%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV319-1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n005.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 01:20:53 PM UTC 2026
% Result : Unsatisfiable 1.32s 0.51s
% Output : Refutation 1.32s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 14
% Syntax : Number of formulae : 44 ( 19 unt; 3 def)
% Number of atoms : 71 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 51 ( 24 ~; 24 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 13 con; 0-3 aty)
% Number of variables : 25 ( 0 sgn 25 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3310,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_OMPair__parts_0) ).
fof(f3366,axiom,
! [X0,X1] :
( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,X1,tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-0.ax',cls_Message_Oparts_OInj_0) ).
fof(f3444,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_OMPair__analz_0) ).
fof(f3486,axiom,
! [X0] : c_Message_Oparts(c_Message_Oanalz(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__analz_0) ).
fof(f3487,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oanalz(X0)),
inference(reorient_equations,[],[f3486]) ).
fof(f3490,axiom,
! [X0] : c_Message_Oparts(c_Message_Oparts(X0)) = c_Message_Oparts(X0),
file('/export/starexec/sandbox/benchmark/Axioms/SWV005-2.ax',cls_Message_Oparts__idem_0) ).
fof(f3491,plain,
! [X0] : c_Message_Oparts(X0) = c_Message_Oparts(c_Message_Oparts(X0)),
inference(reorient_equations,[],[f3490]) ).
fof(f3558,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(c_Event_Oevent_OSays(X0,X1,X2),c_List_Oset(X3,tc_Event_Oevent),tc_Event_Oevent)
| c_in(X2,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X3)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Event_OSays__imp__analz__Spy__dest_0) ).
fof(f3560,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oparts_OBody__dest_0) ).
fof(f3564,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evso,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f3565,negated_conjecture,
~ c_in(v_A,c_Event_Obad,tc_Message_Oagent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f3566,negated_conjecture,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f3570,negated_conjecture,
( c_Public_OshrK(v_A) = v_K
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f3571,plain,
( v_K = c_Public_OshrK(v_A)
| c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
inference(reorient_equations,[],[f3570]) ).
fof(f3827,definition,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3829,plain,
( c_in(v_A,c_Event_Obad,tc_Message_Oagent)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f3827]) ).
fof(f3831,definition,
( spl0_2
<=> v_K = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3833,plain,
( v_K = c_Public_OshrK(v_A)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3831]) ).
fof(f3834,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3571,f3831,f3827]) ).
fof(f3837,definition,
( spl0_3
<=> c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f3838,plain,
( ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(v_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| spl0_3 ),
inference(avatar_component_clause,[],[f3837]) ).
fof(f3841,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f3566,f3827,f3837]) ).
fof(f3851,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f3829,f3565]) ).
fof(f3852,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f3851]) ).
fof(f3853,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg)
| ~ spl0_2
| spl0_3 ),
inference(forward_demodulation,[],[f3838,f3833]) ).
fof(f3886,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f3310,f3366]) ).
fof(f3940,plain,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),X1,tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
inference(resolution,[],[f3560,f3366]) ).
fof(f4910,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[],[f3558,f3564]) ).
fof(f4916,plain,
c_in(c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[],[f4910,f3444]) ).
fof(f4969,plain,
c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K))),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[],[f4916,f3444]) ).
fof(f5143,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg),
inference(resolution,[],[f4969,f3940]) ).
fof(f5151,plain,
c_in(c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(forward_demodulation,[],[f5143,f3487]) ).
fof(f5155,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso))),tc_Message_Omsg),
inference(resolution,[],[f5151,f3886]) ).
fof(f5165,plain,
c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(forward_demodulation,[],[f5155,f3491]) ).
fof(f5170,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f5165,f3853]) ).
fof(f5171,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f5170]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3834]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f3841]) ).
cnf(s7,plain,
~ spl0_1,
inference(sat_conversion,[],[f3852]) ).
cnf(s12,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f5171]) ).
cnf(s13,plain,
~ spl0_3,
inference(rat,[],[s4,s7]) ).
cnf(s14,plain,
~ spl0_2,
inference(rat,[],[s12,s13]) ).
cnf(s15,plain,
$false,
inference(rat,[],[s1,s14,s7]) ).
fof(f5172,plain,
$false,
inference(avatar_sat_refutation,[],[s15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV319-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n005.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 10:34:02 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.32/0.50 % (700323)Will run a generic schedule for satisfiability detection.
% 1.32/0.50 % (700332)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2518377584:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 1.32/0.50 % (700329)% WARNING: option uhcvi not known.
