%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV326-2 : 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 : n017.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 0.20s 1.21s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 36 ( 11 unt; 3 def)
% Number of atoms : 61 ( 8 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 48 ( 23 ~; 22 |; 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 : 18 ( 18 usr; 10 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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(f2,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(f3,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(f4,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(f5,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)
| v_C = v_Ba ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_21) ).
fof(f6,negated_conjecture,
v_A = v_Aa,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f7,negated_conjecture,
( v_Ba != v_C
| 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_32) ).
fof(f8,plain,
( v_C != v_Ba
| 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(reorient_equations,[],[f7]) ).
fof(f9,negated_conjecture,
v_NA = c_Message_Omsg_ONonce(v_NAa),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f10,plain,
c_Message_Omsg_ONonce(v_NAa) = v_NA,
inference(reorient_equations,[],[f9]) ).
fof(f11,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)
| v_C = v_Ba ),
inference(definition_unfolding,[],[f5,f6,f6]) ).
fof(f13,definition,
( spl0_1
<=> 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_1])],[avatar_definition]) ).
fof(f14,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_1 ),
inference(avatar_component_clause,[],[f13]) ).
fof(f16,definition,
( spl0_2
<=> v_C = v_Ba ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f18,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f8,f16,f13]) ).
fof(f21,definition,
( spl0_3
<=> 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_3])],[avatar_definition]) ).
fof(f22,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_3 ),
inference(avatar_component_clause,[],[f21]) ).
fof(f23,plain,
( spl0_2
| spl0_3 ),
inference(avatar_split_clause,[],[f11,f21,f16]) ).
fof(f28,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_3 ),
inference(resolution,[],[f3,f22]) ).
fof(f30,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f28,f2]) ).
fof(f33,plain,
( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_3 ),
inference(resolution,[],[f30,f1]) ).
fof(f35,plain,
( c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_3 ),
inference(superposition,[],[f33,f10]) ).
fof(f36,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f35,f4]) ).
fof(f37,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f36]) ).
fof(f38,plain,
( c_in(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_1 ),
inference(resolution,[],[f14,f3]) ).
fof(f40,plain,
( c_in(c_Message_Omsg_ONonce(v_NAa),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f38,f2]) ).
fof(f42,plain,
( c_in(c_Message_Omsg_ONonce(v_NAa),c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f40,f1]) ).
fof(f43,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f42,f4]) ).
fof(f44,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f43]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
( spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f23]) ).
cnf(s3,plain,
~ spl0_3,
inference(sat_conversion,[],[f37]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f44]) ).
cnf(s5,plain,
spl0_2,
inference(rat,[],[s2,s3]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
fof(f45,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV326-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 % Computer : n017.cluster.edu
% 0.07/0.23 % Model : x86_64 x86_64
% 0.07/0.23 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.23 % Memory : 8046.5625MB
% 0.07/0.23 % OS : Linux 6.8.0-71-generic
% 0.07/0.23 % CPULimit : 300
% 0.07/0.23 % WCLimit : 300
% 0.07/0.23 % DateTime : Mon Sep 28 10:31:52 UTC 2026
% 0.07/0.23 % CPUTime :
% 0.07/0.23 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.20/0.26 Running first-order theorem proving
% 0.20/0.26 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
% 0.20/1.21 % (3462642)Input is clausal, will run a generic CNF schedule.
% 0.20/1.21 % (3462651)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3011527411:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 0.20/1.21 % (3462651)First to succeed.
% 0.20/1.21 % (3462651)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3462642"
% 0.20/1.21 % (3462647)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=266079530:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 0.20/1.21 % (3462653)dis-21_1_sil=8000:lcm=predicate:random_seed=993135879: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)
% 0.20/1.21 % (3462649)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3505319878:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 0.20/1.21 % (3462650)lrs+10_1_sil=8000:sp=occurrence:random_seed=3066202124:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 0.20/1.21 % (3462648)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1033499552:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 0.20/1.21 % (3462653)Refutation not found, incomplete strategy
% 0.20/1.21 % (3462653)------------------------------
% 0.20/1.21 % (3462653)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.21 % (3462653)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.21 % (3462653)CaDiCaL version: 2.1.3
% 0.20/1.21 % (3462653)Termination reason: Refutation not found, incomplete strategy
% 0.20/1.21 % (3462653)Time elapsed: 0.002 s
% 0.20/1.21 % (3462653)Peak memory usage: 88 MB
% 0.20/1.21 % (3462653)Instructions burned: 1 (million)
% 0.20/1.21 % (3462650)Also succeeded, but the first one will report.
% 0.20/1.21 % (3462652)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3029635509:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 0.20/1.21 % (3462652)Also succeeded, but the first one will report.
% 0.20/1.21 % (3462651)Refutation found. Thanks to Tanya!
% 0.20/1.21 % SZS status Unsatisfiable for theBenchmark
% 0.20/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/1.21 % (3462651)------------------------------
% 0.20/1.21 % (3462651)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.20/1.21 % (3462651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/1.21 % (3462651)CaDiCaL version: 2.1.3
% 0.20/1.21 % (3462651)Termination reason: Refutation
% 0.20/1.21 % (3462651)Time elapsed: 0.002 s
% 0.20/1.21 % (3462651)Peak memory usage: 89 MB
% 0.20/1.21 % (3462651)Instructions burned: 3 (million)
% 0.20/1.21 % (3462651)------------------------------
% 0.20/1.21 % (3462651)------------------------------
% 0.20/1.21 % (3462642)Success in time 0.305 s
% 0.20/1.21 % Vampire exiting
%------------------------------------------------------------------------------