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Vampire---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SET925^7 : TPTP v9.3.1. Released v5.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 : Wed Sep 30 08:23:30 AM UTC 2026

% Result   : Theorem 0.22s 0.32s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    3
% Syntax   : Number of formulae    :   17 (  11 unt;   0 typ;   1 def)
%            Number of atoms       :  217 (   6 equ;   0 cnn)
%            Maximal formula atoms :   18 (  12 avg)
%            Number of connectives :  349 (   7   ~;   0   |;   0   &; 341   @)
%                                         (   1 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   20 (   7 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   59 (  56 usr;   4 con; 0-4 aty)
%            Number of variables   :   22 (   0 sgn   0   !;   0   ?;  22   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    mu: $tType ).

thf(type_def_6,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(func_def_0,type,
    qmltpeq: mu > mu > $i > $o ).

thf(func_def_1,type,
    meq_prop: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_3,type,
    mnot: ( $i > $o ) > $i > $o ).

thf(func_def_4,type,
    mor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_5,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_6,type,
    mforall_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(func_def_7,type,
    mtrue: $i > $o ).

thf(func_def_8,type,
    mfalse: $i > $o ).

thf(func_def_9,type,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_10,type,
    mimplies: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_11,type,
    mimplied: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_12,type,
    mequiv: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_13,type,
    mxor: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_14,type,
    mdia: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(func_def_15,type,
    exists_in_world: mu > $i > $o ).

thf(func_def_16,type,
    mforall_ind: ( mu > $i > $o ) > $i > $o ).

thf(func_def_17,type,
    mexists_ind: ( mu > $i > $o ) > $i > $o ).

thf(func_def_18,type,
    mexists_prop: ( ( $i > $o ) > $i > $o ) > $i > $o ).

thf(func_def_19,type,
    mreflexive: ( $i > $i > $o ) > $o ).

thf(func_def_20,type,
    msymmetric: ( $i > $i > $o ) > $o ).

thf(func_def_21,type,
    mserial: ( $i > $i > $o ) > $o ).

thf(func_def_22,type,
    mtransitive: ( $i > $i > $o ) > $o ).

thf(func_def_23,type,
    meuclidean: ( $i > $i > $o ) > $o ).

thf(func_def_24,type,
    mpartially_functional: ( $i > $i > $o ) > $o ).

thf(func_def_25,type,
    mfunctional: ( $i > $i > $o ) > $o ).

thf(func_def_26,type,
    mweakly_dense: ( $i > $i > $o ) > $o ).

thf(func_def_27,type,
    mweakly_connected: ( $i > $i > $o ) > $o ).

thf(func_def_28,type,
    mweakly_directed: ( $i > $i > $o ) > $o ).

thf(func_def_29,type,
    mvalid: ( $i > $o ) > $o ).

thf(func_def_30,type,
    msatisfiable: ( $i > $o ) > $o ).

thf(func_def_31,type,
    mcountersatisfiable: ( $i > $o ) > $o ).

thf(func_def_32,type,
    minvalid: ( $i > $o ) > $o ).

thf(func_def_33,type,
    rel_s4: $i > $i > $o ).

thf(func_def_34,type,
    mbox_s4: ( $i > $o ) > $i > $o ).

thf(func_def_35,type,
    mdia_s4: ( $i > $o ) > $i > $o ).

thf(func_def_36,type,
    empty: mu > $i > $o ).

thf(func_def_37,type,
    in: mu > mu > $i > $o ).

thf(func_def_38,type,
    empty_set: mu ).

thf(func_def_39,type,
    singleton: mu > mu ).

thf(func_def_40,type,
    set_difference: mu > mu > mu ).

thf(func_def_41,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_42,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_43,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_44,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_47,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_48,type,
    vIMP: $o > $o > $o ).

thf(func_def_49,type,
    vAND: $o > $o > $o ).

thf(func_def_50,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_51,type,
    vOR: $o > $o > $o ).

thf(func_def_52,type,
    vNOT: $o > $o ).

thf(func_def_53,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_54,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_55,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_56,type,
    sK0: $i > mu ).

