%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : GEO047-3 : 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 : n002.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 0.13s 0.46s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 8 unt; 0 def)
% Number of atoms : 15 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 9 ( 5 ~; 4 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 8 ( 8 !; 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(f63,axiom,
! [X2,X3,X0,X1] :
( ~ between(X1,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X3,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',b8) ).
fof(f64,axiom,
between(u,v,w),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',v_between_u_and_w) ).
fof(f65,axiom,
between(u,w,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f66,negated_conjecture,
~ between(u,v,x),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_v_between_u_and_x) ).
fof(f212,plain,
between(w,v,u),
inference(resolution,[],[f53,f64]) ).
fof(f213,plain,
between(x,w,u),
inference(resolution,[],[f53,f65]) ).
fof(f623,plain,
! [X0] :
( ~ between(X0,w,u)
| between(X0,v,u) ),
inference(resolution,[],[f63,f212]) ).
fof(f649,plain,
between(x,v,u),
inference(resolution,[],[f623,f213]) ).
fof(f660,plain,
between(u,v,x),
inference(resolution,[],[f649,f53]) ).
fof(f661,plain,
$false,
inference(forward_subsumption_resolution,[],[f660,f66]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GEO047-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n002.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 06:45:07 UTC 2026
% 0.13/0.37 % CPUTime :
% 0.13/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.41 Running first-order model finding
% 0.13/0.41 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
% 0.13/0.46 % (3186517)Will run a generic schedule for satisfiability detection.
% 0.13/0.46 % (3186524)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2584937328:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.13/0.46 % (3186523)% WARNING: option uhcvi not known.
% 0.13/0.46 % (3186522)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3822174114_2999 on theBenchmark for (2999ds/0Mi)
% 0.13/0.46 % (3186523)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4164668298:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.13/0.46 % (3186524) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3186517-3186524"...
% 0.13/0.46 % (3186525)dis+10_1_sil=32000:sp=arity:random_seed=3453133875:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.46 % (3186527)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1084055550:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.46 % (3186526)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2402293348:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.13/0.46 % (3186528)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1350130864:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.13/0.46 % (3186524)...printing done.
% 0.13/0.46 % (3186524)Refutation found. Thanks to Tanya!
% 0.13/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.46 % (3186524)------------------------------
% 0.13/0.46 % (3186524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.46 % (3186524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.46 % (3186524)CaDiCaL version: 2.1.3
% 0.13/0.46 % (3186524)Termination reason: Refutation
% 0.13/0.46 % (3186524)Time elapsed: 0.007 s
% 0.13/0.46 % (3186524)Peak memory usage: 12 MB
% 0.13/0.46 % (3186524)Instructions burned: 14 (million)
% 0.13/0.46 % (3186517)Success in time 0.039 s
% 0.13/0.46 % Vampire exiting
%------------------------------------------------------------------------------