%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV259-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n003.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 21:41:52 EDT 2022

% Result   : Unsatisfiable 13.59s 13.79s
% Output   : Refutation 13.59s
% 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    :   12 (   0 equ;   5 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(5,axiom,
    ( ~ c_lessequals(c_Message_Oparts(u),c_Message_Oparts(v),tc_set(tc_Message_Omsg))
    | c_lessequals(u,c_Message_Oparts(v),tc_set(tc_Message_Omsg)) ),
    file('SWV259-1.p',unknown),
    [] ).

cnf(6,axiom,
    ( ~ c_lessequals(u,c_Message_Oparts(v),tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(u),c_Message_Oparts(v),tc_set(tc_Message_Omsg)) ),
    file('SWV259-1.p',unknown),
    [] ).

cnf(8,axiom,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    file('SWV259-1.p',unknown),
    [] ).

cnf(120,axiom,
    c_lessequals(u,u,tc_set(v)),
    file('SWV259-1.p',unknown),
    [] ).

cnf(2697,axiom,
    ( ~ c_lessequals(c_insert(u,v,w),x,tc_set(w))
    | c_lessequals(v,x,tc_set(w)) ),
    file('SWV259-1.p',unknown),
    [] ).

cnf(3008,plain,
    ~ c_lessequals(v_H,c_Message_Oparts(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[6,8]),
    [iquote('0:Res:6.1,8.0')] ).

cnf(31721,plain,
    c_lessequals(u,c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[120,5]),
    [iquote('0:Res:120.0,5.0')] ).

cnf(44077,plain,
    c_lessequals(u,c_Message_Oparts(c_insert(v,u,tc_Message_Omsg)),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[31721,2697]),
    [iquote('0:Res:31721.0,2697.0')] ).

cnf(44081,plain,
    $false,
    inference(unc,[status(thm)],[44077,3008]),
    [iquote('0:UnC:44077.0,3008.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV259-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n003.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun 15 08:49:55 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 13.59/13.79  
% 13.59/13.79  SPASS V 3.9 
% 13.59/13.79  SPASS beiseite: Proof found.
% 13.59/13.79  % SZS status Theorem
% 13.59/13.79  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 13.59/13.79  SPASS derived 33404 clauses, backtracked 52 clauses, performed 2 splits and kept 7849 clauses.
% 13.59/13.79  SPASS allocated 103204 KBytes.
% 13.59/13.79  SPASS spent	0:0:12.93 on the problem.
% 13.59/13.79  		0:00:00.20 for the input.
% 13.59/13.79  		0:00:00.00 for the FLOTTER CNF translation.
% 13.59/13.79  		0:00:00.71 for inferences.
% 13.59/13.79  		0:00:00.00 for the backtracking.
% 13.59/13.79  		0:0:11.25 for the reduction.
% 13.59/13.79  
% 13.59/13.79  
% 13.59/13.79  Here is a proof with depth 2, length 9 :
% 13.59/13.79  % SZS output start Refutation
% See solution above
% 13.59/13.79  Formulae used in the proof : cls_Message_Oparts__subset__iff_0 cls_Message_Oparts__subset__iff_1 cls_conjecture_1 cls_Set_Osubset__refl_0 cls_Set_Oinsert__subset_1
% 13.59/13.79  
%------------------------------------------------------------------------------