%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV269-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n032.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 : Wed Jul 20 21:41:56 EDT 2022

% Result   : Unsatisfiable 0.16s 0.36s
% Output   : Refutation 0.16s
% 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; 0-3 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_in(u,v,w)
    | c_in(u,c_union(x,v,w),w) ),
    file('SWV269-2.p',unknown),
    [] ).

cnf(2,axiom,
    c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    file('SWV269-2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ c_in(v_X,c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),tc_Message_Omsg),
    file('SWV269-2.p',unknown),
    [] ).

cnf(5,plain,
    ~ c_in(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[1,3]),
    [iquote('0:Res:1.1,3.0')] ).

cnf(6,plain,
    $false,
    inference(mrr,[status(thm)],[5,2]),
    [iquote('0:MRR:5.0,2.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11  % Problem  : SWV269-2 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.11  % Command  : run_spass %d %s
% 0.11/0.30  % Computer : n032.cluster.edu
% 0.11/0.30  % Model    : x86_64 x86_64
% 0.11/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30  % Memory   : 8042.1875MB
% 0.11/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30  % CPULimit : 300
% 0.11/0.30  % WCLimit  : 600
% 0.11/0.30  % DateTime : Thu Jun 16 01:45:29 EDT 2022
% 0.11/0.31  % CPUTime  : 
% 0.16/0.36  
% 0.16/0.36  SPASS V 3.9 
% 0.16/0.36  SPASS beiseite: Proof found.
% 0.16/0.36  % SZS status Theorem
% 0.16/0.36  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.16/0.36  SPASS derived 1 clauses, backtracked 0 clauses, performed 0 splits and kept 4 clauses.
% 0.16/0.36  SPASS allocated 63078 KBytes.
% 0.16/0.36  SPASS spent	0:00:00.05 on the problem.
% 0.16/0.36  		0:00:00.03 for the input.
% 0.16/0.36  		0:00:00.00 for the FLOTTER CNF translation.
% 0.16/0.36  		0:00:00.00 for inferences.
% 0.16/0.36  		0:00:00.00 for the backtracking.
% 0.16/0.36  		0:00:00.00 for the reduction.
% 0.16/0.36  
% 0.16/0.36  
% 0.16/0.36  Here is a proof with depth 1, length 5 :
% 0.16/0.36  % SZS output start Refutation
% See solution above
% 0.16/0.36  Formulae used in the proof : cls_Set_OUn__iff_2 cls_conjecture_0 cls_conjecture_1
% 0.16/0.36  
%------------------------------------------------------------------------------