TSTP Solution File: SYN094-1.005 by LEO-II---1.7.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : LEO-II---1.7.0
% Problem  : SYN094-1.005 : 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 : n011.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 : Thu Jul 21 08:23:33 EDT 2022

% Result   : Unsatisfiable 0.20s 0.46s
% Output   : CNFRefutation 0.20s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :  146
% Syntax   : Number of formulae    :  582 ( 178 unt;  63 typ;   0 def)
%            Number of atoms       : 3429 ( 930 equ;   0 cnn)
%            Maximal formula atoms :    4 (   6 avg)
%            Number of connectives : 1662 ( 612   ~;1050   |;   0   &;   0   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    5 (   2 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   66 (  63 usr;  65 con; 0-2 aty)
%            Number of variables   :    0 (   0   ^   0   !;   0   ?;   0   :)

% Comments : 
%------------------------------------------------------------------------------
thf(tp_p_0,type,
    p_0: $o ).

thf(tp_p_1,type,
    p_1: $o ).

thf(tp_p_10,type,
    p_10: $o ).

thf(tp_p_2,type,
    p_2: $o ).

thf(tp_p_3,type,
    p_3: $o ).

thf(tp_p_4,type,
    p_4: $o ).

thf(tp_p_5,type,
    p_5: $o ).

thf(tp_p_6,type,
    p_6: $o ).

thf(tp_p_7,type,
    p_7: $o ).

thf(tp_p_8,type,
    p_8: $o ).

thf(tp_p_9,type,
    p_9: $o ).

thf(tp_q_0,type,
    q_0: $o ).

thf(tp_q_1,type,
    q_1: $o ).

thf(tp_q_10,type,
    q_10: $o ).

thf(tp_q_2,type,
    q_2: $o ).

thf(tp_q_3,type,
    q_3: $o ).

thf(tp_q_4,type,
    q_4: $o ).

thf(tp_q_5,type,
    q_5: $o ).

thf(tp_q_6,type,
    q_6: $o ).

thf(tp_q_7,type,
    q_7: $o ).

thf(tp_q_8,type,
    q_8: $o ).

thf(tp_q_9,type,
    q_9: $o ).

thf(tp_u_1,type,
    u_1: $o ).

thf(tp_u_10,type,
    u_10: $o ).

thf(tp_u_11,type,
    u_11: $o ).

thf(tp_u_12,type,
    u_12: $o ).

thf(tp_u_13,type,
    u_13: $o ).

thf(tp_u_14,type,
    u_14: $o ).

thf(tp_u_15,type,
    u_15: $o ).

thf(tp_u_16,type,
    u_16: $o ).

thf(tp_u_17,type,
    u_17: $o ).

thf(tp_u_18,type,
    u_18: $o ).

thf(tp_u_19,type,
    u_19: $o ).

thf(tp_u_2,type,
    u_2: $o ).

thf(tp_u_20,type,
    u_20: $o ).

thf(tp_u_21,type,
    u_21: $o ).

thf(tp_u_22,type,
    u_22: $o ).

thf(tp_u_23,type,
    u_23: $o ).

thf(tp_u_24,type,
    u_24: $o ).

thf(tp_u_25,type,
    u_25: $o ).

thf(tp_u_26,type,
    u_26: $o ).

thf(tp_u_27,type,
    u_27: $o ).

thf(tp_u_28,type,
    u_28: $o ).

thf(tp_u_29,type,
    u_29: $o ).

thf(tp_u_3,type,
    u_3: $o ).

thf(tp_u_30,type,
    u_30: $o ).

thf(tp_u_31,type,
    u_31: $o ).

thf(tp_u_32,type,
    u_32: $o ).

thf(tp_u_33,type,
    u_33: $o ).

thf(tp_u_34,type,
    u_34: $o ).

thf(tp_u_35,type,
    u_35: $o ).

thf(tp_u_36,type,
    u_36: $o ).

thf(tp_u_37,type,
    u_37: $o ).

thf(tp_u_38,type,
    u_38: $o ).

thf(tp_u_39,type,
    u_39: $o ).

thf(tp_u_4,type,
    u_4: $o ).

thf(tp_u_40,type,
    u_40: $o ).

thf(tp_u_41,type,
    u_41: $o ).

thf(tp_u_5,type,
    u_5: $o ).

thf(tp_u_6,type,
    u_6: $o ).

thf(tp_u_7,type,
    u_7: $o ).

thf(tp_u_8,type,
    u_8: $o ).

thf(tp_u_9,type,
    u_9: $o ).

thf(1,axiom,
    ( q_9
    | ~ u_41 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_41_t3_4) ).

thf(2,axiom,
    ( u_41
    | q_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_4) ).

thf(3,axiom,
    ( q_8
    | ~ u_40 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_40_t3_3) ).

thf(4,axiom,
    ( u_40
    | q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_3) ).

thf(5,axiom,
    ( p_9
    | ~ u_39 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_39_t3_2) ).

thf(6,axiom,
    ( u_39
    | p_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_2) ).

thf(7,axiom,
    ( p_8
    | ~ u_38 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_38_t3_1) ).

thf(8,axiom,
    ( u_38
    | p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_t3_1) ).

thf(9,axiom,
    ( q_10
    | ~ u_37 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_37_s3_type2_4) ).

thf(10,axiom,
    ( u_37
    | q_10
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_4) ).

thf(11,axiom,
    ( q_9
    | ~ u_36 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_36_s3_type2_3) ).

thf(12,axiom,
    ( u_36
    | q_9
    | ~ q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_3) ).

thf(13,axiom,
    ( p_10
    | ~ u_35 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_35_s3_type2_2) ).

thf(14,axiom,
    ( u_35
    | p_10
    | ~ p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_2) ).

thf(15,axiom,
    ( p_9
    | ~ u_34 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_34_s3_type2_1) ).

thf(16,axiom,
    ( u_34
    | p_9
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type2_1) ).

thf(17,axiom,
    ( q_7
    | ~ u_33 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_33_s3_type12_16) ).

thf(18,axiom,
    ( u_33
    | q_7
    | ~ q_8
    | ~ p_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_16) ).

thf(19,axiom,
    ( q_7
    | ~ u_32 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_32_s3_type12_15) ).

thf(20,axiom,
    ( u_32
    | q_7
    | ~ p_8
    | ~ q_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_15) ).

thf(21,axiom,
    ( q_6
    | ~ u_31 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_31_s3_type12_14) ).

thf(22,axiom,
    ( u_31
    | q_6
    | ~ q_7
    | ~ p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_14) ).

thf(23,axiom,
    ( q_6
    | ~ u_30 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_30_s3_type12_13) ).

thf(24,axiom,
    ( u_30
    | q_6
    | ~ p_7
    | ~ q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_13) ).

thf(25,axiom,
    ( q_5
    | ~ u_29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_29_s3_type12_12) ).

thf(26,axiom,
    ( u_29
    | q_5
    | ~ q_6
    | ~ p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_12) ).

thf(27,axiom,
    ( q_5
    | ~ u_28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_28_s3_type12_11) ).

thf(28,axiom,
    ( u_28
    | q_5
    | ~ p_6
    | ~ q_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_11) ).

thf(29,axiom,
    ( q_4
    | ~ u_27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_27_s3_type12_10) ).

thf(30,axiom,
    ( u_27
    | q_4
    | ~ q_5
    | ~ p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_10) ).

thf(31,axiom,
    ( q_4
    | ~ u_26 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_26_s3_type12_9) ).

thf(32,axiom,
    ( u_26
    | q_4
    | ~ p_5
    | ~ q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_9) ).

thf(33,axiom,
    ( q_3
    | ~ u_25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_25_s3_type12_8) ).

thf(34,axiom,
    ( u_25
    | q_3
    | ~ q_4
    | ~ p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_8) ).

thf(35,axiom,
    ( q_3
    | ~ u_24 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_24_s3_type12_7) ).

thf(36,axiom,
    ( u_24
    | q_3
    | ~ p_4
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_7) ).

thf(37,axiom,
    ( q_2
    | ~ u_23 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_23_s3_type12_6) ).

thf(38,axiom,
    ( u_23
    | q_2
    | ~ q_3
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_6) ).

thf(39,axiom,
    ( q_2
    | ~ u_22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_22_s3_type12_5) ).

thf(40,axiom,
    ( u_22
    | q_2
    | ~ p_3
    | ~ q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_5) ).

thf(41,axiom,
    ( q_1
    | ~ u_21 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_21_s3_type12_4) ).

thf(42,axiom,
    ( u_21
    | q_1
    | ~ q_2
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_4) ).

thf(43,axiom,
    ( q_1
    | ~ u_20 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_20_s3_type12_3) ).

thf(44,axiom,
    ( u_20
    | q_1
    | ~ p_2
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_3) ).

thf(45,axiom,
    ( q_0
    | ~ u_19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_19_s3_type12_2) ).

thf(46,axiom,
    ( u_19
    | q_0
    | ~ q_1
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_2) ).

thf(47,axiom,
    ( q_0
    | ~ u_18 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_18_s3_type12_1) ).

thf(48,axiom,
    ( u_18
    | q_0
    | ~ p_1
    | ~ q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type12_1) ).

thf(49,axiom,
    ( p_7
    | ~ u_17 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_17_s3_type11_16) ).

thf(50,axiom,
    ( u_17
    | p_7
    | ~ q_8
    | ~ q_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_16) ).

thf(51,axiom,
    ( p_7
    | ~ u_16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_16_s3_type11_15) ).

thf(52,axiom,
    ( u_16
    | p_7
    | ~ p_8
    | ~ p_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_15) ).

thf(53,axiom,
    ( p_6
    | ~ u_15 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_15_s3_type11_14) ).

thf(54,axiom,
    ( u_15
    | p_6
    | ~ q_7
    | ~ q_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_14) ).

