TSTP Solution File: LCL686+1.020 by Zipperpin---2.1.9999

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Zipperpin---2.1.9999
% Problem  : LCL686+1.020 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : NO INFORMATION
% Format   : NO INFORMATION
% Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3zsMfJB95i true

% Computer : n015.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 : Thu Aug 31 09:01:34 EDT 2023

% Result   : Theorem 1.31s 1.10s
% Output   : Refutation 1.31s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    7
%            Number of leaves      :   65
% Syntax   : Number of formulae    :   82 (   6 unt;  63 typ;   0 def)
%            Number of atoms       : 1223 (   0 equ;   0 cnn)
%            Maximal formula atoms :  589 (  64 avg)
%            Number of connectives : 3699 ( 982   ~; 740   |; 464   &;1513   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  190 (  26 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   63 (  63   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   64 (  63 usr;   2 con; 0-2 aty)
%            Number of variables   :  267 (   0   ^; 265   !;   2   ?; 267   :)

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

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

thf(p55_type,type,
    p55: $i > $o ).

thf(p35_type,type,
    p35: $i > $o ).

thf(p29_type,type,
    p29: $i > $o ).

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

thf(p56_type,type,
    p56: $i > $o ).

thf(p23_type,type,
    p23: $i > $o ).

thf(p42_type,type,
    p42: $i > $o ).

thf(p30_type,type,
    p30: $i > $o ).

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

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

thf(p50_type,type,
    p50: $i > $o ).

thf(p24_type,type,
    p24: $i > $o ).

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

thf(p57_type,type,
    p57: $i > $o ).

thf(p45_type,type,
    p45: $i > $o ).

thf(p48_type,type,
    p48: $i > $o ).

thf(p26_type,type,
    p26: $i > $o ).

thf(p36_type,type,
    p36: $i > $o ).

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

thf(p49_type,type,
    p49: $i > $o ).

thf(p28_type,type,
    p28: $i > $o ).

thf(p47_type,type,
    p47: $i > $o ).

thf(sk__63_type,type,
    sk__63: $i > $i ).

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

thf(p60_type,type,
    p60: $i > $o ).

thf(p52_type,type,
    p52: $i > $o ).

thf(p34_type,type,
    p34: $i > $o ).

thf(sk__3_type,type,
    sk__3: $i ).

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

thf(p44_type,type,
    p44: $i > $o ).

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

thf(p46_type,type,
    p46: $i > $o ).

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

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

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

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

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

thf(p27_type,type,
    p27: $i > $o ).

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

thf(p38_type,type,
    p38: $i > $o ).

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

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

thf(p51_type,type,
    p51: $i > $o ).

thf(p58_type,type,
    p58: $i > $o ).

thf(p54_type,type,
    p54: $i > $o ).

thf(p37_type,type,
    p37: $i > $o ).

thf(p43_type,type,
    p43: $i > $o ).

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

thf(p22_type,type,
    p22: $i > $o ).

thf(p32_type,type,
    p32: $i > $o ).

thf(p59_type,type,
    p59: $i > $o ).

thf(p31_type,type,
    p31: $i > $o ).

thf(p25_type,type,
    p25: $i > $o ).

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

thf(p41_type,type,
    p41: $i > $o ).

thf(p40_type,type,
    p40: $i > $o ).

thf(p33_type,type,
    p33: $i > $o ).

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

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

thf(p53_type,type,
    p53: $i > $o ).

thf(p39_type,type,
    p39: $i > $o ).

thf(reflexivity,axiom,
    ! [X: $i] : ( r1 @ X @ X ) ).

