TSTP Solution File: PUZ012-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n027.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 : Mon Jul 18 18:19:16 EDT 2022

% Result   : Unsatisfiable 0.19s 0.40s
% Output   : CNFRefutation 0.19s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   12
%            Number of leaves      :   29
% Syntax   : Number of formulae    :  110 (  74 unt;  10 typ;   0 def)
%            Number of atoms       :  394 ( 106 equ;   0 cnn)
%            Maximal formula atoms :    3 (   3 avg)
%            Number of connectives :  506 (  76   ~;  82   |;   0   &; 348   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   2 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  102 (   0   ^ 102   !;   0   ?; 102   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_apples,type,
    apples: $i ).

thf(tp_bananas,type,
    bananas: $i ).

thf(tp_boxa,type,
    boxa: $i ).

thf(tp_boxb,type,
    boxb: $i ).

thf(tp_boxc,type,
    boxc: $i ).

thf(tp_contains,type,
    contains: $i > $i > $o ).

thf(tp_equal_boxes,type,
    equal_boxes: $i > $i > $o ).

thf(tp_equal_fruits,type,
    equal_fruits: $i > $i > $o ).

thf(tp_label,type,
    label: $i > $i > $o ).

thf(tp_oranges,type,
    oranges: $i ).

thf(1,axiom,
    ~ ( equal_fruits @ apples @ oranges ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_oranges) ).

thf(2,axiom,
    ~ ( equal_fruits @ bananas @ oranges ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',bananas_not_oranges) ).

thf(3,axiom,
    ~ ( equal_fruits @ apples @ bananas ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',apples_not_bananas) ).

thf(4,axiom,
    ~ ( equal_boxes @ boxa @ boxc ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxa_not_boxc) ).

thf(5,axiom,
    ~ ( equal_boxes @ boxb @ boxc ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_not_boxc) ).

thf(6,axiom,
    ~ ( equal_boxes @ boxa @ boxb ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxa_not_boxb) ).

thf(7,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( contains @ X @ Y )
      | ~ ( contains @ Z @ Y )
      | ( equal_boxes @ X @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined2) ).

thf(8,axiom,
    ! [X: $i,Y: $i,Z: $i] :
      ( ~ ( contains @ X @ Y )
      | ~ ( contains @ X @ Z )
      | ( equal_fruits @ Y @ Z ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',contains_is_well_defined1) ).

thf(9,axiom,
    ! [X: $i] :
      ( ( contains @ X @ apples )
      | ( contains @ X @ bananas )
      | ( contains @ X @ oranges ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_box_contains_something) ).

thf(10,axiom,
    ! [X: $i] :
      ( ( contains @ boxa @ X )
      | ( contains @ boxb @ X )
      | ( contains @ boxc @ X ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',each_thing_is_in_a_box) ).

thf(11,axiom,
    ! [X: $i,Y: $i] :
      ( ~ ( label @ X @ Y )
      | ~ ( contains @ X @ Y ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',label_is_wrong) ).

thf(12,axiom,
    ! [X: $i] : ( equal_boxes @ X @ X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_boxes) ).

thf(13,axiom,
    ! [X: $i] : ( equal_fruits @ X @ X ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_for_fruits) ).

thf(14,axiom,
    contains @ boxb @ apples,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_contains_apples) ).

thf(15,axiom,
    label @ boxc @ bananas,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxc_labelled_bananas) ).

thf(16,axiom,
    label @ boxb @ oranges,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxb_labelled_oranges) ).

thf(17,axiom,
    label @ boxa @ apples,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',boxa_labelled_apples) ).

thf(18,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(19,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[18]) ).

thf(20,negated_conjecture,
    ( ~ ( contains @ boxa @ bananas )
    | ~ ( contains @ boxc @ oranges ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_boxa_contains_bananas_and_boxc_oranges) ).

thf(21,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[19]) ).

