TSTP Solution File: SWV756-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV756-1 : 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 : 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 Apr 30 17:06:13 EDT 2024

% Result   : Unsatisfiable 77.16s 11.41s
% Output   : Refutation 77.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   24 (  18 unt;   0 def)
%            Number of atoms       :   32 (  19 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   25 (  17   ~;   8   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   5 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   13 (  13 usr;   6 con; 0-3 aty)
%            Number of variables   :   63 (  63   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f390383,plain,
    $false,
    inference(trivial_inequality_removal,[],[f390382]) ).

fof(f390382,plain,
    c_Public_Okeymode_OSignature != c_Public_Okeymode_OSignature,
    inference(superposition,[],[f390029,f389911]) ).

fof(f389911,plain,
    ! [X0,X1] : c_Public_Okeymode_OSignature = c_List_Olist_OCons(X0,c_Public_Okeymode_OEncryption,X1),
    inference(unit_resulting_resolution,[],[f167,f365154,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/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f365154,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,f69090,f333]) ).

fof(f69090,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,[],[f48405,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/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).

fof(f330,axiom,
    ! [X0,X1,X8] : hBOOL(hAPP(c_Set_Oinsert(X0,X1,X8),X0)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f48405,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/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f402,axiom,
    ! [X31,X0,X8] : c_List_Olist_OCons(X0,X31,X8) != X31,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',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/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f390029,plain,
    ! [X2,X3] : c_Public_Okeymode_OSignature != c_List_Olist_OCons(v_NA,X3,X2),
    inference(superposition,[],[f135813,f389911]) ).

fof(f135813,plain,
    ! [X2,X3,X0,X1,X4] : c_List_Olist_OCons(v_NA,X0,X1) != c_List_Olist_OCons(c_Message_Omsg_OMPair(X2,X3),X4,X1),
    inference(unit_resulting_resolution,[],[f40603,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/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f40603,plain,
    ! [X0,X1] : v_NA != c_Message_Omsg_OMPair(X0,X1),
    inference(forward_demodulation,[],[f40573,f187]) ).

fof(f187,axiom,
    ! [X22] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X22)) = X22,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).

fof(f40573,plain,
    ! [X0,X1] : c_Message_Omsg_OMPair(X0,X1) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,v_NA)),
    inference(superposition,[],[f16561,f555]) ).

fof(f555,axiom,
    c_Message_Omsg_ONonce(v_NAa) = v_NA,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f16561,plain,
    ! [X2,X0,X1] : c_Message_Omsg_OMPair(X0,X1) != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Omsg_ONonce(X2))),
    inference(unit_resulting_resolution,[],[f3101,f3172]) ).

fof(f3172,plain,
    ! [X0,X1] :
      ( hAPP(c_Message_OinvKey,X1) != X0
      | hAPP(c_Message_OinvKey,X0) = X1 ),
    inference(superposition,[],[f61,f187]) ).

fof(f61,axiom,
    ! [X22,X23] :
      ( hAPP(c_Message_OinvKey,X22) != hAPP(c_Message_OinvKey,X23)
      | X22 = X23 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).

fof(f3101,plain,
    ! [X2,X0,X1] : hAPP(c_Message_OinvKey,c_Message_Omsg_OMPair(X0,X1)) != hAPP(c_Message_OinvKey,c_Message_Omsg_ONonce(X2)),
    inference(unit_resulting_resolution,[],[f537,f61]) ).

fof(f537,axiom,
    ! [X70,X71,X6] : c_Message_Omsg_ONonce(X6) != c_Message_Omsg_OMPair(X70,X71),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I35_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11  % Problem    : SWV756-1 : TPTP v8.1.2. Released v4.1.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.11/0.33  % Computer : n017.cluster.edu
% 0.11/0.33  % Model    : x86_64 x86_64
% 0.11/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33  % Memory   : 8042.1875MB
% 0.11/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33  % CPULimit   : 300
% 0.11/0.33  % WCLimit    : 300
% 0.11/0.33  % DateTime   : Tue Apr 30 04:24:03 EDT 2024
% 0.11/0.33  % CPUTime    : 
% 0.11/0.34  % (7297)Running in auto input_syntax mode. Trying TPTP
% 0.17/0.39  % (7300)WARNING: value z3 for option sas not known
% 0.17/0.39  % (7302)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)
% 0.17/0.39  % (7299)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.17/0.39  % (7298)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.17/0.39  % (7300)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)
% 0.17/0.39  % (7304)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)
% 0.17/0.39  % (7303)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)
% 0.17/0.39  % (7301)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 1.50/0.57  TRYING [1]
% 1.64/0.60  TRYING [2]
% 3.50/0.89  TRYING [3]
% 5.03/1.08  TRYING [1]
% 5.03/1.09  TRYING [1]
% 5.03/1.11  TRYING [2]
% 5.03/1.16  TRYING [2]
% 6.78/1.33  TRYING [3]
% 12.31/2.13  TRYING [3]
% 12.31/2.15  TRYING [4]
% 16.35/2.73  TRYING [4]
% 32.96/5.09  TRYING [4]
% 40.72/6.25  TRYING [5]
% 49.23/7.41  TRYING [5]
% 76.87/11.39  % (7304)First to succeed.
% 77.16/11.41  % (7304)Refutation found. Thanks to Tanya!
% 77.16/11.41  % SZS status Unsatisfiable for theBenchmark
% 77.16/11.41  % SZS output start Proof for theBenchmark
% See solution above
% 77.16/11.41  % (7304)------------------------------
% 77.16/11.41  % (7304)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 77.16/11.41  % (7304)Termination reason: Refutation
% 77.16/11.41  
% 77.16/11.41  % (7304)Memory used [KB]: 115336
% 77.16/11.41  % (7304)Time elapsed: 11.003 s
% 77.16/11.41  % (7304)Instructions burned: 20675 (million)
% 77.16/11.41  % (7304)------------------------------
% 77.16/11.41  % (7304)------------------------------
% 77.16/11.41  % (7297)Success in time 11.043 s
%------------------------------------------------------------------------------