thf(zip_derived_cl0,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(main,conjecture,
    ~ ? [X: $i] :
        ~ ( ! [Y: $i] :
              ( ! [X: $i] :
                  ( ~ ( p1 @ X )
                  | ~ ( r1 @ Y @ X ) )
              | ~ ( p60 @ Y )
              | ~ ( r1 @ X @ Y ) )
          | ! [Y: $i] :
              ( ~ ! [X: $i] :
                    ( ~ ( ! [Y: $i] :
                            ( ~ ! [X: $i] :
                                  ( ~ ( ( ( p3 @ X )
                                        & ~ ( p2 @ X ) )
                                      | ( ~ ( p3 @ X )
                                        & ( p2 @ X ) ) )
                                  | ~ ( r1 @ Y @ X ) )
                            | ! [X: $i] :
                                ( ~ ! [Y: $i] :
                                      ( ~ ( ( ( p4 @ Y )
                                            & ~ ( p3 @ Y ) )
                                          | ( ~ ( p4 @ Y )
                                            & ( p3 @ Y ) ) )
                                      | ~ ( r1 @ X @ Y ) )
                                | ! [Y: $i] :
                                    ( ~ ! [X: $i] :
                                          ( ~ ( ( ( p5 @ X )
                                                & ~ ( p4 @ X ) )
                                              | ( ~ ( p5 @ X )
                                                & ( p4 @ X ) ) )
                                          | ~ ( r1 @ Y @ X ) )
                                    | ! [X: $i] :
                                        ( ~ ! [Y: $i] :
                                              ( ~ ( ( ( p6 @ Y )
                                                    & ~ ( p5 @ Y ) )
                                                  | ( ~ ( p6 @ Y )
                                                    & ( p5 @ Y ) ) )
                                              | ~ ( r1 @ X @ Y ) )
                                        | ! [Y: $i] :
                                            ( ~ ! [X: $i] :
                                                  ( ~ ( ( ( p7 @ X )
                                                        & ~ ( p6 @ X ) )
                                                      | ( ~ ( p7 @ X )
                                                        & ( p6 @ X ) ) )
                                                  | ~ ( r1 @ Y @ X ) )
                                            | ! [X: $i] :
                                                ( ~ ! [Y: $i] :
                                                      ( ~ ( ( ( p8 @ Y )
                                                            & ~ ( p7 @ Y ) )
                                                          | ( ~ ( p8 @ Y )
                                                            & ( p7 @ Y ) ) )
                                                      | ~ ( r1 @ X @ Y ) )
                                                | ! [Y: $i] :
                                                    ( ~ ! [X: $i] :
                                                          ( ~ ( ( ( p9 @ X )
                                                                & ~ ( p8 @ X ) )
                                                              | ( ~ ( p9 @ X )
                                                                & ( p8 @ X ) ) )
                                                          | ~ ( r1 @ Y @ X ) )
                                                    | ! [X: $i] :
                                                        ( ~ ! [Y: $i] :
                                                              ( ~ ( ( ( p10 @ Y )
                                                                    & ~ ( p9 @ Y ) )
                                                                  | ( ~ ( p10 @ Y )
                                                                    & ( p9 @ Y ) ) )
                                                              | ~ ( r1 @ X @ Y ) )
                                                        | ! [Y: $i] :
                                                            ( ~ ! [X: $i] :
                                                                  ( ~ ( ( ( p11 @ X )
                                                                        & ~ ( p10 @ X ) )
                                                                      | ( ~ ( p11 @ X )
                                                                        & ( p10 @ X ) ) )
                                                                  | ~ ( r1 @ Y @ X ) )
                                                            | ! [X: $i] :
                                                                ( ~ ! [Y: $i] :
                                                                      ( ~ ( ( ( p12 @ Y )
                                                                            & ~ ( p11 @ Y ) )
                                                                          | ( ~ ( p12 @ Y )
                                                                            & ( p11 @ Y ) ) )
                                                                      | ~ ( r1 @ X @ Y ) )
                                                                | ! [Y: $i] :
                                                                    ( ~ ! [X: $i] :
                                                                          ( ~ ( ( ( p13 @ X )
                                                                                & ~ ( p12 @ X ) )
                                                                              | ( ~ ( p13 @ X )
                                                                                & ( p12 @ X ) ) )
                                                                          | ~ ( r1 @ Y @ X ) )
                                                                    | ! [X: $i] :
                                                                        ( ~ ! [Y: $i] :
                                                                              ( ~ ( ( ( p14 @ Y )
                                                                                    & ~ ( p13 @ Y ) )
                                                                                  | ( ~ ( p14 @ Y )
                                                                                    & ( p13 @ Y ) ) )
                                                                              | ~ ( r1 @ X @ Y ) )
                                                                        | ! [Y: $i] :
                                                                            ( ~ ! [X: $i] :
                                                                                  ( ~ ( ( ( p15 @ X )
                                                                                        & ~ ( p14 @ X ) )
                                                                                      | ( ~ ( p15 @ X )
                                                                                        & ( p14 @ X ) ) )
                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                            | ! [X: $i] :
                                                                                ( ~ ! [Y: $i] :
                                                                                      ( ~ ( ( ( p16 @ Y )
                                                                                            & ~ ( p15 @ Y ) )
                                                                                          | ( ~ ( p16 @ Y )
                                                                                            & ( p15 @ Y ) ) )
                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                | ! [Y: $i] :
                                                                                    ( ~ ! [X: $i] :
                                                                                          ( ~ ( ( ( p17 @ X )
                                                                                                & ~ ( p16 @ X ) )
                                                                                              | ( ~ ( p17 @ X )
                                                                                                & ( p16 @ X ) ) )
                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                    | ! [X: $i] :
                                                                                        ( ~ ! [Y: $i] :
                                                                                              ( ~ ( ( ( p18 @ Y )
                                                                                                    & ~ ( p17 @ Y ) )
                                                                                                  | ( ~ ( p18 @ Y )
                                                                                                    & ( p17 @ Y ) ) )
                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                        | ! [Y: $i] :
                                                                                            ( ~ ! [X: $i] :
                                                                                                  ( ~ ( ( ( p19 @ X )
                                                                                                        & ~ ( p18 @ X ) )
                                                                                                      | ( ~ ( p19 @ X )
                                                                                                        & ( p18 @ X ) ) )
                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                            | ! [X: $i] :
                                                                                                ( ~ ! [Y: $i] :
                                                                                                      ( ~ ( ( ( p20 @ Y )
                                                                                                            & ~ ( p19 @ Y ) )
                                                                                                          | ( ~ ( p20 @ Y )
                                                                                                            & ( p19 @ Y ) ) )
                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                | ! [Y: $i] :
                                                                                                    ( ~ ! [X: $i] :
                                                                                                          ( ~ ( ( ( p21 @ X )
                                                                                                                & ~ ( p20 @ X ) )
                                                                                                              | ( ~ ( p21 @ X )
                                                                                                                & ( p20 @ X ) ) )
                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                    | ! [X: $i] :
                                                                                                        ( ~ ! [Y: $i] :
                                                                                                              ( ~ ( ( ( p22 @ Y )
                                                                                                                    & ~ ( p21 @ Y ) )
                                                                                                                  | ( ~ ( p22 @ Y )
                                                                                                                    & ( p21 @ Y ) ) )
                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                        | ! [Y: $i] :
                                                                                                            ( ~ ! [X: $i] :
                                                                                                                  ( ~ ( ( ( p23 @ X )
                                                                                                                        & ~ ( p22 @ X ) )
                                                                                                                      | ( ~ ( p23 @ X )
                                                                                                                        & ( p22 @ X ) ) )
                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                            | ! [X: $i] :
                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                      ( ~ ( ( ( p24 @ Y )
                                                                                                                            & ~ ( p23 @ Y ) )
                                                                                                                          | ( ~ ( p24 @ Y )
                                                                                                                            & ( p23 @ Y ) ) )
                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                | ! [Y: $i] :
                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                          ( ~ ( ( ( p25 @ X )
                                                                                                                                & ~ ( p24 @ X ) )
                                                                                                                              | ( ~ ( p25 @ X )
                                                                                                                                & ( p24 @ X ) ) )
                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                    | ! [X: $i] :
                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                              ( ~ ( ( ( p26 @ Y )
                                                                                                                                    & ~ ( p25 @ Y ) )
                                                                                                                                  | ( ~ ( p26 @ Y )