thf(55,axiom,
    ( p_6
    | ~ u_14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_14_s3_type11_13) ).

thf(56,axiom,
    ( u_14
    | p_6
    | ~ p_7
    | ~ p_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_13) ).

thf(57,axiom,
    ( p_5
    | ~ u_13 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_13_s3_type11_12) ).

thf(58,axiom,
    ( u_13
    | p_5
    | ~ q_6
    | ~ q_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_12) ).

thf(59,axiom,
    ( p_5
    | ~ u_12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_12_s3_type11_11) ).

thf(60,axiom,
    ( u_12
    | p_5
    | ~ p_6
    | ~ p_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_11) ).

thf(61,axiom,
    ( p_4
    | ~ u_11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_11_s3_type11_10) ).

thf(62,axiom,
    ( u_11
    | p_4
    | ~ q_5
    | ~ q_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_10) ).

thf(63,axiom,
    ( p_4
    | ~ u_10 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_10_s3_type11_9) ).

thf(64,axiom,
    ( u_10
    | p_4
    | ~ p_5
    | ~ p_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_9) ).

thf(65,axiom,
    ( p_3
    | ~ u_9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_9_s3_type11_8) ).

thf(66,axiom,
    ( u_9
    | p_3
    | ~ q_4
    | ~ q_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_8) ).

thf(67,axiom,
    ( p_3
    | ~ u_8 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_8_s3_type11_7) ).

thf(68,axiom,
    ( u_8
    | p_3
    | ~ p_4
    | ~ p_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_7) ).

thf(69,axiom,
    ( p_2
    | ~ u_7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_7_s3_type11_6) ).

thf(70,axiom,
    ( u_7
    | p_2
    | ~ q_3
    | ~ q_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_6) ).

thf(71,axiom,
    ( p_2
    | ~ u_6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_6_s3_type11_5) ).

thf(72,axiom,
    ( u_6
    | p_2
    | ~ p_3
    | ~ p_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_5) ).

thf(73,axiom,
    ( p_1
    | ~ u_5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_5_s3_type11_4) ).

thf(74,axiom,
    ( u_5
    | p_1
    | ~ q_2
    | ~ q_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_4) ).

thf(75,axiom,
    ( p_1
    | ~ u_4 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_4_s3_type11_3) ).

thf(76,axiom,
    ( u_4
    | p_1
    | ~ p_2
    | ~ p_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_3) ).

thf(77,axiom,
    ( p_0
    | ~ u_3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_3_s3_type11_2) ).

thf(78,axiom,
    ( u_3
    | p_0
    | ~ q_1
    | ~ q_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_2) ).

thf(79,axiom,
    ( p_0
    | ~ u_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_2_s3_type11_1) ).

thf(80,axiom,
    ( u_2
    | p_0
    | ~ p_1
    | ~ p_2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_type11_1) ).

thf(81,axiom,
    ~ u_1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_1_s3_goal_1) ).

thf(82,conjecture,
    $false,
    file('no conjecture given, we try to refute the axioms',dummy_conjecture) ).

thf(83,negated_conjecture,
    $false = $false,
    inference(negate_conjecture,[status(cth)],[82]) ).

thf(84,negated_conjecture,
    ( u_1
    | ~ p_0
    | ~ q_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',u_s3_goal_1) ).

thf(85,plain,
    $false = $false,
    inference(unfold_def,[status(thm)],[83]) ).

thf(86,plain,
    ( ( q_9
      | ~ u_41 )
    = $true ),
    inference(unfold_def,[status(thm)],[1]) ).

thf(87,plain,
    ( ( u_41
      | q_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[2]) ).

thf(88,plain,
    ( ( q_8
      | ~ u_40 )
    = $true ),
    inference(unfold_def,[status(thm)],[3]) ).

thf(89,plain,
    ( ( u_40
      | q_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[4]) ).

thf(90,plain,
    ( ( p_9
      | ~ u_39 )
    = $true ),
    inference(unfold_def,[status(thm)],[5]) ).

thf(91,plain,
    ( ( u_39
      | p_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[6]) ).

thf(92,plain,
    ( ( p_8
      | ~ u_38 )
    = $true ),
    inference(unfold_def,[status(thm)],[7]) ).

thf(93,plain,
    ( ( u_38
      | p_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[8]) ).

thf(94,plain,
    ( ( q_10
      | ~ u_37 )
    = $true ),
    inference(unfold_def,[status(thm)],[9]) ).

thf(95,plain,
    ( ( u_37
      | q_10
      | ~ q_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[10]) ).

thf(96,plain,
    ( ( q_9
      | ~ u_36 )
    = $true ),
    inference(unfold_def,[status(thm)],[11]) ).

thf(97,plain,
    ( ( u_36
      | q_9
      | ~ q_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[12]) ).

thf(98,plain,
    ( ( p_10
      | ~ u_35 )
    = $true ),
    inference(unfold_def,[status(thm)],[13]) ).

thf(99,plain,
    ( ( u_35
      | p_10
      | ~ p_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[14]) ).

thf(100,plain,
    ( ( p_9
      | ~ u_34 )
    = $true ),
    inference(unfold_def,[status(thm)],[15]) ).

thf(101,plain,
    ( ( u_34
      | p_9
      | ~ p_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[16]) ).

thf(102,plain,
    ( ( q_7
      | ~ u_33 )
    = $true ),
    inference(unfold_def,[status(thm)],[17]) ).

thf(103,plain,
    ( ( u_33
      | q_7
      | ~ q_8
      | ~ p_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[18]) ).

thf(104,plain,
    ( ( q_7
      | ~ u_32 )
    = $true ),
    inference(unfold_def,[status(thm)],[19]) ).

thf(105,plain,
    ( ( u_32
      | q_7
      | ~ p_8
      | ~ q_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[20]) ).

thf(106,plain,
    ( ( q_6
      | ~ u_31 )
    = $true ),
    inference(unfold_def,[status(thm)],[21]) ).

thf(107,plain,
    ( ( u_31
      | q_6
      | ~ q_7
      | ~ p_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[22]) ).

thf(108,plain,
    ( ( q_6
      | ~ u_30 )
    = $true ),
    inference(unfold_def,[status(thm)],[23]) ).

thf(109,plain,
    ( ( u_30
      | q_6
      | ~ p_7
      | ~ q_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[24]) ).

thf(110,plain,
    ( ( q_5
      | ~ u_29 )
    = $true ),
    inference(unfold_def,[status(thm)],[25]) ).

thf(111,plain,
    ( ( u_29
      | q_5
      | ~ q_6
      | ~ p_7 )
    = $true ),
    inference(unfold_def,[status(thm)],[26]) ).

thf(112,plain,
    ( ( q_5
      | ~ u_28 )
    = $true ),
    inference(unfold_def,[status(thm)],[27]) ).

thf(113,plain,
    ( ( u_28
      | q_5
      | ~ p_6
      | ~ q_7 )
    = $true ),
    inference(unfold_def,[status(thm)],[28]) ).

thf(114,plain,
    ( ( q_4
      | ~ u_27 )
    = $true ),
    inference(unfold_def,[status(thm)],[29]) ).

thf(115,plain,
    ( ( u_27
      | q_4
      | ~ q_5
      | ~ p_6 )
    = $true ),
    inference(unfold_def,[status(thm)],[30]) ).

thf(116,plain,
    ( ( q_4
      | ~ u_26 )
    = $true ),
    inference(unfold_def,[status(thm)],[31]) ).

thf(117,plain,
    ( ( u_26
      | q_4
      | ~ p_5
      | ~ q_6 )
    = $true ),
    inference(unfold_def,[status(thm)],[32]) ).

thf(118,plain,
    ( ( q_3
      | ~ u_25 )
    = $true ),
    inference(unfold_def,[status(thm)],[33]) ).

thf(119,plain,
    ( ( u_25
      | q_3
      | ~ q_4
      | ~ p_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[34]) ).

thf(120,plain,
    ( ( q_3
      | ~ u_24 )
    = $true ),
    inference(unfold_def,[status(thm)],[35]) ).

thf(121,plain,
    ( ( u_24
      | q_3
      | ~ p_4
      | ~ q_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[36]) ).

thf(122,plain,
    ( ( q_2
      | ~ u_23 )
    = $true ),
    inference(unfold_def,[status(thm)],[37]) ).

thf(123,plain,
    ( ( u_23
      | q_2
      | ~ q_3
      | ~ p_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[38]) ).

thf(124,plain,
    ( ( q_2
      | ~ u_22 )
    = $true ),
    inference(unfold_def,[status(thm)],[39]) ).

thf(125,plain,
    ( ( u_22
      | q_2
      | ~ p_3
      | ~ q_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[40]) ).

thf(126,plain,
    ( ( q_1
      | ~ u_21 )
    = $true ),
    inference(unfold_def,[status(thm)],[41]) ).

thf(127,plain,
    ( ( u_21
      | q_1
      | ~ q_2
      | ~ p_3 )
    = $true ),
    inference(unfold_def,[status(thm)],[42]) ).

thf(128,plain,
    ( ( q_1
      | ~ u_20 )
    = $true ),
    inference(unfold_def,[status(thm)],[43]) ).

thf(129,plain,
    ( ( u_20
      | q_1
      | ~ p_2
      | ~ q_3 )
    = $true ),
    inference(unfold_def,[status(thm)],[44]) ).

thf(130,plain,
    ( ( q_0
      | ~ u_19 )
    = $true ),
    inference(unfold_def,[status(thm)],[45]) ).

thf(131,plain,
    ( ( u_19
      | q_0
      | ~ q_1
      | ~ p_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[46]) ).

thf(132,plain,
    ( ( q_0
      | ~ u_18 )
    = $true ),
    inference(unfold_def,[status(thm)],[47]) ).

thf(133,plain,
    ( ( u_18
      | q_0
      | ~ p_1
      | ~ q_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[48]) ).

