%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 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 : Thu Jul 21 12:18:36 EDT 2022

% Result   : Unsatisfiable 0.20s 0.42s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    8
% Syntax   : Number of clauses     :   15 (   9 unt;   4 nHn;  15 RR)
%            Number of literals    :   24 (   0 equ;  11 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of predicates  :    8 (   7 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(25,axiom,
    sym_p_1_3(u),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(29,axiom,
    ( ~ sym_p_1_3(u)
    | sym_q_2_3(u)
    | sym_q_1_2(u) ),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(33,axiom,
    ( ~ sym_q_1_2(u)
    | sym_p_1_1(u)
    | sym_q_2_2(u) ),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ sym_q_2_3(u)
    | sym_p_2_2(u)
    | sym_q_3_3(u) ),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(44,axiom,
    ~ sym_p_1_1(a),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(46,axiom,
    ~ sym_p_2_2(a),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(47,axiom,
    ~ sym_q_2_2(a),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(49,axiom,
    ~ sym_q_3_3(a),
    file('SYN099-1.003.p',unknown),
    [] ).

cnf(51,plain,
    ( sym_q_1_2(u)
    | sym_q_2_3(u) ),
    inference(mrr,[status(thm)],[29,25]),
    [iquote('0:MRR:29.0,25.0')] ).

cnf(108,plain,
    ( ~ sym_q_2_3(a)
    | sym_q_3_3(a) ),
    inference(res,[status(thm),theory(equality)],[37,46]),
    [iquote('0:Res:37.1,46.0')] ).

cnf(109,plain,
    ~ sym_q_2_3(a),
    inference(mrr,[status(thm)],[108,49]),
    [iquote('0:MRR:108.1,49.0')] ).

cnf(116,plain,
    ( ~ sym_q_1_2(a)
    | sym_p_1_1(a) ),
    inference(res,[status(thm),theory(equality)],[33,47]),
    [iquote('0:Res:33.2,47.0')] ).

cnf(117,plain,
    ~ sym_q_1_2(a),
    inference(mrr,[status(thm)],[116,44]),
    [iquote('0:MRR:116.1,44.0')] ).

cnf(118,plain,
    sym_q_2_3(a),
    inference(sor,[status(thm)],[117,51]),
    [iquote('0:SoR:117.0,51.0')] ).

cnf(122,plain,
    $false,
    inference(mrr,[status(thm)],[118,109]),
    [iquote('0:MRR:118.0,109.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SYN099-1.003 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n024.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34  % CPULimit : 300
% 0.14/0.34  % WCLimit  : 600
% 0.14/0.34  % DateTime : Mon Jul 11 22:28:13 EDT 2022
% 0.14/0.34  % CPUTime  : 
% 0.20/0.42  
% 0.20/0.42  SPASS V 3.9 
% 0.20/0.42  SPASS beiseite: Proof found.
% 0.20/0.42  % SZS status Theorem
% 0.20/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.20/0.42  SPASS derived 11 clauses, backtracked 0 clauses, performed 0 splits and kept 58 clauses.
% 0.20/0.42  SPASS allocated 75700 KBytes.
% 0.20/0.42  SPASS spent	0:00:00.07 on the problem.
% 0.20/0.42  		0:00:00.04 for the input.
% 0.20/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.20/0.42  		0:00:00.00 for inferences.
% 0.20/0.42  		0:00:00.00 for the backtracking.
% 0.20/0.42  		0:00:00.00 for the reduction.
% 0.20/0.42  
% 0.20/0.42  
% 0.20/0.42  Here is a proof with depth 2, length 15 :
% 0.20/0.42  % SZS output start Refutation
% See solution above
% 0.20/0.42  Formulae used in the proof : sym_m_s2_goal_1 sym_m_s2_type11_4 sym_m_s2_type12_2 sym_m_s2_type12_6 sym_m_t2_1 sym_m_t2_3 sym_m_t2_4 sym_m_t2_6
% 0.20/0.42  
%------------------------------------------------------------------------------