%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 01:19:28 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 9
% Syntax : Number of formulae : 27 ( 18 unt; 1 def)
% Number of atoms : 39 ( 4 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 31 ( 19 ~; 11 |; 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 : 22 ( 22 usr; 11 con; 0-3 aty)
% Number of variables : 9 ( 0 sgn 9 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f391,axiom,
! [X0] :
( ~ hBOOL(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(f448,axiom,
! [X2,X0,X1] :
( hBOOL(c_in(c_Message_OinvKey(X0),c_Message_OkeysFor(X1),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__invKey__keysFor_0) ).
fof(f507,axiom,
! [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)) ),
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f615,negated_conjecture,
hBOOL(c_in(v_KAB,c_Message_OsymKeys,tc_nat)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f622,negated_conjecture,
v_K = v_KAB,
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',cls_conjecture_13) ).
fof(f666,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(f667,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,[],[f666]) ).
fof(f683,plain,
hBOOL(c_in(v_K,c_Message_OsymKeys,tc_nat)),
inference(forward_demodulation,[],[f615,f623]) ).
fof(f684,plain,
~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evs2),tc_Message_Omsg)),
inference(forward_demodulation,[],[f614,f623]) ).
fof(f685,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(forward_demodulation,[],[f628,f623]) ).
fof(f686,plain,
spl0_2,
inference(avatar_split_clause,[],[f685,f666]) ).
fof(f726,plain,
v_K = c_Message_OinvKey(v_K),
inference(resolution,[],[f391,f683]) ).
fof(f1066,plain,
! [X0,X1] :
( hBOOL(c_in(v_K,c_Message_OkeysFor(X0),tc_nat))
| ~ hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,X1),X0,tc_Message_Omsg)) ),
inference(superposition,[],[f448,f726]) ).
fof(f2879,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,[],[f507,f684]) ).
fof(f2882,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,[],[f2879,f613]) ).
fof(f2883,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,[],[f2882,f683]) ).
fof(f2884,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(resolution,[],[f2883,f1066]) ).
fof(f2888,plain,
( $false
| ~ spl0_2 ),
inference(resolution,[],[f2884,f667]) ).
fof(f2890,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f2888]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f686]) ).
cnf(s13,plain,
~ spl0_2,
inference(sat_conversion,[],[f2890]) ).
cnf(s14,plain,
$false,
inference(rat,[],[s3,s13]) ).
fof(f2891,plain,
$false,
inference(avatar_sat_refutation,[],[s14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV768-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n020.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 12:31:05 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/1.41 % (134491)Input is clausal, will run a generic CNF schedule.
% 0.19/1.41 % (134497)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=853828820:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.41 % (134501)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=504920290:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.41 % (134499)lrs+10_1_sil=8000:sp=occurrence:random_seed=1096285742:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.41 % (134498)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1568596769:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.41 % (134496)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=3939775052:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.41 % (134500)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=418312245:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.41 % (134502)dis-21_1_sil=8000:lcm=predicate:random_seed=2649660435: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)
% 0.19/1.41 % (134502)Instruction limit reached!
% 0.19/1.41 % (134502)------------------------------
% 0.19/1.41 % (134502)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (134502)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (134502)CaDiCaL version: 2.1.3
% 0.19/1.41 % (134502)Termination reason: Instruction limit
% 0.19/1.41 % (134502)Termination phase: Saturation
% 0.19/1.41 % (134502)Time elapsed: 0.069 s
% 0.19/1.41 % (134502)Peak memory usage: 89 MB
% 0.19/1.41 % (134502)Instructions burned: 119 (million)
% 0.19/1.41 % (134499)Instruction limit reached!
% 0.19/1.41 % (134499)------------------------------
% 0.19/1.41 % (134499)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (134499)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (134499)CaDiCaL version: 2.1.3
% 0.19/1.41 % (134499)Termination reason: Instruction limit
% 0.19/1.41 % (134499)Termination phase: Saturation
% 0.19/1.41 % (134499)Time elapsed: 0.071 s
% 0.19/1.41 % (134499)Peak memory usage: 89 MB
% 0.19/1.41 % (134499)Instructions burned: 108 (million)
% 0.19/1.41 % (134500)Instruction limit reached!
% 0.19/1.41 % (134500)------------------------------
% 0.19/1.41 % (134500)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (134500)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (134500)CaDiCaL version: 2.1.3
% 0.19/1.41 % (134500)Termination reason: Instruction limit
% 0.19/1.41 % (134500)Termination phase: Saturation
% 0.19/1.41 % (134500)Time elapsed: 0.076 s
% 0.19/1.41 % (134500)Peak memory usage: 89 MB
% 0.19/1.41 % (134500)Instructions burned: 114 (million)
% 0.19/1.41 % (134501)First to succeed.
% 0.19/1.41 % (134501)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-134491"
% 0.19/1.41 % (134510)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=169428846:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 0.19/1.41 % (134512)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=508841843:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.19/1.41 % (134511)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1085266838: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)
% 0.19/1.41 % (134512)Also succeeded, but the first one will report.
% 0.19/1.41 % (134510)Also succeeded, but the first one will report.
% 0.19/1.41 % (134511)Instruction limit reached!
% 0.19/1.41 % (134511)------------------------------
% 0.19/1.41 % (134511)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (134511)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (134511)CaDiCaL version: 2.1.3
% 0.19/1.41 % (134511)Termination reason: Instruction limit
% 0.19/1.41 % (134511)Termination phase: Saturation
% 0.19/1.41 % (134511)Time elapsed: 0.104 s
% 0.19/1.41 % (134511)Peak memory usage: 91 MB
% 0.19/1.41 % (134511)Instructions burned: 190 (million)
% 0.19/1.41 % (134501)Refutation found. Thanks to Tanya!
% 0.19/1.41 % SZS status Unsatisfiable for theBenchmark
% 0.19/1.41 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/1.41 % (134501)------------------------------
% 0.19/1.41 % (134501)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (134501)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (134501)CaDiCaL version: 2.1.3
% 0.19/1.41 % (134501)Termination reason: Refutation
% 0.19/1.41 % (134501)Time elapsed: 0.107 s
% 0.19/1.41 % (134501)Peak memory usage: 91 MB
% 0.19/1.41 % (134501)Instructions burned: 163 (million)
% 0.19/1.41 % (134501)------------------------------
% 0.19/1.41 % (134501)------------------------------
% 0.19/1.41 % (134491)Success in time 0.545 s
% 0.19/1.41 % Vampire exiting
%------------------------------------------------------------------------------