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Vampire-SAT---5.0.1.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : LCL592^1 : TPTP v9.3.1. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT

% Computer : n004.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 08:15:00 AM UTC 2026

% Result   : Theorem 0.24s 0.31s
% Output   : Refutation 0.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :    6
% Syntax   : Number of formulae    :   57 (  46 unt;   0 typ;   0 def)
%            Number of atoms       :  341 (  64 equ;   0 cnn)
%            Maximal formula atoms :    7 (   5 avg)
%            Number of connectives :  450 (  34   ~;  34   |;   0   &; 328   @)
%                                         (   0 <=>;  29  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   2 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   84 (  84   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   39 (  35 usr;   5 con; 0-4 aty)
%                                         (  25  !!;   0  ??;   0 @@+;   0 @@-)
%            Number of variables   :  136 ( 109   ^;  24   !;   3   ?; 136   :)

% Comments : 
%------------------------------------------------------------------------------
thf(type_def_5,type,
    sTfun: ( $tType * $tType ) > $tType ).

thf(type_def_6,type,
    individuals: $tType ).

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

thf(func_def_2,type,
    prop_b: $i > $o ).

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(func_def_22,type,
    vLAM: 
      !>[X0: $tType,X1: $tType] : ( X1 > X0 > X1 ) ).

thf(func_def_23,type,
    vNOT: $o > $o ).

thf(func_def_24,type,
    db1: 
      !>[X0: $tType] : X0 ).

thf(func_def_25,type,
    db0: 
      !>[X0: $tType] : X0 ).

thf(func_def_26,type,
    vOR: $o > $o > $o ).

thf(func_def_27,type,
    db2: 
      !>[X0: $tType] : X0 ).

thf(func_def_28,type,
    vAND: $o > $o > $o ).

thf(func_def_29,type,
    vPI: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_30,type,
    vIMP: $o > $o > $o ).

thf(func_def_31,type,
    db3: 
      !>[X0: $tType] : X0 ).

thf(func_def_32,type,
    vSIGMA: 
      !>[X0: $tType] : ( ( X0 > $o ) > $o ) ).

thf(func_def_33,type,
    sK0: $i > $i > $o ).

thf(func_def_34,type,
    sK1: $i > $o ).

thf(func_def_35,type,
    sK2: $i > $o ).

thf(f3,axiom,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mnot) ).

thf(f4,axiom,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mor) ).

thf(f6,axiom,
    ( mimpl
    = ( ^ [X0: $i > $o,X1: $i > $o] : ( mor @ ( mnot @ X0 ) @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mimpl) ).

thf(f8,axiom,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mbox) ).

thf(f12,axiom,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    file('/export/starexec/sandbox/benchmark/Axioms/LCL008^0.ax',mvalid) ).

thf(f16,conjecture,
    ! [X0: $i > $i > $o,X1: $i > $o,X2: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ X0 @ ( mimpl @ X1 @ X2 ) ) @ ( mimpl @ ( mbox @ X0 @ X1 ) @ ( mbox @ X0 @ X2 ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',thm) ).

thf(f17,negated_conjecture,
    ~ ! [X0: $i > $i > $o,X1: $i > $o,X2: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ X0 @ ( mimpl @ X1 @ X2 ) ) @ ( mimpl @ ( mbox @ X0 @ X1 ) @ ( mbox @ X0 @ X2 ) ) ) ),
    inference(negated_conjecture,[status(cth)],[f16]) ).

thf(f20,plain,
    ( mnot
    = ( ^ [X0: $i > $o,X1: $i] :
          ~ ( X0 @ X1 ) ) ),
    inference(rectify,[],[f3]) ).

thf(f21,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(fool_elimination,[],[f20]) ).

thf(f22,plain,
    ( mor
    = ( ^ [X0: $i > $o,X1: $i > $o,X2: $i] :
          ( ( X1 @ X2 )
          | ( X0 @ X2 ) ) ) ),
    inference(rectify,[],[f4]) ).

thf(f23,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(fool_elimination,[],[f22]) ).

thf(f26,plain,
    ( mimpl
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(fool_elimination,[],[f6]) ).

thf(f28,plain,
    ( mbox
    = ( ^ [X0: $i > $i > $o,X1: $i > $o,X2: $i] :
        ! [X3: $i] :
          ( ( X0 @ X2 @ X3 )
         => ( X1 @ X3 ) ) ) ),
    inference(rectify,[],[f8]) ).

thf(f29,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ( Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(fool_elimination,[],[f28]) ).

thf(f36,plain,
    ( mvalid
    = ( ^ [X0: $i > $o] :
        ! [X1: $i] : ( X0 @ X1 ) ) ),
    inference(rectify,[],[f12]) ).

thf(f37,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(fool_elimination,[],[f36]) ).