thf(f53,axiom,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X0: mu] :
            ( mbox_s4
            @ ( mforall_ind
              @ ^ [X1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l36_zfmisc_1) ).

thf(f54,conjecture,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X0: mu] :
            ( mbox_s4
            @ ( mforall_ind
              @ ^ [X1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t68_zfmisc_1) ).

thf(f55,negated_conjecture,
    ~ ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [X0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [X1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f54]) ).

thf(f92,plain,
    ~ ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [X0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [X1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f55]) ).

thf(f93,plain,
    ( ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [Y0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [Y1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f92]) ).

thf(f120,plain,
    ( mvalid
    @ ( mbox_s4
      @ ( mforall_ind
        @ ^ [X0: mu] :
            ( mbox_s4
            @ ( mforall_ind
              @ ^ [X1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ X0 @ X1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ X0 ) @ X1 ) @ empty_set ) ) ) ) ) ) ) ) ) ),
    inference(rectify,[],[f53]) ).

thf(f121,plain,
    ( ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [Y0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [Y1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(fool_elimination,[],[f120]) ).

thf(f153,plain,
    ( ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [Y0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [Y1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(flattening,[],[f93]) ).

thf(f163,plain,
    ( ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [Y0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [Y1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) ) ) ) ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f153]) ).

thf(f167,plain,
    ( ( mvalid
      @ ( mbox_s4
        @ ( mforall_ind
          @ ^ [Y0: mu] :
              ( mbox_s4
              @ ( mforall_ind
                @ ^ [Y1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) ) ) ) ) ) ) ) )
    = $true ),
    inference(cnf_transformation,[],[f121]) ).

thf(f329,definition,
    ( spl1_23
  <=> ( ( mvalid
        @ ( mbox_s4
          @ ( mforall_ind
            @ ^ [Y0: mu] :
                ( mbox_s4
                @ ( mforall_ind
                  @ ^ [Y1: mu] : ( mand @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) ) ) @ ( mbox_s4 @ ( mimplies @ ( mbox_s4 @ ( in @ Y0 @ Y1 ) ) @ ( mbox_s4 @ ( qmltpeq @ ( set_difference @ ( singleton @ Y0 ) @ Y1 ) @ empty_set ) ) ) ) ) ) ) ) ) )
      = $true ) ),
    introduced(definition,[new_symbols(definition,[spl1_23])],[avatar_definition]) ).

thf(f332,plain,
    ~ spl1_23,
    inference(avatar_split_clause,[],[f163,f329]) ).

thf(f423,plain,
    spl1_23,
    inference(avatar_split_clause,[],[f167,f329]) ).

cnf(s23,plain,
    ~ spl1_23,
    inference(sat_conversion,[],[f332]) ).

cnf(s42,plain,
    spl1_23,
    inference(sat_conversion,[],[f423]) ).

cnf(s49,plain,
    $false,
    inference(rat,[],[s23,s42]) ).

