TSTP Solution File: SWC392+1 by Vampire---4.8
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- Process Solution
%------------------------------------------------------------------------------
% File : Vampire---4.8
% Problem : SWC392+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 : n010.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 20:59:01 EDT 2023
% Result : Theorem 0.20s 0.43s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 15
% Syntax : Number of formulae : 69 ( 8 unt; 0 def)
% Number of atoms : 421 ( 118 equ)
% Maximal formula atoms : 36 ( 6 avg)
% Number of connectives : 513 ( 161 ~; 160 |; 157 &)
% ( 7 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 20 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 7 con; 0-2 aty)
% Number of variables : 102 (; 53 !; 49 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f794,plain,
$false,
inference(avatar_sat_refutation,[],[f592,f602,f608,f609,f610,f622,f631,f793]) ).
fof(f793,plain,
( ~ spl53_3
| ~ spl53_4
| ~ spl53_5 ),
inference(avatar_contradiction_clause,[],[f792]) ).
fof(f792,plain,
( $false
| ~ spl53_3
| ~ spl53_4
| ~ spl53_5 ),
inference(subsumption_resolution,[],[f789,f624]) ).
fof(f624,plain,
( memberP(sK1,sK4)
| ~ spl53_3 ),
inference(forward_demodulation,[],[f591,f343]) ).
fof(f343,plain,
sK1 = sK3,
inference(cnf_transformation,[],[f230]) ).
fof(f230,plain,
( ( ( nil = sK2
& nil = sK3 )
| ( ! [X5] :
( ~ leq(X5,sK4)
| ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5) )
& memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) )
& ~ memberP(sK1,sK5)
& memberP(sK0,sK5)
& ssItem(sK5)
& sK0 = sK2
& sK1 = sK3
& ssList(sK3)
& ssList(sK2)
& ssList(sK1)
& ssList(sK0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3,sK4,sK5])],[f100,f229,f228,f227,f226,f225,f224]) ).
fof(f224,plain,
( ? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) )
=> ( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(sK0) ) ),
introduced(choice_axiom,[]) ).
fof(f225,plain,
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
=> ( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f226,plain,
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = X2
& sK1 = X3
& ssList(X3) )
& ssList(X2) )
=> ( ? [X3] :
( ( ( nil = sK2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
& ssList(sK2) ) ),
introduced(choice_axiom,[]) ).
fof(f227,plain,
( ? [X3] :
( ( ( nil = sK2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = sK2
& sK1 = X3
& ssList(X3) )
=> ( ( ( nil = sK2
& nil = sK3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(sK1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
& sK0 = sK2
& sK1 = sK3
& ssList(sK3) ) ),
introduced(choice_axiom,[]) ).
fof(f228,plain,
( ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(sK3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(sK3,X4)
& cons(X4,nil) = sK2
& ssItem(X4) )
=> ( ! [X5] :
( ~ leq(X5,sK4)
| ~ memberP(sK3,X5)
| sK4 = X5
| ~ ssItem(X5) )
& memberP(sK3,sK4)
& sK2 = cons(sK4,nil)
& ssItem(sK4) ) ),
introduced(choice_axiom,[]) ).
fof(f229,plain,
( ? [X6] :
( ~ memberP(sK1,X6)
& memberP(sK0,X6)
& ssItem(X6) )
=> ( ~ memberP(sK1,sK5)
& memberP(sK0,sK5)
& ssItem(sK5) ) ),
introduced(choice_axiom,[]) ).
fof(f100,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& X0 = X2
& X1 = X3
& ssList(X3) )
& ssList(X2) )
& ssList(X1) )
& ssList(X0) ),
inference(flattening,[],[f99]) ).
