TSTP Solution File: PUZ035-6 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : PUZ035-6 : 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 : n020.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 18:19:22 EDT 2022

% Result   : Unsatisfiable 0.20s 0.40s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   11
%            Number of leaves      :   21
% Syntax   : Number of formulae    :   97 (  46 unt;   9 typ;   0 def)
%            Number of atoms       :  424 ( 115 equ;   0 cnn)
%            Maximal formula atoms :    3 (   4 avg)
%            Number of connectives :  613 (  93   ~; 106   |;   0   &; 414   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    9 (   3 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   12 (   9 usr;   6 con; 0-2 aty)
%            Number of variables   :  130 (   0   ^ 130   !;   0   ?; 130   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_asked,type,
    asked: $i ).

thf(tp_isa,type,
    isa: $i > $i > $i ).

thf(tp_knave,type,
    knave: $i ).

thf(tp_knight,type,
    knight: $i ).

thf(tp_not,type,
    not: $i > $i ).

thf(tp_or,type,
    or: $i > $i > $i ).

thf(tp_other,type,
    other: $i ).

thf(tp_says,type,
    says: $i > $i > $o ).

thf(tp_truth,type,
    truth: $i > $o ).

thf(1,axiom,
    says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',says_yes) ).

thf(2,axiom,
    ! [C: $i] :
      ( ~ ( truth @ C )
      | ~ ( truth @ ( not @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not2) ).

thf(3,axiom,
    ! [C: $i] :
      ( ( truth @ C )
      | ( truth @ ( not @ C ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not1) ).

thf(4,axiom,
    ! [A: $i,B: $i] :
      ( ( truth @ ( or @ A @ B ) )
      | ~ ( truth @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or3) ).

thf(5,axiom,
    ! [A: $i,B: $i] :
      ( ( truth @ ( or @ A @ B ) )
      | ~ ( truth @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or2) ).

thf(6,axiom,
    ! [A: $i,B: $i] :
      ( ( truth @ A )
      | ( truth @ B )
      | ~ ( truth @ ( or @ A @ B ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',or1) ).

thf(7,axiom,
    ! [P: $i,S: $i] :
      ( ( truth @ ( isa @ P @ knight ) )
      | ~ ( truth @ S )
      | ~ ( says @ P @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements2) ).

thf(8,axiom,
    ! [S: $i,P: $i] :
      ( ( truth @ S )
      | ~ ( truth @ ( isa @ P @ knight ) )
      | ~ ( says @ P @ S ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',knights_make_true_statements1) ).

thf(9,axiom,
    ! [P: $i] :
      ( ~ ( truth @ ( isa @ P @ knight ) )
      | ~ ( truth @ ( isa @ P @ knave ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',not_both_a_knight_and_knave) ).

thf(10,axiom,
    ! [P: $i] :
      ( ( truth @ ( isa @ P @ knight ) )
      | ( truth @ ( isa @ P @ knave ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',everyone_a_knight_or_knave) ).

thf(11,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(12,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[11]) ).

thf(13,negated_conjecture,
    ! [X: $i,Y: $i] :
      ( ~ ( truth @ ( isa @ asked @ X ) )
      | ~ ( truth @ ( isa @ other @ Y ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',query) ).

thf(14,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[12]) ).

thf(15,plain,
    ( ( says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(16,plain,
    ( ( ! [C: $i] :
          ( ~ ( truth @ C )
          | ~ ( truth @ ( not @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(17,plain,
    ( ( ! [C: $i] :
          ( ( truth @ C )
          | ( truth @ ( not @ C ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(18,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( truth @ ( or @ A @ B ) )
          | ~ ( truth @ B ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(19,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( truth @ ( or @ A @ B ) )
          | ~ ( truth @ A ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(20,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( truth @ A )
          | ( truth @ B )
          | ~ ( truth @ ( or @ A @ B ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(21,plain,
    ( ( ! [P: $i,S: $i] :
          ( ( truth @ ( isa @ P @ knight ) )
          | ~ ( truth @ S )
          | ~ ( says @ P @ S ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(22,plain,
    ( ( ! [S: $i,P: $i] :
          ( ( truth @ S )
          | ~ ( truth @ ( isa @ P @ knight ) )
          | ~ ( says @ P @ S ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(23,plain,
    ( ( ! [P: $i] :
          ( ~ ( truth @ ( isa @ P @ knight ) )
          | ~ ( truth @ ( isa @ P @ knave ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(24,plain,
    ( ( ! [P: $i] :
          ( ( truth @ ( isa @ P @ knight ) )
          | ( truth @ ( isa @ P @ knave ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(25,plain,
    ( ( ! [X: $i,Y: $i] :
          ( ~ ( truth @ ( isa @ asked @ X ) )
          | ~ ( truth @ ( isa @ other @ Y ) ) ) )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(26,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[14]) ).

