TSTP Solution File: LCL686+1.005 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n019.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri May 19 11:31:15 EDT 2023

% Result   : Theorem 4.72s 2.20s
% Output   : Refutation 4.91s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   19
% Syntax   : Number of formulae    :   24 (   3 unt;  16 typ;   0 def)
%            Number of atoms       :  428 (   0 equ;   0 cnn)
%            Maximal formula atoms :  140 (  53 avg)
%            Number of connectives : 1299 ( 350   ~; 260   |; 158   &; 529   @)
%                                         (   0 <=>;   2  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   57 (  24 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :   17 (  17   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   17 (  16 usr;   1 con; 0-2 aty)
%            Number of variables   :  107 (   0   ^; 104   !;   3   ?; 107   :)

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

thf(1,conjecture,
    ~ ? [A: $i] :
        ~ ( ! [B: $i] :
              ( ~ ( r1 @ A @ B )
              | ~ ( p15 @ B )
              | ! [C: $i] :
                  ( ~ ( r1 @ B @ C )
                  | ~ ( p1 @ C ) ) )
          | ! [B: $i] :
              ( ~ ( r1 @ A @ B )
              | ~ ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ~ ( ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ! [E: $i] :
                                ( ~ ( r1 @ D @ E )
                                | ! [F: $i] :
                                    ( ~ ( r1 @ E @ F )
                                    | ! [G: $i] :
                                        ( ~ ( r1 @ F @ G )
                                        | ! [H: $i] :
                                            ( ~ ( r1 @ G @ H )
                                            | ! [I: $i] :
                                                ( ~ ( r1 @ H @ I )
                                                | ! [J: $i] :
                                                    ( ~ ( r1 @ I @ J )
                                                    | ! [K: $i] :
                                                        ( ~ ( r1 @ J @ K )
                                                        | ! [L: $i] :
                                                            ( ~ ( r1 @ K @ L )
                                                            | ! [M: $i] :
                                                                ( ~ ( r1 @ L @ M )
                                                                | ! [N: $i] :
                                                                    ( ~ ( r1 @ M @ N )
                                                                    | ! [O: $i] :
                                                                        ( ~ ( r1 @ N @ O )
                                                                        | ! [P: $i] :
                                                                            ( ~ ( r1 @ O @ P )
                                                                            | $false )
                                                                        | ~ ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | ~ ( ( ( p14 @ P )
                                                                                    & ~ ( p13 @ P ) )
                                                                                  | ( ~ ( p14 @ P )
                                                                                    & ( p13 @ P ) ) ) ) )
                                                                    | ~ ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ~ ( ( ( p13 @ O )
                                                                                & ~ ( p12 @ O ) )
                                                                              | ( ~ ( p13 @ O )
                                                                                & ( p12 @ O ) ) ) ) )
                                                                | ~ ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ~ ( ( ( p12 @ N )
                                                                            & ~ ( p11 @ N ) )
                                                                          | ( ~ ( p12 @ N )
                                                                            & ( p11 @ N ) ) ) ) )
                                                            | ~ ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ~ ( ( ( p11 @ M )
                                                                        & ~ ( p10 @ M ) )
                                                                      | ( ~ ( p11 @ M )
                                                                        & ( p10 @ M ) ) ) ) )
                                                        | ~ ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ~ ( ( ( p10 @ L )
                                                                    & ~ ( p9 @ L ) )
                                                                  | ( ~ ( p10 @ L )
