TSTP Solution File: SWV264-2 by SPASS---3.9

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SPASS---3.9
% Problem  : SWV264-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp
% Command  : run_spass %d %s

% Computer : n026.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 21:41:54 EDT 2022

% Result   : Unsatisfiable 0.21s 0.42s
% Output   : Refutation 0.21s
% 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;   2 neg)
%            Maximal clause size   :    2 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   7 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(u,v),c_Message_Oparts(w),tc_Message_Omsg)
    | c_in(u,c_Message_Oparts(w),tc_Message_Omsg) ),
    file('SWV264-2.p',unknown),
    [] ).

cnf(2,axiom,
    c_in(c_Message_Omsg_OMPair(v_X,v_Y),c_Message_Oparts(v_H),tc_Message_Omsg),
    file('SWV264-2.p',unknown),
    [] ).

cnf(3,axiom,
    ~ c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    file('SWV264-2.p',unknown),
    [] ).

cnf(5,plain,
    c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg),
    inference(res,[status(thm),theory(equality)],[2,1]),
    [iquote('0:Res:2.0,1.0')] ).

cnf(6,plain,
    $false,
    inference(mrr,[status(thm)],[5,3]),
    [iquote('0:MRR:5.0,3.0')] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13  % Problem  : SWV264-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.13  % Command  : run_spass %d %s
% 0.13/0.35  % Computer : n026.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 : Tue Jun 14 21:16:21 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.21/0.42  
% 0.21/0.42  SPASS V 3.9 
% 0.21/0.42  SPASS beiseite: Proof found.
% 0.21/0.42  % SZS status Theorem
% 0.21/0.42  Problem: /export/starexec/sandbox/benchmark/theBenchmark.p 
% 0.21/0.42  SPASS derived 2 clauses, backtracked 0 clauses, performed 0 splits and kept 4 clauses.
% 0.21/0.42  SPASS allocated 63078 KBytes.
% 0.21/0.42  SPASS spent	0:00:00.06 on the problem.
% 0.21/0.42  		0:00:00.04 for the input.
% 0.21/0.42  		0:00:00.00 for the FLOTTER CNF translation.
% 0.21/0.42  		0:00:00.00 for inferences.
% 0.21/0.42  		0:00:00.00 for the backtracking.
% 0.21/0.42  		0:00:00.00 for the reduction.
% 0.21/0.42  
% 0.21/0.42  
% 0.21/0.42  Here is a proof with depth 1, length 5 :
% 0.21/0.42  % SZS output start Refutation
% See solution above
% 0.21/0.42  Formulae used in the proof : cls_Message_Oparts_OFst_0 cls_conjecture_2 cls_conjecture_3
% 0.21/0.42  
%------------------------------------------------------------------------------