%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV273-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n018.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 21:41:57 EDT 2022

% Result   : Unsatisfiable 9.48s 9.67s
% Output   : Refutation 9.48s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    6
% Syntax   : Number of clauses     :   11 (   7 unt;   0 nHn;  11 RR)
%            Number of literals    :   16 (   0 equ;   9 neg)
%            Maximal clause size   :    3 (   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;   6 con; 0-3 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    ( ~ c_lessequals(u,v,tc_set(tc_Message_Omsg))
    | c_lessequals(c_Message_Oparts(u),c_Message_Oparts(v),tc_set(tc_Message_Omsg)) ),
    file('SWV273-1.p',unknown),
    [] ).

cnf(3,axiom,
    c_lessequals(u,c_Message_Osynth(u),tc_set(tc_Message_Omsg)),
    file('SWV273-1.p',unknown),
    [] ).

cnf(4,axiom,
    ~ c_lessequals(c_union(c_Message_Oparts(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
    file('SWV273-1.p',unknown),
    [] ).

cnf(116,axiom,
    c_lessequals(u,u,tc_set(v)),
    file('SWV273-1.p',unknown),
    [] ).

cnf(2651,axiom,
    ( ~ c_lessequals(u,v,tc_set(w))
    | ~ c_lessequals(x,v,tc_set(w))
    | c_lessequals(c_union(u,x,w),v,tc_set(w)) ),
    file('SWV273-1.p',unknown),
    [] ).

cnf(2818,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('SWV273-1.p',unknown),
    [] ).

cnf(3028,plain,
    ( ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg))
    | ~ c_lessequals(c_Message_Osynth(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)) ),
    inference(res,[status(thm),theory(equality)],[2651,4]),
    [iquote('0:Res:2651.2,4.0')] ).

cnf(33482,plain,
    c_lessequals(u,c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[116,2818]),
    [iquote('0:Res:116.0,2818.0')] ).

cnf(33486,plain,
    ~ c_lessequals(c_Message_Oparts(v_H),c_Message_Oparts(c_Message_Osynth(v_H)),tc_set(tc_Message_Omsg)),
    inference(mrr,[status(thm)],[3028,33482]),
    [iquote('0:MRR:3028.1,33482.0')] ).

cnf(33533,plain,
    ~ c_lessequals(v_H,c_Message_Osynth(v_H),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[2,33486]),
    [iquote('0:Res:2.1,33486.0')] ).

cnf(33534,plain,
    $false,
    inference(mrr,[status(thm)],[33533,3]),
    [iquote('0:MRR:33533.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13  % Problem  : SWV273-1 : TPTP v8.1.0. Released v3.2.0.
% 0.04/0.13  % Command  : run_spass %d %s
% 0.14/0.34  % Computer : n018.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit : 300
% 0.14/0.35  % WCLimit  : 600
% 0.14/0.35  % DateTime : Thu Jun 16 00:58:15 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 9.48/9.67  
% 9.48/9.67  SPASS V 3.9 
% 9.48/9.67  SPASS beiseite: Proof found.
% 9.48/9.67  % SZS status Theorem
% 9.48/9.67  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 9.48/9.67  SPASS derived 24728 clauses, backtracked 0 clauses, performed 1 splits and kept 6472 clauses.
% 9.48/9.67  SPASS allocated 97053 KBytes.
% 9.48/9.67  SPASS spent	0:00:09.00 on the problem.
% 9.48/9.67  		0:00:00.26 for the input.
% 9.48/9.67  		0:00:00.00 for the FLOTTER CNF translation.
% 9.48/9.67  		0:00:00.55 for inferences.
% 9.48/9.67  		0:00:00.00 for the backtracking.
% 9.48/9.67  		0:00:07.51 for the reduction.
% 9.48/9.67  
% 9.48/9.67  
% 9.48/9.67  Here is a proof with depth 2, length 11 :
% 9.48/9.67  % SZS output start Refutation
% See solution above
% 9.48/9.67  Formulae used in the proof : cls_Message_Oparts__mono_0 cls_Message_Osynth__increasing_0 cls_conjecture_0 cls_Set_Osubset__refl_0 cls_Set_OUn__subset__iff_2 cls_Message_Oparts__subset__iff_0
% 9.48/9.67  
%------------------------------------------------------------------------------