                                                                    & ( p9 @ L ) ) ) ) )
                                                    | ~ ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ~ ( ( ( p9 @ K )
                                                                & ~ ( p8 @ K ) )
                                                              | ( ~ ( p9 @ K )
                                                                & ( p8 @ K ) ) ) ) )
                                                | ~ ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ~ ( ( ( p8 @ J )
                                                            & ~ ( p7 @ J ) )
                                                          | ( ~ ( p8 @ J )
                                                            & ( p7 @ J ) ) ) ) )
                                            | ~ ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ~ ( ( ( p7 @ I )
                                                        & ~ ( p6 @ I ) )
                                                      | ( ~ ( p7 @ I )
                                                        & ( p6 @ I ) ) ) ) )
                                        | ~ ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ~ ( ( ( p6 @ H )
                                                    & ~ ( p5 @ H ) )
                                                  | ( ~ ( p6 @ H )
                                                    & ( p5 @ H ) ) ) ) )
                                    | ~ ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ~ ( ( ( p5 @ G )
                                                & ~ ( p4 @ G ) )
                                              | ( ~ ( p5 @ G )
                                                & ( p4 @ G ) ) ) ) )
                                | ~ ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ~ ( ( ( p4 @ F )
                                            & ~ ( p3 @ F ) )
                                          | ( ~ ( p4 @ F )
                                            & ( p3 @ F ) ) ) ) )
                            | ~ ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ~ ( ( ( p3 @ E )
                                        & ~ ( p2 @ E ) )
                                      | ( ~ ( p3 @ E )
                                        & ( p2 @ E ) ) ) ) )
                        | ~ ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ~ ( ( ( p2 @ D )
                                    & ~ ( p1 @ D ) )
                                  | ( ~ ( p2 @ D )
                                    & ( p1 @ D ) ) ) )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ( p15 @ D ) )
                        | ! [D: $i] :
                            ( ~ ( r1 @ C @ D )
                            | ( ~ ( p13 @ D )
                              & ~ ( p14 @ D ) )
                            | ( ( p14 @ D )
                              & ( p13 @ D ) )
                            | ( ~ ( p12 @ D )
                              & ~ ( p13 @ D ) )
                            | ( ( p13 @ D )
                              & ( p12 @ D ) )
                            | ( ~ ( p11 @ D )
                              & ~ ( p12 @ D ) )
                            | ( ( p12 @ D )
                              & ( p11 @ D ) )
                            | ( ~ ( p10 @ D )
                              & ~ ( p11 @ D ) )
                            | ( ( p11 @ D )
                              & ( p10 @ D ) )
                            | ( ~ ( p9 @ D )
                              & ~ ( p10 @ D ) )
                            | ( ( p10 @ D )
                              & ( p9 @ D ) )
                            | ( ~ ( p8 @ D )
                              & ~ ( p9 @ D ) )
                            | ( ( p9 @ D )
                              & ( p8 @ D ) )
                            | ( ~ ( p7 @ D )
                              & ~ ( p8 @ D ) )
                            | ( ( p8 @ D )
                              & ( p7 @ D ) )
                            | ( ~ ( p6 @ D )
                              & ~ ( p7 @ D ) )
                            | ( ( p7 @ D )
                              & ( p6 @ D ) )
                            | ( ~ ( p5 @ D )
                              & ~ ( p6 @ D ) )
                            | ( ( p6 @ D )
                              & ( p5 @ D ) )
                            | ( ~ ( p4 @ D )
                              & ~ ( p5 @ D ) )
                            | ( ( p5 @ D )
                              & ( p4 @ D ) )
                            | ( ~ ( p3 @ D )
                              & ~ ( p4 @ D ) )
                            | ( ( p4 @ D )
                              & ( p3 @ D ) )
                            | ( ~ ( p2 @ D )
                              & ~ ( p3 @ D ) )
                            | ( ( p3 @ D )
                              & ( p2 @ D ) )
                            | ( ~ ( p1 @ D )
                              & ~ ( p2 @ D ) )
                            | ( ( p2 @ D )
                              & ( p1 @ D ) ) ) ) ) ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',main) ).

