%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 09:51:21 AM UTC 2026
% Result : Unsatisfiable 3.40s 1.36s
% Output : Refutation 3.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 26 ( 10 unt; 2 def)
% Number of atoms : 46 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 39 ( 19 ~; 18 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 4 ( 4 usr; 4 con; 0-0 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X2,X3)
| ~ between(X0,X1,X2)
| between(X1,X2,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b5) ).
fof(f89,axiom,
! [X2,X3,X0,X1] :
( ~ between(X0,X3,X2)
| ~ between(X0,X1,X2)
| between(X0,X1,X3)
| between(X0,X3,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t9) ).
fof(f90,axiom,
between(u,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',v_between_u_and_x) ).
fof(f91,axiom,
between(u,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_between_u_and_x) ).
fof(f92,axiom,
~ between(v,w,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',w_not_between_v_and_x) ).
fof(f93,negated_conjecture,
~ between(w,v,x),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_v_between_w_and_x) ).
fof(f98,plain,
! [X0] :
( ~ between(u,X0,v)
| between(X0,v,x) ),
inference(resolution,[],[f61,f90]) ).
fof(f99,plain,
! [X0] :
( ~ between(u,X0,w)
| between(X0,w,x) ),
inference(resolution,[],[f61,f91]) ).
fof(f120,plain,
! [X0] :
( ~ between(u,X0,x)
| between(u,X0,v)
| between(u,v,X0) ),
inference(resolution,[],[f89,f90]) ).
fof(f139,plain,
( between(u,w,v)
| between(u,v,w) ),
inference(resolution,[],[f120,f91]) ).
fof(f144,definition,
( spl0_1
<=> between(u,v,w) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f146,plain,
( between(u,v,w)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f144]) ).
fof(f148,definition,
( spl0_2
<=> between(u,w,v) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f150,plain,
( between(u,w,v)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f151,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f139,f148,f144]) ).
fof(f153,plain,
( between(w,v,x)
| ~ spl0_2 ),
inference(resolution,[],[f150,f98]) ).
fof(f159,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f153,f93]) ).
fof(f160,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f159]) ).
fof(f167,plain,
( between(v,w,x)
| ~ spl0_1 ),
inference(resolution,[],[f146,f99]) ).
fof(f173,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f167,f92]) ).
fof(f174,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f173]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f151]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f160]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f174]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f175,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GEO052-3 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n009.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 06:44:30 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.40/1.36 % (1678680)Input is clausal, will run a generic CNF schedule.
% 3.40/1.36 % (1678686)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3255145194:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.40/1.36 % (1678690)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=886307600:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.40/1.36 % (1678687)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=63581523:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.40/1.36 % (1678689)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4284942104:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.40/1.36 % (1678685)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=4051189908:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.40/1.36 % (1678688)lrs+10_1_sil=8000:sp=occurrence:random_seed=519352273:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.40/1.36 % (1678688)First to succeed.
% 3.40/1.36 % (1678688)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1678680"
% 3.40/1.36 % (1678691)dis-21_1_sil=8000:lcm=predicate:random_seed=3240672447:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.40/1.36 % (1678691)Also succeeded, but the first one will report.
% 3.40/1.36 % (1678689)Also succeeded, but the first one will report.
% 3.40/1.36 % (1678690)Also succeeded, but the first one will report.
% 3.40/1.36 % (1678688)Refutation found. Thanks to Tanya!
% 3.40/1.36 % SZS status Unsatisfiable for theBenchmark
% 3.40/1.36 % SZS output start Proof for theBenchmark
% See solution above
% 3.40/1.36 % (1678688)------------------------------
% 3.40/1.36 % (1678688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.40/1.36 % (1678688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.40/1.36 % (1678688)CaDiCaL version: 2.1.3
% 3.40/1.36 % (1678688)Termination reason: Refutation
% 3.40/1.36 % (1678688)Time elapsed: 0.003 s
% 3.40/1.36 % (1678688)Peak memory usage: 89 MB
% 3.40/1.36 % (1678688)Instructions burned: 2 (million)
% 3.40/1.36 % (1678688)------------------------------
% 3.40/1.36 % (1678688)------------------------------
% 3.40/1.36 % (1678680)Success in time 0.416 s
% 3.40/1.36 % Vampire exiting
%------------------------------------------------------------------------------