TSTP Solution File: LCL656+1.020 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n003.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  : 300s
% DateTime : Fri May 19 11:31:01 EDT 2023

% Result   : Theorem 22.69s 7.46s
% Output   : Refutation 22.69s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   46
% Syntax   : Number of formulae    :   50 (   3 unt;  44 typ;   0 def)
%            Number of atoms       : 1425 (   0 equ;   0 cnn)
%            Maximal formula atoms :  474 ( 237 avg)
%            Number of connectives : 4512 (1301   ~; 807   |; 612   &;1792   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  112 (  57 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   45 (  45   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   45 (  44 usr;   1 con; 0-2 aty)
%            Number of variables   :  371 (   0   ^; 368   !;   3   ?; 371   :)

% Comments : 
%------------------------------------------------------------------------------
thf(r1_type,type,
    r1: $i > $i > $o ).

thf(p8_type,type,
    p8: $i > $o ).

thf(p21_type,type,
    p21: $i > $o ).

thf(p121_type,type,
    p121: $i > $o ).

thf(p120_type,type,
    p120: $i > $o ).

thf(p119_type,type,
    p119: $i > $o ).

thf(p20_type,type,
    p20: $i > $o ).

thf(p118_type,type,
    p118: $i > $o ).

thf(p19_type,type,
    p19: $i > $o ).

thf(p117_type,type,
    p117: $i > $o ).

thf(p18_type,type,
    p18: $i > $o ).

thf(p116_type,type,
    p116: $i > $o ).

thf(p17_type,type,
    p17: $i > $o ).

thf(p115_type,type,
    p115: $i > $o ).

thf(p16_type,type,
    p16: $i > $o ).

thf(p114_type,type,
    p114: $i > $o ).

thf(p15_type,type,
    p15: $i > $o ).

thf(p113_type,type,
    p113: $i > $o ).

thf(p14_type,type,
    p14: $i > $o ).

thf(p112_type,type,
    p112: $i > $o ).

thf(p13_type,type,
    p13: $i > $o ).

thf(p111_type,type,
    p111: $i > $o ).

thf(p12_type,type,
    p12: $i > $o ).

thf(p110_type,type,
    p110: $i > $o ).

thf(p11_type,type,
    p11: $i > $o ).

thf(p109_type,type,
    p109: $i > $o ).

thf(p10_type,type,
    p10: $i > $o ).

thf(p108_type,type,
    p108: $i > $o ).

thf(p9_type,type,
    p9: $i > $o ).

thf(p107_type,type,
    p107: $i > $o ).

thf(p106_type,type,
    p106: $i > $o ).

thf(p7_type,type,
    p7: $i > $o ).

thf(p105_type,type,
    p105: $i > $o ).

thf(p6_type,type,
    p6: $i > $o ).

thf(p104_type,type,
    p104: $i > $o ).

thf(p5_type,type,
    p5: $i > $o ).

thf(p103_type,type,
    p103: $i > $o ).

thf(p4_type,type,
    p4: $i > $o ).

thf(p102_type,type,
    p102: $i > $o ).

thf(p3_type,type,
    p3: $i > $o ).

thf(p101_type,type,
    p101: $i > $o ).

thf(p2_type,type,
    p2: $i > $o ).

thf(p100_type,type,
    p100: $i > $o ).

thf(p1_type,type,
    p1: $i > $o ).

