↑ Up

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

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : LEO-II---2.3.1
% Problem  : CSR025+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 : 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 10:12:53 AM UTC 2026

% Result   : Theorem 0.11s 0.28s
% Output   : CNFRefutation 0.11s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   14
%            Number of leaves      :   17
% Syntax   : Number of formulae    :  156 (  88 unt;   0 typ;   0 def)
%            Number of atoms       :  811 ( 213 equ;   0 cnn)
%            Maximal formula atoms :    3 (   5 avg)
%            Number of connectives : 1130 ( 216   ~; 166   |;  21   &; 685   @)
%                                         (   0 <=>;  42  =>;   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     :   25 (  22 usr;   9 con; 0-2 aty)
%            Number of variables   :  336 (   0   ^; 336   !;   0   ?; 336   :)

% 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_patterndetectormt,type,
    c_patterndetectormt: $i ).

thf(tp_c_tptpcol_15_130931,type,
    c_tptpcol_15_130931: $i ).

thf(tp_c_tptpcol_16_130933,type,
    c_tptpcol_16_130933: $i ).

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

thf(tp_c_universalvocabularymt,type,
    c_universalvocabularymt: $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_isa,type,
    isa: $i > $i > $o ).

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

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

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

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

thf(tp_tptpcol_15_130931,type,
    tptpcol_15_130931: $i > $o ).

thf(tp_tptpcol_16_130933,type,
    tptpcol_16_130933: $i > $o ).

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

thf(1,axiom,
    mtvisible @ c_universalvocabularymt,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just53) ).

thf(2,axiom,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ( ( isa @ ARG1 @ OLD )
        & ( genls @ OLD @ NEW ) )
     => ( isa @ ARG1 @ NEW ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just52) ).

thf(14,axiom,
    ! [SPECMT: $i,GENLMT: $i] :
      ( ( ( mtvisible @ SPECMT )
        & ( genlmt @ SPECMT @ GENLMT ) )
     => ( mtvisible @ GENLMT ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just40) ).

thf(17,axiom,
    mtvisible @ c_basekb,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just37) ).

thf(18,axiom,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ( ( genls @ ARG1 @ OLD )
        & ( genls @ OLD @ NEW ) )
     => ( genls @ ARG1 @ NEW ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just36) ).

thf(19,axiom,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( ( ( genls @ OLD @ ARG2 )
        & ( genls @ NEW @ OLD ) )
     => ( genls @ NEW @ ARG2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just35) ).

thf(20,axiom,
    ! [X: $i] :
      ( ( collection @ X )
     => ( genls @ X @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just34) ).

thf(21,axiom,
    ! [X: $i] :
      ( ( collection @ X )
     => ( genls @ X @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just33) ).

thf(22,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ( ( genls @ X @ Y )
        & ( genls @ Y @ Z ) )
     => ( genls @ X @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just32) ).

thf(23,axiom,
    ! [INS: $i,ARG2: $i] :
      ( ( genls @ INS @ ARG2 )
     => ( collection @ INS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just31) ).

thf(24,axiom,
    ! [INS: $i,ARG2: $i] :
      ( ( genls @ INS @ ARG2 )
     => ( collection @ INS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just30) ).

thf(25,axiom,
    ! [ARG1: $i,INS: $i] :
      ( ( genls @ ARG1 @ INS )
     => ( collection @ INS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just29) ).

thf(26,axiom,
    ! [ARG1: $i,INS: $i] :
      ( ( genls @ ARG1 @ INS )
     => ( collection @ INS ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just28) ).

thf(31,axiom,
    ! [OLD: $i,ARG2: $i,NEW: $i] :
      ( ( ( disjointwith @ OLD @ ARG2 )
        & ( genls @ NEW @ OLD ) )
     => ( disjointwith @ NEW @ ARG2 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just23) ).

thf(32,axiom,
    ! [ARG1: $i,OLD: $i,NEW: $i] :
      ( ( ( disjointwith @ ARG1 @ OLD )
        & ( genls @ NEW @ OLD ) )
     => ( disjointwith @ ARG1 @ NEW ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just22) ).

thf(50,axiom,
    genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',just4) ).

thf(54,conjecture,
    ( ( mtvisible @ c_patterndetectormt )
   => ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query25) ).

thf(55,negated_conjecture,
    ( ( ( mtvisible @ c_patterndetectormt )
     => ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 ) )
    = $false ),
    inference(negate_conjecture,[status(cth)],[54]) ).

