%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n022.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 14:34:29 EDT 2022

% Result   : Theorem 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   4 unt;   1 nHn;   8 RR)
%            Number of literals    :   12 (   0 equ;   5 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(4,axiom,
    ( subset(singleton(skc4),skc5)
    | in(skc4,skc5) ),
    file('SEU158+3.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ subset(singleton(u),v)
    | in(u,v) ),
    file('SEU158+3.p',unknown),
    [] ).

cnf(7,axiom,
    ( ~ in(u,v)
    | subset(singleton(u),v) ),
    file('SEU158+3.p',unknown),
    [] ).

cnf(8,axiom,
    ( ~ subset(singleton(skc4),skc5)
    | ~ in(skc4,skc5) ),
    file('SEU158+3.p',unknown),
    [] ).

cnf(9,plain,
    subset(singleton(skc4),skc5),
    inference(mrr,[status(thm)],[4,7]),
    [iquote('0:MRR:4.1,7.0')] ).

cnf(10,plain,
    ~ in(skc4,skc5),
    inference(mrr,[status(thm)],[8,9]),
    [iquote('0:MRR:8.0,9.0')] ).

cnf(11,plain,
    in(skc4,skc5),
    inference(res,[status(thm),theory(equality)],[9,6]),
    [iquote('0:Res:9.0,6.0')] ).

cnf(13,plain,
    $false,
    inference(mrr,[status(thm)],[11,10]),
    [iquote('0:MRR:11.0,10.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11  % Problem  : SEU158+3 : TPTP v8.1.0. Released v3.2.0.
% 0.02/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n022.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jun 19 04:50:16 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.43  
% 0.18/0.43  SPASS V 3.9 
% 0.18/0.43  SPASS beiseite: Proof found.
% 0.18/0.43  % SZS status Theorem
% 0.18/0.43  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.43  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 10 clauses.
% 0.18/0.43  SPASS allocated 85090 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.09 on the problem.
% 0.18/0.43  		0:00:00.04 for the input.
% 0.18/0.43  		0:00:00.03 for the FLOTTER CNF translation.
% 0.18/0.43  		0:00:00.00 for inferences.
% 0.18/0.43  		0:00:00.00 for the backtracking.
% 0.18/0.43  		0:00:00.00 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 1, length 8 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : t37_zfmisc_1 l2_zfmisc_1
% 0.18/0.43  
%------------------------------------------------------------------------------