%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% 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 18:27:23 EDT 2022

% Result   : Unsatisfiable 0.12s 0.34s
% Output   : Refutation 0.12s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   16 (  10 unt;   0 nHn;  16 RR)
%            Number of literals    :   22 (   0 equ;  14 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-5 aty)
%            Number of functors    :   10 (  10 usr;   6 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    p(south,south,south,south,start),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ p(north,north,south,north,u)
    | p(south,north,south,north,go_alone(u)) ),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ p(north,south,north,south,u)
    | p(south,south,north,south,go_alone(u)) ),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ p(south,south,north,south,u)
    | p(north,north,north,south,take_wolf(u)) ),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ p(south,u,south,v,w)
    | p(north,u,north,v,take_goat(w)) ),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(11,axiom,
    ( ~ p(north,u,north,v,w)
    | p(south,u,south,v,take_goat(w)) ),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ p(south,north,south,south,u)
    | p(north,north,south,north,take_cabbage(u)) ),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(16,axiom,
    ~ p(north,north,north,north,u),
    file('PUZ047-1.p',unknown),
    [] ).

cnf(17,plain,
    ~ p(south,north,south,north,u),
    inference(res,[status(thm),theory(equality)],[10,16]),
    [iquote('0:Res:10.1,16.0')] ).

cnf(18,plain,
    ~ p(north,north,south,north,u),
    inference(mrr,[status(thm)],[3,17]),
    [iquote('0:MRR:3.1,17.0')] ).

cnf(19,plain,
    ~ p(south,north,south,south,u),
    inference(mrr,[status(thm)],[12,18]),
    [iquote('0:MRR:12.1,18.0')] ).

cnf(22,plain,
    ~ p(north,north,north,south,u),
    inference(res,[status(thm),theory(equality)],[11,19]),
    [iquote('0:Res:11.1,19.0')] ).

cnf(23,plain,
    ~ p(south,south,north,south,u),
    inference(mrr,[status(thm)],[8,22]),
    [iquote('0:MRR:8.1,22.0')] ).

cnf(25,plain,
    ~ p(north,south,north,south,u),
    inference(mrr,[status(thm)],[5,23]),
    [iquote('0:MRR:5.1,23.0')] ).

cnf(29,plain,
    ~ p(south,south,south,south,u),
    inference(res,[status(thm),theory(equality)],[10,25]),
    [iquote('0:Res:10.1,25.0')] ).

cnf(30,plain,
    $false,
    inference(unc,[status(thm)],[29,1]),
    [iquote('0:UnC:29.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : PUZ047-1 : TPTP v8.1.0. Released v2.5.0.
% 0.00/0.09  % Command  : run_spass %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Sat May 28 20:26:25 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.12/0.34  
% 0.12/0.34  SPASS V 3.9 
% 0.12/0.34  SPASS beiseite: Proof found.
% 0.12/0.34  % SZS status Theorem
% 0.12/0.34  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.12/0.34  SPASS derived 13 clauses, backtracked 0 clauses, performed 0 splits and kept 25 clauses.
% 0.12/0.34  SPASS allocated 63101 KBytes.
% 0.12/0.34  SPASS spent	0:00:00.05 on the problem.
% 0.12/0.34  		0:00:00.03 for the input.
% 0.12/0.34  		0:00:00.00 for the FLOTTER CNF translation.
% 0.12/0.34  		0:00:00.00 for inferences.
% 0.12/0.34  		0:00:00.00 for the backtracking.
% 0.12/0.34  		0:00:00.00 for the reduction.
% 0.12/0.34  
% 0.12/0.34  
% 0.12/0.34  Here is a proof with depth 1, length 16 :
% 0.12/0.34  % SZS output start Refutation
% See solution above
% 0.12/0.34  Formulae used in the proof : thm100_1 thm100_3 thm100_5 thm100_8 thm100_10 thm100_11 thm100_12 thm100_16
% 0.12/0.34  
%------------------------------------------------------------------------------