TSTP Solution File: PUZ028-5 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ028-5 : TPTP v8.1.0. Released v2.0.0.
% Transfm  : none
% Format   : tptp
% Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s

% Computer : n024.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 18:19:19 EDT 2022

% Result   : Unsatisfiable 0.46s 0.66s
% Output   : CNFRefutation 0.46s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   26
% Syntax   : Number of formulae    :   98 (  60 unt;  10 typ;   0 def)
%            Number of atoms       :  442 ( 118 equ;   0 cnn)
%            Maximal formula atoms :    5 (   5 avg)
%            Number of connectives :  578 ( 106   ~; 118   |;   0   &; 354   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   10 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    7 (   7   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   13 (  10 usr;   8 con; 0-2 aty)
%            Number of variables   :  129 (   0   ^ 129   !;   0   ?; 129   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_after,type,
    after: $i > $i > $o ).

thf(tp_familiar,type,
    familiar: $i > $i > $o ).

thf(tp_five,type,
    five: $i ).

thf(tp_four,type,
    four: $i ).

thf(tp_not_familiar,type,
    not_familiar: $i > $i > $o ).

thf(tp_one,type,
    one: $i ).

thf(tp_person,type,
    person: $i > $o ).

thf(tp_six,type,
    six: $i ).

thf(tp_three,type,
    three: $i ).

thf(tp_two,type,
    two: $i ).

thf(1,axiom,
    ! [X: $i,Y: $i] :
      ( ( familiar @ X @ Y )
      | ( not_familiar @ X @ Y )
      | ~ ( person @ X )
      | ~ ( person @ Y )
      | ~ ( after @ X @ Y ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',familiar_or_not) ).

thf(2,axiom,
    ! [Large: $i,Small: $i,Medium: $i] :
      ( ( after @ Large @ Small )
      | ~ ( after @ Large @ Medium )
      | ~ ( after @ Medium @ Small ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity_of_order) ).

thf(3,axiom,
    after @ five @ six,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order5) ).

thf(4,axiom,
    after @ four @ five,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order4) ).

thf(5,axiom,
    after @ three @ four,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order3) ).

thf(6,axiom,
    after @ two @ three,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order2) ).

thf(7,axiom,
    after @ one @ two,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',order1) ).

thf(8,axiom,
    person @ six,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person6) ).

thf(9,axiom,
    person @ five,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person5) ).

thf(10,axiom,
    person @ four,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person4) ).

thf(11,axiom,
    person @ three,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person3) ).

thf(12,axiom,
    person @ two,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person2) ).

thf(13,axiom,
    person @ one,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',person1) ).

thf(14,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(15,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[14]) ).

thf(16,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( not_familiar @ X1 @ X2 )
      | ~ ( not_familiar @ X2 @ X3 )
      | ~ ( not_familiar @ X1 @ X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_not_familiar) ).

thf(17,negated_conjecture,
    ! [X1: $i,X2: $i,X3: $i] :
      ( ~ ( familiar @ X1 @ X2 )
      | ~ ( familiar @ X2 @ X3 )
      | ~ ( familiar @ X1 @ X3 ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',three_familiar) ).

thf(18,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[15]) ).

thf(19,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( familiar @ X @ Y )
          | ( not_familiar @ X @ Y )
          | ~ ( person @ X )
          | ~ ( person @ Y )
          | ~ ( after @ X @ Y ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(20,plain,
    ( ( ! [Large: $i,Small: $i,Medium: $i] :
          ( ( after @ Large @ Small )
          | ~ ( after @ Large @ Medium )
          | ~ ( after @ Medium @ Small ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(21,plain,
    ( ( after @ five @ six )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(22,plain,
    ( ( after @ four @ five )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(23,plain,
    ( ( after @ three @ four )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(24,plain,
    ( ( after @ two @ three )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(25,plain,
    ( ( after @ one @ two )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(26,plain,
    ( ( person @ six )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(27,plain,
    ( ( person @ five )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(28,plain,
    ( ( person @ four )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(29,plain,
    ( ( person @ three )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(30,plain,
    ( ( person @ two )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(31,plain,
    ( ( person @ one )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(32,plain,
    ( ( ! [X1: $i,X2: $i,X3: $i] :
          ( ~ ( not_familiar @ X1 @ X2 )
          | ~ ( not_familiar @ X2 @ X3 )
          | ~ ( not_familiar @ X1 @ X3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(33,plain,
    ( ( ! [X1: $i,X2: $i,X3: $i] :
          ( ~ ( familiar @ X1 @ X2 )
          | ~ ( familiar @ X2 @ X3 )
          | ~ ( familiar @ X1 @ X3 ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(34,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[18]) ).