thf(56,plain,
    ( ( ( mtvisible @ c_patterndetectormt )
     => ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 ) )
    = $false ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(57,plain,
    ( ( mtvisible @ c_universalvocabularymt )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(58,plain,
    ( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( ( ( isa @ ARG1 @ OLD )
            & ( genls @ OLD @ NEW ) )
         => ( isa @ ARG1 @ NEW ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(59,plain,
    ( ( ! [SPECMT: $i,GENLMT: $i] :
          ( ( ( mtvisible @ SPECMT )
            & ( genlmt @ SPECMT @ GENLMT ) )
         => ( mtvisible @ GENLMT ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(60,plain,
    ( ( mtvisible @ c_basekb )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(61,plain,
    ( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( ( ( genls @ ARG1 @ OLD )
            & ( genls @ OLD @ NEW ) )
         => ( genls @ ARG1 @ NEW ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(62,plain,
    ( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( ( ( genls @ OLD @ ARG2 )
            & ( genls @ NEW @ OLD ) )
         => ( genls @ NEW @ ARG2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(63,plain,
    ( ( ! [X: $i] :
          ( ( collection @ X )
         => ( genls @ X @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(64,plain,
    ( ( ! [X: $i] :
          ( ( collection @ X )
         => ( genls @ X @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(65,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( genls @ X @ Y )
            & ( genls @ Y @ Z ) )
         => ( genls @ X @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(66,plain,
    ( ( ! [INS: $i,ARG2: $i] :
          ( ( genls @ INS @ ARG2 )
         => ( collection @ INS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(67,plain,
    ( ( ! [INS: $i,ARG2: $i] :
          ( ( genls @ INS @ ARG2 )
         => ( collection @ INS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(68,plain,
    ( ( ! [ARG1: $i,INS: $i] :
          ( ( genls @ ARG1 @ INS )
         => ( collection @ INS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(69,plain,
    ( ( ! [ARG1: $i,INS: $i] :
          ( ( genls @ ARG1 @ INS )
         => ( collection @ INS ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(70,plain,
    ( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( ( ( disjointwith @ OLD @ ARG2 )
            & ( genls @ NEW @ OLD ) )
         => ( disjointwith @ NEW @ ARG2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(71,plain,
    ( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( ( ( disjointwith @ ARG1 @ OLD )
            & ( genls @ NEW @ OLD ) )
         => ( disjointwith @ ARG1 @ NEW ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(72,plain,
    ( ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(73,plain,
    ( ( mtvisible @ c_patterndetectormt )
    = $true ),
    inference(standard_cnf,[status(thm)],[56]) ).

thf(74,plain,
    ( ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 )
    = $false ),
    inference(standard_cnf,[status(thm)],[56]) ).

thf(75,plain,
    ( ( ~ ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 ) )
    = $true ),
    inference(polarity_switch,[status(thm)],[74]) ).

thf(76,plain,
    ( ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 )
    = $true ),
    inference(copy,[status(thm)],[72]) ).

thf(77,plain,
    ( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( ( ( disjointwith @ ARG1 @ OLD )
            & ( genls @ NEW @ OLD ) )
         => ( disjointwith @ ARG1 @ NEW ) ) )
    = $true ),
    inference(copy,[status(thm)],[71]) ).

thf(78,plain,
    ( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( ( ( disjointwith @ OLD @ ARG2 )
            & ( genls @ NEW @ OLD ) )
         => ( disjointwith @ NEW @ ARG2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[70]) ).

thf(79,plain,
    ( ( ! [ARG1: $i,INS: $i] :
          ( ( genls @ ARG1 @ INS )
         => ( collection @ INS ) ) )
    = $true ),
    inference(copy,[status(thm)],[69]) ).

thf(80,plain,
    ( ( ! [ARG1: $i,INS: $i] :
          ( ( genls @ ARG1 @ INS )
         => ( collection @ INS ) ) )
    = $true ),
    inference(copy,[status(thm)],[68]) ).

thf(81,plain,
    ( ( ! [INS: $i,ARG2: $i] :
          ( ( genls @ INS @ ARG2 )
         => ( collection @ INS ) ) )
    = $true ),
    inference(copy,[status(thm)],[67]) ).

thf(82,plain,
    ( ( ! [INS: $i,ARG2: $i] :
          ( ( genls @ INS @ ARG2 )
         => ( collection @ INS ) ) )
    = $true ),
    inference(copy,[status(thm)],[66]) ).

thf(83,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ( ( genls @ X @ Y )
            & ( genls @ Y @ Z ) )
         => ( genls @ X @ Z ) ) )
    = $true ),
    inference(copy,[status(thm)],[65]) ).

thf(84,plain,
    ( ( ! [X: $i] :
          ( ( collection @ X )
         => ( genls @ X @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[64]) ).

thf(85,plain,
    ( ( ! [X: $i] :
          ( ( collection @ X )
         => ( genls @ X @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[63]) ).

thf(86,plain,
    ( ( ! [OLD: $i,ARG2: $i,NEW: $i] :
          ( ( ( genls @ OLD @ ARG2 )
            & ( genls @ NEW @ OLD ) )
         => ( genls @ NEW @ ARG2 ) ) )
    = $true ),
    inference(copy,[status(thm)],[62]) ).

