%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 01:26:21 PM UTC 2026
% Result : Unsatisfiable 2.16s 0.60s
% Output : Refutation 2.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 16 unt; 1 def)
% Number of atoms : 41 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 17 ~; 13 |; 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; 12 con; 0-3 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f287,axiom,
! [X0] :
( ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| hAPP(c_Message_OinvKey,X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f313,axiom,
! [X2,X0,X1] :
( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg))
| hBOOL(c_in(hAPP(c_Message_OinvKey,X0),c_Message_OkeysFor(X1),tc_nat)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
fof(f529,axiom,
! [X0,X1] :
( ~ hBOOL(c_in(X0,c_Message_OsymKeys,tc_nat))
| ~ hBOOL(c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).
fof(f617,negated_conjecture,
hBOOL(c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f618,negated_conjecture,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f619,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f627,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f628,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f627]) ).
fof(f630,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f674,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(definition_unfolding,[],[f618,f628]) ).
fof(f675,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(definition_unfolding,[],[f619,f628]) ).
fof(f678,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,[],[f630,f628]) ).
fof(f756,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(f757,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,[],[f756]) ).
fof(f765,plain,
spl0_2,
inference(avatar_split_clause,[],[f678,f756]) ).
fof(f885,plain,
v_K = hAPP(c_Message_OinvKey,v_K),
inference(resolution,[],[f287,f675]) ).
fof(f2780,plain,
( hBOOL(c_in(hAPP(c_Message_OinvKey,v_K),c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ spl0_2 ),
inference(resolution,[],[f313,f757]) ).
fof(f2797,plain,
( hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| ~ spl0_2 ),
inference(forward_demodulation,[],[f2780,f885]) ).
fof(f7434,plain,
! [X0] :
( ~ hBOOL(c_in(X0,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
| ~ hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(X0),tc_Message_Omsg)) ),
inference(resolution,[],[f529,f675]) ).
fof(f9070,plain,
( ~ hBOOL(c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat))
| hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)) ),
inference(resolution,[],[f7434,f617]) ).
fof(f9074,plain,
( hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg))
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f9070,f2797]) ).
fof(f9087,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f9074,f674]) ).
fof(f9088,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f9087]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f765]) ).
cnf(s275,plain,
~ spl0_2,
inference(sat_conversion,[],[f9088]) ).
cnf(s276,plain,
$false,
inference(rat,[],[s3,s275]) ).
fof(f9089,plain,
$false,
inference(avatar_sat_refutation,[],[s276]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV756-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.20 % Computer : n009.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 12:27:00 UTC 2026
% 0.09/0.20 % CPUTime :
% 0.09/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.24 Running first-order model finding
% 0.09/0.24 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.16/0.60 % (2998957)Will run a generic schedule for satisfiability detection.
% 2.16/0.60 % (2998966)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3624993899:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.16/0.60 % (2998963)% WARNING: option uhcvi not known.
% 2.16/0.60 % (2998963)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2125135030:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.16/0.60 % (2998962)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2489427199_2999 on theBenchmark for (2999ds/0Mi)
% 2.16/0.60 % (2998964)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3658281757:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.16/0.60 % (2998965)dis+10_1_sil=32000:sp=arity:random_seed=1339578971:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.16/0.60 % (2998967)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2893956512:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.16/0.60 % (2998968)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3001879296:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.16/0.60 % (2998966)Instruction limit reached!
% 2.16/0.60 % (2998966)------------------------------
% 2.16/0.60 % (2998966)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998966)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998966)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998966)Termination reason: Instruction limit
% 2.16/0.60 % (2998966)Termination phase: Saturation
% 2.16/0.60 % (2998966)Time elapsed: 0.037 s
% 2.16/0.60 % (2998966)Peak memory usage: 13 MB
% 2.16/0.60 % (2998966)Instructions burned: 116 (million)
% 2.16/0.60 % (2998976)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1196397972:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 2.16/0.60 % (2998965)Instruction limit reached!
% 2.16/0.60 % (2998965)------------------------------
% 2.16/0.60 % (2998965)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998965)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998965)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998965)Termination reason: Instruction limit
% 2.16/0.60 % (2998965)Termination phase: Saturation
% 2.16/0.60 % (2998965)Time elapsed: 0.066 s
% 2.16/0.60 % (2998965)Peak memory usage: 13 MB
% 2.16/0.60 % (2998965)Instructions burned: 103 (million)
% 2.16/0.60 % (2998978)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=773568689:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.16/0.60 % (2998968)Instruction limit reached!
