TSTP Solution File: SWV290-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV290-1 : TPTP v8.2.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n007.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 : Tue May 21 06:15:43 EDT 2024

% Result   : Unsatisfiable 216.32s 31.36s
% Output   : Refutation 216.32s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   21 (  11 unt;   0 def)
%            Number of atoms       :   39 (   0 equ)
%            Maximal formula atoms :    5 (   1 avg)
%            Number of connectives :   36 (  18   ~;  18   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   12 (   4 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   28 (  28 usr;  15 con; 0-3 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f256849,plain,
    $false,
    inference(subsumption_resolution,[],[f256832,f76056]) ).

fof(f76056,plain,
    ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f26915,f1481]) ).

fof(f1481,axiom,
    ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f26915,plain,
    ! [X0] :
      ( c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(subsumption_resolution,[],[f26914,f1479]) ).

fof(f1479,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f26914,plain,
    ! [X0] :
      ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(subsumption_resolution,[],[f26900,f1480]) ).

fof(f1480,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f26900,plain,
    ! [X0] :
      ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(X0))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(X0)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(v_B,c_Event_Obad,tc_Message_Oagent) ),
    inference(resolution,[],[f1474,f1477]) ).

fof(f1477,axiom,
    c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_X_H,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f1474,axiom,
    ! [X54,X79,X77,X63,X66,X12,X13] :
      ( ~ c_in(c_Event_Oevent_OSays(X13,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(X66,c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(X79,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X12),c_Message_Omsg_OAgent(X13)))))))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(X79,c_Message_Omsg_OKey(X63))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(X77,c_Message_Omsg_OKey(X63))),c_Message_Omsg_OCrypt(c_Public_OshrK(X13),c_Message_Omsg_OMPair(X79,c_Message_Omsg_OKey(X63)))))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X13,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_ONB__Crypt__imp__Server__msg_0) ).

fof(f256832,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f254620,f1440]) ).

fof(f1440,axiom,
    ! [X4,X64] :
      ( ~ c_in(X4,c_Message_Oanalz(X64),tc_Message_Omsg)
      | c_in(X4,c_Message_Oparts(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f254620,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f241466,f1395]) ).

fof(f1395,axiom,
    ! [X65,X53,X64] :
      ( ~ c_in(c_Message_Omsg_OMPair(X53,X65),c_Message_Oanalz(X64),tc_Message_Omsg)
      | c_in(X65,c_Message_Oanalz(X64),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Message_OMPair__analz_0) ).

fof(f241466,plain,
    c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f50925,f1395]) ).

fof(f50925,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(subsumption_resolution,[],[f50919,f1480]) ).

fof(f50919,plain,
    ( ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
    | c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg) ),
    inference(resolution,[],[f25252,f1478]) ).

fof(f1478,axiom,
    c_in(c_Event_Oevent_OGets(v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f25252,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OGets(X0,X1),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X2,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X1,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X2)),tc_Message_Omsg) ),
    inference(resolution,[],[f1442,f1437]) ).

fof(f1437,axiom,
    ! [X54,X53,X12,X13] :
      ( ~ c_in(c_Event_Oevent_OSays(X12,X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X53,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).

fof(f1442,axiom,
    ! [X54,X53,X13] :
      ( c_in(c_Event_Oevent_OSays(v_sko__usf(X13,X53,X54),X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(c_Event_Oevent_OGets(X13,X53),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent)
      | ~ c_in(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OGets__imp__Says__dest_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13  % Problem    : SWV290-1 : TPTP v8.2.0. Released v3.2.0.
% 0.03/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.14/0.36  % Computer : n007.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit   : 300
% 0.14/0.36  % WCLimit    : 300
% 0.14/0.36  % DateTime   : Sun May 19 07:52:08 EDT 2024
% 0.14/0.36  % CPUTime    : 
% 0.14/0.36  % (23672)Running in auto input_syntax mode. Trying TPTP
% 0.20/0.42  % (23675)WARNING: value z3 for option sas not known
% 0.20/0.42  % (23677)ott+10_10:1_add=off:afr=on:amm=off:anc=all:bd=off:bs=on:fsr=off:irw=on:lma=on:msp=off:nm=4:nwc=4.0:sac=on:sp=reverse_frequency_531 on theBenchmark for (531ds/0Mi)
% 0.20/0.42  % (23679)ott+1_64_av=off:bd=off:bce=on:fsd=off:fde=unused:gsp=on:irw=on:lcm=predicate:lma=on:nm=2:nwc=1.1:sims=off:urr=on_497 on theBenchmark for (497ds/0Mi)
% 0.20/0.42  % (23674)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.20/0.42  % (23673)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.20/0.42  % (23675)dis+2_11_add=large:afr=on:amm=off:bd=off:bce=on:fsd=off:fde=none:gs=on:gsaa=full_model:gsem=off:irw=on:msp=off:nm=4:nwc=1.3:sas=z3:sims=off:sac=on:sp=reverse_arity_569 on theBenchmark for (569ds/0Mi)
% 0.20/0.42  % (23676)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.20/0.42  % (23678)ott-10_8_av=off:bd=preordered:bs=on:fsd=off:fsr=off:fde=unused:irw=on:lcm=predicate:lma=on:nm=4:nwc=1.7:sp=frequency_522 on theBenchmark for (522ds/0Mi)
% 0.20/0.51  TRYING [1]
% 0.20/0.53  TRYING [2]
% 2.02/0.72  TRYING [3]
% 2.64/0.81  TRYING [1]
% 3.38/0.88  TRYING [2]
% 8.20/1.60  TRYING [1]
% 8.20/1.62  TRYING [2]
% 9.05/1.74  TRYING [3]
% 9.05/1.75  TRYING [4]
% 11.16/1.98  TRYING [3]
% 15.98/2.70  TRYING [4]
% 51.30/7.75  TRYING [5]
% 65.68/9.81  TRYING [5]
% 73.61/10.93  TRYING [4]
% 215.73/31.28  % (23675)First to succeed.
% 215.73/31.28  % (23675)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-23672"
% 216.32/31.36  % (23675)Refutation found. Thanks to Tanya!
% 216.32/31.36  % SZS status Unsatisfiable for theBenchmark
% 216.32/31.36  % SZS output start Proof for theBenchmark
% See solution above
% 216.32/31.36  % (23675)------------------------------
% 216.32/31.36  % (23675)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 216.32/31.36  % (23675)Termination reason: Refutation
% 216.32/31.36  
% 216.32/31.36  % (23675)Memory used [KB]: 448907
% 216.32/31.36  % (23675)Time elapsed: 30.861 s
% 216.32/31.36  % (23675)Instructions burned: 38048 (million)
% 216.32/31.36  % (23672)Success in time 30.977 s
%------------------------------------------------------------------------------