TSTP Solution File: SWC038+1 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : SWC038+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% Computer : n017.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 : Sun May 5 09:52:22 EDT 2024
% Result : Theorem 0.13s 0.38s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 112
% Syntax : Number of formulae : 361 ( 94 unt; 0 def)
% Number of atoms : 1089 ( 353 equ)
% Maximal formula atoms : 24 ( 3 avg)
% Number of connectives : 1096 ( 368 ~; 413 |; 183 &)
% ( 73 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 82 ( 80 usr; 62 prp; 0-2 aty)
% Number of functors : 16 ( 16 usr; 7 con; 0-2 aty)
% Number of variables : 348 ( 295 !; 53 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1031,plain,
$false,
inference(avatar_sat_refutation,[],[f707,f712,f717,f722,f727,f732,f737,f742,f747,f752,f757,f761,f765,f769,f773,f777,f781,f786,f791,f795,f799,f803,f807,f811,f815,f819,f823,f827,f836,f840,f844,f848,f852,f856,f860,f864,f868,f872,f876,f881,f885,f900,f910,f915,f919,f923,f927,f931,f935,f939,f943,f957,f961,f965,f969,f973,f977,f1002,f1006,f1015,f1024,f1030]) ).
fof(f1030,plain,
( ~ spl69_1
| spl69_11
| ~ spl69_18
| ~ spl69_41 ),
inference(avatar_split_clause,[],[f903,f883,f783,f754,f704]) ).
fof(f704,plain,
( spl69_1
<=> ssList(sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_1])]) ).
fof(f754,plain,
( spl69_11
<=> sK20 = sK21 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_11])]) ).
fof(f783,plain,
( spl69_18
<=> frontsegP(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_18])]) ).
fof(f883,plain,
( spl69_41
<=> ! [X0] :
( sK21 = X0
| ~ frontsegP(sK21,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_41])]) ).
fof(f903,plain,
( sK20 = sK21
| ~ ssList(sK20)
| ~ spl69_18
| ~ spl69_41 ),
inference(resolution,[],[f884,f785]) ).
fof(f785,plain,
( frontsegP(sK21,sK20)
| ~ spl69_18 ),
inference(avatar_component_clause,[],[f783]) ).
fof(f884,plain,
( ! [X0] :
( ~ frontsegP(sK21,X0)
| sK21 = X0
| ~ ssList(X0) )
| ~ spl69_41 ),
inference(avatar_component_clause,[],[f883]) ).
fof(f1024,plain,
spl69_61,
inference(avatar_split_clause,[],[f664,f1022]) ).
fof(f1022,plain,
( spl69_61
<=> ! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| sK21 = X0
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_61])]) ).
fof(f664,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| sK21 = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f568,f603]) ).
fof(f603,plain,
nil = sK21,
inference(definition_unfolding,[],[f378,f379]) ).
fof(f379,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f254]) ).
fof(f254,plain,
( ( ( frontsegP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& nil != sK18
& sK18 = sK20
& sK19 = sK21
& nil = sK19
& 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
& X0 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& nil != sK18
& sK18 = X2
& X1 = X3
& nil = X1
& 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
& sK18 = X2
& X1 = X3
& nil = X1
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& nil != sK18
& sK18 = X2
& sK19 = X3
& nil = sK19
& 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
& sK18 = X2
& sK19 = X3
& nil = sK19
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( frontsegP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& nil != sK18
& sK18 = sK20
& sK19 = X3
& nil = sK19
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X3] :
( ( ( frontsegP(X3,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = X3 ) )
& nil != sK18
& sK18 = sK20
& sK19 = X3
& nil = sK19
& ssList(X3) )
=> ( ( ( frontsegP(sK21,sK20)
& neq(sK20,nil) )
| ( nil = sK20
& nil = sK21 ) )
& nil != sK18
& sK18 = sK20
& sK19 = sK21
& nil = sK19
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( frontsegP(X3,X2)
& neq(X2,nil) )
| ( nil = X2
& nil = X3 ) )
& nil != X0
& X0 = X2
& X1 = X3
& nil = X1
& 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
& X0 = X2
& X1 = X3
& nil = X1
& 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
| X0 != X2
| X1 != X3
| nil != X1 ) ) ) ) ),
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
| X0 != X2
| X1 != X3
| nil != X1 ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f378,plain,
nil = sK19,
inference(cnf_transformation,[],[f254]) ).
fof(f568,plain,
! [X0,X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f189]) ).
fof(f189,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f188]) ).
fof(f188,plain,
! [X0] :
( ! [X1] :
( tl(app(X0,X1)) = app(tl(X0),X1)
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f86]) ).