% 1.32/0.50 % (700328)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2105719029_2999 on theBenchmark for (2999ds/0Mi)
% 1.32/0.50 % (700329)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1830412407:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 1.32/0.50 % (700330)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2161286563:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 1.32/0.50 % (700331)dis+10_1_sil=32000:sp=arity:random_seed=2299762189:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 1.32/0.50 % (700333)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1257988960:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 1.32/0.50 % (700334)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1672297094:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 1.32/0.50 % (700332)Instruction limit reached!
% 1.32/0.50 % (700332)------------------------------
% 1.32/0.50 % (700332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (700332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (700332)CaDiCaL version: 2.1.3
% 1.32/0.50 % (700332)Termination reason: Instruction limit
% 1.32/0.50 % (700332)Termination phase: Saturation
% 1.32/0.50 % (700332)Time elapsed: 0.035 s
% 1.32/0.50 % (700332)Peak memory usage: 16 MB
% 1.32/0.50 % (700332)Instructions burned: 118 (million)
% 1.32/0.50 % (700342)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1264914566:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 1.32/0.50 % (700331)Instruction limit reached!
% 1.32/0.50 % (700331)------------------------------
% 1.32/0.50 % (700331)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (700331)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (700331)CaDiCaL version: 2.1.3
% 1.32/0.50 % (700331)Termination reason: Instruction limit
% 1.32/0.50 % (700331)Termination phase: Saturation
% 1.32/0.50 % (700331)Time elapsed: 0.060 s
% 1.32/0.50 % (700331)Peak memory usage: 15 MB
% 1.32/0.50 % (700331)Instructions burned: 103 (million)
% 1.32/0.50 % (700333)Instruction limit reached!
% 1.32/0.50 % (700333)------------------------------
% 1.32/0.50 % (700333)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (700333)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (700333)CaDiCaL version: 2.1.3
% 1.32/0.50 % (700333)Termination reason: Instruction limit
% 1.32/0.50 % (700333)Termination phase: Saturation
% 1.32/0.50 % (700333)Time elapsed: 0.075 s
% 1.32/0.50 % (700333)Peak memory usage: 16 MB
% 1.32/0.50 % (700333)Instructions burned: 132 (million)
% 1.32/0.50 % (700344)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2954113572:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 1.32/0.50 % (700345)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=2891719957:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 1.32/0.50 % (700334)Instruction limit reached!
% 1.32/0.50 % (700334)------------------------------
% 1.32/0.50 % (700334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (700334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (700334)CaDiCaL version: 2.1.3
% 1.32/0.50 % (700334)Termination reason: Instruction limit
% 1.32/0.50 % (700334)Termination phase: Saturation
% 1.32/0.50 % (700334)Time elapsed: 0.097 s
% 1.32/0.50 % (700334)Peak memory usage: 17 MB
% 1.32/0.50 % (700334)Instructions burned: 159 (million)
% 1.32/0.50 % (700348)ott-21_1_sil=16000:fs=off:random_seed=2606585357:i=180:av=off:fsr=off_2997 on theBenchmark for (2997ds/180Mi)
% 1.32/0.50 % (700344)Instruction limit reached!
% 1.32/0.50 % (700344)------------------------------
% 1.32/0.50 % (700344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.50 % (700344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.50 % (700344)CaDiCaL version: 2.1.3
% 1.32/0.50 % (700344)Termination reason: Instruction limit
% 1.32/0.51 % (700344)Termination phase: Saturation
% 1.32/0.51 % (700344)Time elapsed: 0.075 s
% 1.32/0.51 % (700344)Peak memory usage: 16 MB
% 1.32/0.51 % (700344)Instructions burned: 131 (million)
% 1.32/0.51 % (700345) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-700323-700345"...
% 1.32/0.51 % (700345)...printing done.
% 1.32/0.51 % (700350)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=594125368:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 1.32/0.51 % (700345)Refutation found. Thanks to Tanya!
% 1.32/0.51 % SZS status Unsatisfiable for theBenchmark
% 1.32/0.51 % SZS output start Proof for theBenchmark
% See solution above
% 1.32/0.51 % (700345)------------------------------
% 1.32/0.51 % (700345)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 1.32/0.51 % (700345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.32/0.51 % (700345)CaDiCaL version: 2.1.3
% 1.32/0.51 % (700345)Termination reason: Refutation
% 1.32/0.51 % (700345)Time elapsed: 0.076 s
% 1.32/0.51 % (700345)Peak memory usage: 17 MB
% 1.32/0.51 % (700345)Instructions burned: 136 (million)
% 1.32/0.51 % (700323)Success in time 0.283 s
% 1.32/0.51 % Vampire exiting
%------------------------------------------------------------------------------