TSTP Solution File: PUZ029-1 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% 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 : Mon Jul 18 18:19:19 EDT 2022

% Result   : Unsatisfiable 0.15s 0.35s
% Output   : CNFRefutation 0.15s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   10
%            Number of leaves      :   30
% Syntax   : Number of formulae    :  119 (  54 unt;  14 typ;   0 def)
%            Number of atoms       :  569 ( 149 equ;   0 cnn)
%            Maximal formula atoms :    4 (   5 avg)
%            Number of connectives :  548 ( 119   ~; 166   |;   0   &; 263   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    6 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   13 (  13   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  14 usr;   3 con; 0-2 aty)
%            Number of variables   :   85 (   0   ^  85   !;   0   ?;  85   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_balloonist,type,
    balloonist: $i > $o ).

thf(tp_dances_on_tightropes,type,
    dances_on_tightropes: $i > $o ).

thf(tp_eats_lunch_in_public,type,
    eats_lunch_in_public: $i > $o ).

thf(tp_eats_pennybuns,type,
    eats_pennybuns: $i > $o ).

thf(tp_fat,type,
    fat: $i > $o ).

thf(tp_has_umbrella,type,
    has_umbrella: $i > $o ).

thf(tp_liable_to_giddiness,type,
    liable_to_giddiness: $i > $o ).

thf(tp_looks_ridiculous,type,
    looks_ridiculous: $i > $o ).

thf(tp_old,type,
    old: $i > $o ).

thf(tp_pig,type,
    pig: $i > $o ).

thf(tp_piggy,type,
    piggy: $i ).

thf(tp_treated_with_respect,type,
    treated_with_respect: $i > $o ).

thf(tp_wise,type,
    wise: $i > $o ).

thf(tp_young,type,
    young: $i > $o ).

thf(1,axiom,
    ! [X: $i] :
      ( ~ ( young @ X )
      | ~ ( old @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_young_and_old) ).

thf(2,axiom,
    ! [X: $i] :
      ( ( young @ X )
      | ( old @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',young_or_old) ).

thf(3,axiom,
    ! [X: $i] :
      ( ( dances_on_tightropes @ X )
      | ~ ( treated_with_respect @ X )
      | ( fat @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',non_dancers_who_are_respected_are_fat) ).

thf(4,axiom,
    ! [X: $i] :
      ( ~ ( pig @ X )
      | ~ ( has_umbrella @ X )
      | ( looks_ridiculous @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',pigs_look_ridiculous_with_umbrellas) ).

thf(5,axiom,
    ! [X: $i] :
      ( ~ ( liable_to_giddiness @ X )
      | ~ ( wise @ X )
      | ~ ( dances_on_tightropes @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_giddy_dont_dance_on_tightrope) ).

thf(6,axiom,
    ! [X: $i] :
      ( ~ ( fat @ X )
      | ~ ( looks_ridiculous @ X )
      | ( dances_on_tightropes @ X )
      | ( eats_lunch_in_public @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',fat_ridiculous_off_tightrope_eat_in_public) ).

thf(7,axiom,
    ! [X: $i] :
      ( ~ ( balloonist @ X )
      | ~ ( young @ X )
      | ( liable_to_giddiness @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',young_balloonists_get_giddy) ).

thf(8,axiom,
    ! [X: $i] :
      ( ~ ( looks_ridiculous @ X )
      | ~ ( eats_pennybuns @ X )
      | ~ ( eats_lunch_in_public @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dont_look_ridiculous_eating_buns_in_public) ).

thf(9,axiom,
    ! [X: $i] :
      ( ~ ( wise @ X )
      | ~ ( balloonist @ X )
      | ( has_umbrella @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',wise_ballonists_have_umbrellas) ).

thf(10,axiom,
    ! [X: $i] :
      ( ~ ( pig @ X )
      | ~ ( liable_to_giddiness @ X )
      | ( treated_with_respect @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',giddy_pigs_reated_with_respect) ).

thf(11,axiom,
    ! [X: $i] :
      ( ( dances_on_tightropes @ X )
      | ( eats_pennybuns @ X )
      | ( old @ X ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',boring_old_people) ).

thf(12,axiom,
    pig @ piggy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_a_pig) ).

thf(13,axiom,
    young @ piggy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_young) ).

thf(14,axiom,
    wise @ piggy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',piggy_is_wise) ).

thf(15,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(16,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[15]) ).

thf(17,negated_conjecture,
    balloonist @ piggy,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_piggy_is_no_balloonist) ).

thf(18,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[16]) ).

