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LEO-II---2.3.1.THM-CRf.s

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p

% Computer : n018.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 Oct  7 10:16:13 AM UTC 2026

% Result   : Theorem 0.58s 0.34s
% Output   : CNFRefutation 0.58s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   25
%            Number of leaves      :    7
% Syntax   : Number of formulae    :  100 (  35 unt;   0 typ;   0 def)
%            Number of atoms       :  818 ( 251 equ;   0 cnn)
%            Maximal formula atoms :    6 (   8 avg)
%            Number of connectives : 1033 (  67   ~; 160   |;   4   &; 798   @)
%                                         (   0 <=>;   4  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   4 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :  118 (   0   ^; 118   !;   0   ?; 118   :)

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

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

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

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

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

thf(tp_lCADE_BM_THFTYPE_i,type,
    lCADE_BM_THFTYPE_i: $i ).

thf(tp_lMariaPaola_THFTYPE_i,type,
    lMariaPaola_THFTYPE_i: $i ).

thf(tp_lMeeting_THFTYPE_i,type,
    lMeeting_THFTYPE_i: $i ).

thf(tp_lNear_THFTYPE_i,type,
    lNear_THFTYPE_i: $i ).

thf(tp_lReiner_THFTYPE_i,type,
    lReiner_THFTYPE_i: $i ).

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

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

thf(1,axiom,
    ! [OBJ1: $i,OBJ2: $i] :
      ( ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
     => ~ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_005) ).

thf(2,axiom,
    ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
      ( ( ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
        & ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
        & ( agent_THFTYPE_IiioI @ MEET @ AGENT2 ) )
     => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_004) ).

thf(3,axiom,
    holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_003) ).

thf(4,axiom,
    instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_002) ).

thf(5,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax_001) ).

thf(6,axiom,
    agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax) ).

thf(7,conjecture,
    ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
    @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

thf(8,negated_conjecture,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[7]) ).

thf(9,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
    = $false ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(10,plain,
    ( ( ! [OBJ1: $i,OBJ2: $i] :
          ( ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
         => ~ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(11,plain,
    ( ( ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
          ( ( ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
            & ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
            & ( agent_THFTYPE_IiioI @ MEET @ AGENT2 ) )
         => ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(12,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(13,plain,
    ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(14,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(15,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(16,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
          @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[9]) ).

thf(17,plain,
    ( ( ! [OBJ1: $i,OBJ2: $i] :
          ( ~ ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
          | ~ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[10]) ).

thf(18,plain,
    ( ( ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
          ( ~ ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
          | ~ ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
          | ~ ( agent_THFTYPE_IiioI @ MEET @ AGENT2 )
          | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[11]) ).

thf(19,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(20,plain,
    ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[14]) ).

thf(21,plain,
    ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
    = $true ),
    inference(copy,[status(thm)],[13]) ).

thf(22,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true )
    = $true ),
    inference(copy,[status(thm)],[12]) ).

thf(23,plain,
    ( ( ! [MEET: $i,AGENT2: $i,AGENT1: $i] :
          ( ~ ( agent_THFTYPE_IiioI @ MEET @ AGENT1 )
          | ~ ( instance_THFTYPE_IiioI @ MEET @ lMeeting_THFTYPE_i )
          | ~ ( agent_THFTYPE_IiioI @ MEET @ AGENT2 )
          | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ MEET ) @ ( orientation_THFTYPE_IiiioI @ AGENT1 @ AGENT2 @ lNear_THFTYPE_i ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(24,plain,
    ( ( ! [OBJ1: $i,OBJ2: $i] :
          ( ~ ( orientation_THFTYPE_IiiioI @ OBJ1 @ OBJ2 @ lNear_THFTYPE_i )
          | ~ ( connected_THFTYPE_IiioI @ OBJ1 @ OBJ2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(25,plain,
    ( ( ~ ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
          @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(26,plain,
    ! [SV1: $i] :
      ( ( ! [SY5: $i,SY6: $i] :
            ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SY6 )
            | ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i )
            | ~ ( agent_THFTYPE_IiioI @ SV1 @ SY5 )
            | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SY6 @ SY5 @ lNear_THFTYPE_i ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[23]) ).

