TSTP Solution File: SWC265+1 by Vampire---4.8
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%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC265+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 : n014.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 20:57:59 EDT 2023
% Result : Theorem 10.29s 1.87s
% Output : Refutation 10.29s
% Verified :
% SZS Type : Refutation
% Derivation depth : 31
% Number of leaves : 27
% Syntax : Number of formulae : 135 ( 11 unt; 0 def)
% Number of atoms : 780 ( 91 equ)
% Maximal formula atoms : 32 ( 5 avg)
% Number of connectives : 1074 ( 429 ~; 426 |; 168 &)
% ( 14 <=>; 37 =>; 0 <=; 0 <~>)
% Maximal formula depth : 22 ( 7 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 8 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 5 con; 0-2 aty)
% Number of variables : 270 (; 195 !; 75 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f27746,plain,
$false,
inference(avatar_sat_refutation,[],[f6531,f6535,f6563,f9346,f9353,f14089,f14481,f27730]) ).
fof(f27730,plain,
( ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_76
| ~ spl51_80
| ~ spl51_82 ),
inference(avatar_contradiction_clause,[],[f27729]) ).
fof(f27729,plain,
( $false
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_76
| ~ spl51_80
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27728,f569]) ).
fof(f569,plain,
ssList(sK0),
inference(forward_demodulation,[],[f337,f340]) ).
fof(f340,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f226]) ).
fof(f226,plain,
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f98,f225,f224,f223,f222]) ).
fof(f222,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ totalorderedP(X0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f223,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f224,plain,
( ? [X2] :
( ? [X3] :
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X3] :
( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ~ totalorderedP(sK0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != sK2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(X4) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f98,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ~ totalorderedP(X0)
& ! [X4] :
( ! [X5] :
( ! [X6] :
( ! [X7] :
( ( ( ~ memberP(X5,X7)
| lt(X7,X4) )
& ( ~ memberP(X6,X7)
| lt(X4,X7) ) )
| ~ ssItem(X7) )
| app(app(X5,cons(X4,nil)),X6) != X2
| ~ ssList(X6) )
| ~ ssList(X5) )
| ~ ssItem(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] :
( totalorderedP(X0)
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( totalorderedP(X0)
| ? [X4] :
( ? [X5] :
( ? [X6] :
( ? [X7] :
( ( ( memberP(X5,X7)
& ~ lt(X7,X4) )
| ( memberP(X6,X7)
& ~ lt(X4,X7) ) )
& ssItem(X7) )
& app(app(X5,cons(X4,nil)),X6) = X2
& ssList(X6) )
& ssList(X5) )
& ssItem(X4) )
| X0 != X2
| X1 != X3
| ~ ssList(X3) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',co1) ).
fof(f337,plain,
ssList(sK2),
inference(cnf_transformation,[],[f226]) ).
fof(f27728,plain,
( ~ ssList(sK0)
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_76
| ~ spl51_80
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27722,f343]) ).
fof(f343,plain,
~ totalorderedP(sK0),
inference(cnf_transformation,[],[f226]) ).
fof(f27722,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_76
| ~ spl51_80
| ~ spl51_82 ),
inference(resolution,[],[f27717,f480]) ).
fof(f480,plain,
! [X0] :
( ~ leq(sK38(X0),sK39(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f307,plain,
! [X0] :
( ( ( totalorderedP(X0)
| ( ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
& ssList(sK42(X0))
& ssList(sK41(X0))
& ssList(sK40(X0))
& ssItem(sK39(X0))
& ssItem(sK38(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) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK38,sK39,sK40,sK41,sK42])],[f301,f306,f305,f304,f303,f302]) ).
fof(f302,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(sK38(X0),X2)
& app(app(X3,cons(sK38(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
& ssItem(sK38(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f303,plain,
! [X0] :
( ? [X2] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),X2)
& app(app(X3,cons(sK38(X0),X4)),cons(X2,X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(X2) )
=> ( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK39(X0))
& app(app(X3,cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
& ssItem(sK39(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f304,plain,
! [X0] :
( ? [X3] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK39(X0))
& app(app(X3,cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(X3) )
=> ( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
& ssList(sK40(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f305,plain,
! [X0] :
( ? [X4] :
( ? [X5] :
( ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),X4)),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),X5)) = X0
& ssList(X5) )
& ssList(sK41(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f306,plain,
! [X0] :
( ? [X5] :
( ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),X5)) = X0
& ssList(X5) )
=> ( ~ leq(sK38(X0),sK39(X0))
& app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
& ssList(sK42(X0)) ) ),
introduced(choice_axiom,[]) ).
