%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV793-1 : 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 : n018.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 8.73s 2.29s
% Output : Refutation 8.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 27 ( 17 unt; 1 def)
% Number of atoms : 39 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 27 ( 15 ~; 11 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 2 avg)
% Maximal term depth : 9 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 24 ( 24 usr; 12 con; 0-5 aty)
% Number of variables : 15 ( 0 sgn 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_0) ).
fof(f392,axiom,
! [X2,X3,X0,X1] :
( ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool))
| ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_set__mp_0) ).
fof(f495,axiom,
! [X0] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X0)),c_Event_Oused(X0),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__knows__Spy__subset__used_0) ).
fof(f500,axiom,
! [X0,X1] : c_lessequals(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(X0,X1,tc_Event_Oevent))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_fun(tc_Message_Omsg,tc_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts__spies__takeWhile__mono_0) ).
fof(f598,axiom,
! [X0] : c_Event_Oknows(c_Message_Oagent_OSpy,X0) = c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(X0,tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_spies__evs__rev_0) ).
fof(f625,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).
fof(f683,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NB),c_Event_Oused(v_evs4),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f689,negated_conjecture,
v_K = v_Ka,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_9) ).
fof(f690,plain,
v_Ka = v_K,
inference(reorient_equations,[],[f689]) ).
fof(f691,negated_conjecture,
v_Nb = v_NB,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_10) ).
fof(f692,plain,
v_NB = v_Nb,
inference(reorient_equations,[],[f691]) ).
fof(f693,negated_conjecture,
c_in(c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_Ka,c_Message_Omsg_ONonce(v_NB))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_11) ).
fof(f724,plain,
~ c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(definition_unfolding,[],[f683,f692]) ).
fof(f727,plain,
c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg),
inference(definition_unfolding,[],[f693,f690,f692,f690,f692]) ).
fof(f746,definition,
( spl0_2
<=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f747,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_OtakeWhile(c_COMBB(c_Not,c_COMBC(c_fequal(tc_Event_Oevent),c_Event_Oevent_OSays(v_Ba,v_Aa,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb))),tc_Event_Oevent,tc_Event_Oevent,tc_bool),tc_bool,tc_bool,tc_Event_Oevent),c_List_Orev(v_evs4,tc_Event_Oevent),tc_Event_Oevent))),tc_Message_Omsg)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f746]) ).
fof(f750,plain,
spl0_2,
inference(avatar_split_clause,[],[f727,f746]) ).
fof(f1017,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,c_List_Orev(v_evs4,tc_Event_Oevent))),tc_Message_Omsg)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f389,f500,f747]) ).
fof(f1110,plain,
( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(forward_demodulation,[],[f1017,f598]) ).
fof(f1148,plain,
( c_in(c_Message_Omsg_ONonce(v_Nb),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f625,f1110]) ).
fof(f1525,plain,
( c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg)
| ~ spl0_2 ),
inference(unit_resulting_resolution,[],[f392,f495,f1148]) ).
fof(f1584,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f1525,f724]) ).
fof(f1585,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f1584]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f750]) ).
cnf(s7,plain,
~ spl0_2,
inference(sat_conversion,[],[f1585]) ).
cnf(s8,plain,
$false,
inference(rat,[],[s2,s7]) ).
fof(f1596,plain,
$false,
inference(avatar_sat_refutation,[],[s8]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n018.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 12:36:09 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.27 Running first-order theorem proving
% 0.10/0.27 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
% 6.55/2.03 % (3349462)Input is clausal, will run a generic CNF schedule.
% 6.55/2.03 % (3349473)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=591429657:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.55/2.03 % (3349476)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=388080174:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.55/2.03 % (3349475)lrs+10_1_sil=8000:sp=occurrence:random_seed=239070983:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.55/2.03 % (3349472)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=475705607:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.55/2.03 % (3349474)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3618469851:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.55/2.03 % (3349477)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2987429960:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.55/2.03 % (3349478)dis-21_1_sil=8000:lcm=predicate:random_seed=1116058271: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)
% 6.55/2.03 % (3349476)Instruction limit reached!
% 6.55/2.03 % (3349476)------------------------------
% 6.55/2.03 % (3349476)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.03 % (3349476)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.03 % (3349476)CaDiCaL version: 2.1.3
% 6.55/2.03 % (3349476)Termination reason: Instruction limit
% 6.55/2.03 % (3349476)Termination phase: Saturation
% 6.55/2.03 % (3349476)Time elapsed: 0.095 s
% 6.55/2.03 % (3349476)Peak memory usage: 89 MB
% 6.55/2.03 % (3349476)Instructions burned: 114 (million)
% 6.55/2.03 % (3349475)Instruction limit reached!
% 6.55/2.03 % (3349475)------------------------------
% 6.55/2.03 % (3349475)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.03 % (3349475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.03 % (3349475)CaDiCaL version: 2.1.3
% 6.55/2.03 % (3349475)Termination reason: Instruction limit
% 6.55/2.03 % (3349475)Termination phase: Saturation
% 6.55/2.03 % (3349475)Time elapsed: 0.112 s
% 6.55/2.03 % (3349475)Peak memory usage: 89 MB
% 6.55/2.03 % (3349475)Instructions burned: 107 (million)
% 6.55/2.03 % (3349478)Instruction limit reached!
