%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ009-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 18:27:12 EDT 2022

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   6 unt;   3 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;   7 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    6 (   5 usr;   6 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ b_is_a_knight
    | ~ a_is_a_knight ),
    file('PUZ009-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ e_is_a_knight
    | ~ d_is_a_knight
    | c_is_a_knight ),
    file('PUZ009-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( d_is_a_knight
    | a_is_a_knight
    | c_is_a_knight ),
    file('PUZ009-1.p',unknown),
    [] ).

cnf(16,axiom,
    ( a_is_a_knight
    | e_is_a_knight ),
    file('PUZ009-1.p',unknown),
    [] ).

cnf(17,axiom,
    ( ~ c_is_a_knight
    | a_is_a_knight ),
    file('PUZ009-1.p',unknown),
    [] ).

cnf(18,axiom,
    b_is_a_knight,
    file('PUZ009-1.p',unknown),
    [] ).

cnf(19,plain,
    ( d_is_a_knight
    | a_is_a_knight ),
    inference(mrr,[status(thm)],[13,17]),
    [iquote('0:MRR:13.2,17.0')] ).

cnf(21,plain,
    ~ a_is_a_knight,
    inference(mrr,[status(thm)],[3,18]),
    [iquote('0:MRR:3.0,18.0')] ).

cnf(22,plain,
    e_is_a_knight,
    inference(mrr,[status(thm)],[16,21]),
    [iquote('0:MRR:16.0,21.0')] ).

cnf(23,plain,
    ~ c_is_a_knight,
    inference(mrr,[status(thm)],[17,21]),
    [iquote('0:MRR:17.1,21.0')] ).

cnf(24,plain,
    d_is_a_knight,
    inference(mrr,[status(thm)],[19,21]),
    [iquote('0:MRR:19.1,21.0')] ).

cnf(26,plain,
    $false,
    inference(mrr,[status(thm)],[10,22,24,23]),
    [iquote('0:MRR:10.0,10.1,10.2,22.0,24.0,23.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : PUZ009-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.11/0.32  % Computer : n024.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit : 300
% 0.11/0.32  % WCLimit  : 600
% 0.11/0.32  % DateTime : Sun May 29 02:56:51 EDT 2022
% 0.11/0.32  % CPUTime  : 
% 0.18/0.40  
% 0.18/0.40  SPASS V 3.9 
% 0.18/0.40  SPASS beiseite: Proof found.
% 0.18/0.40  % SZS status Theorem
% 0.18/0.40  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.40  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 14 clauses.
% 0.18/0.40  SPASS allocated 63085 KBytes.
% 0.18/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.18/0.40  		0:00:00.04 for the input.
% 0.18/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40  		0:00:00.00 for inferences.
% 0.18/0.40  		0:00:00.00 for the backtracking.
% 0.18/0.40  		0:00:00.00 for the reduction.
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  Here is a proof with depth 0, length 12 :
% 0.18/0.40  % SZS output start Refutation
% See solution above
% 0.18/0.40  Formulae used in the proof : c3 c10 c13 c16 c17 c18
% 0.18/0.40  
%------------------------------------------------------------------------------