fof(f301,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) ) )
& ( ! [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) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(rectify,[],[f300]) ).
fof(f300,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) ) )
& ( ! [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) )
| ~ totalorderedP(X0) ) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f173]) ).
fof(f173,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,[],[f172]) ).
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(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/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax11) ).
fof(f27717,plain,
( leq(sK38(sK0),sK39(sK0))
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_76
| ~ spl51_80
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27716,f6529]) ).
fof(f6529,plain,
( ssItem(sK38(sK0))
| ~ spl51_63 ),
inference(avatar_component_clause,[],[f6528]) ).
fof(f6528,plain,
( spl51_63
<=> ssItem(sK38(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_63])]) ).
fof(f27716,plain,
( leq(sK38(sK0),sK39(sK0))
| ~ ssItem(sK38(sK0))
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_76
| ~ spl51_80
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27709,f9335]) ).
fof(f9335,plain,
( ssItem(sK39(sK0))
| ~ spl51_76 ),
inference(avatar_component_clause,[],[f9334]) ).
fof(f9334,plain,
( spl51_76
<=> ssItem(sK39(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_76])]) ).
fof(f27709,plain,
( leq(sK38(sK0),sK39(sK0))
| ~ ssItem(sK39(sK0))
| ~ ssItem(sK38(sK0))
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_80
| ~ spl51_82 ),
inference(resolution,[],[f27687,f376]) ).
fof(f376,plain,
! [X0,X1] :
( ~ lt(X0,X1)
| leq(X0,X1)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f231]) ).
fof(f231,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,[],[f230]) ).
fof(f230,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,[],[f123]) ).
fof(f123,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/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax93) ).
fof(f27687,plain,
( lt(sK38(sK0),sK39(sK0))
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_80
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27686,f9322]) ).
fof(f9322,plain,
( ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ spl51_73 ),
inference(avatar_component_clause,[],[f9321]) ).
fof(f9321,plain,
( spl51_73
<=> ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_73])]) ).
fof(f27686,plain,
( lt(sK38(sK0),sK39(sK0))
| ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_80
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27685,f14079]) ).
fof(f14079,plain,
( ssList(sK40(sK0))
| ~ spl51_80 ),
inference(avatar_component_clause,[],[f14078]) ).
fof(f14078,plain,
( spl51_80
<=> ssList(sK40(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_80])]) ).
fof(f27685,plain,
( lt(sK38(sK0),sK39(sK0))
| ~ ssList(sK40(sK0))
| ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ spl51_62
| ~ spl51_63
| ~ spl51_73
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27684,f6525]) ).
fof(f6525,plain,
( ssList(sK41(sK0))
| ~ spl51_62 ),
inference(avatar_component_clause,[],[f6524]) ).
fof(f6524,plain,
( spl51_62
<=> ssList(sK41(sK0)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_62])]) ).
fof(f27684,plain,
( lt(sK38(sK0),sK39(sK0))
| ~ ssList(sK41(sK0))
| ~ ssList(sK40(sK0))
| ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ spl51_63
| ~ spl51_73
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27677,f6529]) ).
fof(f27677,plain,
( ~ ssItem(sK38(sK0))
| lt(sK38(sK0),sK39(sK0))
| ~ ssList(sK41(sK0))
| ~ ssList(sK40(sK0))
| ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ spl51_73
| ~ spl51_82 ),
inference(duplicate_literal_removal,[],[f27676]) ).
fof(f27676,plain,
( ~ ssItem(sK38(sK0))
| lt(sK38(sK0),sK39(sK0))
| ~ ssList(sK41(sK0))
| ~ ssList(sK40(sK0))
| ~ ssItem(sK38(sK0))
| ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ spl51_73
| ~ spl51_82 ),
inference(resolution,[],[f27665,f554]) ).
