TSTP Solution File: SWC403+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC403+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% Computer : n005.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 : Thu Aug 31 20:59:42 EDT 2023
% Result : Theorem 13.42s 2.27s
% Output : Refutation 13.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 15
% Syntax : Number of formulae : 77 ( 14 unt; 0 def)
% Number of atoms : 437 ( 46 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 562 ( 202 ~; 175 |; 148 &)
% ( 8 <=>; 29 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 12 ( 10 usr; 5 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 129 (; 79 !; 50 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54972,plain,
$false,
inference(avatar_sat_refutation,[],[f3743,f3837,f3842,f4396,f54955]) ).
fof(f54955,plain,
( ~ spl70_130
| ~ spl70_134 ),
inference(avatar_contradiction_clause,[],[f54954]) ).
fof(f54954,plain,
( $false
| ~ spl70_130
| ~ spl70_134 ),
inference(subsumption_resolution,[],[f54953,f385]) ).
fof(f385,plain,
ssItem(sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f256,plain,
( ~ memberP(sK19,sK22)
& memberP(sK18,sK22)
& ssItem(sK22)
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,sK20)
| ~ segmentP(sK21,X5)
| ~ neq(sK20,X5)
| ~ ssList(X5) )
& strictorderedP(sK20)
& segmentP(sK21,sK20)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21)
& ssList(sK20)
& ssList(sK19)
& ssList(sK18) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK18,sK19,sK20,sK21,sK22])],[f100,f255,f254,f253,f252,f251]) ).
fof(f251,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK18) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& sK18 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK19) ) ),
introduced(choice_axiom,[]) ).
fof(f253,plain,
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& sK18 = X2
& sK19 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,sK20)
| ~ segmentP(X3,X5)
| ~ neq(sK20,X5)
| ~ ssList(X5) )
& strictorderedP(sK20)
& segmentP(X3,sK20)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
& ssList(sK20) ) ),
introduced(choice_axiom,[]) ).
fof(f254,plain,
( ? [X3] :
( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,sK20)
| ~ segmentP(X3,X5)
| ~ neq(sK20,X5)
| ~ ssList(X5) )
& strictorderedP(sK20)
& segmentP(X3,sK20)
& sK18 = sK20
& sK19 = X3
& ssList(X3) )
=> ( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,sK20)
| ~ segmentP(sK21,X5)
| ~ neq(sK20,X5)
| ~ ssList(X5) )
& strictorderedP(sK20)
& segmentP(sK21,sK20)
& sK18 = sK20
& sK19 = sK21
& ssList(sK21) ) ),
introduced(choice_axiom,[]) ).
fof(f255,plain,
( ? [X4] :
( ~ memberP(sK19,X4)
& memberP(sK18,X4)
& ssItem(X4) )
=> ( ~ memberP(sK19,sK22)
& memberP(sK18,sK22)
& ssItem(sK22) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ~ memberP(X1,X4)
& memberP(X0,X4)
& ssItem(X4) )
& ! [X5] :
( ~ strictorderedP(X5)
| ~ segmentP(X5,X2)
| ~ segmentP(X3,X5)
| ~ neq(X2,X5)
| ~ ssList(X5) )
& strictorderedP(X2)
& segmentP(X3,X2)
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(ennf_transformation,[],[f98]) ).
fof(f98,plain,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| ? [X5] :
( strictorderedP(X5)
& segmentP(X5,X2)
& segmentP(X3,X5)
& neq(X2,X5)
& ssList(X5) )
| ~ strictorderedP(X2)
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X1,X5)
| ~ memberP(X0,X5) ) )
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& segmentP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ! [X5] :
( ssItem(X5)
=> ( memberP(X1,X5)
| ~ memberP(X0,X5) ) )
| ? [X4] :
( strictorderedP(X4)
& segmentP(X4,X2)
& segmentP(X3,X4)
& neq(X2,X4)
& ssList(X4) )
| ~ strictorderedP(X2)
| ~ segmentP(X3,X2)
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9KnuBQtgNK/Vampire---4.8_13944',co1) ).