thf(27,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] : ( truth @ ( or @ A @ B ) )
          | ~ ( truth @ A ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[19]) ).

thf(28,plain,
    ( ( ! [A: $i] :
          ( ( truth @ A )
          | ! [B: $i] :
              ( ( truth @ B )
              | ~ ( truth @ ( or @ A @ B ) ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[20]) ).

thf(29,plain,
    ( ( ! [P: $i] :
          ( ( truth @ ( isa @ P @ knight ) )
          | ! [S: $i] :
              ( ~ ( truth @ S )
              | ~ ( says @ P @ S ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[21]) ).

thf(30,plain,
    ( ( ! [S: $i] :
          ( ( truth @ S )
          | ! [P: $i] :
              ( ~ ( truth @ ( isa @ P @ knight ) )
              | ~ ( says @ P @ S ) ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[22]) ).

thf(31,plain,
    ( ( ! [X: $i] :
          ~ ( truth @ ( isa @ asked @ X ) )
      | ! [Y: $i] :
          ~ ( truth @ ( isa @ other @ Y ) ) )
    = $true ),
    inference(extcnf_combined,[status(esa)],[25]) ).

thf(32,plain,
    ( ( ! [X: $i] :
          ~ ( truth @ ( isa @ asked @ X ) )
      | ! [Y: $i] :
          ~ ( truth @ ( isa @ other @ Y ) ) )
    = $true ),
    inference(copy,[status(thm)],[31]) ).

thf(33,plain,
    ( ( ! [P: $i] :
          ( ( truth @ ( isa @ P @ knight ) )
          | ( truth @ ( isa @ P @ knave ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[24]) ).

thf(34,plain,
    ( ( ! [P: $i] :
          ( ~ ( truth @ ( isa @ P @ knight ) )
          | ~ ( truth @ ( isa @ P @ knave ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[23]) ).

thf(35,plain,
    ( ( ! [S: $i] :
          ( ( truth @ S )
          | ! [P: $i] :
              ( ~ ( truth @ ( isa @ P @ knight ) )
              | ~ ( says @ P @ S ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[30]) ).

thf(36,plain,
    ( ( ! [P: $i] :
          ( ( truth @ ( isa @ P @ knight ) )
          | ! [S: $i] :
              ( ~ ( truth @ S )
              | ~ ( says @ P @ S ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[29]) ).

thf(37,plain,
    ( ( ! [A: $i] :
          ( ( truth @ A )
          | ! [B: $i] :
              ( ( truth @ B )
              | ~ ( truth @ ( or @ A @ B ) ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[28]) ).

thf(38,plain,
    ( ( ! [A: $i] :
          ( ! [B: $i] : ( truth @ ( or @ A @ B ) )
          | ~ ( truth @ A ) ) )
    = $true ),
    inference(copy,[status(thm)],[27]) ).

thf(39,plain,
    ( ( ! [A: $i,B: $i] :
          ( ( truth @ ( or @ A @ B ) )
          | ~ ( truth @ B ) ) )
    = $true ),
    inference(copy,[status(thm)],[18]) ).

thf(40,plain,
    ( ( ! [C: $i] :
          ( ( truth @ C )
          | ( truth @ ( not @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[17]) ).

thf(41,plain,
    ( ( ! [C: $i] :
          ( ~ ( truth @ C )
          | ~ ( truth @ ( not @ C ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[16]) ).