                                                                                                                                    & ( p25 @ Y ) ) )
                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                        | ! [Y: $i] :
                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                  ( ~ ( ( ( p27 @ X )
                                                                                                                                        & ~ ( p26 @ X ) )
                                                                                                                                      | ( ~ ( p27 @ X )
                                                                                                                                        & ( p26 @ X ) ) )
                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                            | ! [X: $i] :
                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                      ( ~ ( ( ( p28 @ Y )
                                                                                                                                            & ~ ( p27 @ Y ) )
                                                                                                                                          | ( ~ ( p28 @ Y )
                                                                                                                                            & ( p27 @ Y ) ) )
                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                | ! [Y: $i] :
                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                          ( ~ ( ( ( p29 @ X )
                                                                                                                                                & ~ ( p28 @ X ) )
                                                                                                                                              | ( ~ ( p29 @ X )
                                                                                                                                                & ( p28 @ X ) ) )
                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                    | ! [X: $i] :
                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                              ( ~ ( ( ( p30 @ Y )
                                                                                                                                                    & ~ ( p29 @ Y ) )
                                                                                                                                                  | ( ~ ( p30 @ Y )
                                                                                                                                                    & ( p29 @ Y ) ) )
                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                        | ! [Y: $i] :
                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                  ( ~ ( ( ( p31 @ X )
                                                                                                                                                        & ~ ( p30 @ X ) )
                                                                                                                                                      | ( ~ ( p31 @ X )
                                                                                                                                                        & ( p30 @ X ) ) )
                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                            | ! [X: $i] :
                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                      ( ~ ( ( ( p32 @ Y )
                                                                                                                                                            & ~ ( p31 @ Y ) )
                                                                                                                                                          | ( ~ ( p32 @ Y )
                                                                                                                                                            & ( p31 @ Y ) ) )
                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                          ( ~ ( ( ( p33 @ X )
                                                                                                                                                                & ~ ( p32 @ X ) )
                                                                                                                                                              | ( ~ ( p33 @ X )
                                                                                                                                                                & ( p32 @ X ) ) )
                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                              ( ~ ( ( ( p34 @ Y )
                                                                                                                                                                    & ~ ( p33 @ Y ) )
                                                                                                                                                                  | ( ~ ( p34 @ Y )
                                                                                                                                                                    & ( p33 @ Y ) ) )
                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                  ( ~ ( ( ( p35 @ X )
                                                                                                                                                                        & ~ ( p34 @ X ) )
                                                                                                                                                                      | ( ~ ( p35 @ X )
                                                                                                                                                                        & ( p34 @ X ) ) )
                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                                      ( ~ ( ( ( p36 @ Y )
                                                                                                                                                                            & ~ ( p35 @ Y ) )
                                                                                                                                                                          | ( ~ ( p36 @ Y )
                                                                                                                                                                            & ( p35 @ Y ) ) )
                                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                                          ( ~ ( ( ( p37 @ X )
                                                                                                                                                                                & ~ ( p36 @ X ) )
                                                                                                                                                                              | ( ~ ( p37 @ X )
                                                                                                                                                                                & ( p36 @ X ) ) )
                                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                                              ( ~ ( ( ( p38 @ Y )
                                                                                                                                                                                    & ~ ( p37 @ Y ) )
                                                                                                                                                                                  | ( ~ ( p38 @ Y )
                                                                                                                                                                                    & ( p37 @ Y ) ) )
                                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                                  ( ~ ( ( ( p39 @ X )
                                                                                                                                                                                        & ~ ( p38 @ X ) )
                                                                                                                                                                                      | ( ~ ( p39 @ X )
                                                                                                                                                                                        & ( p38 @ X ) ) )
                                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                                                      ( ~ ( ( ( p40 @ Y )
                                                                                                                                                                                            & ~ ( p39 @ Y ) )
                                                                                                                                                                                          | ( ~ ( p40 @ Y )
                                                                                                                                                                                            & ( p39 @ Y ) ) )
                                                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                                                          ( ~ ( ( ( p41 @ X )
                                                                                                                                                                                                & ~ ( p40 @ X ) )
                                                                                                                                                                                              | ( ~ ( p41 @ X )
                                                                                                                                                                                                & ( p40 @ X ) ) )
                                                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                                                              ( ~ ( ( ( p42 @ Y )
                                                                                                                                                                                                    & ~ ( p41 @ Y ) )
                                                                                                                                                                                                  | ( ~ ( p42 @ Y )
                                                                                                                                                                                                    & ( p41 @ Y ) ) )
                                                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                                                  ( ~ ( ( ( p43 @ X )
                                                                                                                                                                                                        & ~ ( p42 @ X ) )
                                                                                                                                                                                                      | ( ~ ( p43 @ X )
                                                                                                                                                                                                        & ( p42 @ X ) ) )
                                                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                                                                      ( ~ ( ( ( p44 @ Y )
                                                                                                                                                                                                            & ~ ( p43 @ Y ) )
                                                                                                                                                                                                          | ( ~ ( p44 @ Y )
                                                                                                                                                                                                            & ( p43 @ Y ) ) )
                                                                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                                                                          ( ~ ( ( ( p45 @ X )
                                                                                                                                                                                                                & ~ ( p44 @ X ) )
                                                                                                                                                                                                              | ( ~ ( p45 @ X )
                                                                                                                                                                                                                & ( p44 @ X ) ) )
                                                                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                                                                              ( ~ ( ( ( p46 @ Y )
