%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU188+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n020.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 : Tue Jul 19 14:34:50 EDT 2022

% Result   : Theorem 1.27s 1.46s
% Output   : Refutation 1.27s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   19 (  13 unt;   1 nHn;  19 RR)
%            Number of literals    :   27 (   0 equ;  14 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc5),
    file('SEU188+2.p',unknown),
    [] ).

cnf(3,axiom,
    empty(empty_set),
    file('SEU188+2.p',unknown),
    [] ).

cnf(14,axiom,
    ~ equal(empty_set,skc5),
    file('SEU188+2.p',unknown),
    [] ).

cnf(52,axiom,
    ( ~ empty(u)
    | equal(u,empty_set) ),
    file('SEU188+2.p',unknown),
    [] ).

cnf(69,axiom,
    ( equal(relation_rng(skc5),empty_set)
    | equal(relation_dom(skc5),empty_set) ),
    file('SEU188+2.p',unknown),
    [] ).

cnf(99,axiom,
    ( ~ relation(u)
    | ~ empty(relation_dom(u))
    | empty(u) ),
    file('SEU188+2.p',unknown),
    [] ).

cnf(100,axiom,
    ( ~ relation(u)
    | ~ empty(relation_rng(u))
    | empty(u) ),
    file('SEU188+2.p',unknown),
    [] ).

cnf(324,plain,
    ( ~ empty(relation_dom(skc5))
    | empty(skc5) ),
    inference(res,[status(thm),theory(equality)],[1,99]),
    [iquote('0:Res:1.0,99.0')] ).

cnf(325,plain,
    ( ~ empty(relation_rng(skc5))
    | empty(skc5) ),
    inference(res,[status(thm),theory(equality)],[1,100]),
    [iquote('0:Res:1.0,100.0')] ).

cnf(378,plain,
    ~ empty(skc5),
    inference(res,[status(thm),theory(equality)],[52,14]),
    [iquote('0:Res:52.1,14.0')] ).

cnf(396,plain,
    ~ empty(relation_dom(skc5)),
    inference(mrr,[status(thm)],[324,378]),
    [iquote('0:MRR:324.1,378.0')] ).

cnf(397,plain,
    ~ empty(relation_rng(skc5)),
    inference(mrr,[status(thm)],[325,378]),
    [iquote('0:MRR:325.1,378.0')] ).

cnf(483,plain,
    equal(relation_rng(skc5),empty_set),
    inference(spt,[spt(split,[position(s1)])],[69]),
    [iquote('1:Spt:69.0')] ).

cnf(488,plain,
    ~ empty(empty_set),
    inference(rew,[status(thm),theory(equality)],[483,397]),
    [iquote('1:Rew:483.0,397.0')] ).

cnf(502,plain,
    $false,
    inference(mrr,[status(thm)],[488,3]),
    [iquote('1:MRR:488.0,3.0')] ).

cnf(511,plain,
    ~ equal(relation_rng(skc5),empty_set),
    inference(spt,[spt(split,[position(sa)])],[502,483]),
    [iquote('1:Spt:502.0,69.0,483.0')] ).

cnf(512,plain,
    equal(relation_dom(skc5),empty_set),
    inference(spt,[spt(split,[position(s2)])],[69]),
    [iquote('1:Spt:502.0,69.1')] ).

cnf(516,plain,
    ~ empty(empty_set),
    inference(rew,[status(thm),theory(equality)],[512,396]),
    [iquote('1:Rew:512.0,396.0')] ).

cnf(523,plain,
    $false,
    inference(mrr,[status(thm)],[516,3]),
    [iquote('1:MRR:516.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11  % Problem  : SEU188+2 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n020.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 : Sun Jun 19 23:06:03 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 1.27/1.46  
% 1.27/1.46  SPASS V 3.9 
% 1.27/1.46  SPASS beiseite: Proof found.
% 1.27/1.46  % SZS status Theorem
% 1.27/1.46  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 1.27/1.46  SPASS derived 208 clauses, backtracked 22 clauses, performed 1 splits and kept 429 clauses.
% 1.27/1.46  SPASS allocated 104391 KBytes.
% 1.27/1.46  SPASS spent	0:00:01.11 on the problem.
% 1.27/1.46  		0:00:00.04 for the input.
% 1.27/1.46  		0:00:00.97 for the FLOTTER CNF translation.
% 1.27/1.46  		0:00:00.00 for inferences.
% 1.27/1.46  		0:00:00.00 for the backtracking.
% 1.27/1.46  		0:00:00.03 for the reduction.
% 1.27/1.46  
% 1.27/1.46  
% 1.27/1.46  Here is a proof with depth 1, length 19 :
% 1.27/1.46  % SZS output start Refutation
% See solution above
% 1.27/1.46  Formulae used in the proof : t64_relat_1 fc4_relat_1 t6_boole fc5_relat_1 fc6_relat_1
% 1.27/1.46  
%------------------------------------------------------------------------------