%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n023.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 21:41:46 EDT 2022

% Result   : Unsatisfiable 0.18s 0.40s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   13 (   8 unt;   2 nHn;  13 RR)
%            Number of literals    :   19 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   11 (  11 usr;   8 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_in(u,v,tc_Message_Omsg)
    | c_in(u,c_Message_Oanalz(v),tc_Message_Omsg) ),
    file('SWV244-2.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ c_in(u,v,w)
    | c_in(u,c_union(x,v,w),w) ),
    file('SWV244-2.p',unknown),
    [] ).

cnf(3,axiom,
    ( ~ c_in(u,v,w)
    | c_in(u,c_union(v,x,w),w) ),
    file('SWV244-2.p',unknown),
    [] ).

cnf(4,axiom,
    ( ~ c_in(u,c_union(v,w,x),x)
    | c_in(u,v,x)
    | c_in(u,w,x) ),
    file('SWV244-2.p',unknown),
    [] ).

cnf(5,axiom,
    c_in(v_X,c_union(c_Message_Osynth(v_G),v_H,tc_Message_Omsg),tc_Message_Omsg),
    file('SWV244-2.p',unknown),
    [] ).

cnf(6,axiom,
    ~ c_in(v_X,c_union(c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),c_Message_Osynth(v_G),tc_Message_Omsg),tc_Message_Omsg),
    file('SWV244-2.p',unknown),
    [] ).

cnf(10,plain,
    ( c_in(v_X,v_H,tc_Message_Omsg)
    | c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg) ),
    inference(res,[status(thm),theory(equality)],[5,4]),
    [iquote('0:Res:5.0,4.0')] ).

cnf(11,plain,
    ~ c_in(v_X,c_Message_Oanalz(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[3,6]),
    [iquote('0:Res:3.1,6.0')] ).

cnf(12,plain,
    ~ c_in(v_X,c_Message_Osynth(v_G),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[2,6]),
    [iquote('0:Res:2.1,6.0')] ).

cnf(15,plain,
    c_in(v_X,v_H,tc_Message_Omsg),
    inference(mrr,[status(thm)],[10,12]),
    [iquote('0:MRR:10.1,12.0')] ).

cnf(16,plain,
    ~ c_in(v_X,c_union(v_G,v_H,tc_Message_Omsg),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[1,11]),
    [iquote('0:Res:1.1,11.0')] ).

cnf(18,plain,
    ~ c_in(v_X,v_H,tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[2,16]),
    [iquote('0:Res:2.1,16.0')] ).

cnf(19,plain,
    $false,
    inference(mrr,[status(thm)],[18,15]),
    [iquote('0:MRR:18.0,15.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV244-2 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n023.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 : Wed Jun 15 18:35:50 EDT 2022
% 0.13/0.33  % CPUTime  : 
% 0.18/0.40  
% 0.18/0.40  SPASS V 3.9 
% 0.18/0.40  SPASS beiseite: Proof found.
% 0.18/0.40  % SZS status Theorem
% 0.18/0.40  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.18/0.40  SPASS derived 6 clauses, backtracked 0 clauses, performed 0 splits and kept 12 clauses.
% 0.18/0.40  SPASS allocated 63092 KBytes.
% 0.18/0.40  SPASS spent	0:00:00.06 on the problem.
% 0.18/0.40  		0:00:00.04 for the input.
% 0.18/0.40  		0:00:00.00 for the FLOTTER CNF translation.
% 0.18/0.40  		0:00:00.00 for inferences.
% 0.18/0.40  		0:00:00.00 for the backtracking.
% 0.18/0.40  		0:00:00.00 for the reduction.
% 0.18/0.40  
% 0.18/0.40  
% 0.18/0.40  Here is a proof with depth 3, length 13 :
% 0.18/0.40  % SZS output start Refutation
% See solution above
% 0.18/0.40  Formulae used in the proof : cls_Message_Oanalz_OInj_0 cls_Set_OUnCI_0 cls_Set_OUnCI_1 cls_Set_OUnE_0 cls_conjecture_0 cls_conjecture_1
% 0.18/0.40  
%------------------------------------------------------------------------------