TSTP Solution File: MGT002-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n026.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 600s
% DateTime : Sun Jul 17 22:17:02 EDT 2022

% Result   : Unsatisfiable 0.36s 0.56s
% Output   : CNFRefutation 0.36s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   31
%            Number of leaves      :   25
% Syntax   : Number of formulae    :  146 (  68 unt;  11 typ;   0 def)
%            Number of atoms       : 1589 ( 382 equ;   0 cnn)
%            Maximal formula atoms :   10 (  11 avg)
%            Number of connectives : 3272 ( 461   ~; 690   |;   0   &;2121   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   21 (   7 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   15 (  15   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   14 (  11 usr;   7 con; 0-3 aty)
%            Number of variables   :  650 (   0   ^ 650   !;   0   ?; 650   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_greater,type,
    greater: $i > $i > $o ).

thf(tp_inertia,type,
    inertia: $i > $i > $i > $o ).

thf(tp_organization,type,
    organization: $i > $i > $o ).

thf(tp_reorganization_free,type,
    reorganization_free: $i > $i > $i > $o ).

thf(tp_reproducibility,type,
    reproducibility: $i > $i > $i > $o ).

thf(tp_sk1,type,
    sk1: $i > $i > $i ).

thf(tp_sk2,type,
    sk2: $i ).

thf(tp_sk3,type,
    sk3: $i ).

thf(tp_sk4,type,
    sk4: $i ).

thf(tp_sk5,type,
    sk5: $i ).

thf(tp_sk6,type,
    sk6: $i ).

thf(1,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ~ ( reorganization_free @ A @ B @ C )
      | ( reorganization_free @ A @ C @ C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_3) ).

thf(2,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ~ ( reorganization_free @ A @ B @ C )
      | ( reorganization_free @ A @ B @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp4_2) ).

thf(3,axiom,
    ! [A: $i,B: $i] :
      ( ~ ( organization @ A @ B )
      | ( reproducibility @ A @ ( sk1 @ B @ A ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mp3_1) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ A @ C )
      | ~ ( reorganization_free @ A @ B @ C )
      | ~ ( reproducibility @ A @ D @ B )
      | ~ ( reproducibility @ A @ E @ C )
      | ~ ( greater @ C @ B )
      | ( greater @ E @ D ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a4_FOL_6) ).

thf(5,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ C @ D )
      | ~ ( reorganization_free @ A @ B @ B )
      | ~ ( reorganization_free @ C @ D @ D )
      | ~ ( reproducibility @ A @ E @ B )
      | ~ ( reproducibility @ C @ F @ D )
      | ~ ( inertia @ A @ G @ B )
      | ~ ( inertia @ C @ H @ D )
      | ~ ( greater @ H @ G )
      | ( greater @ F @ E ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_5) ).

thf(6,axiom,
    ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
      ( ~ ( organization @ A @ B )
      | ~ ( organization @ C @ D )
      | ~ ( reorganization_free @ A @ B @ B )
      | ~ ( reorganization_free @ C @ D @ D )
      | ~ ( reproducibility @ A @ E @ B )
      | ~ ( reproducibility @ C @ F @ D )
      | ~ ( inertia @ A @ G @ B )
      | ~ ( inertia @ C @ H @ D )
      | ~ ( greater @ F @ E )
      | ( greater @ H @ G ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a3_FOL_4) ).

thf(7,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(8,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[7]) ).

thf(9,negated_conjecture,
    ~ ( greater @ sk4 @ sk3 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_13) ).

thf(10,negated_conjecture,
    greater @ sk6 @ sk5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_12) ).

thf(11,negated_conjecture,
    inertia @ sk2 @ sk4 @ sk6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_11) ).

thf(12,negated_conjecture,
    inertia @ sk2 @ sk3 @ sk5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_10) ).

thf(13,negated_conjecture,
    reorganization_free @ sk2 @ sk5 @ sk6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_9) ).

thf(14,negated_conjecture,
    organization @ sk2 @ sk6,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_8) ).

thf(15,negated_conjecture,
    organization @ sk2 @ sk5,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_FOL_7) ).

thf(16,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[8]) ).

thf(17,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( reorganization_free @ A @ B @ C )
          | ( reorganization_free @ A @ C @ C ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(18,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( reorganization_free @ A @ B @ C )
          | ( reorganization_free @ A @ B @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(19,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( organization @ A @ B )
          | ( reproducibility @ A @ ( sk1 @ B @ A ) @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(20,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ A @ C )
          | ~ ( reorganization_free @ A @ B @ C )
          | ~ ( reproducibility @ A @ D @ B )
          | ~ ( reproducibility @ A @ E @ C )
          | ~ ( greater @ C @ B )
          | ( greater @ E @ D ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(21,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ C @ D )
          | ~ ( reorganization_free @ A @ B @ B )
          | ~ ( reorganization_free @ C @ D @ D )
          | ~ ( reproducibility @ A @ E @ B )
          | ~ ( reproducibility @ C @ F @ D )
          | ~ ( inertia @ A @ G @ B )
          | ~ ( inertia @ C @ H @ D )
          | ~ ( greater @ H @ G )
          | ( greater @ F @ E ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(22,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i,G: $i,H: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ C @ D )
          | ~ ( reorganization_free @ A @ B @ B )
          | ~ ( reorganization_free @ C @ D @ D )
          | ~ ( reproducibility @ A @ E @ B )
          | ~ ( reproducibility @ C @ F @ D )
          | ~ ( inertia @ A @ G @ B )
          | ~ ( inertia @ C @ H @ D )
          | ~ ( greater @ F @ E )
          | ( greater @ H @ G ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(23,plain,
    ( ( ~ ( greater @ sk4 @ sk3 ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(24,plain,
    ( ( greater @ sk6 @ sk5 )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(25,plain,
    ( ( inertia @ sk2 @ sk4 @ sk6 )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(26,plain,
    ( ( inertia @ sk2 @ sk3 @ sk5 )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(27,plain,
    ( ( reorganization_free @ sk2 @ sk5 @ sk6 )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(28,plain,
    ( ( organization @ sk2 @ sk6 )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(29,plain,
    ( ( organization @ sk2 @ sk5 )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(30,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[16]) ).

