%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV792-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n008.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 01:19:31 PM UTC 2026
% Result : Unsatisfiable 5.68s 1.59s
% Output : Refutation 5.68s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 18 unt; 1 def)
% Number of atoms : 48 ( 19 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 18 ~; 17 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 2 prp; 0-3 aty)
% Number of functors : 29 ( 29 usr; 19 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f619,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).
fof(f649,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).
fof(f650,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)
| ~ c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(X3,c_Event_Obad,tc_Message_Oagent)
| c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(reorient_equations,[],[f649]) ).
fof(f660,axiom,
! [X2,X0,X1] : c_Message_Omsg_ONonce(X0) != c_Message_Omsg_OMPair(X1,X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I34_J_0) ).
fof(f675,axiom,
! [X2,X3,X0,X1] :
( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
| X1 = X3 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_msg_Osimps_I7_J_1) ).
fof(f700,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f701,negated_conjecture,
c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f704,negated_conjecture,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f707,negated_conjecture,
v_B = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f708,negated_conjecture,
v_A = v_Ba,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f709,negated_conjecture,
c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)) = v_X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f710,plain,
v_X = c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),
inference(reorient_equations,[],[f709]) ).
fof(f751,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(forward_demodulation,[],[f700,f707]) ).
fof(f776,plain,
! [X0,X1] :
( c_Message_Omsg_OCrypt(X0,X1) != v_X
| c_Message_Omsg_ONonce(v_Nb) = X1 ),
inference(superposition,[],[f675,f710]) ).
fof(f887,plain,
c_in(c_Event_Oevent_OSays(v_S,v_Aa,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
inference(forward_demodulation,[],[f704,f708]) ).
fof(f923,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f887,f619]) ).
fof(f1075,definition,
( spl0_14
<=> v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
introduced(definition,[new_symbols(definition,[spl0_14])],[avatar_definition]) ).
fof(f1076,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa)))
| ~ spl0_14 ),
inference(avatar_component_clause,[],[f1075]) ).
fof(f1692,plain,
( ~ c_in(v_evs3,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
| c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
inference(resolution,[],[f923,f650]) ).
fof(f1695,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
inference(forward_subsumption_resolution,[],[f1692,f701]) ).
fof(f1697,plain,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))),
inference(forward_subsumption_resolution,[],[f1695,f751]) ).
fof(f1699,plain,
spl0_14,
inference(avatar_split_clause,[],[f1697,f1075]) ).
fof(f1752,plain,
( v_X != v_X
| c_Message_Omsg_ONonce(v_Nb) = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))
| ~ spl0_14 ),
inference(superposition,[],[f776,f1076]) ).
fof(f1753,plain,
( c_Message_Omsg_ONonce(v_Nb) = c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),c_Message_Omsg_OAgent(v_Aa))
| ~ spl0_14 ),
inference(trivial_inequality_removal,[],[f1752]) ).
fof(f1755,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[],[f1753,f660]) ).
fof(f1756,plain,
~ spl0_14,
inference(avatar_contradiction_clause,[],[f1755]) ).
cnf(s25,plain,
spl0_14,
inference(sat_conversion,[],[f1699]) ).
cnf(s27,plain,
~ spl0_14,
inference(sat_conversion,[],[f1756]) ).
cnf(s28,plain,
$false,
inference(rat,[],[s25,s27]) ).
fof(f1758,plain,
$false,
inference(avatar_sat_refutation,[],[s28]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV792-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n008.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 12:34:54 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.08/0.21 Running first-order theorem proving
% 0.08/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.69/1.40 % (2222911)Input is clausal, will run a generic CNF schedule.
% 4.69/1.40 % (2222918)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1169978009:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.69/1.40 % (2222921)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1549748306:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.69/1.40 % (2222919)lrs+10_1_sil=8000:sp=occurrence:random_seed=3347866743:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.69/1.40 % (2222920)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4248687921:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.69/1.40 % (2222916)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=1826615943:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.69/1.40 % (2222922)dis-21_1_sil=8000:lcm=predicate:random_seed=4206563430: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)
% 4.69/1.40 % (2222917)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2625610798:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.69/1.40 % (2222919)Instruction limit reached!
% 4.69/1.40 % (2222919)------------------------------
% 4.69/1.40 % (2222919)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.40 % (2222919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.40 % (2222919)CaDiCaL version: 2.1.3
% 4.69/1.40 % (2222919)Termination reason: Instruction limit
% 4.69/1.40 % (2222919)Termination phase: Saturation
% 4.69/1.40 % (2222919)Time elapsed: 0.070 s
% 4.69/1.40 % (2222919)Peak memory usage: 89 MB
% 4.69/1.40 % (2222919)Instructions burned: 108 (million)
% 4.69/1.40 % (2222922)Instruction limit reached!