thf(134,plain,
    ( ( p_7
      | ~ u_17 )
    = $true ),
    inference(unfold_def,[status(thm)],[49]) ).

thf(135,plain,
    ( ( u_17
      | p_7
      | ~ q_8
      | ~ q_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[50]) ).

thf(136,plain,
    ( ( p_7
      | ~ u_16 )
    = $true ),
    inference(unfold_def,[status(thm)],[51]) ).

thf(137,plain,
    ( ( u_16
      | p_7
      | ~ p_8
      | ~ p_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[52]) ).

thf(138,plain,
    ( ( p_6
      | ~ u_15 )
    = $true ),
    inference(unfold_def,[status(thm)],[53]) ).

thf(139,plain,
    ( ( u_15
      | p_6
      | ~ q_7
      | ~ q_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[54]) ).

thf(140,plain,
    ( ( p_6
      | ~ u_14 )
    = $true ),
    inference(unfold_def,[status(thm)],[55]) ).

thf(141,plain,
    ( ( u_14
      | p_6
      | ~ p_7
      | ~ p_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[56]) ).

thf(142,plain,
    ( ( p_5
      | ~ u_13 )
    = $true ),
    inference(unfold_def,[status(thm)],[57]) ).

thf(143,plain,
    ( ( u_13
      | p_5
      | ~ q_6
      | ~ q_7 )
    = $true ),
    inference(unfold_def,[status(thm)],[58]) ).

thf(144,plain,
    ( ( p_5
      | ~ u_12 )
    = $true ),
    inference(unfold_def,[status(thm)],[59]) ).

thf(145,plain,
    ( ( u_12
      | p_5
      | ~ p_6
      | ~ p_7 )
    = $true ),
    inference(unfold_def,[status(thm)],[60]) ).

thf(146,plain,
    ( ( p_4
      | ~ u_11 )
    = $true ),
    inference(unfold_def,[status(thm)],[61]) ).

thf(147,plain,
    ( ( u_11
      | p_4
      | ~ q_5
      | ~ q_6 )
    = $true ),
    inference(unfold_def,[status(thm)],[62]) ).

thf(148,plain,
    ( ( p_4
      | ~ u_10 )
    = $true ),
    inference(unfold_def,[status(thm)],[63]) ).

thf(149,plain,
    ( ( u_10
      | p_4
      | ~ p_5
      | ~ p_6 )
    = $true ),
    inference(unfold_def,[status(thm)],[64]) ).

thf(150,plain,
    ( ( p_3
      | ~ u_9 )
    = $true ),
    inference(unfold_def,[status(thm)],[65]) ).

thf(151,plain,
    ( ( u_9
      | p_3
      | ~ q_4
      | ~ q_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[66]) ).

thf(152,plain,
    ( ( p_3
      | ~ u_8 )
    = $true ),
    inference(unfold_def,[status(thm)],[67]) ).

thf(153,plain,
    ( ( u_8
      | p_3
      | ~ p_4
      | ~ p_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[68]) ).

thf(154,plain,
    ( ( p_2
      | ~ u_7 )
    = $true ),
    inference(unfold_def,[status(thm)],[69]) ).

thf(155,plain,
    ( ( u_7
      | p_2
      | ~ q_3
      | ~ q_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[70]) ).

thf(156,plain,
    ( ( p_2
      | ~ u_6 )
    = $true ),
    inference(unfold_def,[status(thm)],[71]) ).

thf(157,plain,
    ( ( u_6
      | p_2
      | ~ p_3
      | ~ p_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[72]) ).

thf(158,plain,
    ( ( p_1
      | ~ u_5 )
    = $true ),
    inference(unfold_def,[status(thm)],[73]) ).

thf(159,plain,
    ( ( u_5
      | p_1
      | ~ q_2
      | ~ q_3 )
    = $true ),
    inference(unfold_def,[status(thm)],[74]) ).

thf(160,plain,
    ( ( p_1
      | ~ u_4 )
    = $true ),
    inference(unfold_def,[status(thm)],[75]) ).

thf(161,plain,
    ( ( u_4
      | p_1
      | ~ p_2
      | ~ p_3 )
    = $true ),
    inference(unfold_def,[status(thm)],[76]) ).

thf(162,plain,
    ( ( p_0
      | ~ u_3 )
    = $true ),
    inference(unfold_def,[status(thm)],[77]) ).

thf(163,plain,
    ( ( u_3
      | p_0
      | ~ q_1
      | ~ q_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[78]) ).

thf(164,plain,
    ( ( p_0
      | ~ u_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[79]) ).

thf(165,plain,
    ( ( u_2
      | p_0
      | ~ p_1
      | ~ p_2 )
    = $true ),
    inference(unfold_def,[status(thm)],[80]) ).

thf(166,plain,
    ( ( ~ u_1 )
    = $true ),
    inference(unfold_def,[status(thm)],[81]) ).

thf(167,plain,
    ( ( u_1
      | ~ p_0
      | ~ q_0 )
    = $true ),
    inference(unfold_def,[status(thm)],[84]) ).

thf(168,plain,
    ( ( ~ $false )
    = $true ),
    inference(polarity_switch,[status(thm)],[85]) ).

thf(169,plain,
    ( ( q_9
      | u_41 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[87]) ).

thf(170,plain,
    ( ( q_8
      | u_40 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[89]) ).

thf(171,plain,
    ( ( p_9
      | u_39 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[91]) ).

thf(172,plain,
    ( ( p_8
      | u_38 )
    = $true ),
    inference(extcnf_combined,[status(esa)],[93]) ).

thf(173,plain,
    ( ( u_1
      | ~ p_0
      | ~ q_0 )
    = $true ),
    inference(copy,[status(thm)],[167]) ).

thf(174,plain,
    ( ( ~ u_1 )
    = $true ),
    inference(copy,[status(thm)],[166]) ).

thf(175,plain,
    ( ( u_2
      | p_0
      | ~ p_1
      | ~ p_2 )
    = $true ),
    inference(copy,[status(thm)],[165]) ).

thf(176,plain,
    ( ( p_0
      | ~ u_2 )
    = $true ),
    inference(copy,[status(thm)],[164]) ).

thf(177,plain,
    ( ( u_3
      | p_0
      | ~ q_1
      | ~ q_2 )
    = $true ),
    inference(copy,[status(thm)],[163]) ).

thf(178,plain,
    ( ( p_0
      | ~ u_3 )
    = $true ),
    inference(copy,[status(thm)],[162]) ).

thf(179,plain,
    ( ( u_4
      | p_1
      | ~ p_2
      | ~ p_3 )
    = $true ),
    inference(copy,[status(thm)],[161]) ).

thf(180,plain,
    ( ( p_1
      | ~ u_4 )
    = $true ),
    inference(copy,[status(thm)],[160]) ).

thf(181,plain,
    ( ( u_5
      | p_1
      | ~ q_2
      | ~ q_3 )
    = $true ),
    inference(copy,[status(thm)],[159]) ).

thf(182,plain,
    ( ( p_1
      | ~ u_5 )
    = $true ),
    inference(copy,[status(thm)],[158]) ).

thf(183,plain,
    ( ( u_6
      | p_2
      | ~ p_3
      | ~ p_4 )
    = $true ),
    inference(copy,[status(thm)],[157]) ).

thf(184,plain,
    ( ( p_2
      | ~ u_6 )
    = $true ),
    inference(copy,[status(thm)],[156]) ).

thf(185,plain,
    ( ( u_7
      | p_2
      | ~ q_3
      | ~ q_4 )
    = $true ),
    inference(copy,[status(thm)],[155]) ).

thf(186,plain,
    ( ( p_2
      | ~ u_7 )
    = $true ),
    inference(copy,[status(thm)],[154]) ).

thf(187,plain,
    ( ( u_8
      | p_3
      | ~ p_4
      | ~ p_5 )
    = $true ),
    inference(copy,[status(thm)],[153]) ).

thf(188,plain,
    ( ( p_3
      | ~ u_8 )
    = $true ),
    inference(copy,[status(thm)],[152]) ).

thf(189,plain,
    ( ( u_9
      | p_3
      | ~ q_4
      | ~ q_5 )
    = $true ),
    inference(copy,[status(thm)],[151]) ).

thf(190,plain,
    ( ( p_3
      | ~ u_9 )
    = $true ),
    inference(copy,[status(thm)],[150]) ).

thf(191,plain,
    ( ( u_10
      | p_4
      | ~ p_5
      | ~ p_6 )
    = $true ),
    inference(copy,[status(thm)],[149]) ).

thf(192,plain,
    ( ( p_4
      | ~ u_10 )
    = $true ),
    inference(copy,[status(thm)],[148]) ).

thf(193,plain,
    ( ( u_11
      | p_4
      | ~ q_5
      | ~ q_6 )
    = $true ),
    inference(copy,[status(thm)],[147]) ).

thf(194,plain,
    ( ( p_4
      | ~ u_11 )
    = $true ),
    inference(copy,[status(thm)],[146]) ).

thf(195,plain,
    ( ( u_12
      | p_5
      | ~ p_6
      | ~ p_7 )
    = $true ),
    inference(copy,[status(thm)],[145]) ).

thf(196,plain,
    ( ( p_5
      | ~ u_12 )
    = $true ),
    inference(copy,[status(thm)],[144]) ).

thf(197,plain,
    ( ( u_13
      | p_5
      | ~ q_6
      | ~ q_7 )
    = $true ),
    inference(copy,[status(thm)],[143]) ).

thf(198,plain,
    ( ( p_5
      | ~ u_13 )
    = $true ),
    inference(copy,[status(thm)],[142]) ).

thf(199,plain,
    ( ( u_14
      | p_6
      | ~ p_7
      | ~ p_8 )
    = $true ),
    inference(copy,[status(thm)],[141]) ).

