%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV801-1 : 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 : n017.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 01:26:27 PM UTC 2026
% Result : Unsatisfiable 0.25s 0.57s
% Output : Refutation 0.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 16 unt; 1 def)
% Number of atoms : 42 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 33 ( 18 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 21 ( 21 usr; 11 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f272,axiom,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f446,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
| c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X1),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
fof(f506,axiom,
! [X0,X1] :
( ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| 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(f616,negated_conjecture,
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_2) ).
fof(f617,negated_conjecture,
~ 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_3) ).
fof(f618,negated_conjecture,
c_in(v_KAB,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f625,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f626,plain,
v_KAB = v_K,
inference(reorient_equations,[],[f625]) ).
fof(f628,negated_conjecture,
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/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).
fof(f665,plain,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg),
inference(definition_unfolding,[],[f617,f626]) ).
fof(f666,plain,
c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(definition_unfolding,[],[f618,f626]) ).
fof(f669,plain,
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,f626]) ).
fof(f732,definition,
( spl0_2
<=> 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(f733,plain,
( 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,[],[f732]) ).
fof(f741,plain,
spl0_2,
inference(avatar_split_clause,[],[f669,f732]) ).
fof(f774,plain,
v_K = c_Message_OinvKey(v_K),
inference(resolution,[],[f272,f666]) ).
fof(f1136,plain,
( c_in(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,[],[f446,f733]) ).
fof(f1151,plain,
( 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,[],[f1136,f774]) ).
fof(f5070,plain,
! [X0] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(v_evs2),tc_Message_Omsg) ),
inference(resolution,[],[f506,f616]) ).
fof(f6160,plain,
( ~ c_in(v_K,c_Message_OsymKeys,tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f5070,f1151]) ).
fof(f6163,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f6160,f666]) ).
fof(f6166,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f6163,f665]) ).
fof(f6167,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f6166]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f741]) ).
cnf(s50,plain,
~ spl0_2,
inference(sat_conversion,[],[f6167]) ).
cnf(s51,plain,
$false,
inference(rat,[],[s3,s50]) ).
fof(f6168,plain,
$false,
inference(avatar_sat_refutation,[],[s51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV801-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.24 % Computer : n017.cluster.edu
% 0.12/0.24 % Model : x86_64 x86_64
% 0.12/0.24 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.24 % Memory : 8046.5625MB
% 0.12/0.24 % OS : Linux 6.8.0-71-generic
% 0.12/0.24 % CPULimit : 300
% 0.12/0.24 % WCLimit : 300
% 0.12/0.24 % DateTime : Mon Sep 28 12:31:06 UTC 2026
% 0.12/0.24 % CPUTime :
% 0.12/0.24 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.27 Running first-order model finding
% 0.12/0.27 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
% 1.35/0.57 % (3512286)Will run a generic schedule for satisfiability detection.
% 1.35/0.57 % (3512295)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=175773972:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.35/0.57 % (3512292)% WARNING: option uhcvi not known.
% 1.35/0.57 % (3512291)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2395224759_2999 on theBenchmark for (2999ds/0Mi)
% 1.35/0.57 % (3512292)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1204891994:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.35/0.57 % (3512293)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=968611401:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.35/0.57 % (3512294)dis+10_1_sil=32000:sp=arity:random_seed=1612082004:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.35/0.57 % (3512296)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2004112538:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.35/0.57 % (3512297)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=811312708:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.35/0.57 % (3512295)Instruction limit reached!
% 1.35/0.57 % (3512295)------------------------------
% 1.35/0.57 % (3512295)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.57 % (3512295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.57 % (3512295)CaDiCaL version: 2.1.3
% 1.35/0.57 % (3512295)Termination reason: Instruction limit
% 1.35/0.57 % (3512295)Termination phase: Saturation
% 1.35/0.57 % (3512295)Time elapsed: 0.037 s
% 1.35/0.57 % (3512295)Peak memory usage: 13 MB
% 1.35/0.57 % (3512295)Instructions burned: 119 (million)
% 1.35/0.57 % (3512305)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=3842183389:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 1.35/0.57 % (3512294)Instruction limit reached!
% 1.35/0.57 % (3512294)------------------------------
% 1.35/0.57 % (3512294)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.57 % (3512294)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.57 % (3512294)CaDiCaL version: 2.1.3
% 1.35/0.57 % (3512294)Termination reason: Instruction limit
% 1.35/0.57 % (3512294)Termination phase: Saturation
% 1.35/0.57 % (3512294)Time elapsed: 0.067 s
% 1.35/0.57 % (3512294)Peak memory usage: 13 MB
% 1.35/0.57 % (3512294)Instructions burned: 104 (million)
% 1.35/0.57 % (3512307)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2514664074:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.35/0.57 % (3512297)Instruction limit reached!