fof(f86,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> tl(app(X0,X1)) = app(tl(X0),X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax86) ).
fof(f1015,plain,
spl69_60,
inference(avatar_split_clause,[],[f663,f1013]) ).
fof(f1013,plain,
( spl69_60
<=> ! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| sK21 = X0
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_60])]) ).
fof(f663,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| sK21 = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f567,f603]) ).
fof(f567,plain,
! [X0,X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f187]) ).
fof(f187,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( hd(X0) = hd(app(X0,X1))
| nil = X0
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f85]) ).
fof(f85,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil != X0
=> hd(X0) = hd(app(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax85) ).
fof(f1006,plain,
spl69_59,
inference(avatar_split_clause,[],[f662,f1004]) ).
fof(f1004,plain,
( spl69_59
<=> ! [X0,X1] :
( cons(X1,X0) = app(cons(X1,sK21),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_59])]) ).
fof(f662,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,sK21),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f561,f603]) ).
fof(f561,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f81]) ).
fof(f81,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> cons(X1,X0) = app(cons(X1,nil),X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax81) ).
fof(f1002,plain,
~ spl69_58,
inference(avatar_split_clause,[],[f602,f999]) ).
fof(f999,plain,
( spl69_58
<=> sK67 = sK68 ),
introduced(avatar_definition,[new_symbols(naming,[spl69_58])]) ).
fof(f602,plain,
sK67 != sK68,
inference(cnf_transformation,[],[f373]) ).
fof(f373,plain,
( sK67 != sK68
& ssItem(sK68)
& ssItem(sK67) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK67,sK68])],[f2,f372,f371]) ).
fof(f371,plain,
( ? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) )
=> ( ? [X1] :
( sK67 != X1
& ssItem(X1) )
& ssItem(sK67) ) ),
introduced(choice_axiom,[]) ).
fof(f372,plain,
( ? [X1] :
( sK67 != X1
& ssItem(X1) )
=> ( sK67 != sK68
& ssItem(sK68) ) ),
introduced(choice_axiom,[]) ).
fof(f2,axiom,
? [X0] :
( ? [X1] :
( X0 != X1
& ssItem(X1) )
& ssItem(X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f977,plain,
spl69_57,
inference(avatar_split_clause,[],[f668,f975]) ).
fof(f975,plain,
( spl69_57
<=> ! [X0,X1] :
( sK21 = X1
| app(X0,X1) != sK21
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_57])]) ).
fof(f668,plain,
! [X0,X1] :
( sK21 = X1
| app(X0,X1) != sK21
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f585,f603,f603]) ).
fof(f585,plain,
! [X0,X1] :
( nil = X1
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(flattening,[],[f369]) ).
fof(f369,plain,
! [X0] :
( ! [X1] :
( ( ( nil = app(X0,X1)
| nil != X0
| nil != X1 )
& ( ( nil = X0
& nil = X1 )
| nil != app(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f202]) ).
fof(f202,plain,
! [X0] :
( ! [X1] :
( ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f83]) ).
fof(f83,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ( nil = app(X0,X1)
<=> ( nil = X0
& nil = X1 ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax83) ).
fof(f973,plain,
spl69_56,
inference(avatar_split_clause,[],[f667,f971]) ).
fof(f971,plain,
( spl69_56
<=> ! [X0,X1] :
( sK21 = X0
| app(X0,X1) != sK21
| ~ ssList(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_56])]) ).
fof(f667,plain,
! [X0,X1] :
( sK21 = X0
| app(X0,X1) != sK21
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f586,f603,f603]) ).
fof(f586,plain,
! [X0,X1] :
( nil = X0
| nil != app(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f969,plain,
spl69_55,
inference(avatar_split_clause,[],[f648,f967]) ).
fof(f967,plain,
( spl69_55
<=> ! [X0] :
( cons(hd(X0),tl(X0)) = X0
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_55])]) ).
fof(f648,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f463,f603]) ).
fof(f463,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f155]) ).
fof(f155,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f154]) ).
fof(f154,plain,
! [X0] :
( cons(hd(X0),tl(X0)) = X0
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f78]) ).
fof(f78,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> cons(hd(X0),tl(X0)) = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax78) ).
fof(f965,plain,
spl69_54,
inference(avatar_split_clause,[],[f643,f963]) ).
fof(f963,plain,
( spl69_54
<=> ! [X0] :
( cons(sK23(X0),sK22(X0)) = X0
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_54])]) ).
fof(f643,plain,
! [X0] :
( cons(sK23(X0),sK22(X0)) = X0
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f460,f603]) ).
fof(f460,plain,
! [X0] :
( cons(sK23(X0),sK22(X0)) = 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/sandbox/benchmark/theBenchmark.p',ax20) ).
