%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SET833-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n006.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 05:29:03 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : Refutation 0.19s
% 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    :   10 (   0 equ;   4 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   8 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_in(u,v,w)
    | ~ c_lessequals(v,x,tc_set(w))
    | c_in(u,x,w) ),
    file('SET833-2.p',unknown),
    [] ).

cnf(2,axiom,
    c_lessequals(v_Z,v_V,tc_set(t_a)),
    file('SET833-2.p',unknown),
    [] ).

cnf(3,axiom,
    c_in(v_x,v_Z,t_a),
    file('SET833-2.p',unknown),
    [] ).

cnf(4,axiom,
    ~ c_in(v_x,v_V,t_a),
    file('SET833-2.p',unknown),
    [] ).

cnf(7,plain,
    ( ~ c_in(u,v_Z,t_a)
    | c_in(u,v_V,t_a) ),
    inference(res,[status(thm),theory(equality)],[2,1]),
    [iquote('0:Res:2.0,1.1')] ).

cnf(9,plain,
    c_in(v_x,v_V,t_a),
    inference(res,[status(thm),theory(equality)],[3,7]),
    [iquote('0:Res:3.0,7.0')] ).

cnf(10,plain,
    $false,
    inference(mrr,[status(thm)],[9,4]),
    [iquote('0:MRR:9.0,4.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SET833-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.12  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n006.cluster.edu
% 0.13/0.33  % Model    : x86_64 x86_64
% 0.13/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33  % Memory   : 8042.1875MB
% 0.13/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33  % CPULimit : 300
% 0.13/0.33  % WCLimit  : 600
% 0.13/0.33  % DateTime : Mon Jul 11 02:11:20 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.40  
% 0.19/0.40  SPASS V 3.9 
% 0.19/0.40  SPASS beiseite: Proof found.
% 0.19/0.40  % SZS status Theorem
% 0.19/0.40  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.19/0.40  SPASS derived 5 clauses, backtracked 0 clauses, performed 0 splits and kept 8 clauses.
% 0.19/0.40  SPASS allocated 63081 KBytes.
% 0.19/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.19/0.40  		0:00:00.03 for the input.
% 0.19/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.19/0.40  		0:00:00.00 for inferences.
% 0.19/0.40  		0:00:00.00 for the backtracking.
% 0.19/0.40  		0:00:00.00 for the reduction.
% 0.19/0.40  
% 0.19/0.40  
% 0.19/0.40  Here is a proof with depth 2, length 7 :
% 0.19/0.40  % SZS output start Refutation
% See solution above
% 0.19/0.40  Formulae used in the proof : cls_Set_OsubsetD_0 cls_conjecture_1 cls_conjecture_2 cls_conjecture_3
% 0.19/0.40  
%------------------------------------------------------------------------------