TSTP Solution File: PUZ011-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% 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  
%------------------------------------------------------------------------------