thf(200,plain,
    ( ( p_6
      | ~ u_14 )
    = $true ),
    inference(copy,[status(thm)],[140]) ).

thf(201,plain,
    ( ( u_15
      | p_6
      | ~ q_7
      | ~ q_8 )
    = $true ),
    inference(copy,[status(thm)],[139]) ).

thf(202,plain,
    ( ( p_6
      | ~ u_15 )
    = $true ),
    inference(copy,[status(thm)],[138]) ).

thf(203,plain,
    ( ( u_16
      | p_7
      | ~ p_8
      | ~ p_9 )
    = $true ),
    inference(copy,[status(thm)],[137]) ).

thf(204,plain,
    ( ( p_7
      | ~ u_16 )
    = $true ),
    inference(copy,[status(thm)],[136]) ).

thf(205,plain,
    ( ( u_17
      | p_7
      | ~ q_8
      | ~ q_9 )
    = $true ),
    inference(copy,[status(thm)],[135]) ).

thf(206,plain,
    ( ( p_7
      | ~ u_17 )
    = $true ),
    inference(copy,[status(thm)],[134]) ).

thf(207,plain,
    ( ( u_18
      | q_0
      | ~ p_1
      | ~ q_2 )
    = $true ),
    inference(copy,[status(thm)],[133]) ).

thf(208,plain,
    ( ( q_0
      | ~ u_18 )
    = $true ),
    inference(copy,[status(thm)],[132]) ).

thf(209,plain,
    ( ( u_19
      | q_0
      | ~ q_1
      | ~ p_2 )
    = $true ),
    inference(copy,[status(thm)],[131]) ).

thf(210,plain,
    ( ( q_0
      | ~ u_19 )
    = $true ),
    inference(copy,[status(thm)],[130]) ).

thf(211,plain,
    ( ( u_20
      | q_1
      | ~ p_2
      | ~ q_3 )
    = $true ),
    inference(copy,[status(thm)],[129]) ).

thf(212,plain,
    ( ( q_1
      | ~ u_20 )
    = $true ),
    inference(copy,[status(thm)],[128]) ).

thf(213,plain,
    ( ( u_21
      | q_1
      | ~ q_2
      | ~ p_3 )
    = $true ),
    inference(copy,[status(thm)],[127]) ).

thf(214,plain,
    ( ( q_1
      | ~ u_21 )
    = $true ),
    inference(copy,[status(thm)],[126]) ).

thf(215,plain,
    ( ( u_22
      | q_2
      | ~ p_3
      | ~ q_4 )
    = $true ),
    inference(copy,[status(thm)],[125]) ).

thf(216,plain,
    ( ( q_2
      | ~ u_22 )
    = $true ),
    inference(copy,[status(thm)],[124]) ).

thf(217,plain,
    ( ( u_23
      | q_2
      | ~ q_3
      | ~ p_4 )
    = $true ),
    inference(copy,[status(thm)],[123]) ).

thf(218,plain,
    ( ( q_2
      | ~ u_23 )
    = $true ),
    inference(copy,[status(thm)],[122]) ).

thf(219,plain,
    ( ( u_24
      | q_3
      | ~ p_4
      | ~ q_5 )
    = $true ),
    inference(copy,[status(thm)],[121]) ).

thf(220,plain,
    ( ( q_3
      | ~ u_24 )
    = $true ),
    inference(copy,[status(thm)],[120]) ).

thf(221,plain,
    ( ( u_25
      | q_3
      | ~ q_4
      | ~ p_5 )
    = $true ),
    inference(copy,[status(thm)],[119]) ).

thf(222,plain,
    ( ( q_3
      | ~ u_25 )
    = $true ),
    inference(copy,[status(thm)],[118]) ).

thf(223,plain,
    ( ( u_26
      | q_4
      | ~ p_5
      | ~ q_6 )
    = $true ),
    inference(copy,[status(thm)],[117]) ).

thf(224,plain,
    ( ( q_4
      | ~ u_26 )
    = $true ),
    inference(copy,[status(thm)],[116]) ).

thf(225,plain,
    ( ( u_27
      | q_4
      | ~ q_5
      | ~ p_6 )
    = $true ),
    inference(copy,[status(thm)],[115]) ).

thf(226,plain,
    ( ( q_4
      | ~ u_27 )
    = $true ),
    inference(copy,[status(thm)],[114]) ).

thf(227,plain,
    ( ( u_28
      | q_5
      | ~ p_6
      | ~ q_7 )
    = $true ),
    inference(copy,[status(thm)],[113]) ).

thf(228,plain,
    ( ( q_5
      | ~ u_28 )
    = $true ),
    inference(copy,[status(thm)],[112]) ).

thf(229,plain,
    ( ( u_29
      | q_5
      | ~ q_6
      | ~ p_7 )
    = $true ),
    inference(copy,[status(thm)],[111]) ).

thf(230,plain,
    ( ( q_5
      | ~ u_29 )
    = $true ),
    inference(copy,[status(thm)],[110]) ).

thf(231,plain,
    ( ( u_30
      | q_6
      | ~ p_7
      | ~ q_8 )
    = $true ),
    inference(copy,[status(thm)],[109]) ).

thf(232,plain,
    ( ( q_6
      | ~ u_30 )
    = $true ),
    inference(copy,[status(thm)],[108]) ).

thf(233,plain,
    ( ( u_31
      | q_6
      | ~ q_7
      | ~ p_8 )
    = $true ),
    inference(copy,[status(thm)],[107]) ).

thf(234,plain,
    ( ( q_6
      | ~ u_31 )
    = $true ),
    inference(copy,[status(thm)],[106]) ).

thf(235,plain,
    ( ( u_32
      | q_7
      | ~ p_8
      | ~ q_9 )
    = $true ),
    inference(copy,[status(thm)],[105]) ).

thf(236,plain,
    ( ( q_7
      | ~ u_32 )
    = $true ),
    inference(copy,[status(thm)],[104]) ).

thf(237,plain,
    ( ( u_33
      | q_7
      | ~ q_8
      | ~ p_9 )
    = $true ),
    inference(copy,[status(thm)],[103]) ).

thf(238,plain,
    ( ( q_7
      | ~ u_33 )
    = $true ),
    inference(copy,[status(thm)],[102]) ).

thf(239,plain,
    ( ( u_34
      | p_9
      | ~ p_4 )
    = $true ),
    inference(copy,[status(thm)],[101]) ).

thf(240,plain,
    ( ( p_9
      | ~ u_34 )
    = $true ),
    inference(copy,[status(thm)],[100]) ).

thf(241,plain,
    ( ( u_35
      | p_10
      | ~ p_5 )
    = $true ),
    inference(copy,[status(thm)],[99]) ).

thf(242,plain,
    ( ( p_10
      | ~ u_35 )
    = $true ),
    inference(copy,[status(thm)],[98]) ).

thf(243,plain,
    ( ( u_36
      | q_9
      | ~ q_4 )
    = $true ),
    inference(copy,[status(thm)],[97]) ).

thf(244,plain,
    ( ( q_9
      | ~ u_36 )
    = $true ),
    inference(copy,[status(thm)],[96]) ).

thf(245,plain,
    ( ( u_37
      | q_10
      | ~ q_5 )
    = $true ),
    inference(copy,[status(thm)],[95]) ).

thf(246,plain,
    ( ( q_10
      | ~ u_37 )
    = $true ),
    inference(copy,[status(thm)],[94]) ).

thf(247,plain,
    ( ( p_8
      | u_38 )
    = $true ),
    inference(copy,[status(thm)],[172]) ).

thf(248,plain,
    ( ( p_8
      | ~ u_38 )
    = $true ),
    inference(copy,[status(thm)],[92]) ).

thf(249,plain,
    ( ( p_9
      | u_39 )
    = $true ),
    inference(copy,[status(thm)],[171]) ).

thf(250,plain,
    ( ( p_9
      | ~ u_39 )
    = $true ),
    inference(copy,[status(thm)],[90]) ).

thf(251,plain,
    ( ( q_8
      | u_40 )
    = $true ),
    inference(copy,[status(thm)],[170]) ).

thf(252,plain,
    ( ( q_8
      | ~ u_40 )
    = $true ),
    inference(copy,[status(thm)],[88]) ).

thf(253,plain,
    ( ( q_9
      | u_41 )
    = $true ),
    inference(copy,[status(thm)],[169]) ).

thf(254,plain,
    ( ( q_9
      | ~ u_41 )
    = $true ),
    inference(copy,[status(thm)],[86]) ).

thf(255,plain,
    ( ( ~ $false )
    = $true ),
    inference(copy,[status(thm)],[168]) ).

thf(256,plain,
    ( ( u_1 = $true )
    | ( ( ~ p_0
        | ~ q_0 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[173]) ).

thf(257,plain,
    u_1 = $false,
    inference(extcnf_not_pos,[status(thm)],[174]) ).

thf(258,plain,
    ( ( u_2 = $true )
    | ( ( p_0
        | ~ p_1
        | ~ p_2 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[175]) ).

thf(259,plain,
    ( ( p_0 = $true )
    | ( ( ~ u_2 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[176]) ).

thf(260,plain,
    ( ( u_3 = $true )
    | ( ( p_0
        | ~ q_1
        | ~ q_2 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[177]) ).

thf(261,plain,
    ( ( p_0 = $true )
    | ( ( ~ u_3 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[178]) ).

thf(262,plain,
    ( ( u_4 = $true )
    | ( ( p_1
        | ~ p_2
        | ~ p_3 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[179]) ).

thf(263,plain,
    ( ( p_1 = $true )
    | ( ( ~ u_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[180]) ).

thf(264,plain,
    ( ( u_5 = $true )
    | ( ( p_1
        | ~ q_2
        | ~ q_3 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[181]) ).

thf(265,plain,
    ( ( p_1 = $true )
    | ( ( ~ u_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[182]) ).

