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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : SYO932^10 : TPTP v9.3.1. Bugfixed v5.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n007.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 08:48:41 AM UTC 2026

% Result   : Theorem 0.22s 0.28s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   21
%            Number of leaves      :    7
% Syntax   : Number of formulae    :   54 (  46 unt;   0 typ;   0 def)
%            Number of atoms       :  290 (  55 equ;   0 cnn)
%            Maximal formula atoms :   10 (   5 avg)
%            Number of connectives :  419 (  40   ~;  35   |;   0   &; 308   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   63 (  63   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   54 (  50 usr;   6 con; 0-4 aty)
%                                         (  36  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  144 ( 130   ^;  14   !;   0   ?; 144   :)

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

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

thf(func_def_0,type,
    meq_ind: 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,
    mand: ( $i > $o ) > ( $i > $o ) > $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_34,type,
    vOR: $o > $o > $o ).

thf(func_def_35,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_36,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_37,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_38,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_39,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_40,type,
    vIMP: $o > $o > $o ).

thf(func_def_41,type,
    vAND: $o > $o > $o ).

thf(func_def_42,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_43,type,
    vEQ: 
      !>[X0: $tType] : ( X0 > X0 > $o ) ).

thf(func_def_44,type,
    vNOT: $o > $o ).

thf(func_def_45,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_46,type,
    db4: 
      !>[X0: $tType] : X0 ).

thf(func_def_50,type,
    sK1: mu ).

thf(f3,axiom,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mnot) ).

thf(f4,axiom,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mor) ).

thf(f6,axiom,
    ( mimplies
    = ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mimplies) ).

thf(f10,axiom,
    ( ( ^ [X0: mu > $i > $o,X1: $i] :
        ! [X2: mu] : ( X0 @ X2 @ X1 ) )
    = mforall_ind ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mforall_ind) ).

thf(f16,axiom,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X1 @ X3 )
          | ~ ( X0 @ X2 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mbox) ).

thf(f28,axiom,
    ( ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) )
    = mvalid ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL013^0.ax',mvalid) ).

thf(f32,conjecture,
    ( mvalid
    @ ( mimplies
      @ ( mbox @ r
        @ ( mforall_ind
          @ ^ [X0: mu] : ( p @ X0 ) ) )
      @ ( mforall_ind
        @ ^ [X0: mu] : ( mbox @ r @ ( p @ X0 ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ex2b) ).

thf(f33,negated_conjecture,
    ~ ( mvalid
      @ ( mimplies
        @ ( mbox @ r
          @ ( mforall_ind
            @ ^ [X0: mu] : ( p @ X0 ) ) )
        @ ( mforall_ind
          @ ^ [X0: mu] : ( mbox @ r @ ( p @ X0 ) ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f32]) ).

thf(f34,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X0 @ X2 )
          | ( X1 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f35,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f34]) ).

thf(f57,plain,
    ( ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) )
    = mvalid ),
    inference(rectify,[],[f28]) ).

thf(f58,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f57]) ).

thf(f61,plain,
    ( ( ^ [X0: mu > $i > $o,X1: $i] :
        ! [X2: mu] : ( X0 @ X2 @ X1 ) )
    = mforall_ind ),
    inference(rectify,[],[f10]) ).

thf(f62,plain,
    ( mforall_ind
    = ( ^ [Y0: mu > $i > $o,Y1: $i] :
          ( !! @ mu
          @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f61]) ).

thf(f72,plain,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X1 @ X3 )
          | ~ ( X0 @ X2 @ X3 ) ) ) ),
    inference(rectify,[],[f16]) ).

thf(f73,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ~ ( Y0 @ Y2 @ Y3 )
              | ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f72]) ).

thf(f78,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f79,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f78]) ).

thf(f82,plain,
    ~ ( mvalid
      @ ( mimplies
        @ ( mbox @ r
          @ ( mforall_ind
            @ ^ [X0: mu] : ( p @ X0 ) ) )
        @ ( mforall_ind
          @ ^ [X1: mu] : ( mbox @ r @ ( p @ X1 ) ) ) ) ),
    inference(rectify,[],[f33]) ).

thf(f83,plain,
    ( ( mvalid
      @ ( mimplies
        @ ( mbox @ r
          @ ( mforall_ind
            @ ^ [Y0: mu] : ( p @ Y0 ) ) )
        @ ( mforall_ind
          @ ^ [Y0: mu] : ( mbox @ r @ ( p @ Y0 ) ) ) ) )
   != $true ),
    inference(fool_elimination,[],[f82]) ).

