%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO196+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n008.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:51:56 AM UTC 2026
% Result : Theorem 2.73s 1.29s
% Output : Refutation 3.60s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 13
% Syntax : Number of formulae : 80 ( 22 unt; 7 def)
% Number of atoms : 223 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 234 ( 91 ~; 106 |; 23 &)
% ( 7 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 12 ( 11 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 89 ( 0 sgn 81 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f8,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( ( apart_point_and_line(X2,X0)
| apart_point_and_line(X2,X1) )
=> distinct_points(X2,intersection_point(X0,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con2) ).
fof(f9,axiom,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_lines(X2,X3) )
=> ( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cu1) ).
fof(f10,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_points(X0,X2)
| apart_point_and_line(X2,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq1) ).
fof(f12,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> distinct_lines(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq3) ).
fof(f13,conjecture,
! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3) )
=> ( ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ~ apart_point_and_line(intersection_point(X2,X3),X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3) )
=> ( ~ apart_point_and_line(intersection_point(X2,X3),X0)
& ~ apart_point_and_line(intersection_point(X2,X3),X1) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X0)
| apart_point_and_line(intersection_point(X2,X3),X1) )
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f16,plain,
? [X0,X1,X2,X3] :
( ( apart_point_and_line(intersection_point(X2,X3),X0)
| apart_point_and_line(intersection_point(X2,X3),X1) )
& convergent_lines(X0,X1)
& convergent_lines(X2,X3)
& ~ apart_point_and_line(intersection_point(X0,X1),X2)
& ~ apart_point_and_line(intersection_point(X0,X1),X3) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f8]) ).
fof(f18,plain,
! [X0,X1,X2] :
( distinct_points(X2,intersection_point(X0,X1))
| ( ~ apart_point_and_line(X2,X0)
& ~ apart_point_and_line(X2,X1) )
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f19,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f12]) ).
fof(f24,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f24]) ).
fof(f26,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(ennf_transformation,[],[f9]) ).
fof(f27,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| ~ distinct_lines(X2,X3) ),
inference(flattening,[],[f26]) ).
fof(f32,plain,
( ( apart_point_and_line(intersection_point(sK2,sK3),sK0)
| apart_point_and_line(intersection_point(sK2,sK3),sK1) )
& convergent_lines(sK0,sK1)
& convergent_lines(sK2,sK3)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK2)
& ~ apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2,sK3]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2),skolemize(X3,sK3)],[f16]) ).
fof(f33,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f34,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK2),
inference(cnf_transformation,[],[f32]) ).
fof(f35,plain,
convergent_lines(sK2,sK3),
inference(cnf_transformation,[],[f32]) ).
fof(f36,plain,
convergent_lines(sK0,sK1),
inference(cnf_transformation,[],[f32]) ).
fof(f37,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK0)
| apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
inference(cnf_transformation,[],[f32]) ).
fof(f38,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f39,plain,
! [X2,X0,X1] :
( distinct_points(X2,intersection_point(X0,X1))
| ~ apart_point_and_line(X2,X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f40,plain,
! [X0,X1] :
( distinct_lines(X0,X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f19]) ).
fof(f44,plain,
! [X2,X0,X1] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f25]) ).
fof(f45,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X2,X3)
| apart_point_and_line(X0,X3)
| apart_point_and_line(X1,X2)
| apart_point_and_line(X1,X3)
| ~ distinct_points(X0,X1)
| apart_point_and_line(X0,X2) ),
inference(cnf_transformation,[],[f27]) ).
fof(f47,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f51,definition,
( spl4_1
<=> apart_point_and_line(intersection_point(sK2,sK3),sK1) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f54,definition,
( spl4_2
<=> apart_point_and_line(intersection_point(sK2,sK3),sK0) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f56,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f37,f54,f51]) ).
fof(f63,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
inference(resolution,[],[f38,f47]) ).
fof(f64,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK3),
inference(resolution,[],[f63,f35]) ).
fof(f65,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK1),
inference(resolution,[],[f63,f36]) ).
fof(f67,plain,
! [X0,X1] :
( ~ convergent_lines(X0,X1)
| ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
inference(resolution,[],[f39,f47]) ).
fof(f70,plain,
! [X2,X3,X0,X1] :
( ~ distinct_points(X0,X2)
| apart_point_and_line(X2,X3)
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X3)
| ~ convergent_lines(X3,X1) ),
inference(resolution,[],[f45,f40]) ).
