TSTP Solution File: SWV317-1 by Metis---2.4

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n025.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 20:31:05 EDT 2022

% Result   : Unsatisfiable 2.42s 2.65s
% Output   : CNFRefutation 2.50s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :    5
% Syntax   : Number of clauses     :   11 (   8 unt;   1 nHn;   8 RR)
%            Number of literals    :   15 (   3 equ;   5 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    3 (   1 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :    9 (   9 usr;   6 con; 0-1 aty)
%            Number of variables   :    6 (   4 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_Public_OshrK__in__used_0,axiom,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Event_Oused(V_evs),tc_Message_Omsg) ).

cnf(cls_conjecture_1,negated_conjecture,
    ~ c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg) ).

cnf(cls_conjecture_3,negated_conjecture,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).

cnf(cls_conjecture_7,negated_conjecture,
    ( c_Public_OshrK(v_A) = v_KAB
    | c_in(v_A,c_Event_Obad,tc_Message_Oagent) ) ).

cnf(refute_0_0,plain,
    c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X_411),tc_Message_Omsg),
    inference(subst,[],[cls_Public_OshrK__in__used_0:[bind(V_A,$fot(v_A)),bind(V_evs,$fot(X_411))]]) ).

cnf(refute_0_1,plain,
    c_Public_OshrK(v_A) = v_KAB,
    inference(resolve,[$cnf( c_in(v_A,c_Event_Obad,tc_Message_Oagent) )],[cls_conjecture_7,cls_conjecture_3]) ).

cnf(refute_0_2,plain,
    ( c_Public_OshrK(v_A) != v_KAB
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X_411),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(X_411),tc_Message_Omsg) ),
    introduced(tautology,[equality,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X_411),tc_Message_Omsg) ),[0,0],$fot(v_KAB)]]) ).

cnf(refute_0_3,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X_411),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(X_411),tc_Message_Omsg) ),
    inference(resolve,[$cnf( $equal(c_Public_OshrK(v_A),v_KAB) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(X_411),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oused(X_411),tc_Message_Omsg) )],[refute_0_0,refute_0_3]) ).

cnf(refute_0_5,plain,
    c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg),
    inference(subst,[],[refute_0_4:[bind(X_411,$fot(v_evs3))]]) ).

cnf(refute_0_6,plain,
    $false,
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OKey(v_KAB),c_Event_Oused(v_evs3),tc_Message_Omsg) )],[refute_0_5,cls_conjecture_1]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV317-1 : TPTP v8.1.0. Released v3.2.0.
% 0.10/0.13  % Command  : metis --show proof --show saturation %s
% 0.12/0.34  % Computer : n025.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Wed Jun 15 08:45:40 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 2.42/2.65  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.42/2.65  
% 2.42/2.65  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 2.50/2.66  
%------------------------------------------------------------------------------