TSTP Solution File: SWV295-2 by Metis---2.4

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : Metis---2.4
% Problem  : SWV295-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : metis --show proof --show saturation %s

% Computer : n010.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 20:30:56 EDT 2022

% Result   : Unsatisfiable 0.13s 0.33s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   14
% Syntax   : Number of clauses     :   32 (  15 unt;   0 nHn;  31 RR)
%            Number of literals    :   54 (  26 equ;  24 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    4 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-2 aty)
%            Number of variables   :   13 (   2 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(cls_conjecture_12,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ).

cnf(cls_conjecture_2,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ).

cnf(cls_conjecture_5,negated_conjecture,
    v_NA = c_Message_Omsg_ONonce(v_NAa) ).

cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
    ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
    | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).

cnf(cls_Message_OMPair__parts_1,axiom,
    ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oparts(V_H),tc_Message_Omsg)
    | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).

cnf(cls_Message_Oparts_OBody__dest_0,axiom,
    ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Oparts(V_H),tc_Message_Omsg)
    | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).

cnf(refute_0_0,plain,
    ( ~ c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg) ),
    inference(subst,[],[cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0:[bind(V_c,$fot(v_NA)),bind(V_evs,$fot(v_evs1))]]) ).

cnf(refute_0_1,plain,
    X = X,
    introduced(tautology,[refl,[$fot(X)]]) ).

cnf(refute_0_2,plain,
    ( X != X
    | X != Y
    | Y = X ),
    introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).

cnf(refute_0_3,plain,
    ( X != Y
    | Y = X ),
    inference(resolve,[$cnf( $equal(X,X) )],[refute_0_1,refute_0_2]) ).

cnf(refute_0_4,plain,
    ( v_NA != c_Message_Omsg_ONonce(v_NAa)
    | c_Message_Omsg_ONonce(v_NAa) = v_NA ),
    inference(subst,[],[refute_0_3:[bind(X,$fot(v_NA)),bind(Y,$fot(c_Message_Omsg_ONonce(v_NAa)))]]) ).

cnf(refute_0_5,plain,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    inference(resolve,[$cnf( $equal(v_NA,c_Message_Omsg_ONonce(v_NAa)) )],[cls_conjecture_5,refute_0_4]) ).

cnf(refute_0_6,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) = c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)),
    introduced(tautology,[refl,[$fot(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)))]]) ).

cnf(refute_0_7,plain,
    ( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) != c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))
    | c_Message_Omsg_ONonce(v_NAa) != v_NA
    | c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) = c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)) ),
    introduced(tautology,[equality,[$cnf( $equal(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) ),[1,0],$fot(v_NA)]]) ).

cnf(refute_0_8,plain,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) = c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)) ),
    inference(resolve,[$cnf( $equal(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) )],[refute_0_6,refute_0_7]) ).

cnf(refute_0_9,plain,
    c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) = c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),
    inference(resolve,[$cnf( $equal(c_Message_Omsg_ONonce(v_NAa),v_NA) )],[refute_0_5,refute_0_8]) ).

cnf(refute_0_10,plain,
    c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),
    introduced(tautology,[refl,[$fot(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))))]]) ).

cnf(refute_0_11,plain,
    ( c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) != c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)))
    | c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) != c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))
    | c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))) ),
    introduced(tautology,[equality,[$cnf( $equal(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)))) ),[1,1],$fot(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)))]]) ).

cnf(refute_0_12,plain,
    ( c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)) != c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))
    | c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))) ),
    inference(resolve,[$cnf( $equal(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)))) )],[refute_0_10,refute_0_11]) ).

cnf(refute_0_13,plain,
    c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) = c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),
    inference(resolve,[$cnf( $equal(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K)),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))) )],[refute_0_9,refute_0_12]) ).

cnf(refute_0_14,plain,
    ( c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))) != c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)))
    | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    introduced(tautology,[equality,[$cnf( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),[0],$fot(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))]]) ).

cnf(refute_0_15,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(resolve,[$cnf( $equal(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)))) )],[refute_0_13,refute_0_14]) ).

cnf(refute_0_16,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) )],[cls_conjecture_12,refute_0_15]) ).

cnf(refute_0_17,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(subst,[],[cls_Message_Oparts_OBody__dest_0:[bind(V_H,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1))),bind(V_K,$fot(c_Public_OshrK(v_Aa))),bind(V_X,$fot(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))))]]) ).

cnf(refute_0_18,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) )],[refute_0_16,refute_0_17]) ).

cnf(refute_0_19,plain,
    ( ~ c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(subst,[],[cls_Message_OMPair__parts_1:[bind(V_H,$fot(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1))),bind(V_X,$fot(v_NA)),bind(V_Y,$fot(c_Message_Omsg_OKey(v_K)))]]) ).

cnf(refute_0_20,plain,
    c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) )],[refute_0_18,refute_0_19]) ).

cnf(refute_0_21,plain,
    c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) )],[refute_0_20,refute_0_0]) ).

cnf(refute_0_22,plain,
    ( c_Message_Omsg_ONonce(v_NAa) != v_NA
    | ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ),
    introduced(tautology,[equality,[$cnf( ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ),[0],$fot(v_NA)]]) ).

cnf(refute_0_23,plain,
    ( ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
    | c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) ),
    inference(resolve,[$cnf( $equal(c_Message_Omsg_ONonce(v_NAa),v_NA) )],[refute_0_5,refute_0_22]) ).

cnf(refute_0_24,plain,
    ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg),
    inference(resolve,[$cnf( c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg) )],[refute_0_23,cls_conjecture_2]) ).

cnf(refute_0_25,plain,
    $false,
    inference(resolve,[$cnf( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg) )],[refute_0_21,refute_0_24]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : SWV295-2 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13  % Command  : metis --show proof --show saturation %s
% 0.13/0.32  % Computer : n010.cluster.edu
% 0.13/0.32  % Model    : x86_64 x86_64
% 0.13/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32  % Memory   : 8042.1875MB
% 0.13/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32  % CPULimit : 300
% 0.13/0.32  % WCLimit  : 600
% 0.13/0.32  % DateTime : Tue Jun 14 15:13:54 EDT 2022
% 0.13/0.32  % CPUTime  : 
% 0.13/0.32  %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.33  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.33  
% 0.13/0.33  % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.33  
%------------------------------------------------------------------------------