%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 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 14:34:55 EDT 2022

% Result   : Theorem 0.15s 0.42s
% Output   : Refutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   10 (   4 unt;   3 nHn;  10 RR)
%            Number of literals    :   19 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    relation(skc6),
    file('SEU198+1.p',unknown),
    [] ).

cnf(22,axiom,
    ~ subset(relation_rng(relation_rng_restriction(skc7,skc6)),skc7),
    file('SEU198+1.p',unknown),
    [] ).

cnf(27,axiom,
    ( subset(u,v)
    | in(skf4(v,u),u) ),
    file('SEU198+1.p',unknown),
    [] ).

cnf(30,axiom,
    ( ~ in(skf4(u,v),u)
    | subset(w,u) ),
    file('SEU198+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ relation(u)
    | ~ in(v,relation_rng(relation_rng_restriction(w,u)))
    | in(v,w) ),
    file('SEU198+1.p',unknown),
    [] ).

cnf(166,plain,
    ( ~ relation(u)
    | subset(relation_rng(relation_rng_restriction(v,u)),w)
    | in(skf4(w,relation_rng(relation_rng_restriction(v,u))),v) ),
    inference(res,[status(thm),theory(equality)],[27,37]),
    [iquote('0:Res:27.1,37.1')] ).

cnf(633,plain,
    ( ~ relation(u)
    | subset(relation_rng(relation_rng_restriction(v,u)),v)
    | subset(w,v) ),
    inference(res,[status(thm),theory(equality)],[166,30]),
    [iquote('0:Res:166.2,30.0')] ).

cnf(647,plain,
    ( ~ relation(u)
    | subset(relation_rng(relation_rng_restriction(v,u)),v) ),
    inference(con,[status(thm)],[633]),
    [iquote('0:Con:633.2')] ).

cnf(854,plain,
    ~ relation(skc6),
    inference(res,[status(thm),theory(equality)],[647,22]),
    [iquote('0:Res:647.1,22.0')] ).

cnf(858,plain,
    $false,
    inference(ssi,[status(thm)],[854,1]),
    [iquote('0:SSi:854.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem  : SEU198+1 : TPTP v8.1.0. Released v3.3.0.
% 0.02/0.10  % Command  : run_spass %d %s
% 0.10/0.30  % Computer : n032.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sun Jun 19 21:22:03 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.15/0.42  
% 0.15/0.42  SPASS V 3.9 
% 0.15/0.42  SPASS beiseite: Proof found.
% 0.15/0.42  % SZS status Theorem
% 0.15/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.15/0.42  SPASS derived 697 clauses, backtracked 24 clauses, performed 1 splits and kept 340 clauses.
% 0.15/0.42  SPASS allocated 98199 KBytes.
% 0.15/0.42  SPASS spent	0:00:00.11 on the problem.
% 0.15/0.42  		0:00:00.03 for the input.
% 0.15/0.42  		0:00:00.02 for the FLOTTER CNF translation.
% 0.15/0.42  		0:00:00.01 for inferences.
% 0.15/0.42  		0:00:00.00 for the backtracking.
% 0.15/0.42  		0:00:00.03 for the reduction.
% 0.15/0.42  
% 0.15/0.42  
% 0.15/0.42  Here is a proof with depth 3, length 10 :
% 0.15/0.42  % SZS output start Refutation
% See solution above
% 0.15/0.42  Formulae used in the proof : t116_relat_1 d3_tarski t115_relat_1
% 0.15/0.42  
%------------------------------------------------------------------------------