%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV263-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n008.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 21:41:53 EDT 2022

% Result   : Unsatisfiable 0.38s 0.61s
% Output   : Refutation 0.38s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   6 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    :   10 (  10 usr;   8 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(19,axiom,
    ( ~ c_in(u,v,tc_Message_Omsg)
    | c_in(u,c_Message_Oparts(v),tc_Message_Omsg) ),
    file('SWV263-1.p',unknown),
    [] ).

cnf(21,axiom,
    c_lessequals(v_G,v_H,tc_set(tc_Message_Omsg)),
    file('SWV263-1.p',unknown),
    [] ).

cnf(22,axiom,
    c_in(v_X,v_G,tc_Message_Omsg),
    file('SWV263-1.p',unknown),
    [] ).

cnf(23,axiom,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('SWV263-1.p',unknown),
    [] ).

cnf(131,axiom,
    ( ~ c_in(u,v,w)
    | ~ c_lessequals(v,x,tc_set(w))
    | c_in(u,x,w) ),
    file('SWV263-1.p',unknown),
    [] ).

cnf(1412,plain,
    ( ~ c_in(u,v_G,tc_Message_Omsg)
    | c_in(u,v_H,tc_Message_Omsg) ),
    inference(res,[status(thm),theory(equality)],[21,131]),
    [iquote('0:Res:21.0,131.1')] ).

cnf(1417,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[19,23]),
    [iquote('0:Res:19.1,23.0')] ).

cnf(1434,plain,
    c_in(v_X,v_H,tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[22,1412]),
    [iquote('0:Res:22.0,1412.0')] ).

cnf(1438,plain,
    $false,
    inference(mrr,[status(thm)],[1434,1417]),
    [iquote('0:MRR:1434.0,1417.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem  : SWV263-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12  % Command  : run_spass %d %s
% 0.12/0.33  % Computer : n008.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 : Tue Jun 14 16:36:22 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.38/0.61  
% 0.38/0.61  SPASS V 3.9 
% 0.38/0.61  SPASS beiseite: Proof found.
% 0.38/0.61  % SZS status Theorem
% 0.38/0.61  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 0.38/0.61  SPASS derived 43 clauses, backtracked 0 clauses, performed 0 splits and kept 1378 clauses.
% 0.38/0.61  SPASS allocated 77790 KBytes.
% 0.38/0.61  SPASS spent	0:00:00.25 on the problem.
% 0.38/0.61  		0:00:00.08 for the input.
% 0.38/0.61  		0:00:00.00 for the FLOTTER CNF translation.
% 0.38/0.61  		0:00:00.00 for inferences.
% 0.38/0.61  		0:00:00.00 for the backtracking.
% 0.38/0.61  		0:00:00.07 for the reduction.
% 0.38/0.61  
% 0.38/0.61  
% 0.38/0.61  Here is a proof with depth 2, length 9 :
% 0.38/0.61  % SZS output start Refutation
% See solution above
% 0.38/0.61  Formulae used in the proof : cls_Message_Oparts_OInj_0 cls_conjecture_0 cls_conjecture_1 cls_conjecture_2 cls_Set_OsubsetD_0
% 0.38/0.61  
%------------------------------------------------------------------------------