thf(266,plain,
    ( ( u_6 = $true )
    | ( ( p_2
        | ~ p_3
        | ~ p_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[183]) ).

thf(267,plain,
    ( ( p_2 = $true )
    | ( ( ~ u_6 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[184]) ).

thf(268,plain,
    ( ( u_7 = $true )
    | ( ( p_2
        | ~ q_3
        | ~ q_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[185]) ).

thf(269,plain,
    ( ( p_2 = $true )
    | ( ( ~ u_7 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[186]) ).

thf(270,plain,
    ( ( u_8 = $true )
    | ( ( p_3
        | ~ p_4
        | ~ p_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[187]) ).

thf(271,plain,
    ( ( p_3 = $true )
    | ( ( ~ u_8 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[188]) ).

thf(272,plain,
    ( ( u_9 = $true )
    | ( ( p_3
        | ~ q_4
        | ~ q_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[189]) ).

thf(273,plain,
    ( ( p_3 = $true )
    | ( ( ~ u_9 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[190]) ).

thf(274,plain,
    ( ( u_10 = $true )
    | ( ( p_4
        | ~ p_5
        | ~ p_6 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[191]) ).

thf(275,plain,
    ( ( p_4 = $true )
    | ( ( ~ u_10 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[192]) ).

thf(276,plain,
    ( ( u_11 = $true )
    | ( ( p_4
        | ~ q_5
        | ~ q_6 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[193]) ).

thf(277,plain,
    ( ( p_4 = $true )
    | ( ( ~ u_11 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[194]) ).

thf(278,plain,
    ( ( u_12 = $true )
    | ( ( p_5
        | ~ p_6
        | ~ p_7 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[195]) ).

thf(279,plain,
    ( ( p_5 = $true )
    | ( ( ~ u_12 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[196]) ).

thf(280,plain,
    ( ( u_13 = $true )
    | ( ( p_5
        | ~ q_6
        | ~ q_7 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[197]) ).

thf(281,plain,
    ( ( p_5 = $true )
    | ( ( ~ u_13 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[198]) ).

thf(282,plain,
    ( ( u_14 = $true )
    | ( ( p_6
        | ~ p_7
        | ~ p_8 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[199]) ).

thf(283,plain,
    ( ( p_6 = $true )
    | ( ( ~ u_14 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[200]) ).

thf(284,plain,
    ( ( u_15 = $true )
    | ( ( p_6
        | ~ q_7
        | ~ q_8 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[201]) ).

thf(285,plain,
    ( ( p_6 = $true )
    | ( ( ~ u_15 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[202]) ).

thf(286,plain,
    ( ( u_16 = $true )
    | ( ( p_7
        | ~ p_8
        | ~ p_9 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[203]) ).

thf(287,plain,
    ( ( p_7 = $true )
    | ( ( ~ u_16 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[204]) ).

thf(288,plain,
    ( ( u_17 = $true )
    | ( ( p_7
        | ~ q_8
        | ~ q_9 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[205]) ).

thf(289,plain,
    ( ( p_7 = $true )
    | ( ( ~ u_17 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[206]) ).

thf(290,plain,
    ( ( u_18 = $true )
    | ( ( q_0
        | ~ p_1
        | ~ q_2 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[207]) ).

thf(291,plain,
    ( ( q_0 = $true )
    | ( ( ~ u_18 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[208]) ).

thf(292,plain,
    ( ( u_19 = $true )
    | ( ( q_0
        | ~ q_1
        | ~ p_2 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[209]) ).

thf(293,plain,
    ( ( q_0 = $true )
    | ( ( ~ u_19 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[210]) ).

thf(294,plain,
    ( ( u_20 = $true )
    | ( ( q_1
        | ~ p_2
        | ~ q_3 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[211]) ).

thf(295,plain,
    ( ( q_1 = $true )
    | ( ( ~ u_20 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[212]) ).

thf(296,plain,
    ( ( u_21 = $true )
    | ( ( q_1
        | ~ q_2
        | ~ p_3 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[213]) ).

thf(297,plain,
    ( ( q_1 = $true )
    | ( ( ~ u_21 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[214]) ).

thf(298,plain,
    ( ( u_22 = $true )
    | ( ( q_2
        | ~ p_3
        | ~ q_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[215]) ).

thf(299,plain,
    ( ( q_2 = $true )
    | ( ( ~ u_22 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[216]) ).

thf(300,plain,
    ( ( u_23 = $true )
    | ( ( q_2
        | ~ q_3
        | ~ p_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[217]) ).

thf(301,plain,
    ( ( q_2 = $true )
    | ( ( ~ u_23 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[218]) ).

thf(302,plain,
    ( ( u_24 = $true )
    | ( ( q_3
        | ~ p_4
        | ~ q_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[219]) ).

thf(303,plain,
    ( ( q_3 = $true )
    | ( ( ~ u_24 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[220]) ).

thf(304,plain,
    ( ( u_25 = $true )
    | ( ( q_3
        | ~ q_4
        | ~ p_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[221]) ).

thf(305,plain,
    ( ( q_3 = $true )
    | ( ( ~ u_25 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[222]) ).

thf(306,plain,
    ( ( u_26 = $true )
    | ( ( q_4
        | ~ p_5
        | ~ q_6 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[223]) ).

thf(307,plain,
    ( ( q_4 = $true )
    | ( ( ~ u_26 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[224]) ).

thf(308,plain,
    ( ( u_27 = $true )
    | ( ( q_4
        | ~ q_5
        | ~ p_6 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[225]) ).

thf(309,plain,
    ( ( q_4 = $true )
    | ( ( ~ u_27 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[226]) ).

thf(310,plain,
    ( ( u_28 = $true )
    | ( ( q_5
        | ~ p_6
        | ~ q_7 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[227]) ).

thf(311,plain,
    ( ( q_5 = $true )
    | ( ( ~ u_28 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[228]) ).

thf(312,plain,
    ( ( u_29 = $true )
    | ( ( q_5
        | ~ q_6
        | ~ p_7 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[229]) ).

thf(313,plain,
    ( ( q_5 = $true )
    | ( ( ~ u_29 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[230]) ).

thf(314,plain,
    ( ( u_30 = $true )
    | ( ( q_6
        | ~ p_7
        | ~ q_8 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[231]) ).

thf(315,plain,
    ( ( q_6 = $true )
    | ( ( ~ u_30 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[232]) ).

thf(316,plain,
    ( ( u_31 = $true )
    | ( ( q_6
        | ~ q_7
        | ~ p_8 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[233]) ).

thf(317,plain,
    ( ( q_6 = $true )
    | ( ( ~ u_31 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[234]) ).

thf(318,plain,
    ( ( u_32 = $true )
    | ( ( q_7
        | ~ p_8
        | ~ q_9 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[235]) ).

thf(319,plain,
    ( ( q_7 = $true )
    | ( ( ~ u_32 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[236]) ).

thf(320,plain,
    ( ( u_33 = $true )
    | ( ( q_7
        | ~ q_8
        | ~ p_9 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[237]) ).

thf(321,plain,
    ( ( q_7 = $true )
    | ( ( ~ u_33 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[238]) ).

thf(322,plain,
    ( ( u_34 = $true )
    | ( ( p_9
        | ~ p_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[239]) ).

thf(323,plain,
    ( ( p_9 = $true )
    | ( ( ~ u_34 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[240]) ).

thf(324,plain,
    ( ( u_35 = $true )
    | ( ( p_10
        | ~ p_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[241]) ).

thf(325,plain,
    ( ( p_10 = $true )
    | ( ( ~ u_35 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[242]) ).

thf(326,plain,
    ( ( u_36 = $true )
    | ( ( q_9
        | ~ q_4 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[243]) ).

thf(327,plain,
    ( ( q_9 = $true )
    | ( ( ~ u_36 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[244]) ).

thf(328,plain,
    ( ( u_37 = $true )
    | ( ( q_10
        | ~ q_5 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[245]) ).

thf(329,plain,
    ( ( q_10 = $true )
    | ( ( ~ u_37 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[246]) ).

thf(330,plain,
    ( ( p_8 = $true )
    | ( u_38 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[247]) ).

thf(331,plain,
    ( ( p_8 = $true )
    | ( ( ~ u_38 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[248]) ).

thf(332,plain,
    ( ( p_9 = $true )
    | ( u_39 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[249]) ).

thf(333,plain,
    ( ( p_9 = $true )
    | ( ( ~ u_39 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[250]) ).

thf(334,plain,
    ( ( q_8 = $true )
    | ( u_40 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[251]) ).

thf(335,plain,
    ( ( q_8 = $true )
    | ( ( ~ u_40 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[252]) ).

thf(336,plain,
    ( ( q_9 = $true )
    | ( u_41 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[253]) ).

thf(337,plain,
    ( ( q_9 = $true )
    | ( ( ~ u_41 )
      = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[254]) ).

thf(338,plain,
    $false = $false,
    inference(extcnf_not_pos,[status(thm)],[255]) ).

thf(339,plain,
    ( ( ( ~ p_0 )
      = $true )
    | ( ( ~ q_0 )
      = $true )
    | ( u_1 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[256]) ).

thf(340,plain,
    ( ( p_0 = $true )
    | ( ( ~ p_1
        | ~ p_2 )
      = $true )
    | ( u_2 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[258]) ).

thf(341,plain,
    ( ( u_2 = $false )
    | ( p_0 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[259]) ).

thf(342,plain,
    ( ( p_0 = $true )
    | ( ( ~ q_1
        | ~ q_2 )
      = $true )
    | ( u_3 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[260]) ).

thf(343,plain,
    ( ( u_3 = $false )
    | ( p_0 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[261]) ).

thf(344,plain,
    ( ( p_1 = $true )
    | ( ( ~ p_2
        | ~ p_3 )
      = $true )
    | ( u_4 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[262]) ).

