%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% 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 01:26:25 PM UTC 2026
% Result : Unsatisfiable 1.78s 0.50s
% Output : Refutation 1.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 29 ( 17 unt; 1 def)
% Number of atoms : 44 ( 5 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 32 ( 17 ~; 14 |; 0 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 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 : 19 ( 0 sgn 19 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f389,axiom,
! [X2,X3,X0,X1] :
( c_in(X0,X1,X2)
| ~ c_in(X0,X3,X2)
| ~ c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_subset__iff_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(f613,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg)
| c_in(X0,c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_usedI_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(f732,plain,
~ c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg),
inference(definition_unfolding,[],[f683,f692]) ).
fof(f735,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(f832,plain,
! [X2,X3,X0,X1] :
( ~ c_in(X0,X3,X2)
| c_in(X0,X1,X2)
| c_lessequals(X3,X1,tc_fun(X2,tc_bool)) ),
inference(consistent_polarity_flipping,[],[f389]) ).
fof(f857,plain,
! [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)),
inference(consistent_polarity_flipping,[],[f500]) ).
fof(f881,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(f882,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,[],[f881]) ).
fof(f885,plain,
spl0_2,
inference(avatar_split_clause,[],[f735,f881]) ).
fof(f2157,plain,
( ! [X0] :
( c_lessequals(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))),X0,tc_fun(tc_Message_Omsg,tc_bool))
| c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_Nb)),X0,tc_Message_Omsg) )
| ~ spl0_2 ),
inference(resolution,[],[f832,f882]) ).
fof(f7552,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(resolution,[],[f2157,f857]) ).
fof(f7633,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,[],[f7552,f598]) ).
fof(f14649,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(resolution,[],[f7633,f625]) ).
fof(f14767,plain,
( c_in(c_Message_Omsg_ONonce(v_Nb),c_Event_Oused(v_evs4),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f14649,f613]) ).
fof(f14787,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f14767,f732]) ).
fof(f14788,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f14787]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f885]) ).
cnf(s238,plain,
~ spl0_2,
inference(sat_conversion,[],[f14788]) ).
cnf(s244,plain,
$false,
inference(rat,[],[s2,s238]) ).
fof(f14789,plain,
$false,
inference(avatar_sat_refutation,[],[s244]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV793-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.16 % Computer : n008.cluster.edu
% 0.08/0.16 % Model : x86_64 x86_64
% 0.08/0.16 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.16 % Memory : 8046.5625MB
% 0.08/0.16 % OS : Linux 6.8.0-71-generic
% 0.08/0.16 % CPULimit : 300
% 0.08/0.16 % WCLimit : 300
% 0.08/0.16 % DateTime : Mon Sep 28 12:34:39 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.78/0.50 % (2222469)Will run a generic schedule for satisfiability detection.
% 1.78/0.50 % (2222475)% WARNING: option uhcvi not known.
% 1.78/0.50 % (2222475)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=317611169:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.78/0.50 % (2222474)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1247993322_2999 on theBenchmark for (2999ds/0Mi)
% 1.78/0.50 % (2222477)dis+10_1_sil=32000:sp=arity:random_seed=1866659188:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.78/0.50 % (2222476)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=455714169:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.78/0.50 % (2222479)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=258126098:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.78/0.50 % (2222478)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3445465725:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.78/0.50 % (2222480)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=941071469:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.78/0.50 % (2222477)Instruction limit reached!
% 1.78/0.50 % (2222477)------------------------------
% 1.78/0.50 % (2222477)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222477)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222477)Termination reason: Instruction limit
% 1.78/0.50 % (2222477)Termination phase: Saturation
% 1.78/0.50 % (2222477)Time elapsed: 0.066 s
% 1.78/0.50 % (2222477)Peak memory usage: 13 MB
% 1.78/0.50 % (2222477)Instructions burned: 103 (million)
% 1.78/0.50 % (2222478)Instruction limit reached!