thf(35,plain,
    ( ( ! [Large: $i,Small: $i] :
          ( ( after @ Large @ Small )
          | ! [Medium: $i] :
              ( ~ ( after @ Large @ Medium )
              | ~ ( after @ Medium @ Small ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(36,plain,
    ( ( ! [X1: $i,X2: $i] :
          ( ~ ( not_familiar @ X1 @ X2 )
          | ! [X3: $i] :
              ( ~ ( not_familiar @ X2 @ X3 )
              | ~ ( not_familiar @ X1 @ X3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[32]) ).

thf(37,plain,
    ( ( ! [X1: $i,X2: $i] :
          ( ~ ( familiar @ X1 @ X2 )
          | ! [X3: $i] :
              ( ~ ( familiar @ X2 @ X3 )
              | ~ ( familiar @ X1 @ X3 ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[33]) ).

thf(38,plain,
    ( ( ! [X1: $i,X2: $i] :
          ( ~ ( familiar @ X1 @ X2 )
          | ! [X3: $i] :
              ( ~ ( familiar @ X2 @ X3 )
              | ~ ( familiar @ X1 @ X3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[37]) ).

thf(39,plain,
    ( ( ! [X1: $i,X2: $i] :
          ( ~ ( not_familiar @ X1 @ X2 )
          | ! [X3: $i] :
              ( ~ ( not_familiar @ X2 @ X3 )
              | ~ ( not_familiar @ X1 @ X3 ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[36]) ).

thf(40,plain,
    ( ( person @ one )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(41,plain,
    ( ( person @ two )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(42,plain,
    ( ( person @ three )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(43,plain,
    ( ( person @ four )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(44,plain,
    ( ( person @ five )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(45,plain,
    ( ( person @ six )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(46,plain,
    ( ( after @ one @ two )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(47,plain,
    ( ( after @ two @ three )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(48,plain,
    ( ( after @ three @ four )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(49,plain,
    ( ( after @ four @ five )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(50,plain,
    ( ( after @ five @ six )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(51,plain,
    ( ( ! [Large: $i,Small: $i] :
          ( ( after @ Large @ Small )
          | ! [Medium: $i] :
              ( ~ ( after @ Large @ Medium )
              | ~ ( after @ Medium @ Small ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(52,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ( familiar @ X @ Y )
          | ( not_familiar @ X @ Y )
          | ~ ( person @ X )
          | ~ ( person @ Y )
          | ~ ( after @ X @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(53,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(54,plain,
    ! [SV1: $i] :
      ( ( ! [SY11: $i] :
            ( ~ ( familiar @ SV1 @ SY11 )
            | ! [SY12: $i] :
                ( ~ ( familiar @ SY11 @ SY12 )
                | ~ ( familiar @ SV1 @ SY12 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(55,plain,
    ! [SV2: $i] :
      ( ( ! [SY13: $i] :
            ( ~ ( not_familiar @ SV2 @ SY13 )
            | ! [SY14: $i] :
                ( ~ ( not_familiar @ SY13 @ SY14 )
                | ~ ( not_familiar @ SV2 @ SY14 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(56,plain,
    ! [SV3: $i] :
      ( ( ! [SY15: $i] :
            ( ( after @ SV3 @ SY15 )
            | ! [SY16: $i] :
                ( ~ ( after @ SV3 @ SY16 )
                | ~ ( after @ SY16 @ SY15 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(57,plain,
    ! [SV4: $i] :
      ( ( ! [SY17: $i] :
            ( ( familiar @ SV4 @ SY17 )
            | ( not_familiar @ SV4 @ SY17 )
            | ~ ( person @ SV4 )
            | ~ ( person @ SY17 )
            | ~ ( after @ SV4 @ SY17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[52]) ).

thf(58,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[53]) ).

thf(59,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ~ ( familiar @ SV1 @ SV5 )
        | ! [SY18: $i] :
            ( ~ ( familiar @ SV5 @ SY18 )
            | ~ ( familiar @ SV1 @ SY18 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[54]) ).

thf(60,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ~ ( not_familiar @ SV2 @ SV6 )
        | ! [SY19: $i] :
            ( ~ ( not_familiar @ SV6 @ SY19 )
            | ~ ( not_familiar @ SV2 @ SY19 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[55]) ).