% 6.55/2.03 % (3349478)------------------------------
% 6.55/2.03 % (3349478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.03 % (3349478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.03 % (3349478)CaDiCaL version: 2.1.3
% 6.55/2.03 % (3349478)Termination reason: Instruction limit
% 6.55/2.03 % (3349478)Termination phase: Saturation
% 6.55/2.03 % (3349478)Time elapsed: 0.117 s
% 6.55/2.03 % (3349478)Peak memory usage: 89 MB
% 6.55/2.03 % (3349478)Instructions burned: 118 (million)
% 6.55/2.03 % (3349477)Instruction limit reached!
% 6.55/2.03 % (3349477)------------------------------
% 6.55/2.03 % (3349477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.55/2.03 % (3349477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.55/2.03 % (3349477)CaDiCaL version: 2.1.3
% 6.55/2.03 % (3349477)Termination reason: Instruction limit
% 6.55/2.03 % (3349477)Termination phase: Saturation
% 6.55/2.03 % (3349477)Time elapsed: 0.185 s
% 6.55/2.03 % (3349477)Peak memory usage: 90 MB
% 6.55/2.03 % (3349477)Instructions burned: 180 (million)
% 6.55/2.03 % (3349488)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=1953853786:i=143:sd=2:aac=none:ss=axioms:sgt=16_2996 on theBenchmark for (2996ds/143Mi)
% 6.55/2.03 % (3349491)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3628438637:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 6.55/2.03 % (3349490)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4289112664: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)
% 6.55/2.03 % (3349490)First to succeed.
% 6.55/2.03 % (3349490)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3349462"
% 6.55/2.03 % (3349488)Instruction limit reached!
% 6.55/2.03 % (3349488)------------------------------
% 8.73/2.29 % (3349488)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.29 % (3349488)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.29 % (3349488)CaDiCaL version: 2.1.3
% 8.73/2.29 % (3349488)Termination reason: Instruction limit
% 8.73/2.29 % (3349488)Termination phase: Saturation
% 8.73/2.29 % (3349488)Time elapsed: 0.146 s
% 8.73/2.29 % (3349488)Peak memory usage: 90 MB
% 8.73/2.29 % (3349488)Instructions burned: 143 (million)
% 8.73/2.29 % (3349493)lrs+10_64_to=lpo:sil=8000:random_seed=4203443281:i=126:bd=preordered_2994 on theBenchmark for (2994ds/126Mi)
% 8.73/2.29 % (3349491)Instruction limit reached!
% 8.73/2.29 % (3349491)------------------------------
% 8.73/2.29 % (3349491)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.29 % (3349491)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.29 % (3349491)CaDiCaL version: 2.1.3
% 8.73/2.29 % (3349491)Termination reason: Instruction limit
% 8.73/2.29 % (3349491)Termination phase: Saturation
% 8.73/2.29 % (3349491)Time elapsed: 0.211 s
% 8.73/2.29 % (3349491)Peak memory usage: 91 MB
% 8.73/2.29 % (3349491)Instructions burned: 219 (million)
% 8.73/2.29 % (3349473)Also succeeded, but the first one will report.
% 8.73/2.29 % (3349493)Instruction limit reached!
% 8.73/2.29 % (3349493)------------------------------
% 8.73/2.29 % (3349493)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.29 % (3349493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.29 % (3349493)CaDiCaL version: 2.1.3
% 8.73/2.29 % (3349493)Termination reason: Instruction limit
% 8.73/2.29 % (3349493)Termination phase: Saturation
% 8.73/2.29 % (3349493)Time elapsed: 0.132 s
% 8.73/2.29 % (3349493)Peak memory usage: 90 MB
% 8.73/2.29 % (3349493)Instructions burned: 127 (million)
% 8.73/2.29 % (3349498)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3230435031:avsq=on:i=194:fgj=on:bd=preordered_2992 on theBenchmark for (2992ds/194Mi)
% 8.73/2.29 % (3349500)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=710224559:i=157:gtg=all_2991 on theBenchmark for (2991ds/157Mi)
% 8.73/2.29 % (3349490)Refutation found. Thanks to Tanya!
% 8.73/2.29 % SZS status Unsatisfiable for theBenchmark
% 8.73/2.29 % SZS output start Proof for theBenchmark
% See solution above
% 8.73/2.29 % (3349490)------------------------------
% 8.73/2.29 % (3349490)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.73/2.29 % (3349490)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.73/2.29 % (3349490)CaDiCaL version: 2.1.3
% 8.73/2.29 % (3349490)Termination reason: Refutation
% 8.73/2.29 % (3349490)Time elapsed: 0.107 s
% 8.73/2.29 % (3349490)Peak memory usage: 91 MB
% 8.73/2.29 % (3349490)Instructions burned: 108 (million)
% 8.73/2.29 % (3349490)------------------------------
% 8.73/2.29 % (3349490)------------------------------
% 8.73/2.29 % (3349462)Success in time 1.137 s
% 8.73/2.29 % Vampire exiting
%------------------------------------------------------------------------------