thf(87,plain,
    ( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( ( ( genls @ ARG1 @ OLD )
            & ( genls @ OLD @ NEW ) )
         => ( genls @ ARG1 @ NEW ) ) )
    = $true ),
    inference(copy,[status(thm)],[61]) ).

thf(88,plain,
    ( ( mtvisible @ c_basekb )
    = $true ),
    inference(copy,[status(thm)],[60]) ).

thf(89,plain,
    ( ( ! [SPECMT: $i,GENLMT: $i] :
          ( ( ( mtvisible @ SPECMT )
            & ( genlmt @ SPECMT @ GENLMT ) )
         => ( mtvisible @ GENLMT ) ) )
    = $true ),
    inference(copy,[status(thm)],[59]) ).

thf(90,plain,
    ( ( ! [ARG1: $i,OLD: $i,NEW: $i] :
          ( ( ( isa @ ARG1 @ OLD )
            & ( genls @ OLD @ NEW ) )
         => ( isa @ ARG1 @ NEW ) ) )
    = $true ),
    inference(copy,[status(thm)],[58]) ).

thf(91,plain,
    ( ( mtvisible @ c_universalvocabularymt )
    = $true ),
    inference(copy,[status(thm)],[57]) ).

thf(92,plain,
    ( ( mtvisible @ c_patterndetectormt )
    = $true ),
    inference(copy,[status(thm)],[73]) ).

thf(93,plain,
    ( ( ~ ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 ) )
    = $true ),
    inference(copy,[status(thm)],[75]) ).

thf(94,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( genls @ SX0 @ SX1 )
                | ~ ( genls @ SX2 @ SX0 ) )
          | ( genls @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[86]) ).

thf(95,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( genls @ SX0 @ SX1 )
                | ~ ( genls @ SX1 @ SX2 ) )
          | ( genls @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[83]) ).

thf(96,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( collection @ SX0 )
          | ( genls @ SX0 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(97,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( genls @ SX0 @ SX1 )
                | ~ ( genls @ SX1 @ SX2 ) )
          | ( genls @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[87]) ).

thf(98,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( isa @ SX0 @ SX1 )
                | ~ ( genls @ SX1 @ SX2 ) )
          | ( isa @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[90]) ).

thf(99,plain,
    ( ( ! [SX0: $i] :
          ( ~ ( collection @ SX0 )
          | ( genls @ SX0 @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[85]) ).

thf(100,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( disjointwith @ SX0 @ SX1 )
                | ~ ( genls @ SX2 @ SX1 ) )
          | ( disjointwith @ SX0 @ SX2 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(101,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( genls @ SX0 @ SX1 )
          | ( collection @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(102,plain,
    ( ( ! [SX0: $i,SX1: $i,SX2: $i] :
          ( ~ ~ ( ~ ( disjointwith @ SX0 @ SX1 )
                | ~ ( genls @ SX2 @ SX0 ) )
          | ( disjointwith @ SX2 @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(103,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( genls @ SX0 @ SX1 )
          | ( collection @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(104,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ~ ( ~ ( mtvisible @ SX0 )
                | ~ ( genlmt @ SX0 @ SX1 ) )
          | ( mtvisible @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[89]) ).

thf(105,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( genls @ SX0 @ SX1 )
          | ( collection @ SX0 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[82]) ).

thf(106,plain,
    ( ( ! [SX0: $i,SX1: $i] :
          ( ~ ( genls @ SX0 @ SX1 )
          | ( collection @ SX1 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(107,plain,
    ( ( genls @ c_tptpcol_16_130933 @ c_tptpcol_15_130931 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[93]) ).

thf(108,plain,
    ! [SV1: $i] :
      ( ( ! [SY30: $i,SY31: $i] :
            ( ~ ~ ( ~ ( genls @ SV1 @ SY30 )
                  | ~ ( genls @ SY31 @ SV1 ) )
            | ( genls @ SY31 @ SY30 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[94]) ).

thf(109,plain,
    ! [SV2: $i] :
      ( ( ! [SY32: $i,SY33: $i] :
            ( ~ ~ ( ~ ( genls @ SV2 @ SY32 )
                  | ~ ( genls @ SY32 @ SY33 ) )
            | ( genls @ SV2 @ SY33 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[95]) ).

thf(110,plain,
    ! [SV3: $i] :
      ( ( ~ ( collection @ SV3 )
        | ( genls @ SV3 @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[96]) ).

thf(111,plain,
    ! [SV4: $i] :
      ( ( ! [SY34: $i,SY35: $i] :
            ( ~ ~ ( ~ ( genls @ SV4 @ SY34 )
                  | ~ ( genls @ SY34 @ SY35 ) )
            | ( genls @ SV4 @ SY35 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[97]) ).