thf(42,plain,
    ( ( says @ asked @ ( not @ ( or @ ( isa @ asked @ knight ) @ ( isa @ other @ knight ) ) ) )
    = $true ),
    inference(copy,[status(thm)],[15]) ).

thf(43,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[26]) ).

thf(44,plain,
    ( ( ( ! [X: $i] :
            ~ ( truth @ ( isa @ asked @ X ) ) )
      = $true )
    | ( ( ! [Y: $i] :
            ~ ( truth @ ( isa @ other @ Y ) ) )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[32]) ).

thf(45,plain,
    ! [SV1: $i] :
      ( ( ( truth @ ( isa @ SV1 @ knight ) )
        | ( truth @ ( isa @ SV1 @ knave ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[33]) ).

thf(46,plain,
    ! [SV2: $i] :
      ( ( ~ ( truth @ ( isa @ SV2 @ knight ) )
        | ~ ( truth @ ( isa @ SV2 @ knave ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[34]) ).

thf(47,plain,
    ! [SV3: $i] :
      ( ( ( truth @ SV3 )
        | ! [SY16: $i] :
            ( ~ ( truth @ ( isa @ SY16 @ knight ) )
            | ~ ( says @ SY16 @ SV3 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[35]) ).

thf(48,plain,
    ! [SV4: $i] :
      ( ( ( truth @ ( isa @ SV4 @ knight ) )
        | ! [SY17: $i] :
            ( ~ ( truth @ SY17 )
            | ~ ( says @ SV4 @ SY17 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[36]) ).

thf(49,plain,
    ! [SV5: $i] :
      ( ( ( truth @ SV5 )
        | ! [SY18: $i] :
            ( ( truth @ SY18 )
            | ~ ( truth @ ( or @ SV5 @ SY18 ) ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[37]) ).

thf(50,plain,
    ! [SV6: $i] :
      ( ( ! [SY19: $i] : ( truth @ ( or @ SV6 @ SY19 ) )
        | ~ ( truth @ SV6 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[38]) ).

thf(51,plain,
    ! [SV7: $i] :
      ( ( ! [SY20: $i] :
            ( ( truth @ ( or @ SV7 @ SY20 ) )
            | ~ ( truth @ SY20 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[39]) ).

thf(52,plain,
    ! [SV8: $i] :
      ( ( ( truth @ SV8 )
        | ( truth @ ( not @ SV8 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[40]) ).

thf(53,plain,
    ! [SV9: $i] :
      ( ( ~ ( truth @ SV9 )
        | ~ ( truth @ ( not @ SV9 ) ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[41]) ).

thf(54,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[43]) ).

thf(55,plain,
    ! [SV10: $i] :
      ( ( ( ~ ( truth @ ( isa @ asked @ SV10 ) ) )
        = $true )
      | ( ( ! [Y: $i] :
              ~ ( truth @ ( isa @ other @ Y ) ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[44]) ).

thf(56,plain,
    ! [SV1: $i] :
      ( ( ( truth @ ( isa @ SV1 @ knight ) )
        = $true )
      | ( ( truth @ ( isa @ SV1 @ knave ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[45]) ).

thf(57,plain,
    ! [SV2: $i] :
      ( ( ( ~ ( truth @ ( isa @ SV2 @ knight ) ) )
        = $true )
      | ( ( ~ ( truth @ ( isa @ SV2 @ knave ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[46]) ).

thf(58,plain,
    ! [SV3: $i] :
      ( ( ( truth @ SV3 )
        = $true )
      | ( ( ! [SY16: $i] :
              ( ~ ( truth @ ( isa @ SY16 @ knight ) )
              | ~ ( says @ SY16 @ SV3 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[47]) ).

thf(59,plain,
    ! [SV4: $i] :
      ( ( ( truth @ ( isa @ SV4 @ knight ) )
        = $true )
      | ( ( ! [SY17: $i] :
              ( ~ ( truth @ SY17 )
              | ~ ( says @ SV4 @ SY17 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[48]) ).

thf(60,plain,
    ! [SV5: $i] :
      ( ( ( truth @ SV5 )
        = $true )
      | ( ( ! [SY18: $i] :
              ( ( truth @ SY18 )
              | ~ ( truth @ ( or @ SV5 @ SY18 ) ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[49]) ).

