f3379]) ).
fof(f3379,plain,
( sK19 = app(sK19,sK66(sK19,sK19))
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(subsumption_resolution,[],[f3378,f375]) ).
fof(f3378,plain,
( sK19 = app(sK19,sK66(sK19,sK19))
| ~ ssList(sK19)
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(duplicate_literal_removal,[],[f3375]) ).
fof(f3375,plain,
( sK19 = app(sK19,sK66(sK19,sK19))
| ~ ssList(sK19)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_29
| ~ spl69_31
| ~ spl69_32 ),
inference(resolution,[],[f3369,f583]) ).
fof(f3348,plain,
( spl69_1
| ~ spl69_29
| spl69_31 ),
inference(avatar_contradiction_clause,[],[f3347]) ).
fof(f3347,plain,
( $false
| spl69_1
| ~ spl69_29
| spl69_31 ),
inference(subsumption_resolution,[],[f3346,f375]) ).
fof(f3346,plain,
( ~ ssList(sK19)
| spl69_1
| ~ spl69_29
| spl69_31 ),
inference(subsumption_resolution,[],[f3345,f394]) ).
fof(f3345,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| spl69_1
| ~ spl69_29
| spl69_31 ),
inference(subsumption_resolution,[],[f3344,f3206]) ).
fof(f3344,plain,
( ~ rearsegP(sK19,nil)
| ~ ssList(nil)
| ~ ssList(sK19)
| spl69_31 ),
inference(resolution,[],[f3338,f575]) ).
fof(f575,plain,
! [X0,X1] :
( ssList(sK63(X0,X1))
| ~ rearsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f359]) ).
fof(f3338,plain,
( ~ ssList(sK63(sK19,nil))
| spl69_31 ),
inference(avatar_component_clause,[],[f3336]) ).
fof(f3343,plain,
( ~ spl69_31
| spl69_32
| spl69_1
| ~ spl69_29 ),
inference(avatar_split_clause,[],[f3220,f3001,f644,f3340,f3336]) ).
fof(f3220,plain,
( frontsegP(sK19,sK63(sK19,nil))
| ~ ssList(sK63(sK19,nil))
| spl69_1
| ~ spl69_29 ),
inference(subsumption_resolution,[],[f3218,f394]) ).
fof(f3218,plain,
( frontsegP(sK19,sK63(sK19,nil))
| ~ ssList(nil)
| ~ ssList(sK63(sK19,nil))
| spl69_1
| ~ spl69_29 ),
inference(superposition,[],[f2356,f3210]) ).
fof(f2356,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1) ),
inference(subsumption_resolution,[],[f627,f566]) ).
fof(f627,plain,
! [X2,X1] :
( frontsegP(app(X1,X2),X1)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(app(X1,X2)) ),
inference(equality_resolution,[],[f584]) ).
fof(f584,plain,
! [X2,X0,X1] :
( frontsegP(X0,X1)
| app(X1,X2) != X0
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f368]) ).
fof(f3013,plain,
( spl69_1
| spl69_29 ),
inference(avatar_contradiction_clause,[],[f3012]) ).
fof(f3012,plain,
( $false
| spl69_1
| spl69_29 ),
inference(subsumption_resolution,[],[f3011,f375]) ).
fof(f3011,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_29 ),
inference(subsumption_resolution,[],[f3010,f374]) ).
fof(f3010,plain,
( ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_1
| spl69_29 ),
inference(subsumption_resolution,[],[f3009,f659]) ).
fof(f3009,plain,
( ~ frontsegP(sK19,sK18)
| ~ ssList(sK18)
| ~ ssList(sK19)
| spl69_29 ),
inference(resolution,[],[f3003,f582]) ).
fof(f3003,plain,
( ~ ssList(sK66(sK19,sK18))
| spl69_29 ),
inference(avatar_component_clause,[],[f3001]) ).
fof(f3008,plain,
( ~ spl69_29
| spl69_30
| spl69_1 ),
inference(avatar_split_clause,[],[f2999,f644,f3005,f3001]) ).
fof(f2999,plain,
( rearsegP(sK19,sK66(sK19,sK18))
| ~ ssList(sK66(sK19,sK18))
| spl69_1 ),
inference(subsumption_resolution,[],[f2995,f374]) ).
