%------------------------------------------------------------------------------
% File : Vampire---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 THM
% Computer : n026.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 01:08:49 PM UTC 2026
% Result : Unsatisfiable 5.12s 1.55s
% Output : Refutation 5.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 12
% Syntax : Number of formulae : 35 ( 14 unt; 3 def)
% Number of atoms : 58 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 43 ( 20 ~; 20 |; 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 : 15 ( 0 sgn 15 !; 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/theBenchmark.p',cls_Message_OMPair__parts_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/theBenchmark.p',cls_Message_OMPair__analz_0) ).
fof(f3465,axiom,
! [X0,X1] :
( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_Oanalz__conj__parts_0) ).
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(f3573,definition,
( spl0_1
<=> c_in(v_A,c_Event_Obad,tc_Message_Oagent) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f3576,definition,
( spl0_2
<=> v_K = c_Public_OshrK(v_A) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f3577,plain,
( v_K = c_Public_OshrK(v_A)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f3576]) ).
fof(f3578,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f3571,f3576,f3573]) ).
fof(f3583,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(f3586,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,[],[f3583]) ).
fof(f3587,plain,
( ~ spl0_3
| spl0_1 ),
inference(avatar_split_clause,[],[f3566,f3573,f3583]) ).
fof(f3588,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f3565,f3573]) ).
fof(f3605,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,[],[f3586,f3577]) ).
fof(f3613,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,[],[f3564,f3558]) ).
fof(f3617,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,[],[f3613,f3444]) ).
fof(f3708,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,[],[f3617,f3444]) ).
fof(f3737,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_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evso)),tc_Message_Omsg),
inference(resolution,[],[f3708,f3465]) ).
fof(f3739,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(resolution,[],[f3737,f3560]) ).
fof(f3758,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(resolution,[],[f3739,f3310]) ).
fof(f3760,plain,
( $false
| ~ spl0_2
| spl0_3 ),
inference(forward_subsumption_resolution,[],[f3758,f3605]) ).
fof(f3761,plain,
( ~ spl0_2
| spl0_3 ),
inference(avatar_contradiction_clause,[],[f3760]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f3578]) ).
cnf(s4,plain,
( spl0_1
| ~ spl0_3 ),
inference(sat_conversion,[],[f3587]) ).
cnf(s5,plain,
~ spl0_1,
inference(sat_conversion,[],[f3588]) ).
cnf(s8,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f3761]) ).
cnf(s9,plain,
~ spl0_3,
inference(rat,[],[s4,s5]) ).
cnf(s10,plain,
~ spl0_2,
inference(rat,[],[s8,s9]) ).
cnf(s11,plain,
$false,
inference(rat,[],[s1,s10,s5]) ).
fof(f3762,plain,
$false,
inference(avatar_sat_refutation,[],[s11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV319-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n026.cluster.edu
% 0.10/0.18 % Model : x86_64 x86_64
% 0.10/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.18 % Memory : 8046.5625MB
% 0.10/0.18 % OS : Linux 6.8.0-71-generic
% 0.10/0.18 % CPULimit : 300
% 0.10/0.18 % WCLimit : 300
% 0.10/0.18 % DateTime : Mon Sep 28 10:36:57 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.35/1.35 % (3768752)Input is clausal, will run a generic CNF schedule.
% 4.35/1.35 % (3768759)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=767950955:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.35/1.35 % (3768763)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4276297062:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.35/1.35 % (3768761)lrs+10_1_sil=8000:sp=occurrence:random_seed=3555107721:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.35/1.35 % (3768758)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=597962582:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.35/1.35 % (3768762)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3585572030:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.35/1.35 % (3768760)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3907293783:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.35/1.36 % (3768764)dis-21_1_sil=8000:lcm=predicate:random_seed=2459608503: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)
% 4.35/1.36 % (3768762)Instruction limit reached!
% 4.35/1.36 % (3768762)------------------------------
% 4.35/1.36 % (3768762)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.36 % (3768762)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.36 % (3768762)CaDiCaL version: 2.1.3
% 4.35/1.36 % (3768762)Termination reason: Instruction limit
% 4.35/1.36 % (3768762)Termination phase: Saturation
% 4.35/1.36 % (3768762)Time elapsed: 0.071 s
% 4.35/1.36 % (3768762)Peak memory usage: 90 MB
% 4.35/1.36 % (3768762)Instructions burned: 114 (million)
% 4.35/1.36 % (3768761)Instruction limit reached!
% 4.35/1.36 % (3768761)------------------------------
% 4.35/1.36 % (3768761)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.36 % (3768761)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.36 % (3768761)CaDiCaL version: 2.1.3
% 4.35/1.36 % (3768761)Termination reason: Instruction limit
% 4.35/1.36 % (3768761)Termination phase: Saturation
% 4.35/1.36 % (3768761)Time elapsed: 0.072 s
% 4.35/1.36 % (3768761)Peak memory usage: 91 MB
% 4.35/1.36 % (3768761)Instructions burned: 108 (million)
% 4.35/1.36 % (3768764)Instruction limit reached!