thf(61,plain,
    ! [SV6: $i] :
      ( ( ( ! [SY19: $i] : ( truth @ ( or @ SV6 @ SY19 ) ) )
        = $true )
      | ( ( ~ ( truth @ SV6 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[50]) ).

thf(62,plain,
    ! [SV11: $i,SV7: $i] :
      ( ( ( truth @ ( or @ SV7 @ SV11 ) )
        | ~ ( truth @ SV11 ) )
      = $true ),
    inference(extcnf_forall_pos,[status(thm)],[51]) ).

thf(63,plain,
    ! [SV8: $i] :
      ( ( ( truth @ SV8 )
        = $true )
      | ( ( truth @ ( not @ SV8 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[52]) ).

thf(64,plain,
    ! [SV9: $i] :
      ( ( ( ~ ( truth @ SV9 ) )
        = $true )
      | ( ( ~ ( truth @ ( not @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[53]) ).

thf(65,plain,
    ! [SV10: $i] :
      ( ( ( truth @ ( isa @ asked @ SV10 ) )
        = $false )
      | ( ( ! [Y: $i] :
              ~ ( truth @ ( isa @ other @ Y ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[55]) ).

thf(66,plain,
    ! [SV2: $i] :
      ( ( ( truth @ ( isa @ SV2 @ knight ) )
        = $false )
      | ( ( ~ ( truth @ ( isa @ SV2 @ knave ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[57]) ).

thf(67,plain,
    ! [SV3: $i,SV12: $i] :
      ( ( ( ~ ( truth @ ( isa @ SV12 @ knight ) )
          | ~ ( says @ SV12 @ SV3 ) )
        = $true )
      | ( ( truth @ SV3 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[58]) ).

thf(68,plain,
    ! [SV4: $i,SV13: $i] :
      ( ( ( ~ ( truth @ SV13 )
          | ~ ( says @ SV4 @ SV13 ) )
        = $true )
      | ( ( truth @ ( isa @ SV4 @ knight ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[59]) ).

thf(69,plain,
    ! [SV5: $i,SV14: $i] :
      ( ( ( ( truth @ SV14 )
          | ~ ( truth @ ( or @ SV5 @ SV14 ) ) )
        = $true )
      | ( ( truth @ SV5 )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[60]) ).

thf(70,plain,
    ! [SV15: $i,SV6: $i] :
      ( ( ( truth @ ( or @ SV6 @ SV15 ) )
        = $true )
      | ( ( ~ ( truth @ SV6 ) )
        = $true ) ),
    inference(extcnf_forall_pos,[status(thm)],[61]) ).

thf(71,plain,
    ! [SV11: $i,SV7: $i] :
      ( ( ( truth @ ( or @ SV7 @ SV11 ) )
        = $true )
      | ( ( ~ ( truth @ SV11 ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[62]) ).

thf(72,plain,
    ! [SV9: $i] :
      ( ( ( truth @ SV9 )
        = $false )
      | ( ( ~ ( truth @ ( not @ SV9 ) ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[64]) ).

thf(73,plain,
    ! [SV10: $i,SV16: $i] :
      ( ( ( ~ ( truth @ ( isa @ other @ SV16 ) ) )
        = $true )
      | ( ( truth @ ( isa @ asked @ SV10 ) )
        = $false ) ),
    inference(extcnf_forall_pos,[status(thm)],[65]) ).

thf(74,plain,
    ! [SV2: $i] :
      ( ( ( truth @ ( isa @ SV2 @ knave ) )
        = $false )
      | ( ( truth @ ( isa @ SV2 @ knight ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[66]) ).

thf(75,plain,
    ! [SV3: $i,SV12: $i] :
      ( ( ( ~ ( truth @ ( isa @ SV12 @ knight ) ) )
        = $true )
      | ( ( ~ ( says @ SV12 @ SV3 ) )
        = $true )
      | ( ( truth @ SV3 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[67]) ).

