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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV722-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% 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 01:19:20 PM UTC 2026

% Result   : Unsatisfiable 3.77s 1.24s
% Output   : Refutation 3.77s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    8
% Syntax   : Number of formulae    :   16 (   9 unt;   0 def)
%            Number of atoms       :   23 (   0 equ)
%            Maximal formula atoms :    2 (   1 avg)
%            Number of connectives :   16 (   9   ~;   7   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   4 avg)
%            Maximal term depth    :    6 (   2 avg)
%            Number of predicates  :    3 (   2 usr;   1 prp; 0-3 aty)
%            Number of functors    :   18 (  18 usr;  10 con; 0-3 aty)
%            Number of variables   :   24 (  24   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f528,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OSnd_0) ).

fof(f529,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OFst_0) ).

fof(f534,axiom,
    ! [X2,X3,X0,X1] :
      ( ~ c_in(c_Event_Oevent_OSays(X2,X3,X0),c_List_Oset(X1,tc_Event_Oevent),tc_Event_Oevent)
      | c_in(X0,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1)),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_Says__imp__parts__knows__Spy_0) ).

fof(f539,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg)
      | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_parts_OBody_0) ).

fof(f543,axiom,
    ! [X2,X0,X1] :
      ( ~ hBOOL(hAPP(X1,X0))
      | c_in(X0,X1,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_1) ).

fof(f544,axiom,
    ! [X2,X0,X1] :
      ( hBOOL(hAPP(X0,X1))
      | ~ c_in(X1,X0,X2) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_mem__def_0) ).

fof(f553,negated_conjecture,
    c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f554,negated_conjecture,
    ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f878,plain,
    ! [X2,X3,X0,X1] :
      ( c_in(X0,X1,X3)
      | ~ c_in(X0,X1,X2) ),
    inference(resolution,[],[f544,f543]) ).

fof(f963,plain,
    ! [X0] : ~ c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),X0),
    inference(resolution,[],[f878,f554]) ).

fof(f2574,plain,
    c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f534,f553]) ).

fof(f2577,plain,
    c_in(c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f2574,f539]) ).

fof(f2580,plain,
    c_in(c_Message_Omsg_OMPair(v_B,c_Message_Omsg_OMPair(v_K,v_X)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f2577,f528]) ).

fof(f2584,plain,
    c_in(c_Message_Omsg_OMPair(v_K,v_X),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f2580,f528]) ).

fof(f2587,plain,
    c_in(v_K,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg),
    inference(resolution,[],[f2584,f529]) ).

fof(f2591,plain,
    $false,
    inference(resolution,[],[f2587,f963]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SWV722-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n011.cluster.edu
% 0.09/0.20  % Model    : x86_64 x86_64
% 0.09/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.20  % Memory   : 8046.5625MB
% 0.09/0.20  % OS       : Linux 6.8.0-71-generic
% 0.09/0.20  % CPULimit : 300
% 0.09/0.20  % WCLimit  : 300
% 0.09/0.20  % DateTime : Mon Sep 28 12:21:16 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.23  Running first-order theorem proving
% 0.09/0.23  Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.77/1.24  % (3355905)Input is clausal, will run a generic CNF schedule.
% 3.77/1.24  % (3355914)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1681193288:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.77/1.24  % (3355914)Instruction limit reached! 
% 3.77/1.24  % (3355914)------------------------------
% 3.77/1.24  % (3355914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.24  % (3355914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.24  % (3355914)CaDiCaL version: 2.1.3
% 3.77/1.24  % (3355914)Termination reason: Instruction limit
% 3.77/1.24  % (3355914)Termination phase: Saturation
% 3.77/1.24  % (3355914)Time elapsed: 0.039 s
% 3.77/1.24  % (3355914)Peak memory usage: 89 MB
% 3.77/1.24  % (3355914)Instructions burned: 116 (million)
% 3.77/1.24  % (3355915)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2168054064:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.77/1.24  % (3355913)lrs+10_1_sil=8000:sp=occurrence:random_seed=2499562689:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.77/1.24  % (3355911)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2521376843:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.77/1.24  % (3355910)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=1869083887:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.77/1.24  % (3355912)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1753835028:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.77/1.24  % (3355916)dis-21_1_sil=8000:lcm=predicate:random_seed=632432335: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)
% 3.77/1.24  % (3355916)First to succeed.
% 3.77/1.24  % (3355916)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3355905"
% 3.77/1.24  % (3355913)Instruction limit reached! 
% 3.77/1.24  % (3355913)------------------------------
% 3.77/1.24  % (3355913)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.24  % (3355913)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.24  % (3355913)CaDiCaL version: 2.1.3
% 3.77/1.24  % (3355913)Termination reason: Instruction limit
% 3.77/1.24  % (3355913)Termination phase: Saturation
% 3.77/1.24  % (3355913)Time elapsed: 0.072 s
% 3.77/1.24  % (3355913)Peak memory usage: 89 MB
% 3.77/1.24  % (3355913)Instructions burned: 107 (million)
% 3.77/1.24  % (3355915)Also succeeded, but the first one will report.
% 3.77/1.24  % (3355923)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=3986784866:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.77/1.24  % (3355923)Also succeeded, but the first one will report.
% 3.77/1.24  % (3355925)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1032539073:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.77/1.24  % (3355916)Refutation found. Thanks to Tanya!
% 3.77/1.24  % SZS status Unsatisfiable for theBenchmark
% 3.77/1.24  % SZS output start Proof for theBenchmark
% See solution above
% 3.77/1.24  % (3355916)------------------------------
% 3.77/1.24  % (3355916)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.77/1.24  % (3355916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.77/1.24  % (3355916)CaDiCaL version: 2.1.3
% 3.77/1.24  % (3355916)Termination reason: Refutation
% 3.77/1.24  % (3355916)Time elapsed: 0.037 s
% 3.77/1.24  % (3355916)Peak memory usage: 89 MB
% 3.77/1.24  % (3355916)Instructions burned: 62 (million)
% 3.77/1.24  % (3355916)------------------------------
% 3.77/1.24  % (3355916)------------------------------
% 3.77/1.24  % (3355905)Success in time 0.47 s
% 3.77/1.24  % Vampire exiting
%------------------------------------------------------------------------------