%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n016.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 05:23:52 EDT 2022

% Result   : Theorem 0.21s 0.50s
% Output   : Refutation 0.21s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    8 (   5 unt;   2 nHn;   8 RR)
%            Number of literals    :   11 (   0 equ;   4 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(8,axiom,
    ~ equal(member_of(skc3),skc3),
    file('SET091+1.p',unknown),
    [] ).

cnf(22,axiom,
    ( equal(member_of(u),u)
    | member(member_of(u),universal_class) ),
    file('SET091+1.p',unknown),
    [] ).

cnf(37,axiom,
    ( ~ member(u,universal_class)
    | ~ equal(singleton(u),skc3) ),
    file('SET091+1.p',unknown),
    [] ).

cnf(39,axiom,
    ( equal(member_of(u),u)
    | equal(singleton(member_of(u)),u) ),
    file('SET091+1.p',unknown),
    [] ).

cnf(96,plain,
    equal(singleton(member_of(skc3)),skc3),
    inference(res,[status(thm),theory(equality)],[39,8]),
    [iquote('0:Res:39.1,8.0')] ).

cnf(97,plain,
    member(member_of(skc3),universal_class),
    inference(res,[status(thm),theory(equality)],[22,8]),
    [iquote('0:Res:22.1,8.0')] ).

cnf(111,plain,
    ~ member(member_of(skc3),universal_class),
    inference(res,[status(thm),theory(equality)],[96,37]),
    [iquote('0:Res:96.0,37.1')] ).

cnf(112,plain,
    $false,
    inference(mrr,[status(thm)],[111,97]),
    [iquote('0:MRR:111.0,97.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SET091+1 : TPTP v8.1.0. Bugfixed v7.3.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n016.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Sun Jul 10 09:58:56 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.21/0.50  
% 0.21/0.50  SPASS V 3.9 
% 0.21/0.50  SPASS beiseite: Proof found.
% 0.21/0.50  % SZS status Theorem
% 0.21/0.50  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.50  SPASS derived 10 clauses, backtracked 0 clauses, performed 0 splits and kept 101 clauses.
% 0.21/0.50  SPASS allocated 98337 KBytes.
% 0.21/0.50  SPASS spent	0:00:00.13 on the problem.
% 0.21/0.50  		0:00:00.04 for the input.
% 0.21/0.50  		0:00:00.06 for the FLOTTER CNF translation.
% 0.21/0.50  		0:00:00.00 for inferences.
% 0.21/0.50  		0:00:00.00 for the backtracking.
% 0.21/0.50  		0:00:00.01 for the reduction.
% 0.21/0.50  
% 0.21/0.50  
% 0.21/0.50  Here is a proof with depth 2, length 8 :
% 0.21/0.50  % SZS output start Refutation
% See solution above
% 0.21/0.50  Formulae used in the proof : member_when_not_a_singleton member_universal_self singleton_self
% 0.21/0.50  
%------------------------------------------------------------------------------