TSTP Solution File: SWV721-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV721-1 : TPTP v8.2.0. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n017.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 06:35:16 EDT 2024

% Result   : Unsatisfiable 2.77s 0.78s
% Output   : Refutation 2.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   30 (  16 unt;   0 def)
%            Number of atoms       :   44 (   5 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   31 (  17   ~;  14   |;   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;  11 con; 0-3 aty)
%            Number of variables   :   62 (  62   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f13586,plain,
    $false,
    inference(resolution,[],[f13521,f495]) ).

fof(f495,plain,
    ! [X0] : ~ c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
    inference(resolution,[],[f412,f491]) ).

fof(f491,plain,
    ~ hBOOL(hAPP(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),v_X)),
    inference(resolution,[],[f411,f419]) ).

fof(f419,axiom,
    ~ c_in(v_X,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(f411,axiom,
    ! [X10,X59,X15] :
      ( c_in(X10,X59,X15)
      | ~ hBOOL(hAPP(X59,X10)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f412,axiom,
    ! [X10,X59,X15] :
      ( hBOOL(hAPP(X59,X10))
      | ~ c_in(X10,X59,X15) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f13521,plain,
    c_in(v_X,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f13360,f1421]) ).

fof(f1421,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,[],[f1247,f412]) ).

fof(f1247,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,[],[f399,f411]) ).

fof(f399,axiom,
    ! [X3,X27,X4] :
      ( ~ c_in(c_Message_Omsg_OMPair(X3,X27),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X27,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).

fof(f13360,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,[],[f12936,f1421]) ).

fof(f12936,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,[],[f12934,f1421]) ).

fof(f12934,plain,
    c_in(c_Message_Omsg_OMPair(v_N,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,[],[f11949,f1312]) ).

fof(f1312,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,[],[f1286,f412]) ).

fof(f1286,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,[],[f1267,f411]) ).

fof(f1267,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,[],[f408,f404]) ).

fof(f404,axiom,
    ! [X3,X4] :
      ( c_in(X3,c_Message_Oparts(X4),tc_Message_Omsg)
      | ~ c_in(X3,X4,tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OInj_0) ).

fof(f408,axiom,
    ! [X3,X4,X5] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X5,X3),c_Message_Oparts(X4),tc_Message_Omsg)
      | c_in(X3,c_Message_Oparts(X4),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).

fof(f11949,plain,
    c_in(c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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,[],[f406,f7139]) ).

fof(f7139,plain,
    ! [X1] : c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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,[],[f1475,f655]) ).

fof(f655,plain,
    ! [X0] : c_List_Oset(v_evs,tc_Event_Oevent) = c_Set_Oinsert(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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,[],[f618,f418]) ).

fof(f418,axiom,
    c_in(c_Event_Oevent_OSays(v_S,v_A,c_Message_Omsg_OCrypt(v_KA,c_Message_Omsg_OMPair(v_N,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(f618,plain,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,X1,X3)
      | c_Set_Oinsert(X0,X1,X2) = X1 ),
    inference(resolution,[],[f547,f412]) ).

fof(f547,plain,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | c_Set_Oinsert(X0,X1,X2) = X1 ),
    inference(resolution,[],[f181,f411]) ).

fof(f181,axiom,
    ! [X1,X16,X15] :
      ( ~ c_in(X16,X1,X15)
      | c_Set_Oinsert(X16,X1,X15) = X1 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__absorb_0) ).

fof(f1475,plain,
    ! [X2,X3,X0,X1] : c_in(X0,c_Set_Oinsert(X0,X1,X2),X3),
    inference(superposition,[],[f178,f617]) ).

fof(f617,plain,
    ! [X2,X3,X0,X1] : c_Set_Oinsert(X0,X1,X2) = c_Set_Oinsert(X0,c_Set_Oinsert(X0,X1,X2),X3),
    inference(resolution,[],[f547,f268]) ).

fof(f268,axiom,
    ! [X10,X1,X15] : hBOOL(hAPP(c_Set_Oinsert(X10,X1,X15),X10)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f178,axiom,
    ! [X10,X15,X12] : c_in(X10,c_Set_Oinsert(X10,X12,X15),X15),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insertCI_1) ).

fof(f406,axiom,
    ! [X2,X3,X1,X12] :
      ( ~ c_in(c_Event_Oevent_OSays(X1,X12,X3),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X3,c_Event_Oknows(c_Message_Oagent_OSpy,X2),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__spies_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12  % Problem    : SWV721-1 : TPTP v8.2.0. Released v4.1.0.
% 0.06/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.34  % Computer : n017.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   : Sun May 19 07:06:23 EDT 2024
% 0.13/0.34  % CPUTime    : 
% 0.13/0.35  % (17076)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.39  % (17081)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)
% 0.21/0.39  % (17078)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.21/0.39  % (17077)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.21/0.39  % (17083)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)
% 0.21/0.40  % (17082)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)
% 0.21/0.40  % (17079)WARNING: value z3 for option sas not known
% 0.21/0.41  % (17079)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)
% 0.21/0.41  % (17080)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.21/0.49  TRYING [1]
% 0.21/0.51  TRYING [2]
% 1.77/0.63  TRYING [3]
% 1.77/0.68  TRYING [1]
% 2.25/0.70  TRYING [2]
% 2.77/0.78  % (17082)First to succeed.
% 2.77/0.78  % (17082)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-17076"
% 2.77/0.78  % (17082)Refutation found. Thanks to Tanya!
% 2.77/0.78  % SZS status Unsatisfiable for theBenchmark
% 2.77/0.78  % SZS output start Proof for theBenchmark
% See solution above
% 2.77/0.78  % (17082)------------------------------
% 2.77/0.78  % (17082)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 2.77/0.78  % (17082)Termination reason: Refutation
% 2.77/0.78  
% 2.77/0.78  % (17082)Memory used [KB]: 6526
% 2.77/0.78  % (17082)Time elapsed: 0.381 s
% 2.77/0.78  % (17082)Instructions burned: 937 (million)
% 2.77/0.78  % (17076)Success in time 0.43 s
%------------------------------------------------------------------------------