thf(22,plain,
    ( ( ~ ( equal_fruits @ apples @ oranges ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(23,plain,
    ( ( ~ ( equal_fruits @ bananas @ oranges ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(24,plain,
    ( ( ~ ( equal_fruits @ apples @ bananas ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(25,plain,
    ( ( ~ ( equal_boxes @ boxa @ boxc ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(26,plain,
    ( ( ~ ( equal_boxes @ boxb @ boxc ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(27,plain,
    ( ( ~ ( equal_boxes @ boxa @ boxb ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(28,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( contains @ X @ Y )
          | ~ ( contains @ Z @ Y )
          | ( equal_boxes @ X @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(29,plain,
    ( ( ! [X: $i,Y: $i,Z: $i] :
          ( ~ ( contains @ X @ Y )
          | ~ ( contains @ X @ Z )
          | ( equal_fruits @ Y @ Z ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(30,plain,
    ( ( ! [X: $i] :
          ( ( contains @ X @ apples )
          | ( contains @ X @ bananas )
          | ( contains @ X @ oranges ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(31,plain,
    ( ( ! [X: $i] :
          ( ( contains @ boxa @ X )
          | ( contains @ boxb @ X )
          | ( contains @ boxc @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(32,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( label @ X @ Y )
          | ~ ( contains @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(33,plain,
    ( ( ! [X: $i] : ( equal_boxes @ X @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(34,plain,
    ( ( ! [X: $i] : ( equal_fruits @ X @ X ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(35,plain,
    ( ( contains @ boxb @ apples )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(36,plain,
    ( ( label @ boxc @ bananas )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(37,plain,
    ( ( label @ boxb @ oranges )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(38,plain,
    ( ( label @ boxa @ apples )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(39,plain,
    ( ( ~ ( contains @ boxa @ bananas )
      | ~ ( contains @ boxc @ oranges ) )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(40,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[21]) ).

thf(41,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( contains @ X @ Y )
          | ! [Z: $i] :
              ( ~ ( contains @ Z @ Y )
              | ( equal_boxes @ X @ Z ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[28]) ).

thf(42,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( contains @ X @ Y )
          | ! [Z: $i] :
              ( ~ ( contains @ X @ Z )
              | ( equal_fruits @ Y @ Z ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[29]) ).

thf(43,plain,
    ( ( ~ ( contains @ boxa @ bananas )
      | ~ ( contains @ boxc @ oranges ) )
    = $true ),
    inference(copy,[status(thm)],[39]) ).

thf(44,plain,
    ( ( label @ boxa @ apples )
    = $true ),
    inference(copy,[status(thm)],[38]) ).

thf(45,plain,
    ( ( label @ boxb @ oranges )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(46,plain,
    ( ( label @ boxc @ bananas )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(47,plain,
    ( ( contains @ boxb @ apples )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(48,plain,
    ( ( ! [X: $i] : ( equal_fruits @ X @ X ) )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(49,plain,
    ( ( ! [X: $i] : ( equal_boxes @ X @ X ) )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(50,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( label @ X @ Y )
          | ~ ( contains @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(51,plain,
    ( ( ! [X: $i] :
          ( ( contains @ boxa @ X )
          | ( contains @ boxb @ X )
          | ( contains @ boxc @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(52,plain,
    ( ( ! [X: $i] :
          ( ( contains @ X @ apples )
          | ( contains @ X @ bananas )
          | ( contains @ X @ oranges ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(53,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( contains @ X @ Y )
          | ! [Z: $i] :
              ( ~ ( contains @ X @ Z )
              | ( equal_fruits @ Y @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[42]) ).

thf(54,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( contains @ X @ Y )
          | ! [Z: $i] :
              ( ~ ( contains @ Z @ Y )
              | ( equal_boxes @ X @ Z ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[41]) ).

thf(55,plain,
    ( ( ~ ( equal_boxes @ boxa @ boxb ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(56,plain,
    ( ( ~ ( equal_boxes @ boxb @ boxc ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(57,plain,
    ( ( ~ ( equal_boxes @ boxa @ boxc ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(58,plain,
    ( ( ~ ( equal_fruits @ apples @ bananas ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(59,plain,
    ( ( ~ ( equal_fruits @ bananas @ oranges ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(60,plain,
    ( ( ~ ( equal_fruits @ apples @ oranges ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(61,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[40]) ).

thf(62,plain,
    ( ( ( ~ ( contains @ boxa @ bananas ) )
      = $true )
    | ( ( ~ ( contains @ boxc @ oranges ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[43]) ).

