%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n024.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 : Mon Jul 18 18:27:26 EDT 2022

% Result   : Unsatisfiable 0.92s 1.12s
% Output   : Refutation 0.92s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   5 unt;   0 nHn;   5 RR)
%            Number of literals    :    5 (   0 equ;   2 neg)
%            Maximal clause size   :    1 (   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;   6 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
    file('PUZ063-1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ c_in(c_union(c_emptyset,v_u,t_a),c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
    file('PUZ063-1.p',unknown),
    [] ).

cnf(1487,axiom,
    equal(c_union(c_emptyset,u,v),u),
    file('PUZ063-1.p',unknown),
    [] ).

cnf(2774,plain,
    ~ c_in(v_u,c_Mutil_Otiling(v_A,t_a),tc_set(t_a)),
    inference(rew,[status(thm),theory(equality)],[1487,8]),
    [iquote('0:Rew:1487.0,8.0')] ).

cnf(2775,plain,
    $false,
    inference(mrr,[status(thm)],[2774,6]),
    [iquote('0:MRR:2774.0,6.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ063-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.34  % Computer : n024.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Sun May 29 00:43:22 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.92/1.12  
% 0.92/1.12  SPASS V 3.9 
% 0.92/1.12  SPASS beiseite: Proof found.
% 0.92/1.12  % SZS status Theorem
% 0.92/1.12  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.92/1.12  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 1554 clauses.
% 0.92/1.12  SPASS allocated 79775 KBytes.
% 0.92/1.12  SPASS spent	0:00:00.72 on the problem.
% 0.92/1.12  		0:00:00.21 for the input.
% 0.92/1.12  		0:00:00.00 for the FLOTTER CNF translation.
% 0.92/1.12  		0:00:00.00 for inferences.
% 0.92/1.12  		0:00:00.00 for the backtracking.
% 0.92/1.12  		0:00:00.20 for the reduction.
% 0.92/1.12  
% 0.92/1.12  
% 0.92/1.12  Here is a proof with depth 0, length 5 :
% 0.92/1.12  % SZS output start Refutation
% See solution above
% 0.92/1.12  Formulae used in the proof : cls_conjecture_0 cls_conjecture_2 cls_Set_OUn__empty__left_0
% 0.92/1.12  
%------------------------------------------------------------------------------