%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV750-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n014.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 01:19:24 PM UTC 2026
% Result : Unsatisfiable 4.09s 1.37s
% Output : Refutation 4.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 17 unt; 2 def)
% Number of atoms : 46 ( 17 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 16 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 2 avg)
% Maximal term depth : 10 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 24 ( 24 usr; 15 con; 0-3 aty)
% Number of variables : 18 ( 0 sgn 18 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f718,axiom,
! [X2,X3,X0,X1,X8,X6,X9,X7,X4,X5] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X7,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X7),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X8),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X9))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| ~ hBOOL(c_in(X2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X3,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X4),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X5),X6))))),c_List_Oset(X2,tc_Event_Oevent),tc_Event_Oevent))
| X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_unique__session__keys_1) ).
fof(f763,negated_conjecture,
hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f765,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f768,negated_conjecture,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f769,plain,
c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) = v_X,
inference(reorient_equations,[],[f768]) ).
fof(f770,negated_conjecture,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f772,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f773,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f772]) ).
fof(f774,negated_conjecture,
( v_K != v_Ka
| v_NA != c_Message_Omsg_ONonce(v_NAa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f775,plain,
( v_Ka != v_K
| c_Message_Omsg_ONonce(v_NAa) != v_NA ),
inference(reorient_equations,[],[f774]) ).
fof(f821,definition,
( spl0_4
<=> c_Message_Omsg_ONonce(v_NAa) = v_NA ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f822,plain,
( c_Message_Omsg_ONonce(v_NAa) != v_NA
| spl0_4 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f824,definition,
( spl0_5
<=> v_Ka = v_K ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f825,plain,
( v_Ka != v_K
| spl0_5 ),
inference(avatar_component_clause,[],[f824]) ).
fof(f826,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(avatar_split_clause,[],[f775,f824,f821]) ).
fof(f827,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f825,f773]) ).
fof(f828,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f827]) ).
fof(f833,plain,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa))),
inference(forward_demodulation,[],[f769,f773]) ).
fof(f1052,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(v_evso,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))
| v_NA = X1 ),
inference(resolution,[],[f770,f718]) ).
fof(f1065,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),X3))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent))
| v_NA = X1 ),
inference(forward_subsumption_resolution,[],[f1052,f763]) ).
fof(f1183,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_Aa)))))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
inference(forward_demodulation,[],[f765,f773]) ).
fof(f1184,plain,
hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent)),
inference(forward_demodulation,[],[f1183,f833]) ).
fof(f2542,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(resolution,[],[f1065,f1184]) ).
fof(f2544,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[],[f2542,f822]) ).
fof(f2545,plain,
spl0_4,
inference(avatar_contradiction_clause,[],[f2544]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5 ),
inference(sat_conversion,[],[f826]) ).
cnf(s3,plain,
spl0_5,
inference(sat_conversion,[],[f828]) ).
cnf(s47,plain,
spl0_4,
inference(sat_conversion,[],[f2545]) ).
cnf(s53,plain,
$false,
inference(rat,[],[s2,s3,s47]) ).
fof(f2547,plain,
$false,
inference(avatar_sat_refutation,[],[s53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV750-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.18 % Computer : n014.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 12:26:01 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.21 Running first-order theorem proving
% 0.07/0.21 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
% 4.09/1.37 % (1750258)Input is clausal, will run a generic CNF schedule.
% 4.09/1.37 % (1750266)lrs+10_1_sil=8000:sp=occurrence:random_seed=1161886391:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.09/1.37 % (1750266)Instruction limit reached!
% 4.09/1.37 % (1750266)------------------------------
% 4.09/1.37 % (1750266)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.37 % (1750266)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.37 % (1750266)CaDiCaL version: 2.1.3
% 4.09/1.37 % (1750266)Termination reason: Instruction limit
% 4.09/1.37 % (1750266)Termination phase: Saturation
% 4.09/1.37 % (1750266)Time elapsed: 0.039 s
% 4.09/1.37 % (1750266)Peak memory usage: 89 MB
% 4.09/1.37 % (1750266)Instructions burned: 108 (million)
% 4.09/1.37 % (1750268)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2224366856:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.09/1.37 % (1750267)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3129479386:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.09/1.37 % (1750263)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=1399170246:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.09/1.37 % (1750264)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=279586194:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.09/1.37 % (1750269)dis-21_1_sil=8000:lcm=predicate:random_seed=2481688424: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)
% 4.09/1.37 % (1750265)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=392669575:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.09/1.37 % (1750269)Instruction limit reached!
