TSTP Solution File: SWV354-2 by SnakeForV---1.0
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%------------------------------------------------------------------------------
% File : SnakeForV---1.0
% Problem : SWV354-2 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% Computer : n027.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 : Wed Aug 31 18:45:16 EDT 2022
% Result : Unsatisfiable 1.11s 0.51s
% Output : Refutation 1.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 40 ( 8 unt; 0 def)
% Number of atoms : 97 ( 27 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 104 ( 47 ~; 53 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 prp; 0-3 aty)
% Number of functors : 30 ( 30 usr; 16 con; 0-3 aty)
% Number of variables : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f61,plain,
$false,
inference(avatar_sat_refutation,[],[f20,f34,f45,f51,f60]) ).
fof(f60,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f59]) ).
fof(f59,plain,
( $false
| ~ spl0_1
| spl0_2 ),
inference(subsumption_resolution,[],[f58,f19]) ).
fof(f19,plain,
( v_NAa != v_NA
| spl0_2 ),
inference(avatar_component_clause,[],[f17]) ).
fof(f17,plain,
( spl0_2
<=> v_NAa = v_NA ),
introduced(avatar_definition,[new_symbols(naming,[spl0_2])]) ).
fof(f58,plain,
( v_NAa = v_NA
| ~ spl0_1 ),
inference(resolution,[],[f52,f35]) ).
fof(f35,plain,
c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(subsumption_resolution,[],[f25,f5]) ).
fof(f5,axiom,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f25,plain,
( c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
inference(resolution,[],[f6,f2]) ).
fof(f2,axiom,
! [X2,X0,X1,X8,X6,X9,X4] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(X8,c_Message_Omsg_OMPair(X4,X9)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Event_Oevent_OGets(c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(X4,X9))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
fof(f6,axiom,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_ONonce(v_NBa))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f52,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(v_NBa)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X0 )
| ~ spl0_1 ),
inference(backward_demodulation,[],[f23,f14]) ).
fof(f14,plain,
( v_NBa = v_NB
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f13,plain,
( spl0_1
<=> v_NBa = v_NB ),
introduced(avatar_definition,[new_symbols(naming,[spl0_1])]) ).
fof(f23,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X0 ),
inference(subsumption_resolution,[],[f22,f8]) ).
fof(f8,axiom,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f22,plain,
! [X2,X3,X0,X1,X4] :
( v_NA = X0
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f21,f5]) ).
fof(f21,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Event_Oevent_OGets(X1,c_Message_Omsg_OMPair(X2,c_Message_Omsg_OCrypt(c_Public_OshrK(X3),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X0),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NA = X0 ),
inference(resolution,[],[f7,f3]) ).
fof(f3,axiom,
! [X2,X10,X0,X11,X1,X6,X9,X16,X14,X17,X15,X12,X13] :
( ~ c_in(c_Event_Oevent_OSays(X15,X16,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X17),X9))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| X14 = X17
| c_in(X9,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(c_Event_Oevent_OGets(X10,c_Message_Omsg_OMPair(X11,c_Message_Omsg_OCrypt(c_Public_OshrK(X12),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X13),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X14),X9))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
fof(f7,axiom,
c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f51,plain,
( spl0_1
| ~ spl0_4 ),
inference(avatar_split_clause,[],[f50,f32,f13]) ).
fof(f32,plain,
( spl0_4
<=> ! [X0] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| v_NBa = X0 ) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_4])]) ).
fof(f50,plain,
( v_NBa = v_NB
| ~ spl0_4 ),
inference(subsumption_resolution,[],[f46,f8]) ).
fof(f46,plain,
( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NBa = v_NB
| ~ spl0_4 ),
inference(resolution,[],[f33,f9]) ).
fof(f9,axiom,
c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f33,plain,
( ! [X0] :
( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_NBa = X0 )
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f32]) ).
fof(f45,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f44]) ).
fof(f44,plain,
( $false
| ~ spl0_3 ),
inference(subsumption_resolution,[],[f42,f5]) ).
fof(f42,plain,
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ spl0_3 ),
inference(resolution,[],[f40,f6]) ).
fof(f40,plain,
( ! [X31,X29,X34,X32,X30,X33] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X29,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X29),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X30),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X31,X32)))),X33)),c_List_Oset(X34,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X34,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) )
| ~ spl0_3 ),
inference(superposition,[],[f4,f30]) ).
