TSTP Solution File: SWV326-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV326-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s

% Computer : n014.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  : 300s
% DateTime : Wed Aug 31 18:45:06 EDT 2022

% Result   : Unsatisfiable 0.18s 0.50s
% Output   : Refutation 0.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   40 (   5 unt;   0 def)
%            Number of atoms       :   81 (  11 equ)
%            Maximal formula atoms :    4 (   2 avg)
%            Number of connectives :   76 (  35   ~;  35   |;   0   &)
%                                         (   6 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    9 (   7 usr;   7 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-2 aty)
%            Number of variables   :    8 (   8   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1608,plain,
    $false,
    inference(avatar_sat_refutation,[],[f1562,f1563,f1575,f1578,f1594,f1598,f1607]) ).

fof(f1607,plain,
    ( ~ spl0_2
    | ~ spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1606]) ).

fof(f1606,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_7 ),
    inference(subsumption_resolution,[],[f1605,f1581]) ).

fof(f1581,plain,
    ( ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
    | ~ spl0_2 ),
    inference(backward_demodulation,[],[f1484,f1544]) ).

fof(f1544,plain,
    ( v_NA = c_Message_Omsg_ONonce(v_NAa)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f1542]) ).

fof(f1542,plain,
    ( spl0_2
  <=> v_NA = c_Message_Omsg_ONonce(v_NAa) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f1484,axiom,
    ~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f1605,plain,
    ( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
    | ~ spl0_7 ),
    inference(resolution,[],[f1602,f1360]) ).

fof(f1360,axiom,
    ! [X54,X4] :
      ( ~ c_in(X4,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | c_in(X4,c_Event_Oused(X54),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).

fof(f1602,plain,
    ( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_7 ),
    inference(resolution,[],[f1600,f1401]) ).

fof(f1401,axiom,
    ! [X65,X53,X64] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oparts(X64),tc_Message_Omsg)
      | c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).

fof(f1600,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_7 ),
    inference(resolution,[],[f1571,f1441]) ).

fof(f1441,axiom,
    ! [X63,X53,X64] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X63,X53),c_Message_Oparts(X64),tc_Message_Omsg)
      | c_in(X53,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).

fof(f1571,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_7 ),
    inference(avatar_component_clause,[],[f1570]) ).

fof(f1570,plain,
    ( spl0_7
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_7])]) ).

fof(f1598,plain,
    ( ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(avatar_contradiction_clause,[],[f1597]) ).

fof(f1597,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_5
    | spl0_7 ),
    inference(subsumption_resolution,[],[f1596,f1572]) ).

fof(f1572,plain,
    ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | spl0_7 ),
    inference(avatar_component_clause,[],[f1570]) ).

fof(f1596,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_2
    | ~ spl0_5 ),
    inference(forward_demodulation,[],[f1559,f1544]) ).

fof(f1559,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_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_5 ),
    inference(avatar_component_clause,[],[f1557]) ).

fof(f1557,plain,
    ( spl0_5
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_5])]) ).

fof(f1594,plain,
    ( ~ spl0_2
    | ~ spl0_3 ),
    inference(avatar_contradiction_clause,[],[f1593]) ).

fof(f1593,plain,
    ( $false
    | ~ spl0_2
    | ~ spl0_3 ),
    inference(subsumption_resolution,[],[f1592,f1581]) ).

fof(f1592,plain,
    ( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f1588,f1360]) ).

fof(f1588,plain,
    ( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f1586,f1401]) ).

fof(f1586,plain,
    ( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(resolution,[],[f1549,f1441]) ).

fof(f1549,plain,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | ~ spl0_3 ),
    inference(avatar_component_clause,[],[f1547]) ).

fof(f1547,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f1578,plain,
    ( spl0_5
    | spl0_4 ),
    inference(avatar_split_clause,[],[f1497,f1552,f1557]) ).

fof(f1552,plain,
    ( spl0_4
  <=> v_B = v_Ba ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).

fof(f1497,axiom,
    ( v_B = v_Ba
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_31) ).

fof(f1575,plain,
    spl0_2,
    inference(avatar_split_clause,[],[f1507,f1542]) ).

fof(f1507,axiom,
    v_NA = c_Message_Omsg_ONonce(v_NAa),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1563,plain,
    ( ~ spl0_1
    | ~ spl0_4 ),
    inference(avatar_split_clause,[],[f1504,f1552,f1538]) ).

fof(f1538,plain,
    ( spl0_1
  <=> v_Ba = v_C ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f1504,axiom,
    ( v_B != v_Ba
    | v_Ba != v_C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_38) ).

fof(f1562,plain,
    ( spl0_3
    | spl0_1 ),
    inference(avatar_split_clause,[],[f1514,f1538,f1547]) ).

fof(f1514,plain,
    ( v_Ba = v_C
    | c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
    inference(definition_unfolding,[],[f1486,f1509,f1509]) ).

fof(f1509,axiom,
    v_A = v_Aa,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).

fof(f1486,axiom,
    ( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
    | v_Ba = v_C ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_21) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11  % Problem    : SWV326-1 : TPTP v8.1.0. Released v3.2.0.
% 0.09/0.11  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.11/0.33  % Computer : n014.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Aug 30 19:17:33 EDT 2022
% 0.11/0.33  % CPUTime    : 
% 0.18/0.48  % (13114)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.18/0.48  % (13122)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.18/0.49  % (13122)Instruction limit reached!
% 0.18/0.49  % (13122)------------------------------
% 0.18/0.49  % (13122)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.49  % (13114)First to succeed.
% 0.18/0.49  % (13122)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.49  % (13122)Termination reason: Unknown
% 0.18/0.49  % (13122)Termination phase: Property scanning
% 0.18/0.49  
% 0.18/0.49  % (13122)Memory used [KB]: 2686
% 0.18/0.49  % (13122)Time elapsed: 0.007 s
% 0.18/0.49  % (13122)Instructions burned: 8 (million)
% 0.18/0.49  % (13122)------------------------------
% 0.18/0.49  % (13122)------------------------------
% 0.18/0.50  % (13114)Refutation found. Thanks to Tanya!
% 0.18/0.50  % SZS status Unsatisfiable for theBenchmark
% 0.18/0.50  % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.50  % (13114)------------------------------
% 0.18/0.50  % (13114)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.18/0.50  % (13114)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.18/0.50  % (13114)Termination reason: Refutation
% 0.18/0.50  
% 0.18/0.50  % (13114)Memory used [KB]: 7164
% 0.18/0.50  % (13114)Time elapsed: 0.068 s
% 0.18/0.50  % (13114)Instructions burned: 11 (million)
% 0.18/0.50  % (13114)------------------------------
% 0.18/0.50  % (13114)------------------------------
% 0.18/0.50  % (13106)Success in time 0.161 s
%------------------------------------------------------------------------------