fof(f99,plain,
? [X0] :
( ? [X1] :
( ? [X2] :
( ? [X3] :
( ( ( nil = X2
& nil = X3 )
| ? [X4] :
( ! [X5] :
( ~ leq(X5,X4)
| ~ memberP(X3,X5)
| X4 = X5
| ~ ssItem(X5) )
& memberP(X3,X4)
& cons(X4,nil) = X2
& ssItem(X4) ) )
& ? [X6] :
( ~ memberP(X1,X6)
& memberP(X0,X6)
& ssItem(X6) )
& 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)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X4] :
( ssItem(X4)
=> ( ? [X5] :
( leq(X5,X4)
& memberP(X3,X5)
& X4 != X5
& ssItem(X5) )
| ~ memberP(X3,X4)
| cons(X4,nil) != X2 ) ) )
| ! [X6] :
( ssItem(X6)
=> ( memberP(X1,X6)
| ~ memberP(X0,X6) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(rectify,[],[f97]) ).
fof(f97,negated_conjecture,
~ ! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ? [X6] :
( leq(X6,X5)
& memberP(X3,X6)
& X5 != X6
& ssItem(X6) )
| ~ memberP(X3,X5)
| cons(X5,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
inference(negated_conjecture,[],[f96]) ).
fof(f96,conjecture,
! [X0] :
( ssList(X0)
=> ! [X1] :
( ssList(X1)
=> ! [X2] :
( ssList(X2)
=> ! [X3] :
( ssList(X3)
=> ( ( ( nil != X2
| nil != X3 )
& ! [X5] :
( ssItem(X5)
=> ( ? [X6] :
( leq(X6,X5)
& memberP(X3,X6)
& X5 != X6
& ssItem(X6) )
| ~ memberP(X3,X5)
| cons(X5,nil) != X2 ) ) )
| ! [X4] :
( ssItem(X4)
=> ( memberP(X1,X4)
| ~ memberP(X0,X4) ) )
| X0 != X2
| X1 != X3 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ST2BQACftg/Vampire---4.8_8343',co1) ).
fof(f591,plain,
( memberP(sK3,sK4)
| ~ spl53_3 ),
inference(avatar_component_clause,[],[f589]) ).
fof(f589,plain,
( spl53_3
<=> memberP(sK3,sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_3])]) ).
fof(f789,plain,
( ~ memberP(sK1,sK4)
| ~ spl53_4
| ~ spl53_5 ),
inference(superposition,[],[f347,f784]) ).
fof(f784,plain,
( sK4 = sK5
| ~ spl53_4
| ~ spl53_5 ),
inference(subsumption_resolution,[],[f782,f345]) ).
fof(f345,plain,
ssItem(sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f782,plain,
( sK4 = sK5
| ~ ssItem(sK5)
| ~ spl53_4
| ~ spl53_5 ),
inference(resolution,[],[f693,f346]) ).
fof(f346,plain,
memberP(sK0,sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f693,plain,
( ! [X1] :
( ~ memberP(sK0,X1)
| sK4 = X1
| ~ ssItem(X1) )
| ~ spl53_4
| ~ spl53_5 ),
inference(subsumption_resolution,[],[f692,f365]) ).
fof(f365,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f101]) ).
fof(f101,plain,
! [X0] :
( ~ memberP(nil,X0)
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f38]) ).
fof(f38,axiom,
! [X0] :
( ssItem(X0)
=> ~ memberP(nil,X0) ),
file('/export/starexec/sandbox2/tmp/tmp.ST2BQACftg/Vampire---4.8_8343',ax38) ).
fof(f692,plain,
( ! [X1] :
( ~ memberP(sK0,X1)
| sK4 = X1
| memberP(nil,X1)
| ~ ssItem(X1) )
| ~ spl53_4
| ~ spl53_5 ),
inference(subsumption_resolution,[],[f691,f601]) ).
fof(f601,plain,
( ssItem(sK4)
| ~ spl53_5 ),
inference(avatar_component_clause,[],[f599]) ).
fof(f599,plain,
( spl53_5
<=> ssItem(sK4) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_5])]) ).
fof(f691,plain,
( ! [X1] :
( ~ memberP(sK0,X1)
| sK4 = X1
| memberP(nil,X1)
| ~ ssItem(sK4)
| ~ ssItem(X1) )
| ~ spl53_4 ),
inference(subsumption_resolution,[],[f644,f364]) ).