% 2.16/0.60 % (2998968)------------------------------
% 2.16/0.60 % (2998968)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998968)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998968)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998968)Termination reason: Instruction limit
% 2.16/0.60 % (2998968)Termination phase: Saturation
% 2.16/0.60 % (2998968)Time elapsed: 0.101 s
% 2.16/0.60 % (2998968)Peak memory usage: 13 MB
% 2.16/0.60 % (2998968)Instructions burned: 159 (million)
% 2.16/0.60 % (2998967)Instruction limit reached!
% 2.16/0.60 % (2998967)------------------------------
% 2.16/0.60 % (2998967)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998967)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998967)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998967)Termination reason: Instruction limit
% 2.16/0.60 % (2998967)Termination phase: Saturation
% 2.16/0.60 % (2998967)Time elapsed: 0.102 s
% 2.16/0.60 % (2998967)Peak memory usage: 13 MB
% 2.16/0.60 % (2998967)Instructions burned: 132 (million)
% 2.16/0.60 % (2998980)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=3664941194:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.16/0.60 % (2998981)ott-21_1_sil=16000:fs=off:random_seed=645512838:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.16/0.60 % TRYING [1]
% 2.16/0.60 % TRYING [2]
% 2.16/0.60 % (2998978)Instruction limit reached!
% 2.16/0.60 % (2998978)------------------------------
% 2.16/0.60 % (2998978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998978)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998978)Termination reason: Instruction limit
% 2.16/0.60 % (2998978)Termination phase: Saturation
% 2.16/0.60 % (2998978)Time elapsed: 0.083 s
% 2.16/0.60 % (2998978)Peak memory usage: 14 MB
% 2.16/0.60 % (2998978)Instructions burned: 131 (million)
% 2.16/0.60 % (2998984)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1393163172:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.16/0.60 % TRYING [3]
% 2.16/0.60 % (2998981)Instruction limit reached!
% 2.16/0.60 % (2998981)------------------------------
% 2.16/0.60 % (2998981)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998981)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998981)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998981)Termination reason: Instruction limit
% 2.16/0.60 % (2998981)Termination phase: Saturation
% 2.16/0.60 % (2998981)Time elapsed: 0.074 s
% 2.16/0.60 % (2998981)Peak memory usage: 12 MB
% 2.16/0.60 % (2998981)Instructions burned: 180 (million)
% 2.16/0.60 % TRYING [1]
% 2.16/0.60 % (2998976)Instruction limit reached!
% 2.16/0.60 % (2998976)------------------------------
% 2.16/0.60 % (2998976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998976)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998976)Termination reason: Instruction limit
% 2.16/0.60 % (2998976)Termination phase: Finite model building constraint generation
% 2.16/0.60 % (2998976)Time elapsed: 0.171 s
% 2.16/0.60 % (2998976)Peak memory usage: 30 MB
% 2.16/0.60 % (2998976)Instructions burned: 716 (million)
% 2.16/0.60 % TRYING [2]
% 2.16/0.60 % (2998986)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=130855532:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.16/0.60 % (2998987)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=194637151:i=1179_2997 on theBenchmark for (2997ds/1179Mi)
% 2.16/0.60 % (2998963) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2998957-2998963"...
% 2.16/0.60 % (2998963)...printing done.
% 2.16/0.60 % TRYING [3]
% 2.16/0.60 % (2998963)Refutation found. Thanks to Tanya!
% 2.16/0.60 % SZS status Unsatisfiable for theBenchmark
% 2.16/0.60 % SZS output start Proof for theBenchmark
% See solution above
% 2.16/0.60 % (2998963)------------------------------
% 2.16/0.60 % (2998963)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.16/0.60 % (2998963)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.16/0.60 % (2998963)CaDiCaL version: 2.1.3
% 2.16/0.60 % (2998963)Termination reason: Refutation
% 2.16/0.60 % (2998963)Time elapsed: 0.294 s
% 2.16/0.60 % (2998963)Peak memory usage: 17 MB
% 2.16/0.60 % (2998963)Instructions burned: 464 (million)
% 2.16/0.60 % (2998957)Success in time 0.353 s
% 2.16/0.60 % Vampire exiting
%------------------------------------------------------------------------------