%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO180+2 : TPTP v9.3.1. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 09:53:50 AM UTC 2026
% Result : Theorem 0.16s 0.54s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 9
% Syntax : Number of formulae : 63 ( 14 unt; 3 def)
% Number of atoms : 167 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 155 ( 51 ~; 82 |; 10 &)
% ( 3 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 83 ( 0 sgn 77 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : ~ distinct_points(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',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/sandbox2/benchmark/Axioms/GEO008+0.ax',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/sandbox2/benchmark/Axioms/GEO008+0.ax',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/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq1) ).
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/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).
fof(f13,conjecture,
! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f14,negated_conjecture,
~ ! [X0,X1,X2] :
( distinct_points(X0,X1)
=> ( apart_point_and_line(X2,line_connecting(X0,X1))
=> apart_point_and_line(X0,line_connecting(X2,X1)) ) ),
inference(negated_conjecture,[status(cth)],[f13]) ).
fof(f21,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(f22,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,[],[f21]) ).
fof(f25,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(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(flattening,[],[f25]) ).
fof(f27,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(f28,plain,
! [X0,X1,X2] :
( distinct_points(X0,X2)
| apart_point_and_line(X2,X1)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f27]) ).
fof(f29,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(f30,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| ~ apart_point_and_line(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f32,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f33,plain,
? [X0,X1,X2] :
( ~ apart_point_and_line(X0,line_connecting(X2,X1))
& apart_point_and_line(X2,line_connecting(X0,X1))
& distinct_points(X0,X1) ),
inference(flattening,[],[f32]) ).
fof(f34,plain,
( ~ apart_point_and_line(sK0,line_connecting(sK2,sK1))
& apart_point_and_line(sK2,line_connecting(sK0,sK1))
& distinct_points(sK0,sK1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f33]) ).
fof(f35,plain,
! [X0] : ~ distinct_points(X0,X0),
inference(cnf_transformation,[],[f1]) ).
fof(f41,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f42,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X1)
| ~ apart_point_and_line(X2,line_connecting(X0,X1))
| distinct_points(X2,X0) ),
inference(cnf_transformation,[],[f22]) ).
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,[],[f26]) ).
fof(f46,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X2,X1)
| distinct_points(X0,X2) ),
inference(cnf_transformation,[],[f28]) ).
fof(f47,plain,
! [X2,X0,X1] :
( ~ apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f49,plain,
distinct_points(sK0,sK1),
inference(cnf_transformation,[],[f34]) ).
fof(f50,plain,
apart_point_and_line(sK2,line_connecting(sK0,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f51,plain,
~ apart_point_and_line(sK0,line_connecting(sK2,sK1)),
inference(cnf_transformation,[],[f34]) ).
fof(f61,plain,
! [X0] :
( apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(sK2,X0) ),
inference(resolution,[],[f46,f50]) ).
fof(f65,plain,
! [X0] :
( distinct_lines(line_connecting(sK0,sK1),X0)
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f47,f50]) ).
fof(f68,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK1) ),
inference(resolution,[],[f41,f49]) ).
fof(f77,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK0,sK1))
| distinct_points(X0,sK0) ),
inference(resolution,[],[f42,f49]) ).
fof(f84,plain,
distinct_points(sK2,sK1),
inference(resolution,[],[f68,f50]) ).
fof(f85,plain,
! [X0] :
( distinct_points(X0,sK1)
| distinct_points(sK2,X0) ),
inference(resolution,[],[f68,f61]) ).
fof(f86,plain,
! [X2,X0,X1] :
( ~ distinct_points(X0,X2)
| apart_point_and_line(X2,line_connecting(sK0,sK1))
| apart_point_and_line(X2,X1)
| apart_point_and_line(X0,X1)
| apart_point_and_line(X0,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X1) ),
inference(resolution,[],[f45,f65]) ).
fof(f87,plain,
! [X0] :
( ~ apart_point_and_line(X0,line_connecting(sK2,sK1))
| distinct_points(X0,sK2) ),
inference(resolution,[],[f84,f42]) ).
fof(f96,plain,
! [X0,X1] :
( ~ apart_point_and_line(X1,line_connecting(X0,sK1))
| distinct_points(sK2,X0)
| distinct_points(X1,sK1) ),
inference(resolution,[],[f85,f41]) ).
fof(f174,plain,
! [X0] :
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0)
| apart_point_and_line(sK0,line_connecting(sK0,sK1))
| apart_point_and_line(sK2,X0) ),
inference(resolution,[],[f86,f49]) ).
fof(f199,definition,
( spl3_3
<=> apart_point_and_line(sK1,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_3])],[avatar_definition]) ).
