%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 01:20:58 PM UTC 2026
% Result : Unsatisfiable 0.09s 0.26s
% Output : Refutation 0.09s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 54 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 38 ( 14 ~; 22 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 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/sandbox2/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,X3,X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg))),tc_nat)
| ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X3)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_union(X2,X3,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oparts(X3),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Event_OkeysFor__parts__insert__dest_0) ).
fof(f3,axiom,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Public_OinvKey__K_0) ).
fof(f4,axiom,
! [X0,X1] : c_union(X0,X0,X1) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Set_OUn__absorb_0) ).
fof(f5,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f6,negated_conjecture,
c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f7,negated_conjecture,
~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f8,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f9,negated_conjecture,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f11,definition,
( spl0_1
<=> c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f12,plain,
( ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_1 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f15,definition,
( spl0_2
<=> c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f17,plain,
( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| spl0_2 ),
inference(avatar_component_clause,[],[f15]) ).
fof(f18,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f9,f15,f11]) ).
fof(f19,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f7,f11]) ).
fof(f20,plain,
v_K = c_Message_OinvKey(v_K),
inference(resolution,[],[f3,f5]) ).
fof(f21,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat)
| c_in(c_Message_Omsg_OKey(c_Message_OinvKey(v_K)),c_Message_Oparts(X0),tc_Message_Omsg) ),
inference(resolution,[],[f2,f8]) ).
fof(f22,plain,
! [X0] :
( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(X0)),tc_Message_Omsg)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(X0),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),X0,tc_Message_Omsg))),tc_nat) ),
inference(forward_demodulation,[],[f21,f20]) ).
fof(f23,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_union(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat) ),
inference(resolution,[],[f22,f6]) ).
fof(f24,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f23,f4]) ).
fof(f25,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f24,f17]) ).
fof(f26,plain,
( c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f25,f1]) ).
fof(f27,plain,
( $false
| spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f26,f12]) ).
fof(f28,plain,
( spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f27]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f19]) ).
cnf(s3,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f28]) ).
cnf(s4,plain,
spl0_2,
inference(rat,[],[s3,s2]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s2]) ).
fof(f29,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV338-2 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n004.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 10:39:07 UTC 2026
% 0.09/0.18 % CPUTime :
% 0.09/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.21 Running first-order model finding
% 0.09/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.26 % (274660)Will run a generic schedule for satisfiability detection.
% 0.09/0.26 % (274665)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=955508666_2999 on theBenchmark for (2999ds/0Mi)
% 0.09/0.26 % TRYING [1]
% 0.09/0.26 % TRYING [2]
% 0.09/0.26 % TRYING [3]
% 0.09/0.26 % (274666)% WARNING: option uhcvi not known.
% 0.09/0.26 % TRYING [4]
% 0.09/0.26 % (274667)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2486260679:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.09/0.26 % (274670)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=372909997:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.09/0.26 % (274666)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1328597452:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.09/0.26 % (274668)dis+10_1_sil=32000:sp=arity:random_seed=3225066600:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.09/0.26 % (274669)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2764464515:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.09/0.26 % (274671)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=43187367:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.09/0.26 % TRYING [5]
% 0.09/0.26 % (274670) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-274660-274670"...
% 0.09/0.26 % (274668) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-274660-274668"...
% 0.09/0.26 % (274666) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-274660-274666"...
% 0.09/0.26 % (274669) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-274660-274669"...
% 0.09/0.26 % (274671) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-274660-274671"...
% 0.09/0.26 % (274670)...printing done.
% 0.09/0.26 % (274668)...printing done.
% 0.09/0.26 % (274666)...printing done.
% 0.09/0.26 % (274667) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-274660-274667"...
% 0.09/0.26 % (274669)...printing done.
% 0.09/0.26 % (274671)...printing done.
% 0.09/0.26 % (274670)Refutation found. Thanks to Tanya!
% 0.09/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.09/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.09/0.26 % (274670)------------------------------
% 0.09/0.26 % (274670)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.09/0.26 % (274670)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.09/0.26 % (274670)CaDiCaL version: 2.1.3
% 0.09/0.26 % (274670)Termination reason: Refutation
% 0.09/0.26 % (274670)Time elapsed: 0.002 s
% 0.09/0.26 % (274670)Peak memory usage: 12 MB
% 0.09/0.26 % (274670)Instructions burned: 1 (million)
% 0.09/0.26 % (274660)Success in time 0.04 s
% 0.09/0.26 % Vampire exiting
%------------------------------------------------------------------------------