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DT2H2X---1.9.5.THM-Ref.s

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%------------------------------------------------------------------------------
% File     : DT2H2X---1.9.5
% Problem  : CSR141^1 : TPTP v9.2.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Wed Feb 25 08:43:08 AM UTC 2026

% Result   : Theorem 1.70s 1.45s
% Output   : Refutation 1.70s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   16
%            Number of leaves      :    9
% Syntax   : Number of formulae    :   62 (  16 unt;   0 typ;   2 def)
%            Number of atoms       :  498 ( 109 equ;   0 cnn)
%            Maximal formula atoms :    7 (   8 avg)
%            Number of connectives :  525 ( 110   ~;  78   |;   6   &; 323   @)
%                                         (   2 <=>;   6  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   11 (   5 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   9 con; 0-3 aty)
%            Number of variables   :   61 (   0   ^;  61   !;   0   ?;  61   :)

% Comments : 
%------------------------------------------------------------------------------
thf(func_def_0,type,
    num: $tType ).

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

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

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

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

thf(func_def_9,type,
    lWhenFn_THFTYPE_IiiI: $i > $i ).

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

thf(func_def_17,type,
    ph1: 
      !>[X0: $tType] : X0 ).

thf(f88,plain,
    $false,
    inference(avatar_sat_refutation,[status(thm)],[f60,f70,f87]) ).

thf(f87,plain,
    ~ spl0_1,
    inference(avatar_contradiction_clause,[status(thm)],[f86]) ).

thf(f86,plain,
    ( $false
    | ~ spl0_1 ),
    inference(subsumption_resolution,[status(thm)],[f85,f31]) ).

thf(f31,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f19]) ).

thf(f19,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[status(thm)],[f18]) ).

thf(f18,plain,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    inference(rectify,[status(thm)],[f2]) ).

thf(f2,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_001) ).

thf(f85,plain,
    ( ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
     != $true )
    | ~ spl0_1 ),
    inference(subsumption_resolution,[status(thm)],[f84,f34]) ).

thf(f34,plain,
    ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f15]) ).

thf(f15,plain,
    ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[status(thm)],[f14]) ).

thf(f14,plain,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    inference(rectify,[status(thm)],[f3]) ).

thf(f3,axiom,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_002) ).

thf(f84,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
     != $true )
    | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
     != $true )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[status(thm)],[f83]) ).

thf(f83,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
     != $true )
    | ( $true != $true )
    | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
     != $true )
    | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
     != ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f82,f30]) ).

thf(f30,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i )
    = $true ),
    inference(cnf_transformation,[status(thm)],[f21]) ).

thf(f21,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i )
    = $true ),
    inference(fool_elimination,[status(thm)],[f20]) ).

thf(f20,plain,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    inference(rectify,[status(thm)],[f1]) ).

thf(f1,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax) ).

thf(f82,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( agent_THFTYPE_IiioI @ X0 @ lReiner_THFTYPE_i ) )
        | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
         != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
        | ( $true
         != ( agent_THFTYPE_IiioI @ X0 @ lMariaPaola_THFTYPE_i ) )
        | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[status(thm)],[f77]) ).

thf(f77,plain,
    ( ! [X0: $i] :
        ( ( $true
         != ( agent_THFTYPE_IiioI @ X0 @ lReiner_THFTYPE_i ) )
        | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
         != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
        | ( $true
         != ( agent_THFTYPE_IiioI @ X0 @ lMariaPaola_THFTYPE_i ) )
        | ( $true = $false )
        | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
         != $true ) )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f40,f74]) ).

thf(f74,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( connected_THFTYPE_IiioI @ X0 @ X1 )
          = $false )
        | ( ( agent_THFTYPE_IiioI @ X2 @ X0 )
         != $true )
        | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
         != ( lWhenFn_THFTYPE_IiiI @ X2 ) )
        | ( ( agent_THFTYPE_IiioI @ X2 @ X1 )
         != $true )
        | ( ( instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i )
         != $true ) )
    | ~ spl0_1 ),
    inference(trivial_inequality_removal,[status(thm)],[f73]) ).

thf(f73,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( agent_THFTYPE_IiioI @ X2 @ X1 )
         != $true )
        | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
         != ( lWhenFn_THFTYPE_IiiI @ X2 ) )
        | ( ( agent_THFTYPE_IiioI @ X2 @ X0 )
         != $true )
        | ( $true != $true )
        | ( ( instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i )
         != $true )
        | ( ( connected_THFTYPE_IiioI @ X0 @ X1 )
          = $false ) )
    | ~ spl0_1 ),
    inference(superposition,[status(thm)],[f37,f55]) ).

thf(f55,plain,
    ( ! [X2: $i,X0: $i,X1: $i] :
        ( ( $true
          = ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
        | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
         != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
        | ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
         != $true )
        | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
         != $true )
        | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
         != $true ) )
    | ~ spl0_1 ),
    inference(avatar_component_clause,[status(thm)],[f54]) ).

thf(f54,definition,
    ( spl0_1
  <=> ! [X2: $i,X0: $i,X1: $i] :
        ( ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
         != $true )
        | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
         != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
        | ( $true
          = ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
        | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
         != $true )
        | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
         != $true ) ) ),
    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition]) ).

thf(f37,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i ) )
      | ( ( connected_THFTYPE_IiioI @ X0 @ X1 )
        = $false ) ),
    inference(not_proxy_clausification,[status(thm)],[f36]) ).

thf(f36,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
       != ( orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i ) )
      | ( $true
        = ( ~ ( connected_THFTYPE_IiioI @ X0 @ X1 ) ) ) ),
    inference(cnf_transformation,[status(thm)],[f29]) ).

