%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 01:26:18 PM UTC 2026
% Result : Unsatisfiable 2.18s 0.59s
% Output : Refutation 2.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 11
% Syntax : Number of formulae : 30 ( 11 unt; 2 def)
% Number of atoms : 53 ( 3 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 36 ( 13 ~; 21 |; 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 : 20 ( 20 usr; 9 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn 11 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f288,axiom,
! [X0] :
( ~ c_in(X0,c_Message_OsymKeys,tc_nat)
| c_Message_OinvKey(X0) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_invKey__K_0) ).
fof(f339,axiom,
! [X0,X1] : c_Lattices_Oupper__semilattice__class_Osup(X0,X0,tc_fun(X1,tc_bool)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f427,axiom,
! [X2,X3,X0,X1] :
( ~ c_in(X3,c_Message_Osynth(c_Message_Oanalz(X1)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X2,X1,tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(X1),tc_Message_Omsg)
| ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(X3,X2,tc_Message_Omsg))),tc_nat) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_keysFor__parts__insert_0) ).
fof(f469,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_usedI_0) ).
fof(f521,negated_conjecture,
c_in(v_K,c_Message_OsymKeys,tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f523,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/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f525,negated_conjecture,
~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f526,negated_conjecture,
c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f527,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(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f624,definition,
( spl0_1
<=> c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f625,plain,
( ~ c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_1 ),
inference(avatar_component_clause,[],[f624]) ).
fof(f628,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(f630,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,[],[f628]) ).
fof(f631,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f527,f628,f624]) ).
fof(f632,plain,
~ spl0_1,
inference(avatar_split_clause,[],[f525,f624]) ).
fof(f654,plain,
v_K = c_Message_OinvKey(v_K),
inference(resolution,[],[f288,f521]) ).
fof(f7542,plain,
! [X0,X1] :
( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Set_Oinsert(v_X,X1,tc_Message_Omsg))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(X0)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
| c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Lattices_Oupper__semilattice__class_Osup(X1,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(resolution,[],[f427,f523]) ).
fof(f8437,plain,
( c_in(hAPP(c_Message_Omsg_OKey,c_Message_OinvKey(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_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(resolution,[],[f7542,f526]) ).
fof(f8452,plain,
( c_in(hAPP(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_Lattices_Oupper__semilattice__class_Osup(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_fun(tc_Message_Omsg,tc_bool)))),tc_nat) ),
inference(forward_demodulation,[],[f8437,f654]) ).
fof(f8457,plain,
( c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
| c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
inference(forward_demodulation,[],[f8452,f339]) ).
fof(f8459,plain,
( c_in(hAPP(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,[],[f8457,f630]) ).
fof(f8522,plain,
( c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Event_Oused(v_evsf),tc_Message_Omsg)
| spl0_2 ),
inference(resolution,[],[f8459,f469]) ).
fof(f8534,plain,
( $false
| spl0_1
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f8522,f625]) ).
fof(f8535,plain,
( spl0_1
| spl0_2 ),
inference(avatar_contradiction_clause,[],[f8534]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f631]) ).
cnf(s2,plain,
~ spl0_1,
inference(sat_conversion,[],[f632]) ).
cnf(s144,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f8535]) ).
cnf(s146,plain,
spl0_2,
inference(rat,[],[s144,s2]) ).
cnf(s147,plain,
$false,
inference(rat,[],[s1,s146,s2]) ).
fof(f8536,plain,
$false,
inference(avatar_sat_refutation,[],[s147]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV727-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 % Computer : n014.cluster.edu
% 0.08/0.20 % Model : x86_64 x86_64
% 0.08/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.20 % Memory : 8046.5625MB
% 0.08/0.20 % OS : Linux 6.8.0-71-generic
% 0.08/0.20 % CPULimit : 300
% 0.08/0.20 % WCLimit : 300
% 0.08/0.20 % DateTime : Mon Sep 28 12:22:01 UTC 2026
% 0.08/0.20 % CPUTime :
% 0.08/0.20 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.23 Running first-order model finding
% 0.08/0.23 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
% 2.18/0.59 % (1744846)Will run a generic schedule for satisfiability detection.
% 2.18/0.59 % (1744851)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=2640536123_2999 on theBenchmark for (2999ds/0Mi)
% 2.18/0.59 % (1744852)% WARNING: option uhcvi not known.
% 2.18/0.59 % (1744852)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3183929517:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 2.18/0.59 % (1744853)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2467590556:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 2.18/0.59 % (1744854)dis+10_1_sil=32000:sp=arity:random_seed=2573126870:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 2.18/0.59 % (1744855)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2107059311:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 2.18/0.59 % (1744856)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=1068962449:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 2.18/0.59 % (1744857)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1667737320:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 2.18/0.59 % TRYING [1]
% 2.18/0.59 % TRYING [2]
% 2.18/0.59 % (1744854)Instruction limit reached!