thf(31,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [C: $i] :
              ~ ( reorganization_free @ A @ B @ C )
          | ( reorganization_free @ A @ B @ B ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[18]) ).

thf(32,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ A @ C )
          | ~ ( reorganization_free @ A @ B @ C )
          | ! [D: $i] :
              ( ~ ( reproducibility @ A @ D @ B )
              | ! [E: $i] :
                  ( ~ ( reproducibility @ A @ E @ C )
                  | ~ ( greater @ C @ B )
                  | ( greater @ E @ D ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(33,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ C @ D )
          | ~ ( reorganization_free @ A @ B @ B )
          | ~ ( reorganization_free @ C @ D @ D )
          | ~ ( reproducibility @ A @ E @ B )
          | ~ ( reproducibility @ C @ F @ D )
          | ! [G: $i] :
              ( ~ ( inertia @ A @ G @ B )
              | ! [H: $i] :
                  ( ~ ( inertia @ C @ H @ D )
                  | ~ ( greater @ H @ G )
                  | ( greater @ F @ E ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(34,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ C @ D )
          | ~ ( reorganization_free @ A @ B @ B )
          | ~ ( reorganization_free @ C @ D @ D )
          | ~ ( reproducibility @ A @ E @ B )
          | ~ ( reproducibility @ C @ F @ D )
          | ! [G: $i] :
              ( ~ ( inertia @ A @ G @ B )
              | ! [H: $i] :
                  ( ~ ( inertia @ C @ H @ D )
                  | ~ ( greater @ F @ E )
                  | ( greater @ H @ G ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(35,plain,
    ( ( organization @ sk2 @ sk5 )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(36,plain,
    ( ( organization @ sk2 @ sk6 )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(37,plain,
    ( ( reorganization_free @ sk2 @ sk5 @ sk6 )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(38,plain,
    ( ( inertia @ sk2 @ sk3 @ sk5 )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(39,plain,
    ( ( inertia @ sk2 @ sk4 @ sk6 )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(40,plain,
    ( ( greater @ sk6 @ sk5 )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(41,plain,
    ( ( ~ ( greater @ sk4 @ sk3 ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(42,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ C @ D )
          | ~ ( reorganization_free @ A @ B @ B )
          | ~ ( reorganization_free @ C @ D @ D )
          | ~ ( reproducibility @ A @ E @ B )
          | ~ ( reproducibility @ C @ F @ D )
          | ! [G: $i] :
              ( ~ ( inertia @ A @ G @ B )
              | ! [H: $i] :
                  ( ~ ( inertia @ C @ H @ D )
                  | ~ ( greater @ F @ E )
                  | ( greater @ H @ G ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(43,plain,
    ( ( ! [A: $i,B: $i,C: $i,D: $i,E: $i,F: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ C @ D )
          | ~ ( reorganization_free @ A @ B @ B )
          | ~ ( reorganization_free @ C @ D @ D )
          | ~ ( reproducibility @ A @ E @ B )
          | ~ ( reproducibility @ C @ F @ D )
          | ! [G: $i] :
              ( ~ ( inertia @ A @ G @ B )
              | ! [H: $i] :
                  ( ~ ( inertia @ C @ H @ D )
                  | ~ ( greater @ H @ G )
                  | ( greater @ F @ E ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(44,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( organization @ A @ B )
          | ~ ( organization @ A @ C )
          | ~ ( reorganization_free @ A @ B @ C )
          | ! [D: $i] :
              ( ~ ( reproducibility @ A @ D @ B )
              | ! [E: $i] :
                  ( ~ ( reproducibility @ A @ E @ C )
                  | ~ ( greater @ C @ B )
                  | ( greater @ E @ D ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(45,plain,
    ( ( ! [A: $i,B: $i] :
          ( ~ ( organization @ A @ B )
          | ( reproducibility @ A @ ( sk1 @ B @ A ) @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(46,plain,
    ( ( ! [A: $i,B: $i] :
          ( ! [C: $i] :
              ~ ( reorganization_free @ A @ B @ C )
          | ( reorganization_free @ A @ B @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(47,plain,
    ( ( ! [A: $i,B: $i,C: $i] :
          ( ~ ( reorganization_free @ A @ B @ C )
          | ( reorganization_free @ A @ C @ C ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(48,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(49,plain,
    ( ( greater @ sk4 @ sk3 )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[41]) ).

thf(50,plain,
    ! [SV1: $i] :
      ( ( ! [SY29: $i,SY30: $i,SY31: $i,SY32: $i,SY33: $i] :
            ( ~ ( organization @ SV1 @ SY29 )
            | ~ ( organization @ SY30 @ SY31 )
            | ~ ( reorganization_free @ SV1 @ SY29 @ SY29 )
            | ~ ( reorganization_free @ SY30 @ SY31 @ SY31 )
            | ~ ( reproducibility @ SV1 @ SY32 @ SY29 )
            | ~ ( reproducibility @ SY30 @ SY33 @ SY31 )
            | ! [SY34: $i] :
                ( ~ ( inertia @ SV1 @ SY34 @ SY29 )
                | ! [H: $i] :
                    ( ~ ( inertia @ SY30 @ H @ SY31 )
                    | ~ ( greater @ SY33 @ SY32 )
                    | ( greater @ H @ SY34 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(51,plain,
    ! [SV2: $i] :
      ( ( ! [SY36: $i,SY37: $i,SY38: $i,SY39: $i,SY40: $i] :
            ( ~ ( organization @ SV2 @ SY36 )
            | ~ ( organization @ SY37 @ SY38 )
            | ~ ( reorganization_free @ SV2 @ SY36 @ SY36 )
            | ~ ( reorganization_free @ SY37 @ SY38 @ SY38 )
            | ~ ( reproducibility @ SV2 @ SY39 @ SY36 )
            | ~ ( reproducibility @ SY37 @ SY40 @ SY38 )
            | ! [SY41: $i] :
                ( ~ ( inertia @ SV2 @ SY41 @ SY36 )
                | ! [H: $i] :
                    ( ~ ( inertia @ SY37 @ H @ SY38 )
                    | ~ ( greater @ H @ SY41 )
                    | ( greater @ SY40 @ SY39 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(52,plain,
    ! [SV3: $i] :
      ( ( ! [SY43: $i,SY44: $i] :
            ( ~ ( organization @ SV3 @ SY43 )
            | ~ ( organization @ SV3 @ SY44 )
            | ~ ( reorganization_free @ SV3 @ SY43 @ SY44 )
            | ! [SY45: $i] :
                ( ~ ( reproducibility @ SV3 @ SY45 @ SY43 )
                | ! [SY46: $i] :
                    ( ~ ( reproducibility @ SV3 @ SY46 @ SY44 )
                    | ~ ( greater @ SY44 @ SY43 )
                    | ( greater @ SY46 @ SY45 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(53,plain,
    ! [SV4: $i] :
      ( ( ! [SY47: $i] :
            ( ~ ( organization @ SV4 @ SY47 )
            | ( reproducibility @ SV4 @ ( sk1 @ SY47 @ SV4 ) @ SY47 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(54,plain,
    ! [SV5: $i] :
      ( ( ! [SY48: $i] :
            ( ! [SY49: $i] :
                ~ ( reorganization_free @ SV5 @ SY48 @ SY49 )
            | ( reorganization_free @ SV5 @ SY48 @ SY48 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(55,plain,
    ! [SV6: $i] :
      ( ( ! [SY50: $i,SY51: $i] :
            ( ~ ( reorganization_free @ SV6 @ SY50 @ SY51 )
            | ( reorganization_free @ SV6 @ SY51 @ SY51 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(56,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[48]) ).