thf(f29,plain,
    ! [X0: $i,X1: $i] :
      ( ( $true
        = ( ~ ( connected_THFTYPE_IiioI @ X0 @ X1 ) ) )
      | ( $true
       != ( orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i ) ) ),
    inference(rectify,[status(thm)],[f27]) ).

thf(f27,plain,
    ! [X1: $i,X0: $i] :
      ( ( $true
        = ( ~ ( connected_THFTYPE_IiioI @ X1 @ X0 ) ) )
      | ( $true
       != ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i ) ) ),
    inference(ennf_transformation,[status(thm)],[f13]) ).

thf(f13,plain,
    ! [X1: $i,X0: $i] :
      ( ( $true
        = ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i ) )
     => ( $true
        = ( ~ ( connected_THFTYPE_IiioI @ X1 @ X0 ) ) ) ),
    inference(fool_elimination,[status(thm)],[f12]) ).

thf(f12,plain,
    ! [X0: $i,X1: $i] :
      ( ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ X1 @ X0 ) ),
    inference(rectify,[status(thm)],[f6]) ).

thf(f6,axiom,
    ! [X4: $i,X3: $i] :
      ( ( orientation_THFTYPE_IiiioI @ X3 @ X4 @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ X3 @ X4 ) ),
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_005) ).

thf(f40,plain,
    ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
    = $true ),
    inference(not_proxy_clausification,[status(thm)],[f39]) ).

thf(f39,plain,
    ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
   != $true ),
    inference(trivial_inequality_removal,[status(thm)],[f38]) ).

thf(f38,plain,
    ( ( $true != $true )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
     != $true ) ),
    inference(constrained_superposition,[status(thm)],[f33,f35]) ).

thf(f35,plain,
    ( $true
    = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
    inference(cnf_transformation,[status(thm)],[f11]) ).

thf(f11,plain,
    ( $true
    = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) ),
    inference(fool_elimination,[status(thm)],[f10]) ).

thf(f10,plain,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    inference(rectify,[status(thm)],[f4]) ).

thf(f4,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_003) ).

thf(f33,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
   != $true ),
    inference(cnf_transformation,[status(thm)],[f24]) ).

thf(f24,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
   != $true ),
    inference(flattening,[status(thm)],[f23]) ).

thf(f23,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
   != $true ),
    inference(fool_elimination,[status(thm)],[f22]) ).

thf(f22,plain,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    inference(rectify,[status(thm)],[f8]) ).

thf(f8,negated_conjecture,
    ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    inference(negated_conjecture,[status(cth)],[f7]) ).

thf(f7,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
    @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',con) ).

thf(f70,plain,
    ~ spl0_2,
    inference(avatar_contradiction_clause,[status(thm)],[f69]) ).

thf(f69,plain,
    ( $false
    | ~ spl0_2 ),
    inference(subsumption_resolution,[status(thm)],[f64,f35]) ).

thf(f64,plain,
    ( ( $true
     != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) )
    | ~ spl0_2 ),
    inference(boolean_simplification,[status(thm)],[f63]) ).

thf(f63,plain,
    ( ( $true
     != ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ~ $false ) )
    | ~ spl0_2 ),
    inference(superposition,[status(thm)],[f33,f59]) ).

thf(f59,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $false )
    | ~ spl0_2 ),
    inference(avatar_component_clause,[status(thm)],[f57]) ).

thf(f57,definition,
    ( spl0_2
  <=> ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $false ) ),
    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition]) ).

thf(f60,plain,
    ( spl0_1
    | spl0_2 ),
    inference(avatar_split_clause,[status(thm)],[f51,f57,f54]) ).

thf(f51,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
       != $true )
      | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
       != $true )
      | ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
       != $true )
      | ( $true
        = ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
      | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
       != ( lWhenFn_THFTYPE_IiiI @ X0 ) ) ),
    inference(not_proxy_clausification,[status(thm)],[f48]) ).

thf(f48,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $true )
      | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
       != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
       != $true )
      | ( $true
        = ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
      | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
       != $true )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
       != $true ) ),
    inference(binary_proxy_clausification,[status(thm)],[f47]) ).

thf(f47,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
       != $true )
      | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
       != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
       != $true )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
       != ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
      | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
       != $true ) ),
    inference(trivial_inequality_removal,[status(thm)],[f46]) ).

thf(f46,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true != $true )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
       != $true )
      | ( ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
       != ( lWhenFn_THFTYPE_IiiI @ X0 ) )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
       != $true )
      | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
       != $true )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
       != ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) ) ),
    inference(constrained_superposition,[status(thm)],[f33,f32]) ).

thf(f32,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X0 ) @ ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
       != $true )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
       != $true )
      | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
       != $true ) ),
    inference(cnf_transformation,[status(thm)],[f28]) ).

thf(f28,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
       != $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X0 ) @ ( orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
       != $true )
      | ( ( agent_THFTYPE_IiioI @ X0 @ X2 )
       != $true ) ),
    inference(rectify,[status(thm)],[f26]) ).

thf(f26,plain,
    ! [X2: $i,X1: $i,X0: $i] :
      ( ( ( agent_THFTYPE_IiioI @ X2 @ X1 )
       != $true )
      | ( $true
        = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X2 ) @ ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i ) ) )
      | ( ( instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i )
       != $true )
      | ( ( agent_THFTYPE_IiioI @ X2 @ X0 )
       != $true ) ),
    inference(flattening,[status(thm)],[f25]) ).

thf(f25,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( $true
        = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X2 ) @ ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i ) ) )
      | ( ( agent_THFTYPE_IiioI @ X2 @ X1 )
       != $true )
      | ( ( instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i )
       != $true )
      | ( ( agent_THFTYPE_IiioI @ X2 @ X0 )
       != $true ) ),
    inference(ennf_transformation,[status(thm)],[f17]) ).