thf(112,plain,
    ! [SV5: $i] :
      ( ( ! [SY36: $i,SY37: $i] :
            ( ~ ~ ( ~ ( isa @ SV5 @ SY36 )
                  | ~ ( genls @ SY36 @ SY37 ) )
            | ( isa @ SV5 @ SY37 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[98]) ).

thf(113,plain,
    ! [SV6: $i] :
      ( ( ~ ( collection @ SV6 )
        | ( genls @ SV6 @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[99]) ).

thf(114,plain,
    ! [SV7: $i] :
      ( ( ! [SY38: $i,SY39: $i] :
            ( ~ ~ ( ~ ( disjointwith @ SV7 @ SY38 )
                  | ~ ( genls @ SY39 @ SY38 ) )
            | ( disjointwith @ SV7 @ SY39 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(115,plain,
    ! [SV8: $i] :
      ( ( ! [SY40: $i] :
            ( ~ ( genls @ SV8 @ SY40 )
            | ( collection @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[101]) ).

thf(116,plain,
    ! [SV9: $i] :
      ( ( ! [SY41: $i,SY42: $i] :
            ( ~ ~ ( ~ ( disjointwith @ SV9 @ SY41 )
                  | ~ ( genls @ SY42 @ SV9 ) )
            | ( disjointwith @ SY42 @ SY41 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[102]) ).

thf(117,plain,
    ! [SV10: $i] :
      ( ( ! [SY43: $i] :
            ( ~ ( genls @ SV10 @ SY43 )
            | ( collection @ SY43 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[103]) ).

thf(118,plain,
    ! [SV11: $i] :
      ( ( ! [SY44: $i] :
            ( ~ ~ ( ~ ( mtvisible @ SV11 )
                  | ~ ( genlmt @ SV11 @ SY44 ) )
            | ( mtvisible @ SY44 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[104]) ).

thf(119,plain,
    ! [SV12: $i] :
      ( ( ! [SY45: $i] :
            ( ~ ( genls @ SV12 @ SY45 )
            | ( collection @ SV12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[105]) ).

thf(120,plain,
    ! [SV13: $i] :
      ( ( ! [SY46: $i] :
            ( ~ ( genls @ SV13 @ SY46 )
            | ( collection @ SY46 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[106]) ).

thf(121,plain,
    ! [SV14: $i,SV1: $i] :
      ( ( ! [SY47: $i] :
            ( ~ ~ ( ~ ( genls @ SV1 @ SV14 )
                  | ~ ( genls @ SY47 @ SV1 ) )
            | ( genls @ SY47 @ SV14 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[108]) ).

thf(122,plain,
    ! [SV15: $i,SV2: $i] :
      ( ( ! [SY48: $i] :
            ( ~ ~ ( ~ ( genls @ SV2 @ SV15 )
                  | ~ ( genls @ SV15 @ SY48 ) )
            | ( genls @ SV2 @ SY48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[109]) ).

thf(123,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( collection @ SV3 ) )
        = $true )
      | ( ( genls @ SV3 @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[110]) ).

thf(124,plain,
    ! [SV16: $i,SV4: $i] :
      ( ( ! [SY49: $i] :
            ( ~ ~ ( ~ ( genls @ SV4 @ SV16 )
                  | ~ ( genls @ SV16 @ SY49 ) )
            | ( genls @ SV4 @ SY49 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[111]) ).

thf(125,plain,
    ! [SV17: $i,SV5: $i] :
      ( ( ! [SY50: $i] :
            ( ~ ~ ( ~ ( isa @ SV5 @ SV17 )
                  | ~ ( genls @ SV17 @ SY50 ) )
            | ( isa @ SV5 @ SY50 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[112]) ).

thf(126,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( collection @ SV6 ) )
        = $true )
      | ( ( genls @ SV6 @ SV6 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[113]) ).

thf(127,plain,
    ! [SV18: $i,SV7: $i] :
      ( ( ! [SY51: $i] :
            ( ~ ~ ( ~ ( disjointwith @ SV7 @ SV18 )
                  | ~ ( genls @ SY51 @ SV18 ) )
            | ( disjointwith @ SV7 @ SY51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[114]) ).

thf(128,plain,
    ! [SV19: $i,SV8: $i] :
      ( ( ~ ( genls @ SV8 @ SV19 )
        | ( collection @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[115]) ).

thf(129,plain,
    ! [SV20: $i,SV9: $i] :
      ( ( ! [SY52: $i] :
            ( ~ ~ ( ~ ( disjointwith @ SV9 @ SV20 )
                  | ~ ( genls @ SY52 @ SV9 ) )
            | ( disjointwith @ SY52 @ SV20 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(130,plain,
    ! [SV21: $i,SV10: $i] :
      ( ( ~ ( genls @ SV10 @ SV21 )
        | ( collection @ SV21 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[117]) ).

