%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV331-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 01:20:56 PM UTC 2026
% Result : Unsatisfiable 2.23s 0.67s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 6
% Syntax : Number of formulae : 18 ( 11 unt; 0 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 25 ( 11 ~; 14 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 12 ( 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3578,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)
| ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-5.ax',cls_Yahalom_Onew__keys__not__used_0) ).
fof(f3581,axiom,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| ~ c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(X2),tc_nat) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWV005-6.ax',cls_Public_OCrypt__imp__keysFor_0) ).
fof(f3591,negated_conjecture,
c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f3592,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3593,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3596,negated_conjecture,
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_evs3)),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f5143,plain,
! [X0,X1] :
( ~ c_in(c_Message_Omsg_OKey(X0),c_Event_Oused(X1),tc_Message_Omsg)
| c_in(X0,c_Message_OsymKeys,tc_nat)
| c_in(X1,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat) ),
inference(consistent_polarity_flipping,[],[f3578]) ).
fof(f5146,plain,
! [X2,X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(X2),tc_nat)
| c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
| c_in(X0,c_Message_OsymKeys,tc_nat) ),
inference(consistent_polarity_flipping,[],[f3581]) ).
fof(f5152,plain,
~ c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent)),
inference(consistent_polarity_flipping,[],[f3591]) ).
fof(f5153,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evs3),tc_Message_Omsg),
inference(consistent_polarity_flipping,[],[f3592]) ).
fof(f5154,plain,
~ c_in(v_K,c_Message_OsymKeys,tc_nat),
inference(consistent_polarity_flipping,[],[f3593]) ).
fof(f5157,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_evs3)),tc_Message_Omsg),
inference(consistent_polarity_flipping,[],[f3596]) ).
fof(f19976,plain,
( c_in(v_K,c_Message_OsymKeys,tc_nat)
| c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
inference(resolution,[],[f5143,f5153]) ).
fof(f19983,plain,
( c_in(v_evs3,c_Yahalom_Oyahalom,tc_List_Olist(tc_Event_Oevent))
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat) ),
inference(forward_subsumption_resolution,[],[f19976,f5154]) ).
fof(f19984,plain,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3))),tc_nat),
inference(forward_subsumption_resolution,[],[f19983,f5152]) ).
fof(f20736,plain,
! [X0] :
( c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg)
| c_in(v_K,c_Message_OsymKeys,tc_nat) ),
inference(resolution,[],[f19984,f5146]) ).
fof(f20751,plain,
! [X0] : c_in(c_Message_Omsg_OCrypt(v_K,X0),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs3)),tc_Message_Omsg),
inference(forward_subsumption_resolution,[],[f20736,f5154]) ).
fof(f20941,plain,
$false,
inference(backward_subsumption_resolution,[],[f5157,f20751]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV331-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 % Computer : n019.cluster.edu
% 0.08/0.21 % Model : x86_64 x86_64
% 0.08/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.21 % Memory : 8046.5625MB
% 0.08/0.21 % OS : Linux 6.8.0-71-generic
% 0.08/0.21 % CPULimit : 300
% 0.08/0.21 % WCLimit : 300
% 0.08/0.21 % DateTime : Mon Sep 28 10:37:34 UTC 2026
% 0.08/0.21 % CPUTime :
% 0.08/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 2.23/0.67 % (3917051)Will run a generic schedule for satisfiability detection.
% 2.23/0.67 % (3917057)% WARNING: option uhcvi not known.
% 2.23/0.67 % (3917057)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2271503710:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.23/0.67 % (3917056)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1220573184_2999 on theBenchmark for (2999ds/0Mi)
% 2.23/0.67 % (3917059)dis+10_1_sil=32000:sp=arity:random_seed=1012557406:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.23/0.67 % (3917058)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3540170252:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.23/0.67 % (3917060)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3508073815:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.23/0.67 % (3917061)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1143705653:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.23/0.67 % (3917062)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=3722003491:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.23/0.67 % (3917059)Instruction limit reached!