fof(f961,plain,
spl69_53,
inference(avatar_split_clause,[],[f633,f959]) ).
fof(f959,plain,
( spl69_53
<=> ! [X0,X1] :
( sP2(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| sK21 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_53])]) ).
fof(f633,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| sK21 = X0 ),
inference(definition_unfolding,[],[f445,f603]) ).
fof(f445,plain,
! [X0,X1] :
( sP2(X0,X1)
| ~ lt(X1,hd(X0))
| ~ strictorderedP(X0)
| nil = 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(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(f957,plain,
spl69_52,
inference(avatar_split_clause,[],[f628,f955]) ).
fof(f955,plain,
( spl69_52
<=> ! [X0,X1] :
( sP0(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| sK21 = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_52])]) ).
fof(f628,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| sK21 = X0 ),
inference(definition_unfolding,[],[f437,f603]) ).
fof(f437,plain,
! [X0,X1] :
( sP0(X0,X1)
| ~ leq(X1,hd(X0))
| ~ totalorderedP(X0)
| nil = 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(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(f943,plain,
spl69_51,
inference(avatar_split_clause,[],[f677,f941]) ).
fof(f941,plain,
( spl69_51
<=> ! [X1] :
( singletonP(cons(X1,sK21))
| ~ ssItem(X1)
| ~ ssList(cons(X1,sK21)) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_51])]) ).
fof(f677,plain,
! [X1] :
( singletonP(cons(X1,sK21))
| ~ ssItem(X1)
| ~ ssList(cons(X1,sK21)) ),
inference(equality_resolution,[],[f653]) ).
fof(f653,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,sK21) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f470,f603]) ).
fof(f470,plain,
! [X0,X1] :
( singletonP(X0)
| cons(X1,nil) != X0
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f284,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ( cons(sK26(X0),nil) = X0
& ssItem(sK26(X0)) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK26])],[f282,f283]) ).
fof(f283,plain,
! [X0] :
( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
=> ( cons(sK26(X0),nil) = X0
& ssItem(sK26(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f282,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X2] :
( cons(X2,nil) = X0
& ssItem(X2) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f281]) ).
fof(f281,plain,
! [X0] :
( ( ( singletonP(X0)
| ! [X1] :
( cons(X1,nil) != X0
| ~ ssItem(X1) ) )
& ( ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) )
| ~ singletonP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f160]) ).
fof(f160,plain,
! [X0] :
( ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f4]) ).
fof(f4,axiom,
! [X0] :
( ssList(X0)
=> ( singletonP(X0)
<=> ? [X1] :
( cons(X1,nil) = X0
& ssItem(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f939,plain,
spl69_50,
inference(avatar_split_clause,[],[f654,f937]) ).
fof(f937,plain,
( spl69_50
<=> ! [X0] :
( cons(sK26(X0),sK21) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_50])]) ).
fof(f654,plain,
! [X0] :
( cons(sK26(X0),sK21) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f469,f603]) ).
fof(f469,plain,
! [X0] :
( cons(sK26(X0),nil) = X0
| ~ singletonP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f284]) ).
fof(f935,plain,
spl69_49,
inference(avatar_split_clause,[],[f651,f933]) ).
fof(f933,plain,
( spl69_49
<=> ! [X0] :
( tl(X0) = sK25(X0)
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_49])]) ).
fof(f651,plain,
! [X0] :
( tl(X0) = sK25(X0)
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f467,f603]) ).
fof(f467,plain,
! [X0] :
( tl(X0) = sK25(X0)
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f280,plain,
! [X0] :
( ( tl(X0) = sK25(X0)
& ssList(sK25(X0)) )
| nil = X0
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f159,f279]) ).
fof(f279,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
=> ( tl(X0) = sK25(X0)
& ssList(sK25(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f159,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(flattening,[],[f158]) ).
fof(f158,plain,
! [X0] :
( ? [X1] :
( tl(X0) = X1
& ssList(X1) )
| nil = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f76]) ).
fof(f76,axiom,
! [X0] :
( ssList(X0)
=> ( nil != X0
=> ? [X1] :
( tl(X0) = X1
& ssList(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax76) ).
fof(f931,plain,
spl69_48,
inference(avatar_split_clause,[],[f649,f929]) ).
fof(f929,plain,
( spl69_48
<=> ! [X0] :
( hd(X0) = sK24(X0)
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_48])]) ).
fof(f649,plain,
! [X0] :
( hd(X0) = sK24(X0)
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f465,f603]) ).
fof(f465,plain,
! [X0] :
( hd(X0) = 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/sandbox/benchmark/theBenchmark.p',ax75) ).
