%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n029.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 18:27:33 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   12 (   6 unt;   0 nHn;  12 RR)
%            Number of literals    :   18 (   0 equ;   9 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    7 (   6 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    capital(washington),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(5,axiom,
    country(usa),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(6,axiom,
    equal(capital_city(usa),washington),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ capital(u)
    | city(u) ),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ city(u)
    | has_crime(u) ),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ has_crime(washington)
    | ~ beautiful(washington) ),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ country(u)
    | beautiful(capital_city(u)) ),
    file('PUZ132+1.p',unknown),
    [] ).

cnf(13,plain,
    ( ~ city(washington)
    | ~ beautiful(washington) ),
    inference(res,[status(thm),theory(equality)],[8,9]),
    [iquote('0:Res:8.1,9.0')] ).

cnf(14,plain,
    ~ beautiful(washington),
    inference(ssi,[status(thm)],[13,7,4]),
    [iquote('0:SSi:13.0,7.0,4.1')] ).

cnf(15,plain,
    ( ~ country(usa)
    | beautiful(washington) ),
    inference(spr,[status(thm),theory(equality)],[6,11]),
    [iquote('0:SpR:6.0,11.1')] ).

cnf(16,plain,
    beautiful(washington),
    inference(ssi,[status(thm)],[15,5]),
    [iquote('0:SSi:15.0,5.0')] ).

cnf(17,plain,
    $false,
    inference(mrr,[status(thm)],[16,14]),
    [iquote('0:MRR:16.0,14.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ132+1 : TPTP v8.1.0. Released v4.1.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n029.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun May 29 02:26:58 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  
% 0.18/0.43  SPASS V 3.9 
% 0.18/0.43  SPASS beiseite: Proof found.
% 0.18/0.43  % SZS status Theorem
% 0.18/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 13 clauses.
% 0.18/0.43  SPASS allocated 97569 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.43  		0:00:00.04 for the input.
% 0.18/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43  		0:00:00.00 for inferences.
% 0.18/0.43  		0:00:00.00 for the backtracking.
% 0.18/0.43  		0:00:00.00 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 1, length 12 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.44  Formulae used in the proof : washington_type usa_type usa_capital_axiom capital_city_type crime_axiom washington_conjecture beautiful_capital_axiom
% 0.18/0.44  
%------------------------------------------------------------------------------