% 2.18/0.59 % (1744854)------------------------------
% 2.18/0.59 % (1744854)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744854)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744854)Termination reason: Instruction limit
% 2.18/0.59 % (1744854)Termination phase: Saturation
% 2.18/0.59 % (1744854)Time elapsed: 0.068 s
% 2.18/0.59 % (1744854)Peak memory usage: 13 MB
% 2.18/0.59 % (1744854)Instructions burned: 104 (million)
% 2.18/0.59 % (1744855)Instruction limit reached!
% 2.18/0.59 % (1744855)------------------------------
% 2.18/0.59 % (1744855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744855)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744855)Termination reason: Instruction limit
% 2.18/0.59 % (1744855)Termination phase: Saturation
% 2.18/0.59 % (1744855)Time elapsed: 0.073 s
% 2.18/0.59 % (1744855)Peak memory usage: 13 MB
% 2.18/0.59 % (1744855)Instructions burned: 117 (million)
% 2.18/0.59 % TRYING [3]
% 2.18/0.59 % (1744856)Instruction limit reached!
% 2.18/0.59 % (1744856)------------------------------
% 2.18/0.59 % (1744856)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744856)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744856)Termination reason: Instruction limit
% 2.18/0.59 % (1744856)Termination phase: Saturation
% 2.18/0.59 % (1744856)Time elapsed: 0.083 s
% 2.18/0.59 % (1744856)Peak memory usage: 13 MB
% 2.18/0.59 % (1744856)Instructions burned: 132 (million)
% 2.18/0.59 % (1744865)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1547473213:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 2.18/0.59 % (1744866)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=2904148729:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 2.18/0.59 % (1744857)Instruction limit reached!
% 2.18/0.59 % (1744857)------------------------------
% 2.18/0.59 % (1744857)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744857)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744857)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744857)Termination reason: Instruction limit
% 2.18/0.59 % (1744857)Termination phase: Saturation
% 2.18/0.59 % (1744857)Time elapsed: 0.092 s
% 2.18/0.59 % (1744857)Peak memory usage: 13 MB
% 2.18/0.59 % (1744857)Instructions burned: 159 (million)
% 2.18/0.59 % (1744867)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=2380643132:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 2.18/0.59 % (1744870)ott-21_1_sil=16000:fs=off:random_seed=732967435:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 2.18/0.59 % (1744866)Instruction limit reached!
% 2.18/0.59 % (1744866)------------------------------
% 2.18/0.59 % (1744866)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744866)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744866)Termination reason: Instruction limit
% 2.18/0.59 % (1744866)Termination phase: Saturation
% 2.18/0.59 % (1744866)Time elapsed: 0.084 s
% 2.18/0.59 % (1744866)Peak memory usage: 13 MB
% 2.18/0.59 % (1744866)Instructions burned: 131 (million)
% 2.18/0.59 % (1744870)Instruction limit reached!
% 2.18/0.59 % (1744870)------------------------------
% 2.18/0.59 % (1744870)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744870)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744870)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744870)Termination reason: Instruction limit
% 2.18/0.59 % (1744870)Termination phase: Saturation
% 2.18/0.59 % (1744870)Time elapsed: 0.069 s
% 2.18/0.59 % (1744870)Peak memory usage: 12 MB
% 2.18/0.59 % (1744870)Instructions burned: 182 (million)
% 2.18/0.59 % TRYING [1]
% 2.18/0.59 % TRYING [2]
% 2.18/0.59 % (1744873)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=2154458918:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 2.18/0.59 % (1744874)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=3247964383:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 2.18/0.59 % TRYING [3]
% 2.18/0.59 % TRYING [4]
% 2.18/0.59 % (1744852) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1744846-1744852"...
% 2.18/0.59 % (1744852)...printing done.
% 2.18/0.59 % (1744852)Refutation found. Thanks to Tanya!
% 2.18/0.59 % SZS status Unsatisfiable for theBenchmark
% 2.18/0.59 % SZS output start Proof for theBenchmark
% See solution above
% 2.18/0.59 % (1744852)------------------------------
% 2.18/0.59 % (1744852)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 2.18/0.59 % (1744852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.18/0.59 % (1744852)CaDiCaL version: 2.1.3
% 2.18/0.59 % (1744852)Termination reason: Refutation
% 2.18/0.59 % (1744852)Time elapsed: 0.273 s
% 2.18/0.59 % (1744852)Peak memory usage: 17 MB
% 2.18/0.59 % (1744852)Instructions burned: 433 (million)
% 2.18/0.59 % (1744846)Success in time 0.343 s
% 2.18/0.59 % Vampire exiting
%------------------------------------------------------------------------------