thf(1,conjecture,
    ~ ? [A: $i] :
        ~ ( ~ ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ! [D: $i] :
                        ( ~ ( r1 @ C @ D )
                        | ! [E: $i] :
                            ( ~ ( r1 @ D @ E )
                            | ! [F: $i] :
                                ( ~ ( r1 @ E @ F )
                                | ! [G: $i] :
                                    ( ~ ( r1 @ F @ G )
                                    | ! [H: $i] :
                                        ( ~ ( r1 @ G @ H )
                                        | ! [I: $i] :
                                            ( ~ ( r1 @ H @ I )
                                            | ! [J: $i] :
                                                ( ~ ( r1 @ I @ J )
                                                | ! [K: $i] :
                                                    ( ~ ( r1 @ J @ K )
                                                    | ! [L: $i] :
                                                        ( ~ ( r1 @ K @ L )
                                                        | ! [M: $i] :
                                                            ( ~ ( r1 @ L @ M )
                                                            | ! [N: $i] :
                                                                ( ~ ( r1 @ M @ N )
                                                                | ! [O: $i] :
                                                                    ( ~ ( r1 @ N @ O )
                                                                    | ! [P: $i] :
                                                                        ( ~ ( r1 @ O @ P )
                                                                        | ! [Q: $i] :
                                                                            ( ~ ( r1 @ P @ Q )
                                                                            | ! [R: $i] :
                                                                                ( ~ ( r1 @ Q @ R )
                                                                                | ! [S: $i] :
                                                                                    ( ~ ( r1 @ R @ S )
                                                                                    | ! [T: $i] :
                                                                                        ( ~ ( r1 @ S @ T )
                                                                                        | ! [U: $i] :
                                                                                            ( ~ ( r1 @ T @ U )
                                                                                            | ( p8 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
          | ~ ( ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ! [P: $i] :
                                                                          ( ~ ( r1 @ O @ P )
                                                                          | ! [Q: $i] :
                                                                              ( ~ ( r1 @ P @ Q )
                                                                              | ! [R: $i] :
                                                                                  ( ~ ( r1 @ Q @ R )
                                                                                  | ! [S: $i] :
                                                                                      ( ~ ( r1 @ R @ S )
                                                                                      | ! [T: $i] :
                                                                                          ( ~ ( r1 @ S @ T )
                                                                                          | ! [U: $i] :
                                                                                              ( ~ ( r1 @ T @ U )
                                                                                              | ( ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p21 @ V )
                                                                                                              & ~ ( p121 @ V )
                                                                                                              & ( p120 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p21 @ V )
                                                                                                              & ~ ( p121 @ V )
                                                                                                              & ( p120 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p120 @ U )
                                                                                                      & ( p119 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p20 @ V )
                                                                                                              & ~ ( p120 @ V )
                                                                                                              & ( p119 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p20 @ V )
                                                                                                              & ~ ( p120 @ V )
                                                                                                              & ( p119 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p119 @ U )
                                                                                                      & ( p118 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p19 @ V )
                                                                                                              & ~ ( p119 @ V )
                                                                                                              & ( p118 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p19 @ V )
                                                                                                              & ~ ( p119 @ V )
                                                                                                              & ( p118 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p118 @ U )
                                                                                                      & ( p117 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p18 @ V )
                                                                                                              & ~ ( p118 @ V )
                                                                                                              & ( p117 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p18 @ V )
                                                                                                              & ~ ( p118 @ V )
                                                                                                              & ( p117 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p117 @ U )
                                                                                                      & ( p116 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p17 @ V )
                                                                                                              & ~ ( p117 @ V )
                                                                                                              & ( p116 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p17 @ V )
                                                                                                              & ~ ( p117 @ V )
                                                                                                              & ( p116 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p116 @ U )
                                                                                                      & ( p115 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p16 @ V )
                                                                                                              & ~ ( p116 @ V )
                                                                                                              & ( p115 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p16 @ V )
                                                                                                              & ~ ( p116 @ V )
                                                                                                              & ( p115 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p115 @ U )
                                                                                                      & ( p114 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p15 @ V )
                                                                                                              & ~ ( p115 @ V )
                                                                                                              & ( p114 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p15 @ V )
                                                                                                              & ~ ( p115 @ V )
                                                                                                              & ( p114 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p114 @ U )
                                                                                                      & ( p113 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p14 @ V )
                                                                                                              & ~ ( p114 @ V )
                                                                                                              & ( p113 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p14 @ V )
                                                                                                              & ~ ( p114 @ V )
                                                                                                              & ( p113 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p113 @ U )
                                                                                                      & ( p112 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p13 @ V )
                                                                                                              & ~ ( p113 @ V )
                                                                                                              & ( p112 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p13 @ V )
                                                                                                              & ~ ( p113 @ V )
                                                                                                              & ( p112 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p112 @ U )
                                                                                                      & ( p111 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p12 @ V )
                                                                                                              & ~ ( p112 @ V )
                                                                                                              & ( p111 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p12 @ V )
                                                                                                              & ~ ( p112 @ V )
                                                                                                              & ( p111 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p111 @ U )
                                                                                                      & ( p110 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p11 @ V )
                                                                                                              & ~ ( p111 @ V )
                                                                                                              & ( p110 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p11 @ V )
                                                                                                              & ~ ( p111 @ V )
                                                                                                              & ( p110 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p110 @ U )
                                                                                                      & ( p109 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p10 @ V )
                                                                                                              & ~ ( p110 @ V )
                                                                                                              & ( p109 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p10 @ V )
                                                                                                              & ~ ( p110 @ V )
                                                                                                              & ( p109 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p109 @ U )
                                                                                                      & ( p108 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p9 @ V )
                                                                                                              & ~ ( p109 @ V )
                                                                                                              & ( p108 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p9 @ V )
                                                                                                              & ~ ( p109 @ V )
                                                                                                              & ( p108 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p108 @ U )
                                                                                                      & ( p107 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p8 @ V )
                                                                                                              & ~ ( p108 @ V )
                                                                                                              & ( p107 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p8 @ V )
                                                                                                              & ~ ( p108 @ V )
                                                                                                              & ( p107 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p107 @ U )
                                                                                                      & ( p106 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p7 @ V )
                                                                                                              & ~ ( p107 @ V )
                                                                                                              & ( p106 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p7 @ V )
                                                                                                              & ~ ( p107 @ V )
                                                                                                              & ( p106 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p106 @ U )
                                                                                                      & ( p105 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p6 @ V )
                                                                                                              & ~ ( p106 @ V )
                                                                                                              & ( p105 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p6 @ V )
                                                                                                              & ~ ( p106 @ V )
                                                                                                              & ( p105 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p105 @ U )
                                                                                                      & ( p104 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p5 @ V )
                                                                                                              & ~ ( p105 @ V )
                                                                                                              & ( p104 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p5 @ V )
                                                                                                              & ~ ( p105 @ V )
                                                                                                              & ( p104 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p104 @ U )
                                                                                                      & ( p103 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p4 @ V )
                                                                                                              & ~ ( p104 @ V )
                                                                                                              & ( p103 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p4 @ V )
                                                                                                              & ~ ( p104 @ V )
                                                                                                              & ( p103 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p103 @ U )
                                                                                                      & ( p102 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p3 @ V )
                                                                                                              & ~ ( p103 @ V )
                                                                                                              & ( p102 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p3 @ V )
                                                                                                              & ~ ( p103 @ V )
                                                                                                              & ( p102 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p102 @ U )
                                                                                                      & ( p101 @ U ) ) )
                                                                                                & ( ( ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ~ ( p2 @ V )
                                                                                                              & ~ ( p102 @ V )
                                                                                                              & ( p101 @ V ) ) )
                                                                                                    & ~ ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( ( p2 @ V )
                                                                                                              & ~ ( p102 @ V )
                                                                                                              & ( p101 @ V ) ) ) )
                                                                                                  | ~ ( ~ ( p101 @ U )
                                                                                                      & ( p100 @ U ) ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p21 @ V )
