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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV797-1 : 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 : n006.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 01:19:32 PM UTC 2026

% Result   : Unsatisfiable 5.81s 1.62s
% Output   : Refutation 5.81s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :   10
% Syntax   : Number of formulae    :   16 (  12 unt;   0 def)
%            Number of atoms       :   30 (   3 equ)
%            Maximal formula atoms :    6 (   1 avg)
%            Number of connectives :   28 (  14   ~;  14   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   4 avg)
%            Maximal term depth    :   10 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :   28 (  28 usr;  16 con; 0-3 aty)
%            Number of variables   :   25 (  25   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f613,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4))))),c_List_Oset(X5,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(X5,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | hBOOL(c_in(X0,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X1,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X2),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X3),X4)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X5)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_A__trusts__NS2_0) ).

fof(f614,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,X0,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X0),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X0)))))))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))
      | hBOOL(c_in(c_Event_Oevent_OSays(X0,X1,c_Message_Omsg_OCrypt(X2,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(X3),c_Message_Omsg_ONonce(X3)))),c_List_Oset(X4,tc_Event_Oevent),tc_Event_Oevent))
      | hBOOL(c_in(hAPP(c_Message_Omsg_OKey,X2),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | hBOOL(c_in(X1,c_Event_Obad,tc_Message_Oagent)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_B__trusts__NS5__lemma_0) ).

fof(f654,axiom,
    ! [X2,X3,X0,X1,X4,X5] :
      ( X0 = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3)))
      | ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
      | ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_cert__A__form_1) ).

fof(f655,plain,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ~ hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X3),c_Message_Omsg_OMPair(X5,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),X0)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X4)),tc_Message_Omsg))
      | ~ hBOOL(c_in(X4,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)))
      | hBOOL(c_in(X3,c_Event_Obad,tc_Message_Oagent))
      | c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,X1),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,X2),c_Message_Omsg_OAgent(X3))) = X0 ),
    inference(reorient_equations,[],[f654]) ).

fof(f693,negated_conjecture,
    ~ hBOOL(c_in(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_0) ).

fof(f694,negated_conjecture,
    ~ hBOOL(c_in(v_A,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_1) ).

fof(f695,negated_conjecture,
    ~ hBOOL(c_in(v_B,c_Event_Obad,tc_Message_Oagent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f696,negated_conjecture,
    hBOOL(c_in(v_evs,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f697,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f698,negated_conjecture,
    hBOOL(c_in(c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs)),tc_Message_Omsg)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_5) ).

fof(f699,negated_conjecture,
    ~ hBOOL(c_in(c_Event_Oevent_OSays(v_A,v_B,c_Message_Omsg_OCrypt(v_K,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_ONonce(v_NB)))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cls_conjecture_6) ).

fof(f1664,plain,
    ! [X0] : ~ hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(X0,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(unit_resulting_resolution,[],[f614,f695,f696,f693,f698,f699]) ).

fof(f1914,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),v_X))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(unit_resulting_resolution,[],[f613,f694,f696,f697]) ).

fof(f1915,plain,
    v_X = c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A))),
    inference(unit_resulting_resolution,[],[f655,f694,f696,f697]) ).

fof(f2030,plain,
    hBOOL(c_in(c_Event_Oevent_OSays(c_Message_Oagent_OServer,v_A,c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_A),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NA),c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OCrypt(hAPP(c_Public_OshrK,v_B),c_Message_Omsg_OMPair(hAPP(c_Message_Omsg_OKey,v_K),c_Message_Omsg_OAgent(v_A)))))))),c_List_Oset(v_evs,tc_Event_Oevent),tc_Event_Oevent)),
    inference(backward_demodulation,[],[f1914,f1915]) ).

