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

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%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p

% Computer : n026.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 10:13:29 AM UTC 2026

% Result   : Theorem 0.45s 0.31s
% Output   : CNFRefutation 0.45s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   11
% Syntax   : Number of formulae    :   80 (  50 unt;   0 typ;   0 def)
%            Number of atoms       :  360 (  96 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  419 (  69   ~;  58   |;   6   &; 262   @)
%                                         (   0 <=>;  24  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    8 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   34 (  31 usr;  16 con; 0-2 aty)
%            Number of variables   :  102 (   0   ^; 102   !;   0   ?; 102   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_binarypredicate,type,
    binarypredicate: $i > $o ).

thf(tp_c_basekb,type,
    c_basekb: $i ).

thf(tp_c_genlmt,type,
    c_genlmt: $i ).

thf(tp_c_geographicalsubregions,type,
    c_geographicalsubregions: $i ).

thf(tp_c_geographymt,type,
    c_geographymt: $i ).

thf(tp_c_georegion_l2_x5_y8,type,
    c_georegion_l2_x5_y8: $i ).

thf(tp_c_georegion_l3_x15_y24,type,
    c_georegion_l3_x15_y24: $i ).

thf(tp_c_georegion_l4_x45_y72,type,
    c_georegion_l4_x45_y72: $i ).

thf(tp_c_orderingpredicate,type,
    c_orderingpredicate: $i ).

thf(tp_c_physicalorderingpredicate,type,
    c_physicalorderingpredicate: $i ).

thf(tp_c_tptpgeo_member7_mt,type,
    c_tptpgeo_member7_mt: $i ).

thf(tp_c_tptpgeo_spindleheadmt,type,
    c_tptpgeo_spindleheadmt: $i ).

thf(tp_c_transitivebinarypredicate,type,
    c_transitivebinarypredicate: $i ).

thf(tp_c_universalvocabularymt,type,
    c_universalvocabularymt: $i ).

thf(tp_c_worldgeographymt,type,
    c_worldgeographymt: $i ).

thf(tp_collection,type,
    collection: $i > $o ).

thf(tp_disjointwith,type,
    disjointwith: $i > $i > $o ).

thf(tp_genlinverse,type,
    genlinverse: $i > $i > $o ).

thf(tp_genlmt,type,
    genlmt: $i > $i > $o ).

thf(tp_genlpreds,type,
    genlpreds: $i > $i > $o ).

thf(tp_genls,type,
    genls: $i > $i > $o ).

thf(tp_geographicalregion,type,
    geographicalregion: $i > $o ).

thf(tp_geographicalsubregions,type,
    geographicalsubregions: $i > $i > $o ).

thf(tp_isa,type,
    isa: $i > $i > $o ).

thf(tp_microtheory,type,
    microtheory: $i > $o ).

thf(tp_mtvisible,type,
    mtvisible: $i > $o ).

thf(tp_orderingpredicate,type,
    orderingpredicate: $i > $o ).

thf(tp_physicalorderingpredicate,type,
    physicalorderingpredicate: $i > $o ).

thf(tp_predicate,type,
    predicate: $i > $o ).

thf(tp_thing,type,
    thing: $i > $o ).

thf(tp_transitivebinarypredicate,type,
    transitivebinarypredicate: $i > $o ).

thf(1,axiom,
    mtvisible @ c_basekb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just65) ).

thf(9,axiom,
    ! [SPECMT: $i,GENLMT: $i] :
      ( ( ( mtvisible @ SPECMT )
        & ( genlmt @ SPECMT @ GENLMT ) )
     => ( mtvisible @ GENLMT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just57) ).

thf(10,axiom,
    mtvisible @ c_universalvocabularymt,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just56) ).

