%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV791-1 : 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 6.13s 1.96s
% Output : Refutation 6.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 10
% Syntax : Number of formulae : 28 ( 16 unt; 1 def)
% Number of atoms : 46 ( 18 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 : 28 ( 28 usr; 17 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f487,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(f564,axiom,
! [X2,X3,X0,X1,X4,X5] :
( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(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(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(f565,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(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(c_Message_Omsg_OKey(X2),c_Message_Omsg_OAgent(X3))) = X0 ),
inference(reorient_equations,[],[f564]) ).
fof(f585,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(f603,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(f657,negated_conjecture,
~ c_in(v_B,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f658,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(f661,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(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(f664,negated_conjecture,
v_B = v_Aa,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f666,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(f667,plain,
v_X = c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),
inference(reorient_equations,[],[f666]) ).
fof(f706,plain,
~ c_in(v_Aa,c_Event_Obad,tc_Message_Oagent),
inference(forward_demodulation,[],[f657,f664]) ).
fof(f729,plain,
! [X0,X1] :
( c_Message_Omsg_OCrypt(X0,X1) != v_X
| c_Message_Omsg_ONonce(v_Nb) = X1 ),
inference(superposition,[],[f603,f667]) ).
fof(f779,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_Ba),c_Message_Omsg_OMPair(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,[],[f661,f487]) ).
fof(f790,definition,
( spl0_4
<=> v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f791,plain,
( v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa)))
| ~ spl0_4 ),
inference(avatar_component_clause,[],[f790]) ).
fof(f1591,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_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
inference(resolution,[],[f779,f565]) ).
fof(f1594,plain,
( c_in(v_Aa,c_Event_Obad,tc_Message_Oagent)
| v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))) ),
inference(forward_subsumption_resolution,[],[f1591,f658]) ).
fof(f1596,plain,
v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))),
inference(forward_subsumption_resolution,[],[f1594,f706]) ).
fof(f1598,plain,
spl0_4,
inference(avatar_split_clause,[],[f1596,f790]) ).
fof(f1672,plain,
( v_X != v_X
| c_Message_Omsg_ONonce(v_Nb) = c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))
| ~ spl0_4 ),
inference(superposition,[],[f729,f791]) ).
fof(f1673,plain,
( c_Message_Omsg_ONonce(v_Nb) = c_Message_Omsg_OMPair(c_Message_Omsg_OKey(v_Ka),c_Message_Omsg_OAgent(v_Aa))
| ~ spl0_4 ),
inference(trivial_inequality_removal,[],[f1672]) ).
fof(f1675,plain,
( $false
| ~ spl0_4 ),
inference(forward_subsumption_resolution,[],[f1673,f585]) ).
fof(f1676,plain,
~ spl0_4,
inference(avatar_contradiction_clause,[],[f1675]) ).
cnf(s13,plain,
spl0_4,
inference(sat_conversion,[],[f1598]) ).
cnf(s16,plain,
~ spl0_4,
inference(sat_conversion,[],[f1676]) ).
cnf(s17,plain,
$false,
inference(rat,[],[s13,s16]) ).
fof(f1678,plain,
$false,
inference(avatar_sat_refutation,[],[s17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWV791-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.25 % Computer : n008.cluster.edu
% 0.10/0.25 % Model : x86_64 x86_64
% 0.10/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.25 % Memory : 8046.5625MB
% 0.10/0.25 % OS : Linux 6.8.0-71-generic
% 0.10/0.25 % CPULimit : 300
% 0.10/0.25 % WCLimit : 300
% 0.10/0.25 % DateTime : Mon Sep 28 12:33:54 UTC 2026
% 0.10/0.25 % CPUTime :
% 0.10/0.25 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.24/0.31 Running first-order theorem proving
% 0.24/0.31 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
% 6.13/1.96 % (2220804)Input is clausal, will run a generic CNF schedule.
% 6.13/1.96 % (2220812)lrs+10_1_sil=8000:sp=occurrence:random_seed=808208964:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.13/1.96 % (2220815)dis-21_1_sil=8000:lcm=predicate:random_seed=3950501001: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)
% 6.13/1.96 % (2220812)Instruction limit reached!
