%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU219+2 : 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 14:35:09 EDT 2022

% Result   : Theorem 3.23s 3.40s
% Output   : Refutation 3.23s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   14 (   7 unt;   0 nHn;  14 RR)
%            Number of literals    :   24 (   0 equ;  13 neg)
%            Maximal clause size   :    4 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   2 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc9),
    file('SEU219+2.p',unknown),
    [] ).

cnf(2,axiom,
    function(skc9),
    file('SEU219+2.p',unknown),
    [] ).

cnf(3,axiom,
    one_to_one(skc9),
    file('SEU219+2.p',unknown),
    [] ).

cnf(139,axiom,
    ( ~ relation(u)
    | equal(relation_dom(relation_inverse(u)),relation_rng(u)) ),
    file('SEU219+2.p',unknown),
    [] ).

cnf(140,axiom,
    ( ~ relation(u)
    | equal(relation_rng(relation_inverse(u)),relation_dom(u)) ),
    file('SEU219+2.p',unknown),
    [] ).

cnf(256,axiom,
    ( ~ equal(relation_dom(function_inverse(skc9)),relation_rng(skc9))
    | ~ equal(relation_rng(function_inverse(skc9)),relation_dom(skc9)) ),
    file('SEU219+2.p',unknown),
    [] ).

cnf(265,axiom,
    ( ~ one_to_one(u)
    | ~ function(u)
    | ~ relation(u)
    | equal(function_inverse(u),relation_inverse(u)) ),
    file('SEU219+2.p',unknown),
    [] ).

cnf(458,plain,
    ( ~ relation(skc9)
    | ~ function(skc9)
    | equal(function_inverse(skc9),relation_inverse(skc9)) ),
    inference(res,[status(thm),theory(equality)],[3,265]),
    [iquote('0:Res:3.0,265.2')] ).

cnf(626,plain,
    equal(relation_dom(relation_inverse(skc9)),relation_rng(skc9)),
    inference(res,[status(thm),theory(equality)],[1,139]),
    [iquote('0:Res:1.0,139.0')] ).

cnf(627,plain,
    equal(relation_rng(relation_inverse(skc9)),relation_dom(skc9)),
    inference(res,[status(thm),theory(equality)],[1,140]),
    [iquote('0:Res:1.0,140.0')] ).

cnf(695,plain,
    equal(function_inverse(skc9),relation_inverse(skc9)),
    inference(mrr,[status(thm)],[458,1,2]),
    [iquote('0:MRR:458.0,458.1,1.0,2.0')] ).

cnf(696,plain,
    ( ~ equal(relation_dom(relation_inverse(skc9)),relation_rng(skc9))
    | ~ equal(relation_rng(function_inverse(skc9)),relation_dom(skc9)) ),
    inference(rew,[status(thm),theory(equality)],[695,256]),
    [iquote('0:Rew:695.0,256.0')] ).

cnf(703,plain,
    ( ~ equal(relation_rng(skc9),relation_rng(skc9))
    | ~ equal(relation_dom(skc9),relation_dom(skc9)) ),
    inference(rew,[status(thm),theory(equality)],[627,696,695,626]),
    [iquote('0:Rew:627.0,696.1,695.0,696.1,626.0,696.0')] ).

cnf(704,plain,
    $false,
    inference(obv,[status(thm),theory(equality)],[703]),
    [iquote('0:Obv:703.1')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SEU219+2 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.13  % 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 : Sun Jun 19 19:32:43 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 3.23/3.40  
% 3.23/3.40  SPASS V 3.9 
% 3.23/3.40  SPASS beiseite: Proof found.
% 3.23/3.40  % SZS status Theorem
% 3.23/3.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 3.23/3.40  SPASS derived 242 clauses, backtracked 0 clauses, performed 0 splits and kept 456 clauses.
% 3.23/3.40  SPASS allocated 109820 KBytes.
% 3.23/3.40  SPASS spent	0:00:03.04 on the problem.
% 3.23/3.40  		0:00:00.04 for the input.
% 3.23/3.40  		0:00:02.88 for the FLOTTER CNF translation.
% 3.23/3.40  		0:00:00.00 for inferences.
% 3.23/3.40  		0:00:00.00 for the backtracking.
% 3.23/3.40  		0:00:00.05 for the reduction.
% 3.23/3.40  
% 3.23/3.40  
% 3.23/3.40  Here is a proof with depth 1, length 14 :
% 3.23/3.40  % SZS output start Refutation
% See solution above
% 3.23/3.40  Formulae used in the proof : t55_funct_1 t37_relat_1 d9_funct_1
% 3.23/3.40  
%------------------------------------------------------------------------------