thf(61,plain,
    ! [SV7: $i,SV3: $i] :
      ( ( ( after @ SV3 @ SV7 )
        | ! [SY20: $i] :
            ( ~ ( after @ SV3 @ SY20 )
            | ~ ( after @ SY20 @ SV7 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[56]) ).

thf(62,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( familiar @ SV4 @ SV8 )
        | ( not_familiar @ SV4 @ SV8 )
        | ~ ( person @ SV4 )
        | ~ ( person @ SV8 )
        | ~ ( after @ SV4 @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[57]) ).

thf(63,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ( ~ ( familiar @ SV1 @ SV5 ) )
        = $true )
      | ( ( ! [SY18: $i] :
              ( ~ ( familiar @ SV5 @ SY18 )
              | ~ ( familiar @ SV1 @ SY18 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[59]) ).

thf(64,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( ~ ( not_familiar @ SV2 @ SV6 ) )
        = $true )
      | ( ( ! [SY19: $i] :
              ( ~ ( not_familiar @ SV6 @ SY19 )
              | ~ ( not_familiar @ SV2 @ SY19 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(65,plain,
    ! [SV7: $i,SV3: $i] :
      ( ( ( after @ SV3 @ SV7 )
        = $true )
      | ( ( ! [SY20: $i] :
              ( ~ ( after @ SV3 @ SY20 )
              | ~ ( after @ SY20 @ SV7 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(66,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( familiar @ SV4 @ SV8 )
        = $true )
      | ( ( ( not_familiar @ SV4 @ SV8 )
          | ~ ( person @ SV4 )
          | ~ ( person @ SV8 )
          | ~ ( after @ SV4 @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(67,plain,
    ! [SV5: $i,SV1: $i] :
      ( ( ( familiar @ SV1 @ SV5 )
        = $false )
      | ( ( ! [SY18: $i] :
              ( ~ ( familiar @ SV5 @ SY18 )
              | ~ ( familiar @ SV1 @ SY18 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[63]) ).

thf(68,plain,
    ! [SV6: $i,SV2: $i] :
      ( ( ( not_familiar @ SV2 @ SV6 )
        = $false )
      | ( ( ! [SY19: $i] :
              ( ~ ( not_familiar @ SV6 @ SY19 )
              | ~ ( not_familiar @ SV2 @ SY19 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(69,plain,
    ! [SV7: $i,SV9: $i,SV3: $i] :
      ( ( ( ~ ( after @ SV3 @ SV9 )
          | ~ ( after @ SV9 @ SV7 ) )
        = $true )
      | ( ( after @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(70,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( not_familiar @ SV4 @ SV8 )
        = $true )
      | ( ( ~ ( person @ SV4 )
          | ~ ( person @ SV8 )
          | ~ ( after @ SV4 @ SV8 ) )
        = $true )
      | ( ( familiar @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[66]) ).

thf(71,plain,
    ! [SV1: $i,SV10: $i,SV5: $i] :
      ( ( ( ~ ( familiar @ SV5 @ SV10 )
          | ~ ( familiar @ SV1 @ SV10 ) )
        = $true )
      | ( ( familiar @ SV1 @ SV5 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[67]) ).

thf(72,plain,
    ! [SV2: $i,SV11: $i,SV6: $i] :
      ( ( ( ~ ( not_familiar @ SV6 @ SV11 )
          | ~ ( not_familiar @ SV2 @ SV11 ) )
        = $true )
      | ( ( not_familiar @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[68]) ).

thf(73,plain,
    ! [SV7: $i,SV9: $i,SV3: $i] :
      ( ( ( ~ ( after @ SV3 @ SV9 ) )
        = $true )
      | ( ( ~ ( after @ SV9 @ SV7 ) )
        = $true )
      | ( ( after @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[69]) ).

thf(74,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( ~ ( person @ SV4 ) )
        = $true )
      | ( ( ~ ( person @ SV8 )
          | ~ ( after @ SV4 @ SV8 ) )
        = $true )
      | ( ( not_familiar @ SV4 @ SV8 )
        = $true )
      | ( ( familiar @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[70]) ).

thf(75,plain,
    ! [SV1: $i,SV10: $i,SV5: $i] :
      ( ( ( ~ ( familiar @ SV5 @ SV10 ) )
        = $true )
      | ( ( ~ ( familiar @ SV1 @ SV10 ) )
        = $true )
      | ( ( familiar @ SV1 @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[71]) ).