thf(131,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ~ ~ ( ~ ( mtvisible @ SV11 )
              | ~ ( genlmt @ SV11 @ SV22 ) )
        | ( mtvisible @ SV22 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[118]) ).

thf(132,plain,
    ! [SV23: $i,SV12: $i] :
      ( ( ~ ( genls @ SV12 @ SV23 )
        | ( collection @ SV12 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[119]) ).

thf(133,plain,
    ! [SV24: $i,SV13: $i] :
      ( ( ~ ( genls @ SV13 @ SV24 )
        | ( collection @ SV24 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[120]) ).

thf(134,plain,
    ! [SV25: $i,SV14: $i,SV1: $i] :
      ( ( ~ ~ ( ~ ( genls @ SV1 @ SV14 )
              | ~ ( genls @ SV25 @ SV1 ) )
        | ( genls @ SV25 @ SV14 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[121]) ).

thf(135,plain,
    ! [SV26: $i,SV15: $i,SV2: $i] :
      ( ( ~ ~ ( ~ ( genls @ SV2 @ SV15 )
              | ~ ( genls @ SV15 @ SV26 ) )
        | ( genls @ SV2 @ SV26 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[122]) ).

thf(136,plain,
    ! [SV3: $i] :
      ( ( ( collection @ SV3 )
        = $false )
      | ( ( genls @ SV3 @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[123]) ).

thf(137,plain,
    ! [SV27: $i,SV16: $i,SV4: $i] :
      ( ( ~ ~ ( ~ ( genls @ SV4 @ SV16 )
              | ~ ( genls @ SV16 @ SV27 ) )
        | ( genls @ SV4 @ SV27 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[124]) ).

thf(138,plain,
    ! [SV28: $i,SV17: $i,SV5: $i] :
      ( ( ~ ~ ( ~ ( isa @ SV5 @ SV17 )
              | ~ ( genls @ SV17 @ SV28 ) )
        | ( isa @ SV5 @ SV28 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[125]) ).

thf(139,plain,
    ! [SV6: $i] :
      ( ( ( collection @ SV6 )
        = $false )
      | ( ( genls @ SV6 @ SV6 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(140,plain,
    ! [SV29: $i,SV18: $i,SV7: $i] :
      ( ( ~ ~ ( ~ ( disjointwith @ SV7 @ SV18 )
              | ~ ( genls @ SV29 @ SV18 ) )
        | ( disjointwith @ SV7 @ SV29 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[127]) ).

thf(141,plain,
    ! [SV19: $i,SV8: $i] :
      ( ( ( ~ ( genls @ SV8 @ SV19 ) )
        = $true )
      | ( ( collection @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(142,plain,
    ! [SV30: $i,SV20: $i,SV9: $i] :
      ( ( ~ ~ ( ~ ( disjointwith @ SV9 @ SV20 )
              | ~ ( genls @ SV30 @ SV9 ) )
        | ( disjointwith @ SV30 @ SV20 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[129]) ).

thf(143,plain,
    ! [SV21: $i,SV10: $i] :
      ( ( ( ~ ( genls @ SV10 @ SV21 ) )
        = $true )
      | ( ( collection @ SV21 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[130]) ).

thf(144,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ( ~ ~ ( ~ ( mtvisible @ SV11 )
                | ~ ( genlmt @ SV11 @ SV22 ) ) )
        = $true )
      | ( ( mtvisible @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[131]) ).

thf(145,plain,
    ! [SV23: $i,SV12: $i] :
      ( ( ( ~ ( genls @ SV12 @ SV23 ) )
        = $true )
      | ( ( collection @ SV12 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[132]) ).

thf(146,plain,
    ! [SV24: $i,SV13: $i] :
      ( ( ( ~ ( genls @ SV13 @ SV24 ) )
        = $true )
      | ( ( collection @ SV24 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[133]) ).

thf(147,plain,
    ! [SV25: $i,SV14: $i,SV1: $i] :
      ( ( ( ~ ~ ( ~ ( genls @ SV1 @ SV14 )
                | ~ ( genls @ SV25 @ SV1 ) ) )
        = $true )
      | ( ( genls @ SV25 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[134]) ).

thf(148,plain,
    ! [SV26: $i,SV15: $i,SV2: $i] :
      ( ( ( ~ ~ ( ~ ( genls @ SV2 @ SV15 )
                | ~ ( genls @ SV15 @ SV26 ) ) )
        = $true )
      | ( ( genls @ SV2 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[135]) ).

thf(149,plain,
    ! [SV27: $i,SV16: $i,SV4: $i] :
      ( ( ( ~ ~ ( ~ ( genls @ SV4 @ SV16 )
                | ~ ( genls @ SV16 @ SV27 ) ) )
        = $true )
      | ( ( genls @ SV4 @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[137]) ).