thf(f17,plain,
    ! [X2: $i,X0: $i,X1: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ X2 @ X1 )
          = $true )
        & ( ( instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i )
          = $true )
        & ( ( agent_THFTYPE_IiioI @ X2 @ X0 )
          = $true ) )
     => ( $true
        = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X2 ) @ ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i ) ) ) ),
    inference(fool_elimination,[status(thm)],[f16]) ).

thf(f16,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ( ( agent_THFTYPE_IiioI @ X2 @ X0 )
        & ( instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ X2 @ X1 ) )
     => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X2 ) @ ( orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i ) ) ),
    inference(rectify,[status(thm)],[f5]) ).

thf(f5,axiom,
    ! [X1: $i,X2: $i,X0: $i] :
      ( ( ( agent_THFTYPE_IiioI @ X0 @ X1 )
        & ( instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ X0 @ X2 ) )
     => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ X0 ) @ ( orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_004) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : CSR141^1 : TPTP v9.2.1. Released v4.1.0.
% 0.11/0.13  % Command  : /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.18/0.34  % Computer : n026.cluster.edu
% 0.18/0.34  % Model    : x86_64 x86_64
% 0.18/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.34  % Memory   : 8042.1875MB
% 0.18/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.18/0.34  % CPULimit : 300
% 0.18/0.34  % WCLimit  : 300
% 0.18/0.34  % DateTime : Tue Feb 24 05:50:10 EST 2026
% 0.18/0.34  % CPUTime  : 
% 0.18/0.34  Running /export/starexec/sandbox/solver/bin/run_DT2H2X /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 0.20/0.45  ---- Original DTF file ---
% 0.20/0.45  thf(spec,logic,$$dhol).
% 0.20/0.45  %------------------------------------------------------------------------------
% 0.20/0.45  % File     : CSR141^1 : TPTP v9.2.1. Released v4.1.0.
% 0.20/0.45  % Domain   : Commonsense Reasoning
% 0.20/0.45  % Problem  : Reiner and MariaPaola are not connected at the CADE meeting
% 0.20/0.45  % Version  : Especial.
% 0.20/0.45  % English  : CADE_BM is a Meeting. One agent of this meeting is MariaPaola and
% 0.20/0.45  %            one is Reiner. It holds that both agents are not connected during
% 0.20/0.45  %            the meeting.
% 0.20/0.45  
% 0.20/0.45  % Refs     : [Ben10] Benzmueller (2010), Email to Geoff Sutcliffe
% 0.20/0.45  % Source   : [Ben10]
% 0.20/0.45  % Names    : re_1.tq_SUMO_handselected [Ben10]
% 0.20/0.45  
% 0.20/0.45  % Status   : Theorem
% 0.20/0.45  % Rating   : 0.08 v9.1.0, 0.12 v9.0.0, 0.08 v8.2.0, 0.09 v8.1.0, 0.08 v7.4.0, 0.11 v7.3.0, 0.10 v7.2.0, 0.12 v7.1.0, 0.14 v7.0.0, 0.12 v6.4.0, 0.14 v6.3.0, 0.17 v6.2.0, 0.00 v6.1.0, 0.50 v6.0.0, 0.00 v5.3.0, 0.25 v5.2.0, 0.50 v4.1.0
% 0.20/0.45  % Syntax   : Number of formulae    :   19 (   3 unt;  12 typ;   0 def)
% 0.20/0.45  %            Number of atoms       :   16 (   0 equ;   2 cnn)
% 0.20/0.45  %            Maximal formula atoms :    5 (   2 avg)
% 0.20/0.45  %            Number of connectives :   39 (   2   ~;   0   |;   2   &;  33   @)
% 0.20/0.45  %                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
% 0.20/0.45  %            Maximal formula depth :    9 (   5 avg)
% 0.20/0.45  %            Number of types       :    3 (   1 usr)
% 0.20/0.45  %            Number of type conns  :   12 (  12   >;   0   *;   0   +;   0  <<)
% 0.20/0.45  %            Number of symbols     :   13 (  11 usr;   7 con; 0-3 aty)
% 0.20/0.45  %            Number of variables   :    5 (   0   ^;   5   !;   0   ?;   5   :)
% 0.20/0.45  % SPC      : TH0_THM_NEQ_NAR
% 0.20/0.45  
% 0.20/0.45  % Comments : This is a simple test problem for reasoning in/about SUMO.
% 0.20/0.45  %            Initally the problem has been hand generated in KIF syntax in
% 0.20/0.45  %            SigmaKEE and then automatically translated by Benzmueller's
% 0.20/0.45  %            KIF2TH0 translator into THF syntax.
% 0.20/0.45  %          : The translation has been applied in three modes: handselected, 
% 0.20/0.45  %            SInE, and local. The local mode only translates the local 
% 0.20/0.45  %            assumptions and the query. The SInE mode additionally translates 
% 0.20/0.45  %            the SInE extract of the loaded knowledge base (usually SUMO). The 
% 0.20/0.45  %            handselected mode contains a hand-selected relevant axioms.
% 0.20/0.45  %          : The examples are selected to illustrate the benefits of
% 0.20/0.45  %            higher-order reasoning in ontology reasoning.
% 0.20/0.45  %------------------------------------------------------------------------------
% 0.20/0.45  %----The extracted signature
% 0.20/0.45  thf(numbers,type,
% 0.20/0.45      num: $tType ).
% 0.20/0.45  
% 0.20/0.45  thf(agent_THFTYPE_IiioI,type,
% 0.20/0.45      agent_THFTYPE_IiioI: $i > $i > $o ).
% 0.20/0.45  
% 0.20/0.45  thf(connected_THFTYPE_IiioI,type,
% 0.20/0.45      connected_THFTYPE_IiioI: $i > $i > $o ).
% 0.20/0.45  
% 0.20/0.45  thf(holdsDuring_THFTYPE_IiooI,type,