fof(f927,plain,
spl69_47,
inference(avatar_split_clause,[],[f635,f925]) ).
fof(f925,plain,
( spl69_47
<=> ! [X0,X1] :
( lt(X1,hd(X0))
| sK21 = X0
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_47])]) ).
fof(f635,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| sK21 = X0
| ~ sP2(X0,X1) ),
inference(definition_unfolding,[],[f443,f603]) ).
fof(f443,plain,
! [X0,X1] :
( lt(X1,hd(X0))
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f923,plain,
spl69_46,
inference(avatar_split_clause,[],[f630,f921]) ).
fof(f921,plain,
( spl69_46
<=> ! [X0,X1] :
( leq(X1,hd(X0))
| sK21 = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_46])]) ).
fof(f630,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| sK21 = X0
| ~ sP0(X0,X1) ),
inference(definition_unfolding,[],[f435,f603]) ).
fof(f435,plain,
! [X0,X1] :
( leq(X1,hd(X0))
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f919,plain,
spl69_45,
inference(avatar_split_clause,[],[f661,f917]) ).
fof(f917,plain,
( spl69_45
<=> ! [X0,X1] :
( cons(X1,X0) != sK21
| ~ ssItem(X1)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_45])]) ).
fof(f661,plain,
! [X0,X1] :
( cons(X1,X0) != sK21
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f557,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax21) ).
fof(f915,plain,
spl69_44,
inference(avatar_split_clause,[],[f601,f912]) ).
fof(f912,plain,
( spl69_44
<=> ssItem(sK68) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_44])]) ).
fof(f601,plain,
ssItem(sK68),
inference(cnf_transformation,[],[f373]) ).
fof(f910,plain,
spl69_43,
inference(avatar_split_clause,[],[f600,f907]) ).
fof(f907,plain,
( spl69_43
<=> ssItem(sK67) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_43])]) ).
fof(f600,plain,
ssItem(sK67),
inference(cnf_transformation,[],[f373]) ).
fof(f900,plain,
( spl69_42
| ~ spl69_1
| ~ spl69_28 ),
inference(avatar_split_clause,[],[f830,f825,f704,f897]) ).
fof(f897,plain,
( spl69_42
<=> sK20 = app(sK21,sK20) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_42])]) ).
fof(f825,plain,
( spl69_28
<=> ! [X0] :
( app(sK21,X0) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_28])]) ).
fof(f830,plain,
( sK20 = app(sK21,sK20)
| ~ spl69_1
| ~ spl69_28 ),
inference(resolution,[],[f826,f706]) ).
fof(f706,plain,
( ssList(sK20)
| ~ spl69_1 ),
inference(avatar_component_clause,[],[f704]) ).
fof(f826,plain,
( ! [X0] :
( ~ ssList(X0)
| app(sK21,X0) = X0 )
| ~ spl69_28 ),
inference(avatar_component_clause,[],[f825]) ).
fof(f885,plain,
spl69_41,
inference(avatar_split_clause,[],[f660,f883]) ).
fof(f660,plain,
! [X0] :
( sK21 = X0
| ~ frontsegP(sK21,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f554,f603,f603]) ).
fof(f554,plain,
! [X0] :
( nil = X0
| ~ frontsegP(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/sandbox/benchmark/theBenchmark.p',ax46) ).
fof(f881,plain,
( spl69_40
| ~ spl69_2
| ~ spl69_27 ),
inference(avatar_split_clause,[],[f829,f821,f709,f878]) ).
fof(f878,plain,
( spl69_40
<=> sK21 = app(sK21,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_40])]) ).
fof(f709,plain,
( spl69_2
<=> ssList(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_2])]) ).
fof(f821,plain,
( spl69_27
<=> ! [X0] :
( app(X0,sK21) = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_27])]) ).
fof(f829,plain,
( sK21 = app(sK21,sK21)
| ~ spl69_2
| ~ spl69_27 ),
inference(resolution,[],[f822,f711]) ).
fof(f711,plain,
( ssList(sK21)
| ~ spl69_2 ),
inference(avatar_component_clause,[],[f709]) ).
fof(f822,plain,
( ! [X0] :
( ~ ssList(X0)
| app(X0,sK21) = X0 )
| ~ spl69_27 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f876,plain,
spl69_39,
inference(avatar_split_clause,[],[f658,f874]) ).
fof(f874,plain,
( spl69_39
<=> ! [X0] :
( sK21 = X0
| ~ rearsegP(sK21,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_39])]) ).
fof(f658,plain,
! [X0] :
( sK21 = X0
| ~ rearsegP(sK21,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f552,f603,f603]) ).