thf(31,axiom,
    ! [X: $i] :
      ( ( geographicalregion @ X )
     => ( geographicalsubregions @ X @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

thf(32,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( geographicalsubregions @ X @ Y )
        & ( geographicalsubregions @ Y @ Z ) )
     => ( geographicalsubregions @ X @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

thf(33,axiom,
    ! [INS: $i,ARG2: $i] :
      ( ( geographicalsubregions @ INS @ ARG2 )
     => ( geographicalregion @ INS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

thf(34,axiom,
    ! [ARG1: $i,INS: $i] :
      ( ( geographicalsubregions @ ARG1 @ INS )
     => ( geographicalregion @ INS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

thf(53,axiom,
    ( ( mtvisible @ c_tptpgeo_member7_mt )
   => ( geographicalsubregions @ c_georegion_l3_x15_y24 @ c_georegion_l4_x45_y72 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just13) ).

thf(54,axiom,
    ( ( mtvisible @ c_tptpgeo_member7_mt )
   => ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l3_x15_y24 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just12) ).

thf(55,axiom,
    genlmt @ c_tptpgeo_member7_mt @ c_tptpgeo_spindleheadmt,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just11) ).

thf(66,conjecture,
    ( ( mtvisible @ c_tptpgeo_member7_mt )
   => ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query37) ).

thf(67,negated_conjecture,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
     => ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[66]) ).

thf(68,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
     => ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 ) )
    = $false ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(69,plain,
    ( ( mtvisible @ c_basekb )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(70,plain,
    ( ( ! [SPECMT: $i,GENLMT: $i] :
          ( ( ( mtvisible @ SPECMT )
            & ( genlmt @ SPECMT @ GENLMT ) )
         => ( mtvisible @ GENLMT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(71,plain,
    ( ( mtvisible @ c_universalvocabularymt )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(72,plain,
    ( ( ! [X: $i] :
          ( ( geographicalregion @ X )
         => ( geographicalsubregions @ X @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(73,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( geographicalsubregions @ X @ Y )
            & ( geographicalsubregions @ Y @ Z ) )
         => ( geographicalsubregions @ X @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(74,plain,
    ( ( ! [INS: $i,ARG2: $i] :
          ( ( geographicalsubregions @ INS @ ARG2 )
         => ( geographicalregion @ INS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(75,plain,
    ( ( ! [ARG1: $i,INS: $i] :
          ( ( geographicalsubregions @ ARG1 @ INS )
         => ( geographicalregion @ INS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(76,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
     => ( geographicalsubregions @ c_georegion_l3_x15_y24 @ c_georegion_l4_x45_y72 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(77,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
     => ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l3_x15_y24 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(78,plain,
    ( ( genlmt @ c_tptpgeo_member7_mt @ c_tptpgeo_spindleheadmt )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(79,plain,
    ( ( mtvisible @ c_tptpgeo_member7_mt )
    = $true ),
    inference(standard_cnf,[status(thm)],[68]) ).

thf(80,plain,
    ( ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 )
    = $false ),
    inference(standard_cnf,[status(thm)],[68]) ).

thf(81,plain,
    ( ( ~ ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[80]) ).

thf(82,plain,
    ( ( genlmt @ c_tptpgeo_member7_mt @ c_tptpgeo_spindleheadmt )
    = $true ),
    inference(copy,[status(thm)],[78]) ).

thf(83,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
     => ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l3_x15_y24 ) )
    = $true ),
    inference(copy,[status(thm)],[77]) ).

thf(84,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
     => ( geographicalsubregions @ c_georegion_l3_x15_y24 @ c_georegion_l4_x45_y72 ) )
    = $true ),
    inference(copy,[status(thm)],[76]) ).

thf(85,plain,
    ( ( ! [ARG1: $i,INS: $i] :
          ( ( geographicalsubregions @ ARG1 @ INS )
         => ( geographicalregion @ INS ) ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(86,plain,
    ( ( ! [INS: $i,ARG2: $i] :
          ( ( geographicalsubregions @ INS @ ARG2 )
         => ( geographicalregion @ INS ) ) )
    = $true ),
    inference(copy,[status(thm)],[74]) ).

