%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n017.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 14:36:03 EDT 2022

% Result   : Theorem 0.20s 0.43s
% Output   : Refutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   12 (   7 unt;   0 nHn;  12 RR)
%            Number of literals    :   20 (   0 equ;   9 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc2),
    file('SEU303+1.p',unknown),
    [] ).

cnf(2,axiom,
    function(skc2),
    file('SEU303+1.p',unknown),
    [] ).

cnf(5,axiom,
    finite(relation_dom(skc2)),
    file('SEU303+1.p',unknown),
    [] ).

cnf(6,axiom,
    ~ finite(relation_rng(skc2)),
    file('SEU303+1.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ relation(u)
    | equal(relation_image(u,relation_dom(u)),relation_rng(u)) ),
    file('SEU303+1.p',unknown),
    [] ).

cnf(9,axiom,
    ( ~ relation(u)
    | ~ function(u)
    | ~ finite(v)
    | finite(relation_image(u,v)) ),
    file('SEU303+1.p',unknown),
    [] ).

cnf(10,plain,
    ( ~ finite(u)
    | ~ relation(skc2)
    | finite(relation_image(skc2,u)) ),
    inference(res,[status(thm),theory(equality)],[2,9]),
    [iquote('0:Res:2.0,9.1')] ).

cnf(11,plain,
    equal(relation_image(skc2,relation_dom(skc2)),relation_rng(skc2)),
    inference(res,[status(thm),theory(equality)],[1,7]),
    [iquote('0:Res:1.0,7.0')] ).

cnf(14,plain,
    ( ~ finite(u)
    | finite(relation_image(skc2,u)) ),
    inference(mrr,[status(thm)],[10,1]),
    [iquote('0:MRR:10.1,1.0')] ).

cnf(17,plain,
    ( ~ finite(relation_dom(skc2))
    | finite(relation_rng(skc2)) ),
    inference(spr,[status(thm),theory(equality)],[11,14]),
    [iquote('0:SpR:11.0,14.1')] ).

cnf(18,plain,
    finite(relation_rng(skc2)),
    inference(ssi,[status(thm)],[17,5]),
    [iquote('0:SSi:17.0,5.0')] ).

cnf(19,plain,
    $false,
    inference(mrr,[status(thm)],[18,6]),
    [iquote('0:MRR:18.0,6.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU303+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sat Jun 18 18:46:27 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.20/0.43  
% 0.20/0.43  SPASS V 3.9 
% 0.20/0.43  SPASS beiseite: Proof found.
% 0.20/0.43  % SZS status Theorem
% 0.20/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.20/0.43  SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 11 clauses.
% 0.20/0.43  SPASS allocated 97575 KBytes.
% 0.20/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.20/0.43  		0:00:00.03 for the input.
% 0.20/0.43  		0:00:00.02 for the FLOTTER CNF translation.
% 0.20/0.43  		0:00:00.00 for inferences.
% 0.20/0.43  		0:00:00.00 for the backtracking.
% 0.20/0.43  		0:00:00.00 for the reduction.
% 0.20/0.43  
% 0.20/0.43  
% 0.20/0.43  Here is a proof with depth 2, length 12 :
% 0.20/0.43  % SZS output start Refutation
% See solution above
% 0.20/0.43  Formulae used in the proof : t26_finset_1 t146_relat_1 t17_finset_1
% 0.20/0.43  
%------------------------------------------------------------------------------