fof(f2107,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f2030,f1664]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SWV797-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.20  % Computer : n006.cluster.edu
% 0.07/0.20  % Model    : x86_64 x86_64
% 0.07/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20  % Memory   : 8046.5625MB
% 0.07/0.20  % OS       : Linux 6.8.0-71-generic
% 0.07/0.20  % CPULimit : 300
% 0.07/0.20  % WCLimit  : 300
% 0.07/0.20  % DateTime : Mon Sep 28 12:34:25 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.07/0.23  Running first-order theorem proving
% 0.07/0.23  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
% 5.04/1.43  % (3931458)Input is clausal, will run a generic CNF schedule.
% 5.04/1.43  % (3931465)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=822334851:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.04/1.43  % (3931468)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3857836258:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.04/1.43  % (3931466)lrs+10_1_sil=8000:sp=occurrence:random_seed=3651872732:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.04/1.43  % (3931463)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=1248570081:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.04/1.43  % (3931467)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2971536849:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.04/1.43  % (3931469)dis-21_1_sil=8000:lcm=predicate:random_seed=2589533653: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)
% 5.04/1.43  % (3931464)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=900462737:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.04/1.43  % (3931469)Instruction limit reached! 
% 5.04/1.43  % (3931469)------------------------------
% 5.04/1.43  % (3931469)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.43  % (3931469)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.43  % (3931469)CaDiCaL version: 2.1.3
% 5.04/1.43  % (3931469)Termination reason: Instruction limit
% 5.04/1.43  % (3931469)Termination phase: Saturation
% 5.04/1.43  % (3931469)Time elapsed: 0.069 s
% 5.04/1.43  % (3931469)Peak memory usage: 89 MB
% 5.04/1.43  % (3931469)Instructions burned: 118 (million)
% 5.04/1.43  % (3931466)Instruction limit reached! 
% 5.04/1.43  % (3931466)------------------------------
% 5.04/1.43  % (3931466)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.43  % (3931466)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.43  % (3931466)CaDiCaL version: 2.1.3
% 5.04/1.43  % (3931466)Termination reason: Instruction limit
% 5.04/1.43  % (3931466)Termination phase: Saturation
% 5.04/1.43  % (3931466)Time elapsed: 0.072 s
% 5.04/1.43  % (3931466)Peak memory usage: 89 MB
% 5.04/1.43  % (3931466)Instructions burned: 108 (million)
% 5.04/1.43  % (3931467)Instruction limit reached! 
% 5.04/1.43  % (3931467)------------------------------
% 5.04/1.43  % (3931467)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.43  % (3931467)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.43  % (3931467)CaDiCaL version: 2.1.3
% 5.04/1.43  % (3931467)Termination reason: Instruction limit
% 5.04/1.43  % (3931467)Termination phase: Saturation
% 5.04/1.43  % (3931467)Time elapsed: 0.079 s
% 5.04/1.43  % (3931467)Peak memory usage: 88 MB
% 5.04/1.43  % (3931467)Instructions burned: 115 (million)
% 5.04/1.43  % (3931468)Instruction limit reached! 
% 5.04/1.43  % (3931468)------------------------------
% 5.04/1.43  % (3931468)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.04/1.43  % (3931468)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.04/1.43  % (3931468)CaDiCaL version: 2.1.3
% 5.04/1.43  % (3931468)Termination reason: Instruction limit
% 5.04/1.43  % (3931468)Termination phase: Saturation
% 5.04/1.43  % (3931468)Time elapsed: 0.112 s
% 5.04/1.43  % (3931468)Peak memory usage: 90 MB
% 5.04/1.43  % (3931468)Instructions burned: 180 (million)
% 5.04/1.43  % (3931478)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=215250222: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)
% 5.04/1.43  % (3931479)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2908908554:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 5.04/1.43  % (3931477)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=2293098012:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.04/1.43  % (3931479)Refutation not found, incomplete strategy
% 5.04/1.43  % (3931479)------------------------------
% 5.04/1.43  % (3931479)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.62  % (3931479)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.62  % (3931479)CaDiCaL version: 2.1.3
% 5.81/1.62  % (3931479)Termination reason: Refutation not found, incomplete strategy
% 5.81/1.62  % (3931479)Time elapsed: 0.029 s
% 5.81/1.62  % (3931479)Peak memory usage: 89 MB
% 5.81/1.62  % (3931479)Instructions burned: 48 (million)
% 5.81/1.62  % (3931480)lrs+10_64_to=lpo:sil=8000:random_seed=2609162570:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 5.81/1.62  % (3931478)First to succeed.
% 5.81/1.62  % (3931478)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3931458"
% 5.81/1.62  % (3931477)Instruction limit reached! 
% 5.81/1.62  % (3931477)------------------------------
% 5.81/1.62  % (3931477)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.62  % (3931477)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.62  % (3931477)CaDiCaL version: 2.1.3
% 5.81/1.62  % (3931477)Termination reason: Instruction limit
% 5.81/1.62  % (3931477)Termination phase: Saturation
% 5.81/1.62  % (3931477)Time elapsed: 0.087 s
% 5.81/1.62  % (3931477)Peak memory usage: 89 MB
% 5.81/1.62  % (3931477)Instructions burned: 143 (million)
% 5.81/1.62  % (3931480)Instruction limit reached! 
% 5.81/1.62  % (3931480)------------------------------
% 5.81/1.62  % (3931480)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.62  % (3931480)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.62  % (3931480)CaDiCaL version: 2.1.3
% 5.81/1.62  % (3931480)Termination reason: Instruction limit
% 5.81/1.62  % (3931480)Termination phase: Saturation
% 5.81/1.62  % (3931480)Time elapsed: 0.078 s
% 5.81/1.62  % (3931480)Peak memory usage: 90 MB
% 5.81/1.62  % (3931480)Instructions burned: 127 (million)
% 5.81/1.62  % (3931485)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=865899654:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 5.81/1.62  % (3931479)------------------------------
% 5.81/1.62  % (3931479)------------------------------
% 5.81/1.62  % (3931486)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=603753270:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.81/1.62  % (3931478)Refutation found. Thanks to Tanya!
% 5.81/1.62  % SZS status Unsatisfiable for theBenchmark
% 5.81/1.62  % SZS output start Proof for theBenchmark
% See solution above
% 5.81/1.62  % (3931478)------------------------------
% 5.81/1.62  % (3931478)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.81/1.62  % (3931478)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.81/1.62  % (3931478)CaDiCaL version: 2.1.3
% 5.81/1.62  % (3931478)Termination reason: Refutation
% 5.81/1.62  % (3931478)Time elapsed: 0.077 s
% 5.81/1.62  % (3931478)Peak memory usage: 90 MB
% 5.81/1.62  % (3931478)Instructions burned: 138 (million)
% 5.81/1.62  % (3931478)------------------------------
% 5.81/1.62  % (3931478)------------------------------
% 5.81/1.62  % (3931458)Success in time 0.753 s
% 5.81/1.62  % Vampire exiting
%------------------------------------------------------------------------------