%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 : Sun Jul 17 22:59:58 EDT 2022

% Result   : Theorem 0.18s 0.42s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   7 unt;   1 nHn;  15 RR)
%            Number of literals    :   29 (   0 equ;  18 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    6 (   5 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    dive(skc2),
    file('MSC017+1.p',unknown),
    [] ).

cnf(2,axiom,
    bad(skc3),
    file('MSC017+1.p',unknown),
    [] ).

cnf(4,axiom,
    outcome(skc2,skc3),
    file('MSC017+1.p',unknown),
    [] ).

cnf(5,axiom,
    ( ~ dive(u)
    | ~ greater(depth(u),depth_limit) ),
    file('MSC017+1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ dive(u)
    | ~ greater(time(u),time_limit) ),
    file('MSC017+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ dive(u)
    | ~ outcome(u,dci)
    | greater(nitrogen(u),nitrogen_limit) ),
    file('MSC017+1.p',unknown),
    [] ).

cnf(12,axiom,
    ( ~ bad(u)
    | ~ dive(v)
    | ~ outcome(v,u)
    | equal(u,dci) ),
    file('MSC017+1.p',unknown),
    [] ).

cnf(13,axiom,
    ( ~ dive(u)
    | ~ greater(nitrogen(u),nitrogen_limit)
    | greater(depth(u),depth_limit)
    | greater(time(u),time_limit) ),
    file('MSC017+1.p',unknown),
    [] ).

cnf(14,plain,
    ( ~ dive(u)
    | ~ greater(nitrogen(u),nitrogen_limit) ),
    inference(mrr,[status(thm)],[13,5,6]),
    [iquote('0:MRR:13.2,13.3,5.1,6.1')] ).

cnf(15,plain,
    ( ~ dive(u)
    | ~ outcome(u,dci) ),
    inference(mrr,[status(thm)],[9,14]),
    [iquote('0:MRR:9.2,14.1')] ).

cnf(17,plain,
    ~ outcome(skc2,dci),
    inference(res,[status(thm),theory(equality)],[1,15]),
    [iquote('0:Res:1.0,15.0')] ).

cnf(23,plain,
    ( ~ dive(skc2)
    | ~ bad(skc3)
    | equal(skc3,dci) ),
    inference(res,[status(thm),theory(equality)],[4,12]),
    [iquote('0:Res:4.0,12.2')] ).

cnf(24,plain,
    equal(skc3,dci),
    inference(mrr,[status(thm)],[23,1,2]),
    [iquote('0:MRR:23.0,23.1,1.0,2.0')] ).

cnf(26,plain,
    outcome(skc2,dci),
    inference(rew,[status(thm),theory(equality)],[24,4]),
    [iquote('0:Rew:24.0,4.0')] ).

cnf(27,plain,
    $false,
    inference(mrr,[status(thm)],[26,17]),
    [iquote('0:MRR:26.0,17.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : MSC017+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12  % Command  : run_spass %d %s
% 0.12/0.32  % Computer : n006.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 600
% 0.12/0.32  % DateTime : Fri Jul  1 16:06:07 EDT 2022
% 0.12/0.32  % CPUTime  : 
% 0.18/0.42  
% 0.18/0.42  SPASS V 3.9 
% 0.18/0.42  SPASS beiseite: Proof found.
% 0.18/0.42  % SZS status Theorem
% 0.18/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.42  SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 19 clauses.
% 0.18/0.42  SPASS allocated 97623 KBytes.
% 0.18/0.42  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.42  		0:00:00.04 for the input.
% 0.18/0.42  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.42  		0:00:00.00 for inferences.
% 0.18/0.42  		0:00:00.00 for the backtracking.
% 0.18/0.42  		0:00:00.00 for the reduction.
% 0.18/0.42  
% 0.18/0.42  
% 0.18/0.42  Here is a proof with depth 1, length 15 :
% 0.18/0.42  % SZS output start Refutation
% See solution above
% 0.18/0.42  Formulae used in the proof : no_bad no_deep_long too_much_nitrogen dci_is_the_only_bad_outcome depth_and_time_and_nitrogen
% 0.18/0.42  
%------------------------------------------------------------------------------