%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO022-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 09:53:18 AM UTC 2026
% Result : Unsatisfiable 0.11s 0.46s
% Output : Refutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 9 ( 6 unt; 0 def)
% Number of atoms : 13 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 12 ( 8 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-4 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X3,X0,X1,X4,X5] :
( ~ equidistant(X0,X1,X2,X3)
| ~ equidistant(X0,X1,X4,X5)
| equidistant(X2,X3,X4,X5) ),
file('/export/starexec/sandbox/benchmark/Axioms/GEO002-0.ax',transitivity_for_equidistance) ).
fof(f20,axiom,
! [X2,X3,X0,X1] :
( ~ equidistant(X0,X1,X2,X3)
| equidistant(X2,X3,X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2) ).
fof(f27,axiom,
equidistant(u,v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_to_v_equals_w_to_x) ).
fof(f28,axiom,
equidistant(w,x,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_to_x_equals_y_to_z) ).
fof(f29,negated_conjecture,
~ equidistant(u,v,y,z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_transitivity) ).
fof(f192,plain,
! [X0,X1] :
( ~ equidistant(X0,X1,y,z)
| ~ equidistant(X0,X1,u,v) ),
inference(resolution,[],[f2,f29]) ).
fof(f204,plain,
~ equidistant(w,x,u,v),
inference(resolution,[],[f192,f28]) ).
fof(f218,plain,
~ equidistant(u,v,w,x),
inference(resolution,[],[f204,f20]) ).
fof(f222,plain,
$false,
inference(forward_subsumption_resolution,[],[f218,f27]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO022-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.38 % Computer : n005.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 06:35:47 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.46 % (3628581)Will run a generic schedule for satisfiability detection.
% 0.11/0.46 % (3628590)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2413683383:i=116_3000 on theBenchmark for (3000ds/116Mi)
% 0.11/0.46 % (3628592)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3876404774:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_3000 on theBenchmark for (3000ds/159Mi)
% 0.11/0.46 % (3628586)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3910089748_3000 on theBenchmark for (3000ds/0Mi)
% 0.11/0.46 % (3628591)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1207694838:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.11/0.46 % (3628588)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1160264282:i=88024:add=on:rawr=on_3000 on theBenchmark for (3000ds/88024Mi)
% 0.11/0.46 % (3628589)dis+10_1_sil=32000:sp=arity:random_seed=2838399291:i=103:fgj=on_3000 on theBenchmark for (3000ds/103Mi)
% 0.11/0.46 % (3628590) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3628581-3628590"...
% 0.11/0.46 % (3628590)...printing done.
% 0.11/0.46 % TRYING [1]
% 0.11/0.46 % (3628590)Refutation found. Thanks to Tanya!
% 0.11/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.11/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.46 % (3628590)------------------------------
% 0.11/0.46 % (3628590)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.11/0.46 % (3628590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.11/0.46 % (3628590)CaDiCaL version: 2.1.3
% 0.11/0.46 % (3628590)Termination reason: Refutation
% 0.11/0.46 % (3628590)Time elapsed: 0.003 s
% 0.11/0.46 % (3628590)Peak memory usage: 11 MB
% 0.11/0.46 % (3628590)Instructions burned: 9 (million)
% 0.11/0.46 % (3628581)Success in time 0.032 s
% 0.11/0.46 % Vampire exiting
%------------------------------------------------------------------------------