thf(87,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( geographicalsubregions @ X @ Y )
            & ( geographicalsubregions @ Y @ Z ) )
         => ( geographicalsubregions @ X @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(88,plain,
    ( ( ! [X: $i] :
          ( ( geographicalregion @ X )
         => ( geographicalsubregions @ X @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(89,plain,
    ( ( mtvisible @ c_universalvocabularymt )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(90,plain,
    ( ( ! [SPECMT: $i,GENLMT: $i] :
          ( ( ( mtvisible @ SPECMT )
            & ( genlmt @ SPECMT @ GENLMT ) )
         => ( mtvisible @ GENLMT ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(91,plain,
    ( ( mtvisible @ c_basekb )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(92,plain,
    ( ( mtvisible @ c_tptpgeo_member7_mt )
    = $true ),
    inference(copy,[status(thm)],[79]) ).

thf(93,plain,
    ( ( ~ ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 ) )
    = $true ),
    inference(copy,[status(thm)],[81]) ).

thf(94,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( geographicalsubregions @ SX0 @ SX1 )
          | ( geographicalregion @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(95,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( geographicalregion @ SX0 )
          | ( geographicalsubregions @ SX0 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[88]) ).

thf(96,plain,
    ( ( ~ ( mtvisible @ c_tptpgeo_member7_mt )
      | ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l3_x15_y24 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(97,plain,
    ( ( ~ ( mtvisible @ c_tptpgeo_member7_mt )
      | ( geographicalsubregions @ c_georegion_l3_x15_y24 @ c_georegion_l4_x45_y72 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(98,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( geographicalsubregions @ SX0 @ SX1 )
                | ~ ( geographicalsubregions @ SX1 @ SX2 ) )
          | ( geographicalsubregions @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(99,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( mtvisible @ SX0 )
                | ~ ( genlmt @ SX0 @ SX1 ) )
          | ( mtvisible @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(100,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( geographicalsubregions @ SX0 @ SX1 )
          | ( geographicalregion @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(101,plain,
    ( ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l4_x45_y72 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(102,plain,
    ! [SV1: $i] :
      ( ( ! [SY10: $i] :
            ( ~ ( geographicalsubregions @ SV1 @ SY10 )
            | ( geographicalregion @ SV1 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[94]) ).

thf(103,plain,
    ! [SV2: $i] :
      ( ( ~ ( geographicalregion @ SV2 )
        | ( geographicalsubregions @ SV2 @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(104,plain,
    ( ( ( ~ ( mtvisible @ c_tptpgeo_member7_mt ) )
      = $true )
    | ( ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l3_x15_y24 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[96]) ).

thf(105,plain,
    ( ( ( ~ ( mtvisible @ c_tptpgeo_member7_mt ) )
      = $true )
    | ( ( geographicalsubregions @ c_georegion_l3_x15_y24 @ c_georegion_l4_x45_y72 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[97]) ).

thf(106,plain,
    ! [SV3: $i] :
      ( ( ! [SY11: $i,SY12: $i] :
            ( ~ ~ ( ~ ( geographicalsubregions @ SV3 @ SY11 )
                  | ~ ( geographicalsubregions @ SY11 @ SY12 ) )
            | ( geographicalsubregions @ SV3 @ SY12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(107,plain,
    ! [SV4: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ~ ( ~ ( mtvisible @ SV4 )
                  | ~ ( genlmt @ SV4 @ SY13 ) )
            | ( mtvisible @ SY13 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(108,plain,
    ! [SV5: $i] :
      ( ( ! [SY14: $i] :
            ( ~ ( geographicalsubregions @ SV5 @ SY14 )
            | ( geographicalregion @ SY14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(109,plain,
    ! [SV6: $i,SV1: $i] :
      ( ( ~ ( geographicalsubregions @ SV1 @ SV6 )
        | ( geographicalregion @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(110,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( geographicalregion @ SV2 ) )
        = $true )
      | ( ( geographicalsubregions @ SV2 @ SV2 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[103]) ).