fof(f554,plain,
! [X2,X3,X1] :
( memberP(app(X2,cons(X1,X3)),X1)
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(app(X2,cons(X1,X3))) ),
inference(equality_resolution,[],[f496]) ).
fof(f496,plain,
! [X2,X3,X0,X1] :
( memberP(X0,X1)
| app(X2,cons(X1,X3)) != X0
| ~ ssList(X3)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f315]) ).
fof(f315,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ( app(sK43(X0,X1),cons(X1,sK44(X0,X1))) = X0
& ssList(sK44(X0,X1))
& ssList(sK43(X0,X1)) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK43,sK44])],[f312,f314,f313]) ).
fof(f313,plain,
! [X0,X1] :
( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
=> ( ? [X5] :
( app(sK43(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
& ssList(sK43(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f314,plain,
! [X0,X1] :
( ? [X5] :
( app(sK43(X0,X1),cons(X1,X5)) = X0
& ssList(X5) )
=> ( app(sK43(X0,X1),cons(X1,sK44(X0,X1))) = X0
& ssList(sK44(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f312,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X4] :
( ? [X5] :
( app(X4,cons(X1,X5)) = X0
& ssList(X5) )
& ssList(X4) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(rectify,[],[f311]) ).
fof(f311,plain,
! [X0] :
( ! [X1] :
( ( ( memberP(X0,X1)
| ! [X2] :
( ! [X3] :
( app(X2,cons(X1,X3)) != X0
| ~ ssList(X3) )
| ~ ssList(X2) ) )
& ( ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) )
| ~ memberP(X0,X1) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(nnf_transformation,[],[f183]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) )
| ~ ssItem(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f3]) ).
fof(f3,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssItem(X1)
=> ( memberP(X0,X1)
<=> ? [X2] :
( ? [X3] :
( app(X2,cons(X1,X3)) = X0
& ssList(X3) )
& ssList(X2) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax3) ).
fof(f27665,plain,
( ! [X0] :
( ~ memberP(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))),X0)
| ~ ssItem(X0)
| lt(X0,sK39(sK0)) )
| ~ spl51_73
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27664,f569]) ).
fof(f27664,plain,
( ! [X0] :
( lt(X0,sK39(sK0))
| ~ ssItem(X0)
| ~ memberP(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))),X0)
| ~ ssList(sK0) )
| ~ spl51_73
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27663,f343]) ).
fof(f27663,plain,
( ! [X0] :
( lt(X0,sK39(sK0))
| ~ ssItem(X0)
| ~ memberP(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))),X0)
| totalorderedP(sK0)
| ~ ssList(sK0) )
| ~ spl51_73
| ~ spl51_82 ),
inference(subsumption_resolution,[],[f27662,f14472]) ).
fof(f14472,plain,
( ssList(cons(sK39(sK0),nil))
| ~ spl51_82 ),
inference(avatar_component_clause,[],[f14471]) ).
fof(f14471,plain,
( spl51_82
<=> ssList(cons(sK39(sK0),nil)) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_82])]) ).
fof(f27662,plain,
( ! [X0] :
( lt(X0,sK39(sK0))
| ~ ssItem(X0)
| ~ memberP(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))),X0)
| ~ ssList(cons(sK39(sK0),nil))
| totalorderedP(sK0)
| ~ ssList(sK0) )
| ~ spl51_73 ),
inference(subsumption_resolution,[],[f27661,f9322]) ).
fof(f27661,plain,
! [X0] :
( lt(X0,sK39(sK0))
| ~ ssItem(X0)
| ~ memberP(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))),X0)
| ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| ~ ssList(cons(sK39(sK0),nil))
| totalorderedP(sK0)
| ~ ssList(sK0) ),
inference(equality_resolution,[],[f1700]) ).
