TSTP Solution File: SWV289-1 by SnakeForV---1.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SnakeForV---1.0
% Problem  : SWV289-1 : 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 : n027.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 18:44:53 EDT 2022

% Result   : Unsatisfiable 1.42s 0.56s
% Output   : Refutation 1.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   12 (  10 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   3 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   27 (  27 usr;  15 con; 0-3 aty)
%            Number of variables   :   14 (  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1572,plain,
    $false,
    inference(subsumption_resolution,[],[f1567,f1527]) ).

fof(f1527,plain,
    ~ 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),
    inference(unit_resulting_resolution,[],[f1482,f1481,f1483,f1484,f1480,f1475]) ).

fof(f1475,axiom,
    ! [X54,X79,X77,X63,X12,X13] :
      ( ~ 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(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | c_in(X13,c_Event_Obad,tc_Message_Oagent)
      | ~ c_in(c_Message_Omsg_OKey(X63),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X54)),tc_Message_Omsg)
      | c_in(X12,c_Event_Obad,tc_Message_Oagent)
      | c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(X79,c_Message_Omsg_OKey(X63)))),c_List_Oset(X54,tc_Event_Oevent),tc_Event_Oevent) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OSpy__not__see__encrypted__key__dest_0) ).

fof(f1480,axiom,
    ~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,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_2) ).

fof(f1484,axiom,
    c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1483,axiom,
    c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f1481,axiom,
    ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1482,axiom,
    ~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f1567,plain,
    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),
    inference(unit_resulting_resolution,[],[f1482,f1483,f1479,f1478,f1473]) ).

fof(f1473,axiom,
    ! [X54,X79,X77,X63,X53,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(X13,c_Event_Obad,tc_Message_Oagent)
      | 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(X54,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(c_Event_Oevent_OGets(X13,c_Message_Omsg_OMPair(X77,c_Message_Omsg_OMPair(X53,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) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_OB__trusts__OR3__dest_0) ).

fof(f1478,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(f1479,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) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV289-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13  % Command    : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.13/0.34  % Computer : n027.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit   : 300
% 0.13/0.34  % WCLimit    : 300
% 0.13/0.34  % DateTime   : Tue Aug 30 19:28:16 EDT 2022
% 0.13/0.34  % CPUTime    : 
% 0.19/0.52  % (2364)ott+21_1:1_erd=off:s2a=on:sac=on:sd=1:sgt=64:sos=on:ss=included:st=3.0:to=lpo:urr=on:i=97:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/97Mi)
% 0.19/0.52  % (2356)dis+1011_3:29_av=off:awrs=decay:awrsf=32:bce=on:drc=off:fde=unused:gsp=on:irw=on:nwc=2.0:spb=goal_then_units:updr=off:urr=ec_only:i=29:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/29Mi)
% 0.19/0.53  % (2348)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=49:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/49Mi)
% 0.19/0.54  % (2353)dis+4_1:1_bd=off:cond=fast:fde=unused:lcm=reverse:lma=on:nicw=on:nwc=2.0:s2a=on:s2agt=16:sac=on:sp=frequency:i=23:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/23Mi)
% 0.19/0.55  % (2361)lrs+1011_1:1_afp=100000:afr=on:amm=sco:bd=preordered:cond=fast:newcnf=on:nm=4:sos=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.55  % (2361)Instruction limit reached!
% 0.19/0.55  % (2361)------------------------------
% 0.19/0.55  % (2361)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (2347)dis+1011_1:16_fsr=off:nwc=2.0:i=25:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/25Mi)
% 0.19/0.56  % (2361)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (2361)Termination reason: Unknown
% 0.19/0.56  % (2361)Termination phase: Property scanning
% 0.19/0.56  
% 0.19/0.56  % (2361)Memory used [KB]: 2686
% 0.19/0.56  % (2361)Time elapsed: 0.007 s
% 0.19/0.56  % (2361)Instructions burned: 8 (million)
% 0.19/0.56  % (2361)------------------------------
% 0.19/0.56  % (2361)------------------------------
% 0.19/0.56  % (2356)Instruction limit reached!
% 0.19/0.56  % (2356)------------------------------
% 0.19/0.56  % (2356)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.56  % (2356)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.56  % (2356)Termination reason: Unknown
% 0.19/0.56  % (2356)Termination phase: Property scanning
% 0.19/0.56  % (2343)dis+21_1:1_av=off:fd=off:lcm=predicate:sos=on:spb=goal:urr=ec_only:i=42:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/42Mi)
% 0.19/0.56  
% 0.19/0.56  % (2356)Memory used [KB]: 2942
% 0.19/0.56  % (2356)Time elapsed: 0.027 s
% 0.19/0.56  % (2356)Instructions burned: 31 (million)
% 0.19/0.56  % (2356)------------------------------
% 0.19/0.56  % (2356)------------------------------
% 0.19/0.56  % (2364)First to succeed.
% 0.19/0.56  % (2369)lrs+10_1:1_av=off:sd=2:sos=on:sp=reverse_arity:ss=axioms:to=lpo:i=73:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/73Mi)
% 0.19/0.56  % (2370)lrs+10_1:1_sos=all:ss=axioms:st=1.5:i=20:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/20Mi)
% 0.19/0.56  % (2345)lrs+10_1:1_bd=off:drc=off:lcm=reverse:nwc=5.0:sd=1:sgt=16:spb=goal_then_units:ss=axioms:to=lpo:i=43:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/43Mi)
% 1.42/0.56  % (2364)Refutation found. Thanks to Tanya!
% 1.42/0.56  % SZS status Unsatisfiable for theBenchmark
% 1.42/0.56  % SZS output start Proof for theBenchmark
% See solution above
% 1.42/0.56  % (2364)------------------------------
% 1.42/0.56  % (2364)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.42/0.56  % (2364)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.42/0.56  % (2364)Termination reason: Refutation
% 1.42/0.56  
% 1.42/0.56  % (2364)Memory used [KB]: 7547
% 1.42/0.56  % (2364)Time elapsed: 0.091 s
% 1.42/0.56  % (2364)Instructions burned: 25 (million)
% 1.42/0.56  % (2364)------------------------------
% 1.42/0.56  % (2364)------------------------------
% 1.42/0.56  % (2341)Success in time 0.215 s
%------------------------------------------------------------------------------