thf(2,negated_conjecture,
    ~ ~ ? [A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ~ ( p15 @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ~ ( p1 @ C ) ) )
            | ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ~ ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ~ ( ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ! [P: $i] :
                                                                              ( ~ ( r1 @ O @ P )
                                                                              | $false )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ~ ( ( ( p14 @ P )
                                                                                      & ~ ( p13 @ P ) )
                                                                                    | ( ~ ( p14 @ P )
                                                                                      & ( p13 @ P ) ) ) ) )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ~ ( ( ( p13 @ O )
                                                                                  & ~ ( p12 @ O ) )
                                                                                | ( ~ ( p13 @ O )
                                                                                  & ( p12 @ O ) ) ) ) )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ~ ( ( ( p12 @ N )
                                                                              & ~ ( p11 @ N ) )
                                                                            | ( ~ ( p12 @ N )
                                                                              & ( p11 @ N ) ) ) ) )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ~ ( ( ( p11 @ M )
                                                                          & ~ ( p10 @ M ) )
                                                                        | ( ~ ( p11 @ M )
                                                                          & ( p10 @ M ) ) ) ) )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ~ ( ( ( p10 @ L )
                                                                      & ~ ( p9 @ L ) )
                                                                    | ( ~ ( p10 @ L )
                                                                      & ( p9 @ L ) ) ) ) )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ~ ( ( ( p9 @ K )
                                                                  & ~ ( p8 @ K ) )
                                                                | ( ~ ( p9 @ K )
                                                                  & ( p8 @ K ) ) ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ~ ( ( ( p8 @ J )
                                                              & ~ ( p7 @ J ) )
                                                            | ( ~ ( p8 @ J )
                                                              & ( p7 @ J ) ) ) ) )
                                              | ~ ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ~ ( ( ( p7 @ I )
                                                          & ~ ( p6 @ I ) )
                                                        | ( ~ ( p7 @ I )
                                                          & ( p6 @ I ) ) ) ) )
                                          | ~ ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ~ ( ( ( p6 @ H )
                                                      & ~ ( p5 @ H ) )
                                                    | ( ~ ( p6 @ H )
                                                      & ( p5 @ H ) ) ) ) )
                                      | ~ ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ~ ( ( ( p5 @ G )
                                                  & ~ ( p4 @ G ) )
                                                | ( ~ ( p5 @ G )
                                                  & ( p4 @ G ) ) ) ) )
                                  | ~ ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ~ ( ( ( p4 @ F )
                                              & ~ ( p3 @ F ) )
                                            | ( ~ ( p4 @ F )
                                              & ( p3 @ F ) ) ) ) )
                              | ~ ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ~ ( ( ( p3 @ E )
                                          & ~ ( p2 @ E ) )
                                        | ( ~ ( p3 @ E )
                                          & ( p2 @ E ) ) ) ) )
                          | ~ ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ~ ( ( ( p2 @ D )
                                      & ~ ( p1 @ D ) )
                                    | ( ~ ( p2 @ D )
                                      & ( p1 @ D ) ) ) )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ( p15 @ D ) )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ( ~ ( p13 @ D )
                                & ~ ( p14 @ D ) )
                              | ( ( p14 @ D )
                                & ( p13 @ D ) )
                              | ( ~ ( p12 @ D )
                                & ~ ( p13 @ D ) )