thf(19,plain,
    ( ( ! [X: $i] :
          ( ~ ( young @ X )
          | ~ ( old @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(20,plain,
    ( ( ! [X: $i] :
          ( ( young @ X )
          | ( old @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(21,plain,
    ( ( ! [X: $i] :
          ( ( dances_on_tightropes @ X )
          | ~ ( treated_with_respect @ X )
          | ( fat @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(22,plain,
    ( ( ! [X: $i] :
          ( ~ ( pig @ X )
          | ~ ( has_umbrella @ X )
          | ( looks_ridiculous @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(23,plain,
    ( ( ! [X: $i] :
          ( ~ ( liable_to_giddiness @ X )
          | ~ ( wise @ X )
          | ~ ( dances_on_tightropes @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(24,plain,
    ( ( ! [X: $i] :
          ( ~ ( fat @ X )
          | ~ ( looks_ridiculous @ X )
          | ( dances_on_tightropes @ X )
          | ( eats_lunch_in_public @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(25,plain,
    ( ( ! [X: $i] :
          ( ~ ( balloonist @ X )
          | ~ ( young @ X )
          | ( liable_to_giddiness @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(26,plain,
    ( ( ! [X: $i] :
          ( ~ ( looks_ridiculous @ X )
          | ~ ( eats_pennybuns @ X )
          | ~ ( eats_lunch_in_public @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(27,plain,
    ( ( ! [X: $i] :
          ( ~ ( wise @ X )
          | ~ ( balloonist @ X )
          | ( has_umbrella @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(28,plain,
    ( ( ! [X: $i] :
          ( ~ ( pig @ X )
          | ~ ( liable_to_giddiness @ X )
          | ( treated_with_respect @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(29,plain,
    ( ( ! [X: $i] :
          ( ( dances_on_tightropes @ X )
          | ( eats_pennybuns @ X )
          | ( old @ X ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

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

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

thf(32,plain,
    ( ( wise @ piggy )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(33,plain,
    ( ( balloonist @ piggy )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

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

thf(35,plain,
    ( ( ! [X: $i] :
          ( ( old @ X )
          | ( young @ X ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(36,plain,
    ( ( balloonist @ piggy )
    = $true ),
    inference(copy,[status(thm)],[33]) ).

thf(37,plain,
    ( ( wise @ piggy )
    = $true ),
    inference(copy,[status(thm)],[32]) ).

thf(38,plain,
    ( ( young @ piggy )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(39,plain,
    ( ( pig @ piggy )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(40,plain,
    ( ( ! [X: $i] :
          ( ( dances_on_tightropes @ X )
          | ( eats_pennybuns @ X )
          | ( old @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(41,plain,
    ( ( ! [X: $i] :
          ( ~ ( pig @ X )
          | ~ ( liable_to_giddiness @ X )
          | ( treated_with_respect @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(42,plain,
    ( ( ! [X: $i] :
          ( ~ ( wise @ X )
          | ~ ( balloonist @ X )
          | ( has_umbrella @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(43,plain,
    ( ( ! [X: $i] :
          ( ~ ( looks_ridiculous @ X )
          | ~ ( eats_pennybuns @ X )
          | ~ ( eats_lunch_in_public @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(44,plain,
    ( ( ! [X: $i] :
          ( ~ ( balloonist @ X )
          | ~ ( young @ X )
          | ( liable_to_giddiness @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[25]) ).

thf(45,plain,
    ( ( ! [X: $i] :
          ( ~ ( fat @ X )
          | ~ ( looks_ridiculous @ X )
          | ( dances_on_tightropes @ X )
          | ( eats_lunch_in_public @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(46,plain,
    ( ( ! [X: $i] :
          ( ~ ( liable_to_giddiness @ X )
          | ~ ( wise @ X )
          | ~ ( dances_on_tightropes @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(47,plain,
    ( ( ! [X: $i] :
          ( ~ ( pig @ X )
          | ~ ( has_umbrella @ X )
          | ( looks_ridiculous @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[22]) ).

thf(48,plain,
    ( ( ! [X: $i] :
          ( ( dances_on_tightropes @ X )
          | ~ ( treated_with_respect @ X )
          | ( fat @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[21]) ).

thf(49,plain,
    ( ( ! [X: $i] :
          ( ( old @ X )
          | ( young @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[35]) ).

thf(50,plain,
    ( ( ! [X: $i] :
          ( ~ ( young @ X )
          | ~ ( old @ X ) ) )
    = $true ),
    inference(copy,[status(thm)],[19]) ).