                                                                                                          | ~ ( p120 @ V ) )
                                                                                                      | ( p21 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p21 @ V )
                                                                                                          | ~ ( p120 @ V ) )
                                                                                                      | ~ ( p21 @ U ) ) )
                                                                                                  | ~ ( p120 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p20 @ V )
                                                                                                          | ~ ( p119 @ V ) )
                                                                                                      | ( p20 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p20 @ V )
                                                                                                          | ~ ( p119 @ V ) )
                                                                                                      | ~ ( p20 @ U ) ) )
                                                                                                  | ~ ( p119 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p19 @ V )
                                                                                                          | ~ ( p118 @ V ) )
                                                                                                      | ( p19 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p19 @ V )
                                                                                                          | ~ ( p118 @ V ) )
                                                                                                      | ~ ( p19 @ U ) ) )
                                                                                                  | ~ ( p118 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p18 @ V )
                                                                                                          | ~ ( p117 @ V ) )
                                                                                                      | ( p18 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p18 @ V )
                                                                                                          | ~ ( p117 @ V ) )
                                                                                                      | ~ ( p18 @ U ) ) )
                                                                                                  | ~ ( p117 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p17 @ V )
                                                                                                          | ~ ( p116 @ V ) )
                                                                                                      | ( p17 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p17 @ V )
                                                                                                          | ~ ( p116 @ V ) )
                                                                                                      | ~ ( p17 @ U ) ) )
                                                                                                  | ~ ( p116 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p16 @ V )
                                                                                                          | ~ ( p115 @ V ) )
                                                                                                      | ( p16 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p16 @ V )
                                                                                                          | ~ ( p115 @ V ) )
                                                                                                      | ~ ( p16 @ U ) ) )
                                                                                                  | ~ ( p115 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p15 @ V )
                                                                                                          | ~ ( p114 @ V ) )
                                                                                                      | ( p15 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p15 @ V )
                                                                                                          | ~ ( p114 @ V ) )
                                                                                                      | ~ ( p15 @ U ) ) )
                                                                                                  | ~ ( p114 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p14 @ V )
                                                                                                          | ~ ( p113 @ V ) )
                                                                                                      | ( p14 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p14 @ V )
                                                                                                          | ~ ( p113 @ V ) )
                                                                                                      | ~ ( p14 @ U ) ) )
                                                                                                  | ~ ( p113 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p13 @ V )
                                                                                                          | ~ ( p112 @ V ) )
                                                                                                      | ( p13 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p13 @ V )
                                                                                                          | ~ ( p112 @ V ) )
                                                                                                      | ~ ( p13 @ U ) ) )
                                                                                                  | ~ ( p112 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p12 @ V )
                                                                                                          | ~ ( p111 @ V ) )
                                                                                                      | ( p12 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p12 @ V )
                                                                                                          | ~ ( p111 @ V ) )
                                                                                                      | ~ ( p12 @ U ) ) )
                                                                                                  | ~ ( p111 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p11 @ V )
                                                                                                          | ~ ( p110 @ V ) )
                                                                                                      | ( p11 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p11 @ V )
                                                                                                          | ~ ( p110 @ V ) )
                                                                                                      | ~ ( p11 @ U ) ) )
                                                                                                  | ~ ( p110 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p10 @ V )
                                                                                                          | ~ ( p109 @ V ) )
                                                                                                      | ( p10 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p10 @ V )
                                                                                                          | ~ ( p109 @ V ) )
                                                                                                      | ~ ( p10 @ U ) ) )
                                                                                                  | ~ ( p109 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p9 @ V )
                                                                                                          | ~ ( p108 @ V ) )
                                                                                                      | ( p9 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p9 @ V )
                                                                                                          | ~ ( p108 @ V ) )
                                                                                                      | ~ ( p9 @ U ) ) )
                                                                                                  | ~ ( p108 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p8 @ V )
                                                                                                          | ~ ( p107 @ V ) )
                                                                                                      | ( p8 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p8 @ V )
                                                                                                          | ~ ( p107 @ V ) )
                                                                                                      | ~ ( p8 @ U ) ) )
                                                                                                  | ~ ( p107 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p7 @ V )
                                                                                                          | ~ ( p106 @ V ) )
                                                                                                      | ( p7 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p7 @ V )
                                                                                                          | ~ ( p106 @ V ) )
                                                                                                      | ~ ( p7 @ U ) ) )
                                                                                                  | ~ ( p106 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p6 @ V )
                                                                                                          | ~ ( p105 @ V ) )
                                                                                                      | ( p6 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p6 @ V )
                                                                                                          | ~ ( p105 @ V ) )
                                                                                                      | ~ ( p6 @ U ) ) )
                                                                                                  | ~ ( p105 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p5 @ V )
                                                                                                          | ~ ( p104 @ V ) )
                                                                                                      | ( p5 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p5 @ V )
                                                                                                          | ~ ( p104 @ V ) )
                                                                                                      | ~ ( p5 @ U ) ) )
                                                                                                  | ~ ( p104 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p4 @ V )
                                                                                                          | ~ ( p103 @ V ) )
                                                                                                      | ( p4 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p4 @ V )
                                                                                                          | ~ ( p103 @ V ) )
                                                                                                      | ~ ( p4 @ U ) ) )
                                                                                                  | ~ ( p103 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p3 @ V )
                                                                                                          | ~ ( p102 @ V ) )
                                                                                                      | ( p3 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p3 @ V )
                                                                                                          | ~ ( p102 @ V ) )
                                                                                                      | ~ ( p3 @ U ) ) )
                                                                                                  | ~ ( p102 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p2 @ V )
                                                                                                          | ~ ( p101 @ V ) )
                                                                                                      | ( p2 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p2 @ V )
                                                                                                          | ~ ( p101 @ V ) )
                                                                                                      | ~ ( p2 @ U ) ) )
                                                                                                  | ~ ( p101 @ U ) )
                                                                                                & ( ( ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ~ ( p1 @ V )
                                                                                                          | ~ ( p100 @ V ) )
                                                                                                      | ( p1 @ U ) )
                                                                                                    & ( ! [V: $i] :
                                                                                                          ( ~ ( r1 @ U @ V )
                                                                                                          | ( p1 @ V )
                                                                                                          | ~ ( p100 @ V ) )
                                                                                                      | ~ ( p1 @ U ) ) )
                                                                                                  | ~ ( p100 @ U ) )
                                                                                                & ( ( p120 @ U )
                                                                                                  | ~ ( p121 @ U ) )
                                                                                                & ( ( p119 @ U )
                                                                                                  | ~ ( p120 @ U ) )
                                                                                                & ( ( p118 @ U )
                                                                                                  | ~ ( p119 @ U ) )
                                                                                                & ( ( p117 @ U )
                                                                                                  | ~ ( p118 @ U ) )
                                                                                                & ( ( p116 @ U )
                                                                                                  | ~ ( p117 @ U ) )
                                                                                                & ( ( p115 @ U )
                                                                                                  | ~ ( p116 @ U ) )
                                                                                                & ( ( p114 @ U )
                                                                                                  | ~ ( p115 @ U ) )
                                                                                                & ( ( p113 @ U )
                                                                                                  | ~ ( p114 @ U ) )
                                                                                                & ( ( p112 @ U )
                                                                                                  | ~ ( p113 @ U ) )
                                                                                                & ( ( p111 @ U )
                                                                                                  | ~ ( p112 @ U ) )
                                                                                                & ( ( p110 @ U )
                                                                                                  | ~ ( p111 @ U ) )
                                                                                                & ( ( p109 @ U )
                                                                                                  | ~ ( p110 @ U ) )
                                                                                                & ( ( p108 @ U )
                                                                                                  | ~ ( p109 @ U ) )
                                                                                                & ( ( p107 @ U )
                                                                                                  | ~ ( p108 @ U ) )
                                                                                                & ( ( p106 @ U )
                                                                                                  | ~ ( p107 @ U ) )
                                                                                                & ( ( p105 @ U )
                                                                                                  | ~ ( p106 @ U ) )
                                                                                                & ( ( p104 @ U )
                                                                                                  | ~ ( p105 @ U ) )
                                                                                                & ( ( p103 @ U )
                                                                                                  | ~ ( p104 @ U ) )
                                                                                                & ( ( p102 @ U )
                                                                                                  | ~ ( p103 @ U ) )
                                                                                                & ( ( p101 @ U )
                                                                                                  | ~ ( p102 @ U ) )
                                                                                                & ( ( p100 @ U )
                                                                                                  | ~ ( p101 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
              & ~ ( p101 @ A )
              & ( p100 @ A ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

