%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN095-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n012.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 : Thu Jul 21 12:18:34 EDT 2022

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :   10 (   0 equ;   6 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    4 (   3 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(2,axiom,
    ( ~ q_2_2(u)
    | ~ q_1_1(u)
    | p_1_2(u) ),
    file('SYN095-1.002.p',unknown),
    [] ).

cnf(10,axiom,
    q_1_1(a),
    file('SYN095-1.002.p',unknown),
    [] ).

cnf(12,axiom,
    q_2_2(a),
    file('SYN095-1.002.p',unknown),
    [] ).

cnf(13,axiom,
    ~ p_1_2(u),
    file('SYN095-1.002.p',unknown),
    [] ).

cnf(14,plain,
    ( ~ q_1_1(u)
    | ~ q_2_2(u) ),
    inference(mrr,[status(thm)],[2,13]),
    [iquote('0:MRR:2.2,13.0')] ).

cnf(16,plain,
    ~ q_1_1(a),
    inference(res,[status(thm),theory(equality)],[12,14]),
    [iquote('0:Res:12.0,14.0')] ).

cnf(20,plain,
    $false,
    inference(mrr,[status(thm)],[16,10]),
    [iquote('0:MRR:16.0,10.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SYN095-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.02/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n012.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Tue Jul 12 05:39:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.41  
% 0.18/0.41  SPASS V 3.9 
% 0.18/0.41  SPASS beiseite: Proof found.
% 0.18/0.41  % SZS status Theorem
% 0.18/0.41  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.41  SPASS derived 4 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.18/0.41  SPASS allocated 75592 KBytes.
% 0.18/0.41  SPASS spent	0:00:00.06 on the problem.
% 0.18/0.41  		0:00:00.04 for the input.
% 0.18/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41  		0:00:00.00 for inferences.
% 0.18/0.41  		0:00:00.00 for the backtracking.
% 0.18/0.41  		0:00:00.00 for the reduction.
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Here is a proof with depth 1, length 7 :
% 0.18/0.41  % SZS output start Refutation
% See solution above
% 0.18/0.41  Formulae used in the proof : m_s2_type11_2 m_t2_2 m_t2_4 m_s2_goal_1
% 0.18/0.41  
%------------------------------------------------------------------------------