TSTP Solution File: SWV757-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV757-1 : TPTP v8.1.2. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s

% Computer : n020.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 : Sat Sep  2 13:58:05 EDT 2023

% Result   : Unsatisfiable 40.95s 6.51s
% Output   : Refutation 40.95s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   30 (  23 unt;   0 def)
%            Number of atoms       :   40 (  24 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   33 (  23   ~;  10   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   2 usr;   1 prp; 0-2 aty)
%            Number of functors    :   12 (  12 usr;   5 con; 0-3 aty)
%            Number of variables   :   65 (;  65   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f262165,plain,
    $false,
    inference(trivial_inequality_removal,[],[f262164]) ).

fof(f262164,plain,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
    inference(superposition,[],[f261433,f261310]) ).

fof(f261310,plain,
    ! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
    inference(unit_resulting_resolution,[],[f167,f259546,f333]) ).

fof(f333,axiom,
    ! [X0,X1,X8,X13] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X13,X1,X8),X0))
      | hBOOL(hAPP(X1,X0))
      | X0 = X13 ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_insert__code_0) ).

fof(f259546,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OEncryption,X3))),
    inference(unit_resulting_resolution,[],[f402,f49440,f333]) ).

fof(f49440,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,c_Set_Oinsert(c_Public_Okeymode_OSignature,X0,X1),X2),X3)),
    inference(unit_resulting_resolution,[],[f27979,f330,f31]) ).

fof(f31,axiom,
    ! [X11,X12] :
      ( ~ hBOOL(hAPP(X11,c_Public_Okeymode_OEncryption))
      | ~ hBOOL(hAPP(X11,c_Public_Okeymode_OSignature))
      | hBOOL(hAPP(X11,X12)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_keymode_Oinduct_0) ).

fof(f330,axiom,
    ! [X0,X1,X8] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X8),X0)),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_insert__code_1) ).

fof(f27979,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
    inference(unit_resulting_resolution,[],[f330,f338]) ).

fof(f338,axiom,
    ! [X0,X1,X8,X13] :
      ( ~ hBOOL(hAPP(X1,X0))
      | hBOOL(hAPP(c_Set_Oinsert(X13,X1,X8),X0)) ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_insert__code_2) ).

fof(f402,axiom,
    ! [X31,X0,X8] : c_List_Olist_OCons(X0,X31,X8) != X31,
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_not__Cons__self_0) ).

fof(f167,axiom,
    ! [X0,X8] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X8,tc_bool)),X0)),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_bot1E_0) ).

fof(f261433,plain,
    ! [X195,X196] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(c_Message_Oagent_OSpy,X196,X195),
    inference(superposition,[],[f100405,f261310]) ).

fof(f100405,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(c_Message_Oagent_OFriend(X2),X3,X1),
    inference(forward_demodulation,[],[f99583,f1693]) ).

fof(f1693,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,tc_bool),tc_bool) = X0,
    inference(unit_resulting_resolution,[],[f579,f22]) ).

fof(f22,axiom,
    ! [X0,X8] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(X0,X8),X8) = X0 ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_double__compl_0) ).

fof(f579,axiom,
    class_Lattices_Oboolean__algebra(tc_bool),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',clsarity_bool__Lattices_Oboolean__algebra) ).

fof(f99583,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X2),tc_bool),tc_bool),X3,X1),
    inference(unit_resulting_resolution,[],[f60154,f441]) ).

fof(f441,axiom,
    ! [X29,X8,X9,X60,X30] :
      ( c_List_Olist_OCons(X29,X30,X8) != c_List_Olist_OCons(X9,X60,X8)
      | X9 = X29 ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_list_Oinject_0) ).

fof(f60154,plain,
    ! [X0] : c_Message_Oagent_OSpy != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X0),tc_bool),tc_bool),
    inference(forward_demodulation,[],[f60135,f1693]) ).

fof(f60135,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OSpy,tc_bool),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X0),tc_bool),tc_bool),
    inference(unit_resulting_resolution,[],[f579,f59738,f41]) ).

fof(f41,axiom,
    ! [X0,X8,X13] :
      ( ~ class_Lattices_Oboolean__algebra(X8)
      | X0 = X13
      | c_HOL_Ouminus__class_Ouminus(X0,X8) != c_HOL_Ouminus__class_Ouminus(X13,X8) ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_compl__eq__compl__iff_0) ).

fof(f59738,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OFriend(X0),tc_bool) != c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OSpy,tc_bool),
    inference(forward_demodulation,[],[f56395,f187]) ).

fof(f187,axiom,
    ! [X22] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X22)) = X22,
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_invKey_0) ).