thf(2,negated_conjecture,
    ~ ~ ? [A: $i] :
          ~ ( ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ! [P: $i] :
                                                                          ( ~ ( r1 @ O @ P )
                                                                          | ! [Q: $i] :
                                                                              ( ~ ( r1 @ P @ Q )
                                                                              | ! [R: $i] :
                                                                                  ( ~ ( r1 @ Q @ R )
                                                                                  | ! [S: $i] :
                                                                                      ( ~ ( r1 @ R @ S )
                                                                                      | ! [T: $i] :
                                                                                          ( ~ ( r1 @ S @ T )
                                                                                          | ! [U: $i] :
                                                                                              ( ~ ( r1 @ T @ U )
                                                                                              | ( p8 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ! [R: $i] :
                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                    | ! [S: $i] :
                                                                                        ( ~ ( r1 @ R @ S )
                                                                                        | ! [T: $i] :
                                                                                            ( ~ ( r1 @ S @ T )
                                                                                            | ! [U: $i] :
                                                                                                ( ~ ( r1 @ T @ U )
                                                                                                | ( ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p21 @ V )
                                                                                                                & ~ ( p121 @ V )
                                                                                                                & ( p120 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p21 @ V )
                                                                                                                & ~ ( p121 @ V )
                                                                                                                & ( p120 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p120 @ U )
                                                                                                        & ( p119 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p20 @ V )
                                                                                                                & ~ ( p120 @ V )
                                                                                                                & ( p119 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p20 @ V )
                                                                                                                & ~ ( p120 @ V )
                                                                                                                & ( p119 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p119 @ U )
                                                                                                        & ( p118 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p19 @ V )
                                                                                                                & ~ ( p119 @ V )
                                                                                                                & ( p118 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p19 @ V )
                                                                                                                & ~ ( p119 @ V )
                                                                                                                & ( p118 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p118 @ U )
                                                                                                        & ( p117 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p18 @ V )
                                                                                                                & ~ ( p118 @ V )
                                                                                                                & ( p117 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p18 @ V )
                                                                                                                & ~ ( p118 @ V )
                                                                                                                & ( p117 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p117 @ U )
                                                                                                        & ( p116 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p17 @ V )
                                                                                                                & ~ ( p117 @ V )
                                                                                                                & ( p116 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p17 @ V )
                                                                                                                & ~ ( p117 @ V )
                                                                                                                & ( p116 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p116 @ U )
                                                                                                        & ( p115 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p16 @ V )
                                                                                                                & ~ ( p116 @ V )
                                                                                                                & ( p115 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p16 @ V )
                                                                                                                & ~ ( p116 @ V )
                                                                                                                & ( p115 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p115 @ U )
                                                                                                        & ( p114 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p15 @ V )
                                                                                                                & ~ ( p115 @ V )
                                                                                                                & ( p114 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p15 @ V )
                                                                                                                & ~ ( p115 @ V )
                                                                                                                & ( p114 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p114 @ U )
                                                                                                        & ( p113 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p14 @ V )
                                                                                                                & ~ ( p114 @ V )
                                                                                                                & ( p113 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p14 @ V )
                                                                                                                & ~ ( p114 @ V )
                                                                                                                & ( p113 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p113 @ U )
                                                                                                        & ( p112 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p13 @ V )
                                                                                                                & ~ ( p113 @ V )
                                                                                                                & ( p112 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p13 @ V )
                                                                                                                & ~ ( p113 @ V )
                                                                                                                & ( p112 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p112 @ U )
                                                                                                        & ( p111 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p12 @ V )
                                                                                                                & ~ ( p112 @ V )
                                                                                                                & ( p111 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p12 @ V )
                                                                                                                & ~ ( p112 @ V )
                                                                                                                & ( p111 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p111 @ U )
                                                                                                        & ( p110 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p11 @ V )
                                                                                                                & ~ ( p111 @ V )
                                                                                                                & ( p110 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p11 @ V )
                                                                                                                & ~ ( p111 @ V )
                                                                                                                & ( p110 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p110 @ U )
                                                                                                        & ( p109 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p10 @ V )
                                                                                                                & ~ ( p110 @ V )
                                                                                                                & ( p109 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p10 @ V )
                                                                                                                & ~ ( p110 @ V )
                                                                                                                & ( p109 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p109 @ U )
                                                                                                        & ( p108 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p9 @ V )
                                                                                                                & ~ ( p109 @ V )
                                                                                                                & ( p108 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p9 @ V )
                                                                                                                & ~ ( p109 @ V )
                                                                                                                & ( p108 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p108 @ U )
                                                                                                        & ( p107 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p8 @ V )
                                                                                                                & ~ ( p108 @ V )
                                                                                                                & ( p107 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p8 @ V )
                                                                                                                & ~ ( p108 @ V )
                                                                                                                & ( p107 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p107 @ U )
                                                                                                        & ( p106 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p7 @ V )
                                                                                                                & ~ ( p107 @ V )
                                                                                                                & ( p106 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p7 @ V )
                                                                                                                & ~ ( p107 @ V )
                                                                                                                & ( p106 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p106 @ U )
                                                                                                        & ( p105 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p6 @ V )
                                                                                                                & ~ ( p106 @ V )
                                                                                                                & ( p105 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p6 @ V )
                                                                                                                & ~ ( p106 @ V )
                                                                                                                & ( p105 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p105 @ U )
                                                                                                        & ( p104 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p5 @ V )
                                                                                                                & ~ ( p105 @ V )
                                                                                                                & ( p104 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p5 @ V )
                                                                                                                & ~ ( p105 @ V )
                                                                                                                & ( p104 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p104 @ U )
                                                                                                        & ( p103 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p4 @ V )
                                                                                                                & ~ ( p104 @ V )
                                                                                                                & ( p103 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p4 @ V )
                                                                                                                & ~ ( p104 @ V )
                                                                                                                & ( p103 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p103 @ U )
                                                                                                        & ( p102 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p3 @ V )
                                                                                                                & ~ ( p103 @ V )
                                                                                                                & ( p102 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p3 @ V )
                                                                                                                & ~ ( p103 @ V )
                                                                                                                & ( p102 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p102 @ U )
                                                                                                        & ( p101 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p2 @ V )
                                                                                                                & ~ ( p102 @ V )
                                                                                                                & ( p101 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p2 @ V )
                                                                                                                & ~ ( p102 @ V )
                                                                                                                & ( p101 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p101 @ U )
                                                                                                        & ( p100 @ U ) ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p21 @ V )
                                                                                                            | ~ ( p120 @ V ) )
                                                                                                        | ( p21 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p21 @ V )
                                                                                                            | ~ ( p120 @ V ) )
                                                                                                        | ~ ( p21 @ U ) ) )
                                                                                                    | ~ ( p120 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p20 @ V )
                                                                                                            | ~ ( p119 @ V ) )
                                                                                                        | ( p20 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p20 @ V )
                                                                                                            | ~ ( p119 @ V ) )
                                                                                                        | ~ ( p20 @ U ) ) )
                                                                                                    | ~ ( p119 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p19 @ V )
                                                                                                            | ~ ( p118 @ V ) )
                                                                                                        | ( p19 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p19 @ V )
