%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO222+1 : 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 : n018.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 09:54:07 AM UTC 2026
% Result : Theorem 0.33s 0.49s
% Output : Refutation 0.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 15
% Syntax : Number of formulae : 79 ( 22 unt; 4 def)
% Number of atoms : 184 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 168 ( 63 ~; 88 |; 7 &)
% ( 4 <=>; 6 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 9 ( 8 usr; 5 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 102 ( 0 sgn 100 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0] : ~ distinct_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart2) ).
fof(f3,axiom,
! [X0] : ~ convergent_lines(X0,X0),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).
fof(f6,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( convergent_lines(X0,X2)
| convergent_lines(X1,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ax6) ).
fof(f9,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci3) ).
fof(f10,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
=> ~ apart_point_and_line(intersection_point(X0,X1),X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ci4) ).
fof(f14,axiom,
! [X0,X1,X2] :
( convergent_lines(X0,X1)
=> ( distinct_lines(X1,X2)
| convergent_lines(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).
fof(f18,axiom,
! [X0,X1] :
( convergent_lines(X0,X1)
| unorthogonal_lines(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',occu1) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( convergent_lines(X0,X1)
& unorthogonal_lines(X0,X1) )
=> ( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',oac1) ).
fof(f20,axiom,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ooc1) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( distinct_lines(X1,X2)
=> ( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+3.ax',ouo1) ).
fof(f23,conjecture,
! [X0,X1] : ~ convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).
fof(f24,negated_conjecture,
~ ! [X0,X1] : ~ convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(negated_conjecture,[status(cth)],[f23]) ).
fof(f29,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f6]) ).
fof(f30,plain,
! [X0,X1,X2] :
( convergent_lines(X0,X2)
| convergent_lines(X1,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f29]) ).
fof(f33,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f10]) ).
fof(f41,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(ennf_transformation,[],[f14]) ).
fof(f42,plain,
! [X0,X1,X2] :
( distinct_lines(X1,X2)
| convergent_lines(X0,X2)
| ~ convergent_lines(X0,X1) ),
inference(flattening,[],[f41]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(ennf_transformation,[],[f19]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ( convergent_lines(X0,X2)
& unorthogonal_lines(X0,X2) )
| ( convergent_lines(X1,X2)
& unorthogonal_lines(X1,X2) )
| ~ convergent_lines(X0,X1)
| ~ unorthogonal_lines(X0,X1) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f48,plain,
! [X0,X1,X2,X3] :
( apart_point_and_line(X0,X1)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| ~ distinct_lines(X1,X2) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
? [X0,X1] : convergent_lines(X1,orthogonal_through_point(orthogonal_through_point(X1,X0),X0)),
inference(ennf_transformation,[],[f24]) ).
fof(f50,plain,
convergent_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1]),skolemize(X0,sK0),skolemize(X1,sK1)],[f49]) ).
fof(f52,plain,
! [X0] : ~ distinct_lines(X0,X0),
inference(cnf_transformation,[],[f2]) ).
fof(f53,plain,
! [X0] : ~ convergent_lines(X0,X0),
inference(cnf_transformation,[],[f3]) ).
fof(f56,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X1,X2)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f30]) ).
fof(f59,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X0)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f33]) ).
fof(f60,plain,
! [X0,X1] :
( ~ apart_point_and_line(intersection_point(X0,X1),X1)
| ~ convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f34]) ).
fof(f64,plain,
! [X2,X0,X1] :
( ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2)
| distinct_lines(X1,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f68,plain,
! [X0,X1] :
( unorthogonal_lines(X0,X1)
| convergent_lines(X0,X1) ),
inference(cnf_transformation,[],[f18]) ).
fof(f71,plain,
! [X2,X0,X1] :
( ~ unorthogonal_lines(X0,X1)
| unorthogonal_lines(X1,X2)
| ~ convergent_lines(X0,X1)
| convergent_lines(X0,X2) ),
inference(cnf_transformation,[],[f46]) ).
fof(f73,plain,
! [X0,X1] : ~ unorthogonal_lines(orthogonal_through_point(X1,X0),X1),
inference(cnf_transformation,[],[f20]) ).
fof(f75,plain,
! [X2,X3,X0,X1] :
( ~ distinct_lines(X1,X2)
| apart_point_and_line(X0,X2)
| unorthogonal_lines(X1,X3)
| unorthogonal_lines(X2,X3)
| apart_point_and_line(X0,X1) ),
inference(cnf_transformation,[],[f48]) ).
fof(f76,plain,
convergent_lines(sK1,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)),
inference(cnf_transformation,[],[f50]) ).
fof(f77,plain,
! [X0,X1] : convergent_lines(orthogonal_through_point(X0,X1),X0),
inference(resolution,[],[f68,f73]) ).
