%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV763-1 : 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 : n019.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 01:26:22 PM UTC 2026
% Result : Unsatisfiable 0.80s 0.41s
% Output : Refutation 0.80s
% 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 : 20 ( 20 usr; 11 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f525,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(f544,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(f636,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_0) ).
fof(f637,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_1) ).
fof(f638,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f646,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f647,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f646]) ).
fof(f649,negated_conjecture,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_KAB,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_10) ).
fof(f690,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(definition_unfolding,[],[f637,f647]) ).
fof(f691,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(definition_unfolding,[],[f638,f647]) ).
fof(f694,plain,
hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2)),tc_Message_Omsg)),
inference(definition_unfolding,[],[f649,f647]) ).
fof(f1009,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,[],[f525]) ).
fof(f1025,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,[],[f544]) ).
fof(f1068,plain,
~ hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
inference(consistent_polarity_flipping,[],[f636]) ).
fof(f1069,plain,
hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(consistent_polarity_flipping,[],[f690]) ).
fof(f1070,plain,
~ hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(consistent_polarity_flipping,[],[f691]) ).
fof(f1073,plain,
~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,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,[],[f694]) ).
fof(f1103,definition,
( spl0_2
<=> hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,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(f1104,plain,
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,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,[],[f1103]) ).
fof(f1111,plain,
~ spl0_2,
inference(avatar_split_clause,[],[f1073,f1103]) ).
fof(f7108,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,[],[f1025,f1069]) ).
fof(f7118,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,[],[f7108,f1068]) ).
fof(f7121,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,[],[f7118,f1070]) ).
fof(f7292,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,[],[f7121,f1009]) ).
fof(f7297,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,[],[f7292,f1070]) ).
fof(f7319,plain,
( $false
| spl0_2 ),
inference(backward_subsumption_resolution,[],[f1104,f7297]) ).
fof(f7328,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f7319]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f1111]) ).
cnf(s365,plain,
spl0_2,
inference(sat_conversion,[],[f7328]) ).
cnf(s367,plain,
$false,
inference(rat,[],[s2,s365]) ).
fof(f7329,plain,
$false,
inference(avatar_sat_refutation,[],[s367]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV763-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.19 % Computer : n019.cluster.edu
% 0.08/0.19 % Model : x86_64 x86_64
% 0.08/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.19 % Memory : 8046.5625MB
% 0.08/0.19 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 12:30:18 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22 Running first-order model finding
% 0.08/0.22 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
% 0.80/0.41 % (3971465)Will run a generic schedule for satisfiability detection.
% 0.80/0.41 % (3971471)% WARNING: option uhcvi not known.
% 0.80/0.41 % (3971471)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2241093495:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.80/0.41 % (3971470)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=4209161231_2999 on theBenchmark for (2999ds/0Mi)
% 0.80/0.41 % (3971472)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2592802244:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.80/0.41 % (3971473)dis+10_1_sil=32000:sp=arity:random_seed=2781366490:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.80/0.41 % (3971474)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2850492167:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.80/0.41 % (3971475)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3035886880:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.80/0.41 % (3971476)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=339348202:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.80/0.41 % (3971473)Instruction limit reached!
% 0.80/0.41 % (3971473)------------------------------
% 0.80/0.41 % (3971473)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3971473)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3971473)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3971473)Termination reason: Instruction limit
% 0.80/0.41 % (3971473)Termination phase: Saturation
% 0.80/0.41 % (3971473)Time elapsed: 0.067 s
% 0.80/0.41 % (3971473)Peak memory usage: 13 MB
% 0.80/0.41 % (3971473)Instructions burned: 103 (million)
% 0.80/0.41 % (3971474)Instruction limit reached!
% 0.80/0.41 % (3971474)------------------------------
% 0.80/0.41 % (3971474)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3971474)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3971474)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3971474)Termination reason: Instruction limit
% 0.80/0.41 % (3971474)Termination phase: Saturation
% 0.80/0.41 % (3971474)Time elapsed: 0.069 s
% 0.80/0.41 % (3971474)Peak memory usage: 13 MB
% 0.80/0.41 % (3971474)Instructions burned: 117 (million)
% 0.80/0.41 % (3971475)Instruction limit reached!
% 0.80/0.41 % (3971475)------------------------------
% 0.80/0.41 % (3971475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3971475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3971475)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3971475)Termination reason: Instruction limit
% 0.80/0.41 % (3971475)Termination phase: Saturation
% 0.80/0.41 % (3971475)Time elapsed: 0.083 s
% 0.80/0.41 % (3971475)Peak memory usage: 13 MB
% 0.80/0.41 % (3971475)Instructions burned: 131 (million)
% 0.80/0.41 % (3971484)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=245795281:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 0.80/0.41 % (3971485)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1428655609:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.80/0.41 % (3971486)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=790031449:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.80/0.41 % (3971476)Instruction limit reached!
% 0.80/0.41 % (3971476)------------------------------
% 0.80/0.41 % (3971476)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3971476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3971476)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3971476)Termination reason: Instruction limit
% 0.80/0.41 % (3971476)Termination phase: Saturation
% 0.80/0.41 % (3971476)Time elapsed: 0.113 s
% 0.80/0.41 % (3971476)Peak memory usage: 14 MB
% 0.80/0.41 % (3971476)Instructions burned: 159 (million)
% 0.80/0.41 % (3971471) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3971465-3971471"...
% 0.80/0.41 % (3971471)...printing done.
% 0.80/0.41 % (3971471)Refutation found. Thanks to Tanya!
% 0.80/0.41 % SZS status Unsatisfiable for theBenchmark
% 0.80/0.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.80/0.41 % (3971471)------------------------------
% 0.80/0.41 % (3971471)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.80/0.41 % (3971471)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.80/0.41 % (3971471)CaDiCaL version: 2.1.3
% 0.80/0.41 % (3971471)Termination reason: Refutation
% 0.80/0.41 % (3971471)Time elapsed: 0.123 s
% 0.80/0.41 % (3971471)Peak memory usage: 16 MB
% 0.80/0.41 % (3971471)Instructions burned: 358 (million)
% 0.80/0.41 % (3971465)Success in time 0.18 s
% 0.80/0.41 % Vampire exiting
%------------------------------------------------------------------------------