%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 09:53:14 AM UTC 2026
% Result : Unsatisfiable 0.15s 0.48s
% Output : Refutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 33 ( 11 unt; 2 def)
% Number of atoms : 60 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 52 ( 25 ~; 25 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 5 con; 0-0 aty)
% Number of variables : 20 ( 0 sgn 20 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f54,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f64,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b8) ).
fof(f65,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X0,X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b9) ).
fof(f89,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
fof(f91,axiom,
between(a,c,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',c_between_a_and_e) ).
fof(f92,axiom,
between(a,d,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d_between_a_and_e) ).
fof(f93,axiom,
between(c,b,d),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_between_c_and_d) ).
fof(f94,negated_conjecture,
~ between(a,b,e),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_betweenness) ).
fof(f118,plain,
between(d,b,c),
inference(resolution,[],[f54,f93]) ).
fof(f338,plain,
! [X0] :
( ~ between(X0,c,d)
| between(X0,b,d) ),
inference(resolution,[],[f64,f93]) ).
fof(f341,plain,
! [X0] :
( ~ between(X0,d,c)
| between(X0,b,c) ),
inference(resolution,[],[f64,f118]) ).
fof(f346,plain,
! [X0] :
( ~ between(a,X0,c)
| between(a,X0,e) ),
inference(resolution,[],[f65,f91]) ).
fof(f347,plain,
! [X0] :
( ~ between(a,X0,d)
| between(a,X0,e) ),
inference(resolution,[],[f65,f92]) ).
fof(f646,plain,
! [X0] :
( ~ between(a,X0,e)
| between(a,X0,d)
| between(a,d,X0) ),
inference(resolution,[],[f89,f92]) ).
fof(f1544,definition,
( spl0_44
<=> between(a,c,d) ),
introduced(definition,[new_symbols(definition,[spl0_44])],[avatar_definition]) ).
fof(f1546,plain,
( between(a,c,d)
| ~ spl0_44 ),
inference(avatar_component_clause,[],[f1544]) ).
fof(f1548,definition,
( spl0_45
<=> between(a,d,c) ),
introduced(definition,[new_symbols(definition,[spl0_45])],[avatar_definition]) ).
fof(f1550,plain,
( between(a,d,c)
| ~ spl0_45 ),
inference(avatar_component_clause,[],[f1548]) ).
fof(f1554,plain,
( between(a,b,c)
| ~ spl0_45 ),
inference(resolution,[],[f1550,f341]) ).
fof(f1585,plain,
( between(a,c,d)
| between(a,d,c) ),
inference(resolution,[],[f646,f91]) ).
fof(f1698,plain,
( spl0_45
| spl0_44 ),
inference(avatar_split_clause,[],[f1585,f1544,f1548]) ).
fof(f1724,plain,
( between(a,b,d)
| ~ spl0_44 ),
inference(resolution,[],[f1546,f338]) ).
fof(f1803,plain,
( between(a,b,e)
| ~ spl0_44 ),
inference(resolution,[],[f1724,f347]) ).
fof(f1852,plain,
( $false
| ~ spl0_44 ),
inference(forward_subsumption_resolution,[],[f1803,f94]) ).
fof(f1853,plain,
~ spl0_44,
inference(avatar_contradiction_clause,[],[f1852]) ).
fof(f1933,plain,
( between(a,b,e)
| ~ spl0_45 ),
inference(resolution,[],[f1554,f346]) ).
fof(f1978,plain,
( $false
| ~ spl0_45 ),
inference(forward_subsumption_resolution,[],[f1933,f94]) ).
fof(f1979,plain,
~ spl0_45,
inference(avatar_contradiction_clause,[],[f1978]) ).
cnf(s71,plain,
( spl0_44
| spl0_45 ),
inference(sat_conversion,[],[f1698]) ).
cnf(s88,plain,
~ spl0_44,
inference(sat_conversion,[],[f1853]) ).
cnf(s107,plain,
~ spl0_45,
inference(sat_conversion,[],[f1979]) ).
cnf(s108,plain,
$false,
inference(rat,[],[s71,s107,s88]) ).
fof(f1980,plain,
$false,
inference(avatar_sat_refutation,[],[s108]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO008-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n009.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 06:30:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 Running first-order model finding
% 0.11/0.41 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
% 0.15/0.48 % (1674404)Will run a generic schedule for satisfiability detection.
% 0.15/0.48 % (1674412)dis+10_1_sil=32000:sp=arity:random_seed=2999777296:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.15/0.48 % (1674410)% WARNING: option uhcvi not known.
% 0.15/0.48 % (1674409)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=134884330_2999 on theBenchmark for (2999ds/0Mi)
% 0.15/0.48 % (1674413)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=904413704:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.15/0.48 % (1674410)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3812650626:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.15/0.48 % (1674411)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1145433116:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.15/0.48 % (1674414)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3207090376:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.15/0.48 % (1674415)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2588910169:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.15/0.48 % Detected minimum model sizes of [3]
% 0.15/0.48 % Detected maximum model sizes of [max]
% 0.15/0.48 % TRYING [3]
% 0.15/0.48 % (1674412) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1674404-1674412"...
% 0.15/0.48 % (1674412)...printing done.
% 0.15/0.48 % (1674412)Refutation found. Thanks to Tanya!
% 0.15/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.15/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.15/0.48 % (1674412)------------------------------
% 0.15/0.48 % (1674412)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.15/0.48 % (1674412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.15/0.48 % (1674412)CaDiCaL version: 2.1.3
% 0.15/0.48 % (1674412)Termination reason: Refutation
% 0.15/0.48 % (1674412)Time elapsed: 0.029 s
% 0.15/0.48 % (1674412)Peak memory usage: 13 MB
% 0.15/0.48 % (1674412)Instructions burned: 83 (million)
% 0.15/0.48 % (1674404)Success in time 0.058 s
% 0.15/0.48 % Vampire exiting
%------------------------------------------------------------------------------