thf(111,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
      = $false )
    | ( ( geographicalsubregions @ c_georegion_l2_x5_y8 @ c_georegion_l3_x15_y24 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[104]) ).

thf(112,plain,
    ( ( ( mtvisible @ c_tptpgeo_member7_mt )
      = $false )
    | ( ( geographicalsubregions @ c_georegion_l3_x15_y24 @ c_georegion_l4_x45_y72 )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[105]) ).

thf(113,plain,
    ! [SV7: $i,SV3: $i] :
      ( ( ! [SY15: $i] :
            ( ~ ~ ( ~ ( geographicalsubregions @ SV3 @ SV7 )
                  | ~ ( geographicalsubregions @ SV7 @ SY15 ) )
            | ( geographicalsubregions @ SV3 @ SY15 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(114,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ~ ~ ( ~ ( mtvisible @ SV4 )
              | ~ ( genlmt @ SV4 @ SV8 ) )
        | ( mtvisible @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[107]) ).

thf(115,plain,
    ! [SV9: $i,SV5: $i] :
      ( ( ~ ( geographicalsubregions @ SV5 @ SV9 )
        | ( geographicalregion @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(116,plain,
    ! [SV6: $i,SV1: $i] :
      ( ( ( ~ ( geographicalsubregions @ SV1 @ SV6 ) )
        = $true )
      | ( ( geographicalregion @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[109]) ).

thf(117,plain,
    ! [SV2: $i] :
      ( ( ( geographicalregion @ SV2 )
        = $false )
      | ( ( geographicalsubregions @ SV2 @ SV2 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[110]) ).

thf(118,plain,
    ! [SV10: $i,SV7: $i,SV3: $i] :
      ( ( ~ ~ ( ~ ( geographicalsubregions @ SV3 @ SV7 )
              | ~ ( geographicalsubregions @ SV7 @ SV10 ) )
        | ( geographicalsubregions @ SV3 @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[113]) ).

thf(119,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ~ ( ~ ( mtvisible @ SV4 )
                | ~ ( genlmt @ SV4 @ SV8 ) ) )
        = $true )
      | ( ( mtvisible @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[114]) ).

thf(120,plain,
    ! [SV9: $i,SV5: $i] :
      ( ( ( ~ ( geographicalsubregions @ SV5 @ SV9 ) )
        = $true )
      | ( ( geographicalregion @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[115]) ).

thf(121,plain,
    ! [SV6: $i,SV1: $i] :
      ( ( ( geographicalsubregions @ SV1 @ SV6 )
        = $false )
      | ( ( geographicalregion @ SV1 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[116]) ).

thf(122,plain,
    ! [SV10: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ~ ( ~ ( geographicalsubregions @ SV3 @ SV7 )
                | ~ ( geographicalsubregions @ SV7 @ SV10 ) ) )
        = $true )
      | ( ( geographicalsubregions @ SV3 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(123,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ( ~ ( mtvisible @ SV4 )
              | ~ ( genlmt @ SV4 @ SV8 ) ) )
        = $false )
      | ( ( mtvisible @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[119]) ).

thf(124,plain,
    ! [SV9: $i,SV5: $i] :
      ( ( ( geographicalsubregions @ SV5 @ SV9 )
        = $false )
      | ( ( geographicalregion @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(125,plain,
    ! [SV10: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ( ~ ( geographicalsubregions @ SV3 @ SV7 )
              | ~ ( geographicalsubregions @ SV7 @ SV10 ) ) )
        = $false )
      | ( ( geographicalsubregions @ SV3 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[122]) ).

thf(126,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ( mtvisible @ SV4 )
          | ~ ( genlmt @ SV4 @ SV8 ) )
        = $true )
      | ( ( mtvisible @ SV8 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[123]) ).