thf(57,plain,
    ! [SV7: $i,SV1: $i] :
      ( ( ! [SY52: $i,SY53: $i,SY54: $i,SY55: $i] :
            ( ~ ( organization @ SV1 @ SV7 )
            | ~ ( organization @ SY52 @ SY53 )
            | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
            | ~ ( reorganization_free @ SY52 @ SY53 @ SY53 )
            | ~ ( reproducibility @ SV1 @ SY54 @ SV7 )
            | ~ ( reproducibility @ SY52 @ SY55 @ SY53 )
            | ! [SY56: $i] :
                ( ~ ( inertia @ SV1 @ SY56 @ SV7 )
                | ! [H: $i] :
                    ( ~ ( inertia @ SY52 @ H @ SY53 )
                    | ~ ( greater @ SY55 @ SY54 )
                    | ( greater @ H @ SY56 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(58,plain,
    ! [SV8: $i,SV2: $i] :
      ( ( ! [SY58: $i,SY59: $i,SY60: $i,SY61: $i] :
            ( ~ ( organization @ SV2 @ SV8 )
            | ~ ( organization @ SY58 @ SY59 )
            | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
            | ~ ( reorganization_free @ SY58 @ SY59 @ SY59 )
            | ~ ( reproducibility @ SV2 @ SY60 @ SV8 )
            | ~ ( reproducibility @ SY58 @ SY61 @ SY59 )
            | ! [SY62: $i] :
                ( ~ ( inertia @ SV2 @ SY62 @ SV8 )
                | ! [H: $i] :
                    ( ~ ( inertia @ SY58 @ H @ SY59 )
                    | ~ ( greater @ H @ SY62 )
                    | ( greater @ SY61 @ SY60 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(59,plain,
    ! [SV9: $i,SV3: $i] :
      ( ( ! [SY64: $i] :
            ( ~ ( organization @ SV3 @ SV9 )
            | ~ ( organization @ SV3 @ SY64 )
            | ~ ( reorganization_free @ SV3 @ SV9 @ SY64 )
            | ! [SY65: $i] :
                ( ~ ( reproducibility @ SV3 @ SY65 @ SV9 )
                | ! [SY66: $i] :
                    ( ~ ( reproducibility @ SV3 @ SY66 @ SY64 )
                    | ~ ( greater @ SY64 @ SV9 )
                    | ( greater @ SY66 @ SY65 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[52]) ).

thf(60,plain,
    ! [SV10: $i,SV4: $i] :
      ( ( ~ ( organization @ SV4 @ SV10 )
        | ( reproducibility @ SV4 @ ( sk1 @ SV10 @ SV4 ) @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[53]) ).

thf(61,plain,
    ! [SV11: $i,SV5: $i] :
      ( ( ! [SY67: $i] :
            ~ ( reorganization_free @ SV5 @ SV11 @ SY67 )
        | ( reorganization_free @ SV5 @ SV11 @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[54]) ).

thf(62,plain,
    ! [SV12: $i,SV6: $i] :
      ( ( ! [SY68: $i] :
            ( ~ ( reorganization_free @ SV6 @ SV12 @ SY68 )
            | ( reorganization_free @ SV6 @ SY68 @ SY68 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[55]) ).

