%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV802-1 : 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 01:19:32 PM UTC 2026
% Result : Unsatisfiable 0.19s 1.41s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of formulae : 27 ( 16 unt; 3 def)
% Number of atoms : 41 ( 3 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 13 ~; 11 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 18 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f592,axiom,
! [X0,X1] :
( c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1)
| ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__cut__eq_0) ).
fof(f593,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| c_Message_Oparts(X1) = c_Message_Oparts(c_Set_Oinsert(X0,X1,tc_Message_Omsg)) ),
inference(reorient_equations,[],[f592]) ).
fof(f594,axiom,
! [X2,X3,X0,X1,X6,X7,X4,X5] :
( ~ c_in(c_Event_Oevent_OSays(X2,X3,c_Message_Omsg_OCrypt(X4,c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(X6,c_Message_Omsg_OMPair(X7,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_NS3__msg__in__parts__spies_0) ).
fof(f697,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_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Ba),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_Ka),v_Xa))))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f700,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f701,negated_conjecture,
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_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_8) ).
fof(f702,negated_conjecture,
~ c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f703,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent)
| ~ 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_evs3)),tc_Message_Omsg)
| ~ c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f749,definition,
( spl0_4
<=> c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_4])],[avatar_definition]) ).
fof(f753,definition,
( spl0_5
<=> 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_evs3)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f755,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_evs3)),tc_Message_Omsg)
| spl0_5 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f757,definition,
( spl0_6
<=> c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs3,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f760,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f703,f757,f753,f749]) ).
fof(f761,plain,
~ spl0_6,
inference(avatar_split_clause,[],[f702,f757]) ).
fof(f2673,plain,
c_in(v_Xa,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(resolution,[],[f594,f697]) ).
fof(f2678,plain,
c_Message_Oparts(c_Set_Oinsert(v_Xa,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3),tc_Message_Omsg)) = c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),
inference(resolution,[],[f2673,f593]) ).
fof(f2690,plain,
c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(superposition,[],[f700,f2678]) ).
fof(f2691,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_evs3)),tc_Message_Omsg),
inference(superposition,[],[f701,f2678]) ).
fof(f2751,plain,
( $false
| spl0_5 ),
inference(forward_subsumption_resolution,[],[f2691,f755]) ).
fof(f2752,plain,
spl0_5,
inference(avatar_contradiction_clause,[],[f2751]) ).
fof(f2753,plain,
spl0_4,
inference(avatar_split_clause,[],[f2690,f749]) ).
cnf(s2,plain,
( ~ spl0_4
| ~ spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f760]) ).
cnf(s3,plain,
~ spl0_6,
inference(sat_conversion,[],[f761]) ).
cnf(s8,plain,
spl0_5,
inference(sat_conversion,[],[f2752]) ).
cnf(s9,plain,
spl0_4,
inference(sat_conversion,[],[f2753]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s2,s3,s8,s9]) ).
fof(f2754,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV802-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.19 % Computer : n008.cluster.edu
% 0.09/0.19 % Model : x86_64 x86_64
% 0.09/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.19 % Memory : 8046.5625MB
% 0.09/0.19 % OS : Linux 6.8.0-71-generic
% 0.09/0.19 % CPULimit : 300
% 0.09/0.19 % WCLimit : 300
% 0.09/0.19 % DateTime : Mon Sep 28 12:36:09 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.22 Running first-order theorem proving
% 0.09/0.22 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
% 0.19/1.41 % (2224228)Input is clausal, will run a generic CNF schedule.
% 0.19/1.41 % (2224237)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2731251834:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.19/1.41 % (2224237)Instruction limit reached!
% 0.19/1.41 % (2224237)------------------------------
% 0.19/1.41 % (2224237)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (2224237)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (2224237)CaDiCaL version: 2.1.3
% 0.19/1.41 % (2224237)Termination reason: Instruction limit
% 0.19/1.41 % (2224237)Termination phase: Saturation
% 0.19/1.41 % (2224237)Time elapsed: 0.043 s
% 0.19/1.41 % (2224237)Peak memory usage: 89 MB
% 0.19/1.41 % (2224237)Instructions burned: 117 (million)
% 0.19/1.41 % (2224238)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3964171626:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.19/1.41 % (2224233)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=861554198:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.19/1.41 % (2224236)lrs+10_1_sil=8000:sp=occurrence:random_seed=3671307851:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.19/1.41 % (2224235)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3353639240:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.19/1.41 % (2224234)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4075501237:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.19/1.41 % (2224239)dis-21_1_sil=8000:lcm=predicate:random_seed=303106669: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 % (2224239)Instruction limit reached!
% 0.19/1.41 % (2224239)------------------------------
% 0.19/1.41 % (2224239)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (2224239)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (2224239)CaDiCaL version: 2.1.3
% 0.19/1.41 % (2224239)Termination reason: Instruction limit
% 0.19/1.41 % (2224239)Termination phase: Saturation
% 0.19/1.41 % (2224239)Time elapsed: 0.058 s
% 0.19/1.41 % (2224239)Peak memory usage: 89 MB
% 0.19/1.41 % (2224239)Instructions burned: 118 (million)
% 0.19/1.41 % (2224236)Instruction limit reached!
% 0.19/1.41 % (2224236)------------------------------
% 0.19/1.41 % (2224236)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (2224236)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (2224236)CaDiCaL version: 2.1.3
% 0.19/1.41 % (2224236)Termination reason: Instruction limit
% 0.19/1.41 % (2224236)Termination phase: Saturation
% 0.19/1.41 % (2224236)Time elapsed: 0.072 s
% 0.19/1.41 % (2224236)Peak memory usage: 89 MB
% 0.19/1.41 % (2224236)Instructions burned: 107 (million)
% 0.19/1.41 % (2224238)First to succeed.
% 0.19/1.41 % (2224238)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2224228"
% 0.19/1.41 % (2224241)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=667768001:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 0.19/1.41 % (2224241)Also succeeded, but the first one will report.
% 0.19/1.41 % (2224248)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=174524728: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 % (2224249)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=994367227:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 0.19/1.41 % (2224249)Also succeeded, but the first one will report.
% 0.19/1.41 % (2224248)Instruction limit reached!
% 0.19/1.41 % (2224248)------------------------------
% 0.19/1.41 % (2224248)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (2224248)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (2224248)CaDiCaL version: 2.1.3
% 0.19/1.41 % (2224248)Termination reason: Instruction limit
% 0.19/1.41 % (2224248)Termination phase: Saturation
% 0.19/1.41 % (2224248)Time elapsed: 0.105 s
% 0.19/1.41 % (2224248)Peak memory usage: 91 MB
% 0.19/1.41 % (2224248)Instructions burned: 189 (million)
% 0.19/1.41 % (2224238)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 % (2224238)------------------------------
% 0.19/1.41 % (2224238)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.19/1.41 % (2224238)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/1.41 % (2224238)CaDiCaL version: 2.1.3
% 0.19/1.41 % (2224238)Termination reason: Refutation
% 0.19/1.41 % (2224238)Time elapsed: 0.090 s
% 0.19/1.41 % (2224238)Peak memory usage: 91 MB
% 0.19/1.41 % (2224238)Instructions burned: 140 (million)
% 0.19/1.41 % (2224238)------------------------------
% 0.19/1.41 % (2224238)------------------------------
% 0.19/1.41 % (2224228)Success in time 0.553 s
% 0.19/1.41 % Vampire exiting
%------------------------------------------------------------------------------