%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO177+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 : n017.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 09:51:48 AM UTC 2026
% Result : Theorem 1.59s 1.31s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 12
% Syntax : Number of formulae : 76 ( 22 unt; 7 def)
% Number of atoms : 211 ( 0 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 212 ( 77 ~; 102 |; 18 &)
% ( 7 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 10 usr; 8 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 79 ( 0 sgn 71 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',apart1) ).
fof(f7,axiom,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> ( distinct_points(X2,X0)
& distinct_points(X2,X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con1) ).
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(f11,axiom,
! [X0,X1,X2] :
( apart_point_and_line(X0,X1)
=> ( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_points(X2,X3) )
=> ( ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2,X3] :
( ( distinct_points(X0,X1)
& distinct_points(X2,X3) )
=> ( ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
| apart_point_and_line(X3,line_connecting(X0,X1)) ) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f15,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
& distinct_points(X0,X1)
& distinct_points(X2,X3) ),
inference(ennf_transformation,[],[f14]) ).
fof(f16,plain,
? [X0,X1,X2,X3] :
( ~ apart_point_and_line(X2,line_connecting(X0,X1))
& ~ apart_point_and_line(X3,line_connecting(X0,X1))
& ( apart_point_and_line(X0,line_connecting(X2,X3))
| apart_point_and_line(X1,line_connecting(X2,X3)) )
& distinct_points(X0,X1)
& distinct_points(X2,X3) ),
inference(flattening,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f7]) ).
fof(f18,plain,
! [X0,X1,X2] :
( ( distinct_points(X2,X0)
& distinct_points(X2,X1) )
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(flattening,[],[f17]) ).
fof(f21,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(f22,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,[],[f21]) ).
fof(f25,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(ennf_transformation,[],[f11]) ).
fof(f26,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f25]) ).
fof(f34,plain,
( ~ apart_point_and_line(sK2,line_connecting(sK0,sK1))
& ~ apart_point_and_line(sK3,line_connecting(sK0,sK1))
& ( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,line_connecting(sK2,sK3)) )
& distinct_points(sK0,sK1)
& distinct_points(sK2,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(f35,plain,
distinct_points(sK2,sK3),
inference(cnf_transformation,[],[f34]) ).
fof(f36,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f37,plain,
( apart_point_and_line(sK0,line_connecting(sK2,sK3))
| apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
inference(cnf_transformation,[],[f34]) ).
fof(f38,plain,
~ apart_point_and_line(sK3,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f39,plain,
~ apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f40,plain,
! [X2,X0,X1] :
( distinct_points(X2,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f41,plain,
! [X2,X0,X1] :
( distinct_points(X2,X0)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| ~ distinct_points(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f43,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,[],[f22]) ).
fof(f45,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f46,plain,
! [X2,X0,X1] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f26]) ).
fof(f55,definition,
( spl4_1
<=> apart_point_and_line(sK1,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_1])],[avatar_definition]) ).
fof(f58,definition,
( spl4_2
<=> apart_point_and_line(sK0,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_2])],[avatar_definition]) ).
fof(f60,plain,
( spl4_1
| spl4_2 ),
inference(avatar_split_clause,[],[f37,f58,f55]) ).
fof(f67,plain,
! [X0,X1] :
( ~ distinct_points(X1,X0)
| ~ apart_point_and_line(X0,line_connecting(X1,X0)) ),
inference(resolution,[],[f40,f45]) ).
fof(f68,plain,
~ apart_point_and_line(sK3,line_connecting(sK2,sK3)),
inference(resolution,[],[f67,f35]) ).
fof(f69,plain,
~ apart_point_and_line(sK1,line_connecting(sK0,sK1)),
inference(resolution,[],[f67,f36]) ).
fof(f73,plain,
! [X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X0,line_connecting(X0,X1)) ),
inference(resolution,[],[f41,f45]) ).
fof(f77,plain,
~ apart_point_and_line(sK2,line_connecting(sK2,sK3)),
inference(resolution,[],[f73,f35]) ).
fof(f78,plain,
~ apart_point_and_line(sK0,line_connecting(sK0,sK1)),
inference(resolution,[],[f73,f36]) ).
fof(f84,plain,
! [X2,X3,X0,X1,X4] :
( ~ 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)
| apart_point_and_line(X4,X1)
| ~ apart_point_and_line(X4,X3) ),
inference(resolution,[],[f43,f46]) ).
fof(f107,plain,
! [X2,X0,X1] :
( apart_point_and_line(X2,X1)
| apart_point_and_line(sK3,X1)
| apart_point_and_line(sK2,X1)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,X0)
| ~ apart_point_and_line(X2,X0) ),
inference(resolution,[],[f84,f35]) ).
