TSTP Solution File: GEO177+2 by Vampire-SAT---4.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Vampire-SAT---4.8
% Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 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 : Fri Sep 1 14:43:15 EDT 2023
% Result : Theorem 0.20s 0.45s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 73 ( 10 unt; 0 def)
% Number of atoms : 261 ( 0 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 269 ( 81 ~; 143 |; 28 &)
% ( 5 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 89 (; 77 !; 12 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f741,plain,
$false,
inference(avatar_sat_refutation,[],[f65,f286,f300,f552,f697,f740]) ).
fof(f740,plain,
~ spl4_10,
inference(avatar_contradiction_clause,[],[f739]) ).
fof(f739,plain,
( $false
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f738,f38]) ).
fof(f38,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f37]) ).
fof(f37,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3])],[f18,f36]) ).
fof(f36,plain,
( ? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) )
& distinct_points(sK2,sK3)
& distinct_points(sK0,sK1) ) ),
introduced(choice_axiom,[]) ).
fof(f18,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f17,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
& distinct_points(X2,X3)
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f15]) ).
fof(f15,plain,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X2,X3)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X2,X3))
| apart_point_and_line(X0,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X3,line_connecting(X0,X1))
| apart_point_and_line(X2,line_connecting(X0,X1)) ) ) ),
inference(rectify,[],[f14]) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[],[f13]) ).
fof(f13,conjecture,
! [X0,X1,X3,X4] :
( ( distinct_points(X3,X4)
& distinct_points(X0,X1) )
=> ( ( apart_point_and_line(X1,line_connecting(X3,X4))
| apart_point_and_line(X0,line_connecting(X3,X4)) )
=> ( apart_point_and_line(X4,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.smwfiToNyO/Vampire---4.8_29216',con) ).
fof(f738,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f734,f45]) ).
fof(f45,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/tmp/tmp.smwfiToNyO/Vampire---4.8_29216',apart1) ).
fof(f734,plain,
( distinct_points(sK1,sK1)
| ~ distinct_points(sK0,sK1)
| ~ spl4_10 ),
inference(resolution,[],[f721,f53]) ).
fof(f53,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f29,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f28]) ).
fof(f28,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X1)
& distinct_points(X2,X0) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X1)
& distinct_points(X2,X0) ) ) ),
file('/export/starexec/sandbox2/tmp/tmp.smwfiToNyO/Vampire---4.8_29216',con1) ).
fof(f721,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl4_10 ),
inference(subsumption_resolution,[],[f715,f41]) ).
fof(f41,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f715,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_10 ),
inference(resolution,[],[f249,f42]) ).
fof(f42,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f37]) ).
fof(f249,plain,
( ! [X52] :
( apart_point_and_line(sK3,X52)
| apart_point_and_line(sK1,X52)
| apart_point_and_line(sK2,X52) )
| ~ spl4_10 ),
inference(avatar_component_clause,[],[f248]) ).
fof(f248,plain,
( spl4_10
<=> ! [X52] :
( apart_point_and_line(sK2,X52)
| apart_point_and_line(sK1,X52)
| apart_point_and_line(sK3,X52) ) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_10])]) ).
fof(f697,plain,
( spl4_10
| ~ spl4_2
| spl4_3
| spl4_5 ),
inference(avatar_split_clause,[],[f696,f228,f220,f62,f248]) ).
fof(f62,plain,
( spl4_2
<=> apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_2])]) ).
fof(f220,plain,
( spl4_3
<=> apart_point_and_line(sK2,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_3])]) ).
fof(f228,plain,
( spl4_5
<=> apart_point_and_line(sK3,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_5])]) ).
fof(f696,plain,
( ! [X58] :
( apart_point_and_line(sK2,X58)
| apart_point_and_line(sK3,X58)
| apart_point_and_line(sK1,X58) )
| ~ spl4_2
| spl4_3
| spl4_5 ),
inference(subsumption_resolution,[],[f695,f221]) ).
fof(f221,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK2,sK3))
| spl4_3 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f695,plain,
( ! [X58] :
( apart_point_and_line(sK2,X58)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X58)
| apart_point_and_line(sK1,X58) )
| ~ spl4_2
| spl4_5 ),
inference(subsumption_resolution,[],[f666,f229]) ).
fof(f229,plain,
( ~ apart_point_and_line(sK3,line_connecting(sK2,sK3))
| spl4_5 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f666,plain,
( ! [X58] :
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,X58)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X58)
| apart_point_and_line(sK1,X58) )
| ~ spl4_2 ),
inference(resolution,[],[f578,f39]) ).