                                                                                                            | ~ ( p118 @ V ) )
                                                                                                        | ~ ( p19 @ U ) ) )
                                                                                                    | ~ ( p118 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p18 @ V )
                                                                                                            | ~ ( p117 @ V ) )
                                                                                                        | ( p18 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p18 @ V )
                                                                                                            | ~ ( p117 @ V ) )
                                                                                                        | ~ ( p18 @ U ) ) )
                                                                                                    | ~ ( p117 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p17 @ V )
                                                                                                            | ~ ( p116 @ V ) )
                                                                                                        | ( p17 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p17 @ V )
                                                                                                            | ~ ( p116 @ V ) )
                                                                                                        | ~ ( p17 @ U ) ) )
                                                                                                    | ~ ( p116 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p16 @ V )
                                                                                                            | ~ ( p115 @ V ) )
                                                                                                        | ( p16 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p16 @ V )
                                                                                                            | ~ ( p115 @ V ) )
                                                                                                        | ~ ( p16 @ U ) ) )
                                                                                                    | ~ ( p115 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p15 @ V )
                                                                                                            | ~ ( p114 @ V ) )
                                                                                                        | ( p15 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p15 @ V )
                                                                                                            | ~ ( p114 @ V ) )
                                                                                                        | ~ ( p15 @ U ) ) )
                                                                                                    | ~ ( p114 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p14 @ V )
                                                                                                            | ~ ( p113 @ V ) )
                                                                                                        | ( p14 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p14 @ V )
                                                                                                            | ~ ( p113 @ V ) )
                                                                                                        | ~ ( p14 @ U ) ) )
                                                                                                    | ~ ( p113 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p13 @ V )
                                                                                                            | ~ ( p112 @ V ) )
                                                                                                        | ( p13 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p13 @ V )
                                                                                                            | ~ ( p112 @ V ) )
                                                                                                        | ~ ( p13 @ U ) ) )
                                                                                                    | ~ ( p112 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p12 @ V )
                                                                                                            | ~ ( p111 @ V ) )
                                                                                                        | ( p12 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p12 @ V )
                                                                                                            | ~ ( p111 @ V ) )
                                                                                                        | ~ ( p12 @ U ) ) )
                                                                                                    | ~ ( p111 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p11 @ V )
                                                                                                            | ~ ( p110 @ V ) )
                                                                                                        | ( p11 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p11 @ V )
                                                                                                            | ~ ( p110 @ V ) )
                                                                                                        | ~ ( p11 @ U ) ) )
                                                                                                    | ~ ( p110 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p10 @ V )
                                                                                                            | ~ ( p109 @ V ) )
                                                                                                        | ( p10 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p10 @ V )
                                                                                                            | ~ ( p109 @ V ) )
                                                                                                        | ~ ( p10 @ U ) ) )
                                                                                                    | ~ ( p109 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p9 @ V )
                                                                                                            | ~ ( p108 @ V ) )
                                                                                                        | ( p9 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p9 @ V )
                                                                                                            | ~ ( p108 @ V ) )
                                                                                                        | ~ ( p9 @ U ) ) )
                                                                                                    | ~ ( p108 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p8 @ V )
                                                                                                            | ~ ( p107 @ V ) )
                                                                                                        | ( p8 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p8 @ V )
                                                                                                            | ~ ( p107 @ V ) )
                                                                                                        | ~ ( p8 @ U ) ) )
                                                                                                    | ~ ( p107 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p7 @ V )
                                                                                                            | ~ ( p106 @ V ) )
                                                                                                        | ( p7 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p7 @ V )
                                                                                                            | ~ ( p106 @ V ) )
                                                                                                        | ~ ( p7 @ U ) ) )
                                                                                                    | ~ ( p106 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p6 @ V )
                                                                                                            | ~ ( p105 @ V ) )
                                                                                                        | ( p6 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p6 @ V )
                                                                                                            | ~ ( p105 @ V ) )
                                                                                                        | ~ ( p6 @ U ) ) )
                                                                                                    | ~ ( p105 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p5 @ V )
                                                                                                            | ~ ( p104 @ V ) )
                                                                                                        | ( p5 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p5 @ V )
                                                                                                            | ~ ( p104 @ V ) )
                                                                                                        | ~ ( p5 @ U ) ) )
                                                                                                    | ~ ( p104 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p4 @ V )
                                                                                                            | ~ ( p103 @ V ) )
                                                                                                        | ( p4 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p4 @ V )
                                                                                                            | ~ ( p103 @ V ) )
                                                                                                        | ~ ( p4 @ U ) ) )
                                                                                                    | ~ ( p103 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p3 @ V )
                                                                                                            | ~ ( p102 @ V ) )
                                                                                                        | ( p3 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p3 @ V )
                                                                                                            | ~ ( p102 @ V ) )
                                                                                                        | ~ ( p3 @ U ) ) )
                                                                                                    | ~ ( p102 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p2 @ V )
                                                                                                            | ~ ( p101 @ V ) )
                                                                                                        | ( p2 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p2 @ V )
                                                                                                            | ~ ( p101 @ V ) )
                                                                                                        | ~ ( p2 @ U ) ) )
                                                                                                    | ~ ( p101 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p1 @ V )
                                                                                                            | ~ ( p100 @ V ) )
                                                                                                        | ( p1 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p1 @ V )
                                                                                                            | ~ ( p100 @ V ) )
                                                                                                        | ~ ( p1 @ U ) ) )
                                                                                                    | ~ ( p100 @ U ) )
                                                                                                  & ( ( p120 @ U )
                                                                                                    | ~ ( p121 @ U ) )
                                                                                                  & ( ( p119 @ U )
                                                                                                    | ~ ( p120 @ U ) )
                                                                                                  & ( ( p118 @ U )
                                                                                                    | ~ ( p119 @ U ) )
                                                                                                  & ( ( p117 @ U )
                                                                                                    | ~ ( p118 @ U ) )
                                                                                                  & ( ( p116 @ U )
                                                                                                    | ~ ( p117 @ U ) )
                                                                                                  & ( ( p115 @ U )
                                                                                                    | ~ ( p116 @ U ) )
                                                                                                  & ( ( p114 @ U )
                                                                                                    | ~ ( p115 @ U ) )
                                                                                                  & ( ( p113 @ U )
                                                                                                    | ~ ( p114 @ U ) )
                                                                                                  & ( ( p112 @ U )
                                                                                                    | ~ ( p113 @ U ) )
                                                                                                  & ( ( p111 @ U )
                                                                                                    | ~ ( p112 @ U ) )
                                                                                                  & ( ( p110 @ U )
                                                                                                    | ~ ( p111 @ U ) )
                                                                                                  & ( ( p109 @ U )
                                                                                                    | ~ ( p110 @ U ) )
                                                                                                  & ( ( p108 @ U )
                                                                                                    | ~ ( p109 @ U ) )
                                                                                                  & ( ( p107 @ U )
                                                                                                    | ~ ( p108 @ U ) )
                                                                                                  & ( ( p106 @ U )
                                                                                                    | ~ ( p107 @ U ) )
                                                                                                  & ( ( p105 @ U )
                                                                                                    | ~ ( p106 @ U ) )
                                                                                                  & ( ( p104 @ U )
                                                                                                    | ~ ( p105 @ U ) )
                                                                                                  & ( ( p103 @ U )
                                                                                                    | ~ ( p104 @ U ) )
                                                                                                  & ( ( p102 @ U )
                                                                                                    | ~ ( p103 @ U ) )
                                                                                                  & ( ( p101 @ U )
                                                                                                    | ~ ( p102 @ U ) )
                                                                                                  & ( ( p100 @ U )
                                                                                                    | ~ ( p101 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                & ~ ( p101 @ A )
                & ( p100 @ A ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(4,plain,
    ~ ~ ? [A: $i] :
          ~ ( ~ ! [B: $i] :
                  ( ~ ( r1 @ A @ B )
                  | ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ! [D: $i] :
                          ( ~ ( r1 @ C @ D )
                          | ! [E: $i] :
                              ( ~ ( r1 @ D @ E )
                              | ! [F: $i] :
                                  ( ~ ( r1 @ E @ F )
                                  | ! [G: $i] :
                                      ( ~ ( r1 @ F @ G )
                                      | ! [H: $i] :
                                          ( ~ ( r1 @ G @ H )
                                          | ! [I: $i] :
                                              ( ~ ( r1 @ H @ I )
                                              | ! [J: $i] :
                                                  ( ~ ( r1 @ I @ J )
                                                  | ! [K: $i] :
                                                      ( ~ ( r1 @ J @ K )
                                                      | ! [L: $i] :
                                                          ( ~ ( r1 @ K @ L )
                                                          | ! [M: $i] :
                                                              ( ~ ( r1 @ L @ M )
                                                              | ! [N: $i] :
                                                                  ( ~ ( r1 @ M @ N )