fof(f364,plain,
ssList(nil),
inference(cnf_transformation,[],[f17]) ).
fof(f17,axiom,
ssList(nil),
file('/export/starexec/sandbox2/tmp/tmp.ST2BQACftg/Vampire---4.8_8343',ax17) ).
fof(f644,plain,
( ! [X1] :
( ~ memberP(sK0,X1)
| sK4 = X1
| memberP(nil,X1)
| ~ ssList(nil)
| ~ ssItem(sK4)
| ~ ssItem(X1) )
| ~ spl53_4 ),
inference(superposition,[],[f395,f623]) ).
fof(f623,plain,
( sK0 = cons(sK4,nil)
| ~ spl53_4 ),
inference(forward_demodulation,[],[f596,f344]) ).
fof(f344,plain,
sK0 = sK2,
inference(cnf_transformation,[],[f230]) ).
fof(f596,plain,
( sK2 = cons(sK4,nil)
| ~ spl53_4 ),
inference(avatar_component_clause,[],[f594]) ).
fof(f594,plain,
( spl53_4
<=> sK2 = cons(sK4,nil) ),
introduced(avatar_definition,[new_symbols(naming,[spl53_4])]) ).
fof(f395,plain,
! [X2,X0,X1] :
( ~ memberP(cons(X1,X2),X0)
| X0 = X1
| memberP(X2,X0)
| ~ ssList(X2)
| ~ ssItem(X1)
| ~ ssItem(X0) ),
inference(cnf_transformation,[],[f237]) ).
fof(f237,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(flattening,[],[f236]) ).
fof(f236,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( ( memberP(cons(X1,X2),X0)
| ( ~ memberP(X2,X0)
& X0 != X1 ) )
& ( memberP(X2,X0)
| X0 = X1
| ~ memberP(cons(X1,X2),X0) ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(nnf_transformation,[],[f136]) ).
fof(f136,plain,
! [X0] :
( ! [X1] :
( ! [X2] :
( ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) )
| ~ ssList(X2) )
| ~ ssItem(X1) )
| ~ ssItem(X0) ),
inference(ennf_transformation,[],[f37]) ).
fof(f37,axiom,
! [X0] :
( ssItem(X0)
=> ! [X1] :
( ssItem(X1)
=> ! [X2] :
( ssList(X2)
=> ( memberP(cons(X1,X2),X0)
<=> ( memberP(X2,X0)
| X0 = X1 ) ) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.ST2BQACftg/Vampire---4.8_8343',ax37) ).
fof(f347,plain,
~ memberP(sK1,sK5),
inference(cnf_transformation,[],[f230]) ).
fof(f631,plain,
( ~ spl53_3
| ~ spl53_5
| ~ spl53_6 ),
inference(avatar_contradiction_clause,[],[f630]) ).
fof(f630,plain,
( $false
| ~ spl53_3
| ~ spl53_5
| ~ spl53_6 ),
inference(subsumption_resolution,[],[f629,f601]) ).
fof(f629,plain,
( ~ ssItem(sK4)
| ~ spl53_3
| ~ spl53_6 ),
inference(resolution,[],[f625,f365]) ).
fof(f625,plain,
( memberP(nil,sK4)
| ~ spl53_3
| ~ spl53_6 ),
inference(forward_demodulation,[],[f624,f615]) ).
fof(f615,plain,
( nil = sK1
| ~ spl53_6 ),
inference(superposition,[],[f606,f343]) ).
fof(f606,plain,
( nil = sK3
| ~ spl53_6 ),
inference(avatar_component_clause,[],[f604]) ).
fof(f604,plain,
( spl53_6
<=> nil = sK3 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_6])]) ).
fof(f622,plain,
( ~ spl53_2
| ~ spl53_6 ),
inference(avatar_contradiction_clause,[],[f621]) ).