thf(f454,plain,
    $false,
    inference(avatar_sat_refutation,[],[s49]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SET925^7 : TPTP v9.3.1. Released v5.5.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.20  % Computer : n016.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 : Tue Sep 29 13:46:20 UTC 2026
% 0.09/0.20  % CPUTime  : 
% 0.09/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.24  Running higher-order theorem proving
% 0.09/0.26  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.32  % (368910)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.32  % (368920)lrs+10_1_to=lpo:sil=128000:e2e=on:si=on:random_seed=359356765:s2a=on:i=75:s2at=3:aac=none:bd=preordered:rtra=on:fe=abstraction_2999 on theBenchmark for (2999ds/75Mi)
% 0.22/0.32  % (368921)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.32  % (368921)WARNING Broken Constraint: if sine_to_age_tolerance(5) has been set then sine_to_age(off) is equal to on or sine_to_pred_levels(off) is not equal to off or sine_level_split_queue(off) is equal to on
% 0.22/0.32  % (368915)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=4228349004:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.32  % (368916)lrs+10_16_si=on:nwc=1.5:random_seed=1369810026:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.32  % (368917)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=2901682206:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.32  % (368919)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=2804462210:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.32  % (368918)dis+1002_4:1_sfv=off:to=lpo:plsq=on:fde=none:e2e=on:si=on:spb=non_intro:acc=on:uwa=off:fd=preordered:foolp=on:s2agt=32:slsqc=1:slsq=on:random_seed=3238453669:hsq=on:hsqr=16,1:s2a=on:i=634:add=on:nm=16:nicw=on:rtra=on:gtg=position:ss=included:ixr=off:c=on:inj=on:ntd=on:rawr=on_2999 on theBenchmark for (2999ds/634Mi)
% 0.22/0.32  % (368921)dis+1002_8_to=kbo:sil=128000:tgt=full:drc=off:si=on:sp=const_max:lma=off:spb=non_intro:cbe=off:uwa=interpreted_only:random_seed=680538822:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.32  % (368917)Instruction limit reached! 
% 0.22/0.32  % (368917)------------------------------
% 0.22/0.32  % (368917)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32  % (368917)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32  % (368917)CaDiCaL version: 2.1.3
% 0.22/0.32  % (368917)Termination reason: Instruction limit
% 0.22/0.32  % (368917)Termination phase: shuffling
% 0.22/0.32  % (368917)Time elapsed: 0.002 s
% 0.22/0.32  % (368917)Peak memory usage: 9 MB
% 0.22/0.32  % (368917)Instructions burned: 4 (million)
% 0.22/0.32  % (368916)Instruction limit reached! 
% 0.22/0.32  % (368916)------------------------------
% 0.22/0.32  % (368916)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32  % (368916)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32  % (368916)CaDiCaL version: 2.1.3
% 0.22/0.32  % (368916)Termination reason: Instruction limit
% 0.22/0.32  % (368916)Termination phase: Property scanning
% 0.22/0.32  % (368916)Time elapsed: 0.008 s
% 0.22/0.32  % (368916)Peak memory usage: 10 MB
% 0.22/0.32  % (368916)Instructions burned: 20 (million)
% 0.22/0.32  % (368920)Instruction limit reached! 
% 0.22/0.32  % (368920)------------------------------
% 0.22/0.32  % (368920)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32  % (368920)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32  % (368920)CaDiCaL version: 2.1.3
% 0.22/0.32  % (368920)Termination reason: Instruction limit
% 0.22/0.32  % (368920)Termination phase: Saturation
% 0.22/0.32  % (368920)Time elapsed: 0.018 s
% 0.22/0.32  % (368920)Peak memory usage: 12 MB
% 0.22/0.32  % (368920)Instructions burned: 78 (million)
% 0.22/0.32  % (368918) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-368910-368918"...
% 0.22/0.32  % (368919)Instruction limit reached! 
% 0.22/0.32  % (368919)------------------------------
% 0.22/0.32  % (368919)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32  % (368919)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32  % (368919)CaDiCaL version: 2.1.3
% 0.22/0.32  % (368919)Termination reason: Instruction limit
% 0.22/0.32  % (368919)Termination phase: Saturation
% 0.22/0.32  % (368919)Time elapsed: 0.013 s
% 0.22/0.32  % (368919)Peak memory usage: 12 MB
% 0.22/0.32  % (368919)Instructions burned: 25 (million)
% 0.22/0.32  % (368918)...printing done.
% 0.22/0.32  % (368918)Refutation found. Thanks to Tanya!
% 0.22/0.32  % SZS status Theorem for theBenchmark
% 0.22/0.32  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.32  % (368918)------------------------------
% 0.22/0.32  % (368918)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.32  % (368918)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.32  % (368918)CaDiCaL version: 2.1.3
% 0.22/0.32  % (368918)Termination reason: Refutation
% 0.22/0.32  % (368918)Time elapsed: 0.012 s
% 0.22/0.32  % (368918)Peak memory usage: 12 MB
% 0.22/0.32  % (368918)Instructions burned: 24 (million)
% 0.22/0.32  % (368910)Success in time 0.052 s
% 0.22/0.32  % Vampire exiting
%------------------------------------------------------------------------------