fof(f1700,plain,
! [X19,X20] :
( sK0 != X19
| lt(X20,sK39(X19))
| ~ ssItem(X20)
| ~ memberP(app(sK40(X19),cons(sK38(X19),sK41(X19))),X20)
| ~ ssList(app(sK40(X19),cons(sK38(X19),sK41(X19))))
| ~ ssList(cons(sK39(X19),nil))
| totalorderedP(X19)
| ~ ssList(X19) ),
inference(subsumption_resolution,[],[f1699,f475]) ).
fof(f475,plain,
! [X0] :
( ssItem(sK39(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1699,plain,
! [X19,X20] :
( sK0 != X19
| lt(X20,sK39(X19))
| ~ ssItem(X20)
| ~ memberP(app(sK40(X19),cons(sK38(X19),sK41(X19))),X20)
| ~ ssList(app(sK40(X19),cons(sK38(X19),sK41(X19))))
| ~ ssItem(sK39(X19))
| ~ ssList(cons(sK39(X19),nil))
| totalorderedP(X19)
| ~ ssList(X19) ),
inference(subsumption_resolution,[],[f1673,f478]) ).
fof(f478,plain,
! [X0] :
( ssList(sK42(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f1673,plain,
! [X19,X20] :
( sK0 != X19
| lt(X20,sK39(X19))
| ~ ssItem(X20)
| ~ memberP(app(sK40(X19),cons(sK38(X19),sK41(X19))),X20)
| ~ ssList(sK42(X19))
| ~ ssList(app(sK40(X19),cons(sK38(X19),sK41(X19))))
| ~ ssItem(sK39(X19))
| ~ ssList(cons(sK39(X19),nil))
| totalorderedP(X19)
| ~ ssList(X19) ),
inference(superposition,[],[f910,f479]) ).
fof(f479,plain,
! [X0] :
( app(app(sK40(X0),cons(sK38(X0),sK41(X0))),cons(sK39(X0),sK42(X0))) = X0
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f910,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X2,cons(X0,X1))
| lt(X3,X0)
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil)) ),
inference(duplicate_literal_removal,[],[f897]) ).
fof(f897,plain,
! [X2,X3,X0,X1] :
( sK0 != app(X2,cons(X0,X1))
| lt(X3,X0)
| ~ ssItem(X3)
| ~ memberP(X2,X3)
| ~ ssList(X1)
| ~ ssList(X2)
| ~ ssItem(X0)
| ~ ssList(cons(X0,nil))
| ~ ssItem(X0)
| ~ ssList(X1) ),
inference(superposition,[],[f627,f492]) ).
fof(f492,plain,
! [X0,X1] :
( cons(X1,X0) = app(cons(X1,nil),X0)
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f182]) ).
fof(f182,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/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax81) ).
fof(f627,plain,
! [X3,X6,X4,X5] :
( sK0 != app(X3,app(cons(X4,nil),X5))
| lt(X6,X4)
| ~ ssItem(X6)
| ~ memberP(X3,X6)
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ ssList(cons(X4,nil)) ),
inference(forward_demodulation,[],[f612,f340]) ).
fof(f612,plain,
! [X3,X6,X4,X5] :
( sK2 != app(X3,app(cons(X4,nil),X5))
| lt(X6,X4)
| ~ ssItem(X6)
| ~ memberP(X3,X6)
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ ssList(cons(X4,nil)) ),
inference(duplicate_literal_removal,[],[f609]) ).
fof(f609,plain,
! [X3,X6,X4,X5] :
( sK2 != app(X3,app(cons(X4,nil),X5))
| lt(X6,X4)
| ~ ssItem(X6)
| ~ memberP(X3,X6)
| ~ ssList(X5)
| ~ ssList(X3)
| ~ ssItem(X4)
| ~ ssList(X5)
| ~ ssList(cons(X4,nil))
| ~ ssList(X3) ),
inference(superposition,[],[f342,f522]) ).
fof(f522,plain,
! [X2,X0,X1] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2)
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f205]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( app(app(X0,X1),X2) = app(X0,app(X1,X2))
| ~ ssList(X2) )
| ~ ssList(X1) )
| ~ ssList(X0) ),
inference(ennf_transformation,[],[f82]) ).
fof(f82,axiom,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> app(app(X0,X1),X2) = app(X0,app(X1,X2)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax82) ).