thf(27,plain,
    ! [SV2: $i] :
      ( ( ! [SY7: $i] :
            ( ~ ( orientation_THFTYPE_IiiioI @ SV2 @ SY7 @ lNear_THFTYPE_i )
            | ~ ( connected_THFTYPE_IiioI @ SV2 @ SY7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[24]) ).

thf(28,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
      @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[25]) ).

thf(29,plain,
    ! [SV3: $i,SV1: $i] :
      ( ( ! [SY8: $i] :
            ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SY8 )
            | ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i )
            | ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 )
            | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SY8 @ SV3 @ lNear_THFTYPE_i ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[26]) ).

thf(30,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ~ ( orientation_THFTYPE_IiiioI @ SV2 @ SV4 @ lNear_THFTYPE_i )
        | ~ ( connected_THFTYPE_IiioI @ SV2 @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[27]) ).

thf(31,plain,
    ! [SV3: $i,SV5: $i,SV1: $i] :
      ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV5 )
        | ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i )
        | ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 )
        | ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[29]) ).

thf(32,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( ~ ( orientation_THFTYPE_IiiioI @ SV2 @ SV4 @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( connected_THFTYPE_IiioI @ SV2 @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[30]) ).

thf(33,plain,
    ! [SV3: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV5 )
          | ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i )
          | ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[31]) ).

thf(34,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( orientation_THFTYPE_IiiioI @ SV2 @ SV4 @ lNear_THFTYPE_i )
        = $false )
      | ( ( ~ ( connected_THFTYPE_IiioI @ SV2 @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[32]) ).

thf(35,plain,
    ! [SV3: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV5 )
          | ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[33]) ).

thf(36,plain,
    ! [SV4: $i,SV2: $i] :
      ( ( ( connected_THFTYPE_IiioI @ SV2 @ SV4 )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV2 @ SV4 @ lNear_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[34]) ).

thf(37,plain,
    ! [SV3: $i,SV5: $i,SV1: $i] :
      ( ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV5 ) )
        = $true )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[35]) ).

thf(38,plain,
    ! [SV3: $i,SV5: $i,SV1: $i] :
      ( ( ( agent_THFTYPE_IiioI @ SV1 @ SV5 )
        = $false )
      | ( ( ~ ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i ) )
        = $true )
      | ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[37]) ).

thf(39,plain,
    ! [SV3: $i,SV5: $i,SV1: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV1 @ SV5 )
        = $false )
      | ( ( ~ ( agent_THFTYPE_IiioI @ SV1 @ SV3 ) )
        = $true )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[38]) ).

thf(40,plain,
    ! [SV5: $i,SV3: $i,SV1: $i] :
      ( ( ( agent_THFTYPE_IiioI @ SV1 @ SV3 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV1 @ SV5 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV1 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV1 ) @ ( orientation_THFTYPE_IiiioI @ SV5 @ SV3 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[39]) ).

thf(53,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
        @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ $true ) )
    = $false ),
    inference(res,[status(thm)],[28,22]) ).

thf(58,plain,
    ( ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $false )
    | ( $true = $false ) ),
    inference(extuni,[status(esa)],[53]) ).

thf(59,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $true )
    | ( $true = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[58]) ).

thf(61,plain,
    ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
    = $true ),
    inference(sim,[status(thm)],[59]) ).

thf(63,plain,
    ! [SV6: $i,SV7: $i] :
      ( ( ( connected_THFTYPE_IiioI @ SV7 @ SV6 )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV7 @ SV6 @ lNear_THFTYPE_i )
        = $false ) ),
    inference(rename,[status(thm)],[36]) ).

thf(65,plain,
    ! [SV6: $i,SV7: $i] :
      ( ( ( ( connected_THFTYPE_IiioI @ SV7 @ SV6 )
          = ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV7 @ SV6 @ lNear_THFTYPE_i )
        = $false ) ),
    inference(res,[status(thm)],[63,61]) ).

thf(75,plain,
    ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
    = $false ),
    inference(extuni,[status(esa)],[65:[bind(SV6,$thf( lReiner_THFTYPE_i )),bind(SV7,$thf( lMariaPaola_THFTYPE_i ))]]) ).

thf(82,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(rename,[status(thm)],[40]) ).

thf(95,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
          = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
            @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false ) ),
    inference(res,[status(thm)],[82,28]) ).

thf(99,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(res,[status(thm)],[82,21]) ).

thf(103,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
          = ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(res,[status(thm)],[82,20]) ).