thf(345,plain,
    ( ( u_4 = $false )
    | ( p_1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[263]) ).

thf(346,plain,
    ( ( p_1 = $true )
    | ( ( ~ q_2
        | ~ q_3 )
      = $true )
    | ( u_5 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[264]) ).

thf(347,plain,
    ( ( u_5 = $false )
    | ( p_1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[265]) ).

thf(348,plain,
    ( ( p_2 = $true )
    | ( ( ~ p_3
        | ~ p_4 )
      = $true )
    | ( u_6 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[266]) ).

thf(349,plain,
    ( ( u_6 = $false )
    | ( p_2 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[267]) ).

thf(350,plain,
    ( ( p_2 = $true )
    | ( ( ~ q_3
        | ~ q_4 )
      = $true )
    | ( u_7 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[268]) ).

thf(351,plain,
    ( ( u_7 = $false )
    | ( p_2 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[269]) ).

thf(352,plain,
    ( ( p_3 = $true )
    | ( ( ~ p_4
        | ~ p_5 )
      = $true )
    | ( u_8 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[270]) ).

thf(353,plain,
    ( ( u_8 = $false )
    | ( p_3 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[271]) ).

thf(354,plain,
    ( ( p_3 = $true )
    | ( ( ~ q_4
        | ~ q_5 )
      = $true )
    | ( u_9 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[272]) ).

thf(355,plain,
    ( ( u_9 = $false )
    | ( p_3 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[273]) ).

thf(356,plain,
    ( ( p_4 = $true )
    | ( ( ~ p_5
        | ~ p_6 )
      = $true )
    | ( u_10 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[274]) ).

thf(357,plain,
    ( ( u_10 = $false )
    | ( p_4 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[275]) ).

thf(358,plain,
    ( ( p_4 = $true )
    | ( ( ~ q_5
        | ~ q_6 )
      = $true )
    | ( u_11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[276]) ).

thf(359,plain,
    ( ( u_11 = $false )
    | ( p_4 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[277]) ).

thf(360,plain,
    ( ( p_5 = $true )
    | ( ( ~ p_6
        | ~ p_7 )
      = $true )
    | ( u_12 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[278]) ).

thf(361,plain,
    ( ( u_12 = $false )
    | ( p_5 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[279]) ).

thf(362,plain,
    ( ( p_5 = $true )
    | ( ( ~ q_6
        | ~ q_7 )
      = $true )
    | ( u_13 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[280]) ).

thf(363,plain,
    ( ( u_13 = $false )
    | ( p_5 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[281]) ).

thf(364,plain,
    ( ( p_6 = $true )
    | ( ( ~ p_7
        | ~ p_8 )
      = $true )
    | ( u_14 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[282]) ).

thf(365,plain,
    ( ( u_14 = $false )
    | ( p_6 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[283]) ).

thf(366,plain,
    ( ( p_6 = $true )
    | ( ( ~ q_7
        | ~ q_8 )
      = $true )
    | ( u_15 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[284]) ).

thf(367,plain,
    ( ( u_15 = $false )
    | ( p_6 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[285]) ).

thf(368,plain,
    ( ( p_7 = $true )
    | ( ( ~ p_8
        | ~ p_9 )
      = $true )
    | ( u_16 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[286]) ).

thf(369,plain,
    ( ( u_16 = $false )
    | ( p_7 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[287]) ).

thf(370,plain,
    ( ( p_7 = $true )
    | ( ( ~ q_8
        | ~ q_9 )
      = $true )
    | ( u_17 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[288]) ).

thf(371,plain,
    ( ( u_17 = $false )
    | ( p_7 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[289]) ).

thf(372,plain,
    ( ( q_0 = $true )
    | ( ( ~ p_1
        | ~ q_2 )
      = $true )
    | ( u_18 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[290]) ).

thf(373,plain,
    ( ( u_18 = $false )
    | ( q_0 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[291]) ).

thf(374,plain,
    ( ( q_0 = $true )
    | ( ( ~ q_1
        | ~ p_2 )
      = $true )
    | ( u_19 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[292]) ).

thf(375,plain,
    ( ( u_19 = $false )
    | ( q_0 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[293]) ).

thf(376,plain,
    ( ( q_1 = $true )
    | ( ( ~ p_2
        | ~ q_3 )
      = $true )
    | ( u_20 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[294]) ).

thf(377,plain,
    ( ( u_20 = $false )
    | ( q_1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[295]) ).

thf(378,plain,
    ( ( q_1 = $true )
    | ( ( ~ q_2
        | ~ p_3 )
      = $true )
    | ( u_21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[296]) ).

thf(379,plain,
    ( ( u_21 = $false )
    | ( q_1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[297]) ).

thf(380,plain,
    ( ( q_2 = $true )
    | ( ( ~ p_3
        | ~ q_4 )
      = $true )
    | ( u_22 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[298]) ).

thf(381,plain,
    ( ( u_22 = $false )
    | ( q_2 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[299]) ).

thf(382,plain,
    ( ( q_2 = $true )
    | ( ( ~ q_3
        | ~ p_4 )
      = $true )
    | ( u_23 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[300]) ).

thf(383,plain,
    ( ( u_23 = $false )
    | ( q_2 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[301]) ).

thf(384,plain,
    ( ( q_3 = $true )
    | ( ( ~ p_4
        | ~ q_5 )
      = $true )
    | ( u_24 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[302]) ).

thf(385,plain,
    ( ( u_24 = $false )
    | ( q_3 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[303]) ).

thf(386,plain,
    ( ( q_3 = $true )
    | ( ( ~ q_4
        | ~ p_5 )
      = $true )
    | ( u_25 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[304]) ).

thf(387,plain,
    ( ( u_25 = $false )
    | ( q_3 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[305]) ).

thf(388,plain,
    ( ( q_4 = $true )
    | ( ( ~ p_5
        | ~ q_6 )
      = $true )
    | ( u_26 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[306]) ).

thf(389,plain,
    ( ( u_26 = $false )
    | ( q_4 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[307]) ).

thf(390,plain,
    ( ( q_4 = $true )
    | ( ( ~ q_5
        | ~ p_6 )
      = $true )
    | ( u_27 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[308]) ).

thf(391,plain,
    ( ( u_27 = $false )
    | ( q_4 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[309]) ).

thf(392,plain,
    ( ( q_5 = $true )
    | ( ( ~ p_6
        | ~ q_7 )
      = $true )
    | ( u_28 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[310]) ).

thf(393,plain,
    ( ( u_28 = $false )
    | ( q_5 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[311]) ).

thf(394,plain,
    ( ( q_5 = $true )
    | ( ( ~ q_6
        | ~ p_7 )
      = $true )
    | ( u_29 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[312]) ).

thf(395,plain,
    ( ( u_29 = $false )
    | ( q_5 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[313]) ).

thf(396,plain,
    ( ( q_6 = $true )
    | ( ( ~ p_7
        | ~ q_8 )
      = $true )
    | ( u_30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[314]) ).

thf(397,plain,
    ( ( u_30 = $false )
    | ( q_6 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[315]) ).

thf(398,plain,
    ( ( q_6 = $true )
    | ( ( ~ q_7
        | ~ p_8 )
      = $true )
    | ( u_31 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[316]) ).

thf(399,plain,
    ( ( u_31 = $false )
    | ( q_6 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[317]) ).

thf(400,plain,
    ( ( q_7 = $true )
    | ( ( ~ p_8
        | ~ q_9 )
      = $true )
    | ( u_32 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[318]) ).

thf(401,plain,
    ( ( u_32 = $false )
    | ( q_7 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[319]) ).

thf(402,plain,
    ( ( q_7 = $true )
    | ( ( ~ q_8
        | ~ p_9 )
      = $true )
    | ( u_33 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[320]) ).

thf(403,plain,
    ( ( u_33 = $false )
    | ( q_7 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[321]) ).

thf(404,plain,
    ( ( p_9 = $true )
    | ( ( ~ p_4 )
      = $true )
    | ( u_34 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[322]) ).

thf(405,plain,
    ( ( u_34 = $false )
    | ( p_9 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[323]) ).

thf(406,plain,
    ( ( p_10 = $true )
    | ( ( ~ p_5 )
      = $true )
    | ( u_35 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[324]) ).

thf(407,plain,
    ( ( u_35 = $false )
    | ( p_10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[325]) ).

thf(408,plain,
    ( ( q_9 = $true )
    | ( ( ~ q_4 )
      = $true )
    | ( u_36 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[326]) ).

thf(409,plain,
    ( ( u_36 = $false )
    | ( q_9 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[327]) ).

thf(410,plain,
    ( ( q_10 = $true )
    | ( ( ~ q_5 )
      = $true )
    | ( u_37 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[328]) ).

thf(411,plain,
    ( ( u_37 = $false )
    | ( q_10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[329]) ).

thf(412,plain,
    ( ( u_38 = $false )
    | ( p_8 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[331]) ).

thf(413,plain,
    ( ( u_39 = $false )
    | ( p_9 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[333]) ).

thf(414,plain,
    ( ( u_40 = $false )
    | ( q_8 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[335]) ).

thf(415,plain,
    ( ( u_41 = $false )
    | ( q_9 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[337]) ).

thf(416,plain,
    ( ( p_0 = $false )
    | ( ( ~ q_0 )
      = $true )
    | ( u_1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[339]) ).

thf(417,plain,
    ( ( ( ~ p_1 )
      = $true )
    | ( ( ~ p_2 )
      = $true )
    | ( p_0 = $true )
    | ( u_2 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[340]) ).

thf(418,plain,
    ( ( ( ~ q_1 )
      = $true )
    | ( ( ~ q_2 )
      = $true )
    | ( p_0 = $true )
    | ( u_3 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[342]) ).

thf(419,plain,
    ( ( ( ~ p_2 )
      = $true )
    | ( ( ~ p_3 )
      = $true )
    | ( p_1 = $true )
    | ( u_4 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[344]) ).