thf(63,plain,
    ! [SV13: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY69: $i,SY70: $i,SY71: $i] :
            ( ~ ( organization @ SV1 @ SV7 )
            | ~ ( organization @ SV13 @ SY69 )
            | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
            | ~ ( reorganization_free @ SV13 @ SY69 @ SY69 )
            | ~ ( reproducibility @ SV1 @ SY70 @ SV7 )
            | ~ ( reproducibility @ SV13 @ SY71 @ SY69 )
            | ! [SY72: $i] :
                ( ~ ( inertia @ SV1 @ SY72 @ SV7 )
                | ! [SY73: $i] :
                    ( ~ ( inertia @ SV13 @ SY73 @ SY69 )
                    | ~ ( greater @ SY71 @ SY70 )
                    | ( greater @ SY73 @ SY72 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(64,plain,
    ! [SV14: $i,SV8: $i,SV2: $i] :
      ( ( ! [SY74: $i,SY75: $i,SY76: $i] :
            ( ~ ( organization @ SV2 @ SV8 )
            | ~ ( organization @ SV14 @ SY74 )
            | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
            | ~ ( reorganization_free @ SV14 @ SY74 @ SY74 )
            | ~ ( reproducibility @ SV2 @ SY75 @ SV8 )
            | ~ ( reproducibility @ SV14 @ SY76 @ SY74 )
            | ! [SY77: $i] :
                ( ~ ( inertia @ SV2 @ SY77 @ SV8 )
                | ! [SY78: $i] :
                    ( ~ ( inertia @ SV14 @ SY78 @ SY74 )
                    | ~ ( greater @ SY78 @ SY77 )
                    | ( greater @ SY76 @ SY75 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(65,plain,
    ! [SV15: $i,SV9: $i,SV3: $i] :
      ( ( ~ ( organization @ SV3 @ SV9 )
        | ~ ( organization @ SV3 @ SV15 )
        | ~ ( reorganization_free @ SV3 @ SV9 @ SV15 )
        | ! [SY79: $i] :
            ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
            | ! [SY80: $i] :
                ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                | ~ ( greater @ SV15 @ SV9 )
                | ( greater @ SY80 @ SY79 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(66,plain,
    ! [SV10: $i,SV4: $i] :
      ( ( ( ~ ( organization @ SV4 @ SV10 ) )
        = $true )
      | ( ( reproducibility @ SV4 @ ( sk1 @ SV10 @ SV4 ) @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(67,plain,
    ! [SV11: $i,SV5: $i] :
      ( ( ( ! [SY67: $i] :
              ~ ( reorganization_free @ SV5 @ SV11 @ SY67 ) )
        = $true )
      | ( ( reorganization_free @ SV5 @ SV11 @ SV11 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(68,plain,
    ! [SV16: $i,SV12: $i,SV6: $i] :
      ( ( ~ ( reorganization_free @ SV6 @ SV12 @ SV16 )
        | ( reorganization_free @ SV6 @ SV16 @ SV16 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[62]) ).

thf(69,plain,
    ! [SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY81: $i,SY82: $i] :
            ( ~ ( organization @ SV1 @ SV7 )
            | ~ ( organization @ SV13 @ SV17 )
            | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
            | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
            | ~ ( reproducibility @ SV1 @ SY81 @ SV7 )
            | ~ ( reproducibility @ SV13 @ SY82 @ SV17 )
            | ! [SY83: $i] :
                ( ~ ( inertia @ SV1 @ SY83 @ SV7 )
                | ! [SY84: $i] :
                    ( ~ ( inertia @ SV13 @ SY84 @ SV17 )
                    | ~ ( greater @ SY82 @ SY81 )
                    | ( greater @ SY84 @ SY83 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[63]) ).

thf(70,plain,
    ! [SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ! [SY85: $i,SY86: $i] :
            ( ~ ( organization @ SV2 @ SV8 )
            | ~ ( organization @ SV14 @ SV18 )
            | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
            | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
            | ~ ( reproducibility @ SV2 @ SY85 @ SV8 )
            | ~ ( reproducibility @ SV14 @ SY86 @ SV18 )
            | ! [SY87: $i] :
                ( ~ ( inertia @ SV2 @ SY87 @ SV8 )
                | ! [SY88: $i] :
                    ( ~ ( inertia @ SV14 @ SY88 @ SV18 )
                    | ~ ( greater @ SY88 @ SY87 )
                    | ( greater @ SY86 @ SY85 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[64]) ).

thf(71,plain,
    ! [SV15: $i,SV9: $i,SV3: $i] :
      ( ( ( ~ ( organization @ SV3 @ SV9 ) )
        = $true )
      | ( ( ~ ( organization @ SV3 @ SV15 )
          | ~ ( reorganization_free @ SV3 @ SV9 @ SV15 )
          | ! [SY79: $i] :
              ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
              | ! [SY80: $i] :
                  ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                  | ~ ( greater @ SV15 @ SV9 )
                  | ( greater @ SY80 @ SY79 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[65]) ).

thf(72,plain,
    ! [SV10: $i,SV4: $i] :
      ( ( ( organization @ SV4 @ SV10 )
        = $false )
      | ( ( reproducibility @ SV4 @ ( sk1 @ SV10 @ SV4 ) @ SV10 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(73,plain,
    ! [SV19: $i,SV11: $i,SV5: $i] :
      ( ( ( ~ ( reorganization_free @ SV5 @ SV11 @ SV19 ) )
        = $true )
      | ( ( reorganization_free @ SV5 @ SV11 @ SV11 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(74,plain,
    ! [SV16: $i,SV12: $i,SV6: $i] :
      ( ( ( ~ ( reorganization_free @ SV6 @ SV12 @ SV16 ) )
        = $true )
      | ( ( reorganization_free @ SV6 @ SV16 @ SV16 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(75,plain,
    ! [SV20: $i,SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ! [SY89: $i] :
            ( ~ ( organization @ SV1 @ SV7 )
            | ~ ( organization @ SV13 @ SV17 )
            | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
            | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
            | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
            | ~ ( reproducibility @ SV13 @ SY89 @ SV17 )
            | ! [SY90: $i] :
                ( ~ ( inertia @ SV1 @ SY90 @ SV7 )
                | ! [SY91: $i] :
                    ( ~ ( inertia @ SV13 @ SY91 @ SV17 )
                    | ~ ( greater @ SY89 @ SV20 )
                    | ( greater @ SY91 @ SY90 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(76,plain,
    ! [SV21: $i,SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ! [SY92: $i] :
            ( ~ ( organization @ SV2 @ SV8 )
            | ~ ( organization @ SV14 @ SV18 )
            | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
            | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
            | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
            | ~ ( reproducibility @ SV14 @ SY92 @ SV18 )
            | ! [SY93: $i] :
                ( ~ ( inertia @ SV2 @ SY93 @ SV8 )
                | ! [SY94: $i] :
                    ( ~ ( inertia @ SV14 @ SY94 @ SV18 )
                    | ~ ( greater @ SY94 @ SY93 )
                    | ( greater @ SY92 @ SV21 ) ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[70]) ).

