%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO051-3 : 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 : n015.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 09:53:24 AM UTC 2026
% Result : Unsatisfiable 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 11 unt; 2 def)
% Number of atoms : 52 ( 3 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 45 ( 21 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X2,X3)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f86,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X0,X1,X3)
| X0 = X1
| between(X0,X2,X3)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b12) ).
fof(f87,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f88,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f89,axiom,
u != v,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',u_not_v) ).
fof(f90,axiom,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
fof(f91,negated_conjecture,
~ between(v,x,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_x_between_v_and_w) ).
fof(f340,plain,
! [X0] :
( ~ between(u,w,X0)
| between(v,w,X0) ),
inference(resolution,[],[f61,f87]) ).
fof(f341,plain,
! [X0] :
( ~ between(u,x,X0)
| between(v,x,X0) ),
inference(resolution,[],[f61,f88]) ).
fof(f677,plain,
! [X0] :
( ~ between(u,v,X0)
| u = v
| between(u,x,X0)
| between(u,X0,x) ),
inference(resolution,[],[f86,f88]) ).
fof(f682,plain,
! [X0] :
( ~ between(u,v,X0)
| between(u,x,X0)
| between(u,X0,x) ),
inference(forward_subsumption_resolution,[],[f677,f89]) ).
fof(f1327,plain,
( between(u,x,w)
| between(u,w,x) ),
inference(resolution,[],[f682,f87]) ).
fof(f1353,definition,
( spl0_29
<=> between(u,w,x) ),
introduced(definition,[new_symbols(definition,[spl0_29])],[avatar_definition]) ).
fof(f1355,plain,
( between(u,w,x)
| ~ spl0_29 ),
inference(avatar_component_clause,[],[f1353]) ).
fof(f1357,definition,
( spl0_30
<=> between(u,x,w) ),
introduced(definition,[new_symbols(definition,[spl0_30])],[avatar_definition]) ).
fof(f1359,plain,
( between(u,x,w)
| ~ spl0_30 ),
inference(avatar_component_clause,[],[f1357]) ).
fof(f1360,plain,
( spl0_29
| spl0_30 ),
inference(avatar_split_clause,[],[f1327,f1357,f1353]) ).
fof(f1362,plain,
( between(v,w,x)
| ~ spl0_29 ),
inference(resolution,[],[f1355,f340]) ).
fof(f1416,plain,
( $false
| ~ spl0_29 ),
inference(forward_subsumption_resolution,[],[f1362,f90]) ).
fof(f1417,plain,
~ spl0_29,
inference(avatar_contradiction_clause,[],[f1416]) ).
fof(f1467,plain,
( between(v,x,w)
| ~ spl0_30 ),
inference(resolution,[],[f1359,f341]) ).
fof(f1519,plain,
( $false
| ~ spl0_30 ),
inference(forward_subsumption_resolution,[],[f1467,f91]) ).
fof(f1520,plain,
~ spl0_30,
inference(avatar_contradiction_clause,[],[f1519]) ).
cnf(s26,plain,
( spl0_29
| spl0_30 ),
inference(sat_conversion,[],[f1360]) ).
cnf(s30,plain,
~ spl0_29,
inference(sat_conversion,[],[f1417]) ).
cnf(s38,plain,
~ spl0_30,
inference(sat_conversion,[],[f1520]) ).
cnf(s41,plain,
$false,
inference(rat,[],[s26,s38,s30]) ).
fof(f1527,plain,
$false,
inference(avatar_sat_refutation,[],[s41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO051-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n015.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 06:47:45 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.17/0.52 % (1293360)Will run a generic schedule for satisfiability detection.
% 0.17/0.52 % (1293368)dis+10_1_sil=32000:sp=arity:random_seed=1906286911:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.52 % (1293366)% WARNING: option uhcvi not known.
% 0.17/0.52 % (1293365)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=866072874_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.52 % (1293366)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1920760860:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.52 % (1293367)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=864633339:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.52 % (1293370)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1732134422:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.52 % (1293369)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4068890398:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.52 % (1293371)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2852548354:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.52 % Detected minimum model sizes of [3]
% 0.17/0.52 % Detected maximum model sizes of [max]
% 0.17/0.52 % TRYING [3]
% 0.17/0.52 % (1293368)Instruction limit reached!
% 0.17/0.52 % (1293368)------------------------------
% 0.17/0.52 % (1293368)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (1293368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (1293368)CaDiCaL version: 2.1.3
% 0.17/0.52 % (1293368)Termination reason: Instruction limit
% 0.17/0.52 % (1293368)Termination phase: Saturation
% 0.17/0.52 % (1293368)Time elapsed: 0.035 s
% 0.17/0.52 % (1293368)Peak memory usage: 12 MB
% 0.17/0.52 % (1293368)Instructions burned: 106 (million)
% 0.17/0.52 % (1293379)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=122150062:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.17/0.52 % Detected minimum model sizes of [3]
% 0.17/0.52 % Detected maximum model sizes of [max]
% 0.17/0.52 % TRYING [3]
% 0.17/0.52 % (1293370) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1293360-1293370"...
% 0.17/0.52 % (1293370)...printing done.
% 0.17/0.52 % (1293370)Refutation found. Thanks to Tanya!
% 0.17/0.52 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.52 % (1293370)------------------------------
% 0.17/0.52 % (1293370)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.52 % (1293370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.52 % (1293370)CaDiCaL version: 2.1.3
% 0.17/0.52 % (1293370)Termination reason: Refutation
% 0.17/0.52 % (1293370)Time elapsed: 0.045 s
% 0.17/0.52 % (1293370)Peak memory usage: 13 MB
% 0.17/0.52 % (1293370)Instructions burned: 69 (million)
% 0.17/0.52 % (1293360)Success in time 0.089 s
% 0.17/0.52 % Vampire exiting
%------------------------------------------------------------------------------