%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n009.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 14:35:12 EDT 2022

% Result   : Theorem 0.19s 0.45s
% Output   : Refutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of clauses     :   13 (   8 unt;   0 nHn;  13 RR)
%            Number of literals    :   28 (   0 equ;  18 neg)
%            Maximal clause size   :    7 (   2 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc11),
    file('SEU223+1.p',unknown),
    [] ).

cnf(2,axiom,
    function(skc11),
    file('SEU223+1.p',unknown),
    [] ).

cnf(30,axiom,
    in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))),
    file('SEU223+1.p',unknown),
    [] ).

cnf(35,axiom,
    ( ~ relation(u)
    | relation(relation_dom_restriction(u,v)) ),
    file('SEU223+1.p',unknown),
    [] ).

cnf(42,axiom,
    ~ equal(apply(relation_dom_restriction(skc11,skc13),skc12),apply(skc11,skc12)),
    file('SEU223+1.p',unknown),
    [] ).

cnf(46,axiom,
    ( ~ relation(u)
    | ~ function(u)
    | function(relation_dom_restriction(u,v)) ),
    file('SEU223+1.p',unknown),
    [] ).

cnf(50,axiom,
    ( ~ relation(u)
    | ~ function(u)
    | ~ relation(v)
    | ~ function(v)
    | ~ in(w,relation_dom(u))
    | ~ equal(u,relation_dom_restriction(v,x))
    | equal(apply(u,w),apply(v,w)) ),
    file('SEU223+1.p',unknown),
    [] ).

cnf(58,plain,
    ( ~ relation(skc11)
    | function(relation_dom_restriction(skc11,u)) ),
    inference(res,[status(thm),theory(equality)],[2,46]),
    [iquote('0:Res:2.0,46.0')] ).

cnf(71,plain,
    relation(relation_dom_restriction(skc11,u)),
    inference(res,[status(thm),theory(equality)],[1,35]),
    [iquote('0:Res:1.0,35.0')] ).

cnf(83,plain,
    ( ~ function(skc11)
    | ~ relation(skc11)
    | ~ function(relation_dom_restriction(skc11,skc13))
    | ~ relation(relation_dom_restriction(skc11,skc13))
    | ~ in(skc12,relation_dom(relation_dom_restriction(skc11,skc13)))
    | ~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,u)) ),
    inference(res,[status(thm),theory(equality)],[50,42]),
    [iquote('0:Res:50.6,42.0')] ).

cnf(86,plain,
    function(relation_dom_restriction(skc11,u)),
    inference(mrr,[status(thm)],[58,1]),
    [iquote('0:MRR:58.0,1.0')] ).

cnf(94,plain,
    ~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,u)),
    inference(mrr,[status(thm)],[83,2,1,86,71,30]),
    [iquote('0:MRR:83.0,83.1,83.2,83.3,83.4,2.0,1.0,86.0,71.0,30.0')] ).

cnf(184,plain,
    $false,
    inference(eqr,[status(thm),theory(equality)],[94]),
    [iquote('0:EqR:94.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : SEU223+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : run_spass %d %s
% 0.12/0.34  % Computer : n009.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 09:41:37 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.19/0.45  
% 0.19/0.45  SPASS V 3.9 
% 0.19/0.45  SPASS beiseite: Proof found.
% 0.19/0.45  % SZS status Theorem
% 0.19/0.45  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.45  SPASS derived 109 clauses, backtracked 0 clauses, performed 1 splits and kept 84 clauses.
% 0.19/0.45  SPASS allocated 97798 KBytes.
% 0.19/0.45  SPASS spent	0:00:00.10 on the problem.
% 0.19/0.45  		0:00:00.03 for the input.
% 0.19/0.45  		0:00:00.03 for the FLOTTER CNF translation.
% 0.19/0.45  		0:00:00.00 for inferences.
% 0.19/0.45  		0:00:00.00 for the backtracking.
% 0.19/0.45  		0:00:00.00 for the reduction.
% 0.19/0.45  
% 0.19/0.45  
% 0.19/0.45  Here is a proof with depth 2, length 13 :
% 0.19/0.45  % SZS output start Refutation
% See solution above
% 0.19/0.45  Formulae used in the proof : t70_funct_1 dt_k7_relat_1 fc4_funct_1 t68_funct_1
% 0.19/0.45  
%------------------------------------------------------------------------------