fof(f56395,plain,
    ! [X0] : c_HOL_Ouminus__class_Ouminus(c_Message_Oagent_OSpy,tc_bool) != c_HOL_Ouminus__class_Ouminus(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),tc_bool),
    inference(unit_resulting_resolution,[],[f579,f3151,f41]) ).

fof(f3151,plain,
    ! [X0] : c_Message_Oagent_OSpy != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),
    inference(forward_demodulation,[],[f3146,f187]) ).

fof(f3146,plain,
    ! [X0] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OSpy)) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),
    inference(unit_resulting_resolution,[],[f2988,f61]) ).

fof(f61,axiom,
    ! [X22,X23] :
      ( hAPP(c_Message_OinvKey,X22) != hAPP(c_Message_OinvKey,X23)
      | X22 = X23 ),
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_invKey__eq_0) ).

fof(f2988,plain,
    ! [X0] : hAPP(c_Message_OinvKey,c_Message_Oagent_OSpy) != hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0)),
    inference(unit_resulting_resolution,[],[f9,f61]) ).

fof(f9,axiom,
    ! [X6] : c_Message_Oagent_OFriend(X6) != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox2/tmp/tmp.ydaRbx49km/Vampire---4.8_14185',cls_agent_Osimps_I6_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.18  % Problem    : SWV757-1 : TPTP v8.1.2. Released v4.1.0.
% 0.12/0.20  % Command    : vampire --ignore_missing on --mode portfolio/casc [--schedule casc_hol_2020] -p tptp -om szs -t %d %s
% 0.20/0.42  % Computer : n020.cluster.edu
% 0.20/0.42  % Model    : x86_64 x86_64
% 0.20/0.42  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.42  % Memory   : 8042.1875MB
% 0.20/0.42  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.20/0.42  % CPULimit   : 300
% 0.20/0.42  % WCLimit    : 300
% 0.20/0.42  % DateTime   : Wed Aug 30 17:42:13 EDT 2023
% 0.20/0.42  % CPUTime    : 
% 0.28/0.49  % (14311)Running in auto input_syntax mode. Trying TPTP
% 0.28/0.52  % (14316)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on Vampire---4 for (533ds/0Mi)
% 0.28/0.52  % (14313)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on Vampire---4 for (793ds/0Mi)
% 0.28/0.52  % (14314)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 Vampire---4 for (569ds/0Mi)
% 0.28/0.52  % (14317)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 Vampire---4 for (531ds/0Mi)
% 0.28/0.52  % (14318)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 Vampire---4 for (522ds/0Mi)
% 0.28/0.52  % (14319)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 Vampire---4 for (497ds/0Mi)
% 0.28/0.52  % (14312)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on Vampire---4 for (846ds/0Mi)
% 0.79/0.69  TRYING [1]
% 1.60/0.72  TRYING [2]
% 3.32/0.96  TRYING [3]
% 4.00/1.07  TRYING [1]
% 4.00/1.13  TRYING [2]
% 9.01/1.78  TRYING [1]
% 9.01/1.80  TRYING [2]
% 10.70/2.00  TRYING [3]
% 10.70/2.08  TRYING [3]
% 11.23/2.09  TRYING [4]
% 19.57/3.29  TRYING [4]
% 30.60/4.86  TRYING [4]
% 38.02/6.04  TRYING [5]
% 40.95/6.49  % (14319)First to succeed.
% 40.95/6.51  % (14319)Refutation found. Thanks to Tanya!
% 40.95/6.51  % SZS status Unsatisfiable for Vampire---4
% 40.95/6.51  % SZS output start Proof for Vampire---4
% See solution above
% 40.95/6.51  % (14319)------------------------------
% 40.95/6.51  % (14319)Version: Vampire 4.7 (commit 05ef610bd on 2023-06-21 19:03:17 +0100)
% 40.95/6.51  % (14319)Linked with Z3 4.9.1.0 6ed071b44407cf6623b8d3c0dceb2a8fb7040cee z3-4.8.4-6427-g6ed071b44
% 40.95/6.51  % (14319)Termination reason: Refutation
% 40.95/6.51  
% 40.95/6.51  % (14319)Memory used [KB]: 155562
% 40.95/6.51  % (14319)Time elapsed: 5.958 s
% 40.95/6.51  % (14319)------------------------------
% 40.95/6.51  % (14319)------------------------------
% 40.95/6.51  % (14311)Success in time 6.022 s
% 40.95/6.51  % Vampire---4.8 exiting
%------------------------------------------------------------------------------