% 1.35/0.57 % (3512297)------------------------------
% 1.35/0.57 % (3512297)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.35/0.57 % (3512297)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.35/0.57 % (3512297)CaDiCaL version: 2.1.3
% 1.35/0.57 % (3512297)Termination reason: Instruction limit
% 1.35/0.57 % (3512297)Termination phase: Saturation
% 1.35/0.57 % (3512297)Time elapsed: 0.093 s
% 1.35/0.57 % (3512297)Peak memory usage: 13 MB
% 1.35/0.57 % (3512297)Instructions burned: 159 (million)
% 1.35/0.57 % (3512296)Instruction limit reached!
% 1.35/0.57 % (3512296)------------------------------
% 1.35/0.57 % (3512296)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (3512296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (3512296)CaDiCaL version: 2.1.3
% 0.25/0.57 % (3512296)Termination reason: Instruction limit
% 0.25/0.57 % (3512296)Termination phase: Saturation
% 0.25/0.57 % (3512296)Time elapsed: 0.094 s
% 0.25/0.57 % (3512296)Peak memory usage: 13 MB
% 0.25/0.57 % (3512296)Instructions burned: 132 (million)
% 0.25/0.57 % (3512310)ott-21_1_sil=16000:fs=off:random_seed=1640882201:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.25/0.57 % (3512309)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=2961602127:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.25/0.57 % TRYING [1]
% 0.25/0.57 % TRYING [2]
% 0.25/0.57 % TRYING [1]
% 0.25/0.57 % (3512307)Instruction limit reached!
% 0.25/0.57 % (3512307)------------------------------
% 0.25/0.57 % (3512307)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (3512307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (3512307)CaDiCaL version: 2.1.3
% 0.25/0.57 % (3512307)Termination reason: Instruction limit
% 0.25/0.57 % (3512307)Termination phase: Saturation
% 0.25/0.57 % (3512307)Time elapsed: 0.082 s
% 0.25/0.57 % (3512307)Peak memory usage: 14 MB
% 0.25/0.57 % (3512307)Instructions burned: 131 (million)
% 0.25/0.57 % TRYING [3]
% 0.25/0.57 % TRYING [2]
% 0.25/0.57 % (3512313)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1653477992:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 0.25/0.57 % (3512305)Instruction limit reached!
% 0.25/0.57 % (3512305)------------------------------
% 0.25/0.57 % (3512305)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (3512305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (3512305)CaDiCaL version: 2.1.3
% 0.25/0.57 % (3512305)Termination reason: Instruction limit
% 0.25/0.57 % (3512305)Termination phase: Finite model building constraint generation
% 0.25/0.57 % (3512305)Time elapsed: 0.161 s
% 0.25/0.57 % (3512305)Peak memory usage: 29 MB
% 0.25/0.57 % (3512305)Instructions burned: 717 (million)
% 0.25/0.57 % (3512310)Instruction limit reached!
% 0.25/0.57 % (3512310)------------------------------
% 0.25/0.57 % (3512310)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (3512310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (3512310)CaDiCaL version: 2.1.3
% 0.25/0.57 % (3512310)Termination reason: Instruction limit
% 0.25/0.57 % (3512310)Termination phase: Saturation
% 0.25/0.57 % (3512310)Time elapsed: 0.094 s
% 0.25/0.57 % (3512310)Peak memory usage: 13 MB
% 0.25/0.57 % (3512310)Instructions burned: 181 (million)
% 0.25/0.57 % (3512292) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3512286-3512292"...
% 0.25/0.57 % (3512315)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=4207709619:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 0.25/0.57 % (3512292)...printing done.
% 0.25/0.57 % (3512292)Refutation found. Thanks to Tanya!
% 0.25/0.57 % SZS status Unsatisfiable for theBenchmark
% 0.25/0.57 % SZS output start Proof for theBenchmark
% See solution above
% 0.25/0.57 % (3512292)------------------------------
% 0.25/0.57 % (3512292)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.25/0.57 % (3512292)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.25/0.57 % (3512292)CaDiCaL version: 2.1.3
% 0.25/0.57 % (3512292)Termination reason: Refutation
% 0.25/0.57 % (3512292)Time elapsed: 0.214 s
% 0.25/0.57 % (3512292)Peak memory usage: 16 MB
% 0.25/0.57 % (3512292)Instructions burned: 328 (million)
% 0.25/0.57 % (3512286)Success in time 0.283 s
% 0.25/0.57 % Vampire exiting
%------------------------------------------------------------------------------