fof(f54953,plain,
( ~ ssItem(sK22)
| ~ spl70_130
| ~ spl70_134 ),
inference(subsumption_resolution,[],[f54952,f3725]) ).
fof(f3725,plain,
( ssList(sK66(sK21,sK20))
| ~ spl70_130 ),
inference(avatar_component_clause,[],[f3724]) ).
fof(f3724,plain,
( spl70_130
<=> ssList(sK66(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_130])]) ).
fof(f54952,plain,
( ~ ssList(sK66(sK21,sK20))
| ~ ssItem(sK22)
| ~ spl70_134 ),
inference(subsumption_resolution,[],[f54951,f378]) ).
fof(f378,plain,
ssList(sK20),
inference(cnf_transformation,[],[f256]) ).
fof(f54951,plain,
( ~ ssList(sK20)
| ~ ssList(sK66(sK21,sK20))
| ~ ssItem(sK22)
| ~ spl70_134 ),
inference(subsumption_resolution,[],[f54943,f606]) ).
fof(f606,plain,
memberP(sK20,sK22),
inference(definition_unfolding,[],[f386,f381]) ).
fof(f381,plain,
sK18 = sK20,
inference(cnf_transformation,[],[f256]) ).
fof(f386,plain,
memberP(sK18,sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f54943,plain,
( ~ memberP(sK20,sK22)
| ~ ssList(sK20)
| ~ ssList(sK66(sK21,sK20))
| ~ ssItem(sK22)
| ~ spl70_134 ),
inference(resolution,[],[f54934,f451]) ).
fof(f451,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X2,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f275]) ).
fof(f275,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,[],[f274]) ).
fof(f274,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(app(X1,X2),X0)
| ( ~ memberP(X2,X0)
& ~ memberP(X1,X0) ) )
& ( memberP(X2,X0)
| memberP(X1,X0)
| ~ memberP(app(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f140]) ).
fof(f140,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) )
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f36]) ).
fof(f36,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(app(X1,X2),X0)
<=> ( memberP(X2,X0)
| memberP(X1,X0) ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9KnuBQtgNK/Vampire---4.8_13944',ax36) ).
fof(f54934,plain,
( ~ memberP(app(sK66(sK21,sK20),sK20),sK22)
| ~ spl70_134 ),
inference(subsumption_resolution,[],[f54921,f385]) ).
fof(f54921,plain,
( ~ ssItem(sK22)
| ~ memberP(app(sK66(sK21,sK20),sK20),sK22)
| ~ spl70_134 ),
inference(resolution,[],[f3742,f605]) ).
fof(f605,plain,
~ memberP(sK21,sK22),
inference(definition_unfolding,[],[f387,f380]) ).
fof(f380,plain,
sK19 = sK21,
inference(cnf_transformation,[],[f256]) ).
fof(f387,plain,
~ memberP(sK19,sK22),
inference(cnf_transformation,[],[f256]) ).
fof(f3742,plain,
( ! [X0] :
( memberP(sK21,X0)
| ~ ssItem(X0)
| ~ memberP(app(sK66(sK21,sK20),sK20),X0) )
| ~ spl70_134 ),
inference(avatar_component_clause,[],[f3741]) ).
fof(f3741,plain,
( spl70_134
<=> ! [X0] :
( memberP(sK21,X0)
| ~ ssItem(X0)
| ~ memberP(app(sK66(sK21,sK20),sK20),X0) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_134])]) ).
fof(f4396,plain,
( ~ spl70_130
| spl70_133 ),
inference(avatar_contradiction_clause,[],[f4395]) ).
fof(f4395,plain,
( $false
| ~ spl70_130
| spl70_133 ),
inference(subsumption_resolution,[],[f4394,f3725]) ).
fof(f4394,plain,
( ~ ssList(sK66(sK21,sK20))
| spl70_133 ),
inference(subsumption_resolution,[],[f4393,f378]) ).
fof(f4393,plain,
( ~ ssList(sK20)
| ~ ssList(sK66(sK21,sK20))
| spl70_133 ),
inference(resolution,[],[f3739,f568]) ).
