%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV345-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n018.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 01:08:56 PM UTC 2026
% Result : Unsatisfiable 3.89s 1.39s
% Output : Refutation 3.89s
% 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(f3573,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)
| X10 = X5 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_Ounique__session__keys__dest_3) ).
fof(f3574,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))
| X5 = X10 ),
inference(reorient_equations,[],[f3573]) ).
fof(f3577,negated_conjecture,
c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3578,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3579,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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f3582,negated_conjecture,
v_nb != c_Message_Omsg_ONonce(v_NB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f3583,plain,
c_Message_Omsg_ONonce(v_NB) != v_nb,
inference(reorient_equations,[],[f3582]) ).
fof(f3600,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_nb = X3 ),
inference(resolution,[],[f3579,f3574]) ).
fof(f3602,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_nb = X3 ),
inference(forward_subsumption_resolution,[],[f3600,f3577]) ).
fof(f3623,plain,
c_Message_Omsg_ONonce(v_NB) = v_nb,
inference(resolution,[],[f3602,f3578]) ).
fof(f3625,plain,
$false,
inference(forward_subsumption_resolution,[],[f3623,f3583]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV345-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n018.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 10:42:25 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.89/1.39 % (3292480)Input is clausal, will run a generic CNF schedule.
% 3.89/1.39 % (3292491)dis-21_1_sil=8000:lcm=predicate:random_seed=3351240095:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.89/1.39 % (3292491)Instruction limit reached!
% 3.89/1.39 % (3292491)------------------------------
% 3.89/1.39 % (3292491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.39 % (3292491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.39 % (3292491)CaDiCaL version: 2.1.3
% 3.89/1.39 % (3292491)Termination reason: Instruction limit
% 3.89/1.39 % (3292491)Termination phase: Saturation
% 3.89/1.39 % (3292491)Time elapsed: 0.036 s
% 3.89/1.39 % (3292491)Peak memory usage: 91 MB
% 3.89/1.39 % (3292491)Instructions burned: 117 (million)
% 3.89/1.39 % (3292485)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=3505452375:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.89/1.39 % (3292487)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=395676825:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.89/1.39 % (3292490)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2916866986:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.89/1.39 % (3292486)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3548245800:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.89/1.39 % (3292489)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2286119000:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.89/1.39 % (3292488)lrs+10_1_sil=8000:sp=occurrence:random_seed=3924565110:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.89/1.39 % (3292489)Instruction limit reached!
% 3.89/1.39 % (3292489)------------------------------
% 3.89/1.39 % (3292489)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.39 % (3292489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.39 % (3292489)CaDiCaL version: 2.1.3
% 3.89/1.39 % (3292489)Termination reason: Instruction limit
% 3.89/1.39 % (3292489)Termination phase: Saturation
% 3.89/1.39 % (3292489)Time elapsed: 0.073 s
% 3.89/1.39 % (3292489)Peak memory usage: 90 MB
% 3.89/1.39 % (3292489)Instructions burned: 115 (million)
% 3.89/1.39 % (3292488)Instruction limit reached!
% 3.89/1.39 % (3292488)------------------------------
% 3.89/1.39 % (3292488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.39 % (3292488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.39 % (3292488)CaDiCaL version: 2.1.3
% 3.89/1.39 % (3292488)Termination reason: Instruction limit
% 3.89/1.39 % (3292488)Termination phase: Saturation
% 3.89/1.39 % (3292488)Time elapsed: 0.073 s
% 3.89/1.39 % (3292488)Peak memory usage: 91 MB
% 3.89/1.39 % (3292488)Instructions burned: 107 (million)
% 3.89/1.39 % (3292490)Instruction limit reached!
% 3.89/1.39 % (3292490)------------------------------
% 3.89/1.39 % (3292490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.39 % (3292490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.39 % (3292490)CaDiCaL version: 2.1.3
% 3.89/1.39 % (3292490)Termination reason: Instruction limit
% 3.89/1.39 % (3292490)Termination phase: Saturation
% 3.89/1.39 % (3292490)Time elapsed: 0.106 s
% 3.89/1.39 % (3292490)Peak memory usage: 91 MB
% 3.89/1.39 % (3292490)Instructions burned: 181 (million)
% 3.89/1.39 % (3292493)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=693780883:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.89/1.39 % (3292493)First to succeed.
% 3.89/1.39 % (3292493)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3292480"
% 3.89/1.39 % (3292500)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=410029070:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 3.89/1.39 % (3292501)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3320602902:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.89/1.39 % (3292501)Also succeeded, but the first one will report.
% 3.89/1.39 % (3292493)Refutation found. Thanks to Tanya!
% 3.89/1.39 % SZS status Unsatisfiable for theBenchmark
% 3.89/1.39 % SZS output start Proof for theBenchmark
% See solution above
% 3.89/1.39 % (3292493)------------------------------
% 3.89/1.39 % (3292493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.89/1.39 % (3292493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.89/1.39 % (3292493)CaDiCaL version: 2.1.3
% 3.89/1.39 % (3292493)Termination reason: Refutation
% 3.89/1.39 % (3292493)Time elapsed: 0.010 s
% 3.89/1.39 % (3292493)Peak memory usage: 90 MB
% 3.89/1.39 % (3292493)Instructions burned: 25 (million)
% 3.89/1.39 % (3292493)------------------------------
% 3.89/1.39 % (3292493)------------------------------
% 3.89/1.39 % (3292480)Success in time 0.532 s
% 3.89/1.39 % Vampire exiting
%------------------------------------------------------------------------------