thf(77,plain,
    ! [SV15: $i,SV9: $i,SV3: $i] :
      ( ( ( organization @ SV3 @ SV9 )
        = $false )
      | ( ( ~ ( organization @ SV3 @ SV15 )
          | ~ ( reorganization_free @ SV3 @ SV9 @ SV15 )
          | ! [SY79: $i] :
              ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
              | ! [SY80: $i] :
                  ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                  | ~ ( greater @ SV15 @ SV9 )
                  | ( greater @ SY80 @ SY79 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(78,plain,
    ! [SV19: $i,SV11: $i,SV5: $i] :
      ( ( ( reorganization_free @ SV5 @ SV11 @ SV19 )
        = $false )
      | ( ( reorganization_free @ SV5 @ SV11 @ SV11 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(79,plain,
    ! [SV16: $i,SV12: $i,SV6: $i] :
      ( ( ( reorganization_free @ SV6 @ SV12 @ SV16 )
        = $false )
      | ( ( reorganization_free @ SV6 @ SV16 @ SV16 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(80,plain,
    ! [SV22: $i,SV20: $i,SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ~ ( organization @ SV1 @ SV7 )
        | ~ ( organization @ SV13 @ SV17 )
        | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
        | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
        | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
        | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
        | ! [SY95: $i] :
            ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
            | ! [SY96: $i] :
                ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                | ~ ( greater @ SV22 @ SV20 )
                | ( greater @ SY96 @ SY95 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[75]) ).

thf(81,plain,
    ! [SV23: $i,SV21: $i,SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ~ ( organization @ SV2 @ SV8 )
        | ~ ( organization @ SV14 @ SV18 )
        | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
        | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
        | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
        | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
        | ! [SY97: $i] :
            ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
            | ! [SY98: $i] :
                ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                | ~ ( greater @ SY98 @ SY97 )
                | ( greater @ SV23 @ SV21 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[76]) ).

thf(82,plain,
    ! [SV9: $i,SV15: $i,SV3: $i] :
      ( ( ( ~ ( organization @ SV3 @ SV15 ) )
        = $true )
      | ( ( ~ ( reorganization_free @ SV3 @ SV9 @ SV15 )
          | ! [SY79: $i] :
              ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
              | ! [SY80: $i] :
                  ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                  | ~ ( greater @ SV15 @ SV9 )
                  | ( greater @ SY80 @ SY79 ) ) ) )
        = $true )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(83,plain,
    ! [SV22: $i,SV20: $i,SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ( ~ ( organization @ SV1 @ SV7 ) )
        = $true )
      | ( ( ~ ( organization @ SV13 @ SV17 )
          | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
          | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
          | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[80]) ).

thf(84,plain,
    ! [SV23: $i,SV21: $i,SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ( ~ ( organization @ SV2 @ SV8 ) )
        = $true )
      | ( ( ~ ( organization @ SV14 @ SV18 )
          | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
          | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
          | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(85,plain,
    ! [SV9: $i,SV15: $i,SV3: $i] :
      ( ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( ~ ( reorganization_free @ SV3 @ SV9 @ SV15 )
          | ! [SY79: $i] :
              ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
              | ! [SY80: $i] :
                  ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                  | ~ ( greater @ SV15 @ SV9 )
                  | ( greater @ SY80 @ SY79 ) ) ) )
        = $true )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV22: $i,SV20: $i,SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ( organization @ SV1 @ SV7 )
        = $false )
      | ( ( ~ ( organization @ SV13 @ SV17 )
          | ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
          | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
          | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(87,plain,
    ! [SV23: $i,SV21: $i,SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ( organization @ SV2 @ SV8 )
        = $false )
      | ( ( ~ ( organization @ SV14 @ SV18 )
          | ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
          | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
          | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(88,plain,
    ! [SV15: $i,SV9: $i,SV3: $i] :
      ( ( ( ~ ( reorganization_free @ SV3 @ SV9 @ SV15 ) )
        = $true )
      | ( ( ! [SY79: $i] :
              ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
              | ! [SY80: $i] :
                  ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                  | ~ ( greater @ SV15 @ SV9 )
                  | ( greater @ SY80 @ SY79 ) ) ) )
        = $true )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[85]) ).

thf(89,plain,
    ! [SV22: $i,SV20: $i,SV7: $i,SV1: $i,SV17: $i,SV13: $i] :
      ( ( ( ~ ( organization @ SV13 @ SV17 ) )
        = $true )
      | ( ( ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
          | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
          | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[86]) ).

thf(90,plain,
    ! [SV23: $i,SV21: $i,SV8: $i,SV2: $i,SV18: $i,SV14: $i] :
      ( ( ( ~ ( organization @ SV14 @ SV18 ) )
        = $true )
      | ( ( ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
          | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
          | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[87]) ).

thf(91,plain,
    ! [SV15: $i,SV9: $i,SV3: $i] :
      ( ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( ! [SY79: $i] :
              ( ~ ( reproducibility @ SV3 @ SY79 @ SV9 )
              | ! [SY80: $i] :
                  ( ~ ( reproducibility @ SV3 @ SY80 @ SV15 )
                  | ~ ( greater @ SV15 @ SV9 )
                  | ( greater @ SY80 @ SY79 ) ) ) )
        = $true )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(92,plain,
    ! [SV22: $i,SV20: $i,SV7: $i,SV1: $i,SV17: $i,SV13: $i] :
      ( ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( ~ ( reorganization_free @ SV1 @ SV7 @ SV7 )
          | ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
          | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(93,plain,
    ! [SV23: $i,SV21: $i,SV8: $i,SV2: $i,SV18: $i,SV14: $i] :
      ( ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( ~ ( reorganization_free @ SV2 @ SV8 @ SV8 )
          | ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
          | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(94,plain,
    ! [SV15: $i,SV9: $i,SV24: $i,SV3: $i] :
      ( ( ( ~ ( reproducibility @ SV3 @ SV24 @ SV9 )
          | ! [SY99: $i] :
              ( ~ ( reproducibility @ SV3 @ SY99 @ SV15 )
              | ~ ( greater @ SV15 @ SV9 )
              | ( greater @ SY99 @ SV24 ) ) )
        = $true )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(95,plain,
    ! [SV22: $i,SV20: $i,SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ( ~ ( reorganization_free @ SV1 @ SV7 @ SV7 ) )
        = $true )
      | ( ( ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
          | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[92]) ).

thf(96,plain,
    ! [SV23: $i,SV21: $i,SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ( ~ ( reorganization_free @ SV2 @ SV8 @ SV8 ) )
        = $true )
      | ( ( ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
          | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[93]) ).