thf(f44,plain,
    ~ ! [X0: $i > $i > $o,X1: $i > $o,X2: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ X0 @ ( mimpl @ X1 @ X2 ) ) @ ( mimpl @ ( mbox @ X0 @ X1 ) @ ( mbox @ X0 @ X2 ) ) ) ),
    inference(rectify,[],[f17]) ).

thf(f45,plain,
    ~ ! [X0: $i > $i > $o,X1: $i > $o,X2: $i > $o] :
        ( ( mvalid @ ( mimpl @ ( mbox @ X0 @ ( mimpl @ X1 @ X2 ) ) @ ( mimpl @ ( mbox @ X0 @ X1 ) @ ( mbox @ X0 @ X2 ) ) ) )
        = $true ),
    inference(fool_elimination,[],[f44]) ).

thf(f46,plain,
    ? [X0: $i > $i > $o,X1: $i > $o,X2: $i > $o] :
      ( ( mvalid @ ( mimpl @ ( mbox @ X0 @ ( mimpl @ X1 @ X2 ) ) @ ( mimpl @ ( mbox @ X0 @ X1 ) @ ( mbox @ X0 @ X2 ) ) ) )
     != $true ),
    inference(ennf_transformation,[],[f45]) ).

thf(f47,plain,
    ( $true
   != ( mvalid @ ( mimpl @ ( mbox @ sK0 @ ( mimpl @ sK1 @ sK2 ) ) @ ( mimpl @ ( mbox @ sK0 @ sK1 ) @ ( mbox @ sK0 @ sK2 ) ) ) ) ),
    inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X0,sK0),skolemize(X1,sK1),skolemize(X2,sK2)],[f46]) ).

thf(f50,plain,
    ( mnot
    = ( ^ [Y0: $i > $o,Y1: $i] :
          ~ ( Y0 @ Y1 ) ) ),
    inference(cnf_transformation,[],[f21]) ).

thf(f51,plain,
    ( mor
    = ( ^ [Y0: $i > $o,Y1: $i > $o,Y2: $i] :
          ( ( Y0 @ Y2 )
          | ( Y1 @ Y2 ) ) ) ),
    inference(cnf_transformation,[],[f23]) ).

thf(f53,plain,
    ( mimpl
    = ( ^ [Y0: $i > $o,Y1: $i > $o] : ( mor @ ( mnot @ Y0 ) @ Y1 ) ) ),
    inference(cnf_transformation,[],[f26]) ).

thf(f55,plain,
    ( mbox
    = ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
          ( !! @ $i
          @ ^ [Y3: $i] :
              ( ( Y0 @ Y2 @ Y3 )
             => ( Y1 @ Y3 ) ) ) ) ),
    inference(cnf_transformation,[],[f29]) ).

thf(f59,plain,
    ( mvalid
    = ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) ) ) ),
    inference(cnf_transformation,[],[f37]) ).

thf(f63,plain,
    ( $true
   != ( mvalid @ ( mimpl @ ( mbox @ sK0 @ ( mimpl @ sK1 @ sK2 ) ) @ ( mimpl @ ( mbox @ sK0 @ sK1 ) @ ( mbox @ sK0 @ sK2 ) ) ) ) ),
    inference(cnf_transformation,[],[f47]) ).

thf(f66,plain,
    ( mimpl
    = ( ^ [Y0: $i > $o,Y1: $i > $o] :
          ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
              ( ( Y2 @ Y4 )
              | ( Y3 @ Y4 ) )
          @ ( ^ [Y2: $i > $o,Y3: $i] :
                ~ ( Y2 @ Y3 )
            @ Y0 )
          @ Y1 ) ) ),
    inference(definition_unfolding,[],[f53,f51,f50]) ).

thf(f68,plain,
    ( $true
   != ( ^ [Y0: $i > $o] :
          ( !! @ $i
          @ ^ [Y1: $i] : ( Y0 @ Y1 ) )
      @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
            ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                ( ( Y2 @ Y4 )
                | ( Y3 @ 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 ) ) )
          @ sK0
          @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
                ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                    ( ( Y2 @ Y4 )
                    | ( Y3 @ Y4 ) )
                @ ( ^ [Y2: $i > $o,Y3: $i] :
                      ~ ( Y2 @ Y3 )
                  @ Y0 )
                @ Y1 )
            @ sK1
            @ sK2 ) )
        @ ( ^ [Y0: $i > $o,Y1: $i > $o] :
              ( ^ [Y2: $i > $o,Y3: $i > $o,Y4: $i] :
                  ( ( Y2 @ Y4 )
                  | ( Y3 @ 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 ) ) )
            @ sK0
            @ sK1 )
          @ ( ^ [Y0: $i > $i > $o,Y1: $i > $o,Y2: $i] :
                ( !! @ $i
                @ ^ [Y3: $i] :
                    ( ( Y0 @ Y2 @ Y3 )
                   => ( Y1 @ Y3 ) ) )
            @ sK0
            @ sK2 ) ) ) ) ),
    inference(definition_unfolding,[],[f63,f59,f66,f55,f66,f66,f55,f55]) ).