thf(420,plain,
    ( ( ( ~ q_2 )
      = $true )
    | ( ( ~ q_3 )
      = $true )
    | ( p_1 = $true )
    | ( u_5 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[346]) ).

thf(421,plain,
    ( ( ( ~ p_3 )
      = $true )
    | ( ( ~ p_4 )
      = $true )
    | ( p_2 = $true )
    | ( u_6 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[348]) ).

thf(422,plain,
    ( ( ( ~ q_3 )
      = $true )
    | ( ( ~ q_4 )
      = $true )
    | ( p_2 = $true )
    | ( u_7 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[350]) ).

thf(423,plain,
    ( ( ( ~ p_4 )
      = $true )
    | ( ( ~ p_5 )
      = $true )
    | ( p_3 = $true )
    | ( u_8 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[352]) ).

thf(424,plain,
    ( ( ( ~ q_4 )
      = $true )
    | ( ( ~ q_5 )
      = $true )
    | ( p_3 = $true )
    | ( u_9 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[354]) ).

thf(425,plain,
    ( ( ( ~ p_5 )
      = $true )
    | ( ( ~ p_6 )
      = $true )
    | ( p_4 = $true )
    | ( u_10 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[356]) ).

thf(426,plain,
    ( ( ( ~ q_5 )
      = $true )
    | ( ( ~ q_6 )
      = $true )
    | ( p_4 = $true )
    | ( u_11 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[358]) ).

thf(427,plain,
    ( ( ( ~ p_6 )
      = $true )
    | ( ( ~ p_7 )
      = $true )
    | ( p_5 = $true )
    | ( u_12 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[360]) ).

thf(428,plain,
    ( ( ( ~ q_6 )
      = $true )
    | ( ( ~ q_7 )
      = $true )
    | ( p_5 = $true )
    | ( u_13 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[362]) ).

thf(429,plain,
    ( ( ( ~ p_7 )
      = $true )
    | ( ( ~ p_8 )
      = $true )
    | ( p_6 = $true )
    | ( u_14 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[364]) ).

thf(430,plain,
    ( ( ( ~ q_7 )
      = $true )
    | ( ( ~ q_8 )
      = $true )
    | ( p_6 = $true )
    | ( u_15 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[366]) ).

thf(431,plain,
    ( ( ( ~ p_8 )
      = $true )
    | ( ( ~ p_9 )
      = $true )
    | ( p_7 = $true )
    | ( u_16 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[368]) ).

thf(432,plain,
    ( ( ( ~ q_8 )
      = $true )
    | ( ( ~ q_9 )
      = $true )
    | ( p_7 = $true )
    | ( u_17 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[370]) ).

thf(433,plain,
    ( ( ( ~ p_1 )
      = $true )
    | ( ( ~ q_2 )
      = $true )
    | ( q_0 = $true )
    | ( u_18 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[372]) ).

thf(434,plain,
    ( ( ( ~ q_1 )
      = $true )
    | ( ( ~ p_2 )
      = $true )
    | ( q_0 = $true )
    | ( u_19 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[374]) ).

thf(435,plain,
    ( ( ( ~ p_2 )
      = $true )
    | ( ( ~ q_3 )
      = $true )
    | ( q_1 = $true )
    | ( u_20 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[376]) ).

thf(436,plain,
    ( ( ( ~ q_2 )
      = $true )
    | ( ( ~ p_3 )
      = $true )
    | ( q_1 = $true )
    | ( u_21 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[378]) ).

thf(437,plain,
    ( ( ( ~ p_3 )
      = $true )
    | ( ( ~ q_4 )
      = $true )
    | ( q_2 = $true )
    | ( u_22 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[380]) ).

thf(438,plain,
    ( ( ( ~ q_3 )
      = $true )
    | ( ( ~ p_4 )
      = $true )
    | ( q_2 = $true )
    | ( u_23 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[382]) ).

thf(439,plain,
    ( ( ( ~ p_4 )
      = $true )
    | ( ( ~ q_5 )
      = $true )
    | ( q_3 = $true )
    | ( u_24 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[384]) ).

thf(440,plain,
    ( ( ( ~ q_4 )
      = $true )
    | ( ( ~ p_5 )
      = $true )
    | ( q_3 = $true )
    | ( u_25 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[386]) ).

thf(441,plain,
    ( ( ( ~ p_5 )
      = $true )
    | ( ( ~ q_6 )
      = $true )
    | ( q_4 = $true )
    | ( u_26 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[388]) ).

thf(442,plain,
    ( ( ( ~ q_5 )
      = $true )
    | ( ( ~ p_6 )
      = $true )
    | ( q_4 = $true )
    | ( u_27 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[390]) ).

thf(443,plain,
    ( ( ( ~ p_6 )
      = $true )
    | ( ( ~ q_7 )
      = $true )
    | ( q_5 = $true )
    | ( u_28 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[392]) ).

thf(444,plain,
    ( ( ( ~ q_6 )
      = $true )
    | ( ( ~ p_7 )
      = $true )
    | ( q_5 = $true )
    | ( u_29 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[394]) ).

thf(445,plain,
    ( ( ( ~ p_7 )
      = $true )
    | ( ( ~ q_8 )
      = $true )
    | ( q_6 = $true )
    | ( u_30 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[396]) ).

thf(446,plain,
    ( ( ( ~ q_7 )
      = $true )
    | ( ( ~ p_8 )
      = $true )
    | ( q_6 = $true )
    | ( u_31 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[398]) ).

thf(447,plain,
    ( ( ( ~ p_8 )
      = $true )
    | ( ( ~ q_9 )
      = $true )
    | ( q_7 = $true )
    | ( u_32 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[400]) ).

thf(448,plain,
    ( ( ( ~ q_8 )
      = $true )
    | ( ( ~ p_9 )
      = $true )
    | ( q_7 = $true )
    | ( u_33 = $true ) ),
    inference(extcnf_or_pos,[status(thm)],[402]) ).

thf(449,plain,
    ( ( p_4 = $false )
    | ( p_9 = $true )
    | ( u_34 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[404]) ).

thf(450,plain,
    ( ( p_5 = $false )
    | ( p_10 = $true )
    | ( u_35 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[406]) ).

thf(451,plain,
    ( ( q_4 = $false )
    | ( q_9 = $true )
    | ( u_36 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[408]) ).

thf(452,plain,
    ( ( q_5 = $false )
    | ( q_10 = $true )
    | ( u_37 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[410]) ).

thf(453,plain,
    ( ( q_0 = $false )
    | ( p_0 = $false )
    | ( u_1 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[416]) ).

thf(454,plain,
    ( ( p_1 = $false )
    | ( ( ~ p_2 )
      = $true )
    | ( p_0 = $true )
    | ( u_2 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[417]) ).

thf(455,plain,
    ( ( q_1 = $false )
    | ( ( ~ q_2 )
      = $true )
    | ( p_0 = $true )
    | ( u_3 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[418]) ).

thf(456,plain,
    ( ( p_2 = $false )
    | ( ( ~ p_3 )
      = $true )
    | ( p_1 = $true )
    | ( u_4 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[419]) ).

thf(457,plain,
    ( ( q_2 = $false )
    | ( ( ~ q_3 )
      = $true )
    | ( p_1 = $true )
    | ( u_5 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[420]) ).

thf(458,plain,
    ( ( p_3 = $false )
    | ( ( ~ p_4 )
      = $true )
    | ( p_2 = $true )
    | ( u_6 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[421]) ).

thf(459,plain,
    ( ( q_3 = $false )
    | ( ( ~ q_4 )
      = $true )
    | ( p_2 = $true )
    | ( u_7 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[422]) ).

thf(460,plain,
    ( ( p_4 = $false )
    | ( ( ~ p_5 )
      = $true )
    | ( p_3 = $true )
    | ( u_8 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[423]) ).

thf(461,plain,
    ( ( q_4 = $false )
    | ( ( ~ q_5 )
      = $true )
    | ( p_3 = $true )
    | ( u_9 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[424]) ).

thf(462,plain,
    ( ( p_5 = $false )
    | ( ( ~ p_6 )
      = $true )
    | ( p_4 = $true )
    | ( u_10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[425]) ).

thf(463,plain,
    ( ( q_5 = $false )
    | ( ( ~ q_6 )
      = $true )
    | ( p_4 = $true )
    | ( u_11 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[426]) ).

thf(464,plain,
    ( ( p_6 = $false )
    | ( ( ~ p_7 )
      = $true )
    | ( p_5 = $true )
    | ( u_12 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[427]) ).

thf(465,plain,
    ( ( q_6 = $false )
    | ( ( ~ q_7 )
      = $true )
    | ( p_5 = $true )
    | ( u_13 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[428]) ).

thf(466,plain,
    ( ( p_7 = $false )
    | ( ( ~ p_8 )
      = $true )
    | ( p_6 = $true )
    | ( u_14 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[429]) ).

thf(467,plain,
    ( ( q_7 = $false )
    | ( ( ~ q_8 )
      = $true )
    | ( p_6 = $true )
    | ( u_15 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[430]) ).

thf(468,plain,
    ( ( p_8 = $false )
    | ( ( ~ p_9 )
      = $true )
    | ( p_7 = $true )
    | ( u_16 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[431]) ).

thf(469,plain,
    ( ( q_8 = $false )
    | ( ( ~ q_9 )
      = $true )
    | ( p_7 = $true )
    | ( u_17 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[432]) ).

thf(470,plain,
    ( ( p_1 = $false )
    | ( ( ~ q_2 )
      = $true )
    | ( q_0 = $true )
    | ( u_18 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[433]) ).

thf(471,plain,
    ( ( q_1 = $false )
    | ( ( ~ p_2 )
      = $true )
    | ( q_0 = $true )
    | ( u_19 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[434]) ).