thf(127,plain,
    ! [SV10: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ( geographicalsubregions @ SV3 @ SV7 )
          | ~ ( geographicalsubregions @ SV7 @ SV10 ) )
        = $true )
      | ( ( geographicalsubregions @ SV3 @ SV10 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[125]) ).

thf(128,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ( mtvisible @ SV4 ) )
        = $true )
      | ( ( ~ ( genlmt @ SV4 @ SV8 ) )
        = $true )
      | ( ( mtvisible @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[126]) ).

thf(129,plain,
    ! [SV10: $i,SV7: $i,SV3: $i] :
      ( ( ( ~ ( geographicalsubregions @ SV3 @ SV7 ) )
        = $true )
      | ( ( ~ ( geographicalsubregions @ SV7 @ SV10 ) )
        = $true )
      | ( ( geographicalsubregions @ SV3 @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[127]) ).

thf(130,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( mtvisible @ SV4 )
        = $false )
      | ( ( ~ ( genlmt @ SV4 @ SV8 ) )
        = $true )
      | ( ( mtvisible @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[128]) ).

thf(131,plain,
    ! [SV10: $i,SV7: $i,SV3: $i] :
      ( ( ( geographicalsubregions @ SV3 @ SV7 )
        = $false )
      | ( ( ~ ( geographicalsubregions @ SV7 @ SV10 ) )
        = $true )
      | ( ( geographicalsubregions @ SV3 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[129]) ).

thf(132,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( genlmt @ SV4 @ SV8 )
        = $false )
      | ( ( mtvisible @ SV4 )
        = $false )
      | ( ( mtvisible @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(133,plain,
    ! [SV3: $i,SV10: $i,SV7: $i] :
      ( ( ( geographicalsubregions @ SV7 @ SV10 )
        = $false )
      | ( ( geographicalsubregions @ SV3 @ SV7 )
        = $false )
      | ( ( geographicalsubregions @ SV3 @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(134,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[82,133,132,124,121,117,112,111,101,92,91,89]) ).

thf(135,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[134]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR037+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.05  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.21  % Computer : n026.cluster.edu
% 0.09/0.21  % Model    : x86_64 x86_64
% 0.09/0.21  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.21  % Memory   : 8046.5625MB
% 0.09/0.21  % OS       : Linux 6.8.0-71-generic
% 0.09/0.21  % CPULimit : 300
% 0.09/0.21  % WCLimit  : 300
% 0.09/0.21  % DateTime : Tue Oct  6 18:45:47 UTC 2026
% 0.09/0.21  % CPUTime  : 
% 0.09/0.21  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.45/0.31  
% 0.45/0.31   No.of.Axioms: 10
% 0.45/0.31  
% 0.45/0.31   Length.of.Defs: 0
% 0.45/0.31  
% 0.45/0.31   Contains.Choice.Funs: false
% 0.45/0.31  ..
% 0.45/0.31  
% 0.45/0.31  ********************************
% 0.45/0.31  *   All subproblems solved!    *
% 0.45/0.31  ********************************
% 0.45/0.31  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:11,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:134,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.45/0.31  
% 0.45/0.31  %**** Beginning of derivation protocol ****
% 0.45/0.31  % SZS output start CNFRefutation
% See solution above
% 0.45/0.31  
% 0.45/0.31  %**** End of derivation protocol ****
% 0.45/0.31  %**** no. of clauses in derivation: 80 ****
% 0.45/0.31  %**** clause counter: 134 ****
% 0.45/0.31  
% 0.45/0.31  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:11,ps:0,u:6,ude:true,rLeibEQ:true,rAndEQ:true,use_choice:true,use_extuni:true,use_extcnf_combined:false,expand_extuni:false,foatp:e,atp_timeout:299,atp_calls_frequency:5,ordering:none,proof_output:1,protocol_output:false,clause_count:134,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------