% 6.13/1.96 % (2220812)------------------------------
% 6.13/1.96 % (2220812)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.96 % (2220812)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.96 % (2220812)CaDiCaL version: 2.1.3
% 6.13/1.96 % (2220812)Termination reason: Instruction limit
% 6.13/1.96 % (2220812)Termination phase: Saturation
% 6.13/1.96 % (2220812)Time elapsed: 0.056 s
% 6.13/1.96 % (2220812)Peak memory usage: 89 MB
% 6.13/1.96 % (2220812)Instructions burned: 107 (million)
% 6.13/1.96 % (2220810)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3000028010:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.13/1.96 % (2220814)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3864686629:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.13/1.96 % (2220809)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=3285596096:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.13/1.96 % (2220811)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=975974360:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.13/1.96 % (2220813)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=956442823:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.13/1.96 % (2220815)Instruction limit reached!
% 6.13/1.96 % (2220815)------------------------------
% 6.13/1.96 % (2220815)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.96 % (2220815)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.96 % (2220815)CaDiCaL version: 2.1.3
% 6.13/1.96 % (2220815)Termination reason: Instruction limit
% 6.13/1.96 % (2220815)Termination phase: Saturation
% 6.13/1.96 % (2220815)Time elapsed: 0.122 s
% 6.13/1.96 % (2220815)Peak memory usage: 89 MB
% 6.13/1.96 % (2220815)Instructions burned: 117 (million)
% 6.13/1.96 % (2220813)Instruction limit reached!
% 6.13/1.96 % (2220813)------------------------------
% 6.13/1.96 % (2220813)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.96 % (2220813)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.96 % (2220813)CaDiCaL version: 2.1.3
% 6.13/1.96 % (2220813)Termination reason: Instruction limit
% 6.13/1.96 % (2220813)Termination phase: Saturation
% 6.13/1.96 % (2220813)Time elapsed: 0.123 s
% 6.13/1.96 % (2220813)Peak memory usage: 89 MB
% 6.13/1.96 % (2220813)Instructions burned: 115 (million)
% 6.13/1.96 % (2220814)Instruction limit reached!
% 6.13/1.96 % (2220814)------------------------------
% 6.13/1.96 % (2220814)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.96 % (2220814)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.96 % (2220814)CaDiCaL version: 2.1.3
% 6.13/1.96 % (2220814)Termination reason: Instruction limit
% 6.13/1.96 % (2220814)Termination phase: Saturation
% 6.13/1.96 % (2220814)Time elapsed: 0.180 s
% 6.13/1.96 % (2220814)Peak memory usage: 90 MB
% 6.13/1.96 % (2220814)Instructions burned: 180 (million)
% 6.13/1.96 % (2220818)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=3802038884:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.13/1.96 % (2220818)First to succeed.
% 6.13/1.96 % (2220818)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2220804"
% 6.13/1.96 % (2220824)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2231420564:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 6.13/1.96 % (2220825)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3389026394:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.13/1.96 % (2220824)Instruction limit reached!
% 6.13/1.96 % (2220824)------------------------------
% 6.13/1.96 % (2220824)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.96 % (2220824)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.96 % (2220824)CaDiCaL version: 2.1.3
% 6.13/1.96 % (2220824)Termination reason: Instruction limit
% 6.13/1.96 % (2220824)Termination phase: Saturation
% 6.13/1.96 % (2220824)Time elapsed: 0.159 s
% 6.13/1.96 % (2220824)Peak memory usage: 91 MB
% 6.13/1.96 % (2220824)Instructions burned: 189 (million)
% 6.13/1.96 % (2220826)lrs+10_64_to=lpo:sil=8000:random_seed=2787774005:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 6.13/1.96 % (2220818)Refutation found. Thanks to Tanya!
% 6.13/1.96 % SZS status Unsatisfiable for theBenchmark
% 6.13/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 6.13/1.96 % (2220818)------------------------------
% 6.13/1.96 % (2220818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.13/1.96 % (2220818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.13/1.96 % (2220818)CaDiCaL version: 2.1.3
% 6.13/1.96 % (2220818)Termination reason: Refutation
% 6.13/1.96 % (2220818)Time elapsed: 0.045 s
% 6.13/1.96 % (2220818)Peak memory usage: 91 MB
% 6.13/1.96 % (2220818)Instructions burned: 82 (million)
% 6.13/1.96 % (2220818)------------------------------
% 6.13/1.96 % (2220818)------------------------------
% 6.13/1.96 % (2220804)Success in time 0.758 s
% 6.13/1.96 % Vampire exiting
%------------------------------------------------------------------------------