%------------------------------------------------------------------------------
% File : Prover9---2026-6A
% Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Sun Sep 27 08:22:44 AM UTC 2026
% Result : Unsatisfiable 0.16s 0.46s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 6
% Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% Number of atoms : 31 ( 0 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 34 ( 20 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 9 ( 0 sgn 3 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(prove_there_is_a_common_ocean,axiom,
! [VAR_0,VAR_1,VAR_2] :
( ~ asian(VAR_2)
| ~ borders(VAR_0,VAR_2)
| ~ african(VAR_1)
| ~ borders(VAR_0,VAR_1)
| ~ ocean(VAR_0) ),
file('theBenchmark.p',prove_there_is_a_common_ocean) ).
cnf(c_1,plain,
( ~ asian(C)
| ~ borders(A,C)
| ~ african(B)
| ~ borders(A,B)
| ~ ocean(A) ),
inference(clausify,[status(thm)],[prove_there_is_a_common_ocean]) ).
fof(indian,axiom,
ocean(indian),
file('theBenchmark.p',indian) ).
cnf(c_2,plain,
ocean(indian),
inference(clausify,[status(thm)],[indian]) ).
cnf(c_4,plain,
( ~ asian(B)
| ~ borders(indian,B)
| ~ african(A)
| ~ borders(indian,A) ),
inference(resolve,[status(thm)],[c_1,c_2]) ).
fof(tanzania,axiom,
african(tanzania),
file('theBenchmark.p',tanzania) ).
cnf(c_5,plain,
african(tanzania),
inference(clausify,[status(thm)],[tanzania]) ).
cnf(c_13,plain,
( ~ asian(A)
| ~ borders(indian,A)
| ~ borders(indian,tanzania) ),
inference(resolve,[status(thm)],[c_4,c_5]) ).
fof(india,axiom,
asian(india),
file('theBenchmark.p',india) ).
cnf(c_26,plain,
asian(india),
inference(clausify,[status(thm)],[india]) ).
cnf(c_38,plain,
( ~ borders(indian,india)
| ~ borders(indian,tanzania) ),
inference(resolve,[status(thm)],[c_26,c_13]) ).
fof(indian_india,axiom,
borders(indian,india),
file('theBenchmark.p',indian_india) ).
cnf(c_69,plain,
borders(indian,india),
inference(clausify,[status(thm)],[indian_india]) ).
fof(indian_tanzania,axiom,
borders(indian,tanzania),
file('theBenchmark.p',indian_tanzania) ).
cnf(c_74,plain,
borders(indian,tanzania),
inference(clausify,[status(thm)],[indian_tanzania]) ).
cnf(c_79,plain,
~ borders(indian,india),
inference(resolve,[status(thm)],[c_74,c_38]) ).
cnf(c_78,plain,
$false,
inference(resolve,[status(thm)],[c_69,c_79]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : PUZ011-1 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.43 % Computer : n005.cluster.edu
% 0.16/0.43 % Model : x86_64 x86_64
% 0.16/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.43 % Memory : 8046.5625MB
% 0.16/0.43 % OS : Linux 6.8.0-71-generic
% 0.16/0.43 % CPULimit : 300
% 0.16/0.43 % WCLimit : 300
% 0.16/0.43 % DateTime : Sat Sep 26 05:03:18 UTC 2026
% 0.16/0.44 % CPUTime :
% 0.16/0.44 % Prover9 (64) version 2026-6A, July 2026, CASC-J13.
% 0.16/0.44 % Process 1253795 was started by sandbox on n005,
% 0.16/0.44 % Sat Sep 26 05:03:18 2026
% 0.16/0.44 % The command was "/export/starexec/sandbox/solver/bin/prover9 -casc 300 -f /export/starexec/sandbox/benchmark/theBenchmark.p".
% 0.16/0.45
% 0.16/0.45 % From the command line: assign(max_seconds, 300).
% 0.16/0.46
% 0.16/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.16/0.46
% 0.16/0.46 % Proof 1 at 0.00 (+ 0.00) seconds.
% 0.16/0.46 % Length of proof is 10.
% 0.16/0.46 % Level of proof is 4.
% 0.16/0.46 % Maximum clause weight is 6.000.
% 0.16/0.46 % Given clauses 0.
% 0.16/0.46
% 0.16/0.46 % SZS output start CNFRefutation for theBenchmark
% See solution above
%------------------------------------------------------------------------------