fof(f552,plain,
! [X0] :
( nil = X0
| ~ rearsegP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f348]) ).
fof(f348,plain,
! [X0] :
( ( ( rearsegP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ rearsegP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f176]) ).
fof(f176,plain,
! [X0] :
( ( rearsegP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f52]) ).
fof(f52,axiom,
! [X0] :
( ssList(X0)
=> ( rearsegP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax52) ).
fof(f872,plain,
spl69_38,
inference(avatar_split_clause,[],[f656,f870]) ).
fof(f870,plain,
( spl69_38
<=> ! [X0] :
( sK21 = X0
| ~ segmentP(sK21,X0)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_38])]) ).
fof(f656,plain,
! [X0] :
( sK21 = X0
| ~ segmentP(sK21,X0)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f550,f603,f603]) ).
fof(f550,plain,
! [X0] :
( nil = X0
| ~ segmentP(nil,X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f347]) ).
fof(f347,plain,
! [X0] :
( ( ( segmentP(nil,X0)
| nil != X0 )
& ( nil = X0
| ~ segmentP(nil,X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f175]) ).
fof(f175,plain,
! [X0] :
( ( segmentP(nil,X0)
<=> nil = X0 )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f58,axiom,
! [X0] :
( ssList(X0)
=> ( segmentP(nil,X0)
<=> nil = X0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax58) ).
fof(f868,plain,
spl69_37,
inference(avatar_split_clause,[],[f652,f866]) ).
fof(f866,plain,
( spl69_37
<=> ! [X0] :
( ssList(sK25(X0))
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_37])]) ).
fof(f652,plain,
! [X0] :
( ssList(sK25(X0))
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f466,f603]) ).
fof(f466,plain,
! [X0] :
( ssList(sK25(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f280]) ).
fof(f864,plain,
spl69_36,
inference(avatar_split_clause,[],[f650,f862]) ).
fof(f862,plain,
( spl69_36
<=> ! [X0] :
( ssItem(sK24(X0))
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_36])]) ).
fof(f650,plain,
! [X0] :
( ssItem(sK24(X0))
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f464,f603]) ).
fof(f464,plain,
! [X0] :
( ssItem(sK24(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f278]) ).
fof(f860,plain,
spl69_35,
inference(avatar_split_clause,[],[f647,f858]) ).
fof(f858,plain,
( spl69_35
<=> ! [X0] :
( ssList(tl(X0))
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_35])]) ).
fof(f647,plain,
! [X0] :
( ssList(tl(X0))
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f462,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax24) ).
fof(f856,plain,
spl69_34,
inference(avatar_split_clause,[],[f646,f854]) ).
fof(f854,plain,
( spl69_34
<=> ! [X0] :
( ssItem(hd(X0))
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_34])]) ).
fof(f646,plain,
! [X0] :
( ssItem(hd(X0))
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f461,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax22) ).
fof(f852,plain,
spl69_33,
inference(avatar_split_clause,[],[f645,f850]) ).
fof(f850,plain,
( spl69_33
<=> ! [X0] :
( ssList(sK22(X0))
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_33])]) ).
fof(f645,plain,
! [X0] :
( ssList(sK22(X0))
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f458,f603]) ).
fof(f458,plain,
! [X0] :
( ssList(sK22(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f848,plain,
spl69_32,
inference(avatar_split_clause,[],[f644,f846]) ).
fof(f846,plain,
( spl69_32
<=> ! [X0] :
( ssItem(sK23(X0))
| sK21 = X0
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_32])]) ).
fof(f644,plain,
! [X0] :
( ssItem(sK23(X0))
| sK21 = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f459,f603]) ).
fof(f459,plain,
! [X0] :
( ssItem(sK23(X0))
| nil = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f276]) ).
fof(f844,plain,
spl69_31,
inference(avatar_split_clause,[],[f636,f842]) ).
fof(f842,plain,
( spl69_31
<=> ! [X0,X1] :
( strictorderedP(X0)
| sK21 = X0
| ~ sP2(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_31])]) ).
fof(f636,plain,
! [X0,X1] :
( strictorderedP(X0)
| sK21 = X0
| ~ sP2(X0,X1) ),
inference(definition_unfolding,[],[f442,f603]) ).
fof(f442,plain,
! [X0,X1] :
( strictorderedP(X0)
| nil = X0
| ~ sP2(X0,X1) ),
inference(cnf_transformation,[],[f271]) ).
fof(f840,plain,
spl69_30,
inference(avatar_split_clause,[],[f631,f838]) ).
fof(f838,plain,
( spl69_30
<=> ! [X0,X1] :
( totalorderedP(X0)
| sK21 = X0
| ~ sP0(X0,X1) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_30])]) ).
