%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n019.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 12:31:11 PM UTC 2026
% Result : Unsatisfiable 2.61s 1.31s
% Output : Refutation 2.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 7
% Syntax : Number of formulae : 19 ( 11 unt; 1 def)
% Number of atoms : 35 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 40 ( 24 ~; 15 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 2 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
ocean(indian),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian) ).
fof(f9,axiom,
borders(indian,india),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_india) ).
fof(f12,axiom,
borders(indian,somalia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',indian_somalia) ).
fof(f21,axiom,
african(somalia),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',somalia) ).
fof(f24,axiom,
asian(india),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',india) ).
fof(f27,negated_conjecture,
! [X2,X0,X1] :
( ~ borders(X0,X2)
| ~ borders(X0,X1)
| ~ african(X1)
| ~ ocean(X0)
| ~ asian(X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_there_is_a_common_ocean) ).
fof(f99,plain,
! [X0] :
( ~ borders(indian,X0)
| ~ african(X0)
| ~ ocean(indian)
| ~ asian(india) ),
inference(resolution,[],[f9,f27]) ).
fof(f100,plain,
! [X0] :
( ~ borders(indian,X0)
| ~ african(X0)
| ~ asian(india) ),
inference(forward_subsumption_resolution,[],[f99,f2]) ).
fof(f102,plain,
! [X0] :
( ~ borders(indian,X0)
| ~ african(X0) ),
inference(forward_subsumption_resolution,[],[f100,f24]) ).
fof(f124,definition,
( spl0_12
<=> ! [X0] :
( ~ borders(indian,X0)
| ~ african(X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f125,plain,
( ! [X0] :
( ~ borders(indian,X0)
| ~ african(X0) )
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f124]) ).
fof(f149,plain,
spl0_12,
inference(avatar_split_clause,[],[f102,f124]) ).
fof(f153,plain,
( ~ african(somalia)
| ~ spl0_12 ),
inference(resolution,[],[f125,f12]) ).
fof(f160,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f153,f21]) ).
fof(f161,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f160]) ).
cnf(s19,plain,
spl0_12,
inference(sat_conversion,[],[f149]) ).
cnf(s24,plain,
~ spl0_12,
inference(sat_conversion,[],[f161]) ).
cnf(s25,plain,
$false,
inference(rat,[],[s19,s24]) ).
fof(f162,plain,
$false,
inference(avatar_sat_refutation,[],[s25]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n019.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % 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 22:29:19 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.61/1.31 % (3477059)Input is clausal, will run a generic CNF schedule.
% 2.61/1.31 % (3477147)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2635236151:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.61/1.31 % (3477147)First to succeed.
% 2.61/1.31 % (3477147)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3477059"
% 2.61/1.31 % (3477146)lrs+10_1_sil=8000:sp=occurrence:random_seed=2795762865:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.61/1.31 % (3477148)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1453427543:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.61/1.31 % (3477146)Also succeeded, but the first one will report.
% 2.61/1.31 % (3477148)Also succeeded, but the first one will report.
% 2.61/1.31 % (3477145)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=972281144:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.61/1.31 % (3477144)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=755713262:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.61/1.31 % (3477143)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=1187137562:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.61/1.31 % (3477149)dis-21_1_sil=8000:lcm=predicate:random_seed=12809551: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)
% 2.61/1.31 % (3477149)Also succeeded, but the first one will report.
% 2.61/1.31 % (3477147)Refutation found. Thanks to Tanya!
% 2.61/1.31 % SZS status Unsatisfiable for theBenchmark
% 2.61/1.31 % SZS output start Proof for theBenchmark
% See solution above
% 2.61/1.31 % (3477147)------------------------------
% 2.61/1.31 % (3477147)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.61/1.31 % (3477147)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.61/1.31 % (3477147)CaDiCaL version: 2.1.3
% 2.61/1.31 % (3477147)Termination reason: Refutation
% 2.61/1.31 % (3477147)Time elapsed: 0.002 s
% 2.61/1.31 % (3477147)Peak memory usage: 89 MB
% 2.61/1.31 % (3477147)Instructions burned: 2 (million)
% 2.61/1.31 % (3477147)------------------------------
% 2.61/1.31 % (3477147)------------------------------
% 2.61/1.31 % (3477059)Success in time 0.274 s
% 2.61/1.31 % Vampire exiting
%------------------------------------------------------------------------------