%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV326-1 : 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 : n015.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 01:08:51 PM UTC 2026
% Result : Unsatisfiable 0.21s 1.14s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 10
% Syntax : Number of formulae : 36 ( 9 unt; 3 def)
% Number of atoms : 69 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 67 ( 34 ~; 30 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 9 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1432,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/sandbox/benchmark/theBenchmark.p',cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0) ).
fof(f1481,axiom,
! [X2,X0,X1] :
( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
| c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Message_OMPair__parts_1) ).
fof(f1526,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(f1570,negated_conjecture,
~ c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f1584,negated_conjecture,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_27) ).
fof(f1587,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f1599,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f1617,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
inference(definition_unfolding,[],[f1584,f1587,f1587]) ).
fof(f1630,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f1647,definition,
( spl0_6
<=> v_NA = c_Message_Omsg_ONonce(v_NAa) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1648,plain,
( v_NA = c_Message_Omsg_ONonce(v_NAa)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1647]) ).
fof(f1650,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f1630]) ).
fof(f1653,definition,
( spl0_7
<=> c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_7])],[avatar_definition]) ).
fof(f1654,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_7 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1659,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f1617,f1630,f1653]) ).
fof(f1667,plain,
spl0_6,
inference(avatar_split_clause,[],[f1599,f1647]) ).
fof(f1668,plain,
( ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_6 ),
inference(superposition,[],[f1570,f1648]) ).
fof(f1670,plain,
( c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_Aa),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_6
| ~ spl0_7 ),
inference(superposition,[],[f1654,f1648]) ).
fof(f2040,plain,
( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_B))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f1526,f1670]) ).
fof(f2043,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2040,f1481]) ).
fof(f2047,plain,
( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_6
| ~ spl0_7 ),
inference(resolution,[],[f2043,f1432]) ).
fof(f2048,plain,
( $false
| ~ spl0_6
| ~ spl0_7 ),
inference(forward_subsumption_resolution,[],[f2047,f1668]) ).
fof(f2049,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(avatar_contradiction_clause,[],[f2048]) ).
fof(f2054,plain,
( c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_Aa),c_Message_Omsg_OAgent(v_C))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f1650,f1526]) ).
fof(f2056,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f2054,f1481]) ).
fof(f2060,plain,
( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f2056,f1432]) ).
fof(f2061,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2060,f1668]) ).
fof(f2062,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f2061]) ).
cnf(s8,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f1659]) ).
cnf(s15,plain,
spl0_6,
inference(sat_conversion,[],[f1667]) ).
cnf(s16,plain,
( ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f2049]) ).
cnf(s17,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f2062]) ).
cnf(s18,plain,
~ spl0_1,
inference(rat,[],[s17,s15]) ).
cnf(s19,plain,
~ spl0_7,
inference(rat,[],[s16,s15]) ).
cnf(s21,plain,
$false,
inference(rat,[],[s8,s19,s18]) ).
fof(f2063,plain,
$false,
inference(avatar_sat_refutation,[],[s21]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV326-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.20 % Computer : n015.cluster.edu
% 0.09/0.20 % Model : x86_64 x86_64
% 0.09/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20 % Memory : 8046.5625MB
% 0.09/0.20 % OS : Linux 6.8.0-71-generic
% 0.09/0.20 % CPULimit : 300
% 0.09/0.20 % WCLimit : 300
% 0.09/0.20 % DateTime : Mon Sep 28 10:38:47 UTC 2026
% 0.09/0.21 % CPUTime :
% 0.09/0.21 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.24 Running first-order theorem proving
% 0.09/0.24 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
% 0.21/1.14 % (2529453)Input is clausal, will run a generic CNF schedule.
% 0.21/1.14 % (2529462)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=138499609:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.21/1.14 % (2529462)First to succeed.
% 0.21/1.14 % (2529462)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2529453"
% 0.21/1.14 % (2529459)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=244204638:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.21/1.14 % (2529460)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2837610781:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.21/1.14 % (2529464)dis-21_1_sil=8000:lcm=predicate:random_seed=3340516982: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)
% 0.21/1.14 % (2529458)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=130314263:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.21/1.14 % (2529461)lrs+10_1_sil=8000:sp=occurrence:random_seed=3599629077:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.21/1.14 % (2529463)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1006511896:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.21/1.14 % (2529461)Also succeeded, but the first one will report.
% 0.21/1.14 % (2529463)Also succeeded, but the first one will report.
% 0.21/1.14 % (2529464)Instruction limit reached!
% 0.21/1.14 % (2529464)------------------------------
% 0.21/1.14 % (2529464)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.14 % (2529464)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.14 % (2529464)CaDiCaL version: 2.1.3
% 0.21/1.14 % (2529464)Termination reason: Instruction limit
% 0.21/1.14 % (2529464)Termination phase: Saturation
% 0.21/1.14 % (2529464)Time elapsed: 0.073 s
% 0.21/1.14 % (2529464)Peak memory usage: 90 MB
% 0.21/1.14 % (2529464)Instructions burned: 119 (million)
% 0.21/1.14 % (2529462)Refutation found. Thanks to Tanya!
% 0.21/1.14 % SZS status Unsatisfiable for theBenchmark
% 0.21/1.14 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/1.14 % (2529462)------------------------------
% 0.21/1.14 % (2529462)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.21/1.14 % (2529462)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/1.14 % (2529462)CaDiCaL version: 2.1.3
% 0.21/1.14 % (2529462)Termination reason: Refutation
% 0.21/1.14 % (2529462)Time elapsed: 0.013 s
% 0.21/1.14 % (2529462)Peak memory usage: 90 MB
% 0.21/1.14 % (2529462)Instructions burned: 31 (million)
% 0.21/1.14 % (2529462)------------------------------
% 0.21/1.14 % (2529462)------------------------------
% 0.21/1.14 % (2529453)Success in time 0.352 s
% 0.21/1.14 % Vampire exiting
%------------------------------------------------------------------------------