thf(51,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[34]) ).

thf(52,plain,
    ! [SV1: $i] :
      ( ( ( dances_on_tightropes @ SV1 )
        | ( eats_pennybuns @ SV1 )
        | ( old @ SV1 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(53,plain,
    ! [SV2: $i] :
      ( ( ~ ( pig @ SV2 )
        | ~ ( liable_to_giddiness @ SV2 )
        | ( treated_with_respect @ SV2 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(54,plain,
    ! [SV3: $i] :
      ( ( ~ ( wise @ SV3 )
        | ~ ( balloonist @ SV3 )
        | ( has_umbrella @ SV3 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[42]) ).

thf(55,plain,
    ! [SV4: $i] :
      ( ( ~ ( looks_ridiculous @ SV4 )
        | ~ ( eats_pennybuns @ SV4 )
        | ~ ( eats_lunch_in_public @ SV4 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[43]) ).

thf(56,plain,
    ! [SV5: $i] :
      ( ( ~ ( balloonist @ SV5 )
        | ~ ( young @ SV5 )
        | ( liable_to_giddiness @ SV5 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(57,plain,
    ! [SV6: $i] :
      ( ( ~ ( fat @ SV6 )
        | ~ ( looks_ridiculous @ SV6 )
        | ( dances_on_tightropes @ SV6 )
        | ( eats_lunch_in_public @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[45]) ).

thf(58,plain,
    ! [SV7: $i] :
      ( ( ~ ( liable_to_giddiness @ SV7 )
        | ~ ( wise @ SV7 )
        | ~ ( dances_on_tightropes @ SV7 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[46]) ).

thf(59,plain,
    ! [SV8: $i] :
      ( ( ~ ( pig @ SV8 )
        | ~ ( has_umbrella @ SV8 )
        | ( looks_ridiculous @ SV8 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[47]) ).

thf(60,plain,
    ! [SV9: $i] :
      ( ( ( dances_on_tightropes @ SV9 )
        | ~ ( treated_with_respect @ SV9 )
        | ( fat @ SV9 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[48]) ).

thf(61,plain,
    ! [SV10: $i] :
      ( ( ( old @ SV10 )
        | ( young @ SV10 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[49]) ).

thf(62,plain,
    ! [SV11: $i] :
      ( ( ~ ( young @ SV11 )
        | ~ ( old @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[50]) ).

thf(63,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[51]) ).

thf(64,plain,
    ! [SV1: $i] :
      ( ( ( dances_on_tightropes @ SV1 )
        = $true )
      | ( ( ( eats_pennybuns @ SV1 )
          | ( old @ SV1 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(65,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( pig @ SV2 ) )
        = $true )
      | ( ( ~ ( liable_to_giddiness @ SV2 )
          | ( treated_with_respect @ SV2 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(66,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( wise @ SV3 ) )
        = $true )
      | ( ( ~ ( balloonist @ SV3 )
          | ( has_umbrella @ SV3 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[54]) ).

thf(67,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( looks_ridiculous @ SV4 ) )
        = $true )
      | ( ( ~ ( eats_pennybuns @ SV4 )
          | ~ ( eats_lunch_in_public @ SV4 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[55]) ).

thf(68,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( balloonist @ SV5 ) )
        = $true )
      | ( ( ~ ( young @ SV5 )
          | ( liable_to_giddiness @ SV5 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[56]) ).

thf(69,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( fat @ SV6 ) )
        = $true )
      | ( ( ~ ( looks_ridiculous @ SV6 )
          | ( dances_on_tightropes @ SV6 )
          | ( eats_lunch_in_public @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[57]) ).

thf(70,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( liable_to_giddiness @ SV7 ) )
        = $true )
      | ( ( ~ ( wise @ SV7 )
          | ~ ( dances_on_tightropes @ SV7 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[58]) ).

thf(71,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( pig @ SV8 ) )
        = $true )
      | ( ( ~ ( has_umbrella @ SV8 )
          | ( looks_ridiculous @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[59]) ).

thf(72,plain,
    ! [SV9: $i] :
      ( ( ( dances_on_tightropes @ SV9 )
        = $true )
      | ( ( ~ ( treated_with_respect @ SV9 )
          | ( fat @ SV9 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[60]) ).

thf(73,plain,
    ! [SV10: $i] :
      ( ( ( old @ SV10 )
        = $true )
      | ( ( young @ SV10 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[61]) ).