% 0.20/0.45      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 0.20/0.45  
% 0.20/0.45  thf(instance_THFTYPE_IiioI,type,
% 0.20/0.45      instance_THFTYPE_IiioI: $i > $i > $o ).
% 0.20/0.45  
% 0.20/0.45  thf(lCADE_BM_THFTYPE_i,type,
% 0.20/0.45      lCADE_BM_THFTYPE_i: $i ).
% 0.20/0.45  
% 0.20/0.45  thf(lMariaPaola_THFTYPE_i,type,
% 0.20/0.45      lMariaPaola_THFTYPE_i: $i ).
% 0.20/0.45  
% 0.20/0.45  thf(lMeeting_THFTYPE_i,type,
% 0.20/0.45      lMeeting_THFTYPE_i: $i ).
% 0.20/0.45  
% 0.20/0.45  thf(lReiner_THFTYPE_i,type,
% 0.20/0.45      lReiner_THFTYPE_i: $i ).
% 0.20/0.45  
% 0.20/0.45  thf(lWhenFn_THFTYPE_IiiI,type,
% 0.20/0.45      lWhenFn_THFTYPE_IiiI: $i > $i ).
% 0.20/0.45  
% 0.20/0.45  thf(lNear_THFTYPE_i,type,
% 0.20/0.45      lNear_THFTYPE_i: $i ).
% 0.20/0.45  
% 0.20/0.45  thf(orientation_THFTYPE_IiiioI,type,
% 0.20/0.45      orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
% 0.20/0.45  
% 0.20/0.45  %----The translated axioms
% 0.20/0.45  thf(ax,axiom,
% 0.20/0.45      agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ).
% 0.20/0.45  
% 0.20/0.45  thf(ax_001,axiom,
% 0.20/0.45      agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ).
% 0.20/0.45  
% 0.20/0.45  thf(ax_002,axiom,
% 0.20/0.45      instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ).
% 0.20/0.45  
% 0.20/0.45  thf(ax_003,axiom,
% 0.20/0.45      holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ).
% 0.20/0.45  
% 0.20/0.45  %----The relevant handselected axioms from SUMO
% 0.20/0.45  thf(ax_004,axiom,
% 0.20/0.45      ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
% 0.20/0.45        ( ( ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
% 0.20/0.45          & ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
% 0.20/0.45          & ( agent_THFTYPE_IiioI @ MEET @ AGENT2 ) )
% 0.20/0.45       => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ) ).
% 0.20/0.45  
% 0.20/0.45  thf(ax_005,axiom,
% 0.20/0.45      ! [OBJ1: $i,OBJ2: $i] :
% 0.20/0.45        ( ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
% 0.20/0.45       => ( (~) @ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ) ) ).
% 0.20/0.45  
% 0.20/0.45  %----The translated conjectures
% 0.20/0.45  thf(con,conjecture,
% 0.20/0.45      holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( (~) @ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ).
% 0.20/0.45  
% 0.20/0.45  %------------------------------------------------------------------------------
% 0.20/0.45  ------------------------
% 1.70/1.42  ---- Embedded in THF ---
% 1.70/1.42  %%% This output was generated by embedproblem, version 1.9.5 (library version 1.9).
% 1.70/1.42  %%% Generated on Tue Feb 24 05:50:11 EST 2026
% 1.70/1.42  %%% using '$$dhol' embedding, version 1.3.0.
% 1.70/1.42  %%% Logic specification used:
% 1.70/1.42  %%% thf(spec, logic, $$dhol).
% 1.70/1.42  
% 1.70/1.42  % SZS output start ListOfTHF for /export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2DTF14216.p
% See solution above
% 1.70/1.42  ------------------------
% 1.70/1.43  ---- Cleaned THF ---
% 1.70/1.43  thf(numbers,type,
% 1.70/1.43      num: $tType ).
% 1.70/1.43  
% 1.70/1.43  thf(agent_THFTYPE_IiioI,type,
% 1.70/1.43      agent_THFTYPE_IiioI: $i > $i > $o ).
% 1.70/1.43  
% 1.70/1.43  thf(connected_THFTYPE_IiioI,type,
% 1.70/1.43      connected_THFTYPE_IiioI: $i > $i > $o ).
% 1.70/1.43  
% 1.70/1.43  thf(holdsDuring_THFTYPE_IiooI,type,
% 1.70/1.43      holdsDuring_THFTYPE_IiooI: $i > $o > $o ).
% 1.70/1.43  
% 1.70/1.43  thf(instance_THFTYPE_IiioI,type,
% 1.70/1.43      instance_THFTYPE_IiioI: $i > $i > $o ).
% 1.70/1.43  
% 1.70/1.43  thf(lCADE_BM_THFTYPE_i,type,
% 1.70/1.43      lCADE_BM_THFTYPE_i: $i ).
% 1.70/1.43  
% 1.70/1.43  thf(lMariaPaola_THFTYPE_i,type,
% 1.70/1.43      lMariaPaola_THFTYPE_i: $i ).
% 1.70/1.43  
% 1.70/1.43  thf(lMeeting_THFTYPE_i,type,
% 1.70/1.43      lMeeting_THFTYPE_i: $i ).
% 1.70/1.43  
% 1.70/1.43  thf(lReiner_THFTYPE_i,type,
% 1.70/1.43      lReiner_THFTYPE_i: $i ).
% 1.70/1.43  
% 1.70/1.43  thf(lWhenFn_THFTYPE_IiiI,type,
% 1.70/1.43      lWhenFn_THFTYPE_IiiI: $i > $i ).
% 1.70/1.43  
% 1.70/1.43  thf(lNear_THFTYPE_i,type,
% 1.70/1.43      lNear_THFTYPE_i: $i ).
% 1.70/1.43  
% 1.70/1.43  thf(orientation_THFTYPE_IiiioI,type,
% 1.70/1.43      orientation_THFTYPE_IiiioI: $i > $i > $i > $o ).
% 1.70/1.43  
% 1.70/1.43  thf(ax,axiom,
% 1.70/1.43      agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ).
% 1.70/1.43  
% 1.70/1.43  thf(ax_001,axiom,
% 1.70/1.43      agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ).
% 1.70/1.43  
% 1.70/1.43  thf(ax_002,axiom,
% 1.70/1.43      instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ).
% 1.70/1.43  
% 1.70/1.43  thf(ax_003,axiom,
% 1.70/1.43      holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ).
% 1.70/1.43  
% 1.70/1.43  thf(ax_004,axiom,
% 1.70/1.43      ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
% 1.70/1.43        ( ( ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
% 1.70/1.43          & ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
% 1.70/1.43          & ( agent_THFTYPE_IiioI @ MEET @ AGENT2 ) )
% 1.70/1.43       => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ) ).