thf(f69,plain,
    ( $true
   != ( !! @ $i
      @ ^ [Y0: $i] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( sK0 @ Y0 @ Y1 )
                 => ( ~ ( sK1 @ Y1 )
                    | ( sK2 @ Y1 ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( sK0 @ Y0 @ Y1 )
                 => ( sK1 @ Y1 ) ) )
          | ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( sK0 @ Y0 @ Y1 )
               => ( sK2 @ Y1 ) ) ) ) ) ),
    inference(beta-eta_normalization,[],[f68]) ).

thf(f70,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( sK0 @ Y0 @ Y1 )
                 => ( ~ ( sK1 @ Y1 )
                    | ( sK2 @ Y1 ) ) ) )
          | ~ ( !! @ $i
              @ ^ [Y1: $i] :
                  ( ( sK0 @ Y0 @ Y1 )
                 => ( sK1 @ Y1 ) ) )
          | ( !! @ $i
            @ ^ [Y1: $i] :
                ( ( sK0 @ Y0 @ Y1 )
               => ( sK2 @ Y1 ) ) ) )
      @ sK3 ) ),
    inference(sigma_proxy_clausification,[],[f69]) ).

thf(f71,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK0 @ sK3 @ Y0 )
             => ( ~ ( sK1 @ Y0 )
                | ( sK2 @ Y0 ) ) ) )
      | ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK0 @ sK3 @ Y0 )
             => ( sK1 @ Y0 ) ) )
      | ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( sK0 @ sK3 @ Y0 )
           => ( sK2 @ Y0 ) ) ) ) ),
    inference(beta-eta_normalization,[],[f70]) ).

thf(f72,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK0 @ sK3 @ Y0 )
             => ( sK1 @ Y0 ) ) )
      | ( !! @ $i
        @ ^ [Y0: $i] :
            ( ( sK0 @ sK3 @ Y0 )
           => ( sK2 @ Y0 ) ) ) ) ),
    inference(or_proxy_clausification,[],[f71]) ).

thf(f73,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK0 @ sK3 @ Y0 )
             => ( ~ ( sK1 @ Y0 )
                | ( sK2 @ Y0 ) ) ) ) ) ),
    inference(or_proxy_clausification,[],[f71]) ).

thf(f74,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( sK0 @ sK3 @ Y0 )
         => ( ~ ( sK1 @ Y0 )
            | ( sK2 @ Y0 ) ) ) ) ),
    inference(not_proxy_clausification,[],[f73]) ).

thf(f75,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( sK0 @ sK3 @ Y0 )
           => ( ~ ( sK1 @ Y0 )
              | ( sK2 @ Y0 ) ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f74]) ).

thf(f76,plain,
    ! [X1: $i] :
      ( $true
      = ( ( sK0 @ sK3 @ X1 )
       => ( ~ ( sK1 @ X1 )
          | ( sK2 @ X1 ) ) ) ),
    inference(beta-eta_normalization,[],[f75]) ).

thf(f77,plain,
    ! [X1: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $true
        = ( ~ ( sK1 @ X1 )
          | ( sK2 @ X1 ) ) ) ),
    inference(imp_proxy_clausification,[],[f76]) ).

thf(f78,plain,
    ! [X1: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $true
        = ( sK2 @ X1 ) )
      | ( $true
        = ( ~ ( sK1 @ X1 ) ) ) ),
    inference(or_proxy_clausification,[],[f77]) ).

thf(f79,plain,
    ! [X1: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $true
        = ( sK2 @ X1 ) )
      | ( $false
        = ( sK1 @ X1 ) ) ),
    inference(not_proxy_clausification,[],[f78]) ).

thf(f80,plain,
    ( $false
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( sK0 @ sK3 @ Y0 )
         => ( sK2 @ Y0 ) ) ) ),
    inference(or_proxy_clausification,[],[f72]) ).

thf(f81,plain,
    ( $false
    = ( ~ ( !! @ $i
          @ ^ [Y0: $i] :
              ( ( sK0 @ sK3 @ Y0 )
             => ( sK1 @ Y0 ) ) ) ) ),
    inference(or_proxy_clausification,[],[f72]) ).

thf(f82,plain,
    ( $true
    = ( !! @ $i
      @ ^ [Y0: $i] :
          ( ( sK0 @ sK3 @ Y0 )
         => ( sK1 @ Y0 ) ) ) ),
    inference(not_proxy_clausification,[],[f81]) ).