% 4.35/1.36 % (3768764)------------------------------
% 4.35/1.36 % (3768764)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.36 % (3768764)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.36 % (3768764)CaDiCaL version: 2.1.3
% 4.35/1.36 % (3768764)Termination reason: Instruction limit
% 4.35/1.36 % (3768764)Termination phase: Saturation
% 4.35/1.36 % (3768764)Time elapsed: 0.064 s
% 4.35/1.36 % (3768764)Peak memory usage: 91 MB
% 4.35/1.36 % (3768764)Instructions burned: 117 (million)
% 4.35/1.36 % (3768763)Instruction limit reached!
% 4.35/1.36 % (3768763)------------------------------
% 4.35/1.36 % (3768763)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.35/1.36 % (3768763)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.35/1.36 % (3768763)CaDiCaL version: 2.1.3
% 4.35/1.36 % (3768763)Termination reason: Instruction limit
% 4.35/1.36 % (3768763)Termination phase: Saturation
% 4.35/1.36 % (3768763)Time elapsed: 0.109 s
% 4.35/1.36 % (3768763)Peak memory usage: 91 MB
% 4.35/1.36 % (3768763)Instructions burned: 181 (million)
% 4.35/1.36 % (3768773)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3076904960: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)
% 4.35/1.36 % (3768772)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=4196399165:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.35/1.36 % (3768774)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=734229471:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 4.35/1.36 % (3768772)First to succeed.
% 4.35/1.36 % (3768772)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3768752"
% 4.35/1.36 % (3768774)Refutation not found, incomplete strategy
% 5.12/1.55 % (3768774)------------------------------
% 5.12/1.55 % (3768774)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.55 % (3768774)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.55 % (3768774)CaDiCaL version: 2.1.3
% 5.12/1.55 % (3768774)Termination reason: Refutation not found, incomplete strategy
% 5.12/1.55 % (3768774)Time elapsed: 0.042 s
% 5.12/1.55 % (3768774)Peak memory usage: 91 MB
% 5.12/1.55 % (3768774)Instructions burned: 68 (million)
% 5.12/1.55 % (3768775)lrs+10_64_to=lpo:sil=8000:random_seed=3453016266:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.12/1.55 % (3768773)Instruction limit reached!
% 5.12/1.55 % (3768773)------------------------------
% 5.12/1.55 % (3768773)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.55 % (3768773)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.55 % (3768773)CaDiCaL version: 2.1.3
% 5.12/1.55 % (3768773)Termination reason: Instruction limit
% 5.12/1.55 % (3768773)Termination phase: Saturation
% 5.12/1.55 % (3768773)Time elapsed: 0.110 s
% 5.12/1.55 % (3768773)Peak memory usage: 93 MB
% 5.12/1.55 % (3768773)Instructions burned: 190 (million)
% 5.12/1.55 % (3768775)Instruction limit reached!
% 5.12/1.55 % (3768775)------------------------------
% 5.12/1.55 % (3768775)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.55 % (3768775)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.55 % (3768775)CaDiCaL version: 2.1.3
% 5.12/1.55 % (3768775)Termination reason: Instruction limit
% 5.12/1.55 % (3768775)Termination phase: Saturation
% 5.12/1.55 % (3768775)Time elapsed: 0.073 s
% 5.12/1.55 % (3768775)Peak memory usage: 92 MB
% 5.12/1.55 % (3768775)Instructions burned: 126 (million)
% 5.12/1.55 % (3768780)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1076870288:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.12/1.55 % (3768781)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1363283230:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.12/1.55 % (3768772)Refutation found. Thanks to Tanya!
% 5.12/1.55 % SZS status Unsatisfiable for theBenchmark
% 5.12/1.55 % SZS output start Proof for theBenchmark
% See solution above
% 5.12/1.55 % (3768772)------------------------------
% 5.12/1.55 % (3768772)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.12/1.55 % (3768772)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.12/1.55 % (3768772)CaDiCaL version: 2.1.3
% 5.12/1.55 % (3768772)Termination reason: Refutation
% 5.12/1.55 % (3768772)Time elapsed: 0.023 s
% 5.12/1.55 % (3768772)Peak memory usage: 92 MB
% 5.12/1.55 % (3768772)Instructions burned: 33 (million)
% 5.12/1.55 % (3768772)------------------------------
% 5.12/1.55 % (3768772)------------------------------
% 5.12/1.55 % (3768752)Success in time 0.705 s
% 5.12/1.55 % Vampire exiting
%------------------------------------------------------------------------------