fof(f71,plain,
~ apart_point_and_line(intersection_point(sK2,sK3),sK2),
inference(resolution,[],[f67,f35]) ).
fof(f72,plain,
~ apart_point_and_line(intersection_point(sK0,sK1),sK0),
inference(resolution,[],[f67,f36]) ).
fof(f75,plain,
! [X2,X3,X0,X1,X4] :
( ~ convergent_lines(X1,X2)
| apart_point_and_line(X0,X2)
| apart_point_and_line(X3,X2)
| apart_point_and_line(X3,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X4)
| ~ apart_point_and_line(X3,X4) ),
inference(resolution,[],[f70,f44]) ).
fof(f98,plain,
! [X2,X0,X1] :
( apart_point_and_line(X0,X2)
| apart_point_and_line(X1,sK3)
| apart_point_and_line(X1,sK2)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(X0,sK3)
| ~ apart_point_and_line(X1,X2) ),
inference(resolution,[],[f75,f35]) ).
fof(f103,plain,
! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ apart_point_and_line(X0,sK0) ),
inference(resolution,[],[f98,f72]) ).
fof(f104,plain,
! [X0] :
( apart_point_and_line(X0,sK3)
| apart_point_and_line(X0,sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK2)
| apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ apart_point_and_line(X0,sK1) ),
inference(resolution,[],[f98,f65]) ).
fof(f118,definition,
( spl4_5
<=> ! [X0] :
( apart_point_and_line(X0,sK3)
| ~ apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl4_5])],[avatar_definition]) ).
fof(f119,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| ~ apart_point_and_line(X0,sK0)
| apart_point_and_line(X0,sK2) )
| ~ spl4_5 ),
inference(avatar_component_clause,[],[f118]) ).
fof(f122,definition,
( spl4_6
<=> apart_point_and_line(intersection_point(sK0,sK1),sK3) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f123,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK3)
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f122]) ).
fof(f125,definition,
( spl4_7
<=> apart_point_and_line(intersection_point(sK0,sK1),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f126,plain,
( apart_point_and_line(intersection_point(sK0,sK1),sK2)
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f128,definition,
( spl4_8
<=> ! [X0] :
( apart_point_and_line(X0,sK3)
| ~ apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK2) ) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f129,plain,
( ! [X0] :
( apart_point_and_line(X0,sK3)
| ~ apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,sK2) )
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f128]) ).
fof(f130,plain,
( spl4_6
| spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f104,f128,f125,f122]) ).
fof(f131,plain,
( spl4_6
| spl4_7
| spl4_5 ),
inference(avatar_split_clause,[],[f103,f118,f125,f122]) ).
fof(f135,plain,
( $false
| ~ spl4_6 ),
inference(resolution,[],[f123,f33]) ).
fof(f136,plain,
~ spl4_6,
inference(avatar_contradiction_clause,[],[f135]) ).
fof(f137,plain,
( $false
| ~ spl4_7 ),
inference(resolution,[],[f126,f34]) ).
fof(f138,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f137]) ).
fof(f140,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK1)
| apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ spl4_8 ),
inference(resolution,[],[f129,f64]) ).
fof(f142,definition,
( spl4_9
<=> apart_point_and_line(intersection_point(sK2,sK3),sK2) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f143,plain,
( apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f142]) ).
fof(f145,plain,
( spl4_9
| ~ spl4_1
| ~ spl4_8 ),
inference(avatar_split_clause,[],[f140,f128,f51,f142]) ).
fof(f148,plain,
( ~ apart_point_and_line(intersection_point(sK2,sK3),sK0)
| apart_point_and_line(intersection_point(sK2,sK3),sK2)
| ~ spl4_5 ),
inference(resolution,[],[f119,f64]) ).
fof(f150,plain,
( spl4_9
| ~ spl4_2
| ~ spl4_5 ),
inference(avatar_split_clause,[],[f148,f118,f54,f142]) ).
fof(f151,plain,
( $false
| ~ spl4_9 ),
inference(resolution,[],[f143,f71]) ).
fof(f152,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f151]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f56]) ).
cnf(s3,plain,
( spl4_6
| spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f130]) ).