fof(f201,plain,
( apart_point_and_line(sK1,line_connecting(sK0,sK1))
| ~ spl3_3 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f211,definition,
( spl3_6
<=> apart_point_and_line(sK0,line_connecting(sK0,sK1)) ),
introduced(definition,[new_symbols(definition,[spl3_6])],[avatar_definition]) ).
fof(f213,plain,
( apart_point_and_line(sK0,line_connecting(sK0,sK1))
| ~ spl3_6 ),
inference(avatar_component_clause,[],[f211]) ).
fof(f220,definition,
( spl3_8
<=> ! [X0] :
( apart_point_and_line(sK1,X0)
| apart_point_and_line(sK2,X0)
| apart_point_and_line(sK0,X0) ) ),
introduced(definition,[new_symbols(definition,[spl3_8])],[avatar_definition]) ).
fof(f221,plain,
( ! [X0] :
( apart_point_and_line(sK2,X0)
| apart_point_and_line(sK1,X0)
| apart_point_and_line(sK0,X0) )
| ~ spl3_8 ),
inference(avatar_component_clause,[],[f220]) ).
fof(f222,plain,
( spl3_6
| spl3_8
| spl3_3 ),
inference(avatar_split_clause,[],[f174,f199,f220,f211]) ).
fof(f232,plain,
( distinct_points(sK1,sK1)
| ~ spl3_3 ),
inference(resolution,[],[f201,f68]) ).
fof(f235,plain,
( $false
| ~ spl3_3 ),
inference(forward_subsumption_resolution,[],[f232,f35]) ).
fof(f236,plain,
~ spl3_3,
inference(avatar_contradiction_clause,[],[f235]) ).
fof(f239,plain,
( distinct_points(sK0,sK0)
| ~ spl3_6 ),
inference(resolution,[],[f213,f77]) ).
fof(f243,plain,
( $false
| ~ spl3_6 ),
inference(forward_subsumption_resolution,[],[f239,f35]) ).
fof(f244,plain,
~ spl3_6,
inference(avatar_contradiction_clause,[],[f243]) ).
fof(f431,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| apart_point_and_line(sK0,line_connecting(sK2,sK1))
| distinct_points(sK2,sK2)
| ~ spl3_8 ),
inference(resolution,[],[f221,f87]) ).
fof(f435,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| distinct_points(sK2,sK2)
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f431,f51]) ).
fof(f446,plain,
( apart_point_and_line(sK1,line_connecting(sK2,sK1))
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f435,f35]) ).
fof(f483,plain,
( distinct_points(sK2,sK2)
| distinct_points(sK1,sK1)
| ~ spl3_8 ),
inference(resolution,[],[f446,f96]) ).
fof(f487,plain,
( distinct_points(sK2,sK2)
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f483,f35]) ).
fof(f490,plain,
( $false
| ~ spl3_8 ),
inference(forward_subsumption_resolution,[],[f487,f35]) ).
fof(f491,plain,
~ spl3_8,
inference(avatar_contradiction_clause,[],[f490]) ).
cnf(s5,plain,
( spl3_3
| spl3_6
| spl3_8 ),
inference(sat_conversion,[],[f222]) ).
cnf(s8,plain,
~ spl3_3,
inference(sat_conversion,[],[f236]) ).
cnf(s9,plain,
~ spl3_6,
inference(sat_conversion,[],[f244]) ).
cnf(s16,plain,
~ spl3_8,
inference(sat_conversion,[],[f491]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s5,s16,s9,s8]) ).
fof(f492,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO180+2 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.37 % Computer : n016.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 07:30:16 UTC 2026
% 0.12/0.37 % CPUTime :
% 0.12/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.41 Running first-order model finding
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.54 % (2292369)Will run a generic schedule for satisfiability detection.
% 0.16/0.54 % (2292380)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3386798265:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.54 % (2292375)% WARNING: option uhcvi not known.
% 0.16/0.54 % (2292377)dis+10_1_sil=32000:sp=arity:random_seed=1795574556:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.54 % (2292374)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=858524867_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.54 % (2292375)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1892725590:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.54 % (2292376)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3520431634:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.54 % (2292378)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2400663599:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.54 % (2292379)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4280834210:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.54 % TRYING [1]
% 0.16/0.54 % TRYING [2]
% 0.16/0.54 % TRYING [3]
% 0.16/0.54 % TRYING [4]
% 0.16/0.54 % TRYING [5]
% 0.16/0.54 % TRYING [6]
% 0.16/0.54 % TRYING [7]
% 0.16/0.54 % TRYING [8]
% 0.16/0.54 % TRYING [9]
% 0.16/0.54 % TRYING [10]
% 0.16/0.54 % TRYING [11]
% 0.16/0.54 % (2292380)Instruction limit reached!