                                                                  | ! [O: $i] :
                                                                      ( ~ ( r1 @ N @ O )
                                                                      | ! [P: $i] :
                                                                          ( ~ ( r1 @ O @ P )
                                                                          | ! [Q: $i] :
                                                                              ( ~ ( r1 @ P @ Q )
                                                                              | ! [R: $i] :
                                                                                  ( ~ ( r1 @ Q @ R )
                                                                                  | ! [S: $i] :
                                                                                      ( ~ ( r1 @ R @ S )
                                                                                      | ! [T: $i] :
                                                                                          ( ~ ( r1 @ S @ T )
                                                                                          | ! [U: $i] :
                                                                                              ( ~ ( r1 @ T @ U )
                                                                                              | ( p8 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
            | ~ ( ! [B: $i] :
                    ( ~ ( r1 @ A @ B )
                    | ! [C: $i] :
                        ( ~ ( r1 @ B @ C )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | ! [Q: $i] :
                                                                                ( ~ ( r1 @ P @ Q )
                                                                                | ! [R: $i] :
                                                                                    ( ~ ( r1 @ Q @ R )
                                                                                    | ! [S: $i] :
                                                                                        ( ~ ( r1 @ R @ S )
                                                                                        | ! [T: $i] :
                                                                                            ( ~ ( r1 @ S @ T )
                                                                                            | ! [U: $i] :
                                                                                                ( ~ ( r1 @ T @ U )
                                                                                                | ( ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p21 @ V )
                                                                                                                & ~ ( p121 @ V )
                                                                                                                & ( p120 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p21 @ V )
                                                                                                                & ~ ( p121 @ V )
                                                                                                                & ( p120 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p120 @ U )
                                                                                                        & ( p119 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p20 @ V )
                                                                                                                & ~ ( p120 @ V )
                                                                                                                & ( p119 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p20 @ V )
                                                                                                                & ~ ( p120 @ V )
                                                                                                                & ( p119 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p119 @ U )
                                                                                                        & ( p118 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p19 @ V )
                                                                                                                & ~ ( p119 @ V )
                                                                                                                & ( p118 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p19 @ V )
                                                                                                                & ~ ( p119 @ V )
                                                                                                                & ( p118 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p118 @ U )
                                                                                                        & ( p117 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p18 @ V )
                                                                                                                & ~ ( p118 @ V )
                                                                                                                & ( p117 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p18 @ V )
                                                                                                                & ~ ( p118 @ V )
                                                                                                                & ( p117 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p117 @ U )
                                                                                                        & ( p116 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p17 @ V )
                                                                                                                & ~ ( p117 @ V )
                                                                                                                & ( p116 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p17 @ V )
                                                                                                                & ~ ( p117 @ V )
                                                                                                                & ( p116 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p116 @ U )
                                                                                                        & ( p115 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p16 @ V )
                                                                                                                & ~ ( p116 @ V )
                                                                                                                & ( p115 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p16 @ V )
                                                                                                                & ~ ( p116 @ V )
                                                                                                                & ( p115 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p115 @ U )
                                                                                                        & ( p114 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p15 @ V )
                                                                                                                & ~ ( p115 @ V )
                                                                                                                & ( p114 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p15 @ V )
                                                                                                                & ~ ( p115 @ V )
                                                                                                                & ( p114 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p114 @ U )
                                                                                                        & ( p113 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p14 @ V )
                                                                                                                & ~ ( p114 @ V )
                                                                                                                & ( p113 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p14 @ V )
                                                                                                                & ~ ( p114 @ V )
                                                                                                                & ( p113 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p113 @ U )
                                                                                                        & ( p112 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p13 @ V )
                                                                                                                & ~ ( p113 @ V )
                                                                                                                & ( p112 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p13 @ V )
                                                                                                                & ~ ( p113 @ V )
                                                                                                                & ( p112 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p112 @ U )
                                                                                                        & ( p111 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p12 @ V )
                                                                                                                & ~ ( p112 @ V )
                                                                                                                & ( p111 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p12 @ V )
                                                                                                                & ~ ( p112 @ V )
                                                                                                                & ( p111 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p111 @ U )
                                                                                                        & ( p110 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p11 @ V )
                                                                                                                & ~ ( p111 @ V )
                                                                                                                & ( p110 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p11 @ V )
                                                                                                                & ~ ( p111 @ V )
                                                                                                                & ( p110 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p110 @ U )
                                                                                                        & ( p109 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p10 @ V )
                                                                                                                & ~ ( p110 @ V )
                                                                                                                & ( p109 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p10 @ V )
                                                                                                                & ~ ( p110 @ V )
                                                                                                                & ( p109 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p109 @ U )
                                                                                                        & ( p108 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p9 @ V )
                                                                                                                & ~ ( p109 @ V )
                                                                                                                & ( p108 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p9 @ V )
                                                                                                                & ~ ( p109 @ V )
                                                                                                                & ( p108 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p108 @ U )
                                                                                                        & ( p107 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p8 @ V )
                                                                                                                & ~ ( p108 @ V )
                                                                                                                & ( p107 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p8 @ V )
                                                                                                                & ~ ( p108 @ V )
                                                                                                                & ( p107 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p107 @ U )
                                                                                                        & ( p106 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p7 @ V )
                                                                                                                & ~ ( p107 @ V )
                                                                                                                & ( p106 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p7 @ V )
                                                                                                                & ~ ( p107 @ V )
                                                                                                                & ( p106 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p106 @ U )
                                                                                                        & ( p105 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p6 @ V )
                                                                                                                & ~ ( p106 @ V )
                                                                                                                & ( p105 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p6 @ V )
                                                                                                                & ~ ( p106 @ V )
                                                                                                                & ( p105 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p105 @ U )
                                                                                                        & ( p104 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p5 @ V )
                                                                                                                & ~ ( p105 @ V )
                                                                                                                & ( p104 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p5 @ V )
                                                                                                                & ~ ( p105 @ V )
                                                                                                                & ( p104 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p104 @ U )
                                                                                                        & ( p103 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p4 @ V )
                                                                                                                & ~ ( p104 @ V )
                                                                                                                & ( p103 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p4 @ V )
                                                                                                                & ~ ( p104 @ V )
                                                                                                                & ( p103 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p103 @ U )
                                                                                                        & ( p102 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p3 @ V )
                                                                                                                & ~ ( p103 @ V )
                                                                                                                & ( p102 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p3 @ V )
                                                                                                                & ~ ( p103 @ V )
                                                                                                                & ( p102 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p102 @ U )
                                                                                                        & ( p101 @ U ) ) )
                                                                                                  & ( ( ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ~ ( p2 @ V )
                                                                                                                & ~ ( p102 @ V )
                                                                                                                & ( p101 @ V ) ) )
                                                                                                      & ~ ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( ( p2 @ V )
                                                                                                                & ~ ( p102 @ V )
                                                                                                                & ( p101 @ V ) ) ) )
                                                                                                    | ~ ( ~ ( p101 @ U )
                                                                                                        & ( p100 @ U ) ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p21 @ V )
                                                                                                            | ~ ( p120 @ V ) )
                                                                                                        | ( p21 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p21 @ V )
                                                                                                            | ~ ( p120 @ V ) )
                                                                                                        | ~ ( p21 @ U ) ) )
                                                                                                    | ~ ( p120 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p20 @ V )
                                                                                                            | ~ ( p119 @ V ) )