% 1.78/0.50 % (2222478)------------------------------
% 1.78/0.50 % (2222478)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222478)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222478)Termination reason: Instruction limit
% 1.78/0.50 % (2222478)Termination phase: Saturation
% 1.78/0.50 % (2222478)Time elapsed: 0.068 s
% 1.78/0.50 % (2222478)Peak memory usage: 13 MB
% 1.78/0.50 % (2222478)Instructions burned: 117 (million)
% 1.78/0.50 % (2222479)Instruction limit reached!
% 1.78/0.50 % (2222479)------------------------------
% 1.78/0.50 % (2222479)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222479)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222479)Termination reason: Instruction limit
% 1.78/0.50 % (2222479)Termination phase: Saturation
% 1.78/0.50 % (2222479)Time elapsed: 0.086 s
% 1.78/0.50 % (2222479)Peak memory usage: 13 MB
% 1.78/0.50 % (2222479)Instructions burned: 132 (million)
% 1.78/0.50 % (2222488)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1315100599:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.78/0.50 % (2222480)Instruction limit reached!
% 1.78/0.50 % (2222480)------------------------------
% 1.78/0.50 % (2222480)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222480)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222480)Termination reason: Instruction limit
% 1.78/0.50 % (2222480)Termination phase: Saturation
% 1.78/0.50 % (2222480)Time elapsed: 0.086 s
% 1.78/0.50 % (2222480)Peak memory usage: 12 MB
% 1.78/0.50 % (2222480)Instructions burned: 161 (million)
% 1.78/0.50 % (2222489)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2210629381:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.78/0.50 % (2222493)ott-21_1_sil=16000:fs=off:random_seed=937856080:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 1.78/0.50 % (2222491)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=3642920282:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.78/0.50 % (2222489)Instruction limit reached!
% 1.78/0.50 % (2222489)------------------------------
% 1.78/0.50 % (2222489)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222489)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222489)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222489)Termination reason: Instruction limit
% 1.78/0.50 % (2222489)Termination phase: Saturation
% 1.78/0.50 % (2222489)Time elapsed: 0.085 s
% 1.78/0.50 % (2222489)Peak memory usage: 13 MB
% 1.78/0.50 % (2222489)Instructions burned: 132 (million)
% 1.78/0.50 % (2222493)Instruction limit reached!
% 1.78/0.50 % (2222493)------------------------------
% 1.78/0.50 % (2222493)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222493)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222493)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222493)Termination reason: Instruction limit
% 1.78/0.50 % (2222493)Termination phase: Saturation
% 1.78/0.50 % (2222493)Time elapsed: 0.069 s
% 1.78/0.50 % (2222493)Peak memory usage: 12 MB
% 1.78/0.50 % (2222493)Instructions burned: 180 (million)
% 1.78/0.50 % TRYING [1]
% 1.78/0.50 % TRYING [2]
% 1.78/0.50 % (2222496)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=592272751:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.78/0.50 % (2222497)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1704839469:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 1.78/0.50 % (2222475) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2222469-2222475"...
% 1.78/0.50 % (2222475)...printing done.
% 1.78/0.50 % (2222475)Refutation found. Thanks to Tanya!
% 1.78/0.50 % SZS status Unsatisfiable for theBenchmark
% 1.78/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 1.78/0.50 % (2222475)------------------------------
% 1.78/0.50 % (2222475)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.78/0.50 % (2222475)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.78/0.50 % (2222475)CaDiCaL version: 2.1.3
% 1.78/0.50 % (2222475)Termination reason: Refutation
% 1.78/0.50 % (2222475)Time elapsed: 0.253 s
% 1.78/0.50 % (2222475)Peak memory usage: 19 MB
% 1.78/0.50 % (2222475)Instructions burned: 751 (million)
% 1.78/0.50 % (2222469)Success in time 0.295 s
% 1.78/0.50 % Vampire exiting
%------------------------------------------------------------------------------