thf(76,plain,
    ! [SV2: $i,SV11: $i,SV6: $i] :
      ( ( ( ~ ( not_familiar @ SV6 @ SV11 ) )
        = $true )
      | ( ( ~ ( not_familiar @ SV2 @ SV11 ) )
        = $true )
      | ( ( not_familiar @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(77,plain,
    ! [SV7: $i,SV9: $i,SV3: $i] :
      ( ( ( after @ SV3 @ SV9 )
        = $false )
      | ( ( ~ ( after @ SV9 @ SV7 ) )
        = $true )
      | ( ( after @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(78,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( person @ SV4 )
        = $false )
      | ( ( ~ ( person @ SV8 )
          | ~ ( after @ SV4 @ SV8 ) )
        = $true )
      | ( ( not_familiar @ SV4 @ SV8 )
        = $true )
      | ( ( familiar @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(79,plain,
    ! [SV1: $i,SV10: $i,SV5: $i] :
      ( ( ( familiar @ SV5 @ SV10 )
        = $false )
      | ( ( ~ ( familiar @ SV1 @ SV10 ) )
        = $true )
      | ( ( familiar @ SV1 @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(80,plain,
    ! [SV2: $i,SV11: $i,SV6: $i] :
      ( ( ( not_familiar @ SV6 @ SV11 )
        = $false )
      | ( ( ~ ( not_familiar @ SV2 @ SV11 ) )
        = $true )
      | ( ( not_familiar @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(81,plain,
    ! [SV3: $i,SV7: $i,SV9: $i] :
      ( ( ( after @ SV9 @ SV7 )
        = $false )
      | ( ( after @ SV3 @ SV9 )
        = $false )
      | ( ( after @ SV3 @ SV7 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(82,plain,
    ! [SV4: $i,SV8: $i] :
      ( ( ( ~ ( person @ SV8 ) )
        = $true )
      | ( ( ~ ( after @ SV4 @ SV8 ) )
        = $true )
      | ( ( person @ SV4 )
        = $false )
      | ( ( not_familiar @ SV4 @ SV8 )
        = $true )
      | ( ( familiar @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(83,plain,
    ! [SV5: $i,SV10: $i,SV1: $i] :
      ( ( ( familiar @ SV1 @ SV10 )
        = $false )
      | ( ( familiar @ SV5 @ SV10 )
        = $false )
      | ( ( familiar @ SV1 @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[79]) ).

thf(84,plain,
    ! [SV6: $i,SV11: $i,SV2: $i] :
      ( ( ( not_familiar @ SV2 @ SV11 )
        = $false )
      | ( ( not_familiar @ SV6 @ SV11 )
        = $false )
      | ( ( not_familiar @ SV2 @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[80]) ).

thf(85,plain,
    ! [SV4: $i,SV8: $i] :
      ( ( ( person @ SV8 )
        = $false )
      | ( ( ~ ( after @ SV4 @ SV8 ) )
        = $true )
      | ( ( person @ SV4 )
        = $false )
      | ( ( not_familiar @ SV4 @ SV8 )
        = $true )
      | ( ( familiar @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV8: $i,SV4: $i] :
      ( ( ( after @ SV4 @ SV8 )
        = $false )
      | ( ( person @ SV8 )
        = $false )
      | ( ( person @ SV4 )
        = $false )
      | ( ( not_familiar @ SV4 @ SV8 )
        = $true )
      | ( ( familiar @ SV4 @ SV8 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(87,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[40,86,84,83,81,58,50,49,48,47,46,45,44,43,42,41]) ).

thf(88,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[87]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : PUZ028-5 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.12/0.34  % Computer : n024.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 : Sat May 28 20:05:36 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.12/0.34  
% 0.12/0.34   No.of.Axioms: 15
% 0.12/0.34  
% 0.12/0.34   Length.of.Defs: 0
% 0.12/0.34  
% 0.12/0.34   Contains.Choice.Funs: false
% 0.12/0.35  (rf:0,axioms:15,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:17,loop_count:0,foatp_calls:0,translation:fof_full)...
% 0.46/0.66  
% 0.46/0.66  ********************************
% 0.46/0.66  *   All subproblems solved!    *
% 0.46/0.66  ********************************
% 0.46/0.66  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,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:87,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.46/0.67  
% 0.46/0.67  %**** Beginning of derivation protocol ****
% 0.46/0.67  % SZS output start CNFRefutation
% See solution above
% 0.46/0.67  
% 0.46/0.67  %**** End of derivation protocol ****
% 0.46/0.67  %**** no. of clauses in derivation: 88 ****
% 0.46/0.67  %**** clause counter: 87 ****
% 0.46/0.67  
% 0.46/0.67  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:15,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:87,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------