fof(f631,plain,
! [X0,X1] :
( totalorderedP(X0)
| sK21 = X0
| ~ sP0(X0,X1) ),
inference(definition_unfolding,[],[f434,f603]) ).
fof(f434,plain,
! [X0,X1] :
( totalorderedP(X0)
| nil = X0
| ~ sP0(X0,X1) ),
inference(cnf_transformation,[],[f267]) ).
fof(f836,plain,
( spl69_29
| ~ spl69_1
| ~ spl69_27 ),
inference(avatar_split_clause,[],[f828,f821,f704,f833]) ).
fof(f833,plain,
( spl69_29
<=> sK20 = app(sK20,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_29])]) ).
fof(f828,plain,
( sK20 = app(sK20,sK21)
| ~ spl69_1
| ~ spl69_27 ),
inference(resolution,[],[f822,f706]) ).
fof(f827,plain,
spl69_28,
inference(avatar_split_clause,[],[f642,f825]) ).
fof(f642,plain,
! [X0] :
( app(sK21,X0) = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f457,f603]) ).
fof(f457,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f147]) ).
fof(f147,plain,
! [X0] :
( app(nil,X0) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f28]) ).
fof(f28,axiom,
! [X0] :
( ssList(X0)
=> app(nil,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax28) ).
fof(f823,plain,
spl69_27,
inference(avatar_split_clause,[],[f641,f821]) ).
fof(f641,plain,
! [X0] :
( app(X0,sK21) = X0
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f456,f603]) ).
fof(f456,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f146,plain,
! [X0] :
( app(X0,nil) = X0
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f84]) ).
fof(f84,axiom,
! [X0] :
( ssList(X0)
=> app(X0,nil) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax84) ).
fof(f819,plain,
spl69_26,
inference(avatar_split_clause,[],[f627,f817]) ).
fof(f817,plain,
( spl69_26
<=> ! [X0] :
( totalorderedP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_26])]) ).
fof(f627,plain,
! [X0] :
( totalorderedP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f405,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax65) ).
fof(f815,plain,
spl69_25,
inference(avatar_split_clause,[],[f626,f813]) ).
fof(f813,plain,
( spl69_25
<=> ! [X0] :
( strictorderedP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_25])]) ).
fof(f626,plain,
! [X0] :
( strictorderedP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f404,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax68) ).
fof(f811,plain,
spl69_24,
inference(avatar_split_clause,[],[f625,f809]) ).
fof(f809,plain,
( spl69_24
<=> ! [X0] :
( strictorderP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_24])]) ).
fof(f625,plain,
! [X0] :
( strictorderP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f403,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax63) ).
fof(f807,plain,
spl69_23,
inference(avatar_split_clause,[],[f624,f805]) ).
fof(f805,plain,
( spl69_23
<=> ! [X0] :
( totalorderP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_23])]) ).
fof(f624,plain,
! [X0] :
( totalorderP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f402,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax61) ).
fof(f803,plain,
spl69_22,
inference(avatar_split_clause,[],[f623,f801]) ).
fof(f801,plain,
( spl69_22
<=> ! [X0] :
( cyclefreeP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_22])]) ).
fof(f623,plain,
! [X0] :
( cyclefreeP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f401,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax59) ).
fof(f799,plain,
spl69_21,
inference(avatar_split_clause,[],[f622,f797]) ).
fof(f797,plain,
( spl69_21
<=> ! [X0] :
( duplicatefreeP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_21])]) ).
fof(f622,plain,
! [X0] :
( duplicatefreeP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f400,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax71) ).
fof(f795,plain,
spl69_20,
inference(avatar_split_clause,[],[f621,f793]) ).
fof(f793,plain,
( spl69_20
<=> ! [X0] :
( equalelemsP(cons(X0,sK21))
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_20])]) ).
fof(f621,plain,
! [X0] :
( equalelemsP(cons(X0,sK21))
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f399,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax73) ).
fof(f791,plain,
( spl69_11
| spl69_19 ),
inference(avatar_split_clause,[],[f606,f788,f754]) ).
fof(f788,plain,
( spl69_19
<=> neq(sK20,sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_19])]) ).
fof(f606,plain,
( neq(sK20,sK21)
| sK20 = sK21 ),
inference(definition_unfolding,[],[f383,f603,f603]) ).
fof(f383,plain,
( neq(sK20,nil)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f786,plain,
( spl69_11
| spl69_18 ),
inference(avatar_split_clause,[],[f604,f783,f754]) ).
fof(f604,plain,
( frontsegP(sK21,sK20)
| sK20 = sK21 ),
inference(definition_unfolding,[],[f385,f603]) ).
