%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO041-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n011.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 09:53:22 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.43s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 14 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t1) ).
fof(f55,axiom,
! [X2,X0,X1] :
( ~ between(X1,X0,X2)
| ~ between(X0,X1,X2)
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b2) ).
fof(f56,axiom,
between(u,v,w),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f57,axiom,
between(u,w,v),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_v) ).
fof(f58,negated_conjecture,
v != w,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_is_w) ).
fof(f136,plain,
between(w,v,u),
inference(resolution,[],[f53,f56]) ).
fof(f137,plain,
between(v,w,u),
inference(resolution,[],[f53,f57]) ).
fof(f284,plain,
( ~ between(v,w,u)
| v = w ),
inference(resolution,[],[f55,f136]) ).
fof(f285,plain,
v = w,
inference(forward_subsumption_resolution,[],[f284,f137]) ).
fof(f287,plain,
$false,
inference(forward_subsumption_resolution,[],[f285,f58]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO041-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.36 % Computer : n011.cluster.edu
% 0.11/0.36 % Model : x86_64 x86_64
% 0.11/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.36 % Memory : 8046.5625MB
% 0.11/0.36 % OS : Linux 6.8.0-71-generic
% 0.11/0.36 % CPULimit : 300
% 0.11/0.36 % WCLimit : 300
% 0.11/0.36 % DateTime : Sun Sep 27 06:41:31 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 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
% 0.11/0.43 % (2045770)Will run a generic schedule for satisfiability detection.
% 0.11/0.43 % (2045780)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3904516390:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.11/0.43 % (2045780) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2045770-2045780"...
% 0.11/0.43 % (2045779)% WARNING: option uhcvi not known.
% 0.11/0.43 % (2045780)...printing done.
% 0.11/0.43 % (2045780)Refutation found. Thanks to Tanya!
% 0.11/0.43 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.43 % (2045780)------------------------------
% 0.11/0.43 % (2045780)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.43 % (2045780)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.43 % (2045780)CaDiCaL version: 2.1.3
% 0.11/0.43 % (2045780)Termination reason: Refutation
% 0.11/0.43 % (2045780)Time elapsed: 0.003 s
% 0.11/0.43 % (2045780)Peak memory usage: 12 MB
% 0.11/0.43 % (2045780)Instructions burned: 6 (million)
% 0.11/0.43 % (2045770)Success in time 0.019 s
% 0.11/0.43 % Vampire exiting
%------------------------------------------------------------------------------