                              | ( ( p13 @ D )
                                & ( p12 @ D ) )
                              | ( ~ ( p11 @ D )
                                & ~ ( p12 @ D ) )
                              | ( ( p12 @ D )
                                & ( p11 @ D ) )
                              | ( ~ ( p10 @ D )
                                & ~ ( p11 @ D ) )
                              | ( ( p11 @ D )
                                & ( p10 @ D ) )
                              | ( ~ ( p9 @ D )
                                & ~ ( p10 @ D ) )
                              | ( ( p10 @ D )
                                & ( p9 @ D ) )
                              | ( ~ ( p8 @ D )
                                & ~ ( p9 @ D ) )
                              | ( ( p9 @ D )
                                & ( p8 @ D ) )
                              | ( ~ ( p7 @ D )
                                & ~ ( p8 @ D ) )
                              | ( ( p8 @ D )
                                & ( p7 @ D ) )
                              | ( ~ ( p6 @ D )
                                & ~ ( p7 @ D ) )
                              | ( ( p7 @ D )
                                & ( p6 @ D ) )
                              | ( ~ ( p5 @ D )
                                & ~ ( p6 @ D ) )
                              | ( ( p6 @ D )
                                & ( p5 @ D ) )
                              | ( ~ ( p4 @ D )
                                & ~ ( p5 @ D ) )
                              | ( ( p5 @ D )
                                & ( p4 @ D ) )
                              | ( ~ ( p3 @ D )
                                & ~ ( p4 @ D ) )
                              | ( ( p4 @ D )
                                & ( p3 @ D ) )
                              | ( ~ ( p2 @ D )
                                & ~ ( p3 @ D ) )
                              | ( ( p3 @ D )
                                & ( p2 @ D ) )
                              | ( ~ ( p1 @ D )
                                & ~ ( p2 @ D ) )
                              | ( ( p2 @ D )
                                & ( p1 @ D ) ) ) ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(5,plain,
    ~ ~ ? [A: $i] :
          ~ ( ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ~ ( p15 @ B )
                | ! [C: $i] :
                    ( ~ ( r1 @ B @ C )
                    | ~ ( p1 @ C ) ) )
            | ! [B: $i] :
                ( ~ ( r1 @ A @ B )
                | ~ ! [C: $i] :
                      ( ~ ( r1 @ B @ C )
                      | ~ ( ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ! [E: $i] :
                                  ( ~ ( r1 @ D @ E )
                                  | ! [F: $i] :
                                      ( ~ ( r1 @ E @ F )
                                      | ! [G: $i] :
                                          ( ~ ( r1 @ F @ G )
                                          | ! [H: $i] :
                                              ( ~ ( r1 @ G @ H )
                                              | ! [I: $i] :
                                                  ( ~ ( r1 @ H @ I )
                                                  | ! [J: $i] :
                                                      ( ~ ( r1 @ I @ J )
                                                      | ! [K: $i] :
                                                          ( ~ ( r1 @ J @ K )
                                                          | ! [L: $i] :
                                                              ( ~ ( r1 @ K @ L )
                                                              | ! [M: $i] :
                                                                  ( ~ ( r1 @ L @ M )
                                                                  | ! [N: $i] :
                                                                      ( ~ ( r1 @ M @ N )
                                                                      | ! [O: $i] :
                                                                          ( ~ ( r1 @ N @ O )
                                                                          | ! [P: $i] :
                                                                              ~ ( r1 @ O @ P )
                                                                          | ~ ! [P: $i] :
                                                                                ( ~ ( r1 @ O @ P )
                                                                                | ~ ( ( ( p14 @ P )
                                                                                      & ~ ( p13 @ P ) )
                                                                                    | ( ~ ( p14 @ P )
                                                                                      & ( p13 @ P ) ) ) ) )
                                                                      | ~ ! [O: $i] :
                                                                            ( ~ ( r1 @ N @ O )
                                                                            | ~ ( ( ( p13 @ O )
