%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:26:23 PM UTC 2026
% Result : Unsatisfiable 1.49s 0.52s
% Output : Refutation 1.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 8
% Syntax : Number of formulae : 31 ( 21 unt; 1 def)
% Number of atoms : 48 ( 2 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 32 ( 15 ~; 16 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f472,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(X0,c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).
fof(f507,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f613,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f614,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f615,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f622,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f623,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f622]) ).
fof(f628,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f668,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(definition_unfolding,[],[f614,f623]) ).
fof(f669,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(definition_unfolding,[],[f615,f623]) ).
fof(f673,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f628,f623]) ).
fof(f860,plain,
! [X2,X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_OkeysFor(X1),tc_nat))
| hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) ),
inference(consistent_polarity_flipping,[],[f472]) ).
fof(f885,plain,
! [X0,X1] :
( ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg))
| hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)) ),
inference(consistent_polarity_flipping,[],[f507]) ).
fof(f941,plain,
~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(consistent_polarity_flipping,[],[f613]) ).
fof(f942,plain,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f668]) ).
fof(f943,plain,
~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(consistent_polarity_flipping,[],[f669]) ).
fof(f946,plain,
~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f673]) ).
fof(f972,definition,
( spl0_2
<=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f973,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg))
| spl0_2 ),
inference(avatar_component_clause,[],[f972]) ).
fof(f981,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f946,f972]) ).
fof(f6610,plain,
( hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(resolution,[],[f885,f942]) ).
fof(f6618,plain,
( hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)) ),
inference(forward_subsumption_resolution,[],[f6610,f941]) ).
fof(f6620,plain,
hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)),
inference(forward_subsumption_resolution,[],[f6618,f943]) ).
fof(f6926,plain,
! [X0] :
( hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat))
| hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)) ),
inference(resolution,[],[f6620,f860]) ).
fof(f6929,plain,
! [X0] : hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(forward_subsumption_resolution,[],[f6926,f943]) ).
fof(f7058,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[],[f973,f6929]) ).
fof(f7065,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f7058]) ).
cnf(s3,plain,
~ spl0_2,
inference(sat_conversion,[],[f981]) ).
cnf(s169,plain,
spl0_2,
inference(sat_conversion,[],[f7065]) ).
cnf(s170,plain,
$false,
inference(rat,[],[s3,s169]) ).
fof(f7066,plain,
$false,
inference(avatar_sat_refutation,[],[s170]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 12:30:07 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.49/0.52 % (320951)Will run a generic schedule for satisfiability detection.
% 1.49/0.52 % (320960)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3254805963:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.49/0.52 % (320957)% WARNING: option uhcvi not known.
% 1.49/0.52 % (320956)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2598077880_2999 on theBenchmark for (2999ds/0Mi)
% 1.49/0.52 % (320957)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3576478922:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.49/0.52 % (320958)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2005240690:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.49/0.52 % (320959)dis+10_1_sil=32000:sp=arity:random_seed=3667674882:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.49/0.52 % (320961)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1713854998:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.49/0.52 % (320962)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1660991489:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.49/0.52 % (320960)Instruction limit reached!
% 1.49/0.52 % (320960)------------------------------
% 1.49/0.52 % (320960)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320960)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320960)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320960)Termination reason: Instruction limit
% 1.49/0.52 % (320960)Termination phase: Saturation
% 1.49/0.52 % (320960)Time elapsed: 0.039 s
% 1.49/0.52 % (320960)Peak memory usage: 13 MB
% 1.49/0.52 % (320960)Instructions burned: 116 (million)
% 1.49/0.52 % (320970)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=2730827094:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.49/0.52 % (320959)Instruction limit reached!
% 1.49/0.52 % (320959)------------------------------
% 1.49/0.52 % (320959)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320959)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320959)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320959)Termination reason: Instruction limit
% 1.49/0.52 % (320959)Termination phase: Saturation
% 1.49/0.52 % (320959)Time elapsed: 0.067 s
% 1.49/0.52 % (320959)Peak memory usage: 13 MB
% 1.49/0.52 % (320959)Instructions burned: 104 (million)
% 1.49/0.52 % (320972)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3630538902:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.49/0.52 % (320961)Instruction limit reached!