                                                                                                                                                                                                                    & ~ ( p45 @ Y ) )
                                                                                                                                                                                                                  | ( ~ ( p46 @ Y )
                                                                                                                                                                                                                    & ( p45 @ Y ) ) )
                                                                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                                                                  ( ~ ( ( ( p47 @ X )
                                                                                                                                                                                                                        & ~ ( p46 @ X ) )
                                                                                                                                                                                                                      | ( ~ ( p47 @ X )
                                                                                                                                                                                                                        & ( p46 @ X ) ) )
                                                                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                                                                                      ( ~ ( ( ( p48 @ Y )
                                                                                                                                                                                                                            & ~ ( p47 @ Y ) )
                                                                                                                                                                                                                          | ( ~ ( p48 @ Y )
                                                                                                                                                                                                                            & ( p47 @ Y ) ) )
                                                                                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                                                                                          ( ~ ( ( ( p49 @ X )
                                                                                                                                                                                                                                & ~ ( p48 @ X ) )
                                                                                                                                                                                                                              | ( ~ ( p49 @ X )
                                                                                                                                                                                                                                & ( p48 @ X ) ) )
                                                                                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                                                                                              ( ~ ( ( ( p50 @ Y )
                                                                                                                                                                                                                                    & ~ ( p49 @ Y ) )
                                                                                                                                                                                                                                  | ( ~ ( p50 @ Y )
                                                                                                                                                                                                                                    & ( p49 @ Y ) ) )
                                                                                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                                                                                  ( ~ ( ( ( p51 @ X )
                                                                                                                                                                                                                                        & ~ ( p50 @ X ) )
                                                                                                                                                                                                                                      | ( ~ ( p51 @ X )
                                                                                                                                                                                                                                        & ( p50 @ X ) ) )
                                                                                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                                                                                                      ( ~ ( ( ( p52 @ Y )
                                                                                                                                                                                                                                            & ~ ( p51 @ Y ) )
                                                                                                                                                                                                                                          | ( ~ ( p52 @ Y )
                                                                                                                                                                                                                                            & ( p51 @ Y ) ) )
                                                                                                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                                                                                                          ( ~ ( ( ( p53 @ X )
                                                                                                                                                                                                                                                & ~ ( p52 @ X ) )
                                                                                                                                                                                                                                              | ( ~ ( p53 @ X )
                                                                                                                                                                                                                                                & ( p52 @ X ) ) )
                                                                                                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                                                                                                              ( ~ ( ( ( p54 @ Y )
                                                                                                                                                                                                                                                    & ~ ( p53 @ Y ) )
                                                                                                                                                                                                                                                  | ( ~ ( p54 @ Y )
                                                                                                                                                                                                                                                    & ( p53 @ Y ) ) )
                                                                                                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                                                                                                  ( ~ ( ( ( p55 @ X )
                                                                                                                                                                                                                                                        & ~ ( p54 @ X ) )
                                                                                                                                                                                                                                                      | ( ~ ( p55 @ X )
                                                                                                                                                                                                                                                        & ( p54 @ X ) ) )
                                                                                                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                                                                                                ( ~ ! [Y: $i] :
                                                                                                                                                                                                                                                      ( ~ ( ( ( p56 @ Y )
                                                                                                                                                                                                                                                            & ~ ( p55 @ Y ) )
                                                                                                                                                                                                                                                          | ( ~ ( p56 @ Y )
                                                                                                                                                                                                                                                            & ( p55 @ Y ) ) )
                                                                                                                                                                                                                                                      | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                                | ! [Y: $i] :
                                                                                                                                                                                                                                                    ( ~ ! [X: $i] :
                                                                                                                                                                                                                                                          ( ~ ( ( ( p57 @ X )
                                                                                                                                                                                                                                                                & ~ ( p56 @ X ) )
                                                                                                                                                                                                                                                              | ( ~ ( p57 @ X )
                                                                                                                                                                                                                                                                & ( p56 @ X ) ) )
                                                                                                                                                                                                                                                          | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                                    | ! [X: $i] :
                                                                                                                                                                                                                                                        ( ~ ! [Y: $i] :
                                                                                                                                                                                                                                                              ( ~ ( ( ( p58 @ Y )
                                                                                                                                                                                                                                                                    & ~ ( p57 @ Y ) )
                                                                                                                                                                                                                                                                  | ( ~ ( p58 @ Y )
                                                                                                                                                                                                                                                                    & ( p57 @ Y ) ) )
                                                                                                                                                                                                                                                              | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                                        | ! [Y: $i] :
