%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV312-1 : 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 : n002.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 01:08:47 PM UTC 2026
% Result : Unsatisfiable 2.52s 0.84s
% Output : Refutation 2.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 17 ( 8 unt; 2 def)
% Number of atoms : 26 ( 0 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 18 ( 9 ~; 7 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 3 ( 2 avg)
% Maximal term depth : 11 ( 3 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 16 ( 16 usr; 9 con; 0-3 aty)
% Number of variables : 1 ( 0 sgn 1 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1569,negated_conjecture,
c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1570,negated_conjecture,
! [X0] : ~ c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f1571,negated_conjecture,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_7) ).
fof(f1740,definition,
( spl1_5
<=> c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[spl1_5])],[avatar_definition]) ).
fof(f1741,plain,
( ~ c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_B,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OKey(v_K))),c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| spl1_5 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1743,definition,
( spl1_6
<=> c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ),
introduced(definition,[new_symbols(definition,[spl1_6])],[avatar_definition]) ).
fof(f1744,plain,
( c_in(c_Event_Oevent_OSays(v_B,c_Message_Oagent_OServer,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(v_x,c_Message_Omsg_OCrypt(c_Public_OshrK(v_B),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_NB,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))))))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent)
| ~ spl1_6 ),
inference(avatar_component_clause,[],[f1743]) ).
fof(f1745,plain,
( ~ spl1_5
| spl1_6 ),
inference(avatar_split_clause,[],[f1571,f1743,f1740]) ).
fof(f1746,plain,
( $false
| spl1_5 ),
inference(resolution,[],[f1569,f1741]) ).
fof(f1747,plain,
spl1_5,
inference(avatar_contradiction_clause,[],[f1746]) ).
fof(f1748,plain,
( $false
| ~ spl1_6 ),
inference(resolution,[],[f1570,f1744]) ).
fof(f1749,plain,
~ spl1_6,
inference(avatar_contradiction_clause,[],[f1748]) ).
cnf(s2,plain,
( ~ spl1_5
| spl1_6 ),
inference(sat_conversion,[],[f1745]) ).
cnf(s3,plain,
spl1_5,
inference(sat_conversion,[],[f1747]) ).
cnf(s4,plain,
~ spl1_6,
inference(sat_conversion,[],[f1749]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f1750,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV312-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.18 % Computer : n002.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 10:35:07 UTC 2026
% 0.10/0.18 % CPUTime :
% 0.10/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 Running first-order theorem proving
% 0.10/0.21 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
% 2.52/0.84 % (266138)Input is clausal, will run a generic CNF schedule.
% 2.52/0.84 % (266149)dis-21_1_sil=8000:lcm=predicate:random_seed=1008429020: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)
% 2.52/0.84 % (266149)First to succeed.
% 2.52/0.84 % (266149)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-266138"
% 2.52/0.84 % (266148)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2148645390:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 2.52/0.84 % (266147)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2379282718:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 2.52/0.84 % (266145)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4183932174:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 2.52/0.84 % (266144)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1028872182:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 2.52/0.84 % (266146)lrs+10_1_sil=8000:sp=occurrence:random_seed=752124803:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 2.52/0.84 % (266143)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=4047978763:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 2.52/0.84 % (266146)Also succeeded, but the first one will report.
% 2.52/0.84 % (266147)Also succeeded, but the first one will report.
% 2.52/0.84 % (266148)Also succeeded, but the first one will report.
% 2.52/0.84 % (266149)Refutation found. Thanks to Tanya!
% 2.52/0.84 % SZS status Unsatisfiable for theBenchmark
% 2.52/0.84 % SZS output start Proof for theBenchmark
% See solution above
% 2.52/0.84 % (266149)------------------------------
% 2.52/0.84 % (266149)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.52/0.84 % (266149)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.52/0.84 % (266149)CaDiCaL version: 2.1.3
% 2.52/0.84 % (266149)Termination reason: Refutation
% 2.52/0.84 % (266149)Time elapsed: 0.007 s
% 2.52/0.84 % (266149)Peak memory usage: 90 MB
% 2.52/0.84 % (266149)Instructions burned: 18 (million)
% 2.52/0.84 % (266149)------------------------------
% 2.52/0.84 % (266149)------------------------------
% 2.52/0.84 % (266138)Success in time 0.319 s
% 2.52/0.84 % Vampire exiting
%------------------------------------------------------------------------------