thf(74,plain,
    ! [SV11: $i] :
      ( ( ( ~ ( young @ SV11 ) )
        = $true )
      | ( ( ~ ( old @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(75,plain,
    ! [SV1: $i] :
      ( ( ( eats_pennybuns @ SV1 )
        = $true )
      | ( ( old @ SV1 )
        = $true )
      | ( ( dances_on_tightropes @ SV1 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[64]) ).

thf(76,plain,
    ! [SV2: $i] :
      ( ( ( pig @ SV2 )
        = $false )
      | ( ( ~ ( liable_to_giddiness @ SV2 )
          | ( treated_with_respect @ SV2 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[65]) ).

thf(77,plain,
    ! [SV3: $i] :
      ( ( ( wise @ SV3 )
        = $false )
      | ( ( ~ ( balloonist @ SV3 )
          | ( has_umbrella @ SV3 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(78,plain,
    ! [SV4: $i] :
      ( ( ( looks_ridiculous @ SV4 )
        = $false )
      | ( ( ~ ( eats_pennybuns @ SV4 )
          | ~ ( eats_lunch_in_public @ SV4 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[67]) ).

thf(79,plain,
    ! [SV5: $i] :
      ( ( ( balloonist @ SV5 )
        = $false )
      | ( ( ~ ( young @ SV5 )
          | ( liable_to_giddiness @ SV5 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[68]) ).

thf(80,plain,
    ! [SV6: $i] :
      ( ( ( fat @ SV6 )
        = $false )
      | ( ( ~ ( looks_ridiculous @ SV6 )
          | ( dances_on_tightropes @ SV6 )
          | ( eats_lunch_in_public @ SV6 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[69]) ).

thf(81,plain,
    ! [SV7: $i] :
      ( ( ( liable_to_giddiness @ SV7 )
        = $false )
      | ( ( ~ ( wise @ SV7 )
          | ~ ( dances_on_tightropes @ SV7 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(82,plain,
    ! [SV8: $i] :
      ( ( ( pig @ SV8 )
        = $false )
      | ( ( ~ ( has_umbrella @ SV8 )
          | ( looks_ridiculous @ SV8 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(83,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( treated_with_respect @ SV9 ) )
        = $true )
      | ( ( fat @ SV9 )
        = $true )
      | ( ( dances_on_tightropes @ SV9 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[72]) ).

thf(84,plain,
    ! [SV11: $i] :
      ( ( ( young @ SV11 )
        = $false )
      | ( ( ~ ( old @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[74]) ).

thf(85,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( liable_to_giddiness @ SV2 ) )
        = $true )
      | ( ( treated_with_respect @ SV2 )
        = $true )
      | ( ( pig @ SV2 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[76]) ).

thf(86,plain,
    ! [SV3: $i] :
      ( ( ( ~ ( balloonist @ SV3 ) )
        = $true )
      | ( ( has_umbrella @ SV3 )
        = $true )
      | ( ( wise @ SV3 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[77]) ).

thf(87,plain,
    ! [SV4: $i] :
      ( ( ( ~ ( eats_pennybuns @ SV4 ) )
        = $true )
      | ( ( ~ ( eats_lunch_in_public @ SV4 ) )
        = $true )
      | ( ( looks_ridiculous @ SV4 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[78]) ).

thf(88,plain,
    ! [SV5: $i] :
      ( ( ( ~ ( young @ SV5 ) )
        = $true )
      | ( ( liable_to_giddiness @ SV5 )
        = $true )
      | ( ( balloonist @ SV5 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[79]) ).

thf(89,plain,
    ! [SV6: $i] :
      ( ( ( ~ ( looks_ridiculous @ SV6 ) )
        = $true )
      | ( ( ( dances_on_tightropes @ SV6 )
          | ( eats_lunch_in_public @ SV6 ) )
        = $true )
      | ( ( fat @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[80]) ).

thf(90,plain,
    ! [SV7: $i] :
      ( ( ( ~ ( wise @ SV7 ) )
        = $true )
      | ( ( ~ ( dances_on_tightropes @ SV7 ) )
        = $true )
      | ( ( liable_to_giddiness @ SV7 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[81]) ).

thf(91,plain,
    ! [SV8: $i] :
      ( ( ( ~ ( has_umbrella @ SV8 ) )
        = $true )
      | ( ( looks_ridiculous @ SV8 )
        = $true )
      | ( ( pig @ SV8 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[82]) ).

thf(92,plain,
    ! [SV9: $i] :
      ( ( ( treated_with_respect @ SV9 )
        = $false )
      | ( ( fat @ SV9 )
        = $true )
      | ( ( dances_on_tightropes @ SV9 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(93,plain,
    ! [SV11: $i] :
      ( ( ( old @ SV11 )
        = $false )
      | ( ( young @ SV11 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[84]) ).

