## TSTP Solution File: SWV314-2 by Vampire-SAT---4.7

View Problem - Process Solution

```%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.7
% Problem  : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s

% Computer : n026.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 : Thu Sep 29 14:59:11 EDT 2022

% Result   : Unsatisfiable 0.21s 0.43s
% Output   : Refutation 0.21s
% Verified :
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   11 (   7 unt;   0 def)
%            Number of atoms       :   25 (   0 equ)
%            Maximal formula atoms :    6 (   2 avg)
%            Number of connectives :   29 (  15   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :    7 (   2 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   23 (  23 usr;  13 con; 0-3 aty)
%            Number of variables   :   15 (  15   !;   0   ?)

%------------------------------------------------------------------------------
fof(f17,plain,
\$false,
inference(global_subsumption,[],[f5,f6,f1,f16]) ).

fof(f16,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)
| ~ c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f11,f2]) ).

fof(f2,axiom,
~ c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f11,plain,
! [X6,X7,X4,X5] :
( c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X5)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Message_Omsg_OKey(X5),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X6,c_Message_Omsg_OKey(X5))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(X7,c_Message_Omsg_OKey(X5)))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f8,f4]) ).

fof(f4,axiom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f8,plain,
! [X2,X3,X0,X1,X4] :
| ~ c_in(X1,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X2)))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(X3,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(X3,c_Message_Omsg_OKey(X2))),c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(X4,c_Message_Omsg_OKey(X2)))))),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f7,f3]) ).

fof(f3,axiom,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f7,axiom,
! [X2,X3,X0,X1,X4,X5] :
| ~ c_in(X0,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_OKey(X4),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| c_in(c_Event_Oevent_ONotes(c_Message_Oagent_OSpy,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(X2,c_Message_Omsg_OKey(X4))),c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OKey(X4)))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_OtwayRees_Osecrecy__lemma__dest_0) ).

fof(f1,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f6,axiom,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f5,axiom,
c_in(v_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : SWV314-2 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.14  % Command    : vampire --ignore_missing on --mode casc_sat --cores 8 -t %d %s
% 0.15/0.35  % Computer : n026.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Sun Sep  4 02:36:39 EDT 2022
% 0.15/0.35  % CPUTime    :
% 0.15/0.35  This is a CNF_UNS_RFO_NEQ_NHN problem
% 0.15/0.36  % (26266)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.42  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.15/0.42  % (26277)fmb+10_1_av=off:fmbsr=1.1:updr=off_300 on theBenchmark
% 0.15/0.42  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.15/0.42  % (26275)fmb+10_1_av=off:bce=on:fmbes=smt:fmbsr=1.4:fde=none:ile=on:updr=off_600 on theBenchmark
% 0.15/0.42  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.15/0.42  % (26271)fmb+10_1_av=off:fmbsr=1.4_57 on theBenchmark
% 0.21/0.42  TRYING [1]
% 0.21/0.42  TRYING [2]
% 0.21/0.42  % (26272)dis-1_3_av=off:cond=on:fsr=off:gs=on:gsem=on:nwc=1:updr=off_2 on theBenchmark
% 0.21/0.42  TRYING [1]
% 0.21/0.42  WARNING Broken Constraint: if avatar(off) has been set then saturation_algorithm(fmb) is equal to lrs or saturation_algorithm(fmb) is equal to otter or saturation_algorithm(fmb) is equal to discount
% 0.21/0.42  TRYING [2]
% 0.21/0.42  % (26276)fmb+10_1_av=off:bce=on:fmbsr=1.3:nm=2:newcnf=on_1200 on theBenchmark
% 0.21/0.42  % (26272)First to succeed.
% 0.21/0.43  % (26272)Refutation found. Thanks to Tanya!
% 0.21/0.43  % SZS status Unsatisfiable for theBenchmark
% 0.21/0.43  % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.43  % (26272)------------------------------
% 0.21/0.43  % (26272)Version: Vampire 4.7 (commit 2d02e4655 on 2022-07-11 21:15:24 +0200)
% 0.21/0.43  % (26272)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.21/0.43  % (26272)Termination reason: Refutation
% 0.21/0.43
% 0.21/0.43  % (26272)Memory used [KB]: 5500
% 0.21/0.43  % (26272)Time elapsed: 0.004 s
% 0.21/0.43  % (26272)------------------------------
% 0.21/0.43  % (26272)------------------------------
% 0.21/0.43  % (26266)Success in time 0.07 s
%------------------------------------------------------------------------------
```