fof(f385,plain,
( frontsegP(sK21,sK20)
| nil = sK20 ),
inference(cnf_transformation,[],[f254]) ).
fof(f781,plain,
spl69_17,
inference(avatar_split_clause,[],[f640,f779]) ).
fof(f779,plain,
( spl69_17
<=> ! [X0] :
( frontsegP(X0,sK21)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_17])]) ).
fof(f640,plain,
! [X0] :
( frontsegP(X0,sK21)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f453,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax45) ).
fof(f777,plain,
spl69_16,
inference(avatar_split_clause,[],[f639,f775]) ).
fof(f775,plain,
( spl69_16
<=> ! [X0] :
( rearsegP(X0,sK21)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_16])]) ).
fof(f639,plain,
! [X0] :
( rearsegP(X0,sK21)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f451,f603]) ).
fof(f451,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f141,plain,
! [X0] :
( rearsegP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f51]) ).
fof(f51,axiom,
! [X0] :
( ssList(X0)
=> rearsegP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax51) ).
fof(f773,plain,
spl69_15,
inference(avatar_split_clause,[],[f638,f771]) ).
fof(f771,plain,
( spl69_15
<=> ! [X0] :
( segmentP(X0,sK21)
| ~ ssList(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_15])]) ).
fof(f638,plain,
! [X0] :
( segmentP(X0,sK21)
| ~ ssList(X0) ),
inference(definition_unfolding,[],[f450,f603]) ).
fof(f450,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( segmentP(X0,nil)
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f57,axiom,
! [X0] :
( ssList(X0)
=> segmentP(X0,nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax57) ).
fof(f769,plain,
spl69_14,
inference(avatar_split_clause,[],[f620,f767]) ).
fof(f767,plain,
( spl69_14
<=> ! [X0] :
( ~ memberP(sK21,X0)
| ~ ssItem(X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_14])]) ).
fof(f620,plain,
! [X0] :
( ~ memberP(sK21,X0)
| ~ ssItem(X0) ),
inference(definition_unfolding,[],[f395,f603]) ).
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/sandbox/benchmark/theBenchmark.p',ax38) ).
fof(f765,plain,
spl69_13,
inference(avatar_split_clause,[],[f675,f763]) ).
fof(f763,plain,
( spl69_13
<=> ! [X1] : sP2(sK21,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_13])]) ).
fof(f675,plain,
! [X1] : sP2(sK21,X1),
inference(equality_resolution,[],[f634]) ).
fof(f634,plain,
! [X0,X1] :
( sP2(X0,X1)
| sK21 != X0 ),
inference(definition_unfolding,[],[f444,f603]) ).
fof(f444,plain,
! [X0,X1] :
( sP2(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f271]) ).
fof(f761,plain,
spl69_12,
inference(avatar_split_clause,[],[f673,f759]) ).
fof(f759,plain,
( spl69_12
<=> ! [X1] : sP0(sK21,X1) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_12])]) ).
fof(f673,plain,
! [X1] : sP0(sK21,X1),
inference(equality_resolution,[],[f629]) ).
fof(f629,plain,
! [X0,X1] :
( sP0(X0,X1)
| sK21 != X0 ),
inference(definition_unfolding,[],[f436,f603]) ).
fof(f436,plain,
! [X0,X1] :
( sP0(X0,X1)
| nil != X0 ),
inference(cnf_transformation,[],[f267]) ).
fof(f757,plain,
~ spl69_11,
inference(avatar_split_clause,[],[f608,f754]) ).
fof(f608,plain,
sK20 != sK21,
inference(definition_unfolding,[],[f381,f603,f380]) ).
fof(f380,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f254]) ).
fof(f381,plain,
nil != sK18,
inference(cnf_transformation,[],[f254]) ).
fof(f752,plain,
spl69_10,
inference(avatar_split_clause,[],[f618,f749]) ).
fof(f749,plain,
( spl69_10
<=> totalorderedP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_10])]) ).
fof(f618,plain,
totalorderedP(sK21),
inference(definition_unfolding,[],[f393,f603]) ).
fof(f393,plain,
totalorderedP(nil),
inference(cnf_transformation,[],[f66]) ).
fof(f66,axiom,
totalorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax66) ).
fof(f747,plain,
spl69_9,
inference(avatar_split_clause,[],[f617,f744]) ).
fof(f744,plain,
( spl69_9
<=> strictorderedP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_9])]) ).
fof(f617,plain,
strictorderedP(sK21),
inference(definition_unfolding,[],[f392,f603]) ).
fof(f392,plain,
strictorderedP(nil),
inference(cnf_transformation,[],[f69]) ).