thf(472,plain,
    ( ( p_2 = $false )
    | ( ( ~ q_3 )
      = $true )
    | ( q_1 = $true )
    | ( u_20 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[435]) ).

thf(473,plain,
    ( ( q_2 = $false )
    | ( ( ~ p_3 )
      = $true )
    | ( q_1 = $true )
    | ( u_21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[436]) ).

thf(474,plain,
    ( ( p_3 = $false )
    | ( ( ~ q_4 )
      = $true )
    | ( q_2 = $true )
    | ( u_22 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[437]) ).

thf(475,plain,
    ( ( q_3 = $false )
    | ( ( ~ p_4 )
      = $true )
    | ( q_2 = $true )
    | ( u_23 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[438]) ).

thf(476,plain,
    ( ( p_4 = $false )
    | ( ( ~ q_5 )
      = $true )
    | ( q_3 = $true )
    | ( u_24 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[439]) ).

thf(477,plain,
    ( ( q_4 = $false )
    | ( ( ~ p_5 )
      = $true )
    | ( q_3 = $true )
    | ( u_25 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[440]) ).

thf(478,plain,
    ( ( p_5 = $false )
    | ( ( ~ q_6 )
      = $true )
    | ( q_4 = $true )
    | ( u_26 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[441]) ).

thf(479,plain,
    ( ( q_5 = $false )
    | ( ( ~ p_6 )
      = $true )
    | ( q_4 = $true )
    | ( u_27 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[442]) ).

thf(480,plain,
    ( ( p_6 = $false )
    | ( ( ~ q_7 )
      = $true )
    | ( q_5 = $true )
    | ( u_28 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[443]) ).

thf(481,plain,
    ( ( q_6 = $false )
    | ( ( ~ p_7 )
      = $true )
    | ( q_5 = $true )
    | ( u_29 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[444]) ).

thf(482,plain,
    ( ( p_7 = $false )
    | ( ( ~ q_8 )
      = $true )
    | ( q_6 = $true )
    | ( u_30 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[445]) ).

thf(483,plain,
    ( ( q_7 = $false )
    | ( ( ~ p_8 )
      = $true )
    | ( q_6 = $true )
    | ( u_31 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[446]) ).

thf(484,plain,
    ( ( p_8 = $false )
    | ( ( ~ q_9 )
      = $true )
    | ( q_7 = $true )
    | ( u_32 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[447]) ).

thf(485,plain,
    ( ( q_8 = $false )
    | ( ( ~ p_9 )
      = $true )
    | ( q_7 = $true )
    | ( u_33 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[448]) ).

thf(486,plain,
    ( ( p_2 = $false )
    | ( p_1 = $false )
    | ( p_0 = $true )
    | ( u_2 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[454]) ).

thf(487,plain,
    ( ( q_2 = $false )
    | ( q_1 = $false )
    | ( p_0 = $true )
    | ( u_3 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[455]) ).

thf(488,plain,
    ( ( p_3 = $false )
    | ( p_2 = $false )
    | ( p_1 = $true )
    | ( u_4 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[456]) ).

thf(489,plain,
    ( ( q_3 = $false )
    | ( q_2 = $false )
    | ( p_1 = $true )
    | ( u_5 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[457]) ).

thf(490,plain,
    ( ( p_4 = $false )
    | ( p_3 = $false )
    | ( p_2 = $true )
    | ( u_6 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[458]) ).

thf(491,plain,
    ( ( q_4 = $false )
    | ( q_3 = $false )
    | ( p_2 = $true )
    | ( u_7 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[459]) ).

thf(492,plain,
    ( ( p_5 = $false )
    | ( p_4 = $false )
    | ( p_3 = $true )
    | ( u_8 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[460]) ).

thf(493,plain,
    ( ( q_5 = $false )
    | ( q_4 = $false )
    | ( p_3 = $true )
    | ( u_9 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[461]) ).

thf(494,plain,
    ( ( p_6 = $false )
    | ( p_5 = $false )
    | ( p_4 = $true )
    | ( u_10 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[462]) ).

thf(495,plain,
    ( ( q_6 = $false )
    | ( q_5 = $false )
    | ( p_4 = $true )
    | ( u_11 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[463]) ).

thf(496,plain,
    ( ( p_7 = $false )
    | ( p_6 = $false )
    | ( p_5 = $true )
    | ( u_12 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[464]) ).

thf(497,plain,
    ( ( q_7 = $false )
    | ( q_6 = $false )
    | ( p_5 = $true )
    | ( u_13 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[465]) ).

thf(498,plain,
    ( ( p_8 = $false )
    | ( p_7 = $false )
    | ( p_6 = $true )
    | ( u_14 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[466]) ).

thf(499,plain,
    ( ( q_8 = $false )
    | ( q_7 = $false )
    | ( p_6 = $true )
    | ( u_15 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[467]) ).

thf(500,plain,
    ( ( p_9 = $false )
    | ( p_8 = $false )
    | ( p_7 = $true )
    | ( u_16 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[468]) ).

thf(501,plain,
    ( ( q_9 = $false )
    | ( q_8 = $false )
    | ( p_7 = $true )
    | ( u_17 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[469]) ).

thf(502,plain,
    ( ( q_2 = $false )
    | ( p_1 = $false )
    | ( q_0 = $true )
    | ( u_18 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[470]) ).

thf(503,plain,
    ( ( p_2 = $false )
    | ( q_1 = $false )
    | ( q_0 = $true )
    | ( u_19 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[471]) ).

thf(504,plain,
    ( ( q_3 = $false )
    | ( p_2 = $false )
    | ( q_1 = $true )
    | ( u_20 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[472]) ).

thf(505,plain,
    ( ( p_3 = $false )
    | ( q_2 = $false )
    | ( q_1 = $true )
    | ( u_21 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[473]) ).

thf(506,plain,
    ( ( q_4 = $false )
    | ( p_3 = $false )
    | ( q_2 = $true )
    | ( u_22 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[474]) ).

thf(507,plain,
    ( ( p_4 = $false )
    | ( q_3 = $false )
    | ( q_2 = $true )
    | ( u_23 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[475]) ).

thf(508,plain,
    ( ( q_5 = $false )
    | ( p_4 = $false )
    | ( q_3 = $true )
    | ( u_24 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[476]) ).

thf(509,plain,
    ( ( p_5 = $false )
    | ( q_4 = $false )
    | ( q_3 = $true )
    | ( u_25 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[477]) ).

thf(510,plain,
    ( ( q_6 = $false )
    | ( p_5 = $false )
    | ( q_4 = $true )
    | ( u_26 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[478]) ).

thf(511,plain,
    ( ( p_6 = $false )
    | ( q_5 = $false )
    | ( q_4 = $true )
    | ( u_27 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[479]) ).

thf(512,plain,
    ( ( q_7 = $false )
    | ( p_6 = $false )
    | ( q_5 = $true )
    | ( u_28 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[480]) ).

thf(513,plain,
    ( ( p_7 = $false )
    | ( q_6 = $false )
    | ( q_5 = $true )
    | ( u_29 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[481]) ).

thf(514,plain,
    ( ( q_8 = $false )
    | ( p_7 = $false )
    | ( q_6 = $true )
    | ( u_30 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[482]) ).

thf(515,plain,
    ( ( p_8 = $false )
    | ( q_7 = $false )
    | ( q_6 = $true )
    | ( u_31 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[483]) ).

thf(516,plain,
    ( ( q_9 = $false )
    | ( p_8 = $false )
    | ( q_7 = $true )
    | ( u_32 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[484]) ).

thf(517,plain,
    ( ( p_9 = $false )
    | ( q_8 = $false )
    | ( q_7 = $true )
    | ( u_33 = $true ) ),
    inference(extcnf_not_pos,[status(thm)],[485]) ).

thf(518,plain,
    $false = $true,
    inference(fo_atp_e,[status(thm)],[257,517,516,515,514,513,512,511,510,509,508,507,506,505,504,503,502,501,500,499,498,497,496,495,494,493,492,491,490,489,488,487,486,453,452,451,450,449,415,414,413,412,411,409,407,405,403,401,399,397,395,393,391,389,387,385,383,381,379,377,375,373,371,369,367,365,363,361,359,357,355,353,351,349,347,345,343,341,338,336,334,332,330]) ).

thf(519,plain,
    $false,
    inference(solved_all_splits,[solved_all_splits(join,[])],[518]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : SYN094-1.005 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.04/0.13  % Command  : leo --timeout %d --proofoutput 1 --foatp e --atp e=./eprover %s
% 0.13/0.34  % Computer : n011.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 : Mon Jul 11 12:28:12 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.36  
% 0.20/0.36   No.of.Axioms: 82
% 0.20/0.36  
% 0.20/0.36   Length.of.Defs: 0
% 0.20/0.36  
% 0.20/0.36   Contains.Choice.Funs: false
% 0.20/0.38  (rf:0,axioms:82,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:84,loop_count:0,foatp_calls:0,translation:fof_full).......
% 0.20/0.46  
% 0.20/0.46  ********************************
% 0.20/0.46  *   All subproblems solved!    *
% 0.20/0.46  ********************************
% 0.20/0.46  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:82,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:518,loop_count:0,foatp_calls:1,translation:fof_full)
% 0.20/0.53  
% 0.20/0.53  %**** Beginning of derivation protocol ****
% 0.20/0.53  % SZS output start CNFRefutation
% See solution above
% 0.20/0.53  
% 0.20/0.53  %**** End of derivation protocol ****
% 0.20/0.53  %**** no. of clauses in derivation: 519 ****
% 0.20/0.53  %**** clause counter: 518 ****
% 0.20/0.53  
% 0.20/0.53  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p : (rf:0,axioms:82,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:518,loop_count:0,foatp_calls:1,translation:fof_full)
%------------------------------------------------------------------------------