thf(f84,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f87,plain,
    ( ( mvalid
      @ ( mimplies
        @ ( mbox @ r
          @ ( mforall_ind
            @ ^ [Y0: mu] : ( p @ Y0 ) ) )
        @ ( mforall_ind
          @ ^ [Y0: mu] : ( mbox @ r @ ( p @ Y0 ) ) ) ) )
   != $true ),
    inference(flattening,[],[f83]) ).

thf(f93,plain,
    ( mforall_ind
    = ( ^ [Y0: mu > $i > $o,Y1: $i] :
          ( !! @ mu
          @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f62]) ).

thf(f95,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ~ ( Y0 @ Y2 @ Y3 )
              | ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f73]) ).

thf(f103,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f58]) ).

thf(f105,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y1 @ Y2 )
          | ( Y0 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f35]) ).

thf(f107,plain,
    ( ( mvalid
      @ ( mimplies
        @ ( mbox @ r
          @ ( mforall_ind
            @ ^ [Y0: mu] : ( p @ Y0 ) ) )
        @ ( mforall_ind
          @ ^ [Y0: mu] : ( mbox @ r @ ( p @ Y0 ) ) ) ) )
   != $true ),
    inference(cnf_transformation,[],[f87]) ).

thf(f110,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f84]) ).

thf(f116,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f79]) ).

thf(f123,plain,
    ( mimplies
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
              ( ( Y3 @ Y4 )
              | ( Y2 @ Y4 ) )
          @ ( ^ [Y2: $i > $o,Y3: $i] :
                ~ ( Y2 @ Y3 )
            @ Y0 )
          @ Y1 ) ) ),
    inference(definition_unfolding,[],[f110,f105,f116]) ).

thf(f131,plain,
    ( $true
   != ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
            ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                ( ( Y3 @ Y4 )
                | ( Y2 @ Y4 ) )
            @ ( ^ [Y2: $i > $o,Y3: $i] :
                  ~ ( Y2 @ Y3 )
              @ Y0 )
            @ Y1 )
        @ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
              ( !! @ $i
              @ ^ [Y3: $i] :
                  ( ~ ( Y0 @ Y2 @ Y3 )
                  | ( Y1 @ Y3 ) ) )
          @ r
          @ ( ^ [Y0: mu > $i > $o,Y1: $i] :
                ( !! @ mu
                @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
            @ ^ [Y0: mu] : ( p @ Y0 ) ) )
        @ ( ^ [Y0: mu > $i > $o,Y1: $i] :
              ( !! @ mu
              @ ^ [Y2: mu] : ( Y0 @ Y2 @ Y1 ) )
          @ ^ [Y0: mu] :
              ( ^ [Y1: $i > $i > $o,Y2: $i > $o,Y3: $i] :
                  ( !! @ $i
                  @ ^ [Y4: $i] :
                      ( ~ ( Y1 @ Y3 @ Y4 )
                      | ( Y2 @ Y4 ) ) )
              @ r
              @ ( p @ Y0 ) ) ) ) ) ),
    inference(definition_unfolding,[],[f107,f103,f123,f95,f93,f93,f95]) ).

thf(f132,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( !! @ mu
            @ ^ [Y1: mu] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ~ ( r @ Y0 @ Y2 )
                    | ( p @ Y1 @ Y2 ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( r @ Y0 @ Y1 )
                  | ( !! @ mu
                    @ ^ [Y2: mu] : ( p @ Y2 @ Y1 ) ) ) ) ) )
   != $true ),
    inference(beta-eta_normalization,[],[f131]) ).

thf(f133,plain,
    ( ( ^ [Y0: $i] :
          ( ( !! @ mu
            @ ^ [Y1: mu] :
                ( !! @ $i
                @ ^ [Y2: $i] :
                    ( ~ ( r @ Y0 @ Y2 )
                    | ( p @ Y1 @ Y2 ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ~ ( r @ Y0 @ Y1 )
                  | ( !! @ mu
                    @ ^ [Y2: mu] : ( p @ Y2 @ Y1 ) ) ) ) )
      @ sK0 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f132]) ).

thf(f134,plain,
    ( ( ( !! @ mu
        @ ^ [Y0: mu] :
            ( !! @ $i
            @ ^ [Y1: $i] :
                ( ~ ( r @ sK0 @ Y1 )
                | ( p @ Y0 @ Y1 ) ) ) )
      | ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( r @ sK0 @ Y0 )
              | ( !! @ mu
                @ ^ [Y1: mu] : ( p @ Y1 @ Y0 ) ) ) ) )
    = $false ),
    inference(beta-eta_normalization,[],[f133]) ).