% 2.23/0.67 % (3917059)------------------------------
% 2.23/0.67 % (3917059)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917059)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917059)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917059)Termination reason: Instruction limit
% 2.23/0.67 % (3917059)Termination phase: Saturation
% 2.23/0.67 % (3917059)Time elapsed: 0.061 s
% 2.23/0.67 % (3917059)Peak memory usage: 15 MB
% 2.23/0.67 % (3917059)Instructions burned: 104 (million)
% 2.23/0.67 % (3917060)Instruction limit reached!
% 2.23/0.67 % (3917060)------------------------------
% 2.23/0.67 % (3917060)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917060)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917060)Termination reason: Instruction limit
% 2.23/0.67 % (3917060)Termination phase: Saturation
% 2.23/0.67 % (3917060)Time elapsed: 0.063 s
% 2.23/0.67 % (3917060)Peak memory usage: 16 MB
% 2.23/0.67 % (3917060)Instructions burned: 116 (million)
% 2.23/0.67 % (3917061)Instruction limit reached!
% 2.23/0.67 % (3917061)------------------------------
% 2.23/0.67 % (3917061)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917061)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917061)Termination reason: Instruction limit
% 2.23/0.67 % (3917061)Termination phase: Saturation
% 2.23/0.67 % (3917061)Time elapsed: 0.074 s
% 2.23/0.67 % (3917061)Peak memory usage: 16 MB
% 2.23/0.67 % (3917061)Instructions burned: 131 (million)
% 2.23/0.67 % (3917070)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1917906212:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.23/0.67 % (3917071)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3921568849:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.23/0.67 % (3917072)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=2419519085:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.23/0.67 % (3917062)Instruction limit reached!
% 2.23/0.67 % (3917062)------------------------------
% 2.23/0.67 % (3917062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917062)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917062)Termination reason: Instruction limit
% 2.23/0.67 % (3917062)Termination phase: Saturation
% 2.23/0.67 % (3917062)Time elapsed: 0.097 s
% 2.23/0.67 % (3917062)Peak memory usage: 17 MB
% 2.23/0.67 % (3917062)Instructions burned: 159 (million)
% 2.23/0.67 % (3917076)ott-21_1_sil=16000:fs=off:random_seed=2795223369:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 2.23/0.67 % (3917071)Instruction limit reached!
% 2.23/0.67 % (3917071)------------------------------
% 2.23/0.67 % (3917071)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917071)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917071)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917071)Termination reason: Instruction limit
% 2.23/0.67 % (3917071)Termination phase: Saturation
% 2.23/0.67 % (3917071)Time elapsed: 0.076 s
% 2.23/0.67 % (3917071)Peak memory usage: 16 MB
% 2.23/0.67 % (3917071)Instructions burned: 132 (million)
% 2.23/0.67 % (3917078)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2847242935:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.23/0.67 % (3917076)Instruction limit reached!
% 2.23/0.67 % (3917076)------------------------------
% 2.23/0.67 % (3917076)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917076)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917076)Termination reason: Instruction limit
% 2.23/0.67 % (3917076)Termination phase: Saturation
% 2.23/0.67 % (3917076)Time elapsed: 0.090 s
% 2.23/0.67 % (3917076)Peak memory usage: 16 MB
% 2.23/0.67 % (3917076)Instructions burned: 181 (million)
% 2.23/0.67 % (3917080)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=572363862:fmbsr=1.3:i=865:ins=25_2996 on theBenchmark for (2996ds/865Mi)
% 2.23/0.67 % (3917057) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3917051-3917057"...
% 2.23/0.67 % (3917057)...printing done.
% 2.23/0.67 % (3917057)Refutation found. Thanks to Tanya!
% 2.23/0.67 % SZS status Unsatisfiable for theBenchmark
% 2.23/0.67 % SZS output start Proof for theBenchmark
% See solution above
% 2.23/0.67 % (3917057)------------------------------
% 2.23/0.67 % (3917057)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.23/0.67 % (3917057)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.23/0.67 % (3917057)CaDiCaL version: 2.1.3
% 2.23/0.67 % (3917057)Termination reason: Refutation
% 2.23/0.67 % (3917057)Time elapsed: 0.312 s
% 2.23/0.67 % (3917057)Peak memory usage: 24 MB
% 2.23/0.67 % (3917057)Instructions burned: 868 (million)
% 2.23/0.67 % (3917051)Success in time 0.422 s
% 2.23/0.67 % Vampire exiting
%------------------------------------------------------------------------------