thf(94,plain,
    ! [SV2: $i] :
      ( ( ( liable_to_giddiness @ SV2 )
        = $false )
      | ( ( treated_with_respect @ SV2 )
        = $true )
      | ( ( pig @ SV2 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[85]) ).

thf(95,plain,
    ! [SV3: $i] :
      ( ( ( balloonist @ SV3 )
        = $false )
      | ( ( has_umbrella @ SV3 )
        = $true )
      | ( ( wise @ SV3 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[86]) ).

thf(96,plain,
    ! [SV4: $i] :
      ( ( ( eats_pennybuns @ SV4 )
        = $false )
      | ( ( ~ ( eats_lunch_in_public @ SV4 ) )
        = $true )
      | ( ( looks_ridiculous @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[87]) ).

thf(97,plain,
    ! [SV5: $i] :
      ( ( ( young @ SV5 )
        = $false )
      | ( ( liable_to_giddiness @ SV5 )
        = $true )
      | ( ( balloonist @ SV5 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[88]) ).

thf(98,plain,
    ! [SV6: $i] :
      ( ( ( looks_ridiculous @ SV6 )
        = $false )
      | ( ( ( dances_on_tightropes @ SV6 )
          | ( eats_lunch_in_public @ SV6 ) )
        = $true )
      | ( ( fat @ SV6 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[89]) ).

thf(99,plain,
    ! [SV7: $i] :
      ( ( ( wise @ SV7 )
        = $false )
      | ( ( ~ ( dances_on_tightropes @ SV7 ) )
        = $true )
      | ( ( liable_to_giddiness @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[90]) ).

thf(100,plain,
    ! [SV8: $i] :
      ( ( ( has_umbrella @ SV8 )
        = $false )
      | ( ( looks_ridiculous @ SV8 )
        = $true )
      | ( ( pig @ SV8 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[91]) ).

thf(101,plain,
    ! [SV4: $i] :
      ( ( ( eats_lunch_in_public @ SV4 )
        = $false )
      | ( ( eats_pennybuns @ SV4 )
        = $false )
      | ( ( looks_ridiculous @ SV4 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[96]) ).

thf(102,plain,
    ! [SV6: $i] :
      ( ( ( dances_on_tightropes @ SV6 )
        = $true )
      | ( ( eats_lunch_in_public @ SV6 )
        = $true )
      | ( ( looks_ridiculous @ SV6 )
        = $false )
      | ( ( fat @ SV6 )
        = $false ) ),
    inference(extcnf_or_pos,[status(thm)],[98]) ).

thf(103,plain,
    ! [SV7: $i] :
      ( ( ( dances_on_tightropes @ SV7 )
        = $false )
      | ( ( wise @ SV7 )
        = $false )
      | ( ( liable_to_giddiness @ SV7 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[99]) ).

thf(104,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[36,103,102,101,100,97,95,94,93,92,75,73,63,39,38,37]) ).

thf(105,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[104]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09  % Problem  : PUZ029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.02/0.10  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.10/0.30  % Computer : n026.cluster.edu
% 0.10/0.30  % Model    : x86_64 x86_64
% 0.10/0.30  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30  % Memory   : 8042.1875MB
% 0.10/0.30  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30  % CPULimit : 300
% 0.10/0.30  % WCLimit  : 600
% 0.10/0.30  % DateTime : Sat May 28 20:39:24 EDT 2022
% 0.10/0.30  % CPUTime  : 
% 0.10/0.31  
% 0.10/0.31   No.of.Axioms: 15
% 0.10/0.31  
% 0.10/0.31   Length.of.Defs: 0
% 0.10/0.31  
% 0.10/0.31   Contains.Choice.Funs: false
% 0.15/0.31  (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)...
% 0.15/0.35  
% 0.15/0.35  ********************************
% 0.15/0.35  *   All subproblems solved!    *
% 0.15/0.35  ********************************
% 0.15/0.35  % 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:104,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.15/0.35  
% 0.15/0.35  %**** Beginning of derivation protocol ****
% 0.15/0.35  % SZS output start CNFRefutation
% See solution above
% 0.15/0.35  
% 0.15/0.35  %**** End of derivation protocol ****
% 0.15/0.35  %**** no. of clauses in derivation: 105 ****
% 0.15/0.35  %**** clause counter: 104 ****
% 0.15/0.35  
% 0.15/0.35  % 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:104,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------