thf(97,plain,
    ! [SV15: $i,SV9: $i,SV24: $i,SV3: $i] :
      ( ( ( ~ ( reproducibility @ SV3 @ SV24 @ SV9 ) )
        = $true )
      | ( ( ! [SY99: $i] :
              ( ~ ( reproducibility @ SV3 @ SY99 @ SV15 )
              | ~ ( greater @ SV15 @ SV9 )
              | ( greater @ SY99 @ SV24 ) ) )
        = $true )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(98,plain,
    ! [SV22: $i,SV20: $i,SV17: $i,SV13: $i,SV7: $i,SV1: $i] :
      ( ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( ~ ( reorganization_free @ SV13 @ SV17 @ SV17 )
          | ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(99,plain,
    ! [SV23: $i,SV21: $i,SV18: $i,SV14: $i,SV8: $i,SV2: $i] :
      ( ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( ~ ( reorganization_free @ SV14 @ SV18 @ SV18 )
          | ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(100,plain,
    ! [SV15: $i,SV9: $i,SV24: $i,SV3: $i] :
      ( ( ( reproducibility @ SV3 @ SV24 @ SV9 )
        = $false )
      | ( ( ! [SY99: $i] :
              ( ~ ( reproducibility @ SV3 @ SY99 @ SV15 )
              | ~ ( greater @ SV15 @ SV9 )
              | ( greater @ SY99 @ SV24 ) ) )
        = $true )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[97]) ).

thf(101,plain,
    ! [SV22: $i,SV7: $i,SV20: $i,SV1: $i,SV17: $i,SV13: $i] :
      ( ( ( ~ ( reorganization_free @ SV13 @ SV17 @ SV17 ) )
        = $true )
      | ( ( ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(102,plain,
    ! [SV23: $i,SV8: $i,SV21: $i,SV2: $i,SV18: $i,SV14: $i] :
      ( ( ( ~ ( reorganization_free @ SV14 @ SV18 @ SV18 ) )
        = $true )
      | ( ( ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[99]) ).

thf(103,plain,
    ! [SV24: $i,SV9: $i,SV15: $i,SV25: $i,SV3: $i] :
      ( ( ( ~ ( reproducibility @ SV3 @ SV25 @ SV15 )
          | ~ ( greater @ SV15 @ SV9 )
          | ( greater @ SV25 @ SV24 ) )
        = $true )
      | ( ( reproducibility @ SV3 @ SV24 @ SV9 )
        = $false )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[100]) ).

thf(104,plain,
    ! [SV22: $i,SV7: $i,SV20: $i,SV1: $i,SV17: $i,SV13: $i] :
      ( ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( ~ ( reproducibility @ SV1 @ SV20 @ SV7 )
          | ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[101]) ).

thf(105,plain,
    ! [SV23: $i,SV8: $i,SV21: $i,SV2: $i,SV18: $i,SV14: $i] :
      ( ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( ~ ( reproducibility @ SV2 @ SV21 @ SV8 )
          | ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[102]) ).

thf(106,plain,
    ! [SV24: $i,SV9: $i,SV15: $i,SV25: $i,SV3: $i] :
      ( ( ( ~ ( reproducibility @ SV3 @ SV25 @ SV15 ) )
        = $true )
      | ( ( ~ ( greater @ SV15 @ SV9 )
          | ( greater @ SV25 @ SV24 ) )
        = $true )
      | ( ( reproducibility @ SV3 @ SV24 @ SV9 )
        = $false )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[103]) ).

thf(107,plain,
    ! [SV17: $i,SV22: $i,SV13: $i,SV7: $i,SV20: $i,SV1: $i] :
      ( ( ( ~ ( reproducibility @ SV1 @ SV20 @ SV7 ) )
        = $true )
      | ( ( ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[104]) ).

thf(108,plain,
    ! [SV18: $i,SV23: $i,SV14: $i,SV8: $i,SV21: $i,SV2: $i] :
      ( ( ( ~ ( reproducibility @ SV2 @ SV21 @ SV8 ) )
        = $true )
      | ( ( ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[105]) ).

thf(109,plain,
    ! [SV24: $i,SV9: $i,SV15: $i,SV25: $i,SV3: $i] :
      ( ( ( reproducibility @ SV3 @ SV25 @ SV15 )
        = $false )
      | ( ( ~ ( greater @ SV15 @ SV9 )
          | ( greater @ SV25 @ SV24 ) )
        = $true )
      | ( ( reproducibility @ SV3 @ SV24 @ SV9 )
        = $false )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[106]) ).

thf(110,plain,
    ! [SV17: $i,SV22: $i,SV13: $i,SV7: $i,SV20: $i,SV1: $i] :
      ( ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( ~ ( reproducibility @ SV13 @ SV22 @ SV17 )
          | ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[107]) ).

thf(111,plain,
    ! [SV18: $i,SV23: $i,SV14: $i,SV8: $i,SV21: $i,SV2: $i] :
      ( ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( ~ ( reproducibility @ SV14 @ SV23 @ SV18 )
          | ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[108]) ).

thf(112,plain,
    ! [SV3: $i,SV24: $i,SV25: $i,SV9: $i,SV15: $i] :
      ( ( ( ~ ( greater @ SV15 @ SV9 ) )
        = $true )
      | ( ( greater @ SV25 @ SV24 )
        = $true )
      | ( ( reproducibility @ SV3 @ SV25 @ SV15 )
        = $false )
      | ( ( reproducibility @ SV3 @ SV24 @ SV9 )
        = $false )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[109]) ).

thf(113,plain,
    ! [SV20: $i,SV7: $i,SV1: $i,SV17: $i,SV22: $i,SV13: $i] :
      ( ( ( ~ ( reproducibility @ SV13 @ SV22 @ SV17 ) )
        = $true )
      | ( ( ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[110]) ).

thf(114,plain,
    ! [SV21: $i,SV8: $i,SV2: $i,SV18: $i,SV23: $i,SV14: $i] :
      ( ( ( ~ ( reproducibility @ SV14 @ SV23 @ SV18 ) )
        = $true )
      | ( ( ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[111]) ).

