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Vampire---5.0.1.UNS-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SWV801-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n012.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 3.42s 0.89s
% Output   : Refutation 3.42s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    6
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   12 (   7 unt;   0 def)
%            Number of atoms       :   21 (   0 equ)
%            Maximal formula atoms :    4 (   1 avg)
%            Number of connectives :   19 (  10   ~;   9   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    7 (   3 avg)
%            Maximal term depth    :    4 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   1 prp; 0-3 aty)
%            Number of functors    :   19 (  19 usr;  10 con; 0-2 aty)
%            Number of variables   :    5 (   5   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(f476,axiom,
    ! [X2,X0,X1] :
      ( ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
      | ~ c_in(X0,c_Message_OsymKeys,tc_nat)
      | c_in(X0,c_Message_OkeysFor(X1),tc_nat) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Crypt__imp__keysFor_0) ).

fof(f506,axiom,
    ! [X0,X1] :
      ( ~ c_in(X0,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,X1))),tc_nat)
      | ~ c_in(X1,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
      | ~ c_in(X0,c_Message_OsymKeys,tc_nat)
      | c_in(hAPP(c_Message_Omsg_OKey,X0),c_Event_Oused(X1),tc_Message_Omsg) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_new__keys__not__used_0) ).

fof(f616,negated_conjecture,
    c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).

fof(f617,negated_conjecture,
    ~ c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).

fof(f618,negated_conjecture,
    c_in(v_KAB,c_Message_OsymKeys,tc_nat),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).

fof(f628,negated_conjecture,
    c_in(c_Message_Omsg_OCrypt(v_KAB,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_evs2)),tc_Message_Omsg),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_12) ).

fof(f698,plain,
    ( ~ c_in(v_KAB,c_Message_OsymKeys,tc_nat)
    | c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat) ),
    inference(resolution,[],[f628,f476]) ).

fof(f699,plain,
    c_in(v_KAB,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs2))),tc_nat),
    inference(forward_subsumption_resolution,[],[f698,f618]) ).

fof(f793,plain,
    ( ~ c_in(v_evs2,c_NS__Shared__Mirabelle_Ons__shared,tc_List_Olist(tc_Event_Oevent))
    | ~ c_in(v_KAB,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg) ),
    inference(resolution,[],[f699,f506]) ).

fof(f796,plain,
    ( ~ c_in(v_KAB,c_Message_OsymKeys,tc_nat)
    | c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg) ),
    inference(forward_subsumption_resolution,[],[f793,f616]) ).

fof(f797,plain,
    c_in(hAPP(c_Message_Omsg_OKey,v_KAB),c_Event_Oused(v_evs2),tc_Message_Omsg),
    inference(forward_subsumption_resolution,[],[f796,f618]) ).