thf(76,plain,
    ! [SV4: $i,SV13: $i] :
      ( ( ( ~ ( truth @ SV13 ) )
        = $true )
      | ( ( ~ ( says @ SV4 @ SV13 ) )
        = $true )
      | ( ( truth @ ( isa @ SV4 @ knight ) )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[68]) ).

thf(77,plain,
    ! [SV5: $i,SV14: $i] :
      ( ( ( truth @ SV14 )
        = $true )
      | ( ( ~ ( truth @ ( or @ SV5 @ SV14 ) ) )
        = $true )
      | ( ( truth @ SV5 )
        = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[69]) ).

thf(78,plain,
    ! [SV15: $i,SV6: $i] :
      ( ( ( truth @ SV6 )
        = $false )
      | ( ( truth @ ( or @ SV6 @ SV15 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[70]) ).

thf(79,plain,
    ! [SV7: $i,SV11: $i] :
      ( ( ( truth @ SV11 )
        = $false )
      | ( ( truth @ ( or @ SV7 @ SV11 ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[71]) ).

thf(80,plain,
    ! [SV9: $i] :
      ( ( ( truth @ ( not @ SV9 ) )
        = $false )
      | ( ( truth @ SV9 )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[72]) ).

thf(81,plain,
    ! [SV10: $i,SV16: $i] :
      ( ( ( truth @ ( isa @ other @ SV16 ) )
        = $false )
      | ( ( truth @ ( isa @ asked @ SV10 ) )
        = $false ) ),
    inference(extcnf_not_pos,[status(thm)],[73]) ).

thf(82,plain,
    ! [SV3: $i,SV12: $i] :
      ( ( ( truth @ ( isa @ SV12 @ knight ) )
        = $false )
      | ( ( ~ ( says @ SV12 @ SV3 ) )
        = $true )
      | ( ( truth @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[75]) ).

thf(83,plain,
    ! [SV4: $i,SV13: $i] :
      ( ( ( truth @ SV13 )
        = $false )
      | ( ( ~ ( says @ SV4 @ SV13 ) )
        = $true )
      | ( ( truth @ ( isa @ SV4 @ knight ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[76]) ).

thf(84,plain,
    ! [SV14: $i,SV5: $i] :
      ( ( ( truth @ ( or @ SV5 @ SV14 ) )
        = $false )
      | ( ( truth @ SV14 )
        = $true )
      | ( ( truth @ SV5 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[77]) ).

thf(85,plain,
    ! [SV3: $i,SV12: $i] :
      ( ( ( says @ SV12 @ SV3 )
        = $false )
      | ( ( truth @ ( isa @ SV12 @ knight ) )
        = $false )
      | ( ( truth @ SV3 )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[82]) ).

thf(86,plain,
    ! [SV13: $i,SV4: $i] :
      ( ( ( says @ SV4 @ SV13 )
        = $false )
      | ( ( truth @ SV13 )
        = $false )
      | ( ( truth @ ( isa @ SV4 @ knight ) )
        = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[83]) ).

thf(87,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[42,86,85,84,81,80,79,78,74,63,56,54]) ).

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

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : PUZ035-6 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.35  % Computer : n020.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Sun May 29 00:42:09 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.13/0.36  
% 0.13/0.36   No.of.Axioms: 11
% 0.13/0.36  
% 0.13/0.36   Length.of.Defs: 0
% 0.13/0.36  
% 0.13/0.36   Contains.Choice.Funs: false
% 0.13/0.36  (rf:0,axioms:11,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:13,loop_count:0,foatp_calls:0,translation:fof_full)....
% 0.20/0.40  
% 0.20/0.40  ********************************
% 0.20/0.40  *   All subproblems solved!    *
% 0.20/0.40  ********************************
% 0.20/0.40  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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)
% 0.20/0.41  
% 0.20/0.41  %**** Beginning of derivation protocol ****
% 0.20/0.41  % SZS output start CNFRefutation
% See solution above
% 0.20/0.41  
% 0.20/0.41  %**** End of derivation protocol ****
% 0.20/0.41  %**** no. of clauses in derivation: 88 ****
% 0.20/0.41  %**** clause counter: 87 ****
% 0.20/0.41  
% 0.20/0.41  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : (rf:0,axioms:11,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)
%------------------------------------------------------------------------------