fof(f79,plain,
! [X2,X0,X1] :
( convergent_lines(orthogonal_through_point(X0,X2),X1)
| convergent_lines(X0,X1) ),
inference(resolution,[],[f56,f77]) ).
fof(f88,plain,
! [X0] :
( convergent_lines(sK1,X0)
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0) ),
inference(resolution,[],[f64,f76]) ).
fof(f93,plain,
distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),
inference(resolution,[],[f88,f53]) ).
fof(f95,plain,
! [X0,X1] :
( convergent_lines(X0,X1)
| convergent_lines(sK1,X1)
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0) ),
inference(resolution,[],[f88,f56]) ).
fof(f99,definition,
( spl2_1
<=> convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1) ),
introduced(definition,[new_symbols(definition,[spl2_1])],[avatar_definition]) ).
fof(f100,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1)
| spl2_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f101,plain,
( convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1)
| ~ spl2_1 ),
inference(avatar_component_clause,[],[f99]) ).
fof(f103,definition,
( spl2_2
<=> ! [X0] :
( apart_point_and_line(X0,sK1)
| apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)) ) ),
introduced(definition,[new_symbols(definition,[spl2_2])],[avatar_definition]) ).
fof(f104,plain,
( ! [X0] :
( apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0))
| apart_point_and_line(X0,sK1) )
| ~ spl2_2 ),
inference(avatar_component_clause,[],[f103]) ).
fof(f123,plain,
! [X0,X1] :
( apart_point_and_line(X0,sK1)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X1)
| unorthogonal_lines(sK1,X1)
| apart_point_and_line(X0,orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0)) ),
inference(resolution,[],[f75,f93]) ).
fof(f156,plain,
! [X0] :
( convergent_lines(X0,sK1)
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0) ),
inference(resolution,[],[f95,f53]) ).
fof(f164,plain,
! [X0,X1] : convergent_lines(X0,orthogonal_through_point(X0,X1)),
inference(resolution,[],[f79,f53]) ).
fof(f298,definition,
( spl2_9
<=> ! [X1] :
( unorthogonal_lines(sK1,X1)
| unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X1) ) ),
introduced(definition,[new_symbols(definition,[spl2_9])],[avatar_definition]) ).
fof(f299,plain,
( ! [X1] :
( unorthogonal_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X1)
| unorthogonal_lines(sK1,X1) )
| ~ spl2_9 ),
inference(avatar_component_clause,[],[f298]) ).
fof(f301,plain,
( spl2_9
| spl2_2 ),
inference(avatar_split_clause,[],[f123,f103,f298]) ).
fof(f542,plain,
( unorthogonal_lines(sK1,orthogonal_through_point(sK1,sK0))
| ~ spl2_9 ),
inference(resolution,[],[f299,f73]) ).
fof(f556,plain,
( ! [X0] :
( unorthogonal_lines(orthogonal_through_point(sK1,sK0),X0)
| ~ convergent_lines(sK1,orthogonal_through_point(sK1,sK0))
| convergent_lines(sK1,X0) )
| ~ spl2_9 ),
inference(resolution,[],[f542,f71]) ).
fof(f561,plain,
( ! [X0] :
( unorthogonal_lines(orthogonal_through_point(sK1,sK0),X0)
| convergent_lines(sK1,X0) )
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f556,f164]) ).
fof(f620,plain,
( convergent_lines(sK1,sK1)
| ~ spl2_9 ),
inference(resolution,[],[f561,f73]) ).
fof(f628,plain,
( $false
| ~ spl2_9 ),
inference(forward_subsumption_resolution,[],[f620,f53]) ).
fof(f629,plain,
~ spl2_9,
inference(avatar_contradiction_clause,[],[f628]) ).
fof(f633,plain,
( ! [X0] :
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0)
| apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),X0),sK1) )
| ~ spl2_2 ),
inference(resolution,[],[f104,f59]) ).
fof(f1474,plain,
( apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),sK1)
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0))
| ~ spl2_2 ),
inference(resolution,[],[f633,f156]) ).
fof(f1475,plain,
( apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),sK1)
| ~ spl2_2 ),
inference(forward_subsumption_resolution,[],[f1474,f52]) ).
fof(f1480,definition,
( spl2_36
<=> apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),sK1) ),
introduced(definition,[new_symbols(definition,[spl2_36])],[avatar_definition]) ).
fof(f1482,plain,
( apart_point_and_line(intersection_point(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1),sK1)
| ~ spl2_36 ),
inference(avatar_component_clause,[],[f1480]) ).
fof(f1514,plain,
( spl2_36
| ~ spl2_2 ),
inference(avatar_split_clause,[],[f1475,f103,f1480]) ).
fof(f1515,plain,
( ~ convergent_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),sK1)
| ~ spl2_36 ),
inference(resolution,[],[f1482,f60]) ).