fof(f2995,plain,
( rearsegP(sK19,sK66(sK19,sK18))
| ~ ssList(sK18)
| ~ ssList(sK66(sK19,sK18))
| spl69_1 ),
inference(superposition,[],[f2226,f2989]) ).
fof(f2568,plain,
( ~ spl69_27
| spl69_28
| ~ spl69_23
| ~ spl69_24 ),
inference(avatar_split_clause,[],[f2333,f2260,f2256,f2565,f2561]) ).
fof(f2561,plain,
( spl69_27
<=> rearsegP(sK18,cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).
fof(f2260,plain,
( spl69_24
<=> ssList(cons(sK68,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).
fof(f2333,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ spl69_23
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f2332,f374]) ).
fof(f2332,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl69_23
| ~ spl69_24 ),
inference(subsumption_resolution,[],[f2331,f2262]) ).
fof(f2262,plain,
( ssList(cons(sK68,sK18))
| ~ spl69_24 ),
inference(avatar_component_clause,[],[f2260]) ).
fof(f2331,plain,
( sK18 = cons(sK68,sK18)
| ~ rearsegP(sK18,cons(sK68,sK18))
| ~ ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ spl69_23 ),
inference(resolution,[],[f2327,f570]) ).
fof(f2327,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2326,f374]) ).
fof(f2326,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(sK18)
| ~ spl69_23 ),
inference(subsumption_resolution,[],[f2317,f2257]) ).
fof(f2317,plain,
( rearsegP(cons(sK68,sK18),sK18)
| ~ ssList(cons(sK68,nil))
| ~ ssList(sK18) ),
inference(superposition,[],[f2226,f2188]) ).
fof(f2559,plain,
( ~ spl69_25
| spl69_26
| ~ spl69_21
| ~ spl69_22 ),
inference(avatar_split_clause,[],[f2330,f2203,f2199,f2556,f2552]) ).
fof(f2552,plain,
( spl69_25
<=> rearsegP(sK18,cons(sK67,sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).
fof(f2330,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f2329,f374]) ).
fof(f2329,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ ssList(sK18)
| ~ spl69_21
| ~ spl69_22 ),
inference(subsumption_resolution,[],[f2328,f2205]) ).
fof(f2328,plain,
( sK18 = cons(sK67,sK18)
| ~ rearsegP(sK18,cons(sK67,sK18))
| ~ ssList(cons(sK67,sK18))
| ~ ssList(sK18)
| ~ spl69_21 ),
inference(resolution,[],[f2325,f570]) ).
fof(f2267,plain,
spl69_23,
inference(avatar_contradiction_clause,[],[f2266]) ).
fof(f2266,plain,
( $false
| spl69_23 ),
inference(subsumption_resolution,[],[f2265,f394]) ).
fof(f2265,plain,
( ~ ssList(nil)
| spl69_23 ),
inference(subsumption_resolution,[],[f2264,f601]) ).
fof(f2264,plain,
( ~ ssItem(sK68)
| ~ ssList(nil)
| spl69_23 ),
inference(resolution,[],[f2258,f556]) ).
fof(f2258,plain,
( ~ ssList(cons(sK68,nil))
| spl69_23 ),
inference(avatar_component_clause,[],[f2256]) ).
fof(f2263,plain,
( ~ spl69_23
| spl69_24 ),
inference(avatar_split_clause,[],[f2254,f2260,f2256]) ).
fof(f2254,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(cons(sK68,nil)) ),
inference(subsumption_resolution,[],[f2250,f374]) ).
fof(f2250,plain,
( ssList(cons(sK68,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK68,nil)) ),
inference(superposition,[],[f566,f2188]) ).
fof(f2210,plain,
spl69_21,
inference(avatar_contradiction_clause,[],[f2209]) ).
fof(f2209,plain,
( $false
| spl69_21 ),
inference(subsumption_resolution,[],[f2208,f394]) ).
fof(f2208,plain,
( ~ ssList(nil)
| spl69_21 ),
inference(subsumption_resolution,[],[f2207,f600]) ).
fof(f2207,plain,
( ~ ssItem(sK67)
| ~ ssList(nil)
| spl69_21 ),
inference(resolution,[],[f2201,f556]) ).
fof(f2201,plain,
( ~ ssList(cons(sK67,nil))
| spl69_21 ),
inference(avatar_component_clause,[],[f2199]) ).