% 1.70/1.43  
% 1.70/1.43  thf(ax_005,axiom,
% 1.70/1.43      ! [OBJ1: $i,OBJ2: $i] :
% 1.70/1.43        ( ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
% 1.70/1.43       => ( (~) @ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ) ) ).
% 1.70/1.43  
% 1.70/1.43  thf(con,conjecture,
% 1.70/1.43      holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( (~) @ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) ).
% 1.70/1.43  ------------------------
% 1.70/1.45  % (14315)lrs+10_1:1_c=on:cnfonf=conj_eager:fd=off:fe=off:kws=frequency:spb=intro:i=4:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/4Mi)
% 1.70/1.45  % (14314)lrs+1002_1:8_bd=off:fd=off:hud=10:tnu=1:i=183:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/183Mi)
% 1.70/1.45  % (14317)lrs+10_1:1_au=on:inj=on:i=2:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/2Mi)
% 1.70/1.45  % (14316)dis+1010_1:1_au=on:cbe=off:chr=on:fsr=off:hfsq=on:nm=64:sos=theory:sp=weighted_frequency:i=27:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/27Mi)
% 1.70/1.45  % (14318)lrs+1002_1:128_aac=none:au=on:cnfonf=lazy_not_gen_be_off:sos=all:i=2:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/2Mi)
% 1.70/1.45  % (14319)lrs+1002_1:1_au=on:bd=off:e2e=on:sd=2:sos=on:ss=axioms:i=275:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/275Mi)
% 1.70/1.45  % (14320)lrs+1004_1:128_cond=on:e2e=on:sp=weighted_frequency:i=18:si=on:rtra=on_0 on DTF2THF_14216 for (2999ds/18Mi)
% 1.70/1.45  % (14317)Instruction limit reached!
% 1.70/1.45  % (14317)------------------------------
% 1.70/1.45  % (14317)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14317)Termination reason: Unknown
% 1.70/1.45  % (14318)Instruction limit reached!
% 1.70/1.45  % (14318)------------------------------
% 1.70/1.45  % (14318)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14317)Termination phase: Saturation
% 1.70/1.45  
% 1.70/1.45  % (14317)Memory used [KB]: 5500
% 1.70/1.45  % (14317)Time elapsed: 0.003 s
% 1.70/1.45  % (14317)Instructions burned: 3 (million)
% 1.70/1.45  % (14317)------------------------------
% 1.70/1.45  % (14317)------------------------------
% 1.70/1.45  % (14318)Termination reason: Unknown
% 1.70/1.45  % (14318)Termination phase: Saturation
% 1.70/1.45  
% 1.70/1.45  % (14318)Memory used [KB]: 5500
% 1.70/1.45  % (14318)Time elapsed: 0.003 s
% 1.70/1.45  % (14318)Instructions burned: 3 (million)
% 1.70/1.45  % (14318)------------------------------
% 1.70/1.45  % (14318)------------------------------
% 1.70/1.45  % (14319)Refutation not found, incomplete strategy
% 1.70/1.45  % (14319)------------------------------
% 1.70/1.45  % (14319)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14319)Termination reason: Refutation not found, incomplete strategy
% 1.70/1.45  
% 1.70/1.45  
% 1.70/1.45  % (14319)Memory used [KB]: 5500
% 1.70/1.45  % (14319)Time elapsed: 0.003 s
% 1.70/1.45  % (14319)Instructions burned: 2 (million)
% 1.70/1.45  % (14319)------------------------------
% 1.70/1.45  % (14319)------------------------------
% 1.70/1.45  % (14315)Instruction limit reached!
% 1.70/1.45  % (14315)------------------------------
% 1.70/1.45  % (14315)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14315)Termination reason: Unknown
% 1.70/1.45  % (14315)Termination phase: Saturation
% 1.70/1.45  
% 1.70/1.45  % (14315)Memory used [KB]: 5500
% 1.70/1.45  % (14315)Time elapsed: 0.004 s
% 1.70/1.45  % (14315)Instructions burned: 4 (million)
% 1.70/1.45  % (14315)------------------------------
% 1.70/1.45  % (14315)------------------------------
% 1.70/1.45  % (14316)Refutation not found, incomplete strategy
% 1.70/1.45  % (14316)------------------------------
% 1.70/1.45  % (14316)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14316)Termination reason: Refutation not found, incomplete strategy
% 1.70/1.45  
% 1.70/1.45  
% 1.70/1.45  % (14316)Memory used [KB]: 5500
% 1.70/1.45  % (14316)Time elapsed: 0.006 s
% 1.70/1.45  % (14316)Instructions burned: 7 (million)
% 1.70/1.45  % (14316)------------------------------
% 1.70/1.45  % (14316)------------------------------
% 1.70/1.45  % (14314)First to succeed.
% 1.70/1.45  % (14320)Refutation not found, incomplete strategy
% 1.70/1.45  % (14320)------------------------------
% 1.70/1.45  % (14320)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14320)Termination reason: Refutation not found, incomplete strategy
% 1.70/1.45  
% 1.70/1.45  
% 1.70/1.45  % (14320)Memory used [KB]: 5500
% 1.70/1.45  % (14320)Time elapsed: 0.007 s
% 1.70/1.45  % (14320)Instructions burned: 10 (million)
% 1.70/1.45  % (14320)------------------------------
% 1.70/1.45  % (14320)------------------------------
% 1.70/1.45  % (14314)Refutation found. Thanks to Tanya!
% 1.70/1.45  % SZS status Theorem for DTF2THF_14216
% 1.70/1.45  % SZS output start Proof for DTF2THF_14216
% 1.70/1.45  thf(func_def_0, type, num: $tType).
% 1.70/1.45  thf(func_def_1, type, agent_THFTYPE_IiioI: $i > $i > $o).
% 1.70/1.45  thf(func_def_2, type, connected_THFTYPE_IiioI: $i > $i > $o).
% 1.70/1.45  thf(func_def_3, type, holdsDuring_THFTYPE_IiooI: $i > $o > $o).
% 1.70/1.45  thf(func_def_4, type, instance_THFTYPE_IiioI: $i > $i > $o).
