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Vampire-SAT---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SWV335-1 : 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 : n019.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 01:20:57 PM UTC 2026

% Result   : Unsatisfiable 0.46s 0.37s
% Output   : Refutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   33 (  13 unt;   2 def)
%            Number of atoms       :   56 (   0 equ)
%            Maximal formula atoms :    3 (   1 avg)
%            Number of connectives :   43 (  20   ~;  21   |;   0   &)
%                                         (   2 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    4 (   3 usr;   3 prp; 0-3 aty)
%            Number of functors    :   14 (  14 usr;   6 con; 0-3 aty)
%            Number of variables   :   14 (   0 sgn  14   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f1395,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(X0,c_union(X1,X2,X3),X3)
      | c_in(X0,X2,X3)
      | c_in(X0,X1,X3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/MSC001-2.ax',cls_Set_OUnE_0) ).

fof(f1448,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
      | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_OCrypt__synth_1) ).

fof(f1487,axiom,
    ! [X0,X1] :
      ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)
      | c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-0.ax',cls_Message_ONonce__synth_0) ).

fof(f1524,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(X0,c_Message_Oparts(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
      | ~ c_in(X1,c_Message_Osynth(c_Message_Oanalz(X2)),tc_Message_Omsg)
      | c_in(X0,c_union(c_Message_Osynth(c_Message_Oanalz(X2)),c_Message_Oparts(X2),tc_Message_Omsg),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-3.ax',cls_Message_OFake__parts__insert__in__Un__dest_0) ).

fof(f1526,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/Axioms/SWV006-3.ax',cls_Message_Oanalz__into__parts__dest_0) ).

fof(f1571,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_1) ).

fof(f1572,negated_conjecture,
    ~ c_in(c_Message_Omsg_ONonce(v_NB),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(f1573,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f1574,negated_conjecture,
    ~ c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f3276,plain,
    ( ~ c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg) ),
    inference(resolution,[],[f1524,f1573]) ).

fof(f3279,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_union(c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f3276,f1571]) ).

fof(f3283,definition,
    ( spl0_6
  <=> c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).

fof(f3284,plain,
    ( ~ c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | spl0_6 ),
    inference(avatar_component_clause,[],[f3283]) ).

fof(f3285,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(avatar_component_clause,[],[f3283]) ).

fof(f3295,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_6 ),
    inference(resolution,[],[f3285,f1487]) ).

fof(f3297,plain,
    ( $false
    | ~ spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3295,f1572]) ).

fof(f3298,plain,
    ~ spl0_6,
    inference(avatar_contradiction_clause,[],[f3297]) ).

fof(f3346,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ),
    inference(resolution,[],[f3279,f1395]) ).

fof(f3347,plain,
    c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f3346,f1574]) ).

fof(f3354,plain,
    ( c_in(c_Message_Omsg_ONonce(v_NB),c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg)
    | c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    inference(resolution,[],[f3347,f1448]) ).

fof(f3362,definition,
    ( spl0_9
  <=> c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg) ),
    introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).

fof(f3364,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(avatar_component_clause,[],[f3362]) ).

fof(f3366,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | spl0_6 ),
    inference(forward_subsumption_resolution,[],[f3354,f3284]) ).

fof(f3367,plain,
    ( spl0_9
    | spl0_6 ),
    inference(avatar_split_clause,[],[f3366,f3283,f3362]) ).

fof(f3372,plain,
    ( c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_ONonce(v_NB)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf)),tc_Message_Omsg)
    | ~ spl0_9 ),
    inference(resolution,[],[f3364,f1526]) ).

fof(f3374,plain,
    ( $false
    | ~ spl0_9 ),
    inference(forward_subsumption_resolution,[],[f3372,f1574]) ).

fof(f3375,plain,
    ~ spl0_9,
    inference(avatar_contradiction_clause,[],[f3374]) ).

cnf(s6,plain,
    ~ spl0_6,
    inference(sat_conversion,[],[f3298]) ).

cnf(s8,plain,
    ( spl0_6
    | spl0_9 ),
    inference(sat_conversion,[],[f3367]) ).

cnf(s9,plain,
    ~ spl0_9,
    inference(sat_conversion,[],[f3375]) ).

cnf(s10,plain,
    spl0_6,
    inference(rat,[],[s8,s9]) ).

cnf(s12,plain,
    $false,
    inference(rat,[],[s6,s10]) ).

fof(f3376,plain,
    $false,
    inference(avatar_sat_refutation,[],[s12]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV335-1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18  % Computer : n019.cluster.edu
% 0.08/0.18  % Model    : x86_64 x86_64
% 0.08/0.18  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18  % Memory   : 8046.5625MB
% 0.08/0.18  % OS       : Linux 6.8.0-71-generic
% 0.08/0.18  % CPULimit : 300
% 0.08/0.18  % WCLimit  : 300
% 0.08/0.18  % DateTime : Mon Sep 28 10:38:48 UTC 2026
% 0.08/0.19  % CPUTime  : 
% 0.08/0.19  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.22  Running first-order model finding
% 0.08/0.22  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
% 0.46/0.37  % (3918866)Will run a generic schedule for satisfiability detection.
% 0.46/0.37  % (3918886)% WARNING: option uhcvi not known.
% 0.46/0.37  % (3918886)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1471945404:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.46/0.37  % (3918887)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1189312299:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.46/0.37  % (3918885)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1534635300_2999 on theBenchmark for (2999ds/0Mi)
% 0.46/0.37  % (3918891)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=328771373:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.46/0.37  % (3918889)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=131977954:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.46/0.37  % (3918888)dis+10_1_sil=32000:sp=arity:random_seed=3741014066:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.46/0.37  % (3918893)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2889175746:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.46/0.37  % (3918888) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3918866-3918888"...
% 0.46/0.37  % (3918888)...printing done.
% 0.46/0.37  % (3918891)Instruction limit reached! 
% 0.46/0.37  % (3918891)------------------------------
% 0.46/0.37  % (3918891)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.37  % (3918891)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.37  % (3918891)CaDiCaL version: 2.1.3
% 0.46/0.37  % (3918891)Termination reason: Instruction limit
% 0.46/0.37  % (3918891)Termination phase: Saturation
% 0.46/0.37  % (3918891)Time elapsed: 0.072 s
% 0.46/0.37  % (3918891)Peak memory usage: 15 MB
% 0.46/0.37  % (3918891)Instructions burned: 132 (million)
% 0.46/0.37  % (3918888)Refutation found. Thanks to Tanya!
% 0.46/0.37  % SZS status Unsatisfiable for theBenchmark
% 0.46/0.37  % SZS output start Proof for theBenchmark
% See solution above
% 0.46/0.37  % (3918888)------------------------------
% 0.46/0.37  % (3918888)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.46/0.37  % (3918888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.46/0.37  % (3918888)CaDiCaL version: 2.1.3
% 0.46/0.37  % (3918888)Termination reason: Refutation
% 0.46/0.37  % (3918888)Time elapsed: 0.067 s
% 0.46/0.37  % (3918888)Peak memory usage: 15 MB
% 0.46/0.37  % (3918888)Instructions burned: 101 (million)
% 0.46/0.37  % (3918866)Success in time 0.14 s
% 0.46/0.37  % Vampire exiting
%------------------------------------------------------------------------------