fof(f2206,plain,
( ~ spl69_21
| spl69_22 ),
inference(avatar_split_clause,[],[f2197,f2203,f2199]) ).
fof(f2197,plain,
( ssList(cons(sK67,sK18))
| ~ ssList(cons(sK67,nil)) ),
inference(subsumption_resolution,[],[f2193,f374]) ).
fof(f2193,plain,
( ssList(cons(sK67,sK18))
| ~ ssList(sK18)
| ~ ssList(cons(sK67,nil)) ),
inference(superposition,[],[f566,f2187]) ).
fof(f2086,plain,
( ~ spl69_19
| spl69_20
| spl69_1 ),
inference(avatar_split_clause,[],[f2077,f644,f2083,f2079]) ).
fof(f2079,plain,
( spl69_19
<=> frontsegP(sK18,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).
fof(f2083,plain,
( spl69_20
<=> sK18 = sK19 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).
fof(f2077,plain,
( sK18 = sK19
| ~ frontsegP(sK18,sK19)
| spl69_1 ),
inference(subsumption_resolution,[],[f2076,f374]) ).
fof(f2076,plain,
( sK18 = sK19
| ~ frontsegP(sK18,sK19)
| ~ ssList(sK18)
| spl69_1 ),
inference(subsumption_resolution,[],[f2072,f375]) ).
fof(f2072,plain,
( sK18 = sK19
| ~ frontsegP(sK18,sK19)
| ~ ssList(sK19)
| ~ ssList(sK18)
| spl69_1 ),
inference(resolution,[],[f572,f659]) ).
fof(f572,plain,
! [X0,X1] :
( ~ frontsegP(X1,X0)
| X0 = X1
| ~ frontsegP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f197]) ).
fof(f197,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f196]) ).
fof(f196,plain,
! [X0] :
( ! [X1] :
( X0 = X1
| ~ frontsegP(X1,X0)
| ~ frontsegP(X0,X1)
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f41]) ).
fof(f41,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( ( frontsegP(X1,X0)
& frontsegP(X0,X1) )
=> X0 = X1 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax41) ).
fof(f1746,plain,
( spl69_1
| spl69_17 ),
inference(avatar_contradiction_clause,[],[f1745]) ).
fof(f1745,plain,
( $false
| spl69_1
| spl69_17 ),
inference(subsumption_resolution,[],[f1744,f375]) ).
fof(f1744,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_17 ),
inference(subsumption_resolution,[],[f1743,f646]) ).
fof(f1743,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_17 ),
inference(resolution,[],[f1737,f458]) ).
fof(f1737,plain,
( ~ ssList(sK22(sK19))
| spl69_17 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1742,plain,
( ~ spl69_17
| spl69_18
| spl69_1
| ~ spl69_9 ),
inference(avatar_split_clause,[],[f1733,f1421,f644,f1739,f1735]) ).
fof(f1739,plain,
( spl69_18
<=> memberP(sK19,sK23(sK19)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).
fof(f1733,plain,
( memberP(sK19,sK23(sK19))
| ~ ssList(sK22(sK19))
| spl69_1
| ~ spl69_9 ),
inference(subsumption_resolution,[],[f1398,f1422]) ).
fof(f1398,plain,
( memberP(sK19,sK23(sK19))
| ~ ssList(sK22(sK19))
| ~ ssItem(sK23(sK19))
| spl69_1 ),
inference(superposition,[],[f634,f1374]) ).
fof(f1649,plain,
( spl69_2
| spl69_15 ),
inference(avatar_contradiction_clause,[],[f1648]) ).
fof(f1648,plain,
( $false
| spl69_2
| spl69_15 ),
inference(subsumption_resolution,[],[f1647,f374]) ).
fof(f1647,plain,
( ~ ssList(sK18)
| spl69_2
| spl69_15 ),
inference(subsumption_resolution,[],[f1646,f650]) ).
fof(f1646,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_15 ),
inference(resolution,[],[f1640,f458]) ).
fof(f1640,plain,
( ~ ssList(sK22(sK18))
| spl69_15 ),
inference(avatar_component_clause,[],[f1638]) ).
