TSTP Solution File: SWV321-2 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV321-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n003.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 Apr 30 16:44:22 EDT 2024

% Result   : Unsatisfiable 0.11s 0.34s
% Output   : Refutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   14
% Syntax   : Number of formulae    :   35 (   2 unt;   0 def)
%            Number of atoms       :   76 (   0 equ)
%            Maximal formula atoms :    3 (   2 avg)
%            Number of connectives :   72 (  31   ~;  38   |;   0   &)
%                                         (   3 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    5 (   4 usr;   4 prp; 0-3 aty)
%            Number of functors    :   15 (  15 usr;   7 con; 0-3 aty)
%            Number of variables   :   21 (  21   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f46,plain,
    $false,
    inference(avatar_sat_refutation,[],[f20,f25,f26,f32,f45]) ).

fof(f45,plain,
    ( ~ spl0_1
    | spl0_3 ),
    inference(avatar_contradiction_clause,[],[f44]) ).

fof(f44,plain,
    ( $false
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f42,f33]) ).

fof(f33,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_3 ),
    inference(resolution,[],[f24,f7]) ).

fof(f7,axiom,
    ! [X2,X4] :
      ( c_in(X4,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(X4,c_Message_Oanalz(X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f24,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_3 ),
    inference(avatar_component_clause,[],[f22]) ).

fof(f22,plain,
    ( spl0_3
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).

fof(f42,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_1
    | spl0_3 ),
    inference(resolution,[],[f41,f6]) ).

fof(f6,axiom,
    ! [X2,X3] :
      ( ~ c_in(c_Message_Omsg_OKey(X3),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OKey(X3),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OKey__synth_0) ).

fof(f41,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_1
    | spl0_3 ),
    inference(subsumption_resolution,[],[f40,f24]) ).

fof(f40,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(resolution,[],[f37,f14]) ).

fof(f14,plain,
    ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | ~ spl0_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f13,plain,
    ( spl0_1
  <=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).

fof(f37,plain,
    ! [X0] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
      | c_in(X0,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference(resolution,[],[f36,f10]) ).

fof(f10,axiom,
    ! [X8,X7,X4,X5] :
      ( ~ c_in(X4,c_union(X5,X7,X8),X8)
      | c_in(X4,X7,X8)
      | c_in(X4,X5,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OUnE_0) ).

fof(f36,plain,
    ! [X0] :
      ( c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    inference(resolution,[],[f5,f1]) ).

fof(f1,axiom,
    c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f5,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f32,plain,
    ( spl0_1
    | ~ spl0_2 ),
    inference(avatar_contradiction_clause,[],[f31]) ).

fof(f31,plain,
    ( $false
    | spl0_1
    | ~ spl0_2 ),
    inference(subsumption_resolution,[],[f30,f18]) ).

fof(f18,plain,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ spl0_2 ),
    inference(avatar_component_clause,[],[f17]) ).

fof(f17,plain,
    ( spl0_2
  <=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
    introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).

fof(f30,plain,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | spl0_1 ),
    inference(resolution,[],[f29,f9]) ).

fof(f9,axiom,
    ! [X6,X5] :
      ( c_in(c_Message_Omsg_OKey(c_Public_OshrK(X5)),c_Event_Oknows(c_Message_Oagent_OSpy,X6),tc_Message_Omsg)
      | ~ c_in(X5,c_Event_Obad,tc_Message_Oagent) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Public_OSpy__spies__bad__shrK_0) ).

fof(f29,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f28,f11]) ).

fof(f11,axiom,
    ! [X10,X8,X9,X7] :
      ( c_in(X9,c_insert(X10,X7,X8),X8)
      | ~ c_in(X9,X7,X8) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Set_OinsertCI_0) ).

fof(f28,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg),tc_Message_Omsg)
    | spl0_1 ),
    inference(resolution,[],[f15,f8]) ).

fof(f8,axiom,
    ! [X2,X1] :
      ( c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg)
      | ~ c_in(X1,X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OInj_0) ).

fof(f15,plain,
    ( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg)
    | spl0_1 ),
    inference(avatar_component_clause,[],[f13]) ).

fof(f26,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[],[f4,f17,f13]) ).

fof(f4,axiom,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f25,plain,
    ( ~ spl0_3
    | spl0_2 ),
    inference(avatar_split_clause,[],[f2,f17,f22]) ).

fof(f2,axiom,
    ( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f20,plain,
    ( ~ spl0_1
    | ~ spl0_2 ),
    inference(avatar_split_clause,[],[f3,f17,f13]) ).

fof(f3,axiom,
    ( ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent)
    | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10  % Problem    : SWV321-2 : TPTP v8.1.2. Released v3.2.0.
% 0.02/0.12  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.32  % Computer : n003.cluster.edu
% 0.11/0.32  % Model    : x86_64 x86_64
% 0.11/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32  % Memory   : 8042.1875MB
% 0.11/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32  % CPULimit   : 300
% 0.11/0.32  % WCLimit    : 300
% 0.11/0.32  % DateTime   : Tue Apr 30 04:48:48 EDT 2024
% 0.11/0.32  % CPUTime    : 
% 0.11/0.32  % (7310)Running in auto input_syntax mode. Trying TPTP
% 0.11/0.34  % (7314)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.11/0.34  % (7315)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.11/0.34  % (7311)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (7317)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.11/0.34  % (7316)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.11/0.34  % (7312)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.11/0.34  % (7313)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.11/0.34  Detected minimum model sizes of [1,1,1,1]
% 0.11/0.34  Detected maximum model sizes of [max,1,1,2]
% 0.11/0.34  TRYING [1,1,1,1]
% 0.11/0.34  TRYING [2,1,1,1]
% 0.11/0.34  % (7316)First to succeed.
% 0.11/0.34  TRYING [1]
% 0.11/0.34  TRYING [1]
% 0.11/0.34  % (7313)Also succeeded, but the first one will report.
% 0.11/0.34  Detected minimum model sizes of [1,1,1,1]
% 0.11/0.34  Detected maximum model sizes of [max,1,1,2]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [1,1,1,1]
% 0.11/0.34  TRYING [2]
% 0.11/0.34  TRYING [3,1,1,1]
% 0.11/0.34  TRYING [2,1,1,1]
% 0.11/0.34  % (7316)Refutation found. Thanks to Tanya!
% 0.11/0.34  % SZS status Unsatisfiable for theBenchmark
% 0.11/0.34  % SZS output start Proof for theBenchmark
% See solution above
% 0.11/0.34  % (7316)------------------------------
% 0.11/0.34  % (7316)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 0.11/0.34  % (7316)Termination reason: Refutation
% 0.11/0.34  
% 0.11/0.34  % (7316)Memory used [KB]: 762
% 0.11/0.34  % (7316)Time elapsed: 0.003 s
% 0.11/0.34  % (7316)Instructions burned: 4 (million)
% 0.11/0.34  % (7316)------------------------------
% 0.11/0.34  % (7316)------------------------------
% 0.11/0.34  % (7310)Success in time 0.018 s
%------------------------------------------------------------------------------