thf(f135,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ~ ( r @ sK0 @ Y0 )
              | ( !! @ mu
                @ ^ [Y1: mu] : ( p @ Y1 @ Y0 ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f134]) ).

thf(f136,plain,
    ( ( !! @ mu
      @ ^ [Y0: mu] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ~ ( r @ sK0 @ Y1 )
              | ( p @ Y0 @ Y1 ) ) ) )
    = $false ),
    inference(or_proxy_clausification,[],[f134]) ).

thf(f137,plain,
    ( ( ^ [Y0: mu] :
          ( !! @ $i
          @ ^ [Y1: $i] :
              ( ~ ( r @ sK0 @ Y1 )
              | ( p @ Y0 @ Y1 ) ) )
      @ sK1 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f136]) ).

thf(f138,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( r @ sK0 @ Y0 )
          | ( p @ sK1 @ Y0 ) ) )
    = $false ),
    inference(beta-eta_normalization,[],[f137]) ).

thf(f139,plain,
    ( ( ^ [Y0: $i] :
          ( ~ ( r @ sK0 @ Y0 )
          | ( p @ sK1 @ Y0 ) )
      @ sK2 )
    = $false ),
    inference(sigma_proxy_clausification,[],[f138]) ).

thf(f140,plain,
    ( ( ~ ( r @ sK0 @ sK2 )
      | ( p @ sK1 @ sK2 ) )
    = $false ),
    inference(beta-eta_normalization,[],[f139]) ).

thf(f141,plain,
    ( ( p @ sK1 @ sK2 )
    = $false ),
    inference(or_proxy_clausification,[],[f140]) ).

thf(f142,plain,
    ( ( ~ ( r @ sK0 @ sK2 ) )
    = $false ),
    inference(or_proxy_clausification,[],[f140]) ).

thf(f143,plain,
    ( $true
    = ( r @ sK0 @ sK2 ) ),
    inference(not_proxy_clausification,[],[f142]) ).

thf(f144,plain,
    ( ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( r @ sK0 @ Y0 )
          | ( !! @ mu
            @ ^ [Y1: mu] : ( p @ Y1 @ Y0 ) ) ) )
    = $true ),
    inference(not_proxy_clausification,[],[f135]) ).

thf(f145,plain,
    ! [X1: $i] :
      ( ( ^ [Y0: $i] :
            ( ~ ( r @ sK0 @ Y0 )
            | ( !! @ mu
              @ ^ [Y1: mu] : ( p @ Y1 @ Y0 ) ) )
        @ X1 )
      = $true ),
    inference(pi_proxy_clausification,[],[f144]) ).

thf(f146,plain,
    ! [X1: $i] :
      ( $true
      = ( ~ ( r @ sK0 @ X1 )
        | ( !! @ mu
          @ ^ [Y0: mu] : ( p @ Y0 @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f145]) ).

thf(f147,plain,
    ! [X1: $i] :
      ( ( ( ~ ( r @ sK0 @ X1 ) )
        = $true )
      | ( ( !! @ mu
          @ ^ [Y0: mu] : ( p @ Y0 @ X1 ) )
        = $true ) ),
    inference(or_proxy_clausification,[],[f146]) ).

thf(f148,plain,
    ! [X1: $i] :
      ( ( ( !! @ mu
          @ ^ [Y0: mu] : ( p @ Y0 @ X1 ) )
        = $true )
      | ( ( r @ sK0 @ X1 )
        = $false ) ),
    inference(not_proxy_clausification,[],[f147]) ).

thf(f149,plain,
    ! [X2: mu,X1: $i] :
      ( ( ( ^ [Y0: mu] : ( p @ Y0 @ X1 )
          @ X2 )
        = $true )
      | ( ( r @ sK0 @ X1 )
        = $false ) ),
    inference(pi_proxy_clausification,[],[f148]) ).

thf(f150,plain,
    ! [X2: mu,X1: $i] :
      ( ( $true
        = ( p @ X2 @ X1 ) )
      | ( ( r @ sK0 @ X1 )
        = $false ) ),
    inference(beta-eta_normalization,[],[f149]) ).

thf(f151,plain,
    ( ( ( r @ sK0 @ sK2 )
      = $false )
    | ( $true = $false ) ),
    inference(constrained_superposition,[],[f150,f141]) ).