fof(f342,plain,
! [X6,X7,X4,X5] :
( app(app(X5,cons(X4,nil)),X6) != sK2
| lt(X7,X4)
| ~ ssItem(X7)
| ~ memberP(X5,X7)
| ~ ssList(X6)
| ~ ssList(X5)
| ~ ssItem(X4) ),
inference(cnf_transformation,[],[f226]) ).
fof(f14481,plain,
( ~ spl51_76
| spl51_82 ),
inference(avatar_contradiction_clause,[],[f14480]) ).
fof(f14480,plain,
( $false
| ~ spl51_76
| spl51_82 ),
inference(subsumption_resolution,[],[f14479,f352]) ).
fof(f352,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax17) ).
fof(f14479,plain,
( ~ ssList(nil)
| ~ spl51_76
| spl51_82 ),
inference(subsumption_resolution,[],[f14478,f9335]) ).
fof(f14478,plain,
( ~ ssItem(sK39(sK0))
| ~ ssList(nil)
| spl51_82 ),
inference(resolution,[],[f14473,f487]) ).
fof(f487,plain,
! [X0,X1] :
( ssList(cons(X1,X0))
| ~ ssItem(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f177]) ).
fof(f177,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/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347',ax16) ).
fof(f14473,plain,
( ~ ssList(cons(sK39(sK0),nil))
| spl51_82 ),
inference(avatar_component_clause,[],[f14471]) ).
fof(f14089,plain,
spl51_80,
inference(avatar_contradiction_clause,[],[f14088]) ).
fof(f14088,plain,
( $false
| spl51_80 ),
inference(subsumption_resolution,[],[f14087,f569]) ).
fof(f14087,plain,
( ~ ssList(sK0)
| spl51_80 ),
inference(subsumption_resolution,[],[f14086,f343]) ).
fof(f14086,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl51_80 ),
inference(resolution,[],[f14080,f476]) ).
fof(f476,plain,
! [X0] :
( ssList(sK40(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f14080,plain,
( ~ ssList(sK40(sK0))
| spl51_80 ),
inference(avatar_component_clause,[],[f14078]) ).
fof(f9353,plain,
( ~ spl51_58
| spl51_73 ),
inference(avatar_contradiction_clause,[],[f9352]) ).
fof(f9352,plain,
( $false
| ~ spl51_58
| spl51_73 ),
inference(subsumption_resolution,[],[f9351,f569]) ).
fof(f9351,plain,
( ~ ssList(sK0)
| ~ spl51_58
| spl51_73 ),
inference(subsumption_resolution,[],[f9350,f343]) ).
fof(f9350,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| ~ spl51_58
| spl51_73 ),
inference(resolution,[],[f9349,f476]) ).
fof(f9349,plain,
( ~ ssList(sK40(sK0))
| ~ spl51_58
| spl51_73 ),
inference(subsumption_resolution,[],[f9348,f6498]) ).
fof(f6498,plain,
( ssList(cons(sK38(sK0),sK41(sK0)))
| ~ spl51_58 ),
inference(avatar_component_clause,[],[f6497]) ).
fof(f6497,plain,
( spl51_58
<=> ssList(cons(sK38(sK0),sK41(sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl51_58])]) ).
fof(f9348,plain,
( ~ ssList(cons(sK38(sK0),sK41(sK0)))
| ~ ssList(sK40(sK0))
| spl51_73 ),
inference(resolution,[],[f9323,f497]) ).
fof(f497,plain,
! [X0,X1] :
( ssList(app(X0,X1))
| ~ ssList(X1)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f184]) ).
fof(f184,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.dC4CN8KXuh/Vampire---4.8_21347',ax26) ).
fof(f9323,plain,
( ~ ssList(app(sK40(sK0),cons(sK38(sK0),sK41(sK0))))
| spl51_73 ),
inference(avatar_component_clause,[],[f9321]) ).
fof(f9346,plain,
spl51_76,
inference(avatar_contradiction_clause,[],[f9345]) ).
fof(f9345,plain,
( $false
| spl51_76 ),
inference(subsumption_resolution,[],[f9344,f569]) ).
