%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO045-3 : 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 : n001.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 09:53:23 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.49s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 13 ( 9 unt; 0 def)
% Number of atoms : 20 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 14 ( 7 ~; 7 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 9 ( 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f53,axiom,
! [X2,X0,X1] :
( ~ between(X0,X1,X2)
| between(X2,X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t1) ).
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X1,X2)
| ~ between(X1,X2,X3)
| between(X0,X2,X3)
| X1 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b6) ).
fof(f62,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f63,axiom,
between(v,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_v_and_x) ).
fof(f64,axiom,
v != w,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_not_w) ).
fof(f65,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
fof(f81,plain,
between(w,v,u),
inference(resolution,[],[f53,f62]) ).
fof(f82,plain,
between(x,w,v),
inference(resolution,[],[f53,f63]) ).
fof(f430,plain,
! [X0] :
( ~ between(w,v,X0)
| between(x,v,X0)
| v = w ),
inference(resolution,[],[f61,f82]) ).
fof(f431,plain,
! [X0] :
( ~ between(w,v,X0)
| between(x,v,X0) ),
inference(forward_subsumption_resolution,[],[f430,f64]) ).
fof(f831,plain,
between(x,v,u),
inference(resolution,[],[f431,f81]) ).
fof(f857,plain,
between(u,v,x),
inference(resolution,[],[f831,f53]) ).
fof(f869,plain,
$false,
inference(forward_subsumption_resolution,[],[f857,f65]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO045-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.41 % Computer : n001.cluster.edu
% 0.11/0.41 % Model : x86_64 x86_64
% 0.11/0.41 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.41 % Memory : 8046.5625MB
% 0.11/0.41 % OS : Linux 6.8.0-71-generic
% 0.11/0.41 % CPULimit : 300
% 0.11/0.41 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 06:47:45 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.44 Running first-order model finding
% 0.11/0.44 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
% 0.16/0.49 % (3207353)Will run a generic schedule for satisfiability detection.
% 0.16/0.49 % (3207363)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2097338914:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.16/0.49 % (3207359)% WARNING: option uhcvi not known.
% 0.16/0.49 % (3207358)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=208805717_2999 on theBenchmark for (2999ds/0Mi)
% 0.16/0.49 % (3207359)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=522078911:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.16/0.49 % (3207360)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3128335923:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.16/0.49 % (3207361)dis+10_1_sil=32000:sp=arity:random_seed=3070709160:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.16/0.49 % (3207362)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=142496876:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.16/0.49 % (3207364)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=366925019:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.16/0.49 % TRYING [1]
% 0.16/0.49 % TRYING [2]
% 0.16/0.49 % (3207363) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3207353-3207363"...
% 0.16/0.49 % (3207363)...printing done.
% 0.16/0.49 % TRYING [3]
% 0.16/0.49 % (3207363)Refutation found. Thanks to Tanya!
% 0.16/0.49 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.49 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/0.49 % (3207363)------------------------------
% 0.16/0.49 % (3207363)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.16/0.49 % (3207363)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/0.49 % (3207363)CaDiCaL version: 2.1.3
% 0.16/0.49 % (3207363)Termination reason: Refutation
% 0.16/0.49 % (3207363)Time elapsed: 0.012 s
% 0.16/0.49 % (3207363)Peak memory usage: 12 MB
% 0.16/0.49 % (3207363)Instructions burned: 31 (million)
% 0.16/0.49 % (3207353)Success in time 0.042 s
% 0.16/0.50 % Vampire exiting
%------------------------------------------------------------------------------