thf(63,plain,
    ! [SV1: $i] :
      ( ( equal_fruits @ SV1 @ SV1 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(64,plain,
    ! [SV2: $i] :
      ( ( equal_boxes @ SV2 @ SV2 )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(65,plain,
    ! [SV3: $i] :
      ( ( ! [SY12: $i] :
            ( ~ ( label @ SV3 @ SY12 )
            | ~ ( contains @ SV3 @ SY12 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(66,plain,
    ! [SV4: $i] :
      ( ( ( contains @ boxa @ SV4 )
        | ( contains @ boxb @ SV4 )
        | ( contains @ boxc @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(67,plain,
    ! [SV5: $i] :
      ( ( ( contains @ SV5 @ apples )
        | ( contains @ SV5 @ bananas )
        | ( contains @ SV5 @ oranges ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[52]) ).

thf(68,plain,
    ! [SV6: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ( contains @ SV6 @ SY13 )
            | ! [SY14: $i] :
                ( ~ ( contains @ SV6 @ SY14 )
                | ( equal_fruits @ SY13 @ SY14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[53]) ).

thf(69,plain,
    ! [SV7: $i] :
      ( ( ! [SY15: $i] :
            ( ~ ( contains @ SV7 @ SY15 )
            | ! [SY16: $i] :
                ( ~ ( contains @ SY16 @ SY15 )
                | ( equal_boxes @ SV7 @ SY16 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[54]) ).

thf(70,plain,
    ( ( equal_boxes @ boxa @ boxb )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(71,plain,
    ( ( equal_boxes @ boxb @ boxc )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[56]) ).

thf(72,plain,
    ( ( equal_boxes @ boxa @ boxc )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(73,plain,
    ( ( equal_fruits @ apples @ bananas )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[58]) ).

thf(74,plain,
    ( ( equal_fruits @ bananas @ oranges )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[59]) ).

thf(75,plain,
    ( ( equal_fruits @ apples @ oranges )
    = $false ),
    inference(extcnf_not_pos,[status(thm)],[60]) ).

thf(76,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[61]) ).

thf(77,plain,
    ( ( ( contains @ boxa @ bananas )
      = $false )
    | ( ( ~ ( contains @ boxc @ oranges ) )
      = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[62]) ).

thf(78,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ~ ( label @ SV3 @ SV8 )
        | ~ ( contains @ SV3 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(79,plain,
    ! [SV4: $i] :
      ( ( ( contains @ boxa @ SV4 )
        = $true )
      | ( ( ( contains @ boxb @ SV4 )
          | ( contains @ boxc @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[66]) ).

thf(80,plain,
    ! [SV5: $i] :
      ( ( ( contains @ SV5 @ apples )
        = $true )
      | ( ( ( contains @ SV5 @ bananas )
          | ( contains @ SV5 @ oranges ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[67]) ).

thf(81,plain,
    ! [SV9: $i,SV6: $i] :
      ( ( ~ ( contains @ SV6 @ SV9 )
        | ! [SY17: $i] :
            ( ~ ( contains @ SV6 @ SY17 )
            | ( equal_fruits @ SV9 @ SY17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(82,plain,
    ! [SV10: $i,SV7: $i] :
      ( ( ~ ( contains @ SV7 @ SV10 )
        | ! [SY18: $i] :
            ( ~ ( contains @ SY18 @ SV10 )
            | ( equal_boxes @ SV7 @ SY18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[69]) ).

thf(83,plain,
    ( ( ( contains @ boxc @ oranges )
      = $false )
    | ( ( contains @ boxa @ bananas )
      = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(84,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( ~ ( label @ SV3 @ SV8 ) )
        = $true )
      | ( ( ~ ( contains @ SV3 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(85,plain,
    ! [SV4: $i] :
      ( ( ( contains @ boxb @ SV4 )
        = $true )
      | ( ( contains @ boxc @ SV4 )
        = $true )
      | ( ( contains @ boxa @ SV4 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(86,plain,
    ! [SV5: $i] :
      ( ( ( contains @ SV5 @ bananas )
        = $true )
      | ( ( contains @ SV5 @ oranges )
        = $true )
      | ( ( contains @ SV5 @ apples )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[80]) ).