fof(f568,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f186]) ).
fof(f186,plain,
! [X0] :
( ! [X1] :
( ssList(app(X0,X1))
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f26]) ).
fof(f26,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ssList(app(X0,X1)) ) ),
file('/export/starexec/sandbox2/tmp/tmp.9KnuBQtgNK/Vampire---4.8_13944',ax26) ).
fof(f3739,plain,
( ~ ssList(app(sK66(sK21,sK20),sK20))
| spl70_133 ),
inference(avatar_component_clause,[],[f3737]) ).
fof(f3737,plain,
( spl70_133
<=> ssList(app(sK66(sK21,sK20),sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_133])]) ).
fof(f3842,plain,
spl70_130,
inference(avatar_contradiction_clause,[],[f3841]) ).
fof(f3841,plain,
( $false
| spl70_130 ),
inference(subsumption_resolution,[],[f3840,f379]) ).
fof(f379,plain,
ssList(sK21),
inference(cnf_transformation,[],[f256]) ).
fof(f3840,plain,
( ~ ssList(sK21)
| spl70_130 ),
inference(subsumption_resolution,[],[f3839,f378]) ).
fof(f3839,plain,
( ~ ssList(sK20)
| ~ ssList(sK21)
| spl70_130 ),
inference(subsumption_resolution,[],[f3838,f382]) ).
fof(f382,plain,
segmentP(sK21,sK20),
inference(cnf_transformation,[],[f256]) ).
fof(f3838,plain,
( ~ segmentP(sK21,sK20)
| ~ ssList(sK20)
| ~ ssList(sK21)
| spl70_130 ),
inference(resolution,[],[f3726,f583]) ).
fof(f583,plain,
! [X0,X1] :
( ssList(sK66(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f370,plain,
! [X0] :
( ! [X1] :
( ( ( segmentP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(app(X2,X1),X3) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1))
& ssList(sK66(X0,X1)) )
| ~ segmentP(X0,X1) ) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK66,sK67])],[f367,f369,f368]) ).
fof(f368,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(app(X4,X1),X5) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
& ssList(sK66(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f369,plain,
! [X0,X1] :
( ? [X5] :
( app(app(sK66(X0,X1),X1),X5) = X0
& ssList(X5) )
=> ( app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
& ssList(sK67(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f367,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,[],[f366]) ).
fof(f366,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,[],[f202]) ).
fof(f202,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/tmp/tmp.9KnuBQtgNK/Vampire---4.8_13944',ax7) ).
fof(f3726,plain,
( ~ ssList(sK66(sK21,sK20))
| spl70_130 ),
inference(avatar_component_clause,[],[f3724]) ).
fof(f3837,plain,
spl70_131,
inference(avatar_contradiction_clause,[],[f3836]) ).
fof(f3836,plain,
( $false
| spl70_131 ),
inference(subsumption_resolution,[],[f3835,f379]) ).
fof(f3835,plain,
( ~ ssList(sK21)
| spl70_131 ),
inference(subsumption_resolution,[],[f3834,f378]) ).
fof(f3834,plain,
( ~ ssList(sK20)
| ~ ssList(sK21)
| spl70_131 ),
inference(subsumption_resolution,[],[f3833,f382]) ).
fof(f3833,plain,
( ~ segmentP(sK21,sK20)
| ~ ssList(sK20)
| ~ ssList(sK21)
| spl70_131 ),
inference(resolution,[],[f3730,f584]) ).
fof(f584,plain,
! [X0,X1] :
( ssList(sK67(X0,X1))
| ~ segmentP(X0,X1)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f3730,plain,
( ~ ssList(sK67(sK21,sK20))
| spl70_131 ),
inference(avatar_component_clause,[],[f3728]) ).
fof(f3728,plain,
( spl70_131
<=> ssList(sK67(sK21,sK20)) ),
introduced(avatar_definition,[new_symbols(naming,[spl70_131])]) ).
fof(f3743,plain,
( ~ spl70_133
| ~ spl70_131
| spl70_134 ),
inference(avatar_split_clause,[],[f3699,f3741,f3728,f3737]) ).
