%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n025.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 18:27:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.41s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   13 (   8 unt;   1 nHn;  13 RR)
%            Number of literals    :   23 (   0 equ;  11 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    0 (   0 avg)
%            Number of predicates  :    8 (   7 usr;   8 prp; 0-0 aty)
%            Number of functors    :    0 (   0 usr;   0 con; --- aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ some_english_sing
    | ~ some_english_sing_not
    | some_monitors_are_awake ),
    file('PUZ013-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ some_scotch_dance_not
    | ~ some_irish_fight_not
    | some_germans_play ),
    file('PUZ013-1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ some_english_sing
    | ~ some_scotch_dance_not
    | ~ some_germans_play
    | some_english_sing_not ),
    file('PUZ013-1.p',unknown),
    [] ).

cnf(10,axiom,
    ( ~ some_english_sing
    | ~ some_monitors_are_not_awake
    | some_irish_fight_not ),
    file('PUZ013-1.p',unknown),
    [] ).

cnf(13,axiom,
    ( some_monitors_are_not_awake
    | some_monitors_are_awake ),
    file('PUZ013-1.p',unknown),
    [] ).

cnf(18,axiom,
    some_english_sing,
    file('PUZ013-1.p',unknown),
    [] ).

cnf(19,axiom,
    some_scotch_dance_not,
    file('PUZ013-1.p',unknown),
    [] ).

cnf(20,axiom,
    ~ some_monitors_are_awake,
    file('PUZ013-1.p',unknown),
    [] ).

cnf(21,plain,
    some_monitors_are_not_awake,
    inference(mrr,[status(thm)],[13,20]),
    [iquote('0:MRR:13.1,20.0')] ).

cnf(23,plain,
    some_irish_fight_not,
    inference(mrr,[status(thm)],[10,18,21]),
    [iquote('0:MRR:10.0,10.1,18.0,21.0')] ).

cnf(24,plain,
    some_germans_play,
    inference(mrr,[status(thm)],[6,19,23]),
    [iquote('0:MRR:6.0,6.1,19.0,23.0')] ).

cnf(26,plain,
    ~ some_english_sing_not,
    inference(mrr,[status(thm)],[1,18,20]),
    [iquote('0:MRR:1.0,1.2,18.0,20.0')] ).

cnf(27,plain,
    $false,
    inference(mrr,[status(thm)],[9,18,19,24,26]),
    [iquote('0:MRR:9.0,9.1,9.2,9.3,18.0,19.0,24.0,26.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ013-1 : TPTP v8.1.0. Released v1.0.0.
% 0.07/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n025.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Sun May 29 00:43:56 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.41  
% 0.19/0.41  SPASS V 3.9 
% 0.19/0.41  SPASS beiseite: Proof found.
% 0.19/0.41  % SZS status Theorem
% 0.19/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.41  SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 16 clauses.
% 0.19/0.41  SPASS allocated 63135 KBytes.
% 0.19/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.41  		0:00:00.04 for the input.
% 0.19/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.41  		0:00:00.00 for inferences.
% 0.19/0.41  		0:00:00.00 for the backtracking.
% 0.19/0.41  		0:00:00.00 for the reduction.
% 0.19/0.41  
% 0.19/0.41  
% 0.19/0.41  Here is a proof with depth 0, length 13 :
% 0.19/0.41  % SZS output start Refutation
% See solution above
% 0.19/0.41  Formulae used in the proof : c1 c6 c9 c10 c13 c18 c19 prove_some_monitors_are_awake
% 0.19/0.41  
%------------------------------------------------------------------------------