%------------------------------------------------------------------------------
% File : Vampire-SAT---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 SAT
% Computer : n011.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 01:20:55 PM UTC 2026
% Result : Unsatisfiable 0.20s 0.33s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 11
% Syntax : Number of formulae : 41 ( 10 unt; 4 def)
% Number of atoms : 77 ( 4 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 73 ( 37 ~; 32 |; 0 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 5 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/Axioms/SWV006-0.ax',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/Axioms/SWV006-0.ax',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/Axioms/SWV006-2.ax',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(f1636,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(f1649,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(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,[],[f1649]) ).
fof(f1653,definition,
( spl0_2
<=> 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) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f1654,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_2 ),
inference(avatar_component_clause,[],[f1653]) ).
fof(f1671,definition,
( spl0_6
<=> v_NA = c_Message_Omsg_ONonce(v_NAa) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f1673,plain,
( v_NA = c_Message_Omsg_ONonce(v_NAa)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f1671]) ).
fof(f1677,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(f1679,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,[],[f1677]) ).
fof(f1683,plain,
( spl0_7
| spl0_1 ),
inference(avatar_split_clause,[],[f1636,f1649,f1677]) ).
fof(f1690,plain,
spl0_6,
inference(avatar_split_clause,[],[f1599,f1671]) ).
fof(f1691,plain,
( ~ c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_6 ),
inference(forward_demodulation,[],[f1570,f1673]) ).
fof(f1693,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(forward_demodulation,[],[f1679,f1673]) ).
fof(f1694,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(avatar_split_clause,[],[f1693,f1677,f1671,f1653]) ).
fof(f2343,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,[],[f1526,f1650]) ).
fof(f2346,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f2343,f1481]) ).
fof(f2350,plain,
( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_1 ),
inference(resolution,[],[f2346,f1432]) ).
fof(f2351,plain,
( $false
| ~ spl0_1
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2350,f1691]) ).
fof(f2352,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f2351]) ).
fof(f2356,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_2 ),
inference(resolution,[],[f1654,f1526]) ).
fof(f2359,plain,
( c_in(v_NA,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs1)),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f2356,f1481]) ).
fof(f2363,plain,
( c_in(v_NA,c_Event_Oused(v_evs1),tc_Message_Omsg)
| ~ spl0_2 ),
inference(resolution,[],[f2359,f1432]) ).
fof(f2364,plain,
( $false
| ~ spl0_2
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f2363,f1691]) ).
fof(f2365,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(avatar_contradiction_clause,[],[f2364]) ).
cnf(s8,plain,
( spl0_1
| spl0_7 ),
inference(sat_conversion,[],[f1683]) ).
cnf(s15,plain,
spl0_6,
inference(sat_conversion,[],[f1690]) ).
cnf(s16,plain,
( spl0_2
| ~ spl0_6
| ~ spl0_7 ),
inference(sat_conversion,[],[f1694]) ).
cnf(s23,plain,
( ~ spl0_1
| ~ spl0_6 ),
inference(sat_conversion,[],[f2352]) ).
cnf(s26,plain,
( ~ spl0_2
| ~ spl0_6 ),
inference(sat_conversion,[],[f2365]) ).
cnf(s27,plain,
~ spl0_2,
inference(rat,[],[s26,s15]) ).
cnf(s28,plain,
~ spl0_1,
inference(rat,[],[s23,s15]) ).
cnf(s29,plain,
~ spl0_7,
inference(rat,[],[s16,s15,s27]) ).
cnf(s31,plain,
$false,
inference(rat,[],[s8,s29,s28]) ).
fof(f2366,plain,
$false,
inference(avatar_sat_refutation,[],[s31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWV326-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.19 % Computer : n011.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 10:36:46 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 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
% 0.20/0.33 % (3308509)Will run a generic schedule for satisfiability detection.
% 0.20/0.33 % (3308520)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1476528341:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.33 % (3308515)% WARNING: option uhcvi not known.
% 0.20/0.33 % (3308514)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=161893783_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.33 % (3308515)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2951740209:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.33 % (3308516)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1105974720:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.33 % (3308517)dis+10_1_sil=32000:sp=arity:random_seed=1404991764:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.33 % (3308518)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=1664973703:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.33 % (3308519)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2212325396:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.33 % (3308517) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3308509-3308517"...
% 0.20/0.33 % (3308517)...printing done.
% 0.20/0.33 % (3308517)Refutation found. Thanks to Tanya!
% 0.20/0.33 % SZS status Unsatisfiable for theBenchmark
% 0.20/0.33 % SZS output start Proof for theBenchmark
% See solution above
% 0.20/0.33 % (3308517)------------------------------
% 0.20/0.33 % (3308517)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.33 % (3308517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.33 % (3308517)CaDiCaL version: 2.1.3
% 0.20/0.33 % (3308517)Termination reason: Refutation
% 0.20/0.33 % (3308517)Time elapsed: 0.030 s
% 0.20/0.33 % (3308517)Peak memory usage: 14 MB
% 0.20/0.33 % (3308517)Instructions burned: 47 (million)
% 0.20/0.33 % (3308509)Success in time 0.094 s
% 0.20/0.33 % Vampire exiting
%------------------------------------------------------------------------------