thf(104,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
          = ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(res,[status(thm)],[82,20]) ).

thf(106,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
          = ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(res,[status(thm)],[82,19]) ).

thf(107,plain,
    ! [SV10: $i,SV11: $i,SV12: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
          = ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ SV12 ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(res,[status(thm)],[82,19]) ).

thf(108,plain,
    ! [SV10: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[107:[bind(SV11,$thf( lReiner_THFTYPE_i )),bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(109,plain,
    ! [SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ SV11 @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(extuni,[status(esa)],[106:[bind(SV10,$thf( lReiner_THFTYPE_i )),bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(110,plain,
    ! [SV10: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ lMariaPaola_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false ) ),
    inference(extuni,[status(esa)],[104:[bind(SV11,$thf( lMariaPaola_THFTYPE_i )),bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(111,plain,
    ! [SV11: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ SV11 @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(extuni,[status(esa)],[103:[bind(SV10,$thf( lMariaPaola_THFTYPE_i )),bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(112,plain,
    ! [SV11: $i,SV10: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false ) ),
    inference(extuni,[status(esa)],[99:[bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(113,plain,
    ! [SV11: $i,SV10: $i] :
      ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $true )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[95:[bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(114,plain,
    ! [SV11: $i,SV10: $i] :
      ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $false )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[95:[bind(SV12,$thf( lCADE_BM_THFTYPE_i ))]]) ).

thf(115,plain,
    ! [SV11: $i,SV10: $i,SV12: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $true )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $true )
      | ( ( ( lWhenFn_THFTYPE_IiiI @ SV12 )
          = ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[95]) ).

thf(116,plain,
    ! [SV11: $i,SV10: $i,SV12: $i] :
      ( ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $false )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false )
      | ( ( ( lWhenFn_THFTYPE_IiiI @ SV12 )
          = ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[95]) ).

thf(117,plain,
    ! [SV12: $i,SV11: $i,SV10: $i] :
      ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $true )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( ( lWhenFn_THFTYPE_IiiI @ SV12 )
          = ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[116]) ).

thf(118,plain,
    ! [SV12: $i,SV11: $i,SV10: $i] :
      ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $true )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ SV12 @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ SV12 @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( ( lWhenFn_THFTYPE_IiiI @ SV12 )
          = ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[115]) ).

thf(119,plain,
    ! [SV11: $i,SV10: $i] :
      ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $true )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[114]) ).

thf(120,plain,
    ! [SV11: $i,SV10: $i] :
      ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV10 @ SV11 @ lNear_THFTYPE_i )
        = $true )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV11 )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV10 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(121,plain,
    ! [SV13: $i] :
      ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false ) ),
    inference(rename,[status(thm)],[108]) ).

thf(136,plain,
    ! [SV13: $i] :
      ( ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
          = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
            @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false ) ),
    inference(res,[status(thm)],[121,28]) ).

thf(140,plain,
    ! [SV13: $i] :
      ( ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
          = ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false ) ),
    inference(res,[status(thm)],[121,21]) ).

thf(141,plain,
    ! [SV13: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
          = ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMariaPaola_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false ) ),
    inference(res,[status(thm)],[121,20]) ).

thf(143,plain,
    ! [SV13: $i] :
      ( ( ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
          = ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false ) ),
    inference(res,[status(thm)],[121,19]) ).

thf(145,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false )
    | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[143:[bind(SV13,$thf( lReiner_THFTYPE_i ))]]) ).

thf(146,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false )
    | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[141:[bind(SV13,$thf( lMariaPaola_THFTYPE_i ))]]) ).

thf(147,plain,
    ! [SV13: $i] :
      ( ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false )
      | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[140]) ).

thf(148,plain,
    ! [SV13: $i] :
      ( ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
        = $true )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $true ) ),
    inference(extuni,[status(esa)],[136]) ).

thf(149,plain,
    ! [SV13: $i] :
      ( ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
        = $false )
      | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
        = $false ) ),
    inference(extuni,[status(esa)],[136]) ).

thf(150,plain,
    ! [SV13: $i] :
      ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $true )
      | ( ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
        = $false )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[149]) ).

thf(151,plain,
    ! [SV13: $i] :
      ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
        = $false )
      | ( ( orientation_THFTYPE_IiiioI @ SV13 @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
        = $true )
      | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = $false )
      | ( ( agent_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ SV13 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(165,plain,
    ( ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
          @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
      = $false )
    | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false ) ),
    inference(res,[status(thm)],[145,28]) ).

