%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SYN068-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n011.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 12:18:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.39s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    8 (   3 unt;   0 nHn;   8 RR)
%            Number of literals    :   13 (   0 equ;   7 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    3 (   3 usr;   2 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ( ~ big(u)
    | big_g(g(u)) ),
    file('SYN068-1.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ big(u)
    | ~ big_h(u,g(u)) ),
    file('SYN068-1.p',unknown),
    [] ).

cnf(5,axiom,
    big_j(a),
    file('SYN068-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ big_g(u)
    | big_h(a,u) ),
    file('SYN068-1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ big_j(u)
    | big(u) ),
    file('SYN068-1.p',unknown),
    [] ).

cnf(8,plain,
    big(a),
    inference(res,[status(thm),theory(equality)],[5,7]),
    [iquote('0:Res:5.0,7.0')] ).

cnf(14,plain,
    ( ~ big_g(g(a))
    | ~ big(a) ),
    inference(res,[status(thm),theory(equality)],[6,4]),
    [iquote('0:Res:6.1,4.1')] ).

cnf(15,plain,
    $false,
    inference(ssi,[status(thm)],[14,5,8,3]),
    [iquote('0:SSi:14.1,14.0,5.0,8.0,3.1,5.0,8.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SYN068-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n011.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 : Mon Jul 11 22:25:12 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.39  
% 0.19/0.39  SPASS V 3.9 
% 0.19/0.39  SPASS beiseite: Proof found.
% 0.19/0.39  % SZS status Theorem
% 0.19/0.39  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.39  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 9 clauses.
% 0.19/0.39  SPASS allocated 75588 KBytes.
% 0.19/0.39  SPASS spent	0:00:00.05 on the problem.
% 0.19/0.39  		0:00:00.03 for the input.
% 0.19/0.39  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.39  		0:00:00.00 for inferences.
% 0.19/0.39  		0:00:00.00 for the backtracking.
% 0.19/0.39  		0:00:00.00 for the reduction.
% 0.19/0.39  
% 0.19/0.39  
% 0.19/0.39  Here is a proof with depth 1, length 8 :
% 0.19/0.39  % SZS output start Refutation
% See solution above
% 0.19/0.39  Formulae used in the proof : clause_3 clause_4 clause_5 clause_6 clause_7
% 0.19/0.39  
%------------------------------------------------------------------------------