cnf(s4,plain,
( spl4_5
| spl4_6
| spl4_7 ),
inference(sat_conversion,[],[f131]) ).
cnf(s5,plain,
~ spl4_6,
inference(sat_conversion,[],[f136]) ).
cnf(s6,plain,
~ spl4_7,
inference(sat_conversion,[],[f138]) ).
cnf(s7,plain,
( ~ spl4_1
| ~ spl4_8
| spl4_9 ),
inference(sat_conversion,[],[f145]) ).
cnf(s8,plain,
( ~ spl4_2
| ~ spl4_5
| spl4_9 ),
inference(sat_conversion,[],[f150]) ).
cnf(s9,plain,
~ spl4_9,
inference(sat_conversion,[],[f152]) ).
cnf(s10,plain,
( ~ spl4_2
| ~ spl4_5 ),
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
( ~ spl4_1
| ~ spl4_8 ),
inference(rat,[],[s7,s9]) ).
cnf(s12,plain,
spl4_5,
inference(rat,[],[s4,s6,s5]) ).
cnf(s13,plain,
~ spl4_2,
inference(rat,[],[s10,s12]) ).
cnf(s14,plain,
spl4_8,
inference(rat,[],[s3,s6,s5]) ).
cnf(s15,plain,
~ spl4_1,
inference(rat,[],[s11,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s13,s15]) ).
fof(f153,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO196+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n008.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 07:33:42 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.73/1.29 % (892478)Detected formulas, will run a generic FOF schedule.
% 2.73/1.29 % (892484)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=2210657523:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.73/1.29 % (892489)dis-21_1_sil=8000:lcm=predicate:random_seed=3624447839:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.73/1.29 % (892487)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3626614384:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.73/1.29 % (892483)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3301215308:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.73/1.29 % (892488)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4234303194:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.73/1.29 % (892485)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=466428482:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.73/1.29 % (892486)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1753279438:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.73/1.29 % (892486)Refutation not found, incomplete strategy
% 2.73/1.29 % (892486)------------------------------
% 2.73/1.29 % (892486)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29 % (892486)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29 % (892486)CaDiCaL version: 2.1.3
% 2.73/1.29 % (892486)Termination reason: Refutation not found, incomplete strategy
% 2.73/1.29 % (892486)Time elapsed: 0.001 s
% 2.73/1.29 % (892486)Peak memory usage: 87 MB
% 2.73/1.29 % (892489)First to succeed.
% 2.73/1.29 % (892489)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-892478"
% 2.73/1.29 % (892488)Also succeeded, but the first one will report.
% 2.73/1.29 % (892487)Instruction limit reached!
% 2.73/1.29 % (892487)------------------------------
% 2.73/1.29 % (892487)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.73/1.29 % (892487)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.73/1.29 % (892487)CaDiCaL version: 2.1.3
% 2.73/1.29 % (892487)Termination reason: Instruction limit
% 2.73/1.29 % (892487)Termination phase: Saturation
% 2.73/1.29 % (892487)Time elapsed: 0.068 s
% 2.73/1.29 % (892487)Peak memory usage: 87 MB
% 2.73/1.29 % (892487)Instructions burned: 120 (million)
% 2.73/1.29 % (892497)lrs+10_1_sil=8000:sp=occurrence:random_seed=848514227:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.73/1.29 % (892486)------------------------------
% 2.73/1.29 % (892486)------------------------------
% 2.73/1.29 % (892489)Refutation found. Thanks to Tanya!
% 2.73/1.29 % SZS status Theorem for theBenchmark
% 2.73/1.29 % SZS output start Proof for theBenchmark
% See solution above
% 3.60/1.49 % (892489)------------------------------
% 3.60/1.49 % (892489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.60/1.49 % (892489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.60/1.49 % (892489)CaDiCaL version: 2.1.3
% 3.60/1.49 % (892489)Termination reason: Refutation
% 3.60/1.49 % (892489)Time elapsed: 0.005 s
% 3.60/1.49 % (892489)Peak memory usage: 89 MB
% 3.60/1.49 % (892489)Instructions burned: 6 (million)
% 3.60/1.49 % (892489)------------------------------
% 3.60/1.49 % (892489)------------------------------
% 3.60/1.49 % (892478)Success in time 0.429 s
% 3.60/1.49 % Vampire exiting
%------------------------------------------------------------------------------