%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET094-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:23:56 EDT 2022

% Result   : Unsatisfiable 0.18s 0.43s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    4
% Syntax   : Number of clauses     :    7 (   5 unt;   0 nHn;   7 RR)
%            Number of literals    :    9 (   0 equ;   3 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    :    6 (   6 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(34,axiom,
    ( ~ member(u,singleton(v))
    | equal(u,v) ),
    file('SET094-7.p',unknown),
    [] ).

cnf(47,axiom,
    equal(singleton(member_of(x__dfg)),x__dfg),
    file('SET094-7.p',unknown),
    [] ).

cnf(48,axiom,
    member(y__dfg,x__dfg),
    file('SET094-7.p',unknown),
    [] ).

cnf(49,axiom,
    ~ equal(member_of(x__dfg),y__dfg),
    file('SET094-7.p',unknown),
    [] ).

cnf(255,plain,
    ( ~ member(u,x__dfg)
    | equal(u,member_of(x__dfg)) ),
    inference(spl,[status(thm),theory(equality)],[47,34]),
    [iquote('0:SpL:47.0,34.0')] ).

cnf(263,plain,
    equal(member_of(x__dfg),y__dfg),
    inference(res,[status(thm),theory(equality)],[48,255]),
    [iquote('0:Res:48.0,255.0')] ).

cnf(267,plain,
    $false,
    inference(mrr,[status(thm)],[263,49]),
    [iquote('0:MRR:263.0,49.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11  % Problem  : SET094-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.12  % 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 : Sat Jul  9 18:16:10 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 94 clauses, backtracked 0 clauses, performed 0 splits and kept 174 clauses.
% 0.18/0.43  SPASS allocated 75876 KBytes.
% 0.18/0.43  SPASS spent	0:00:00.08 on the problem.
% 0.18/0.43  		0:00:00.04 for the input.
% 0.18/0.43  		0:00:00.00 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  		0:00:00.02 for the reduction.
% 0.18/0.43  
% 0.18/0.43  
% 0.18/0.43  Here is a proof with depth 2, length 7 :
% 0.18/0.43  % SZS output start Refutation
% See solution above
% 0.18/0.43  Formulae used in the proof : only_member_in_singleton prove_property_of_singletons1_1 prove_property_of_singletons1_2 prove_property_of_singletons1_3
% 0.18/0.43  
%------------------------------------------------------------------------------