                                                                                                                                                                                                                                                            ( ~ ! [X: $i] :
                                                                                                                                                                                                                                                                  ( ~ ( ( ( p59 @ X )
                                                                                                                                                                                                                                                                        & ~ ( p58 @ X ) )
                                                                                                                                                                                                                                                                      | ( ~ ( p59 @ X )
                                                                                                                                                                                                                                                                        & ( p58 @ X ) ) )
                                                                                                                                                                                                                                                                  | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                                            | ! [X: $i] :
                                                                                                                                                                                                                                                                ~ ( r1 @ Y @ X )
                                                                                                                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                | ~ ( r1 @ Y @ X ) )
                                                                            | ~ ( r1 @ X @ Y ) )
                                                                        | ~ ( r1 @ Y @ X ) )
                                                                    | ~ ( r1 @ X @ Y ) )
                                                                | ~ ( r1 @ Y @ X ) )
                                                            | ~ ( r1 @ X @ Y ) )
                                                        | ~ ( r1 @ Y @ X ) )
                                                    | ~ ( r1 @ X @ Y ) )
                                                | ~ ( r1 @ Y @ X ) )
                                            | ~ ( r1 @ X @ Y ) )
                                        | ~ ( r1 @ Y @ X ) )
                                    | ~ ( r1 @ X @ Y ) )
                                | ~ ( r1 @ Y @ X ) )
                            | ~ ( r1 @ X @ Y ) )
                        | ~ ! [Y: $i] :
                              ( ~ ( ( ( p2 @ Y )
                                    & ~ ( p1 @ Y ) )
                                  | ( ~ ( p2 @ Y )
                                    & ( p1 @ Y ) ) )
                              | ~ ( r1 @ X @ Y ) )
                        | ! [Y: $i] :
                            ( ( p60 @ Y )
                            | ~ ( r1 @ X @ Y ) )
                        | ! [Y: $i] :
                            ( ( ( p1 @ Y )
                              & ( p2 @ Y ) )
                            | ( ~ ( p2 @ Y )
                              & ~ ( p1 @ Y ) )
                            | ( ( p2 @ Y )
                              & ( p3 @ Y ) )
                            | ( ~ ( p3 @ Y )
                              & ~ ( p2 @ Y ) )
                            | ( ( p3 @ Y )
                              & ( p4 @ Y ) )
                            | ( ~ ( p4 @ Y )
                              & ~ ( p3 @ Y ) )
                            | ( ( p4 @ Y )
                              & ( p5 @ Y ) )
                            | ( ~ ( p5 @ Y )
                              & ~ ( p4 @ Y ) )
                            | ( ( p5 @ Y )
                              & ( p6 @ Y ) )
                            | ( ~ ( p6 @ Y )
                              & ~ ( p5 @ Y ) )
                            | ( ( p6 @ Y )
                              & ( p7 @ Y ) )
                            | ( ~ ( p7 @ Y )
                              & ~ ( p6 @ Y ) )
                            | ( ( p7 @ Y )
                              & ( p8 @ Y ) )
                            | ( ~ ( p8 @ Y )
                              & ~ ( p7 @ Y ) )
                            | ( ( p8 @ Y )
                              & ( p9 @ Y ) )
                            | ( ~ ( p9 @ Y )
                              & ~ ( p8 @ Y ) )
                            | ( ( p9 @ Y )
                              & ( p10 @ Y ) )
                            | ( ~ ( p10 @ Y )
                              & ~ ( p9 @ Y ) )
                            | ( ( p10 @ Y )
                              & ( p11 @ Y ) )
                            | ( ~ ( p11 @ Y )
                              & ~ ( p10 @ Y ) )
                            | ( ( p11 @ Y )
                              & ( p12 @ Y ) )
                            | ( ~ ( p12 @ Y )
                              & ~ ( p11 @ Y ) )
                            | ( ( p12 @ Y )
                              & ( p13 @ Y ) )
                            | ( ~ ( p13 @ Y )
                              & ~ ( p12 @ Y ) )
                            | ( ( p13 @ Y )
                              & ( p14 @ Y ) )
                            | ( ~ ( p14 @ Y )
                              & ~ ( p13 @ Y ) )
                            | ( ( p14 @ Y )
                              & ( p15 @ Y ) )
                            | ( ~ ( p15 @ Y )
                              & ~ ( p14 @ Y ) )
                            | ( ( p15 @ Y )
                              & ( p16 @ Y ) )
                            | ( ~ ( p16 @ Y )
                              & ~ ( p15 @ Y ) )
                            | ( ( p16 @ Y )
                              & ( p17 @ Y ) )
                            | ( ~ ( p17 @ Y )
                              & ~ ( p16 @ Y ) )
                            | ( ( p17 @ Y )
                              & ( p18 @ Y ) )
                            | ( ~ ( p18 @ Y )
                              & ~ ( p17 @ Y ) )
                            | ( ( p18 @ Y )
                              & ( p19 @ Y ) )
                            | ( ~ ( p19 @ Y )
                              & ~ ( p18 @ Y ) )
                            | ( ( p19 @ Y )
                              & ( p20 @ Y ) )
                            | ( ~ ( p20 @ Y )
                              & ~ ( p19 @ Y ) )
                            | ( ( p20 @ Y )
                              & ( p21 @ Y ) )
                            | ( ~ ( p21 @ Y )
                              & ~ ( p20 @ Y ) )
                            | ( ( p21 @ Y )
                              & ( p22 @ Y ) )
                            | ( ~ ( p22 @ Y )
                              & ~ ( p21 @ Y ) )
                            | ( ( p22 @ Y )
                              & ( p23 @ Y ) )
                            | ( ~ ( p23 @ Y )
                              & ~ ( p22 @ Y ) )
                            | ( ( p23 @ Y )
                              & ( p24 @ Y ) )
                            | ( ~ ( p24 @ Y )
                              & ~ ( p23 @ Y ) )
                            | ( ( p24 @ Y )
                              & ( p25 @ Y ) )
                            | ( ~ ( p25 @ Y )
                              & ~ ( p24 @ Y ) )
                            | ( ( p25 @ Y )
                              & ( p26 @ Y ) )
                            | ( ~ ( p26 @ Y )
                              & ~ ( p25 @ Y ) )
                            | ( ( p26 @ Y )
                              & ( p27 @ Y ) )
                            | ( ~ ( p27 @ Y )
                              & ~ ( p26 @ Y ) )
                            | ( ( p27 @ Y )
                              & ( p28 @ Y ) )
                            | ( ~ ( p28 @ Y )
                              & ~ ( p27 @ Y ) )
                            | ( ( p28 @ Y )
                              & ( p29 @ Y ) )
                            | ( ~ ( p29 @ Y )
                              & ~ ( p28 @ Y ) )
                            | ( ( p29 @ Y )
                              & ( p30 @ Y ) )
                            | ( ~ ( p30 @ Y )
                              & ~ ( p29 @ Y ) )
                            | ( ( p30 @ Y )
                              & ( p31 @ Y ) )
                            | ( ~ ( p31 @ Y )
                              & ~ ( p30 @ Y ) )
                            | ( ( p31 @ Y )
                              & ( p32 @ Y ) )
                            | ( ~ ( p32 @ Y )
                              & ~ ( p31 @ Y ) )
                            | ( ( p32 @ Y )
                              & ( p33 @ Y ) )
                            | ( ~ ( p33 @ Y )
                              & ~ ( p32 @ Y ) )
                            | ( ( p33 @ Y )
                              & ( p34 @ Y ) )
                            | ( ~ ( p34 @ Y )
                              & ~ ( p33 @ Y ) )
                            | ( ( p34 @ Y )
                              & ( p35 @ Y ) )
                            | ( ~ ( p35 @ Y )
                              & ~ ( p34 @ Y ) )
                            | ( ( p35 @ Y )
                              & ( p36 @ Y ) )
                            | ( ~ ( p36 @ Y )
                              & ~ ( p35 @ Y ) )
                            | ( ( p36 @ Y )
                              & ( p37 @ Y ) )
                            | ( ~ ( p37 @ Y )
                              & ~ ( p36 @ Y ) )
                            | ( ( p37 @ Y )
                              & ( p38 @ Y ) )
                            | ( ~ ( p38 @ Y )
                              & ~ ( p37 @ Y ) )
                            | ( ( p38 @ Y )
                              & ( p39 @ Y ) )
                            | ( ~ ( p39 @ Y )
                              & ~ ( p38 @ Y ) )
                            | ( ( p39 @ Y )
                              & ( p40 @ Y ) )
                            | ( ~ ( p40 @ Y )
                              & ~ ( p39 @ Y ) )
                            | ( ( p40 @ Y )
                              & ( p41 @ Y ) )
                            | ( ~ ( p41 @ Y )
                              & ~ ( p40 @ Y ) )
                            | ( ( p41 @ Y )
                              & ( p42 @ Y ) )
                            | ( ~ ( p42 @ Y )
                              & ~ ( p41 @ Y ) )
                            | ( ( p42 @ Y )
                              & ( p43 @ Y ) )
                            | ( ~ ( p43 @ Y )
                              & ~ ( p42 @ Y ) )
                            | ( ( p43 @ Y )
                              & ( p44 @ Y ) )
                            | ( ~ ( p44 @ Y )
                              & ~ ( p43 @ Y ) )
                            | ( ( p44 @ Y )
                              & ( p45 @ Y ) )
                            | ( ~ ( p45 @ Y )
                              & ~ ( p44 @ Y ) )
                            | ( ( p45 @ Y )
                              & ( p46 @ Y ) )
                            | ( ~ ( p46 @ Y )
                              & ~ ( p45 @ Y ) )
                            | ( ( p46 @ Y )
                              & ( p47 @ Y ) )
                            | ( ~ ( p47 @ Y )
                              & ~ ( p46 @ Y ) )
                            | ( ( p47 @ Y )
                              & ( p48 @ Y ) )
                            | ( ~ ( p48 @ Y )
                              & ~ ( p47 @ Y ) )
                            | ( ( p48 @ Y )
                              & ( p49 @ Y ) )
                            | ( ~ ( p49 @ Y )
                              & ~ ( p48 @ Y ) )
                            | ( ( p49 @ Y )
                              & ( p50 @ Y ) )
                            | ( ~ ( p50 @ Y )
                              & ~ ( p49 @ Y ) )
                            | ( ( p50 @ Y )
                              & ( p51 @ Y ) )
                            | ( ~ ( p51 @ Y )
                              & ~ ( p50 @ Y ) )
                            | ( ( p51 @ Y )
                              & ( p52 @ Y ) )
                            | ( ~ ( p52 @ Y )
                              & ~ ( p51 @ Y ) )
                            | ( ( p52 @ Y )
                              & ( p53 @ Y ) )
                            | ( ~ ( p53 @ Y )
                              & ~ ( p52 @ Y ) )
                            | ( ( p53 @ Y )
                              & ( p54 @ Y ) )
                            | ( ~ ( p54 @ Y )
                              & ~ ( p53 @ Y ) )
                            | ( ( p54 @ Y )
                              & ( p55 @ Y ) )
                            | ( ~ ( p55 @ Y )
                              & ~ ( p54 @ Y ) )
                            | ( ( p55 @ Y )
                              & ( p56 @ Y ) )
                            | ( ~ ( p56 @ Y )
                              & ~ ( p55 @ Y ) )
                            | ( ( p56 @ Y )
                              & ( p57 @ Y ) )
                            | ( ~ ( p57 @ Y )
                              & ~ ( p56 @ Y ) )
                            | ( ( p57 @ Y )
                              & ( p58 @ Y ) )
                            | ( ~ ( p58 @ Y )
                              & ~ ( p57 @ Y ) )
                            | ( ( p58 @ Y )
                              & ( p59 @ Y ) )
                            | ( ~ ( p59 @ Y )
                              & ~ ( p58 @ Y ) )
                            | ~ ( r1 @ X @ Y ) ) )
                    | ~ ( r1 @ Y @ X ) )
              | ~ ( r1 @ X @ Y ) ) ) ).