                                                                                  & ~ ( p12 @ O ) )
                                                                                | ( ~ ( p13 @ O )
                                                                                  & ( p12 @ O ) ) ) ) )
                                                                  | ~ ! [N: $i] :
                                                                        ( ~ ( r1 @ M @ N )
                                                                        | ~ ( ( ( p12 @ N )
                                                                              & ~ ( p11 @ N ) )
                                                                            | ( ~ ( p12 @ N )
                                                                              & ( p11 @ N ) ) ) ) )
                                                              | ~ ! [M: $i] :
                                                                    ( ~ ( r1 @ L @ M )
                                                                    | ~ ( ( ( p11 @ M )
                                                                          & ~ ( p10 @ M ) )
                                                                        | ( ~ ( p11 @ M )
                                                                          & ( p10 @ M ) ) ) ) )
                                                          | ~ ! [L: $i] :
                                                                ( ~ ( r1 @ K @ L )
                                                                | ~ ( ( ( p10 @ L )
                                                                      & ~ ( p9 @ L ) )
                                                                    | ( ~ ( p10 @ L )
                                                                      & ( p9 @ L ) ) ) ) )
                                                      | ~ ! [K: $i] :
                                                            ( ~ ( r1 @ J @ K )
                                                            | ~ ( ( ( p9 @ K )
                                                                  & ~ ( p8 @ K ) )
                                                                | ( ~ ( p9 @ K )
                                                                  & ( p8 @ K ) ) ) ) )
                                                  | ~ ! [J: $i] :
                                                        ( ~ ( r1 @ I @ J )
                                                        | ~ ( ( ( p8 @ J )
                                                              & ~ ( p7 @ J ) )
                                                            | ( ~ ( p8 @ J )
                                                              & ( p7 @ J ) ) ) ) )
                                              | ~ ! [I: $i] :
                                                    ( ~ ( r1 @ H @ I )
                                                    | ~ ( ( ( p7 @ I )
                                                          & ~ ( p6 @ I ) )
                                                        | ( ~ ( p7 @ I )
                                                          & ( p6 @ I ) ) ) ) )
                                          | ~ ! [H: $i] :
                                                ( ~ ( r1 @ G @ H )
                                                | ~ ( ( ( p6 @ H )
                                                      & ~ ( p5 @ H ) )
                                                    | ( ~ ( p6 @ H )
                                                      & ( p5 @ H ) ) ) ) )
                                      | ~ ! [G: $i] :
                                            ( ~ ( r1 @ F @ G )
                                            | ~ ( ( ( p5 @ G )
                                                  & ~ ( p4 @ G ) )
                                                | ( ~ ( p5 @ G )
                                                  & ( p4 @ G ) ) ) ) )
                                  | ~ ! [F: $i] :
                                        ( ~ ( r1 @ E @ F )
                                        | ~ ( ( ( p4 @ F )
                                              & ~ ( p3 @ F ) )
                                            | ( ~ ( p4 @ F )
                                              & ( p3 @ F ) ) ) ) )
                              | ~ ! [E: $i] :
                                    ( ~ ( r1 @ D @ E )
                                    | ~ ( ( ( p3 @ E )
                                          & ~ ( p2 @ E ) )
                                        | ( ~ ( p3 @ E )
                                          & ( p2 @ E ) ) ) ) )
                          | ~ ! [D: $i] :
                                ( ~ ( r1 @ C @ D )
                                | ~ ( ( ( p2 @ D )
                                      & ~ ( p1 @ D ) )
                                    | ( ~ ( p2 @ D )
                                      & ( p1 @ D ) ) ) )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ( p15 @ D ) )
                          | ! [D: $i] :
                              ( ~ ( r1 @ C @ D )