% 1.70/1.45  thf(func_def_9, type, lWhenFn_THFTYPE_IiiI: $i > $i).
% 1.70/1.45  thf(func_def_11, type, orientation_THFTYPE_IiiioI: $i > $i > $i > $o).
% 1.70/1.45  thf(func_def_17, type, ph1: !>[X0: $tType]:(X0)).
% 1.70/1.45  thf(f88,plain,(
% 1.70/1.45    $false),
% 1.70/1.45    inference(avatar_sat_refutation,[status(thm)],[f60,f70,f87])).
% 1.70/1.45  thf(f87,plain,(
% 1.70/1.45    ~spl0_1),
% 1.70/1.45    inference(avatar_contradiction_clause,[status(thm)],[f86])).
% 1.70/1.45  thf(f86,plain,(
% 1.70/1.45    $false | ~spl0_1),
% 1.70/1.45    inference(subsumption_resolution,[status(thm)],[f85,f31])).
% 1.70/1.45  thf(f31,plain,(
% 1.70/1.45    ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i) = $true)),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f19])).
% 1.70/1.45  thf(f19,plain,(
% 1.70/1.45    ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i) = $true)),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f18])).
% 1.70/1.45  thf(f18,plain,(
% 1.70/1.45    (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)),
% 1.70/1.45    inference(rectify,[status(thm)],[f2])).
% 1.70/1.45  thf(f2,axiom,(
% 1.70/1.45    (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i)),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_001)).
% 1.70/1.45  thf(f85,plain,(
% 1.70/1.45    ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i) != $true) | ~spl0_1),
% 1.70/1.45    inference(subsumption_resolution,[status(thm)],[f84,f34])).
% 1.70/1.45  thf(f34,plain,(
% 1.70/1.45    ((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i) = $true)),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f15])).
% 1.70/1.45  thf(f15,plain,(
% 1.70/1.45    ((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i) = $true)),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f14])).
% 1.70/1.45  thf(f14,plain,(
% 1.70/1.45    (instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)),
% 1.70/1.45    inference(rectify,[status(thm)],[f3])).
% 1.70/1.45  thf(f3,axiom,(
% 1.70/1.45    (instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i)),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_002)).
% 1.70/1.45  thf(f84,plain,(
% 1.70/1.45    ((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i) != $true) | ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i) != $true) | ~spl0_1),
% 1.70/1.45    inference(trivial_inequality_removal,[status(thm)],[f83])).
% 1.70/1.45  thf(f83,plain,(
% 1.70/1.45    ((instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i) != $true) | ($true != $true) | ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i) != $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i)) | ~spl0_1),
% 1.70/1.45    inference(superposition,[status(thm)],[f82,f30])).
% 1.70/1.45  thf(f30,plain,(
% 1.70/1.45    ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i) = $true)),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f21])).
% 1.70/1.45  thf(f21,plain,(
% 1.70/1.45    ((agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i) = $true)),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f20])).
% 1.70/1.45  thf(f20,plain,(
% 1.70/1.45    (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)),
% 1.70/1.45    inference(rectify,[status(thm)],[f1])).
% 1.70/1.45  thf(f1,axiom,(
% 1.70/1.45    (agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i)),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax)).
% 1.70/1.45  thf(f82,plain,(
% 1.70/1.45    ( ! [X0 : $i] : (($true != (agent_THFTYPE_IiioI @ X0 @ lReiner_THFTYPE_i)) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ($true != (agent_THFTYPE_IiioI @ X0 @ lMariaPaola_THFTYPE_i)) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true)) ) | ~spl0_1),
% 1.70/1.45    inference(trivial_inequality_removal,[status(thm)],[f77])).
% 1.70/1.45  thf(f77,plain,(
% 1.70/1.45    ( ! [X0 : $i] : (($true != (agent_THFTYPE_IiioI @ X0 @ lReiner_THFTYPE_i)) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ($true != (agent_THFTYPE_IiioI @ X0 @ lMariaPaola_THFTYPE_i)) | ($true = $false) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true)) ) | ~spl0_1),
% 1.70/1.45    inference(superposition,[status(thm)],[f40,f74])).
% 1.70/1.45  thf(f74,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((connected_THFTYPE_IiioI @ X0 @ X1) = $false) | ((agent_THFTYPE_IiioI @ X2 @ X0) != $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X2)) | ((agent_THFTYPE_IiioI @ X2 @ X1) != $true) | ((instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i) != $true)) ) | ~spl0_1),
% 1.70/1.45    inference(trivial_inequality_removal,[status(thm)],[f73])).
% 1.70/1.45  thf(f73,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((agent_THFTYPE_IiioI @ X2 @ X1) != $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X2)) | ((agent_THFTYPE_IiioI @ X2 @ X0) != $true) | ($true != $true) | ((instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i) != $true) | ((connected_THFTYPE_IiioI @ X0 @ X1) = $false)) ) | ~spl0_1),
% 1.70/1.45    inference(superposition,[status(thm)],[f37,f55])).
% 1.70/1.45  thf(f55,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true)) ) | ~spl0_1),
% 1.70/1.45    inference(avatar_component_clause,[status(thm)],[f54])).
