TSTP Solution File: PUZ011-1 by SPASS---3.9
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%------------------------------------------------------------------------------
% File : SPASS---3.9
% Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_spass %d %s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Mon Jul 18 18:27:15 EDT 2022
% Result : Unsatisfiable 0.22s 0.42s
% Output : Refutation 0.22s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 10 ( 7 unt; 0 nHn; 10 RR)
% Number of literals : 18 ( 0 equ; 12 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 6 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
ocean(indian),
file('PUZ011-1.p',unknown),
[] ).
cnf(11,axiom,
borders(indian,iran),
file('PUZ011-1.p',unknown),
[] ).
cnf(14,axiom,
borders(indian,tanzania),
file('PUZ011-1.p',unknown),
[] ).
cnf(23,axiom,
african(tanzania),
file('PUZ011-1.p',unknown),
[] ).
cnf(26,axiom,
asian(iran),
file('PUZ011-1.p',unknown),
[] ).
cnf(27,axiom,
( ~ asian(u)
| ~ african(v)
| ~ ocean(w)
| ~ borders(w,v)
| ~ borders(w,u) ),
file('PUZ011-1.p',unknown),
[] ).
cnf(42,plain,
( ~ ocean(indian)
| ~ african(u)
| ~ asian(iran)
| ~ borders(indian,u) ),
inference(res,[status(thm),theory(equality)],[11,27]),
[iquote('0:Res:11.0,27.3')] ).
cnf(66,plain,
( ~ african(u)
| ~ borders(indian,u) ),
inference(mrr,[status(thm)],[42,2,26]),
[iquote('0:MRR:42.0,42.2,2.0,26.0')] ).
cnf(89,plain,
~ african(tanzania),
inference(res,[status(thm),theory(equality)],[14,66]),
[iquote('0:Res:14.0,66.1')] ).
cnf(95,plain,
$false,
inference(ssi,[status(thm)],[89,23]),
[iquote('0:SSi:89.0,23.0')] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : PUZ011-1 : TPTP v8.1.0. Released v1.0.0.
% 0.08/0.15 % Command : run_spass %d %s
% 0.14/0.36 % Computer : n020.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sat May 28 22:39:09 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.42
% 0.22/0.42 SPASS V 3.9
% 0.22/0.42 SPASS beiseite: Proof found.
% 0.22/0.42 % SZS status Theorem
% 0.22/0.42 Problem: /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.42 SPASS derived 41 clauses, backtracked 0 clauses, performed 0 splits and kept 51 clauses.
% 0.22/0.42 SPASS allocated 75661 KBytes.
% 0.22/0.42 SPASS spent 0:00:00.04 on the problem.
% 0.22/0.42 0:00:00.03 for the input.
% 0.22/0.42 0:00:00.00 for the FLOTTER CNF translation.
% 0.22/0.42 0:00:00.00 for inferences.
% 0.22/0.42 0:00:00.00 for the backtracking.
% 0.22/0.42 0:00:00.00 for the reduction.
% 0.22/0.42
% 0.22/0.42
% 0.22/0.42 Here is a proof with depth 2, length 10 :
% 0.22/0.42 % SZS output start Refutation
% See solution above
% 0.22/0.42 Formulae used in the proof : indian indian_iran indian_tanzania tanzania iran prove_there_is_a_common_ocean
% 0.22/0.42
%------------------------------------------------------------------------------