%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n013.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 05:23:40 EDT 2022

% Result   : Unsatisfiable 0.18s 0.41s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    7 (   7 usr;   5 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(29,axiom,
    member(singleton(u),universal_class),
    file('SET078-7.p',unknown),
    [] ).

cnf(30,axiom,
    ~ member(singleton(y__dfg),unordered_pair(x__dfg,singleton(y__dfg))),
    file('SET078-7.p',unknown),
    [] ).

cnf(40,axiom,
    ( ~ member(u,universal_class)
    | member(u,unordered_pair(v,u)) ),
    file('SET078-7.p',unknown),
    [] ).

cnf(131,plain,
    ~ member(singleton(y__dfg),universal_class),
    inference(res,[status(thm),theory(equality)],[40,30]),
    [iquote('0:Res:40.1,30.0')] ).

cnf(135,plain,
    $false,
    inference(mrr,[status(thm)],[131,29]),
    [iquote('0:MRR:131.0,29.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n013.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 : Sat Jul  9 18:44:44 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.18/0.41  
% 0.18/0.41  SPASS V 3.9 
% 0.18/0.41  SPASS beiseite: Proof found.
% 0.18/0.41  % SZS status Theorem
% 0.18/0.41  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.18/0.41  SPASS derived 3 clauses, backtracked 0 clauses, performed 0 splits and kept 119 clauses.
% 0.18/0.41  SPASS allocated 75763 KBytes.
% 0.18/0.41  SPASS spent	0:00:00.07 on the problem.
% 0.18/0.41  		0:00:00.04 for the input.
% 0.18/0.41  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.41  		0:00:00.00 for inferences.
% 0.18/0.41  		0:00:00.00 for the backtracking.
% 0.18/0.41  		0:00:00.01 for the reduction.
% 0.18/0.41  
% 0.18/0.41  
% 0.18/0.41  Here is a proof with depth 1, length 5 :
% 0.18/0.41  % SZS output start Refutation
% See solution above
% 0.18/0.41  Formulae used in the proof : singletons_are_sets prove_corollary_1_to_singletons_are_sets_1 unordered_pair3
% 0.18/0.41  
%------------------------------------------------------------------------------