fof(f1645,plain,
( ~ spl69_15
| spl69_16
| spl69_2
| ~ spl69_7 ),
inference(avatar_split_clause,[],[f1636,f1402,f648,f1642,f1638]) ).
fof(f1642,plain,
( spl69_16
<=> memberP(sK18,sK23(sK18)) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).
fof(f1636,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| spl69_2
| ~ spl69_7 ),
inference(subsumption_resolution,[],[f1388,f1403]) ).
fof(f1388,plain,
( memberP(sK18,sK23(sK18))
| ~ ssList(sK22(sK18))
| ~ ssItem(sK23(sK18))
| spl69_2 ),
inference(superposition,[],[f634,f1373]) ).
fof(f1535,plain,
( spl69_1
| spl69_13 ),
inference(avatar_contradiction_clause,[],[f1534]) ).
fof(f1534,plain,
( $false
| spl69_1
| spl69_13 ),
inference(subsumption_resolution,[],[f1533,f375]) ).
fof(f1533,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_13 ),
inference(subsumption_resolution,[],[f1532,f646]) ).
fof(f1532,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_13 ),
inference(resolution,[],[f1526,f461]) ).
fof(f1526,plain,
( ~ ssItem(hd(sK19))
| spl69_13 ),
inference(avatar_component_clause,[],[f1524]) ).
fof(f1531,plain,
( ~ spl69_13
| ~ spl69_14
| spl69_1 ),
inference(avatar_split_clause,[],[f1503,f644,f1528,f1524]) ).
fof(f1528,plain,
( spl69_14
<=> sK19 = tl(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).
fof(f1503,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1502,f375]) ).
fof(f1502,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(sK19)
| spl69_1 ),
inference(inner_rewriting,[],[f1500]) ).
fof(f1500,plain,
( sK19 != tl(sK19)
| ~ ssItem(hd(sK19))
| ~ ssList(tl(sK19))
| spl69_1 ),
inference(superposition,[],[f558,f1477]) ).
fof(f1516,plain,
( spl69_2
| spl69_11 ),
inference(avatar_contradiction_clause,[],[f1515]) ).
fof(f1515,plain,
( $false
| spl69_2
| spl69_11 ),
inference(subsumption_resolution,[],[f1514,f374]) ).
fof(f1514,plain,
( ~ ssList(sK18)
| spl69_2
| spl69_11 ),
inference(subsumption_resolution,[],[f1513,f650]) ).
fof(f1513,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_11 ),
inference(resolution,[],[f1507,f461]) ).
fof(f1507,plain,
( ~ ssItem(hd(sK18))
| spl69_11 ),
inference(avatar_component_clause,[],[f1505]) ).
fof(f1512,plain,
( ~ spl69_11
| ~ spl69_12
| spl69_2 ),
inference(avatar_split_clause,[],[f1493,f648,f1509,f1505]) ).
fof(f1509,plain,
( spl69_12
<=> sK18 = tl(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).
fof(f1493,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| spl69_2 ),
inference(subsumption_resolution,[],[f1492,f374]) ).
fof(f1492,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(sK18)
| spl69_2 ),
inference(inner_rewriting,[],[f1490]) ).
fof(f1490,plain,
( sK18 != tl(sK18)
| ~ ssItem(hd(sK18))
| ~ ssList(tl(sK18))
| spl69_2 ),
inference(superposition,[],[f558,f1476]) ).
fof(f1432,plain,
( spl69_1
| spl69_9 ),
inference(avatar_contradiction_clause,[],[f1431]) ).
fof(f1431,plain,
( $false
| spl69_1
| spl69_9 ),
inference(subsumption_resolution,[],[f1430,f375]) ).
fof(f1430,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_9 ),
inference(subsumption_resolution,[],[f1429,f646]) ).
fof(f1429,plain,
( nil = sK19
| ~ ssList(sK19)
| spl69_9 ),
inference(resolution,[],[f1423,f459]) ).
fof(f1423,plain,
( ~ ssItem(sK23(sK19))
| spl69_9 ),
inference(avatar_component_clause,[],[f1421]) ).
fof(f1428,plain,
( ~ spl69_9
| ~ spl69_10
| spl69_1 ),
inference(avatar_split_clause,[],[f1400,f644,f1425,f1421]) ).
fof(f1425,plain,
( spl69_10
<=> sK19 = sK22(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).