fof(f1518,plain,
( $false
| ~ spl2_1
| ~ spl2_36 ),
inference(forward_subsumption_resolution,[],[f1515,f101]) ).
fof(f1519,plain,
( ~ spl2_1
| ~ spl2_36 ),
inference(avatar_contradiction_clause,[],[f1518]) ).
fof(f1564,plain,
( convergent_lines(sK1,sK1)
| distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0))
| spl2_1 ),
inference(resolution,[],[f100,f95]) ).
fof(f1599,plain,
( distinct_lines(orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0),orthogonal_through_point(orthogonal_through_point(sK1,sK0),sK0))
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f1564,f53]) ).
fof(f1628,plain,
( $false
| spl2_1 ),
inference(forward_subsumption_resolution,[],[f1599,f52]) ).
fof(f1629,plain,
spl2_1,
inference(avatar_contradiction_clause,[],[f1628]) ).
cnf(s10,plain,
( spl2_2
| spl2_9 ),
inference(sat_conversion,[],[f301]) ).
cnf(s16,plain,
~ spl2_9,
inference(sat_conversion,[],[f629]) ).
cnf(s66,plain,
( ~ spl2_2
| spl2_36 ),
inference(sat_conversion,[],[f1514]) ).
cnf(s71,plain,
( ~ spl2_1
| ~ spl2_36 ),
inference(sat_conversion,[],[f1519]) ).
cnf(s102,plain,
spl2_1,
inference(sat_conversion,[],[f1629]) ).
cnf(s104,plain,
~ spl2_36,
inference(rat,[],[s71,s102]) ).
cnf(s105,plain,
~ spl2_2,
inference(rat,[],[s66,s104]) ).
cnf(s106,plain,
$false,
inference(rat,[],[s10,s16,s105]) ).
fof(f1631,plain,
$false,
inference(avatar_sat_refutation,[],[s106]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO222+1 : TPTP v9.3.1. Released v3.3.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n018.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 07:45:23 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.40 Running first-order model finding
% 0.11/0.40 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
% 0.33/0.49 % (1996578)Will run a generic schedule for satisfiability detection.
% 0.33/0.49 % (1996586)dis+10_1_sil=32000:sp=arity:random_seed=3093900015:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.33/0.49 % (1996584)% WARNING: option uhcvi not known.
% 0.33/0.49 % (1996583)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2512715040_2999 on theBenchmark for (2999ds/0Mi)
% 0.33/0.49 % (1996585)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=580288698:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.33/0.49 % (1996589)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2447726402:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.33/0.49 % (1996587)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1633301836:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.33/0.49 % (1996588)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2740403157:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.33/0.49 % (1996584)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1578713614:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.33/0.49 % TRYING [1]
% 0.33/0.49 % TRYING [2]
% 0.33/0.49 % TRYING [3]
% 0.33/0.49 % TRYING [4]
% 0.33/0.49 % TRYING [5]
% 0.33/0.49 % TRYING [6]
% 0.33/0.49 % TRYING [7]
% 0.33/0.49 % (1996586)Instruction limit reached!
% 0.33/0.49 % (1996586)------------------------------
% 0.33/0.49 % (1996586)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.49 % (1996586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.49 % (1996586)CaDiCaL version: 2.1.3
% 0.33/0.49 % (1996586)Termination reason: Instruction limit
% 0.33/0.49 % (1996586)Termination phase: Saturation
% 0.33/0.49 % (1996586)Time elapsed: 0.030 s
% 0.33/0.49 % (1996586)Peak memory usage: 12 MB
% 0.33/0.49 % (1996586)Instructions burned: 104 (million)
% 0.33/0.49 % (1996597)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3890623211:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.33/0.49 % TRYING [1]
% 0.33/0.49 % TRYING [2]
% 0.33/0.49 % TRYING [3]
% 0.33/0.49 % TRYING [4]
% 0.33/0.49 % TRYING [8]
% 0.33/0.49 % TRYING [5]
% 0.33/0.49 % (1996588) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1996578-1996588"...
% 0.33/0.49 % TRYING [6]
% 0.33/0.49 % (1996588)...printing done.
% 0.33/0.49 % (1996588)Refutation found. Thanks to Tanya!
% 0.33/0.49 % SZS status Theorem for theBenchmark
% 0.33/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.33/0.49 % (1996588)------------------------------
% 0.33/0.49 % (1996588)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.33/0.49 % (1996588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.33/0.49 % (1996588)CaDiCaL version: 2.1.3
% 0.33/0.49 % (1996588)Termination reason: Refutation
% 0.33/0.49 % (1996588)Time elapsed: 0.039 s
% 0.33/0.49 % (1996588)Peak memory usage: 13 MB
% 0.33/0.49 % (1996588)Instructions burned: 61 (million)
% 0.33/0.49 % (1996578)Success in time 0.077 s
% 0.33/0.49 % Vampire exiting
%------------------------------------------------------------------------------