%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO052-3 : 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 : n006.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 09:53:25 AM UTC 2026
% Result : Unsatisfiable 0.41s 0.48s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 18 |; 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 : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
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(f90,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f91,axiom,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f92,axiom,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
fof(f93,negated_conjecture,
~ between(w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_w_and_x) ).
fof(f240,plain,
! [X0] :
( ~ between(u,X0,v)
| between(X0,v,x) ),
inference(resolution,[],[f61,f90]) ).
fof(f241,plain,
! [X0] :
( ~ between(u,X0,w)
| between(X0,w,x) ),
inference(resolution,[],[f61,f91]) ).
fof(f415,plain,
! [X0] :
( ~ between(u,X0,x)
| between(u,X0,w)
| between(u,w,X0) ),
inference(resolution,[],[f89,f91]) ).
fof(f1062,definition,
( spl0_22
<=> between(u,v,w) ),
introduced(definition,[new_symbols(definition,[spl0_22])],[avatar_definition]) ).
fof(f1064,plain,
( between(u,v,w)
| ~ spl0_22 ),
inference(avatar_component_clause,[],[f1062]) ).
fof(f1066,definition,
( spl0_23
<=> between(u,w,v) ),
introduced(definition,[new_symbols(definition,[spl0_23])],[avatar_definition]) ).
fof(f1068,plain,
( between(u,w,v)
| ~ spl0_23 ),
inference(avatar_component_clause,[],[f1066]) ).
fof(f1070,plain,
( between(u,v,w)
| between(u,w,v) ),
inference(resolution,[],[f415,f90]) ).
fof(f1075,plain,
( spl0_23
| spl0_22 ),
inference(avatar_split_clause,[],[f1070,f1062,f1066]) ).
fof(f1077,plain,
( between(v,w,x)
| ~ spl0_22 ),
inference(resolution,[],[f1064,f241]) ).
fof(f1113,plain,
( $false
| ~ spl0_22 ),
inference(forward_subsumption_resolution,[],[f1077,f92]) ).
fof(f1114,plain,
~ spl0_22,
inference(avatar_contradiction_clause,[],[f1113]) ).
fof(f1120,plain,
( between(w,v,x)
| ~ spl0_23 ),
inference(resolution,[],[f1068,f240]) ).
fof(f1152,plain,
( $false
| ~ spl0_23 ),
inference(forward_subsumption_resolution,[],[f1120,f93]) ).
fof(f1153,plain,
~ spl0_23,
inference(avatar_contradiction_clause,[],[f1152]) ).
cnf(s26,plain,
( spl0_22
| spl0_23 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s29,plain,
~ spl0_22,
inference(sat_conversion,[],[f1114]) ).
cnf(s31,plain,
~ spl0_23,
inference(sat_conversion,[],[f1153]) ).
cnf(s32,plain,
$false,
inference(rat,[],[s26,s31,s29]) ).
fof(f1154,plain,
$false,
inference(avatar_sat_refutation,[],[s32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.36 % Computer : n006.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 27 06:43:55 UTC 2026
% 0.04/0.36 % CPUTime :
% 0.04/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.04/0.39 Running first-order model finding
% 0.04/0.39 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
% 0.41/0.48 % (2640264)Will run a generic schedule for satisfiability detection.
% 0.41/0.48 % (2640269)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=659326361_2999 on theBenchmark for (2999ds/0Mi)
% 0.41/0.48 % Detected minimum model sizes of [3]
% 0.41/0.48 % Detected maximum model sizes of [max]
% 0.41/0.48 % TRYING [3]
% 0.41/0.48 % (2640270)% WARNING: option uhcvi not known.
% 0.41/0.48 % (2640275)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=794850999:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.41/0.48 % (2640271)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=713850354:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.41/0.48 % (2640272)dis+10_1_sil=32000:sp=arity:random_seed=972336212:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.41/0.48 % (2640273)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3091971631:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.41/0.48 % (2640274)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1210359261:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.41/0.48 % (2640270)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1007429458:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.41/0.48 % TRYING [4]
% 0.41/0.48 % (2640270) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2640264-2640270"...
% 0.41/0.48 % (2640270)...printing done.
% 0.41/0.48 % (2640270)Refutation found. Thanks to Tanya!
% 0.41/0.48 % SZS status Unsatisfiable for theBenchmark
% 0.41/0.48 % SZS output start Proof for theBenchmark
% See solution above
% 0.41/0.48 % (2640270)------------------------------
% 0.41/0.48 % (2640270)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.41/0.48 % (2640270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.41/0.48 % (2640270)CaDiCaL version: 2.1.3
% 0.41/0.48 % (2640270)Termination reason: Refutation
% 0.41/0.48 % (2640270)Time elapsed: 0.035 s
% 0.41/0.48 % (2640270)Peak memory usage: 13 MB
% 0.41/0.48 % (2640270)Instructions burned: 49 (million)
% 0.41/0.48 % (2640264)Success in time 0.076 s
% 0.41/0.48 % Vampire exiting
%------------------------------------------------------------------------------