fof(f1400,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| spl69_1 ),
inference(subsumption_resolution,[],[f1399,f375]) ).
fof(f1399,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| ~ ssList(sK19)
| spl69_1 ),
inference(inner_rewriting,[],[f1397]) ).
fof(f1397,plain,
( sK19 != sK22(sK19)
| ~ ssItem(sK23(sK19))
| ~ ssList(sK22(sK19))
| spl69_1 ),
inference(superposition,[],[f558,f1374]) ).
fof(f1413,plain,
( spl69_2
| spl69_7 ),
inference(avatar_contradiction_clause,[],[f1412]) ).
fof(f1412,plain,
( $false
| spl69_2
| spl69_7 ),
inference(subsumption_resolution,[],[f1411,f374]) ).
fof(f1411,plain,
( ~ ssList(sK18)
| spl69_2
| spl69_7 ),
inference(subsumption_resolution,[],[f1410,f650]) ).
fof(f1410,plain,
( nil = sK18
| ~ ssList(sK18)
| spl69_7 ),
inference(resolution,[],[f1404,f459]) ).
fof(f1404,plain,
( ~ ssItem(sK23(sK18))
| spl69_7 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1409,plain,
( ~ spl69_7
| ~ spl69_8
| spl69_2 ),
inference(avatar_split_clause,[],[f1390,f648,f1406,f1402]) ).
fof(f1406,plain,
( spl69_8
<=> sK18 = sK22(sK18) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).
fof(f1390,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| spl69_2 ),
inference(subsumption_resolution,[],[f1389,f374]) ).
fof(f1389,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| ~ ssList(sK18)
| spl69_2 ),
inference(inner_rewriting,[],[f1387]) ).
fof(f1387,plain,
( sK18 != sK22(sK18)
| ~ ssItem(sK23(sK18))
| ~ ssList(sK22(sK18))
| spl69_2 ),
inference(superposition,[],[f558,f1373]) ).
fof(f1100,plain,
( ~ spl69_1
| spl69_2 ),
inference(avatar_contradiction_clause,[],[f1099]) ).
fof(f1099,plain,
( $false
| ~ spl69_1
| spl69_2 ),
inference(subsumption_resolution,[],[f1098,f374]) ).
fof(f1098,plain,
( ~ ssList(sK18)
| ~ spl69_1
| spl69_2 ),
inference(subsumption_resolution,[],[f1097,f650]) ).
fof(f1097,plain,
( nil = sK18
| ~ ssList(sK18)
| ~ spl69_1
| spl69_2 ),
inference(resolution,[],[f1095,f554]) ).
fof(f554,plain,
! [X0] :
( ~ frontsegP(nil,X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f349]) ).
fof(f349,plain,
! [X0] :
( ( ( frontsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ frontsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f177]) ).
fof(f177,plain,
! [X0] :
( ( frontsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f46]) ).
fof(f46,axiom,
! [X0] :
( ssList(X0)
=> ( frontsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax46) ).
fof(f1095,plain,
( frontsegP(nil,sK18)
| ~ spl69_1
| spl69_2 ),
inference(forward_demodulation,[],[f1079,f645]) ).
fof(f645,plain,
( nil = sK19
| ~ spl69_1 ),
inference(avatar_component_clause,[],[f644]) ).
fof(f1079,plain,
( frontsegP(sK19,sK18)
| spl69_2 ),
inference(subsumption_resolution,[],[f1078,f650]) ).
fof(f1078,plain,
( nil = sK18
| frontsegP(sK19,sK18) ),
inference(forward_demodulation,[],[f661,f379]) ).
fof(f661,plain,
( frontsegP(sK19,sK18)
| nil = sK20 ),
inference(forward_demodulation,[],[f660,f378]) ).
fof(f660,plain,
( frontsegP(sK21,sK18)
| nil = sK20 ),
inference(forward_demodulation,[],[f385,f379]) ).
fof(f1069,plain,
( spl69_1
| spl69_3 ),
inference(avatar_contradiction_clause,[],[f1068]) ).
fof(f1068,plain,
( $false
| spl69_1
| spl69_3 ),
inference(subsumption_resolution,[],[f1067,f375]) ).
fof(f1067,plain,
( ~ ssList(sK19)
| spl69_1
| spl69_3 ),
inference(subsumption_resolution,[],[f1066,f394]) ).