fof(f39,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f37]) ).
fof(f578,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,line_connecting(sK2,sK3))
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X1,X0)
| apart_point_and_line(sK1,X0) )
| ~ spl4_2 ),
inference(resolution,[],[f560,f56]) ).
fof(f56,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f35]) ).
fof(f35,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f34]) ).
fof(f34,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2)
| ~ distinct_lines(X2,X3)
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f16]) ).
fof(f16,plain,
! [X0,X1,X2,X3] :
( ( distinct_lines(X2,X3)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X0,X2) ) ),
inference(rectify,[],[f9]) ).
fof(f9,axiom,
! [X0,X1,X3,X4] :
( ( distinct_lines(X3,X4)
& distinct_points(X0,X1) )
=> ( apart_point_and_line(X1,X4)
| apart_point_and_line(X1,X3)
| apart_point_and_line(X0,X4)
| apart_point_and_line(X0,X3) ) ),
file('/export/starexec/sandbox2/tmp/tmp.smwfiToNyO/Vampire---4.8_29216',cu1) ).
fof(f560,plain,
( ! [X1] :
( distinct_lines(line_connecting(sK2,sK3),X1)
| apart_point_and_line(sK1,X1) )
| ~ spl4_2 ),
inference(resolution,[],[f64,f54]) ).
fof(f54,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f31]) ).
fof(f31,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f30]) ).
fof(f30,plain,
! [X0,X1,X2] :
( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/tmp/tmp.smwfiToNyO/Vampire---4.8_29216',ceq2) ).
fof(f64,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| ~ spl4_2 ),
inference(avatar_component_clause,[],[f62]) ).
fof(f552,plain,
( ~ spl4_1
| spl4_3
| spl4_5 ),
inference(avatar_contradiction_clause,[],[f551]) ).
fof(f551,plain,
( $false
| ~ spl4_1
| spl4_3
| spl4_5 ),
inference(subsumption_resolution,[],[f550,f38]) ).
fof(f550,plain,
( ~ distinct_points(sK0,sK1)
| ~ spl4_1
| spl4_3
| spl4_5 ),
inference(subsumption_resolution,[],[f547,f45]) ).
fof(f547,plain,
( distinct_points(sK0,sK0)
| ~ distinct_points(sK0,sK1)
| ~ spl4_1
| spl4_3
| spl4_5 ),
inference(resolution,[],[f524,f52]) ).
fof(f52,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0)
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f29]) ).
fof(f524,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_1
| spl4_3
| spl4_5 ),
inference(subsumption_resolution,[],[f518,f41]) ).
fof(f518,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl4_1
| spl4_3
| spl4_5 ),
inference(resolution,[],[f436,f42]) ).
fof(f436,plain,
( ! [X60] :
( apart_point_and_line(sK3,X60)
| apart_point_and_line(sK2,X60)
| apart_point_and_line(sK0,X60) )
| ~ spl4_1
| spl4_3
| spl4_5 ),
inference(subsumption_resolution,[],[f435,f221]) ).
fof(f435,plain,
( ! [X60] :
( apart_point_and_line(sK2,X60)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X60)
| apart_point_and_line(sK0,X60) )
| ~ spl4_1
| spl4_5 ),
inference(subsumption_resolution,[],[f403,f229]) ).
fof(f403,plain,
( ! [X60] :
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,X60)
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| apart_point_and_line(sK3,X60)
| apart_point_and_line(sK0,X60) )
| ~ spl4_1 ),
inference(resolution,[],[f289,f39]) ).
fof(f289,plain,
( ! [X2,X0,X1] :
( ~ distinct_points(X2,X1)
| apart_point_and_line(X1,line_connecting(sK2,sK3))
| apart_point_and_line(X2,X0)
| apart_point_and_line(X2,line_connecting(sK2,sK3))
| apart_point_and_line(X1,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl4_1 ),
inference(resolution,[],[f267,f56]) ).
fof(f267,plain,
( ! [X1] :
( distinct_lines(line_connecting(sK2,sK3),X1)
| apart_point_and_line(sK0,X1) )
| ~ spl4_1 ),
inference(resolution,[],[f60,f54]) ).
fof(f60,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| ~ spl4_1 ),
inference(avatar_component_clause,[],[f58]) ).
fof(f58,plain,
( spl4_1
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(avatar_definition,[new_symbols(naming,[spl4_1])]) ).
fof(f300,plain,
~ spl4_5,
inference(avatar_contradiction_clause,[],[f299]) ).
fof(f299,plain,
( $false
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f298,f39]) ).