fof(f798,plain,
    $false,
    inference(forward_subsumption_resolution,[],[f797,f617]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01  % Problem  : SWV801-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.03  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.00/0.10  % Computer : n012.cluster.edu
% 0.00/0.10  % Model    : x86_64 x86_64
% 0.00/0.10  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.00/0.10  % Memory   : 8046.5625MB
% 0.00/0.10  % OS       : Linux 6.8.0-71-generic
% 0.00/0.10  % CPULimit : 300
% 0.00/0.10  % WCLimit  : 300
% 0.00/0.10  % DateTime : Mon Sep 28 12:35:19 UTC 2026
% 0.00/0.11  % CPUTime  : 
% 0.00/0.11  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.12  Running first-order theorem proving
% 0.08/0.12  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.42/0.89  % (3349195)Input is clausal, will run a generic CNF schedule.
% 3.42/0.89  % (3349205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3724898013:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.42/0.89  % (3349204)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2606174884:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.42/0.89  % (3349203)lrs+10_1_sil=8000:sp=occurrence:random_seed=1774347736:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.42/0.89  % (3349206)dis-21_1_sil=8000:lcm=predicate:random_seed=565045745: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)
% 3.42/0.89  % (3349201)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=950775258:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.42/0.89  % (3349200)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=1367997091:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.42/0.89  % (3349202)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=156490801:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.42/0.89  % (3349206)Instruction limit reached! 
% 3.42/0.89  % (3349206)------------------------------
% 3.42/0.89  % (3349206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349206)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349206)Termination reason: Instruction limit
% 3.42/0.89  % (3349206)Termination phase: Saturation
% 3.42/0.89  % (3349206)Time elapsed: 0.038 s
% 3.42/0.89  % (3349206)Peak memory usage: 89 MB
% 3.42/0.89  % (3349206)Instructions burned: 119 (million)
% 3.42/0.89  % (3349203)Instruction limit reached! 
% 3.42/0.89  % (3349203)------------------------------
% 3.42/0.89  % (3349203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349203)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349203)Termination reason: Instruction limit
% 3.42/0.89  % (3349203)Termination phase: Saturation
% 3.42/0.89  % (3349203)Time elapsed: 0.039 s
% 3.42/0.89  % (3349203)Peak memory usage: 89 MB
% 3.42/0.89  % (3349203)Instructions burned: 109 (million)
% 3.42/0.89  % (3349204)Instruction limit reached! 
% 3.42/0.89  % (3349204)------------------------------
% 3.42/0.89  % (3349204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349204)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349204)Termination reason: Instruction limit
% 3.42/0.89  % (3349204)Termination phase: Saturation
% 3.42/0.89  % (3349204)Time elapsed: 0.041 s
% 3.42/0.89  % (3349204)Peak memory usage: 89 MB
% 3.42/0.89  % (3349204)Instructions burned: 114 (million)
% 3.42/0.89  % (3349205)Instruction limit reached! 
% 3.42/0.89  % (3349205)------------------------------
% 3.42/0.89  % (3349205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349205)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349205)Termination reason: Instruction limit
% 3.42/0.89  % (3349205)Termination phase: Saturation
% 3.42/0.89  % (3349205)Time elapsed: 0.064 s
% 3.42/0.89  % (3349205)Peak memory usage: 90 MB
% 3.42/0.89  % (3349205)Instructions burned: 180 (million)
% 3.42/0.89  % (3349216)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4093401526:st=4:i=219:sd=3:ss=axioms_2998 on theBenchmark for (2998ds/219Mi)
% 3.42/0.89  % (3349215)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1410954184:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2998 on theBenchmark for (2998ds/189Mi)
% 3.42/0.89  % (3349214)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=585564024:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.42/0.89  % (3349216)First to succeed.
% 3.42/0.89  % (3349214)Also succeeded, but the first one will report.
% 3.42/0.89  % (3349216)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3349195"
% 3.42/0.89  % (3349217)lrs+10_64_to=lpo:sil=8000:random_seed=2677065057:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.42/0.89  % (3349215)Instruction limit reached! 
% 3.42/0.89  % (3349215)------------------------------
% 3.42/0.89  % (3349215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349215)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349215)Termination reason: Instruction limit
% 3.42/0.89  % (3349215)Termination phase: Saturation
% 3.42/0.89  % (3349215)Time elapsed: 0.059 s
% 3.42/0.89  % (3349215)Peak memory usage: 91 MB
% 3.42/0.89  % (3349215)Instructions burned: 192 (million)
% 3.42/0.89  % (3349217)Instruction limit reached! 
% 3.42/0.89  % (3349217)------------------------------
% 3.42/0.89  % (3349217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349217)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349217)Termination reason: Instruction limit
% 3.42/0.89  % (3349217)Termination phase: Saturation
% 3.42/0.89  % (3349217)Time elapsed: 0.044 s
% 3.42/0.89  % (3349217)Peak memory usage: 90 MB
% 3.42/0.89  % (3349217)Instructions burned: 127 (million)
% 3.42/0.89  % (3349216)Refutation found. Thanks to Tanya!
% 3.42/0.89  % SZS status Unsatisfiable for theBenchmark
% 3.42/0.89  % SZS output start Proof for theBenchmark
% See solution above
% 3.42/0.89  % (3349216)------------------------------
% 3.42/0.89  % (3349216)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.42/0.89  % (3349216)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.42/0.89  % (3349216)CaDiCaL version: 2.1.3
% 3.42/0.89  % (3349216)Termination reason: Refutation
% 3.42/0.89  % (3349216)Time elapsed: 0.012 s
% 3.42/0.89  % (3349216)Peak memory usage: 89 MB
% 3.42/0.89  % (3349216)Instructions burned: 35 (million)
% 3.42/0.89  % (3349216)------------------------------
% 3.42/0.89  % (3349216)------------------------------
% 3.42/0.89  % (3349195)Success in time 0.472 s
% 3.42/0.89  % Vampire exiting
%------------------------------------------------------------------------------