thf(zf_stmt_0,negated_conjecture,
    ? [X: $i] :
      ~ ( ! [Y: $i] :
            ( ! [X: $i] :
                ( ~ ( p1 @ X )
                | ~ ( r1 @ Y @ X ) )
            | ~ ( p60 @ Y )
            | ~ ( r1 @ X @ Y ) )
        | ! [Y: $i] :
            ( ~ ! [X: $i] :
                  ( ~ ( ! [Y: $i] :
                          ( ~ ! [X: $i] :
                                ( ~ ( ( ( p3 @ X )
                                      & ~ ( p2 @ X ) )
                                    | ( ~ ( p3 @ X )
                                      & ( p2 @ X ) ) )
                                | ~ ( r1 @ Y @ X ) )
                          | ! [X: $i] :
                              ( ~ ! [Y: $i] :
                                    ( ~ ( ( ( p4 @ Y )
                                          & ~ ( p3 @ Y ) )
                                        | ( ~ ( p4 @ Y )
                                          & ( p3 @ Y ) ) )
                                    | ~ ( r1 @ X @ Y ) )
                              | ! [Y: $i] :
                                  ( ~ ! [X: $i] :
                                        ( ~ ( ( ( p5 @ X )
                                              & ~ ( p4 @ X ) )
                                            | ( ~ ( p5 @ X )
                                              & ( p4 @ X ) ) )
                                        | ~ ( r1 @ Y @ X ) )
                                  | ! [X: $i] :
                                      ( ~ ! [Y: $i] :
                                            ( ~ ( ( ( p6 @ Y )
                                                  & ~ ( p5 @ Y ) )
                                                | ( ~ ( p6 @ Y )
                                                  & ( p5 @ Y ) ) )
                                            | ~ ( r1 @ X @ Y ) )
                                      | ! [Y: $i] :
                                          ( ~ ! [X: $i] :
                                                ( ~ ( ( ( p7 @ X )
                                                      & ~ ( p6 @ X ) )
                                                    | ( ~ ( p7 @ X )
                                                      & ( p6 @ X ) ) )
                                                | ~ ( r1 @ Y @ X ) )
                                          | ! [X: $i] :
                                              ( ~ ! [Y: $i] :
                                                    ( ~ ( ( ( p8 @ Y )
                                                          & ~ ( p7 @ Y ) )
                                                        | ( ~ ( p8 @ Y )
                                                          & ( p7 @ Y ) ) )
                                                    | ~ ( r1 @ X @ Y ) )
                                              | ! [Y: $i] :
                                                  ( ~ ! [X: $i] :
                                                        ( ~ ( ( ( p9 @ X )
                                                              & ~ ( p8 @ X ) )
                                                            | ( ~ ( p9 @ X )
                                                              & ( p8 @ X ) ) )
                                                        | ~ ( r1 @ Y @ X ) )
                                                  | ! [X: $i] :
                                                      ( ~ ! [Y: $i] :
                                                            ( ~ ( ( ( p10 @ Y )
                                                                  & ~ ( p9 @ Y ) )
                                                                | ( ~ ( p10 @ Y )
                                                                  & ( p9 @ Y ) ) )
                                                            | ~ ( r1 @ X @ Y ) )
                                                      | ! [Y: $i] :
                                                          ( ~ ! [X: $i] :
                                                                ( ~ ( ( ( p11 @ X )
                                                                      & ~ ( p10 @ X ) )
                                                                    | ( ~ ( p11 @ X )
                                                                      & ( p10 @ X ) ) )
                                                                | ~ ( r1 @ Y @ X ) )
                                                          | ! [X: $i] :
                                                              ( ~ ! [Y: $i] :
                                                                    ( ~ ( ( ( p12 @ Y )
                                                                          & ~ ( p11 @ Y ) )
                                                                        | ( ~ ( p12 @ Y )
                                                                          & ( p11 @ Y ) ) )
                                                                    | ~ ( r1 @ X @ Y ) )
                                                              | ! [Y: $i] :
                                                                  ( ~ ! [X: $i] :
                                                                        ( ~ ( ( ( p13 @ X )
                                                                              & ~ ( p12 @ X ) )
                                                                            | ( ~ ( p13 @ X )
                                                                              & ( p12 @ X ) ) )
                                                                        | ~ ( r1 @ Y @ X ) )
                                                                  | ! [X: $i] :
                                                                      ( ~ ! [Y: $i] :
                                                                            ( ~ ( ( ( p14 @ Y )
                                                                                  & ~ ( p13 @ Y ) )
                                                                                | ( ~ ( p14 @ Y )
                                                                                  & ( p13 @ Y ) ) )
                                                                            | ~ ( r1 @ X @ Y ) )
                                                                      | ! [Y: $i] :
                                                                          ( ~ ! [X: $i] :
                                                                                ( ~ ( ( ( p15 @ X )
                                                                                      & ~ ( p14 @ X ) )
                                                                                    | ( ~ ( p15 @ X )
                                                                                      & ( p14 @ X ) ) )
                                                                                | ~ ( r1 @ Y @ X ) )
                                                                          | ! [X: $i] :
                                                                              ( ~ ! [Y: $i] :
                                                                                    ( ~ ( ( ( p16 @ Y )
                                                                                          & ~ ( p15 @ Y ) )
                                                                                        | ( ~ ( p16 @ Y )
                                                                                          & ( p15 @ Y ) ) )
                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                              | ! [Y: $i] :
                                                                                  ( ~ ! [X: $i] :
                                                                                        ( ~ ( ( ( p17 @ X )
                                                                                              & ~ ( p16 @ X ) )
                                                                                            | ( ~ ( p17 @ X )
                                                                                              & ( p16 @ X ) ) )
                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                  | ! [X: $i] :
                                                                                      ( ~ ! [Y: $i] :
                                                                                            ( ~ ( ( ( p18 @ Y )
                                                                                                  & ~ ( p17 @ Y ) )
                                                                                                | ( ~ ( p18 @ Y )
                                                                                                  & ( p17 @ Y ) ) )
                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                      | ! [Y: $i] :
                                                                                          ( ~ ! [X: $i] :
                                                                                                ( ~ ( ( ( p19 @ X )
                                                                                                      & ~ ( p18 @ X ) )
                                                                                                    | ( ~ ( p19 @ X )
                                                                                                      & ( p18 @ X ) ) )
                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                          | ! [X: $i] :
                                                                                              ( ~ ! [Y: $i] :
                                                                                                    ( ~ ( ( ( p20 @ Y )
                                                                                                          & ~ ( p19 @ Y ) )
                                                                                                        | ( ~ ( p20 @ Y )
                                                                                                          & ( p19 @ Y ) ) )
                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                              | ! [Y: $i] :
                                                                                                  ( ~ ! [X: $i] :
                                                                                                        ( ~ ( ( ( p21 @ X )
                                                                                                              & ~ ( p20 @ X ) )
                                                                                                            | ( ~ ( p21 @ X )
                                                                                                              & ( p20 @ X ) ) )
                                                                                                        | ~ ( r1 @ Y @ X ) )
                                                                                                  | ! [X: $i] :
                                                                                                      ( ~ ! [Y: $i] :
                                                                                                            ( ~ ( ( ( p22 @ Y )
                                                                                                                  & ~ ( p21 @ Y ) )
                                                                                                                | ( ~ ( p22 @ Y )
                                                                                                                  & ( p21 @ Y ) ) )
                                                                                                            | ~ ( r1 @ X @ Y ) )
                                                                                                      | ! [Y: $i] :
                                                                                                          ( ~ ! [X: $i] :
                                                                                                                ( ~ ( ( ( p23 @ X )
                                                                                                                      & ~ ( p22 @ X ) )
                                                                                                                    | ( ~ ( p23 @ X )
                                                                                                                      & ( p22 @ X ) ) )
                                                                                                                | ~ ( r1 @ Y @ X ) )
                                                                                                          | ! [X: $i] :
                                                                                                              ( ~ ! [Y: $i] :
                                                                                                                    ( ~ ( ( ( p24 @ Y )
                                                                                                                          & ~ ( p23 @ Y ) )
                                                                                                                        | ( ~ ( p24 @ Y )
                                                                                                                          & ( p23 @ Y ) ) )
                                                                                                                    | ~ ( r1 @ X @ Y ) )
                                                                                                              | ! [Y: $i] :
                                                                                                                  ( ~ ! [X: $i] :
                                                                                                                        ( ~ ( ( ( p25 @ X )
                                                                                                                              & ~ ( p24 @ X ) )
                                                                                                                            | ( ~ ( p25 @ X )
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                                                                                                                                | ~ ( r1 @ Y @ X ) )
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                            & ( p43 @ Y ) )
                          | ( ~ ( p43 @ Y )
                            & ~ ( p42 @ Y ) )
                          | ( ( p43 @ Y )
                            & ( p44 @ Y ) )
                          | ( ~ ( p44 @ Y )
                            & ~ ( p43 @ Y ) )
                          | ( ( p44 @ Y )
                            & ( p45 @ Y ) )
                          | ( ~ ( p45 @ Y )
                            & ~ ( p44 @ Y ) )
                          | ( ( p45 @ Y )
                            & ( p46 @ Y ) )
                          | ( ~ ( p46 @ Y )
                            & ~ ( p45 @ Y ) )
                          | ( ( p46 @ Y )
                            & ( p47 @ Y ) )
                          | ( ~ ( p47 @ Y )
                            & ~ ( p46 @ Y ) )
                          | ( ( p47 @ Y )
                            & ( p48 @ Y ) )
                          | ( ~ ( p48 @ Y )
                            & ~ ( p47 @ Y ) )
                          | ( ( p48 @ Y )
                            & ( p49 @ Y ) )
                          | ( ~ ( p49 @ Y )
                            & ~ ( p48 @ Y ) )
                          | ( ( p49 @ Y )
                            & ( p50 @ Y ) )
                          | ( ~ ( p50 @ Y )
                            & ~ ( p49 @ Y ) )
                          | ( ( p50 @ Y )
                            & ( p51 @ Y ) )
                          | ( ~ ( p51 @ Y )
                            & ~ ( p50 @ Y ) )
                          | ( ( p51 @ Y )
                            & ( p52 @ Y ) )
                          | ( ~ ( p52 @ Y )
                            & ~ ( p51 @ Y ) )
                          | ( ( p52 @ Y )
                            & ( p53 @ Y ) )
                          | ( ~ ( p53 @ Y )
                            & ~ ( p52 @ Y ) )
                          | ( ( p53 @ Y )
                            & ( p54 @ Y ) )
                          | ( ~ ( p54 @ Y )
                            & ~ ( p53 @ Y ) )
                          | ( ( p54 @ Y )
                            & ( p55 @ Y ) )
                          | ( ~ ( p55 @ Y )
                            & ~ ( p54 @ Y ) )
                          | ( ( p55 @ Y )
                            & ( p56 @ Y ) )
                          | ( ~ ( p56 @ Y )
                            & ~ ( p55 @ Y ) )
                          | ( ( p56 @ Y )
                            & ( p57 @ Y ) )
                          | ( ~ ( p57 @ Y )
                            & ~ ( p56 @ Y ) )
                          | ( ( p57 @ Y )
                            & ( p58 @ Y ) )
                          | ( ~ ( p58 @ Y )
                            & ~ ( p57 @ Y ) )
                          | ( ( p58 @ Y )
                            & ( p59 @ Y ) )
                          | ( ~ ( p59 @ Y )
                            & ~ ( p58 @ Y ) )
                          | ~ ( r1 @ X @ Y ) ) )
                  | ~ ( r1 @ Y @ X ) )
            | ~ ( r1 @ X @ Y ) ) ),
    inference('cnf.neg',[status(esa)],[main]) ).