thf(150,plain,
    ! [SV28: $i,SV17: $i,SV5: $i] :
      ( ( ( ~ ~ ( ~ ( isa @ SV5 @ SV17 )
                | ~ ( genls @ SV17 @ SV28 ) ) )
        = $true )
      | ( ( isa @ SV5 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[138]) ).

thf(151,plain,
    ! [SV29: $i,SV18: $i,SV7: $i] :
      ( ( ( ~ ~ ( ~ ( disjointwith @ SV7 @ SV18 )
                | ~ ( genls @ SV29 @ SV18 ) ) )
        = $true )
      | ( ( disjointwith @ SV7 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[140]) ).

thf(152,plain,
    ! [SV19: $i,SV8: $i] :
      ( ( ( genls @ SV8 @ SV19 )
        = $false )
      | ( ( collection @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[141]) ).

thf(153,plain,
    ! [SV30: $i,SV20: $i,SV9: $i] :
      ( ( ( ~ ~ ( ~ ( disjointwith @ SV9 @ SV20 )
                | ~ ( genls @ SV30 @ SV9 ) ) )
        = $true )
      | ( ( disjointwith @ SV30 @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[142]) ).

thf(154,plain,
    ! [SV21: $i,SV10: $i] :
      ( ( ( genls @ SV10 @ SV21 )
        = $false )
      | ( ( collection @ SV21 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[143]) ).

thf(155,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ( ~ ( ~ ( mtvisible @ SV11 )
              | ~ ( genlmt @ SV11 @ SV22 ) ) )
        = $false )
      | ( ( mtvisible @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[144]) ).

thf(156,plain,
    ! [SV23: $i,SV12: $i] :
      ( ( ( genls @ SV12 @ SV23 )
        = $false )
      | ( ( collection @ SV12 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[145]) ).

thf(157,plain,
    ! [SV24: $i,SV13: $i] :
      ( ( ( genls @ SV13 @ SV24 )
        = $false )
      | ( ( collection @ SV24 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[146]) ).

thf(158,plain,
    ! [SV25: $i,SV14: $i,SV1: $i] :
      ( ( ( ~ ( ~ ( genls @ SV1 @ SV14 )
              | ~ ( genls @ SV25 @ SV1 ) ) )
        = $false )
      | ( ( genls @ SV25 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[147]) ).

thf(159,plain,
    ! [SV26: $i,SV15: $i,SV2: $i] :
      ( ( ( ~ ( ~ ( genls @ SV2 @ SV15 )
              | ~ ( genls @ SV15 @ SV26 ) ) )
        = $false )
      | ( ( genls @ SV2 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[148]) ).

thf(160,plain,
    ! [SV27: $i,SV16: $i,SV4: $i] :
      ( ( ( ~ ( ~ ( genls @ SV4 @ SV16 )
              | ~ ( genls @ SV16 @ SV27 ) ) )
        = $false )
      | ( ( genls @ SV4 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[149]) ).

thf(161,plain,
    ! [SV28: $i,SV17: $i,SV5: $i] :
      ( ( ( ~ ( ~ ( isa @ SV5 @ SV17 )
              | ~ ( genls @ SV17 @ SV28 ) ) )
        = $false )
      | ( ( isa @ SV5 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[150]) ).

thf(162,plain,
    ! [SV29: $i,SV18: $i,SV7: $i] :
      ( ( ( ~ ( ~ ( disjointwith @ SV7 @ SV18 )
              | ~ ( genls @ SV29 @ SV18 ) ) )
        = $false )
      | ( ( disjointwith @ SV7 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[151]) ).

thf(163,plain,
    ! [SV30: $i,SV20: $i,SV9: $i] :
      ( ( ( ~ ( ~ ( disjointwith @ SV9 @ SV20 )
              | ~ ( genls @ SV30 @ SV9 ) ) )
        = $false )
      | ( ( disjointwith @ SV30 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[153]) ).

thf(164,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ( ~ ( mtvisible @ SV11 )
          | ~ ( genlmt @ SV11 @ SV22 ) )
        = $true )
      | ( ( mtvisible @ SV22 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[155]) ).

thf(165,plain,
    ! [SV25: $i,SV14: $i,SV1: $i] :
      ( ( ( ~ ( genls @ SV1 @ SV14 )
          | ~ ( genls @ SV25 @ SV1 ) )
        = $true )
      | ( ( genls @ SV25 @ SV14 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[158]) ).

thf(166,plain,
    ! [SV26: $i,SV15: $i,SV2: $i] :
      ( ( ( ~ ( genls @ SV2 @ SV15 )
          | ~ ( genls @ SV15 @ SV26 ) )
        = $true )
      | ( ( genls @ SV2 @ SV26 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[159]) ).