% 4.69/1.40 % (2222922)------------------------------
% 4.69/1.40 % (2222922)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.40 % (2222922)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.40 % (2222922)CaDiCaL version: 2.1.3
% 4.69/1.40 % (2222922)Termination reason: Instruction limit
% 4.69/1.40 % (2222922)Termination phase: Saturation
% 4.69/1.40 % (2222922)Time elapsed: 0.070 s
% 4.69/1.40 % (2222922)Peak memory usage: 89 MB
% 4.69/1.40 % (2222922)Instructions burned: 119 (million)
% 4.69/1.40 % (2222920)Instruction limit reached!
% 4.69/1.40 % (2222920)------------------------------
% 4.69/1.40 % (2222920)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.40 % (2222920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.69/1.40 % (2222920)CaDiCaL version: 2.1.3
% 4.69/1.40 % (2222920)Termination reason: Instruction limit
% 4.69/1.40 % (2222920)Termination phase: Saturation
% 4.69/1.40 % (2222920)Time elapsed: 0.071 s
% 4.69/1.40 % (2222920)Peak memory usage: 89 MB
% 4.69/1.40 % (2222920)Instructions burned: 114 (million)
% 4.69/1.40 % (2222921)Instruction limit reached!
% 4.69/1.40 % (2222921)------------------------------
% 4.69/1.40 % (2222921)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.69/1.40 % (2222921)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.58/1.40 % (2222921)CaDiCaL version: 2.1.3
% 5.58/1.40 % (2222921)Termination reason: Instruction limit
% 5.58/1.40 % (2222921)Termination phase: Saturation
% 5.58/1.40 % (2222921)Time elapsed: 0.119 s
% 5.58/1.40 % (2222921)Peak memory usage: 90 MB
% 5.58/1.40 % (2222921)Instructions burned: 181 (million)
% 5.58/1.40 % (2222930)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=121358666:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.58/1.40 % (2222931)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3220399266: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)
% 5.58/1.40 % (2222932)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=44332586:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.58/1.40 % (2222933)lrs+10_64_to=lpo:sil=8000:random_seed=287727039:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.58/1.40 % (2222930)First to succeed.
% 5.58/1.40 % (2222930)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2222911"
% 5.68/1.59 % (2222932)Also succeeded, but the first one will report.
% 5.68/1.59 % (2222931)Instruction limit reached!
% 5.68/1.59 % (2222931)------------------------------
% 5.68/1.59 % (2222931)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (2222931)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (2222931)CaDiCaL version: 2.1.3
% 5.68/1.59 % (2222931)Termination reason: Instruction limit
% 5.68/1.59 % (2222931)Termination phase: Saturation
% 5.68/1.59 % (2222931)Time elapsed: 0.104 s
% 5.68/1.59 % (2222931)Peak memory usage: 90 MB
% 5.68/1.59 % (2222931)Instructions burned: 190 (million)
% 5.68/1.59 % (2222933)Instruction limit reached!
% 5.68/1.59 % (2222933)------------------------------
% 5.68/1.59 % (2222933)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (2222933)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (2222933)CaDiCaL version: 2.1.3
% 5.68/1.59 % (2222933)Termination reason: Instruction limit
% 5.68/1.59 % (2222933)Termination phase: Saturation
% 5.68/1.59 % (2222933)Time elapsed: 0.082 s
% 5.68/1.59 % (2222933)Peak memory usage: 90 MB
% 5.68/1.59 % (2222933)Instructions burned: 127 (million)
% 5.68/1.59 % (2222918)Also succeeded, but the first one will report.
% 5.68/1.59 % (2222938)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=826163958:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.68/1.59 % (2222939)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1528291572:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.68/1.59 % (2222930)Refutation found. Thanks to Tanya!
% 5.68/1.59 % SZS status Unsatisfiable for theBenchmark
% 5.68/1.59 % SZS output start Proof for theBenchmark
% See solution above
% 5.68/1.59 % (2222930)------------------------------
% 5.68/1.59 % (2222930)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.68/1.59 % (2222930)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.68/1.59 % (2222930)CaDiCaL version: 2.1.3
% 5.68/1.59 % (2222930)Termination reason: Refutation
% 5.68/1.59 % (2222930)Time elapsed: 0.053 s
% 5.68/1.59 % (2222930)Peak memory usage: 91 MB
% 5.68/1.59 % (2222930)Instructions burned: 82 (million)
% 5.68/1.59 % (2222930)------------------------------
% 5.68/1.59 % (2222930)------------------------------
% 5.68/1.59 % (2222911)Success in time 0.747 s
% 5.68/1.59 % Vampire exiting
%------------------------------------------------------------------------------