                                                                                                        | ( p20 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p20 @ V )
                                                                                                            | ~ ( p119 @ V ) )
                                                                                                        | ~ ( p20 @ U ) ) )
                                                                                                    | ~ ( p119 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p19 @ V )
                                                                                                            | ~ ( p118 @ V ) )
                                                                                                        | ( p19 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p19 @ V )
                                                                                                            | ~ ( p118 @ V ) )
                                                                                                        | ~ ( p19 @ U ) ) )
                                                                                                    | ~ ( p118 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p18 @ V )
                                                                                                            | ~ ( p117 @ V ) )
                                                                                                        | ( p18 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p18 @ V )
                                                                                                            | ~ ( p117 @ V ) )
                                                                                                        | ~ ( p18 @ U ) ) )
                                                                                                    | ~ ( p117 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p17 @ V )
                                                                                                            | ~ ( p116 @ V ) )
                                                                                                        | ( p17 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p17 @ V )
                                                                                                            | ~ ( p116 @ V ) )
                                                                                                        | ~ ( p17 @ U ) ) )
                                                                                                    | ~ ( p116 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p16 @ V )
                                                                                                            | ~ ( p115 @ V ) )
                                                                                                        | ( p16 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p16 @ V )
                                                                                                            | ~ ( p115 @ V ) )
                                                                                                        | ~ ( p16 @ U ) ) )
                                                                                                    | ~ ( p115 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p15 @ V )
                                                                                                            | ~ ( p114 @ V ) )
                                                                                                        | ( p15 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p15 @ V )
                                                                                                            | ~ ( p114 @ V ) )
                                                                                                        | ~ ( p15 @ U ) ) )
                                                                                                    | ~ ( p114 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p14 @ V )
                                                                                                            | ~ ( p113 @ V ) )
                                                                                                        | ( p14 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p14 @ V )
                                                                                                            | ~ ( p113 @ V ) )
                                                                                                        | ~ ( p14 @ U ) ) )
                                                                                                    | ~ ( p113 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p13 @ V )
                                                                                                            | ~ ( p112 @ V ) )
                                                                                                        | ( p13 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p13 @ V )
                                                                                                            | ~ ( p112 @ V ) )
                                                                                                        | ~ ( p13 @ U ) ) )
                                                                                                    | ~ ( p112 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p12 @ V )
                                                                                                            | ~ ( p111 @ V ) )
                                                                                                        | ( p12 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p12 @ V )
                                                                                                            | ~ ( p111 @ V ) )
                                                                                                        | ~ ( p12 @ U ) ) )
                                                                                                    | ~ ( p111 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p11 @ V )
                                                                                                            | ~ ( p110 @ V ) )
                                                                                                        | ( p11 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p11 @ V )
                                                                                                            | ~ ( p110 @ V ) )
                                                                                                        | ~ ( p11 @ U ) ) )
                                                                                                    | ~ ( p110 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p10 @ V )
                                                                                                            | ~ ( p109 @ V ) )
                                                                                                        | ( p10 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p10 @ V )
                                                                                                            | ~ ( p109 @ V ) )
                                                                                                        | ~ ( p10 @ U ) ) )
                                                                                                    | ~ ( p109 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p9 @ V )
                                                                                                            | ~ ( p108 @ V ) )
                                                                                                        | ( p9 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p9 @ V )
                                                                                                            | ~ ( p108 @ V ) )
                                                                                                        | ~ ( p9 @ U ) ) )
                                                                                                    | ~ ( p108 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p8 @ V )
                                                                                                            | ~ ( p107 @ V ) )
                                                                                                        | ( p8 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p8 @ V )
                                                                                                            | ~ ( p107 @ V ) )
                                                                                                        | ~ ( p8 @ U ) ) )
                                                                                                    | ~ ( p107 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p7 @ V )
                                                                                                            | ~ ( p106 @ V ) )
                                                                                                        | ( p7 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p7 @ V )
                                                                                                            | ~ ( p106 @ V ) )
                                                                                                        | ~ ( p7 @ U ) ) )
                                                                                                    | ~ ( p106 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p6 @ V )
                                                                                                            | ~ ( p105 @ V ) )
                                                                                                        | ( p6 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p6 @ V )
                                                                                                            | ~ ( p105 @ V ) )
                                                                                                        | ~ ( p6 @ U ) ) )
                                                                                                    | ~ ( p105 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p5 @ V )
                                                                                                            | ~ ( p104 @ V ) )
                                                                                                        | ( p5 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p5 @ V )
                                                                                                            | ~ ( p104 @ V ) )
                                                                                                        | ~ ( p5 @ U ) ) )
                                                                                                    | ~ ( p104 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p4 @ V )
                                                                                                            | ~ ( p103 @ V ) )
                                                                                                        | ( p4 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p4 @ V )
                                                                                                            | ~ ( p103 @ V ) )
                                                                                                        | ~ ( p4 @ U ) ) )
                                                                                                    | ~ ( p103 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p3 @ V )
                                                                                                            | ~ ( p102 @ V ) )
                                                                                                        | ( p3 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p3 @ V )
                                                                                                            | ~ ( p102 @ V ) )
                                                                                                        | ~ ( p3 @ U ) ) )
                                                                                                    | ~ ( p102 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p2 @ V )
                                                                                                            | ~ ( p101 @ V ) )
                                                                                                        | ( p2 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p2 @ V )
                                                                                                            | ~ ( p101 @ V ) )
                                                                                                        | ~ ( p2 @ U ) ) )
                                                                                                    | ~ ( p101 @ U ) )
                                                                                                  & ( ( ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ~ ( p1 @ V )
                                                                                                            | ~ ( p100 @ V ) )
                                                                                                        | ( p1 @ U ) )
                                                                                                      & ( ! [V: $i] :
                                                                                                            ( ~ ( r1 @ U @ V )
                                                                                                            | ( p1 @ V )
                                                                                                            | ~ ( p100 @ V ) )
                                                                                                        | ~ ( p1 @ U ) ) )
                                                                                                    | ~ ( p100 @ U ) )
                                                                                                  & ( ( p120 @ U )
                                                                                                    | ~ ( p121 @ U ) )
                                                                                                  & ( ( p119 @ U )
                                                                                                    | ~ ( p120 @ U ) )
                                                                                                  & ( ( p118 @ U )
                                                                                                    | ~ ( p119 @ U ) )
                                                                                                  & ( ( p117 @ U )
                                                                                                    | ~ ( p118 @ U ) )
                                                                                                  & ( ( p116 @ U )
                                                                                                    | ~ ( p117 @ U ) )
                                                                                                  & ( ( p115 @ U )
                                                                                                    | ~ ( p116 @ U ) )
                                                                                                  & ( ( p114 @ U )
                                                                                                    | ~ ( p115 @ U ) )
                                                                                                  & ( ( p113 @ U )
                                                                                                    | ~ ( p114 @ U ) )
                                                                                                  & ( ( p112 @ U )
                                                                                                    | ~ ( p113 @ U ) )
                                                                                                  & ( ( p111 @ U )
                                                                                                    | ~ ( p112 @ U ) )
                                                                                                  & ( ( p110 @ U )
                                                                                                    | ~ ( p111 @ U ) )
                                                                                                  & ( ( p109 @ U )
                                                                                                    | ~ ( p110 @ U ) )
                                                                                                  & ( ( p108 @ U )
                                                                                                    | ~ ( p109 @ U ) )
                                                                                                  & ( ( p107 @ U )
                                                                                                    | ~ ( p108 @ U ) )
                                                                                                  & ( ( p106 @ U )
                                                                                                    | ~ ( p107 @ U ) )
                                                                                                  & ( ( p105 @ U )
                                                                                                    | ~ ( p106 @ U ) )
                                                                                                  & ( ( p104 @ U )
                                                                                                    | ~ ( p105 @ U ) )
                                                                                                  & ( ( p103 @ U )
                                                                                                    | ~ ( p104 @ U ) )
                                                                                                  & ( ( p102 @ U )
                                                                                                    | ~ ( p103 @ U ) )
                                                                                                  & ( ( p101 @ U )
                                                                                                    | ~ ( p102 @ U ) )
                                                                                                  & ( ( p100 @ U )
                                                                                                    | ~ ( p101 @ U ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) ) )
                & ~ ( p101 @ A )
                & ( p100 @ A ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(3,axiom,
    ! [A: $i] : ( r1 @ A @ A ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity) ).