thf(167,plain,
    ! [SV27: $i,SV16: $i,SV4: $i] :
      ( ( ( ~ ( genls @ SV4 @ SV16 )
          | ~ ( genls @ SV16 @ SV27 ) )
        = $true )
      | ( ( genls @ SV4 @ SV27 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[160]) ).

thf(168,plain,
    ! [SV28: $i,SV17: $i,SV5: $i] :
      ( ( ( ~ ( isa @ SV5 @ SV17 )
          | ~ ( genls @ SV17 @ SV28 ) )
        = $true )
      | ( ( isa @ SV5 @ SV28 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[161]) ).

thf(169,plain,
    ! [SV29: $i,SV18: $i,SV7: $i] :
      ( ( ( ~ ( disjointwith @ SV7 @ SV18 )
          | ~ ( genls @ SV29 @ SV18 ) )
        = $true )
      | ( ( disjointwith @ SV7 @ SV29 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[162]) ).

thf(170,plain,
    ! [SV30: $i,SV20: $i,SV9: $i] :
      ( ( ( ~ ( disjointwith @ SV9 @ SV20 )
          | ~ ( genls @ SV30 @ SV9 ) )
        = $true )
      | ( ( disjointwith @ SV30 @ SV20 )
        = $true ) ),
    inference(extcnf_not_neg,[status(thm)],[163]) ).

thf(171,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ( ~ ( mtvisible @ SV11 ) )
        = $true )
      | ( ( ~ ( genlmt @ SV11 @ SV22 ) )
        = $true )
      | ( ( mtvisible @ SV22 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[164]) ).

thf(172,plain,
    ! [SV25: $i,SV14: $i,SV1: $i] :
      ( ( ( ~ ( genls @ SV1 @ SV14 ) )
        = $true )
      | ( ( ~ ( genls @ SV25 @ SV1 ) )
        = $true )
      | ( ( genls @ SV25 @ SV14 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[165]) ).

thf(173,plain,
    ! [SV26: $i,SV15: $i,SV2: $i] :
      ( ( ( ~ ( genls @ SV2 @ SV15 ) )
        = $true )
      | ( ( ~ ( genls @ SV15 @ SV26 ) )
        = $true )
      | ( ( genls @ SV2 @ SV26 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[166]) ).

thf(174,plain,
    ! [SV27: $i,SV16: $i,SV4: $i] :
      ( ( ( ~ ( genls @ SV4 @ SV16 ) )
        = $true )
      | ( ( ~ ( genls @ SV16 @ SV27 ) )
        = $true )
      | ( ( genls @ SV4 @ SV27 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[167]) ).

thf(175,plain,
    ! [SV28: $i,SV17: $i,SV5: $i] :
      ( ( ( ~ ( isa @ SV5 @ SV17 ) )
        = $true )
      | ( ( ~ ( genls @ SV17 @ SV28 ) )
        = $true )
      | ( ( isa @ SV5 @ SV28 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[168]) ).

thf(176,plain,
    ! [SV29: $i,SV18: $i,SV7: $i] :
      ( ( ( ~ ( disjointwith @ SV7 @ SV18 ) )
        = $true )
      | ( ( ~ ( genls @ SV29 @ SV18 ) )
        = $true )
      | ( ( disjointwith @ SV7 @ SV29 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[169]) ).

thf(177,plain,
    ! [SV30: $i,SV20: $i,SV9: $i] :
      ( ( ( ~ ( disjointwith @ SV9 @ SV20 ) )
        = $true )
      | ( ( ~ ( genls @ SV30 @ SV9 ) )
        = $true )
      | ( ( disjointwith @ SV30 @ SV20 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[170]) ).

thf(178,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ( mtvisible @ SV11 )
        = $false )
      | ( ( ~ ( genlmt @ SV11 @ SV22 ) )
        = $true )
      | ( ( mtvisible @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[171]) ).

thf(179,plain,
    ! [SV25: $i,SV14: $i,SV1: $i] :
      ( ( ( genls @ SV1 @ SV14 )
        = $false )
      | ( ( ~ ( genls @ SV25 @ SV1 ) )
        = $true )
      | ( ( genls @ SV25 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[172]) ).

thf(180,plain,
    ! [SV26: $i,SV15: $i,SV2: $i] :
      ( ( ( genls @ SV2 @ SV15 )
        = $false )
      | ( ( ~ ( genls @ SV15 @ SV26 ) )
        = $true )
      | ( ( genls @ SV2 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[173]) ).

thf(181,plain,
    ! [SV27: $i,SV16: $i,SV4: $i] :
      ( ( ( genls @ SV4 @ SV16 )
        = $false )
      | ( ( ~ ( genls @ SV16 @ SV27 ) )
        = $true )
      | ( ( genls @ SV4 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(182,plain,
    ! [SV28: $i,SV17: $i,SV5: $i] :
      ( ( ( isa @ SV5 @ SV17 )
        = $false )
      | ( ( ~ ( genls @ SV17 @ SV28 ) )
        = $true )
      | ( ( isa @ SV5 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[175]) ).

