%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 18:27:11 EDT 2022

% Result   : Unsatisfiable 0.11s 0.32s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   12
% Syntax   : Number of clauses     :   16 (   6 unt;   1 nHn;  16 RR)
%            Number of literals    :   26 (   0 equ;  13 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :   12 (  11 usr;   1 prp; 0-1 aty)
%            Number of functors    :    2 (   2 usr;   2 con; 0-0 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ in_house(u)
    | cat(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ gazer(u)
    | suitable_pet(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ detested(u)
    | avoided(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ carnivore(u)
    | prowler(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ cat(u)
    | mouse_killer(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ takes_to_me(u)
    | in_house(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ suitable_pet(u)
    | ~ kangaroo(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ mouse_killer(u)
    | carnivore(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( detested(u)
    | takes_to_me(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ prowler(u)
    | gazer(u) ),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(11,axiom,
    kangaroo(the_kangaroo),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(12,axiom,
    ~ avoided(the_kangaroo),
    file('PUZ002-1.p',unknown),
    [] ).

cnf(13,plain,
    ~ detested(the_kangaroo),
    inference(res,[status(thm),theory(equality)],[3,12]),
    [iquote('0:Res:3.1,12.0')] ).

cnf(25,plain,
    takes_to_me(the_kangaroo),
    inference(sor,[status(thm)],[13,9]),
    [iquote('0:SoR:13.0,9.0')] ).

cnf(27,plain,
    ~ gazer(the_kangaroo),
    inference(ems,[status(thm)],[7,2,11]),
    [iquote('0:EmS:7.0,7.1,2.1,11.0')] ).

cnf(28,plain,
    $false,
    inference(ssi,[status(thm)],[27,6,1,5,8,4,10,11,25]),
    [iquote('0:SSi:27.0,6.0,1.0,5.1,8.1,4.1,10.1,11.1,25.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : PUZ002-1 : TPTP v8.1.0. Released v1.0.0.
% 0.00/0.08  % Command  : run_spass %d %s
% 0.08/0.26  % Computer : n032.cluster.edu
% 0.08/0.26  % Model    : x86_64 x86_64
% 0.08/0.26  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.26  % Memory   : 8042.1875MB
% 0.08/0.26  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.26  % CPULimit : 300
% 0.08/0.26  % WCLimit  : 600
% 0.08/0.26  % DateTime : Sun May 29 02:04:11 EDT 2022
% 0.08/0.26  % CPUTime  : 
% 0.11/0.32  
% 0.11/0.32  SPASS V 3.9 
% 0.11/0.32  SPASS beiseite: Proof found.
% 0.11/0.32  % SZS status Theorem
% 0.11/0.32  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.11/0.32  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 15 clauses.
% 0.11/0.32  SPASS allocated 75615 KBytes.
% 0.11/0.32  SPASS spent	0:00:00.04 on the problem.
% 0.11/0.32  		0:00:00.03 for the input.
% 0.11/0.32  		0:00:00.00 for the FLOTTER CNF translation.
% 0.11/0.32  		0:00:00.00 for inferences.
% 0.11/0.32  		0:00:00.00 for the backtracking.
% 0.11/0.32  		0:00:00.00 for the reduction.
% 0.11/0.32  
% 0.11/0.32  
% 0.11/0.32  Here is a proof with depth 2, length 16 :
% 0.11/0.32  % SZS output start Refutation
% See solution above
% 0.11/0.32  Formulae used in the proof : only_cats_in_house gazers_are_suitable_pets avoid_detested carnivores_are_prowlers cats_are_mice_killers in_house_if_takes_to_me kangaroos_are_not_pets mouse_killers_are_carnivores takes_to_me_or_detested prowlers_are_gazers kangaroo_is_a_kangaroo avoid_kangaroo
% 0.11/0.32  
%------------------------------------------------------------------------------