fof(f69,axiom,
strictorderedP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax69) ).
fof(f742,plain,
spl69_8,
inference(avatar_split_clause,[],[f616,f739]) ).
fof(f739,plain,
( spl69_8
<=> totalorderP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_8])]) ).
fof(f616,plain,
totalorderP(sK21),
inference(definition_unfolding,[],[f391,f603]) ).
fof(f391,plain,
totalorderP(nil),
inference(cnf_transformation,[],[f62]) ).
fof(f62,axiom,
totalorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax62) ).
fof(f737,plain,
spl69_7,
inference(avatar_split_clause,[],[f615,f734]) ).
fof(f734,plain,
( spl69_7
<=> strictorderP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_7])]) ).
fof(f615,plain,
strictorderP(sK21),
inference(definition_unfolding,[],[f390,f603]) ).
fof(f390,plain,
strictorderP(nil),
inference(cnf_transformation,[],[f64]) ).
fof(f64,axiom,
strictorderP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax64) ).
fof(f732,plain,
spl69_6,
inference(avatar_split_clause,[],[f614,f729]) ).
fof(f729,plain,
( spl69_6
<=> cyclefreeP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_6])]) ).
fof(f614,plain,
cyclefreeP(sK21),
inference(definition_unfolding,[],[f389,f603]) ).
fof(f389,plain,
cyclefreeP(nil),
inference(cnf_transformation,[],[f60]) ).
fof(f60,axiom,
cyclefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax60) ).
fof(f727,plain,
spl69_5,
inference(avatar_split_clause,[],[f613,f724]) ).
fof(f724,plain,
( spl69_5
<=> duplicatefreeP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_5])]) ).
fof(f613,plain,
duplicatefreeP(sK21),
inference(definition_unfolding,[],[f388,f603]) ).
fof(f388,plain,
duplicatefreeP(nil),
inference(cnf_transformation,[],[f72]) ).
fof(f72,axiom,
duplicatefreeP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax72) ).
fof(f722,plain,
spl69_4,
inference(avatar_split_clause,[],[f612,f719]) ).
fof(f719,plain,
( spl69_4
<=> equalelemsP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_4])]) ).
fof(f612,plain,
equalelemsP(sK21),
inference(definition_unfolding,[],[f387,f603]) ).
fof(f387,plain,
equalelemsP(nil),
inference(cnf_transformation,[],[f74]) ).
fof(f74,axiom,
equalelemsP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax74) ).
fof(f717,plain,
~ spl69_3,
inference(avatar_split_clause,[],[f611,f714]) ).
fof(f714,plain,
( spl69_3
<=> singletonP(sK21) ),
introduced(avatar_definition,[new_symbols(naming,[spl69_3])]) ).
fof(f611,plain,
~ singletonP(sK21),
inference(definition_unfolding,[],[f386,f603]) ).
fof(f386,plain,
~ singletonP(nil),
inference(cnf_transformation,[],[f39]) ).
fof(f39,axiom,
~ singletonP(nil),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax39) ).
fof(f712,plain,
spl69_2,
inference(avatar_split_clause,[],[f377,f709]) ).
fof(f377,plain,
ssList(sK21),
inference(cnf_transformation,[],[f254]) ).
fof(f707,plain,
spl69_1,
inference(avatar_split_clause,[],[f376,f704]) ).
fof(f376,plain,
ssList(sK20),
inference(cnf_transformation,[],[f254]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SWC038+1 : TPTP v8.1.2. Released v2.4.0.
% 0.10/0.14 % Command : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Fri May 3 20:27:23 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.13/0.35 % (3821)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.36 % (3826)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)
% 0.13/0.37 % (3824)WARNING: value z3 for option sas not known
% 0.13/0.37 % (3822)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.37 % (3823)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.37 % (3825)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.37 % (3824)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)
% 0.13/0.37 % (3827)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)
% 0.13/0.37 % (3828)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)
% 0.13/0.37 % (3826)First to succeed.
% 0.13/0.38 % (3826)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3821"
% 0.13/0.38 % (3826)Refutation found. Thanks to Tanya!
% 0.13/0.38 % SZS status Theorem for theBenchmark
% 0.13/0.38 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.38 % (3826)------------------------------
% 0.13/0.38 % (3826)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 0.13/0.38 % (3826)Termination reason: Refutation
% 0.13/0.38
% 0.13/0.38 % (3826)Memory used [KB]: 1463
% 0.13/0.38 % (3826)Time elapsed: 0.012 s
% 0.13/0.38 % (3826)Instructions burned: 33 (million)
% 0.13/0.38 % (3821)Success in time 0.025 s
%------------------------------------------------------------------------------