TSTP Solution File: SWV256-1 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV256-1 : 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 21:41:51 EDT 2022

% Result   : Unsatisfiable 1.35s 1.53s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    3
% Syntax   : Number of clauses     :    5 (   4 unt;   0 nHn;   5 RR)
%            Number of literals    :    6 (   0 equ;   3 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    3 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    7 (   7 usr;   4 con; 0-1 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(6,axiom,
    c_lessequals(c_Message_Oanalz(u),c_Message_Oparts(u),tc_set(tc_Message_Omsg)),
    file('SWV256-1.p',unknown),
    [] ).

cnf(21,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('SWV256-1.p',unknown),
    [] ).

cnf(22,axiom,
    ~ c_lessequals(c_Message_Oparts(c_Message_Oanalz(v_H)),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    file('SWV256-1.p',unknown),
    [] ).

cnf(2984,plain,
    ~ c_lessequals(c_Message_Oanalz(v_H),c_Message_Oparts(v_H),tc_set(tc_Message_Omsg)),
    inference(res,[status(thm),theory(equality)],[21,22]),
    [iquote('0:Res:21.1,22.0')] ).

cnf(3031,plain,
    $false,
    inference(mrr,[status(thm)],[2984,6]),
    [iquote('0:MRR:2984.0,6.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV256-1 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14  % Command  : run_spass %d %s
% 0.14/0.35  % Computer : n004.cluster.edu
% 0.14/0.35  % Model    : x86_64 x86_64
% 0.14/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35  % Memory   : 8042.1875MB
% 0.14/0.35  % 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 : Wed Jun 15 09:58:54 EDT 2022
% 0.14/0.35  % CPUTime  : 
% 1.35/1.53  
% 1.35/1.53  SPASS V 3.9 
% 1.35/1.53  SPASS beiseite: Proof found.
% 1.35/1.53  % SZS status Theorem
% 1.35/1.53  Problem: /export/starexec/sandbox2/benchmark/theBenchmark.p 
% 1.35/1.53  SPASS derived 26 clauses, backtracked 0 clauses, performed 0 splits and kept 2661 clauses.
% 1.35/1.53  SPASS allocated 79996 KBytes.
% 1.35/1.53  SPASS spent	0:00:01.11 on the problem.
% 1.35/1.53  		0:00:00.18 for the input.
% 1.35/1.53  		0:00:00.00 for the FLOTTER CNF translation.
% 1.35/1.53  		0:00:00.00 for inferences.
% 1.35/1.53  		0:00:00.00 for the backtracking.
% 1.35/1.53  		0:00:00.62 for the reduction.
% 1.35/1.53  
% 1.35/1.53  
% 1.35/1.53  Here is a proof with depth 1, length 5 :
% 1.35/1.53  % SZS output start Refutation
% See solution above
% 1.35/1.53  Formulae used in the proof : cls_Message_Oanalz__subset__parts_0 cls_Message_Oparts__subset__iff_1 cls_conjecture_0
% 1.35/1.53  
%------------------------------------------------------------------------------