thf(115,plain,
    ! [SV3: $i,SV24: $i,SV25: $i,SV9: $i,SV15: $i] :
      ( ( ( greater @ SV15 @ SV9 )
        = $false )
      | ( ( greater @ SV25 @ SV24 )
        = $true )
      | ( ( reproducibility @ SV3 @ SV25 @ SV15 )
        = $false )
      | ( ( reproducibility @ SV3 @ SV24 @ SV9 )
        = $false )
      | ( ( reorganization_free @ SV3 @ SV9 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV15 )
        = $false )
      | ( ( organization @ SV3 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[112]) ).

thf(116,plain,
    ! [SV20: $i,SV7: $i,SV1: $i,SV17: $i,SV22: $i,SV13: $i] :
      ( ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( ! [SY95: $i] :
              ( ~ ( inertia @ SV1 @ SY95 @ SV7 )
              | ! [SY96: $i] :
                  ( ~ ( inertia @ SV13 @ SY96 @ SV17 )
                  | ~ ( greater @ SV22 @ SV20 )
                  | ( greater @ SY96 @ SY95 ) ) ) )
        = $true )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[113]) ).

thf(117,plain,
    ! [SV21: $i,SV8: $i,SV2: $i,SV18: $i,SV23: $i,SV14: $i] :
      ( ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( ! [SY97: $i] :
              ( ~ ( inertia @ SV2 @ SY97 @ SV8 )
              | ! [SY98: $i] :
                  ( ~ ( inertia @ SV14 @ SY98 @ SV18 )
                  | ~ ( greater @ SY98 @ SY97 )
                  | ( greater @ SV23 @ SV21 ) ) ) )
        = $true )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[114]) ).

thf(118,plain,
    ! [SV20: $i,SV22: $i,SV17: $i,SV13: $i,SV7: $i,SV26: $i,SV1: $i] :
      ( ( ( ~ ( inertia @ SV1 @ SV26 @ SV7 )
          | ! [SY100: $i] :
              ( ~ ( inertia @ SV13 @ SY100 @ SV17 )
              | ~ ( greater @ SV22 @ SV20 )
              | ( greater @ SY100 @ SV26 ) ) )
        = $true )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[116]) ).

thf(119,plain,
    ! [SV21: $i,SV23: $i,SV18: $i,SV14: $i,SV8: $i,SV27: $i,SV2: $i] :
      ( ( ( ~ ( inertia @ SV2 @ SV27 @ SV8 )
          | ! [SY101: $i] :
              ( ~ ( inertia @ SV14 @ SY101 @ SV18 )
              | ~ ( greater @ SY101 @ SV27 )
              | ( greater @ SV23 @ SV21 ) ) )
        = $true )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[117]) ).

thf(120,plain,
    ! [SV20: $i,SV22: $i,SV17: $i,SV13: $i,SV7: $i,SV26: $i,SV1: $i] :
      ( ( ( ~ ( inertia @ SV1 @ SV26 @ SV7 ) )
        = $true )
      | ( ( ! [SY100: $i] :
              ( ~ ( inertia @ SV13 @ SY100 @ SV17 )
              | ~ ( greater @ SV22 @ SV20 )
              | ( greater @ SY100 @ SV26 ) ) )
        = $true )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[118]) ).

thf(121,plain,
    ! [SV21: $i,SV23: $i,SV18: $i,SV14: $i,SV8: $i,SV27: $i,SV2: $i] :
      ( ( ( ~ ( inertia @ SV2 @ SV27 @ SV8 ) )
        = $true )
      | ( ( ! [SY101: $i] :
              ( ~ ( inertia @ SV14 @ SY101 @ SV18 )
              | ~ ( greater @ SY101 @ SV27 )
              | ( greater @ SV23 @ SV21 ) ) )
        = $true )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[119]) ).

thf(122,plain,
    ! [SV20: $i,SV22: $i,SV17: $i,SV13: $i,SV7: $i,SV26: $i,SV1: $i] :
      ( ( ( inertia @ SV1 @ SV26 @ SV7 )
        = $false )
      | ( ( ! [SY100: $i] :
              ( ~ ( inertia @ SV13 @ SY100 @ SV17 )
              | ~ ( greater @ SV22 @ SV20 )
              | ( greater @ SY100 @ SV26 ) ) )
        = $true )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[120]) ).

thf(123,plain,
    ! [SV21: $i,SV23: $i,SV18: $i,SV14: $i,SV8: $i,SV27: $i,SV2: $i] :
      ( ( ( inertia @ SV2 @ SV27 @ SV8 )
        = $false )
      | ( ( ! [SY101: $i] :
              ( ~ ( inertia @ SV14 @ SY101 @ SV18 )
              | ~ ( greater @ SY101 @ SV27 )
              | ( greater @ SV23 @ SV21 ) ) )
        = $true )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[121]) ).

thf(124,plain,
    ! [SV7: $i,SV1: $i,SV26: $i,SV20: $i,SV22: $i,SV17: $i,SV28: $i,SV13: $i] :
      ( ( ( ~ ( inertia @ SV13 @ SV28 @ SV17 )
          | ~ ( greater @ SV22 @ SV20 )
          | ( greater @ SV28 @ SV26 ) )
        = $true )
      | ( ( inertia @ SV1 @ SV26 @ SV7 )
        = $false )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[122]) ).

thf(125,plain,
    ! [SV8: $i,SV2: $i,SV21: $i,SV23: $i,SV27: $i,SV18: $i,SV29: $i,SV14: $i] :
      ( ( ( ~ ( inertia @ SV14 @ SV29 @ SV18 )
          | ~ ( greater @ SV29 @ SV27 )
          | ( greater @ SV23 @ SV21 ) )
        = $true )
      | ( ( inertia @ SV2 @ SV27 @ SV8 )
        = $false )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[123]) ).

thf(126,plain,
    ! [SV7: $i,SV1: $i,SV26: $i,SV20: $i,SV22: $i,SV17: $i,SV28: $i,SV13: $i] :
      ( ( ( ~ ( inertia @ SV13 @ SV28 @ SV17 ) )
        = $true )
      | ( ( ~ ( greater @ SV22 @ SV20 )
          | ( greater @ SV28 @ SV26 ) )
        = $true )
      | ( ( inertia @ SV1 @ SV26 @ SV7 )
        = $false )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[124]) ).

