%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV346-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n003.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:21:00 PM UTC 2026
% Result : Unsatisfiable 0.07s 0.26s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 5
% Syntax : Number of formulae : 11 ( 7 unt; 0 def)
% Number of atoms : 20 ( 7 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 20 ( 11 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 14 con; 0-3 aty)
% Number of variables : 34 ( 34 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| ~ 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,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| X9 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_2) ).
fof(f2,plain,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X7),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(X3),c_Message_Omsg_OMPair(X9,X10)))),X11)),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(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,X5)))),X6)),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(X0,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| X4 = X9 ),
inference(reorient_equations,[],[f1]) ).
fof(f3,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f4,negated_conjecture,
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_NA),c_Message_Omsg_ONonce(v_NB))))),v_X)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f5,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(v_na,v_nb)))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OKey(v_K))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f6,negated_conjecture,
v_na != c_Message_Omsg_ONonce(v_NA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f7,plain,
c_Message_Omsg_ONonce(v_NA) != v_na,
inference(reorient_equations,[],[f6]) ).
fof(f9,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| v_na = X2 ),
inference(resolution,[],[f2,f5]) ).
fof(f10,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(X0),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_K),c_Message_Omsg_OMPair(X2,X3)))),X4)),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_na = X2 ),
inference(forward_subsumption_resolution,[],[f9,f3]) ).
fof(f12,plain,
c_Message_Omsg_ONonce(v_NA) = v_na,
inference(resolution,[],[f10,f4]) ).
fof(f14,plain,
$false,
inference(forward_subsumption_resolution,[],[f12,f7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV346-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n003.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 10:42:12 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.21 Running first-order model finding
% 0.07/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.26 % (1500703)Will run a generic schedule for satisfiability detection.
% 0.07/0.26 % (1500708)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1305172165_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.26 % TRYING [1]
% 0.07/0.26 % TRYING [2]
% 0.07/0.26 % (1500709)% WARNING: option uhcvi not known.
% 0.07/0.26 % (1500709)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2843810876:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.26 % (1500710)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3564165003:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.26 % (1500711)dis+10_1_sil=32000:sp=arity:random_seed=3111228358:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.26 % (1500712)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2125515332:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.26 % (1500713)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1594353146:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.26 % (1500714)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4069346870:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.26 % TRYING [3]
% 0.07/0.26 % (1500711) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1500703-1500711"...
% 0.07/0.26 % (1500709) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1500703-1500709"...
% 0.07/0.26 % (1500712) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1500703-1500712"...
% 0.07/0.26 % (1500713) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1500703-1500713"...
% 0.07/0.26 % (1500710) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1500703-1500710"...
% 0.07/0.26 % (1500714) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1500703-1500714"...
% 0.07/0.26 % (1500711)...printing done.
% 0.07/0.26 % (1500712)...printing done.
% 0.07/0.26 % (1500709)...printing done.
% 0.07/0.26 % (1500713)...printing done.
% 0.07/0.26 % (1500710)...printing done.
% 0.07/0.26 % (1500714)...printing done.
% 0.07/0.26 % (1500711)Refutation found. Thanks to Tanya!
% 0.07/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.07/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.26 % (1500711)------------------------------
% 0.07/0.26 % (1500711)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.26 % (1500711)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.26 % (1500711)CaDiCaL version: 2.1.3
% 0.07/0.26 % (1500711)Termination reason: Refutation
% 0.07/0.26 % (1500711)Time elapsed: 0.002 s
% 0.07/0.26 % (1500711)Peak memory usage: 11 MB
% 0.07/0.26 % (1500711)Instructions burned: 1 (million)
% 0.07/0.26 % (1500703)Success in time 0.035 s
% 0.07/0.26 % Vampire exiting
%------------------------------------------------------------------------------