fof(f116,plain,
! [X0] :
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,X0)
| ~ apart_point_and_line(sK0,X0) ),
inference(resolution,[],[f107,f78]) ).
fof(f117,plain,
! [X0] :
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK3,X0)
| ~ apart_point_and_line(sK1,X0) ),
inference(resolution,[],[f107,f69]) ).
fof(f125,definition,
( spl4_3
<=> ! [X0] :
( apart_point_and_line(sK2,X0)
| ~ apart_point_and_line(sK0,X0)
| apart_point_and_line(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_3])],[avatar_definition]) ).
fof(f126,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| ~ apart_point_and_line(sK0,X0)
| apart_point_and_line(sK2,X0) )
| ~ spl4_3 ),
inference(avatar_component_clause,[],[f125]) ).
fof(f135,definition,
( spl4_6
<=> ! [X0] :
( apart_point_and_line(sK2,X0)
| ~ apart_point_and_line(sK1,X0)
| apart_point_and_line(sK3,X0) ) ),
introduced(definition,[new_symbols(definition,[spl4_6])],[avatar_definition]) ).
fof(f136,plain,
( ! [X0] :
( apart_point_and_line(sK3,X0)
| ~ apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0) )
| ~ spl4_6 ),
inference(avatar_component_clause,[],[f135]) ).
fof(f138,definition,
( spl4_7
<=> apart_point_and_line(sK2,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_7])],[avatar_definition]) ).
fof(f139,plain,
( apart_point_and_line(sK2,line_connecting(sK0,sK1))
| ~ spl4_7 ),
inference(avatar_component_clause,[],[f138]) ).
fof(f141,definition,
( spl4_8
<=> apart_point_and_line(sK3,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl4_8])],[avatar_definition]) ).
fof(f142,plain,
( apart_point_and_line(sK3,line_connecting(sK0,sK1))
| ~ spl4_8 ),
inference(avatar_component_clause,[],[f141]) ).
fof(f143,plain,
( spl4_6
| spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f117,f141,f138,f135]) ).
fof(f144,plain,
( spl4_3
| spl4_7
| spl4_8 ),
inference(avatar_split_clause,[],[f116,f141,f138,f125]) ).
fof(f146,plain,
( ~ apart_point_and_line(sK1,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_6 ),
inference(resolution,[],[f136,f68]) ).
fof(f148,definition,
( spl4_9
<=> apart_point_and_line(sK2,line_connecting(sK2,sK3)) ),
introduced(definition,[new_symbols(definition,[spl4_9])],[avatar_definition]) ).
fof(f149,plain,
( apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_9 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl4_9
| ~ spl4_1
| ~ spl4_6 ),
inference(avatar_split_clause,[],[f146,f135,f55,f148]) ).
fof(f154,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK3))
| apart_point_and_line(sK2,line_connecting(sK2,sK3))
| ~ spl4_3 ),
inference(resolution,[],[f126,f68]) ).
fof(f156,plain,
( spl4_9
| ~ spl4_2
| ~ spl4_3 ),
inference(avatar_split_clause,[],[f154,f125,f58,f148]) ).
fof(f157,plain,
( $false
| ~ spl4_7 ),
inference(resolution,[],[f139,f39]) ).
fof(f158,plain,
~ spl4_7,
inference(avatar_contradiction_clause,[],[f157]) ).
fof(f159,plain,
( $false
| ~ spl4_8 ),
inference(resolution,[],[f142,f38]) ).
fof(f160,plain,
~ spl4_8,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f161,plain,
( $false
| ~ spl4_9 ),
inference(resolution,[],[f149,f77]) ).
fof(f162,plain,
~ spl4_9,
inference(avatar_contradiction_clause,[],[f161]) ).
cnf(s1,plain,
( spl4_1
| spl4_2 ),
inference(sat_conversion,[],[f60]) ).
cnf(s3,plain,
( spl4_6
| spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f143]) ).
cnf(s4,plain,
( spl4_3
| spl4_7
| spl4_8 ),
inference(sat_conversion,[],[f144]) ).
cnf(s5,plain,
( ~ spl4_1
| ~ spl4_6
| spl4_9 ),
inference(sat_conversion,[],[f151]) ).
cnf(s6,plain,
( ~ spl4_2
| ~ spl4_3
| spl4_9 ),
inference(sat_conversion,[],[f156]) ).
cnf(s7,plain,
~ spl4_7,
inference(sat_conversion,[],[f158]) ).
cnf(s8,plain,
~ spl4_8,
inference(sat_conversion,[],[f160]) ).
cnf(s9,plain,
~ spl4_9,
inference(sat_conversion,[],[f162]) ).