fof(f9344,plain,
( ~ ssList(sK0)
| spl51_76 ),
inference(subsumption_resolution,[],[f9343,f343]) ).
fof(f9343,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl51_76 ),
inference(resolution,[],[f9336,f475]) ).
fof(f9336,plain,
( ~ ssItem(sK39(sK0))
| spl51_76 ),
inference(avatar_component_clause,[],[f9334]) ).
fof(f6563,plain,
spl51_63,
inference(avatar_contradiction_clause,[],[f6562]) ).
fof(f6562,plain,
( $false
| spl51_63 ),
inference(subsumption_resolution,[],[f6561,f569]) ).
fof(f6561,plain,
( ~ ssList(sK0)
| spl51_63 ),
inference(subsumption_resolution,[],[f6560,f343]) ).
fof(f6560,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl51_63 ),
inference(resolution,[],[f6530,f474]) ).
fof(f474,plain,
! [X0] :
( ssItem(sK38(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f6530,plain,
( ~ ssItem(sK38(sK0))
| spl51_63 ),
inference(avatar_component_clause,[],[f6528]) ).
fof(f6535,plain,
spl51_62,
inference(avatar_contradiction_clause,[],[f6534]) ).
fof(f6534,plain,
( $false
| spl51_62 ),
inference(subsumption_resolution,[],[f6533,f569]) ).
fof(f6533,plain,
( ~ ssList(sK0)
| spl51_62 ),
inference(subsumption_resolution,[],[f6532,f343]) ).
fof(f6532,plain,
( totalorderedP(sK0)
| ~ ssList(sK0)
| spl51_62 ),
inference(resolution,[],[f6526,f477]) ).
fof(f477,plain,
! [X0] :
( ssList(sK41(X0))
| totalorderedP(X0)
| ~ ssList(X0) ),
inference(cnf_transformation,[],[f307]) ).
fof(f6526,plain,
( ~ ssList(sK41(sK0))
| spl51_62 ),
inference(avatar_component_clause,[],[f6524]) ).
fof(f6531,plain,
( ~ spl51_62
| ~ spl51_63
| spl51_58 ),
inference(avatar_split_clause,[],[f6522,f6497,f6528,f6524]) ).
fof(f6522,plain,
( ~ ssItem(sK38(sK0))
| ~ ssList(sK41(sK0))
| spl51_58 ),
inference(resolution,[],[f6499,f487]) ).
fof(f6499,plain,
( ~ ssList(cons(sK38(sK0),sK41(sK0)))
| spl51_58 ),
inference(avatar_component_clause,[],[f6497]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC265+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.15 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.15/0.36 % Computer : n014.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Mon Aug 28 16:27:15 EDT 2023
% 0.15/0.36 % CPUTime :
% 0.15/0.36 This is a FOF_THM_RFO_SEQ problem
% 0.15/0.36 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.dC4CN8KXuh/Vampire---4.8_21347
% 0.23/0.37 % (21461)Running in auto input_syntax mode. Trying TPTP
% 0.23/0.43 % (21470)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 % (21472)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.23/0.43 % (21474)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)
% 0.23/0.43 % (21475)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 % (21462)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 % (21471)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 % (21473)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)
% 10.29/1.87 % (21475)First to succeed.
% 10.29/1.87 % (21475)Refutation found. Thanks to Tanya!
% 10.29/1.87 % SZS status Theorem for Vampire---4
% 10.29/1.87 % SZS output start Proof for Vampire---4
% See solution above
% 10.29/1.88 % (21475)------------------------------
% 10.29/1.88 % (21475)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 10.29/1.88 % (21475)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 10.29/1.88 % (21475)Termination reason: Refutation
% 10.29/1.88
% 10.29/1.88 % (21475)Memory used [KB]: 26225
% 10.29/1.88 % (21475)Time elapsed: 1.444 s
% 10.29/1.88 % (21475)------------------------------
% 10.29/1.88 % (21475)------------------------------
% 10.29/1.88 % (21461)Success in time 1.507 s
% 10.29/1.88 % Vampire---4.8 exiting
%------------------------------------------------------------------------------