thf(f83,plain,
    ! [X1: $i] :
      ( $true
      = ( ^ [Y0: $i] :
            ( ( sK0 @ sK3 @ Y0 )
           => ( sK1 @ Y0 ) )
        @ X1 ) ),
    inference(pi_proxy_clausification,[],[f82]) ).

thf(f84,plain,
    ! [X1: $i] :
      ( $true
      = ( ( sK0 @ sK3 @ X1 )
       => ( sK1 @ X1 ) ) ),
    inference(beta-eta_normalization,[],[f83]) ).

thf(f85,plain,
    ! [X1: $i] :
      ( ( $false
        = ( sK0 @ sK3 @ X1 ) )
      | ( $true
        = ( sK1 @ X1 ) ) ),
    inference(imp_proxy_clausification,[],[f84]) ).

thf(f86,plain,
    ( $false
    = ( ^ [Y0: $i] :
          ( ( sK0 @ sK3 @ Y0 )
         => ( sK2 @ Y0 ) )
      @ sK4 ) ),
    inference(sigma_proxy_clausification,[],[f80]) ).

thf(f87,plain,
    ( $false
    = ( ( sK0 @ sK3 @ sK4 )
     => ( sK2 @ sK4 ) ) ),
    inference(beta-eta_normalization,[],[f86]) ).

thf(f88,plain,
    ( $false
    = ( sK2 @ sK4 ) ),
    inference(imp_proxy_clausification,[],[f87]) ).

thf(f89,plain,
    ( $true
    = ( sK0 @ sK3 @ sK4 ) ),
    inference(imp_proxy_clausification,[],[f87]) ).

thf(f97,plain,
    ( ( $false = $true )
    | ( $true
      = ( sK1 @ sK4 ) ) ),
    inference(constrained_superposition,[],[f89,f85]) ).

thf(f98,plain,
    ( $true
    = ( sK1 @ sK4 ) ),
    inference(trivial_inequality_removal,[],[f97]) ).

thf(f131,plain,
    ( ( $false = $true )
    | ( $true
      = ( sK2 @ sK4 ) )
    | ( $false
      = ( sK1 @ sK4 ) ) ),
    inference(constrained_superposition,[],[f89,f79]) ).

thf(f132,plain,
    ( ( $true
      = ( sK2 @ sK4 ) )
    | ( $false
      = ( sK1 @ sK4 ) ) ),
    inference(trivial_inequality_removal,[],[f131]) ).

thf(f134,plain,
    ( ( $false = $true )
    | ( $false
      = ( sK1 @ sK4 ) ) ),
    inference(forward_demodulation,[],[f132,f88]) ).

thf(f135,plain,
    ( $false
    = ( sK1 @ sK4 ) ),
    inference(trivial_inequality_removal,[],[f134]) ).

thf(f145,plain,
    $false = $true,
    inference(constrained_superposition,[],[f98,f135]) ).

thf(f146,plain,
    $false,
    inference(trivial_inequality_removal,[],[f145]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL592^1 : TPTP v9.3.1. Released v3.6.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22  % Computer : n004.cluster.edu
% 0.09/0.22  % Model    : x86_64 x86_64
% 0.09/0.22  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.22  % Memory   : 8046.5625MB
% 0.09/0.22  % OS       : Linux 6.8.0-71-generic
% 0.09/0.22  % CPULimit : 300
% 0.09/0.23  % WCLimit  : 300
% 0.09/0.23  % DateTime : Tue Sep 29 09:06:37 UTC 2026
% 0.09/0.23  % CPUTime  : 
% 0.09/0.23  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.24/0.28  Running first-order model finding
% 0.24/0.28  Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.24/0.31  % (1029607)Will run a generic schedule for satisfiability detection.
% 0.24/0.31  % (1029614)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2549750822:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.24/0.31  % (1029614) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-1029607-1029614"...
% 0.24/0.31  % (1029613)% WARNING: option uhcvi not known.
% 0.24/0.31  % (1029614)...printing done.
% 0.24/0.31  % (1029614)Refutation found. Thanks to Tanya!
% 0.24/0.31  % SZS status Theorem for theBenchmark
% 0.24/0.31  % SZS output start Proof for theBenchmark
% See solution above
% 0.24/0.32  % (1029614)------------------------------
% 0.24/0.32  % (1029614)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.24/0.32  % (1029614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.24/0.32  % (1029614)CaDiCaL version: 2.1.3
% 0.24/0.32  % (1029614)Termination reason: Refutation
% 0.24/0.32  % (1029614)Time elapsed: 0.006 s
% 0.24/0.32  % (1029614)Peak memory usage: 12 MB
% 0.24/0.32  % (1029614)Instructions burned: 10 (million)
% 0.24/0.32  % (1029607)Success in time 0.028 s
% 0.24/0.32  % Vampire exiting
%------------------------------------------------------------------------------