TSTP Solution File: SWV730-1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : SWV730-1 : 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 : n019.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 06:35:18 EDT 2024

% Result   : Unsatisfiable 198.28s 28.69s
% Output   : Refutation 198.28s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   22 (  17 unt;   0 def)
%            Number of atoms       :   29 (  16 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   23 (  16   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   4 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   5 con; 0-3 aty)
%            Number of variables   :   55 (  55   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1462453,plain,
    $false,
    inference(trivial_inequality_removal,[],[f1462452]) ).

fof(f1462452,plain,
    c_Public_Okeymode_OEncryption != c_Public_Okeymode_OEncryption,
    inference(superposition,[],[f1461443,f1461292]) ).

fof(f1461292,plain,
    ! [X0,X1] : c_Public_Okeymode_OEncryption = c_List_Olist_OCons(X0,c_Public_Okeymode_OSignature,X1),
    inference(unit_resulting_resolution,[],[f34,f1398141,f398]) ).

fof(f398,axiom,
    ! [X3,X9,X4,X24] :
      ( ~ hBOOL(hAPP(c_Set_Oinsert(X24,X9,X4),X3))
      | hBOOL(hAPP(X9,X3))
      | X3 = X24 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_0) ).

fof(f1398141,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),c_List_Olist_OCons(X2,c_Public_Okeymode_OSignature,X3))),
    inference(unit_resulting_resolution,[],[f368,f1332173,f398]) ).

fof(f1332173,plain,
    ! [X2,X3,X0,X1] : hBOOL(hAPP(c_Set_Oinsert(c_Public_Okeymode_OSignature,c_Set_Oinsert(c_Public_Okeymode_OEncryption,X0,X1),X2),X3)),
    inference(unit_resulting_resolution,[],[f415,f59695,f25]) ).

fof(f25,axiom,
    ! [X2,X16] :
      ( ~ hBOOL(hAPP(X2,c_Public_Okeymode_OEncryption))
      | ~ hBOOL(hAPP(X2,c_Public_Okeymode_OSignature))
      | hBOOL(hAPP(X2,X16)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_keymode_Oinduct_0) ).

fof(f59695,plain,
    ! [X2,X3,X0,X1,X4] : hBOOL(hAPP(c_Set_Oinsert(X0,c_Set_Oinsert(X1,X2,X3),X4),X1)),
    inference(unit_resulting_resolution,[],[f415,f377]) ).

fof(f377,axiom,
    ! [X3,X9,X4,X24] :
      ( ~ hBOOL(hAPP(X9,X3))
      | hBOOL(hAPP(c_Set_Oinsert(X24,X9,X4),X3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_2) ).

fof(f415,axiom,
    ! [X3,X9,X4] : hBOOL(hAPP(c_Set_Oinsert(X3,X9,X4),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_insert__code_1) ).

fof(f368,axiom,
    ! [X3,X29,X4] : c_List_Olist_OCons(X3,X29,X4) != X29,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_not__Cons__self2_0) ).

fof(f34,axiom,
    ! [X3,X4] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X4,tc_bool)),X3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_bot1E_0) ).

fof(f1461443,plain,
    ! [X2,X1] : c_Public_Okeymode_OEncryption != c_List_Olist_OCons(c_Message_Oagent_OSpy,X2,X1),
    inference(superposition,[],[f216633,f1461292]) ).

fof(f216633,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,[],[f215572,f416]) ).

fof(f416,axiom,
    ! [X34] : hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,X34)) = X34,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey_0) ).

fof(f215572,plain,
    ! [X2,X3,X0,X1] : c_List_Olist_OCons(c_Message_Oagent_OSpy,X0,X1) != c_List_Olist_OCons(hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X2))),X3,X1),
    inference(unit_resulting_resolution,[],[f5152,f421]) ).