% 1.49/0.52 % (320961)------------------------------
% 1.49/0.52 % (320961)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320961)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320961)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320961)Termination reason: Instruction limit
% 1.49/0.52 % (320961)Termination phase: Saturation
% 1.49/0.52 % (320961)Time elapsed: 0.089 s
% 1.49/0.52 % (320961)Peak memory usage: 13 MB
% 1.49/0.52 % (320961)Instructions burned: 131 (million)
% 1.49/0.52 % (320962)Instruction limit reached!
% 1.49/0.52 % (320962)------------------------------
% 1.49/0.52 % (320962)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320962)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320962)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320962)Termination reason: Instruction limit
% 1.49/0.52 % (320962)Termination phase: Saturation
% 1.49/0.52 % (320962)Time elapsed: 0.106 s
% 1.49/0.52 % (320962)Peak memory usage: 14 MB
% 1.49/0.52 % (320962)Instructions burned: 159 (million)
% 1.49/0.52 % (320974)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=4167138441:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.49/0.52 % (320975)ott-21_1_sil=16000:fs=off:random_seed=2483969451:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.49/0.52 % TRYING [1]
% 1.49/0.52 % TRYING [2]
% 1.49/0.52 % (320972)Instruction limit reached!
% 1.49/0.52 % (320972)------------------------------
% 1.49/0.52 % (320972)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320972)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320972)Termination reason: Instruction limit
% 1.49/0.52 % (320972)Termination phase: Saturation
% 1.49/0.52 % (320972)Time elapsed: 0.081 s
% 1.49/0.52 % (320972)Peak memory usage: 14 MB
% 1.49/0.52 % (320972)Instructions burned: 131 (million)
% 1.49/0.52 % (320978)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1946974171:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.49/0.52 % TRYING [1]
% 1.49/0.52 % TRYING [3]
% 1.49/0.52 % (320975)Instruction limit reached!
% 1.49/0.52 % (320975)------------------------------
% 1.49/0.52 % (320975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320975)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320975)Termination reason: Instruction limit
% 1.49/0.52 % (320975)Termination phase: Saturation
% 1.49/0.52 % (320975)Time elapsed: 0.067 s
% 1.49/0.52 % (320975)Peak memory usage: 12 MB
% 1.49/0.52 % (320975)Instructions burned: 180 (million)
% 1.49/0.52 % TRYING [2]
% 1.49/0.52 % (320970)Instruction limit reached!
% 1.49/0.52 % (320970)------------------------------
% 1.49/0.52 % (320970)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.52 % (320970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.52 % (320970)CaDiCaL version: 2.1.3
% 1.49/0.52 % (320970)Termination reason: Instruction limit
% 1.49/0.52 % (320970)Termination phase: Finite model building constraint generation
% 1.49/0.52 % (320970)Time elapsed: 0.169 s
% 1.49/0.52 % (320970)Peak memory usage: 30 MB
% 1.49/0.52 % (320970)Instructions burned: 714 (million)
% 1.49/0.52 % (320980)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1056081950:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.49/0.52 % (320981)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=132824109:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 1.49/0.52 % (320957) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-320951-320957"...
% 1.49/0.52 % (320957)...printing done.
% 1.49/0.52 % (320957)Refutation found. Thanks to Tanya!
% 1.49/0.52 % SZS status Unsatisfiable for theBenchmark
% 1.49/0.52 % SZS output start Proof for theBenchmark
% See solution above
% 1.49/0.53 % (320957)------------------------------
% 1.49/0.53 % (320957)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.49/0.53 % (320957)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.49/0.53 % (320957)CaDiCaL version: 2.1.3
% 1.49/0.53 % (320957)Termination reason: Refutation
% 1.49/0.53 % (320957)Time elapsed: 0.226 s
% 1.49/0.53 % (320957)Peak memory usage: 16 MB
% 1.49/0.53 % (320957)Instructions burned: 353 (million)
% 1.49/0.53 % (320951)Success in time 0.298 s
% 1.49/0.53 % Vampire exiting
%------------------------------------------------------------------------------