cnf(s10,plain,
( ~ spl4_2
| ~ spl4_3 ),
inference(rat,[],[s6,s9]) ).
cnf(s11,plain,
( ~ spl4_1
| ~ spl4_6 ),
inference(rat,[],[s5,s9]) ).
cnf(s12,plain,
spl4_3,
inference(rat,[],[s4,s8,s7]) ).
cnf(s13,plain,
~ spl4_2,
inference(rat,[],[s10,s12]) ).
cnf(s14,plain,
spl4_6,
inference(rat,[],[s3,s8,s7]) ).
cnf(s15,plain,
~ spl4_1,
inference(rat,[],[s11,s14]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s1,s13,s15]) ).
fof(f163,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO177+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n017.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 07:20:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 1.59/1.31 % (2210528)Detected formulas, will run a generic FOF schedule.
% 1.59/1.31 % (2210538)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2070989395:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.59/1.31 % (2210533)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=2954054861:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.59/1.31 % (2210536)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1210800823:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.59/1.31 % (2210535)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=2858685466:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.59/1.31 % (2210534)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=915177920:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.59/1.31 % (2210537)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2637140265:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.59/1.31 % (2210538)Instruction limit reached!
% 1.59/1.31 % (2210538)------------------------------
% 1.59/1.31 % (2210538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.59/1.31 % (2210538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/1.31 % (2210538)CaDiCaL version: 2.1.3
% 1.59/1.31 % (2210538)Termination reason: Instruction limit
% 1.59/1.31 % (2210538)Termination phase: Saturation
% 1.59/1.31 % (2210538)Time elapsed: 0.047 s
% 1.59/1.31 % (2210538)Peak memory usage: 89 MB
% 1.59/1.31 % (2210538)Instructions burned: 139 (million)
% 1.59/1.31 % (2210539)dis-21_1_sil=8000:lcm=predicate:random_seed=2462129321: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)
% 1.59/1.31 % (2210539)First to succeed.
% 1.59/1.31 % (2210539)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2210528"
% 1.59/1.31 % (2210536)Instruction limit reached!
% 1.59/1.31 % (2210536)------------------------------
% 1.59/1.31 % (2210536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.59/1.31 % (2210536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/1.31 % (2210536)CaDiCaL version: 2.1.3
% 1.59/1.31 % (2210536)Termination reason: Instruction limit
% 1.59/1.31 % (2210536)Termination phase: Saturation
% 1.59/1.31 % (2210536)Time elapsed: 0.056 s
% 1.59/1.31 % (2210536)Peak memory usage: 88 MB
% 1.59/1.31 % (2210536)Instructions burned: 110 (million)
% 1.59/1.31 % (2210537)Instruction limit reached!
% 1.59/1.31 % (2210537)------------------------------
% 1.59/1.31 % (2210537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.59/1.31 % (2210537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.59/1.31 % (2210537)CaDiCaL version: 2.1.3
% 1.59/1.31 % (2210537)Termination reason: Instruction limit
% 1.59/1.31 % (2210537)Termination phase: Saturation
% 1.59/1.31 % (2210537)Time elapsed: 0.051 s
% 1.59/1.31 % (2210537)Peak memory usage: 87 MB
% 1.59/1.31 % (2210537)Instructions burned: 122 (million)
% 1.59/1.31 % (2210546)lrs+10_1_sil=8000:sp=occurrence:random_seed=4009738176:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.59/1.31 % (2210546)Also succeeded, but the first one will report.
% 1.59/1.31 % (2210548)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3629134703:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 1.59/1.31 % (2210549)lrs+1011_1_sil=32000:sp=occurrence:random_seed=4023491253:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 1.59/1.31 % (2210548)Also succeeded, but the first one will report.
% 1.59/1.31 % (2210549)Also succeeded, but the first one will report.
% 1.59/1.31 % (2210539)Refutation found. Thanks to Tanya!
% 1.59/1.31 % SZS status Theorem for theBenchmark
% 1.59/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/1.51 % (2210539)------------------------------
% 0.15/1.51 % (2210539)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.15/1.51 % (2210539)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/1.51 % (2210539)CaDiCaL version: 2.1.3
% 0.15/1.51 % (2210539)Termination reason: Refutation
% 0.15/1.51 % (2210539)Time elapsed: 0.005 s
% 0.15/1.51 % (2210539)Peak memory usage: 89 MB
% 0.15/1.51 % (2210539)Instructions burned: 5 (million)
% 0.15/1.51 % (2210539)------------------------------
% 0.15/1.51 % (2210539)------------------------------
% 0.15/1.51 % (2210528)Success in time 0.451 s
% 0.15/1.51 % Vampire exiting
%------------------------------------------------------------------------------