thf(456,plain,
    ! [A: $i] : ( r1 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4652,plain,
    $false,
    inference(e,[status(thm)],[4,456]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL656+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n003.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Thu May 18 15:42:31 EDT 2023
% 0.15/0.36  % CPUTime  : 
% 0.98/0.89  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.29/1.09  % [INFO] 	 Parsing done (195ms). 
% 1.64/1.09  % [INFO] 	 Running in sequential loop mode. 
% 1.88/1.29  % [INFO] 	 eprover registered as external prover. 
% 1.88/1.30  % [INFO] 	 cvc4 registered as external prover. 
% 1.88/1.30  % [INFO] 	 Scanning for conjecture ... 
% 2.73/1.63  % [INFO] 	 Found a conjecture and 1 axioms. Running axiom selection ... 
% 3.01/1.71  % [INFO] 	 Axiom selection finished. Selected 1 axioms (removed 0 axioms). 
% 3.01/1.71  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 3.01/1.72  % [INFO] 	 Type checking passed. 
% 3.01/1.72  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 22.69/7.45  % External prover 'e' found a proof!
% 22.69/7.45  % [INFO] 	 Killing All external provers ... 
% 22.69/7.46  % Time passed: 6938ms (effective reasoning time: 6358ms)
% 22.69/7.46  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 22.69/7.46  % Axioms used in derivation (1): reflexivity
% 22.69/7.46  % No. of inferences in proof: 6
% 22.69/7.46  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 6938 ms resp. 6358 ms w/o parsing
% 22.69/7.53  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 22.69/7.53  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------