fof(f621,plain,
( $false
| ~ spl53_2
| ~ spl53_6 ),
inference(subsumption_resolution,[],[f619,f617]) ).
fof(f617,plain,
( memberP(nil,sK5)
| ~ spl53_2 ),
inference(superposition,[],[f346,f613]) ).
fof(f613,plain,
( nil = sK0
| ~ spl53_2 ),
inference(superposition,[],[f586,f344]) ).
fof(f586,plain,
( nil = sK2
| ~ spl53_2 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f584,plain,
( spl53_2
<=> nil = sK2 ),
introduced(avatar_definition,[new_symbols(naming,[spl53_2])]) ).
fof(f619,plain,
( ~ memberP(nil,sK5)
| ~ spl53_6 ),
inference(superposition,[],[f347,f615]) ).
fof(f610,plain,
( spl53_5
| spl53_6 ),
inference(avatar_split_clause,[],[f348,f604,f599]) ).
fof(f348,plain,
( nil = sK3
| ssItem(sK4) ),
inference(cnf_transformation,[],[f230]) ).
fof(f609,plain,
( spl53_4
| spl53_6 ),
inference(avatar_split_clause,[],[f349,f604,f594]) ).
fof(f349,plain,
( nil = sK3
| sK2 = cons(sK4,nil) ),
inference(cnf_transformation,[],[f230]) ).
fof(f608,plain,
( spl53_3
| spl53_6 ),
inference(avatar_split_clause,[],[f350,f604,f589]) ).
fof(f350,plain,
( nil = sK3
| memberP(sK3,sK4) ),
inference(cnf_transformation,[],[f230]) ).
fof(f602,plain,
( spl53_5
| spl53_2 ),
inference(avatar_split_clause,[],[f352,f584,f599]) ).
fof(f352,plain,
( nil = sK2
| ssItem(sK4) ),
inference(cnf_transformation,[],[f230]) ).
fof(f592,plain,
( spl53_3
| spl53_2 ),
inference(avatar_split_clause,[],[f354,f584,f589]) ).
fof(f354,plain,
( nil = sK2
| memberP(sK3,sK4) ),
inference(cnf_transformation,[],[f230]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC392+1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.35 % Computer : n010.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 : Mon Aug 28 16:03:04 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.13/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.13/0.35 Running vampire_casc2023 --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/tmp/tmp.ST2BQACftg/Vampire---4.8_8343
% 0.13/0.36 % (8484)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42 % (8488)lrs-1004_3_av=off:ep=RSTC:fsd=off:fsr=off:urr=ec_only:stl=62_525 on Vampire---4 for (525ds/0Mi)
% 0.20/0.42 % (8486)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)
% 0.20/0.42 % (8490)ott+1011_4_er=known:fsd=off:nm=4:tgt=ground_499 on Vampire---4 for (499ds/0Mi)
% 0.20/0.42 % (8500)ott+1010_2:5_bd=off:fsd=off:fde=none:nm=16:sos=on_419 on Vampire---4 for (419ds/0Mi)
% 0.20/0.42 % (8489)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)
% 0.20/0.42 % (8499)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)
% 0.20/0.42 % (8498)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)
% 0.20/0.42 % (8500)First to succeed.
% 0.20/0.43 % (8500)Refutation found. Thanks to Tanya!
% 0.20/0.43 % SZS status Theorem for Vampire---4
% 0.20/0.43 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.43 % (8500)------------------------------
% 0.20/0.43 % (8500)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.43 % (8500)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.43 % (8500)Termination reason: Refutation
% 0.20/0.43
% 0.20/0.43 % (8500)Memory used [KB]: 6012
% 0.20/0.43 % (8500)Time elapsed: 0.012 s
% 0.20/0.43 % (8500)------------------------------
% 0.20/0.43 % (8500)------------------------------
% 0.20/0.43 % (8484)Success in time 0.069 s
% 0.20/0.43 % Vampire---4.8 exiting
%------------------------------------------------------------------------------