thf(zip_derived_cl178,plain,
    ! [X0: $i] :
      ( ( r1 @ X0 @ ( sk__63 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl791,plain,
    r1 @ sk__3 @ ( sk__63 @ sk__3 ),
    inference('sup-',[status(thm)],[zip_derived_cl0,zip_derived_cl178]) ).

thf(zip_derived_cl293,plain,
    ! [X0: $i] :
      ( ( p1 @ ( sk__63 @ X0 ) )
      | ( p2 @ ( sk__63 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl174,plain,
    ! [X0: $i,X58: $i] :
      ( ~ ( r1 @ X0 @ X58 )
      | ( p2 @ X58 )
      | ~ ( p1 @ X58 )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl306,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X1 )
      | ( p2 @ ( sk__63 @ X1 ) )
      | ~ ( r1 @ sk__3 @ X0 )
      | ( p2 @ ( sk__63 @ X1 ) )
      | ~ ( r1 @ X0 @ ( sk__63 @ X1 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl293,zip_derived_cl174]) ).

thf(zip_derived_cl2994,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ X0 @ ( sk__63 @ X1 ) )
      | ~ ( r1 @ sk__3 @ X0 )
      | ( p2 @ ( sk__63 @ X1 ) )
      | ~ ( r1 @ sk__3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl306]) ).