fof(f30,plain,
( v_K = c_Public_OshrK(v_sko__2VY(v_K))
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f28]) ).
fof(f28,plain,
( spl0_3
<=> v_K = c_Public_OshrK(v_sko__2VY(v_K)) ),
introduced(avatar_definition,[new_symbols(naming,[spl0_3])]) ).
fof(f4,axiom,
! [X2,X0,X1,X18,X6,X9,X4] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(c_Public_OshrK(X18)),c_Message_Omsg_OMPair(X4,X9)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__not__shrK_0) ).
fof(f34,plain,
( spl0_3
| spl0_4 ),
inference(avatar_split_clause,[],[f26,f32,f28]) ).
fof(f26,plain,
! [X0] :
( c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| v_K = c_Public_OshrK(v_sko__2VY(v_K))
| v_NBa = X0
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg) ),
inference(subsumption_resolution,[],[f24,f5]) ).
fof(f24,plain,
! [X0] :
( ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(v_K),c_Event_Oknows(c_Message_Oagent_OSpy,v_evso),tc_Message_Omsg)),tc_Message_Omsg)
| v_K = c_Public_OshrK(v_sko__2VY(v_K))
| v_NBa = X0
| c_in(c_Message_Omsg_ONonce(X0),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
inference(resolution,[],[f6,f1]) ).
fof(f1,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X1,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X4,c_Message_Omsg_ONonce(X5))))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X5 = X7
| ~ c_in(c_Message_Omsg_ONonce(X7),c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X3),c_Event_Oknows(c_Message_Oagent_OSpy,X0),tc_Message_Omsg)),tc_Message_Omsg)
| c_Public_OshrK(v_sko__2VY(X3)) = X3 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Osingle__Nonce__secrecy_0) ).
fof(f20,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f11,f17,f13]) ).
fof(f11,plain,
( v_NAa != v_NA
| v_NBa != v_NB ),
inference(equality_resolution,[],[f10]) ).
fof(f10,axiom,
! [X19] :
( c_Message_Omsg_OKey(v_K) != X19
| v_NAa != v_NA
| v_NBa != v_NB ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_9) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SWV354-2 : TPTP v8.1.0. Released v3.2.0.
% 0.08/0.14 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_uns --cores 0 -t %d %s
% 0.15/0.36 % Computer : n027.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Tue Aug 30 19:34:46 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.49 % (11819)fmb+10_1:1_fmbes=contour:fmbsr=2.0:fmbsso=input_usage:i=6:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/6Mi)
% 0.22/0.49 % (11811)lrs+1010_1:4_amm=off:bce=on:sd=1:sos=on:ss=included:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.22/0.50 % (11819)Instruction limit reached!
% 0.22/0.50 % (11819)------------------------------
% 0.22/0.50 % (11819)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.22/0.51 % (11811)First to succeed.
% 0.22/0.51 % (11819)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.22/0.51 % (11819)Termination reason: Unknown
% 0.22/0.51 % (11819)Termination phase: Finite model building preprocessing
% 0.22/0.51
% 0.22/0.51 % (11819)Memory used [KB]: 1407
% 0.22/0.51 % (11819)Time elapsed: 0.006 s
% 0.22/0.51 % (11819)Instructions burned: 6 (million)
% 0.22/0.51 % (11819)------------------------------
% 0.22/0.51 % (11819)------------------------------
% 1.11/0.51 % (11811)Refutation found. Thanks to Tanya!
% 1.11/0.51 % SZS status Unsatisfiable for theBenchmark
% 1.11/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.11/0.51 % (11811)------------------------------
% 1.11/0.51 % (11811)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.11/0.51 % (11811)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.11/0.51 % (11811)Termination reason: Refutation
% 1.11/0.51
% 1.11/0.51 % (11811)Memory used [KB]: 6012
% 1.11/0.51 % (11811)Time elapsed: 0.096 s
% 1.11/0.51 % (11811)Instructions burned: 6 (million)
% 1.11/0.51 % (11811)------------------------------
% 1.11/0.51 % (11811)------------------------------
% 1.11/0.51 % (11803)Success in time 0.142 s
%------------------------------------------------------------------------------