%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV353-1 : 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 : n010.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 01:08:58 PM UTC 2026
% Result : Unsatisfiable 3.47s 1.25s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of formulae : 16 ( 8 unt; 0 def)
% Number of atoms : 31 ( 10 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 15 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 5 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 27 ( 27 usr; 15 con; 0-3 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3581,axiom,
! [X2,X3,X0,X1,X6,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(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))
| 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,X5))))),c_List_Oset(X0,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__Server__imp__YM2_0) ).
fof(f3582,axiom,
! [X2,X3,X10,X0,X11,X1,X8,X6,X9,X7,X4,X5,X12] :
( ~ c_in(c_Event_Oevent_OSays(X7,X8,c_Message_Omsg_OMPair(X9,c_Message_Omsg_OCrypt(c_Public_OshrK(X10),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X11),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X12),X6))))),c_List_Oset(X0,tc_Event_Oevent),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(X5),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(X6,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),tc_Message_Omsg)
| X5 = X12 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Yahalom_OSays__unique__NB_0) ).
fof(f3601,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(f3602,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_NAa),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(f3604,negated_conjecture,
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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f3605,negated_conjecture,
~ 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/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3606,negated_conjecture,
! [X0] :
( X0 != c_Message_Omsg_OKey(v_K)
| v_NA != v_NAa ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f3607,plain,
! [X0] :
( c_Message_Omsg_OKey(v_K) != X0
| v_NAa != v_NA ),
inference(reorient_equations,[],[f3606]) ).
fof(f3608,plain,
v_NAa != v_NA,
inference(equality_resolution,[],[f3607]) ).
fof(f3610,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(v_evso,c_Yahalom_Oyahalom,tc_List_Olist(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 = X4 ),
inference(resolution,[],[f3604,f3582]) ).
fof(f3617,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),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 = X4 ),
inference(forward_subsumption_resolution,[],[f3610,f3601]) ).
fof(f3620,plain,
! [X2,X3,X0,X1,X4] :
( ~ c_in(c_Event_Oevent_OGets(X0,c_Message_Omsg_OMPair(X1,c_Message_Omsg_OCrypt(c_Public_OshrK(X2),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X3),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X4),c_Message_Omsg_ONonce(v_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)
| v_NA = X4 ),
inference(forward_subsumption_resolution,[],[f3617,f3605]) ).
fof(f3625,plain,
( ~ c_in(v_evso,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(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_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent) ),
inference(resolution,[],[f3602,f3581]) ).
fof(f3628,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_NB)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_subsumption_resolution,[],[f3625,f3601]) ).
fof(f3688,plain,
v_NAa = v_NA,
inference(resolution,[],[f3620,f3628]) ).
fof(f3689,plain,
$false,
inference(forward_subsumption_resolution,[],[f3688,f3608]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV353-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.20 % Computer : n010.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 10:42:18 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.23 Running first-order theorem proving
% 0.08/0.23 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
% 3.47/1.25 % (1841527)Input is clausal, will run a generic CNF schedule.
% 3.47/1.25 % (1841536)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2667938924:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.47/1.25 % (1841537)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=701612849:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.47/1.25 % (1841536)Instruction limit reached!
% 3.47/1.25 % (1841536)------------------------------
% 3.47/1.25 % (1841536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (1841536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (1841536)CaDiCaL version: 2.1.3
% 3.47/1.25 % (1841536)Termination reason: Instruction limit
% 3.47/1.25 % (1841536)Termination phase: Saturation
% 3.47/1.25 % (1841536)Time elapsed: 0.041 s
% 3.47/1.25 % (1841536)Peak memory usage: 91 MB
% 3.47/1.25 % (1841536)Instructions burned: 117 (million)
% 3.47/1.25 % (1841535)lrs+10_1_sil=8000:sp=occurrence:random_seed=266784753:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.47/1.25 % (1841532)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=882482425:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.47/1.25 % (1841533)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=639516052:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.47/1.25 % (1841534)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=392237099:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.47/1.25 % (1841538)dis-21_1_sil=8000:lcm=predicate:random_seed=3575759896: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)
% 3.47/1.25 % (1841535)Instruction limit reached!
% 3.47/1.25 % (1841535)------------------------------
% 3.47/1.25 % (1841535)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (1841535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (1841535)CaDiCaL version: 2.1.3
% 3.47/1.25 % (1841535)Termination reason: Instruction limit
% 3.47/1.25 % (1841535)Termination phase: Saturation
% 3.47/1.25 % (1841535)Time elapsed: 0.073 s
% 3.47/1.25 % (1841535)Peak memory usage: 91 MB
% 3.47/1.25 % (1841535)Instructions burned: 108 (million)
% 3.47/1.25 % (1841538)Instruction limit reached!
% 3.47/1.25 % (1841538)------------------------------
% 3.47/1.25 % (1841538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (1841538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (1841538)CaDiCaL version: 2.1.3
% 3.47/1.25 % (1841538)Termination reason: Instruction limit
% 3.47/1.25 % (1841538)Termination phase: Saturation
% 3.47/1.25 % (1841538)Time elapsed: 0.065 s
% 3.47/1.25 % (1841538)Peak memory usage: 91 MB
% 3.47/1.25 % (1841538)Instructions burned: 118 (million)
% 3.47/1.25 % (1841545)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=2992883764:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.47/1.25 % (1841545)First to succeed.
% 3.47/1.25 % (1841545)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1841527"
% 3.47/1.25 % (1841537)Instruction limit reached!
% 3.47/1.25 % (1841537)------------------------------
% 3.47/1.25 % (1841537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (1841537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (1841537)CaDiCaL version: 2.1.3
% 3.47/1.25 % (1841537)Termination reason: Instruction limit
% 3.47/1.25 % (1841537)Termination phase: Saturation
% 3.47/1.25 % (1841537)Time elapsed: 0.106 s
% 3.47/1.25 % (1841537)Peak memory usage: 92 MB
% 3.47/1.25 % (1841537)Instructions burned: 185 (million)
% 3.47/1.25 % (1841548)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1735283064:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 3.47/1.25 % (1841547)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3103977667: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)
% 3.47/1.25 % (1841550)lrs+10_64_to=lpo:sil=8000:random_seed=3245542432:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.47/1.25 % (1841545)Refutation found. Thanks to Tanya!
% 3.47/1.25 % SZS status Unsatisfiable for theBenchmark
% 3.47/1.25 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.25 % (1841545)------------------------------
% 3.47/1.25 % (1841545)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.25 % (1841545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.25 % (1841545)CaDiCaL version: 2.1.3
% 3.47/1.25 % (1841545)Termination reason: Refutation
% 3.47/1.25 % (1841545)Time elapsed: 0.012 s
% 3.47/1.25 % (1841545)Peak memory usage: 91 MB
% 3.47/1.25 % (1841545)Instructions burned: 33 (million)
% 3.47/1.25 % (1841545)------------------------------
% 3.47/1.25 % (1841545)------------------------------
% 3.47/1.25 % (1841527)Success in time 0.481 s
% 3.47/1.25 % Vampire exiting
%------------------------------------------------------------------------------