                              | ( ~ ( p13 @ D )
                                & ~ ( p14 @ D ) )
                              | ( ( p14 @ D )
                                & ( p13 @ D ) )
                              | ( ~ ( p12 @ D )
                                & ~ ( p13 @ D ) )
                              | ( ( p13 @ D )
                                & ( p12 @ D ) )
                              | ( ~ ( p11 @ D )
                                & ~ ( p12 @ D ) )
                              | ( ( p12 @ D )
                                & ( p11 @ D ) )
                              | ( ~ ( p10 @ D )
                                & ~ ( p11 @ D ) )
                              | ( ( p11 @ D )
                                & ( p10 @ D ) )
                              | ( ~ ( p9 @ D )
                                & ~ ( p10 @ D ) )
                              | ( ( p10 @ D )
                                & ( p9 @ D ) )
                              | ( ~ ( p8 @ D )
                                & ~ ( p9 @ D ) )
                              | ( ( p9 @ D )
                                & ( p8 @ D ) )
                              | ( ~ ( p7 @ D )
                                & ~ ( p8 @ D ) )
                              | ( ( p8 @ D )
                                & ( p7 @ D ) )
                              | ( ~ ( p6 @ D )
                                & ~ ( p7 @ D ) )
                              | ( ( p7 @ D )
                                & ( p6 @ D ) )
                              | ( ~ ( p5 @ D )
                                & ~ ( p6 @ D ) )
                              | ( ( p6 @ D )
                                & ( p5 @ D ) )
                              | ( ~ ( p4 @ D )
                                & ~ ( p5 @ D ) )
                              | ( ( p5 @ D )
                                & ( p4 @ D ) )
                              | ( ~ ( p3 @ D )
                                & ~ ( p4 @ D ) )
                              | ( ( p4 @ D )
                                & ( p3 @ D ) )
                              | ( ~ ( p2 @ D )
                                & ~ ( p3 @ D ) )
                              | ( ( p3 @ D )
                                & ( p2 @ D ) )
                              | ( ~ ( p1 @ D )
                                & ~ ( p2 @ D ) )
                              | ( ( p2 @ D )
                                & ( p1 @ D ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

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

thf(105,plain,
    ! [A: $i] : ( r1 @ A @ A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(4,axiom,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r1 @ A @ B )
        & ( r1 @ B @ C ) )
     => ( r1 @ A @ C ) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',transitivity) ).

thf(107,plain,
    ! [A: $i,B: $i,C: $i] :
      ( ( ( r1 @ A @ B )
        & ( r1 @ B @ C ) )
     => ( r1 @ A @ C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(109,plain,
    $false,
    inference(e,[status(thm)],[5,105,107]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : LCL686+1.005 : TPTP v8.1.2. Released v4.0.0.
% 0.16/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.37  % Computer : n019.cluster.edu
% 0.16/0.37  % Model    : x86_64 x86_64
% 0.16/0.37  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37  % Memory   : 8042.1875MB
% 0.16/0.37  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37  % CPULimit : 300
% 0.16/0.37  % WCLimit  : 300
% 0.16/0.37  % DateTime : Thu May 18 16:21:43 EDT 2023
% 0.16/0.37  % CPUTime  : 
% 1.00/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox/benchmark/theBenchmark.p ... 
% 1.30/1.00  % [INFO] 	 Parsing done (136ms). 
% 1.30/1.00  % [INFO] 	 Running in sequential loop mode. 
% 1.80/1.22  % [INFO] 	 eprover registered as external prover. 
% 1.80/1.22  % [INFO] 	 cvc4 registered as external prover. 
% 1.80/1.22  % [INFO] 	 Scanning for conjecture ... 
% 2.23/1.35  % [INFO] 	 Found a conjecture and 2 axioms. Running axiom selection ... 
% 2.32/1.40  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 2.32/1.41  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.32/1.42  % [INFO] 	 Type checking passed. 
% 2.32/1.42  % [CONFIG] 	 Using configuration: timeout(300) with strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>.  Searching for refutation ... 
% 4.72/2.20  % External prover 'e' found a proof!
% 4.72/2.20  % [INFO] 	 Killing All external provers ... 
% 4.72/2.20  % Time passed: 1665ms (effective reasoning time: 1189ms)
% 4.72/2.20  % Solved by strategy<name(default),share(1.0),primSubst(3),sos(false),unifierCount(4),uniDepth(8),boolExt(true),choice(true),renaming(true),funcspec(false), domConstr(0),specialInstances(39),restrictUniAttempts(true),termOrdering(CPO)>
% 4.72/2.20  % Axioms used in derivation (2): reflexivity, transitivity
% 4.72/2.20  % No. of inferences in proof: 8
% 4.72/2.20  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p : 1665 ms resp. 1189 ms w/o parsing
% 4.91/2.26  % SZS output start Refutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 4.91/2.26  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------