fof(f298,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_5 ),
inference(subsumption_resolution,[],[f294,f45]) ).
fof(f294,plain,
( distinct_points(sK3,sK3)
| ~ distinct_points(sK2,sK3)
| ~ spl4_5 ),
inference(resolution,[],[f230,f53]) ).
fof(f230,plain,
( apart_point_and_line(sK3,line_connecting(sK2,sK3))
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f228]) ).
fof(f286,plain,
~ spl4_3,
inference(avatar_contradiction_clause,[],[f285]) ).
fof(f285,plain,
( $false
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f284,f39]) ).
fof(f284,plain,
( ~ distinct_points(sK2,sK3)
| ~ spl4_3 ),
inference(subsumption_resolution,[],[f281,f45]) ).
fof(f281,plain,
( distinct_points(sK2,sK2)
| ~ distinct_points(sK2,sK3)
| ~ spl4_3 ),
inference(resolution,[],[f222,f52]) ).
fof(f222,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f65,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f40,f62,f58]) ).
fof(f40,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO177+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.14 % Command : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.13/0.37 % Computer : n014.cluster.edu
% 0.13/0.37 % Model : x86_64 x86_64
% 0.13/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.37 % Memory : 8042.1875MB
% 0.13/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.37 % CPULimit : 300
% 0.13/0.37 % WCLimit : 300
% 0.13/0.37 % DateTime : Wed Aug 30 18:09:44 EDT 2023
% 0.13/0.37 % CPUTime :
% 0.20/0.43 % (29330)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.44 % (29336)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on Vampire---4 for (476ds/0Mi)
% 0.20/0.44 % (29334)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on Vampire---4 for (569ds/0Mi)
% 0.20/0.44 % (29340)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.44 % (29337)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on Vampire---4 for (470ds/0Mi)
% 0.20/0.44 % (29339)dis+11_4:5_nm=4_216 on Vampire---4 for (216ds/0Mi)
% 0.20/0.44 % (29338)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on Vampire---4 for (396ds/0Mi)
% 0.20/0.44 % (29333)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on Vampire---4 for (1451ds/0Mi)
% 0.20/0.44 TRYING [1]
% 0.20/0.44 TRYING [1,1]
% 0.20/0.44 TRYING [1,1]
% 0.20/0.44 TRYING [2,2]
% 0.20/0.44 TRYING [2]
% 0.20/0.44 TRYING [2,2]
% 0.20/0.44 TRYING [1]
% 0.20/0.44 TRYING [2]
% 0.20/0.44 TRYING [3,2]
% 0.20/0.44 TRYING [3,2]
% 0.20/0.44 TRYING [3]
% 0.20/0.44 TRYING [3]
% 0.20/0.44 TRYING [4,2]
% 0.20/0.44 TRYING [4,2]
% 0.20/0.44 TRYING [4]
% 0.20/0.44 TRYING [3,3]
% 0.20/0.44 TRYING [3,3]
% 0.20/0.44 TRYING [4]
% 0.20/0.44 TRYING [5,2]
% 0.20/0.44 TRYING [5,2]
% 0.20/0.44 TRYING [4,3]
% 0.20/0.44 TRYING [4,3]
% 0.20/0.44 TRYING [5]
% 0.20/0.44 TRYING [5]
% 0.20/0.45 TRYING [6,2]
% 0.20/0.45 TRYING [6,2]
% 0.20/0.45 TRYING [5,3]
% 0.20/0.45 TRYING [5,3]
% 0.20/0.45 TRYING [6]
% 0.20/0.45 % (29339)First to succeed.
% 0.20/0.45 TRYING [4,4]
% 0.20/0.45 TRYING [4,4]
% 0.20/0.45 TRYING [6]
% 0.20/0.45 % (29339)Refutation found. Thanks to Tanya!
% 0.20/0.45 % SZS status Theorem for Vampire---4
% 0.20/0.45 % SZS output start Proof for Vampire---4
% See solution above
% 0.20/0.45 % (29339)------------------------------
% 0.20/0.45 % (29339)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 0.20/0.45 % (29339)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 0.20/0.45 % (29339)Termination reason: Refutation
% 0.20/0.45
% 0.20/0.45 % (29339)Memory used [KB]: 5628
% 0.20/0.45 % (29339)Time elapsed: 0.017 s
% 0.20/0.45 % (29339)------------------------------
% 0.20/0.45 % (29339)------------------------------
% 0.20/0.45 % (29330)Success in time 0.081 s
% 0.20/0.45 % Vampire---4.8 exiting
%------------------------------------------------------------------------------