thf(zip_derived_cl175,plain,
    ! [X0: $i,X58: $i] :
      ( ~ ( r1 @ X0 @ X58 )
      | ~ ( p2 @ X58 )
      | ( p1 @ X58 )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl294,plain,
    ! [X0: $i] :
      ( ~ ( p2 @ ( sk__63 @ X0 ) )
      | ~ ( p1 @ ( sk__63 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 ) ),
    inference(cnf,[status(esa)],[zf_stmt_0]) ).

thf(zip_derived_cl305,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X1 )
      | ~ ( p2 @ ( sk__63 @ X0 ) )
      | ~ ( r1 @ X1 @ ( sk__63 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X0 )
      | ~ ( p2 @ ( sk__63 @ X0 ) ) ),
    inference('dp-resolution',[status(thm)],[zip_derived_cl175,zip_derived_cl294]) ).

thf(zip_derived_cl2969,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X0 )
      | ~ ( r1 @ X1 @ ( sk__63 @ X0 ) )
      | ~ ( p2 @ ( sk__63 @ X0 ) )
      | ~ ( r1 @ sk__3 @ X1 ) ),
    inference(simplify,[status(thm)],[zip_derived_cl305]) ).

thf(zip_derived_cl2995,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ( r1 @ sk__3 @ X1 )
      | ~ ( r1 @ sk__3 @ X0 )
      | ~ ( r1 @ X0 @ ( sk__63 @ X1 ) ) ),
    inference(clc,[status(thm)],[zip_derived_cl2994,zip_derived_cl2969]) ).

thf(zip_derived_cl3001,plain,
    ( ~ ( r1 @ sk__3 @ sk__3 )
    | ~ ( r1 @ sk__3 @ sk__3 ) ),
    inference('sup-',[status(thm)],[zip_derived_cl791,zip_derived_cl2995]) ).

thf(zip_derived_cl0_001,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl0_002,plain,
    ! [X0: $i] : ( r1 @ X0 @ X0 ),
    inference(cnf,[status(esa)],[reflexivity]) ).

thf(zip_derived_cl3012,plain,
    $false,
    inference(demod,[status(thm)],[zip_derived_cl3001,zip_derived_cl0,zip_derived_cl0]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : LCL686+1.020 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14  % Command  : python3 /export/starexec/sandbox2/solver/bin/portfolio.lams.parallel.py %s %d /export/starexec/sandbox2/tmp/tmp.3zsMfJB95i true
% 0.13/0.35  % Computer : n015.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 300
% 0.13/0.35  % DateTime : Thu Aug 24 18:48:06 EDT 2023
% 0.20/0.35  % CPUTime  : 
% 0.20/0.35  % Running portfolio for 300 s
% 0.20/0.35  % File         : /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.35  % Number of cores: 8
% 0.20/0.35  % Python version: Python 3.6.8
% 0.20/0.35  % Running in FO mode
% 0.22/0.63  % Total configuration time : 435
% 0.22/0.63  % Estimated wc time : 1092
% 0.22/0.63  % Estimated cpu time (7 cpus) : 156.0
% 0.22/0.72  % /export/starexec/sandbox2/solver/bin/fo/fo6_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo3_bce.sh running for 75s
% 0.22/0.73  % /export/starexec/sandbox2/solver/bin/fo/fo1_av.sh running for 75s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo7.sh running for 63s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo13.sh running for 50s
% 0.22/0.75  % /export/starexec/sandbox2/solver/bin/fo/fo5.sh running for 50s
% 0.22/0.80  % /export/starexec/sandbox2/solver/bin/fo/fo4.sh running for 50s
% 1.31/1.10  % Solved by fo/fo3_bce.sh.
% 1.31/1.10  % BCE start: 300
% 1.31/1.10  % BCE eliminated: 2
% 1.31/1.10  % PE start: 298
% 1.31/1.10  logic: neq
% 1.31/1.10  % PE eliminated: -108
% 1.31/1.10  % done 687 iterations in 0.336s
% 1.31/1.10  % SZS status Theorem for '/export/starexec/sandbox2/benchmark/theBenchmark.p'
% 1.31/1.10  % SZS output start Refutation
% See solution above
% 1.31/1.12  
% 1.31/1.12  
% 1.31/1.12  % Terminating...
% 2.05/1.16  % Runner terminated.
% 2.05/1.17  % Zipperpin 1.5 exiting
%------------------------------------------------------------------------------