%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 0.16s 0.40s
% Output   : Refutation 0.16s
% 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+3.p',unknown),
    [] ).

cnf(2,axiom,
    function(skc11),
    file('SEU223+3.p',unknown),
    [] ).

cnf(35,axiom,
    in(skc12,relation_dom(relation_dom_restriction(skc11,skc13))),
    file('SEU223+3.p',unknown),
    [] ).

cnf(41,axiom,
    ( ~ relation(u)
    | relation(relation_dom_restriction(u,v)) ),
    file('SEU223+3.p',unknown),
    [] ).

cnf(50,axiom,
    ~ equal(apply(relation_dom_restriction(skc11,skc13),skc12),apply(skc11,skc12)),
    file('SEU223+3.p',unknown),
    [] ).

cnf(54,axiom,
    ( ~ relation(u)
    | ~ function(u)
    | function(relation_dom_restriction(u,v)) ),
    file('SEU223+3.p',unknown),
    [] ).

cnf(60,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+3.p',unknown),
    [] ).

cnf(68,plain,
    ( ~ relation(skc11)
    | function(relation_dom_restriction(skc11,u)) ),
    inference(res,[status(thm),theory(equality)],[2,54]),
    [iquote('0:Res:2.0,54.0')] ).

cnf(81,plain,
    relation(relation_dom_restriction(skc11,u)),
    inference(res,[status(thm),theory(equality)],[1,41]),
    [iquote('0:Res:1.0,41.0')] ).

cnf(95,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)],[60,50]),
    [iquote('0:Res:60.6,50.0')] ).

cnf(98,plain,
    function(relation_dom_restriction(skc11,u)),
    inference(mrr,[status(thm)],[68,1]),
    [iquote('0:MRR:68.0,1.0')] ).

cnf(106,plain,
    ~ equal(relation_dom_restriction(skc11,skc13),relation_dom_restriction(skc11,u)),
    inference(mrr,[status(thm)],[95,2,1,98,81,35]),
    [iquote('0:MRR:95.0,95.1,95.2,95.3,95.4,2.0,1.0,98.0,81.0,35.0')] ).

cnf(204,plain,
    $false,
    inference(eqr,[status(thm),theory(equality)],[106]),
    [iquote('0:EqR:106.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.11  % Problem  : SEU223+3 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.11  % Command  : run_spass %d %s
% 0.11/0.31  % Computer : n032.cluster.edu
% 0.11/0.31  % Model    : x86_64 x86_64
% 0.11/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31  % Memory   : 8042.1875MB
% 0.11/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31  % CPULimit : 300
% 0.11/0.31  % WCLimit  : 600
% 0.11/0.31  % DateTime : Sun Jun 19 16:08:03 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.40  
% 0.16/0.40  SPASS V 3.9 
% 0.16/0.40  SPASS beiseite: Proof found.
% 0.16/0.40  % SZS status Theorem
% 0.16/0.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.16/0.40  SPASS derived 119 clauses, backtracked 0 clauses, performed 1 splits and kept 98 clauses.
% 0.16/0.40  SPASS allocated 97828 KBytes.
% 0.16/0.40  SPASS spent	0:00:00.08 on the problem.
% 0.16/0.40  		0:00:00.03 for the input.
% 0.16/0.40  		0:00:00.02 for the FLOTTER CNF translation.
% 0.16/0.40  		0:00:00.00 for inferences.
% 0.16/0.40  		0:00:00.00 for the backtracking.
% 0.16/0.40  		0:00:00.00 for the reduction.
% 0.16/0.40  
% 0.16/0.40  
% 0.16/0.40  Here is a proof with depth 2, length 13 :
% 0.16/0.40  % SZS output start Refutation
% See solution above
% 0.16/0.40  Formulae used in the proof : t70_funct_1 dt_k7_relat_1 fc4_funct_1 t68_funct_1
% 0.16/0.40  
%------------------------------------------------------------------------------