% 1.70/1.45  thf(f54,definition,(
% 1.70/1.45    spl0_1 <=> ! [X2 : $i,X0 : $i,X1 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ($true = (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true))),
% 1.70/1.45    introduced(definition,[new_symbols(naming,[spl0_1])],[avatar_definition])).
% 1.70/1.45  thf(f37,plain,(
% 1.70/1.45    ( ! [X0 : $i,X1 : $i] : (($true != (orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) | ((connected_THFTYPE_IiioI @ X0 @ X1) = $false)) )),
% 1.70/1.45    inference(not_proxy_clausification,[status(thm)],[f36])).
% 1.70/1.45  thf(f36,plain,(
% 1.70/1.45    ( ! [X0 : $i,X1 : $i] : (($true != (orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)) | ($true = (~ (connected_THFTYPE_IiioI @ X0 @ X1)))) )),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f29])).
% 1.70/1.45  thf(f29,plain,(
% 1.70/1.45    ! [X0 : $i,X1 : $i] : (($true = (~ (connected_THFTYPE_IiioI @ X0 @ X1))) | ($true != (orientation_THFTYPE_IiiioI @ X0 @ X1 @ lNear_THFTYPE_i)))),
% 1.70/1.45    inference(rectify,[status(thm)],[f27])).
% 1.70/1.45  thf(f27,plain,(
% 1.70/1.45    ! [X1 : $i,X0 : $i] : (($true = (~ (connected_THFTYPE_IiioI @ X1 @ X0))) | ($true != (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i)))),
% 1.70/1.45    inference(ennf_transformation,[status(thm)],[f13])).
% 1.70/1.45  thf(f13,plain,(
% 1.70/1.45    ! [X1 : $i,X0 : $i] : (($true = (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i)) => ($true = (~ (connected_THFTYPE_IiioI @ X1 @ X0))))),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f12])).
% 1.70/1.45  thf(f12,plain,(
% 1.70/1.45    ! [X0 : $i,X1 : $i] : ((orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i) => (~ (connected_THFTYPE_IiioI @ X1 @ X0)))),
% 1.70/1.45    inference(rectify,[status(thm)],[f6])).
% 1.70/1.45  thf(f6,axiom,(
% 1.70/1.45    ! [X4 : $i,X3 : $i] : ((orientation_THFTYPE_IiiioI @ X3 @ X4 @ lNear_THFTYPE_i) => (~ (connected_THFTYPE_IiioI @ X3 @ X4)))),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_005)).
% 1.70/1.45  thf(f40,plain,(
% 1.70/1.45    ((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i) = $true)),
% 1.70/1.45    inference(not_proxy_clausification,[status(thm)],[f39])).
% 1.70/1.45  thf(f39,plain,(
% 1.70/1.45    ((~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) != $true)),
% 1.70/1.45    inference(trivial_inequality_removal,[status(thm)],[f38])).
% 1.70/1.45  thf(f38,plain,(
% 1.70/1.45    ($true != $true) | ((~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) != $true)),
% 1.70/1.45    inference(constrained_superposition,[status(thm)],[f33,f35])).
% 1.70/1.45  thf(f35,plain,(
% 1.70/1.45    ($true = (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true))),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f11])).
% 1.70/1.45  thf(f11,plain,(
% 1.70/1.45    ($true = (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true))),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f10])).
% 1.70/1.45  thf(f10,plain,(
% 1.70/1.45    (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)),
% 1.70/1.45    inference(rectify,[status(thm)],[f4])).
% 1.70/1.45  thf(f4,axiom,(
% 1.70/1.45    (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_003)).
% 1.70/1.45  thf(f33,plain,(
% 1.70/1.45    ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i))) != $true)),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f24])).
% 1.70/1.45  thf(f24,plain,(
% 1.70/1.45    ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i))) != $true)),
% 1.70/1.45    inference(flattening,[status(thm)],[f23])).
% 1.70/1.45  thf(f23,plain,(
% 1.70/1.45    ~((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i))) = $true)),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f22])).
% 1.70/1.45  thf(f22,plain,(
% 1.70/1.45    ~(holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))),
% 1.70/1.45    inference(rectify,[status(thm)],[f8])).
% 1.70/1.45  thf(f8,negated_conjecture,(
% 1.70/1.45    ~(holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))),
% 1.70/1.45    inference(negated_conjecture,[status(cth)],[f7])).
% 1.70/1.45  thf(f7,conjecture,(
% 1.70/1.45    (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)))),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',con)).
% 1.70/1.45  thf(f70,plain,(
% 1.70/1.45    ~spl0_2),
% 1.70/1.45    inference(avatar_contradiction_clause,[status(thm)],[f69])).
% 1.70/1.45  thf(f69,plain,(
% 1.70/1.45    $false | ~spl0_2),
% 1.70/1.45    inference(subsumption_resolution,[status(thm)],[f64,f35])).
% 1.70/1.45  thf(f64,plain,(
% 1.70/1.45    ($true != (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ $true)) | ~spl0_2),
% 1.70/1.45    inference(boolean_simplification,[status(thm)],[f63])).
% 1.70/1.45  thf(f63,plain,(
% 1.70/1.45    ($true != (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) @ (~ $false))) | ~spl0_2),
% 1.70/1.45    inference(superposition,[status(thm)],[f33,f59])).
% 1.70/1.45  thf(f59,plain,(
% 1.70/1.45    ((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i) = $false) | ~spl0_2),
% 1.70/1.45    inference(avatar_component_clause,[status(thm)],[f57])).
% 1.70/1.45  thf(f57,definition,(