thf(183,plain,
    ! [SV29: $i,SV18: $i,SV7: $i] :
      ( ( ( disjointwith @ SV7 @ SV18 )
        = $false )
      | ( ( ~ ( genls @ SV29 @ SV18 ) )
        = $true )
      | ( ( disjointwith @ SV7 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[176]) ).

thf(184,plain,
    ! [SV30: $i,SV20: $i,SV9: $i] :
      ( ( ( disjointwith @ SV9 @ SV20 )
        = $false )
      | ( ( ~ ( genls @ SV30 @ SV9 ) )
        = $true )
      | ( ( disjointwith @ SV30 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[177]) ).

thf(185,plain,
    ! [SV22: $i,SV11: $i] :
      ( ( ( genlmt @ SV11 @ SV22 )
        = $false )
      | ( ( mtvisible @ SV11 )
        = $false )
      | ( ( mtvisible @ SV22 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[178]) ).

thf(186,plain,
    ! [SV14: $i,SV1: $i,SV25: $i] :
      ( ( ( genls @ SV25 @ SV1 )
        = $false )
      | ( ( genls @ SV1 @ SV14 )
        = $false )
      | ( ( genls @ SV25 @ SV14 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[179]) ).

thf(187,plain,
    ! [SV2: $i,SV26: $i,SV15: $i] :
      ( ( ( genls @ SV15 @ SV26 )
        = $false )
      | ( ( genls @ SV2 @ SV15 )
        = $false )
      | ( ( genls @ SV2 @ SV26 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[180]) ).

thf(188,plain,
    ! [SV4: $i,SV27: $i,SV16: $i] :
      ( ( ( genls @ SV16 @ SV27 )
        = $false )
      | ( ( genls @ SV4 @ SV16 )
        = $false )
      | ( ( genls @ SV4 @ SV27 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[181]) ).

thf(189,plain,
    ! [SV5: $i,SV28: $i,SV17: $i] :
      ( ( ( genls @ SV17 @ SV28 )
        = $false )
      | ( ( isa @ SV5 @ SV17 )
        = $false )
      | ( ( isa @ SV5 @ SV28 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[182]) ).

thf(190,plain,
    ! [SV7: $i,SV18: $i,SV29: $i] :
      ( ( ( genls @ SV29 @ SV18 )
        = $false )
      | ( ( disjointwith @ SV7 @ SV18 )
        = $false )
      | ( ( disjointwith @ SV7 @ SV29 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[183]) ).

thf(191,plain,
    ! [SV20: $i,SV9: $i,SV30: $i] :
      ( ( ( genls @ SV30 @ SV9 )
        = $false )
      | ( ( disjointwith @ SV9 @ SV20 )
        = $false )
      | ( ( disjointwith @ SV30 @ SV20 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[184]) ).

thf(192,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[76,191,190,189,188,187,186,185,157,156,154,152,139,136,107,92,91,88]) ).

thf(193,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[192]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : CSR025+1 : TPTP v9.3.1. Released v3.4.0.
% 0.00/0.04  % Command  : leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.20  % Computer : n018.cluster.edu
% 0.11/0.20  % Model    : x86_64 x86_64
% 0.11/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20  % Memory   : 8046.5625MB
% 0.11/0.20  % OS       : Linux 6.8.0-71-generic
% 0.11/0.20  % CPULimit : 300
% 0.11/0.20  % WCLimit  : 300
% 0.11/0.20  % DateTime : Tue Oct  6 18:42:52 UTC 2026
% 0.11/0.20  % CPUTime  : 
% 0.11/0.20  Running leo --cores 7 --timeout 300 --proofoutput 1 --foatp e --atp e=/export/starexec/sandbox2/solver/bin/eprover /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.11/0.28  
% 0.11/0.28   No.of.Axioms: 16
% 0.11/0.28  
% 0.11/0.28   Length.of.Defs: 0
% 0.11/0.28  
% 0.11/0.28   Contains.Choice.Funs: false
% 0.11/0.28  ....
% 0.11/0.28  
% 0.11/0.28  ********************************
% 0.11/0.28  *   All subproblems solved!    *
% 0.11/0.28  ********************************
% 0.11/0.28  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:17,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:192,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.11/0.28  
% 0.11/0.28  %**** Beginning of derivation protocol ****
% 0.11/0.28  % SZS output start CNFRefutation
% See solution above
% 0.11/0.28  
% 0.11/0.28  %**** End of derivation protocol ****
% 0.11/0.28  %**** no. of clauses in derivation: 156 ****
% 0.11/0.28  %**** clause counter: 192 ****
% 0.11/0.28  
% 0.11/0.28  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:1,axioms:17,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:192,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------