% 4.09/1.37 % (1750269)------------------------------
% 4.09/1.37 % (1750269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.37 % (1750269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.37 % (1750269)CaDiCaL version: 2.1.3
% 4.09/1.37 % (1750269)Termination reason: Instruction limit
% 4.09/1.37 % (1750269)Termination phase: Saturation
% 4.09/1.37 % (1750269)Time elapsed: 0.060 s
% 4.09/1.37 % (1750269)Peak memory usage: 89 MB
% 4.09/1.37 % (1750269)Instructions burned: 119 (million)
% 4.09/1.37 % (1750267)Instruction limit reached!
% 4.09/1.37 % (1750267)------------------------------
% 4.09/1.37 % (1750267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.37 % (1750267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.37 % (1750267)CaDiCaL version: 2.1.3
% 4.09/1.37 % (1750267)Termination reason: Instruction limit
% 4.09/1.37 % (1750267)Termination phase: Saturation
% 4.09/1.37 % (1750267)Time elapsed: 0.076 s
% 4.09/1.37 % (1750267)Peak memory usage: 89 MB
% 4.09/1.37 % (1750267)Instructions burned: 115 (million)
% 4.09/1.37 % (1750271)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=2943363200:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 4.09/1.37 % (1750268)Instruction limit reached!
% 4.09/1.37 % (1750268)------------------------------
% 4.09/1.37 % (1750268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.37 % (1750268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.37 % (1750268)CaDiCaL version: 2.1.3
% 4.09/1.37 % (1750268)Termination reason: Instruction limit
% 4.09/1.37 % (1750268)Termination phase: Saturation
% 4.09/1.37 % (1750268)Time elapsed: 0.120 s
% 4.09/1.37 % (1750268)Peak memory usage: 90 MB
% 4.09/1.37 % (1750268)Instructions burned: 181 (million)
% 4.09/1.37 % (1750271)First to succeed.
% 4.09/1.37 % (1750271)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-1750258"
% 4.09/1.37 % (1750278)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2255951970:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 4.09/1.37 % (1750279)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3396074024:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.09/1.37 % (1750279)Also succeeded, but the first one will report.
% 4.09/1.37 % (1750281)lrs+10_64_to=lpo:sil=8000:random_seed=3367808217:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 4.09/1.37 % (1750278)Instruction limit reached!
% 4.09/1.37 % (1750278)------------------------------
% 4.09/1.37 % (1750278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.37 % (1750278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.37 % (1750278)CaDiCaL version: 2.1.3
% 4.09/1.37 % (1750278)Termination reason: Instruction limit
% 4.09/1.37 % (1750278)Termination phase: Saturation
% 4.09/1.37 % (1750278)Time elapsed: 0.106 s
% 4.09/1.37 % (1750278)Peak memory usage: 91 MB
% 4.09/1.37 % (1750278)Instructions burned: 190 (million)
% 4.09/1.37 % (1750271)Refutation found. Thanks to Tanya!
% 4.09/1.37 % SZS status Unsatisfiable for theBenchmark
% 4.09/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.09/1.37 % (1750271)------------------------------
% 4.09/1.37 % (1750271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.09/1.37 % (1750271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.09/1.37 % (1750271)CaDiCaL version: 2.1.3
% 4.09/1.37 % (1750271)Termination reason: Refutation
% 4.09/1.37 % (1750271)Time elapsed: 0.047 s
% 4.09/1.37 % (1750271)Peak memory usage: 91 MB
% 4.09/1.37 % (1750271)Instructions burned: 138 (million)
% 4.09/1.37 % (1750271)------------------------------
% 4.09/1.37 % (1750271)------------------------------
% 4.09/1.37 % (1750258)Success in time 0.517 s
% 4.09/1.37 % Vampire exiting
%------------------------------------------------------------------------------