thf(127,plain,
    ! [SV8: $i,SV2: $i,SV21: $i,SV23: $i,SV27: $i,SV18: $i,SV29: $i,SV14: $i] :
      ( ( ( ~ ( inertia @ SV14 @ SV29 @ SV18 ) )
        = $true )
      | ( ( ~ ( greater @ SV29 @ SV27 )
          | ( greater @ SV23 @ SV21 ) )
        = $true )
      | ( ( inertia @ SV2 @ SV27 @ SV8 )
        = $false )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[125]) ).

thf(128,plain,
    ! [SV7: $i,SV1: $i,SV26: $i,SV20: $i,SV22: $i,SV17: $i,SV28: $i,SV13: $i] :
      ( ( ( inertia @ SV13 @ SV28 @ SV17 )
        = $false )
      | ( ( ~ ( greater @ SV22 @ SV20 )
          | ( greater @ SV28 @ SV26 ) )
        = $true )
      | ( ( inertia @ SV1 @ SV26 @ SV7 )
        = $false )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[126]) ).

thf(129,plain,
    ! [SV8: $i,SV2: $i,SV21: $i,SV23: $i,SV27: $i,SV18: $i,SV29: $i,SV14: $i] :
      ( ( ( inertia @ SV14 @ SV29 @ SV18 )
        = $false )
      | ( ( ~ ( greater @ SV29 @ SV27 )
          | ( greater @ SV23 @ SV21 ) )
        = $true )
      | ( ( inertia @ SV2 @ SV27 @ SV8 )
        = $false )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[127]) ).

thf(130,plain,
    ! [SV7: $i,SV1: $i,SV17: $i,SV13: $i,SV26: $i,SV28: $i,SV20: $i,SV22: $i] :
      ( ( ( ~ ( greater @ SV22 @ SV20 ) )
        = $true )
      | ( ( greater @ SV28 @ SV26 )
        = $true )
      | ( ( inertia @ SV13 @ SV28 @ SV17 )
        = $false )
      | ( ( inertia @ SV1 @ SV26 @ SV7 )
        = $false )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[128]) ).

thf(131,plain,
    ! [SV8: $i,SV2: $i,SV18: $i,SV14: $i,SV21: $i,SV23: $i,SV27: $i,SV29: $i] :
      ( ( ( ~ ( greater @ SV29 @ SV27 ) )
        = $true )
      | ( ( greater @ SV23 @ SV21 )
        = $true )
      | ( ( inertia @ SV14 @ SV29 @ SV18 )
        = $false )
      | ( ( inertia @ SV2 @ SV27 @ SV8 )
        = $false )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[129]) ).

thf(132,plain,
    ! [SV7: $i,SV1: $i,SV17: $i,SV13: $i,SV26: $i,SV28: $i,SV20: $i,SV22: $i] :
      ( ( ( greater @ SV22 @ SV20 )
        = $false )
      | ( ( greater @ SV28 @ SV26 )
        = $true )
      | ( ( inertia @ SV13 @ SV28 @ SV17 )
        = $false )
      | ( ( inertia @ SV1 @ SV26 @ SV7 )
        = $false )
      | ( ( reproducibility @ SV13 @ SV22 @ SV17 )
        = $false )
      | ( ( reproducibility @ SV1 @ SV20 @ SV7 )
        = $false )
      | ( ( reorganization_free @ SV13 @ SV17 @ SV17 )
        = $false )
      | ( ( reorganization_free @ SV1 @ SV7 @ SV7 )
        = $false )
      | ( ( organization @ SV13 @ SV17 )
        = $false )
      | ( ( organization @ SV1 @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[130]) ).

thf(133,plain,
    ! [SV8: $i,SV2: $i,SV18: $i,SV14: $i,SV21: $i,SV23: $i,SV27: $i,SV29: $i] :
      ( ( ( greater @ SV29 @ SV27 )
        = $false )
      | ( ( greater @ SV23 @ SV21 )
        = $true )
      | ( ( inertia @ SV14 @ SV29 @ SV18 )
        = $false )
      | ( ( inertia @ SV2 @ SV27 @ SV8 )
        = $false )
      | ( ( reproducibility @ SV14 @ SV23 @ SV18 )
        = $false )
      | ( ( reproducibility @ SV2 @ SV21 @ SV8 )
        = $false )
      | ( ( reorganization_free @ SV14 @ SV18 @ SV18 )
        = $false )
      | ( ( reorganization_free @ SV2 @ SV8 @ SV8 )
        = $false )
      | ( ( organization @ SV14 @ SV18 )
        = $false )
      | ( ( organization @ SV2 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[131]) ).

thf(134,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[35,133,132,115,79,78,72,56,49,40,39,38,37,36]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : MGT002-1 : TPTP v8.1.0. Released v2.4.0.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n026.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Thu Jun  9 12:17:03 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.38  
% 0.19/0.38   No.of.Axioms: 13
% 0.19/0.38  
% 0.19/0.38   Length.of.Defs: 0
% 0.19/0.38  
% 0.19/0.38   Contains.Choice.Funs: false
% 0.19/0.41  (rf:0,axioms:13,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:600,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:15,loop_count:0,foatp_calls:0,translation:fof_full).........
% 0.36/0.56  
% 0.36/0.56  ********************************
% 0.36/0.56  *   All subproblems solved!    *
% 0.36/0.56  ********************************
% 0.36/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:134,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.36/0.56  
% 0.36/0.56  %**** Beginning of derivation protocol ****
% 0.36/0.56  % SZS output start CNFRefutation
% See solution above
% 0.36/0.56  
% 0.36/0.56  %**** End of derivation protocol ****
% 0.36/0.56  %**** no. of clauses in derivation: 135 ****
% 0.36/0.56  %**** clause counter: 134 ****
% 0.36/0.56  
% 0.36/0.56  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:13,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:74,atp_calls_frequency:10,ordering:none,proof_output:1,protocol_output:false,clause_count:134,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------