%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU217+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 14:35:07 EDT 2022

% Result   : Theorem 3.05s 3.22s
% Output   : Refutation 3.05s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   17 (   0 equ;  12 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(15,axiom,
    in(skc9,skc8),
    file('SEU217+2.p',unknown),
    [] ).

cnf(17,axiom,
    relation(identity_relation(u)),
    file('SEU217+2.p',unknown),
    [] ).

cnf(18,axiom,
    function(identity_relation(u)),
    file('SEU217+2.p',unknown),
    [] ).

cnf(65,axiom,
    ~ equal(apply(identity_relation(skc8),skc9),skc9),
    file('SEU217+2.p',unknown),
    [] ).

cnf(318,axiom,
    ( ~ relation(u)
    | ~ function(u)
    | ~ in(v,w)
    | ~ equal(u,identity_relation(w))
    | equal(apply(u,v),v) ),
    file('SEU217+2.p',unknown),
    [] ).

cnf(487,plain,
    ( ~ function(identity_relation(skc8))
    | ~ relation(identity_relation(skc8))
    | ~ in(skc9,u)
    | ~ equal(identity_relation(skc8),identity_relation(u)) ),
    inference(res,[status(thm),theory(equality)],[318,65]),
    [iquote('0:Res:318.4,65.0')] ).

cnf(523,plain,
    ( ~ in(skc9,u)
    | ~ equal(identity_relation(skc8),identity_relation(u)) ),
    inference(mrr,[status(thm)],[487,18,17]),
    [iquote('0:MRR:487.0,487.1,18.0,17.0')] ).

cnf(531,plain,
    ~ equal(identity_relation(skc8),identity_relation(skc8)),
    inference(res,[status(thm),theory(equality)],[15,523]),
    [iquote('0:Res:15.0,523.0')] ).

cnf(545,plain,
    $false,
    inference(obv,[status(thm),theory(equality)],[531]),
    [iquote('0:Obv:531.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14  % Problem  : SEU217+2 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.36  % Computer : n013.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 23:59:59 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 3.05/3.22  
% 3.05/3.22  SPASS V 3.9 
% 3.05/3.22  SPASS beiseite: Proof found.
% 3.05/3.22  % SZS status Theorem
% 3.05/3.22  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 3.05/3.22  SPASS derived 97 clauses, backtracked 0 clauses, performed 0 splits and kept 435 clauses.
% 3.05/3.22  SPASS allocated 109470 KBytes.
% 3.05/3.22  SPASS spent	0:00:02.84 on the problem.
% 3.05/3.22  		0:00:00.04 for the input.
% 3.05/3.22  		0:00:02.71 for the FLOTTER CNF translation.
% 3.05/3.22  		0:00:00.00 for inferences.
% 3.05/3.22  		0:00:00.00 for the backtracking.
% 3.05/3.22  		0:00:00.04 for the reduction.
% 3.05/3.22  
% 3.05/3.22  
% 3.05/3.22  Here is a proof with depth 2, length 9 :
% 3.05/3.22  % SZS output start Refutation
% See solution above
% 3.05/3.22  Formulae used in the proof : t35_funct_1 fc2_funct_1 t34_funct_1
% 3.05/3.22  
%------------------------------------------------------------------------------