thf(167,plain,
    ( ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) )
      = $false )
    | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
      = $true ) ),
    inference(res,[status(thm)],[145,21]) ).

thf(170,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
    = $true ),
    inference(extuni,[status(esa)],[167]) ).

thf(171,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $true )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[165]) ).

thf(172,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $false )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[165]) ).

thf(173,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $true )
    | ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $false )
    | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[172]) ).

thf(174,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $true )
    | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(183,plain,
    ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
      = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
        @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
    = $false ),
    inference(res,[status(thm)],[170,28]) ).

thf(184,plain,
    ( ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $true )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[183]) ).

thf(185,plain,
    ( ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $false )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[183]) ).

thf(186,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $true )
    | ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[185]) ).

thf(187,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lReiner_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(202,plain,
    ( ( ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
        = ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i )
          @ ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) ) )
      = $false )
    | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false ) ),
    inference(res,[status(thm)],[146,28]) ).

thf(204,plain,
    ( ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
        = ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i ) )
      = $false )
    | ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
      = $true ) ),
    inference(res,[status(thm)],[146,21]) ).

thf(207,plain,
    ( ( holdsDuring_THFTYPE_IiooI @ ( lWhenFn_THFTYPE_IiiI @ lCADE_BM_THFTYPE_i ) @ ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i ) )
    = $true ),
    inference(extuni,[status(esa)],[204]) ).

thf(208,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $true )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $true ) ),
    inference(extuni,[status(esa)],[202]) ).

thf(209,plain,
    ( ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $false )
    | ( ( ~ ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i ) )
      = $false ) ),
    inference(extuni,[status(esa)],[202]) ).

thf(210,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $true )
    | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $false )
    | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_neg,[status(thm)],[209]) ).

thf(211,plain,
    ( ( ( connected_THFTYPE_IiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i )
      = $false )
    | ( ( orientation_THFTYPE_IiiioI @ lMariaPaola_THFTYPE_i @ lReiner_THFTYPE_i @ lNear_THFTYPE_i )
      = $true )
    | ( ( instance_THFTYPE_IiioI @ lCADE_BM_THFTYPE_i @ lMeeting_THFTYPE_i )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[208]) ).

thf(212,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[19,211,210,207,187,186,174,173,170,151,150,147,146,121,120,119,118,117,112,111,110,109,82,75,63,61,28,22,21,20]) ).

thf(213,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[212]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR141^1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.07/0.19  % Computer : n018.cluster.edu
% 0.07/0.19  % Model    : x86_64 x86_64
% 0.07/0.19  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19  % Memory   : 8046.5625MB
% 0.07/0.19  % OS       : Linux 6.8.0-71-generic
% 0.07/0.19  % CPULimit : 300
% 0.07/0.19  % WCLimit  : 300
% 0.07/0.19  % DateTime : Tue Oct  6 18:57:52 UTC 2026
% 0.07/0.19  % CPUTime  : 
% 0.07/0.19  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox/solver/bin/eprover /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.58/0.34  
% 0.58/0.34   No.of.Axioms: 6
% 0.58/0.34  
% 0.58/0.34   Length.of.Defs: 0
% 0.58/0.34  
% 0.58/0.34   Contains.Choice.Funs: false
% 0.58/0.34  ....
% 0.58/0.34  
% 0.58/0.34  ********************************
% 0.58/0.34  *   All subproblems solved!    *
% 0.58/0.34  ********************************
% 0.58/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:212,loop_count:15,foatp_calls:4,translation:fof_experiment)
% 0.58/0.34  
% 0.58/0.34  %**** Beginning of derivation protocol ****
% 0.58/0.34  % SZS output start CNFRefutation
% See solution above
% 0.58/0.34  
% 0.58/0.34  %**** End of derivation protocol ****
% 0.58/0.34  %**** no. of clauses in derivation: 100 ****
% 0.58/0.34  %**** clause counter: 212 ****
% 0.58/0.34  
% 0.58/0.34  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:6,ps:3,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:true,expand_extuni:false,foatp:e,atp_timeout:15,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:212,loop_count:15,foatp_calls:4,translation:fof_experiment)
%------------------------------------------------------------------------------