TSTP Solution File: SWV722-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV722-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 : Sun May  5 11:10:32 EDT 2024

% Result   : Unsatisfiable 5.78s 1.19s
% Output   : Refutation 5.78s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   12
% Syntax   : Number of formulae    :   33 (  16 unt;   0 def)
%            Number of atoms       :   50 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   37 (  20   ~;  17   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-3 aty)
%            Number of variables   :   72 (  72   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f18311,plain,
    $false,
    inference(resolution,[],[f18289,f579]) ).

fof(f579,plain,
    ! [X0] : ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
    inference(resolution,[],[f487,f576]) ).

fof(f576,plain,
    ~ hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),v_K)),
    inference(resolution,[],[f486,f496]) ).

fof(f496,axiom,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f486,axiom,
    ! [X22,X5,X23] :
      ( c_in(X22,X5,X23)
      | ~ hBOOL(hAPP(X5,X22)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f487,axiom,
    ! [X5,X22,X23] :
      ( hBOOL(hAPP(X5,X22))
      | ~ c_in(X22,X5,X23) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f18289,plain,
    c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f18089,f1819]) ).

fof(f1819,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),X3)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f1383,f487]) ).

fof(f1383,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(c_Message_Oparts(X1),c_Message_Omsg_OMPair(X0,X2)))
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f473,f486]) ).

fof(f473,axiom,
    ! [X2,X46,X16] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X46),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OFst_0) ).

fof(f18089,plain,
    c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f17747,f1810]) ).

fof(f1810,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),X3)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f1373,f487]) ).

fof(f1373,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(c_Message_Oparts(X1),c_Message_Omsg_OMPair(X2,X0)))
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f472,f486]) ).

fof(f472,axiom,
    ! [X2,X46,X16] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X46),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X46,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).

fof(f17747,plain,
    c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f17738,f1810]) ).

fof(f17738,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f13071,f1438]) ).

fof(f1438,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,X3)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f1412,f487]) ).

fof(f1412,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,c_Message_Omsg_OCrypt(X2,X0)))
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f1393,f486]) ).

fof(f1393,plain,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    inference(resolution,[],[f482,f477]) ).

fof(f477,axiom,
    ! [X2,X16] :
      ( c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg)
      | ~ c_in(X2,X16,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).

fof(f482,axiom,
    ! [X2,X6,X16] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X6,X2),c_Message_Oparts(X16),tc_Message_Omsg)
      | c_in(X2,c_Message_Oparts(X16),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).

fof(f13071,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Event_Oknows(c_Message_Oagent_OSpy,v_evs),tc_Message_Omsg),
    inference(resolution,[],[f479,f7705]) ).

fof(f7705,plain,
    ! [X1] : c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),X1),
    inference(superposition,[],[f1885,f759]) ).

fof(f759,plain,
    ! [X0] : c_List_Oset(v_evs,tc_Event_Oevent) = c_Set_Oinsert(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),X0),
    inference(resolution,[],[f721,f495]) ).

fof(f495,axiom,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f721,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,X1,X3)
      | c_Set_Oinsert(X0,X1,X2) = X1 ),
    inference(resolution,[],[f639,f487]) ).

fof(f639,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | c_Set_Oinsert(X0,X1,X2) = X1 ),
    inference(resolution,[],[f251,f486]) ).

fof(f251,axiom,
    ! [X0,X24,X23] :
      ( ~ c_in(X24,X0,X23)
      | c_Set_Oinsert(X24,X0,X23) = X0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

fof(f1885,plain,
    ! [X2,X3,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X3),
    inference(superposition,[],[f247,f723]) ).

fof(f723,plain,
    ! [X2,X3,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3),
    inference(resolution,[],[f639,f347]) ).

fof(f347,axiom,
    ! [X0,X22,X23] : hBOOL(hAPP(c_Set_Oinsert(X22,X0,X23),X22)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f247,axiom,
    ! [X1,X24,X23] : c_in(X24,c_Set_Oinsert(X24,X1,X23),X23),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertI1_0) ).

fof(f479,axiom,
    ! [X2,X0,X1,X26] :
      ( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X26,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X2,c_Event_Oknows(c_Message_Oagent_OSpy,X26),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV722-1 : TPTP v8.1.2. Released v4.1.0.
% 0.11/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n006.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   : Fri May  3 21:07:53 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.34  % (9933)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.38  % (9935)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.38  % (9936)WARNING: value z3 for option sas not known
% 0.13/0.38  % (9934)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.38  % (9937)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.38  % (9938)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)
% 0.13/0.38  % (9936)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)
% 0.13/0.38  % (9939)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)
% 0.13/0.38  % (9940)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)
% 0.20/0.50  TRYING [1]
% 0.20/0.52  TRYING [2]
% 2.44/0.72  TRYING [3]
% 2.44/0.72  TRYING [1]
% 2.92/0.77  TRYING [2]
% 5.78/1.18  % (9939)First to succeed.
% 5.78/1.18  % (9939)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-9933"
% 5.78/1.19  % (9939)Refutation found. Thanks to Tanya!
% 5.78/1.19  % SZS status Unsatisfiable for theBenchmark
% 5.78/1.19  % SZS output start Proof for theBenchmark
% See solution above
% 5.78/1.19  % (9939)------------------------------
% 5.78/1.19  % (9939)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 5.78/1.19  % (9939)Termination reason: Refutation
% 5.78/1.19  
% 5.78/1.19  % (9939)Memory used [KB]: 8763
% 5.78/1.19  % (9939)Time elapsed: 0.800 s
% 5.78/1.19  % (9939)Instructions burned: 1394 (million)
% 5.78/1.19  % (9933)Success in time 0.827 s
%------------------------------------------------------------------------------