thf(87,plain,
    ! [SV9: $i,SV6: $i] :
      ( ( ( ~ ( contains @ SV6 @ SV9 ) )
        = $true )
      | ( ( ! [SY17: $i] :
              ( ~ ( contains @ SV6 @ SY17 )
              | ( equal_fruits @ SV9 @ SY17 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(88,plain,
    ! [SV10: $i,SV7: $i] :
      ( ( ( ~ ( contains @ SV7 @ SV10 ) )
        = $true )
      | ( ( ! [SY18: $i] :
              ( ~ ( contains @ SY18 @ SV10 )
              | ( equal_boxes @ SV7 @ SY18 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(89,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( label @ SV3 @ SV8 )
        = $false )
      | ( ( ~ ( contains @ SV3 @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(90,plain,
    ! [SV9: $i,SV6: $i] :
      ( ( ( contains @ SV6 @ SV9 )
        = $false )
      | ( ( ! [SY17: $i] :
              ( ~ ( contains @ SV6 @ SY17 )
              | ( equal_fruits @ SV9 @ SY17 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(91,plain,
    ! [SV10: $i,SV7: $i] :
      ( ( ( contains @ SV7 @ SV10 )
        = $false )
      | ( ( ! [SY18: $i] :
              ( ~ ( contains @ SY18 @ SV10 )
              | ( equal_boxes @ SV7 @ SY18 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(92,plain,
    ! [SV8: $i,SV3: $i] :
      ( ( ( contains @ SV3 @ SV8 )
        = $false )
      | ( ( label @ SV3 @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(93,plain,
    ! [SV9: $i,SV11: $i,SV6: $i] :
      ( ( ( ~ ( contains @ SV6 @ SV11 )
          | ( equal_fruits @ SV9 @ SV11 ) )
        = $true )
      | ( ( contains @ SV6 @ SV9 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[90]) ).

thf(94,plain,
    ! [SV7: $i,SV10: $i,SV12: $i] :
      ( ( ( ~ ( contains @ SV12 @ SV10 )
          | ( equal_boxes @ SV7 @ SV12 ) )
        = $true )
      | ( ( contains @ SV7 @ SV10 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[91]) ).

thf(95,plain,
    ! [SV9: $i,SV11: $i,SV6: $i] :
      ( ( ( ~ ( contains @ SV6 @ SV11 ) )
        = $true )
      | ( ( equal_fruits @ SV9 @ SV11 )
        = $true )
      | ( ( contains @ SV6 @ SV9 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[93]) ).

thf(96,plain,
    ! [SV7: $i,SV10: $i,SV12: $i] :
      ( ( ( ~ ( contains @ SV12 @ SV10 ) )
        = $true )
      | ( ( equal_boxes @ SV7 @ SV12 )
        = $true )
      | ( ( contains @ SV7 @ SV10 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[94]) ).

thf(97,plain,
    ! [SV9: $i,SV11: $i,SV6: $i] :
      ( ( ( contains @ SV6 @ SV11 )
        = $false )
      | ( ( equal_fruits @ SV9 @ SV11 )
        = $true )
      | ( ( contains @ SV6 @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[95]) ).

thf(98,plain,
    ! [SV7: $i,SV10: $i,SV12: $i] :
      ( ( ( contains @ SV12 @ SV10 )
        = $false )
      | ( ( equal_boxes @ SV7 @ SV12 )
        = $true )
      | ( ( contains @ SV7 @ SV10 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(99,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[44,98,97,92,86,85,83,76,75,74,73,72,71,70,64,63,47,46,45]) ).

thf(100,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[99]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ012-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n027.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Sun May 29 03:22:00 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.35  
% 0.12/0.35   No.of.Axioms: 18
% 0.12/0.35  
% 0.12/0.35   Length.of.Defs: 0
% 0.12/0.35  
% 0.12/0.35   Contains.Choice.Funs: false
% 0.12/0.36  (rf:0,axioms:18,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:20,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.19/0.40  
% 0.19/0.40  ********************************
% 0.19/0.40  *   All subproblems solved!    *
% 0.19/0.40  ********************************
% 0.19/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,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:99,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.19/0.40  
% 0.19/0.40  %**** Beginning of derivation protocol ****
% 0.19/0.40  % SZS output start CNFRefutation
% See solution above
% 0.19/0.40  
% 0.19/0.40  %**** End of derivation protocol ****
% 0.19/0.40  %**** no. of clauses in derivation: 100 ****
% 0.19/0.40  %**** clause counter: 99 ****
% 0.19/0.40  
% 0.19/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:18,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:99,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------