fof(f1066,plain,
( ~ ssList(nil)
| ~ ssList(sK19)
| spl69_1
| spl69_3 ),
inference(subsumption_resolution,[],[f1063,f646]) ).
fof(f1063,plain,
( nil = sK19
| ~ ssList(nil)
| ~ ssList(sK19)
| spl69_3 ),
inference(resolution,[],[f574,f769]) ).
fof(f769,plain,
( ~ neq(sK19,nil)
| spl69_3 ),
inference(avatar_component_clause,[],[f767]) ).
fof(f767,plain,
( spl69_3
<=> neq(sK19,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f574,plain,
! [X0,X1] :
( neq(X0,X1)
| X0 = X1
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f355]) ).
fof(f795,plain,
( ~ spl69_5
| ~ spl69_6
| spl69_1
| spl69_3 ),
inference(avatar_split_clause,[],[f786,f767,f644,f792,f788]) ).
fof(f788,plain,
( spl69_5
<=> ssItem(sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f792,plain,
( spl69_6
<=> ssItem(nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).
fof(f786,plain,
( ~ ssItem(nil)
| ~ ssItem(sK19)
| spl69_1
| spl69_3 ),
inference(subsumption_resolution,[],[f783,f646]) ).
fof(f783,plain,
( nil = sK19
| ~ ssItem(nil)
| ~ ssItem(sK19)
| spl69_3 ),
inference(resolution,[],[f412,f769]) ).
fof(f774,plain,
( ~ spl69_3
| ~ spl69_4 ),
inference(avatar_split_clause,[],[f765,f771,f767]) ).
fof(f771,plain,
( spl69_4
<=> segmentP(sK18,sK19) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f765,plain,
( ~ segmentP(sK18,sK19)
| ~ neq(sK19,nil) ),
inference(subsumption_resolution,[],[f764,f375]) ).
fof(f764,plain,
( ~ segmentP(sK18,sK19)
| ~ neq(sK19,nil)
| ~ ssList(sK19) ),
inference(duplicate_literal_removal,[],[f763]) ).
fof(f763,plain,
( ~ segmentP(sK18,sK19)
| ~ neq(sK19,nil)
| ~ ssList(sK19)
| ~ ssList(sK19) ),
inference(resolution,[],[f380,f455]) ).
fof(f651,plain,
( ~ spl69_1
| ~ spl69_2 ),
inference(avatar_split_clause,[],[f381,f648,f644]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : SWC070+1 : TPTP v8.2.0. Released v2.4.0.
% 0.03/0.12 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.12/0.32 % Computer : n008.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 300
% 0.12/0.32 % DateTime : Sun May 19 03:23:08 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % (32635)Running in auto input_syntax mode. Trying TPTP
% 0.12/0.35 % (32644)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)
% 0.12/0.35 % (32643)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)
% 0.12/0.35 % (32642)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)
% 0.12/0.35 % (32637)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.12/0.35 % (32640)WARNING: value z3 for option sas not known
% 0.12/0.35 % (32640)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)
% 0.18/0.36 % (32641)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.18/0.36 % (32636)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [1]
% 0.18/0.38 TRYING [2]
% 0.18/0.38 TRYING [2]
% 0.18/0.39 TRYING [3]
% 0.18/0.39 TRYING [3]
% 0.18/0.42 TRYING [4]
% 0.18/0.44 TRYING [4]
% 0.18/0.54 TRYING [5]
% 1.55/0.56 TRYING [5]
% 2.35/0.66 % (32640)First to succeed.
% 2.35/0.67 % (32640)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-32635"
% 2.35/0.67 % (32640)Refutation found. Thanks to Tanya!
% 2.35/0.67 % SZS status Theorem for theBenchmark
% 2.35/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.35/0.67 % (32640)------------------------------
% 2.35/0.67 % (32640)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.35/0.67 % (32640)Termination reason: Refutation
% 2.35/0.67
% 2.35/0.67 % (32640)Memory used [KB]: 5901
% 2.35/0.67 % (32640)Time elapsed: 0.318 s
% 2.35/0.67 % (32640)Instructions burned: 712 (million)
% 2.35/0.67 % (32635)Success in time 0.335 s
%------------------------------------------------------------------------------