thf(f153,plain,
    ( ( r @ sK0 @ sK2 )
    = $false ),
    inference(trivial_inequality_removal,[],[f151]) ).

thf(f155,plain,
    $true = $false,
    inference(forward_demodulation,[],[f153,f143]) ).

thf(f156,plain,
    $false,
    inference(trivial_inequality_removal,[],[f155]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYO932^10 : TPTP v9.3.1. Bugfixed v5.0.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.17  % Computer : n007.cluster.edu
% 0.09/0.17  % Model    : x86_64 x86_64
% 0.09/0.17  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.17  % Memory   : 8046.5625MB
% 0.09/0.17  % OS       : Linux 6.8.0-71-generic
% 0.09/0.17  % CPULimit : 300
% 0.09/0.17  % WCLimit  : 300
% 0.09/0.17  % DateTime : Tue Sep 29 17:26:26 UTC 2026
% 0.09/0.17  % CPUTime  : 
% 0.09/0.17  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.21  Running higher-order theorem proving
% 0.09/0.22  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.28  % (3681987)Detected a higher-order problem, will run a greedy HOL sequence.
% 0.22/0.28  % (3681995)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=4123399535: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)
% 0.22/0.28  % (3681998)WARNING Broken Constraint: if ho_split_queue_ratios(1,8) has been set then ho_split_queue(off) is equal to on
% 0.22/0.28  % (3681998)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
% 0.22/0.28  % (3681992)lrs+10_40_drc=off:e2e=on:si=on:uwa=one_side_interpreted:random_seed=1921099597:s2a=on:i=87:rtra=on:ntd=on_2999 on theBenchmark for (2999ds/87Mi)
% 0.22/0.28  % (3681993)lrs+10_16_si=on:nwc=1.5:random_seed=2598949150:i=18:kws=arity_squared:rtra=on:fe=abstraction:ntd=on_2999 on theBenchmark for (2999ds/18Mi)
% 0.22/0.28  % (3681996)dis+21_4_fde=none:e2e=on:si=on:uwa=off:foolp=on:random_seed=928250186:i=24:av=off:rtra=on_2999 on theBenchmark for (2999ds/24Mi)
% 0.22/0.28  % (3681994)lrs+10_1_cnfonf=off:si=on:uwa=one_side_interpreted:random_seed=4177768797:i=3:rtra=on:inj=on:ntd=on_2999 on theBenchmark for (2999ds/3Mi)
% 0.22/0.28  % (3681998)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=2521353651:hsqr=1,8:i=157:s2at=5:add=on:nm=2:rtra=on_2999 on theBenchmark for (2999ds/157Mi)
% 0.22/0.28  % (3681994)Instruction limit reached! 
% 0.22/0.28  % (3681994)------------------------------
% 0.22/0.28  % (3681994)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28  % (3681994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28  % (3681994)CaDiCaL version: 2.1.3
% 0.22/0.28  % (3681994)Termination reason: Instruction limit
% 0.22/0.28  % (3681994)Termination phase: Property scanning
% 0.22/0.28  % (3681994)Time elapsed: 0.002 s
% 0.22/0.28  % (3681994)Peak memory usage: 10 MB
% 0.22/0.28  % (3681994)Instructions burned: 4 (million)
% 0.22/0.28  % (3681992) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3681987-3681992"...
% 0.22/0.28  % (3681993) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3681987-3681993"...
% 0.22/0.28  % (3681998) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3681987-3681998"...
% 0.22/0.28  % (3681992)...printing done.
% 0.22/0.28  % (3681993)...printing done.
% 0.22/0.28  % (3681992)Refutation found. Thanks to Tanya!
% 0.22/0.28  % SZS status Theorem for theBenchmark
% 0.22/0.28  % SZS output start Proof for theBenchmark
% See solution above
% 0.22/0.28  % (3681992)------------------------------
% 0.22/0.28  % (3681992)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.22/0.28  % (3681992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.22/0.28  % (3681992)CaDiCaL version: 2.1.3
% 0.22/0.28  % (3681992)Termination reason: Refutation
% 0.22/0.28  % (3681992)Time elapsed: 0.007 s
% 0.22/0.28  % (3681992)Peak memory usage: 12 MB
% 0.22/0.28  % (3681992)Instructions burned: 12 (million)
% 0.22/0.28  % (3681987)Success in time 0.044 s
% 0.22/0.28  % Vampire exiting
%------------------------------------------------------------------------------