%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV277-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n004.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 21:41:59 EDT 2022

% Result   : Unsatisfiable 7.90s 8.07s
% Output   : Refutation 7.90s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    5
% Syntax   : Number of clauses     :    9 (   6 unt;   0 nHn;   9 RR)
%            Number of literals    :   13 (   0 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   12 (  12 usr;   8 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    c_lessequals(c_Message_Oanalz(u),c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
    file('SWV277-1.p',unknown),
    [] ).

cnf(2,axiom,
    ( ~ c_lessequals(u,v,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_OkeysFor(u),c_Message_OkeysFor(v),tc_set(tc_nat)) ),
    file('SWV277-1.p',unknown),
    [] ).

cnf(7,axiom,
    ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_nat),
    file('SWV277-1.p',unknown),
    [] ).

cnf(8,axiom,
    c_in(v_K,c_Message_OkeysFor(c_Message_Oanalz(v_H)),tc_nat),
    file('SWV277-1.p',unknown),
    [] ).

cnf(117,axiom,
    ( ~ c_in(u,v,w)
    | ~ c_lessequals(v,x,tc_set(w))
    | c_in(u,x,w) ),
    file('SWV277-1.p',unknown),
    [] ).

cnf(3185,plain,
    ( ~ c_lessequals(u,c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat))
    | ~ c_in(v_K,u,tc_nat) ),
    inference(res,[status(thm),theory(equality)],[117,7]),
    [iquote('0:Res:117.2,7.0')] ).

cnf(3229,plain,
    ~ c_lessequals(c_Message_OkeysFor(c_Message_Oanalz(v_H)),c_Message_OkeysFor(c_Message_Oparts(v_H)),tc_set(tc_nat)),
    inference(res,[status(thm),theory(equality)],[8,3185]),
    [iquote('0:Res:8.0,3185.0')] ).

cnf(22691,plain,
    ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[2,3229]),
    [iquote('0:Res:2.1,3229.0')] ).

cnf(22692,plain,
    $false,
    inference(mrr,[status(thm)],[22691,1]),
    [iquote('0:MRR:22691.0,1.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : SWV277-1 : TPTP v8.1.0. Released v3.2.0.
% 0.07/0.13  % Command  : run_spass %d %s
% 0.13/0.33  % Computer : n004.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 : Tue Jun 14 14:19:09 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 7.90/8.07  
% 7.90/8.07  SPASS V 3.9 
% 7.90/8.07  SPASS beiseite: Proof found.
% 7.90/8.07  % SZS status Theorem
% 7.90/8.07  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 7.90/8.07  SPASS derived 15973 clauses, backtracked 0 clauses, performed 1 splits and kept 5696 clauses.
% 7.90/8.07  SPASS allocated 91653 KBytes.
% 7.90/8.07  SPASS spent	0:00:07.52 on the problem.
% 7.90/8.07  		0:00:00.20 for the input.
% 7.90/8.07  		0:00:00.00 for the FLOTTER CNF translation.
% 7.90/8.07  		0:00:00.40 for inferences.
% 7.90/8.07  		0:00:00.00 for the backtracking.
% 7.90/8.07  		0:00:06.23 for the reduction.
% 7.90/8.07  
% 7.90/8.07  
% 7.90/8.07  Here is a proof with depth 3, length 9 :
% 7.90/8.07  % SZS output start Refutation
% See solution above
% 7.90/8.07  Formulae used in the proof : cls_Message_Oanalz__subset__parts_0 cls_Message_OkeysFor__mono_0 cls_conjecture_2 cls_conjecture_3 cls_Set_OsubsetD_0
% 7.90/8.07  
%------------------------------------------------------------------------------