fof(f421,axiom,
    ! [X62,X4,X5,X61,X64] :
      ( c_List_Olist_OCons(X61,X62,X4) != c_List_Olist_OCons(X5,X64,X4)
      | X5 = X61 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_list_Oinject_0) ).

fof(f5152,plain,
    ! [X0] : c_Message_Oagent_OSpy != hAPP(c_Message_OinvKey,hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0))),
    inference(forward_demodulation,[],[f5147,f416]) ).

fof(f5147,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,[],[f4752,f389]) ).

fof(f389,axiom,
    ! [X34,X63] :
      ( hAPP(c_Message_OinvKey,X34) != hAPP(c_Message_OinvKey,X63)
      | X34 = X63 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_invKey__eq_0) ).

fof(f4752,plain,
    ! [X0] : hAPP(c_Message_OinvKey,c_Message_Oagent_OFriend(X0)) != hAPP(c_Message_OinvKey,c_Message_Oagent_OSpy),
    inference(unit_resulting_resolution,[],[f3,f389]) ).

fof(f3,axiom,
    ! [X0] : c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_agent_Osimps_I7_J_0) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem    : SWV730-1 : TPTP v8.2.0. Released v4.1.0.
% 0.11/0.14  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.13/0.35  % Computer : n019.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit   : 300
% 0.13/0.35  % WCLimit    : 300
% 0.13/0.35  % DateTime   : Sun May 19 06:45:08 EDT 2024
% 0.13/0.35  % CPUTime    : 
% 0.13/0.35  % (678)Running in auto input_syntax mode. Trying TPTP
% 0.13/0.40  % (696)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)
% 0.13/0.41  % (693)WARNING: value z3 for option sas not known
% 0.13/0.41  % (691)fmb+10_1_bce=on:fmbas=function:fmbsr=1.2:fde=unused:nm=0_846 on theBenchmark for (846ds/0Mi)
% 0.13/0.41  % (692)fmb+10_1_bce=on:fmbdsb=on:fmbes=contour:fmbswr=3:fde=none:nm=0_793 on theBenchmark for (793ds/0Mi)
% 0.13/0.41  % (694)fmb+10_1_bce=on:fmbsr=1.5:nm=32_533 on theBenchmark for (533ds/0Mi)
% 0.13/0.41  % (693)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)
% 0.13/0.41  % (695)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)
% 0.13/0.41  % (697)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)
% 1.62/0.61  TRYING [1]
% 1.62/0.63  TRYING [2]
% 3.47/0.92  TRYING [3]
% 4.70/1.07  TRYING [1]
% 5.14/1.14  TRYING [2]
% 8.90/1.66  TRYING [1]
% 8.90/1.68  TRYING [2]
% 9.99/1.81  TRYING [3]
% 9.99/1.85  TRYING [4]
% 12.02/2.11  TRYING [3]
% 14.90/2.50  TRYING [4]
% 27.39/4.28  TRYING [4]
% 34.44/5.31  TRYING [5]
% 37.52/5.80  TRYING [5]
% 69.70/10.35  TRYING [5]
% 102.06/14.93  TRYING [6]
% 109.90/16.06  TRYING [6]
% 198.28/28.62  % (697)First to succeed.
% 198.28/28.62  % (697)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-678"
% 198.28/28.69  % (697)Refutation found. Thanks to Tanya!
% 198.28/28.69  % SZS status Unsatisfiable for theBenchmark
% 198.28/28.69  % SZS output start Proof for theBenchmark
% See solution above
% 198.28/28.69  % (697)------------------------------
% 198.28/28.69  % (697)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 198.28/28.69  % (697)Termination reason: Refutation
% 198.28/28.69  
% 198.28/28.69  % (697)Memory used [KB]: 653224
% 198.28/28.69  % (697)Time elapsed: 28.212 s
% 198.28/28.69  % (697)Instructions burned: 91016 (million)
% 198.28/28.69  % (678)Success in time 28.017 s
%------------------------------------------------------------------------------