% 1.70/1.45    spl0_2 <=> ((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i) = $false)),
% 1.70/1.45    introduced(definition,[new_symbols(naming,[spl0_2])],[avatar_definition])).
% 1.70/1.45  thf(f60,plain,(
% 1.70/1.45    spl0_1 | spl0_2),
% 1.70/1.45    inference(avatar_split_clause,[status(thm)],[f51,f57,f54])).
% 1.70/1.45  thf(f51,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true) | ((connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i) = $false) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true) | ($true = (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0))) )),
% 1.70/1.45    inference(not_proxy_clausification,[status(thm)],[f48])).
% 1.70/1.45  thf(f48,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) = $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ($true = (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true)) )),
% 1.70/1.45    inference(binary_proxy_clausification,[status(thm)],[f47])).
% 1.70/1.45  thf(f47,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X2) != $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) != (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true)) )),
% 1.70/1.45    inference(trivial_inequality_removal,[status(thm)],[f46])).
% 1.70/1.45  thf(f46,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (($true != $true) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true) | ((lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i) != (lWhenFn_THFTYPE_IiiI @ X0)) | ((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true) | ((~ (connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i)) != (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i))) )),
% 1.70/1.45    inference(constrained_superposition,[status(thm)],[f33,f32])).
% 1.70/1.45  thf(f32,plain,(
% 1.70/1.45    ( ! [X2 : $i,X0 : $i,X1 : $i] : (((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) = $true) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true) | ((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true)) )),
% 1.70/1.45    inference(cnf_transformation,[status(thm)],[f28])).
% 1.70/1.45  thf(f28,plain,(
% 1.70/1.45    ! [X0 : $i,X1 : $i,X2 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X1) != $true) | ((holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X1 @ X2 @ lNear_THFTYPE_i)) = $true) | ((instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) != $true) | ((agent_THFTYPE_IiioI @ X0 @ X2) != $true))),
% 1.70/1.45    inference(rectify,[status(thm)],[f26])).
% 1.70/1.45  thf(f26,plain,(
% 1.70/1.45    ! [X2 : $i,X1 : $i,X0 : $i] : (((agent_THFTYPE_IiioI @ X2 @ X1) != $true) | ($true = (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X2) @ (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i))) | ((instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i) != $true) | ((agent_THFTYPE_IiioI @ X2 @ X0) != $true))),
% 1.70/1.45    inference(flattening,[status(thm)],[f25])).
% 1.70/1.45  thf(f25,plain,(
% 1.70/1.45    ! [X2 : $i,X0 : $i,X1 : $i] : (($true = (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X2) @ (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i))) | (((agent_THFTYPE_IiioI @ X2 @ X1) != $true) | ((instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i) != $true) | ((agent_THFTYPE_IiioI @ X2 @ X0) != $true)))),
% 1.70/1.45    inference(ennf_transformation,[status(thm)],[f17])).
% 1.70/1.45  thf(f17,plain,(
% 1.70/1.45    ! [X2 : $i,X0 : $i,X1 : $i] : ((((agent_THFTYPE_IiioI @ X2 @ X1) = $true) & ((instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i) = $true) & ((agent_THFTYPE_IiioI @ X2 @ X0) = $true)) => ($true = (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X2) @ (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i))))),
% 1.70/1.45    inference(fool_elimination,[status(thm)],[f16])).
% 1.70/1.45  thf(f16,plain,(
% 1.70/1.45    ! [X0 : $i,X1 : $i,X2 : $i] : (((agent_THFTYPE_IiioI @ X2 @ X0) & (instance_THFTYPE_IiioI @ X2 @ lMeeting_THFTYPE_i) & (agent_THFTYPE_IiioI @ X2 @ X1)) => (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X2) @ (orientation_THFTYPE_IiiioI @ X1 @ X0 @ lNear_THFTYPE_i)))),
% 1.70/1.45    inference(rectify,[status(thm)],[f5])).
% 1.70/1.45  thf(f5,axiom,(
% 1.70/1.45    ! [X1 : $i,X2 : $i,X0 : $i] : (((agent_THFTYPE_IiioI @ X0 @ X1) & (instance_THFTYPE_IiioI @ X0 @ lMeeting_THFTYPE_i) & (agent_THFTYPE_IiioI @ X0 @ X2)) => (holdsDuring_THFTYPE_IiooI @ (lWhenFn_THFTYPE_IiiI @ X0) @ (orientation_THFTYPE_IiiioI @ X2 @ X1 @ lNear_THFTYPE_i)))),
% 1.70/1.45    file('/export/starexec/sandbox/tmp/tmp.xiIr29oGNC/DTF2THF_14216.p',ax_004)).
% 1.70/1.45  % SZS output end Proof for DTF2THF_14216
% 1.70/1.45  % (14314)------------------------------
% 1.70/1.45  % (14314)Version: Vampire 4.8 (commit 7b44b1c2f on 2025-07-15 09:50:17 +0100)
% 1.70/1.45  % (14314)Termination reason: Refutation
% 1.70/1.45  
% 1.70/1.45  % (14314)Memory used [KB]: 5500
% 1.70/1.45  % (14314)Time elapsed: 0.008 s
% 1.70/1.45  % (14314)Instructions burned: 9 (million)
% 1.70/1.45  % (14314)------------------------------
% 1.70/1.45  % (14314)------------------------------
% 1.70/1.45  % (14313)Success in time 0.022 s
%------------------------------------------------------------------------------