% 0.16/0.54 % (2292380)------------------------------
% 0.16/0.54 % (2292380)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (2292380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (2292380)CaDiCaL version: 2.1.3
% 0.16/0.54 % (2292380)Termination reason: Instruction limit
% 0.16/0.54 % (2292380)Termination phase: Saturation
% 0.16/0.54 % (2292380)Time elapsed: 0.032 s
% 0.16/0.54 % (2292380)Peak memory usage: 12 MB
% 0.16/0.54 % (2292380)Instructions burned: 160 (million)
% 0.16/0.54 % TRYING [12]
% 0.16/0.54 % TRYING [13]
% 0.16/0.54 % (2292388)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3119295664:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.16/0.54 % TRYING [1]
% 0.16/0.54 % TRYING [2]
% 0.16/0.54 % TRYING [3]
% 0.16/0.54 % TRYING [4]
% 0.16/0.54 % TRYING [5]
% 0.16/0.54 % TRYING [14]
% 0.16/0.54 % TRYING [6]
% 0.16/0.54 % TRYING [7]
% 0.16/0.54 % TRYING [15]
% 0.16/0.54 % TRYING [8]
% 0.16/0.54 % TRYING [16]
% 0.16/0.54 % (2292378)Instruction limit reached!
% 0.16/0.54 % (2292378)------------------------------
% 0.16/0.54 % (2292378)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (2292378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (2292378)CaDiCaL version: 2.1.3
% 0.16/0.54 % (2292378)Termination reason: Instruction limit
% 0.16/0.54 % (2292378)Termination phase: Saturation
% 0.16/0.54 % (2292378)Time elapsed: 0.057 s
% 0.16/0.54 % (2292378)Peak memory usage: 11 MB
% 0.16/0.54 % (2292378)Instructions burned: 116 (million)
% 0.16/0.54 % (2292377)Instruction limit reached!
% 0.16/0.54 % (2292377)------------------------------
% 0.16/0.54 % (2292377)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (2292377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % TRYING [9]
% 0.16/0.54 % (2292377)CaDiCaL version: 2.1.3
% 0.16/0.54 % (2292377)Termination reason: Instruction limit
% 0.16/0.54 % (2292377)Termination phase: Saturation
% 0.16/0.54 % (2292377)Time elapsed: 0.058 s
% 0.16/0.54 % (2292377)Peak memory usage: 11 MB
% 0.16/0.54 % (2292377)Instructions burned: 105 (million)
% 0.16/0.54 % TRYING [17]
% 0.16/0.54 % TRYING [10]
% 0.16/0.54 % (2292379)Instruction limit reached!
% 0.16/0.54 % (2292379)------------------------------
% 0.16/0.54 % (2292379)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.54 % (2292379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.54 % (2292379)CaDiCaL version: 2.1.3
% 0.16/0.54 % (2292379)Termination reason: Instruction limit
% 0.16/0.54 % (2292379)Termination phase: Saturation
% 0.16/0.54 % (2292379)Time elapsed: 0.071 s
% 0.16/0.54 % (2292379)Peak memory usage: 11 MB
% 0.16/0.54 % (2292379)Instructions burned: 131 (million)
% 0.16/0.54 % (2292391)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=896175304:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2999 on theBenchmark for (2999ds/684Mi)
% 0.16/0.54 % (2292390)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=4239864707:i=131:bd=preordered:fsd=on_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.54 % TRYING [18]
% 0.16/0.54 % (2292390) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2292369-2292390"...
% 0.16/0.54 % TRYING [11]
% 0.16/0.54 % (2292390)...printing done.
% 0.16/0.54 % (2292392)ott-21_1_sil=16000:fs=off:random_seed=3426412384:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.16/0.54 % (2292390)Refutation found. Thanks to Tanya!
% 0.16/0.54 % SZS status Theorem for theBenchmark
% 0.16/0.54 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.55 % (2292390)------------------------------
% 0.16/0.55 % (2292390)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.55 % (2292390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.55 % (2292390)CaDiCaL version: 2.1.3
% 0.16/0.55 % (2292390)Termination reason: Refutation
% 0.16/0.55 % (2292390)Time elapsed: 0.012 s
% 0.16/0.55 % (2292390)Peak memory usage: 12 MB
% 0.16/0.55 % (2292390)Instructions burned: 17 (million)
% 0.16/0.55 % (2292369)Success in time 0.131 s
% 0.16/0.55 % Vampire exiting
%------------------------------------------------------------------------------