fof(f3699,plain,
! [X0] :
( memberP(sK21,X0)
| ~ memberP(app(sK66(sK21,sK20),sK20),X0)
| ~ ssList(sK67(sK21,sK20))
| ~ ssList(app(sK66(sK21,sK20),sK20))
| ~ ssItem(X0) ),
inference(superposition,[],[f450,f2713]) ).
fof(f2713,plain,
sK21 = app(app(sK66(sK21,sK20),sK20),sK67(sK21,sK20)),
inference(subsumption_resolution,[],[f2712,f379]) ).
fof(f2712,plain,
( sK21 = app(app(sK66(sK21,sK20),sK20),sK67(sK21,sK20))
| ~ ssList(sK21) ),
inference(subsumption_resolution,[],[f2706,f378]) ).
fof(f2706,plain,
( sK21 = app(app(sK66(sK21,sK20),sK20),sK67(sK21,sK20))
| ~ ssList(sK20)
| ~ ssList(sK21) ),
inference(resolution,[],[f585,f382]) ).
fof(f585,plain,
! [X0,X1] :
( ~ segmentP(X0,X1)
| app(app(sK66(X0,X1),X1),sK67(X0,X1)) = X0
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f370]) ).
fof(f450,plain,
! [X2,X0,X1] :
( memberP(app(X1,X2),X0)
| ~ memberP(X1,X0)
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f275]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : SWC403+1 : TPTP v8.1.2. Released v2.4.0.
% 0.12/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.16/0.36 % Computer : n005.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 300
% 0.16/0.36 % DateTime : Mon Aug 28 14:54:23 EDT 2023
% 0.16/0.36 % CPUTime :
% 0.16/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.16/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.9KnuBQtgNK/Vampire---4.8_13944
% 0.16/0.37 % (14053)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.42 % (14061)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.23/0.43 % (14056)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.23/0.43 % (14058)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (14057)lrs+10_4:5_amm=off:bsr=on:bce=on:flr=on:fsd=off:fde=unused:gs=on:gsem=on:lcm=predicate:sos=all:tgt=ground:stl=62_514 on Vampire---4 for (514ds/0Mi)
% 0.23/0.43 % (14059)ott+11_8:1_aac=none:amm=sco:anc=none:er=known:flr=on:fde=unused:irw=on:nm=0:nwc=1.2:nicw=on:sims=off:sos=all:sac=on_470 on Vampire---4 for (470ds/0Mi)
% 0.23/0.43 % (14054)lrs+1011_1_bd=preordered:flr=on:fsd=off:fsr=off:irw=on:lcm=reverse:msp=off:nm=2:nwc=10.0:sos=on:sp=reverse_weighted_frequency:tgt=full:stl=62_562 on Vampire---4 for (562ds/0Mi)
% 0.23/0.43 % (14060)lrs+10_1024_av=off:bsr=on:br=off:ep=RSTC:fsd=off:irw=on:nm=4:nwc=1.1:sims=off:urr=on:stl=125_440 on Vampire---4 for (440ds/0Mi)
% 12.94/2.26 % (14058)First to succeed.
% 13.42/2.27 % (14058)Refutation found. Thanks to Tanya!
% 13.42/2.27 % SZS status Theorem for Vampire---4
% 13.42/2.27 % SZS output start Proof for Vampire---4
% See solution above
% 13.42/2.27 % (14058)------------------------------
% 13.42/2.27 % (14058)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 13.42/2.27 % (14058)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 13.42/2.27 % (14058)Termination reason: Refutation
% 13.42/2.27
% 13.42/2.27 % (14058)Memory used [KB]: 42088
% 13.42/2.27 % (14058)Time elapsed: 1.832 s
% 13.42/2.27 % (14058)------------------------------
% 13.42/2.27 % (14058)------------------------------
% 13.42/2.27 % (14053)Success in time 1.904 s
% 13.42/2.28 % Vampire---4.8 exiting
%------------------------------------------------------------------------------