TSTP Solution File: SWV427^2 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SWV427^2 : TPTP v8.2.0. Released v3.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n008.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 : Tue May 21 05:45:37 EDT 2024

% Result   : Theorem 12.98s 3.33s
% Output   : Refutation 12.98s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   13
%            Number of leaves      :   32
% Syntax   : Number of formulae    :   99 (  21 unt;  21 typ;   8 def)
%            Number of atoms       :  268 (  37 equ;   0 cnn)
%            Maximal formula atoms :   15 (   3 avg)
%            Number of connectives :  621 ( 101   ~;  78   |;   0   &; 431   @)
%                                         (   0 <=>;  11  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   17 (   6 avg)
%            Number of types       :    3 (   1 usr)
%            Number of type conns  :   77 (  77   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   25 (  23 usr;   8 con; 0-3 aty)
%            Number of variables   :   95 (  23   ^  72   !;   0   ?;  95   :)

% Comments : 
%------------------------------------------------------------------------------
thf(prop_a_type,type,
    prop_a: $i > $o ).

thf(prop_b_type,type,
    prop_b: $i > $o ).

thf(prop_c_type,type,
    prop_c: $i > $o ).

thf(mimpl_type,type,
    mimpl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mimpl_def,definition,
    ( mimpl
    = ( ^ [A: $i > $o] : ( mor @ ( mnot @ A ) ) ) ) ).

thf(mbox_type,type,
    mbox: ( $i > $i > $o ) > ( $i > $o ) > $i > $o ).

thf(mbox_def,definition,
    ( mbox
    = ( ^ [A: $i > $i > $o,B: $i > $o,C: $i] :
        ! [D: $i] :
          ( ( A @ C @ D )
         => ( B @ D ) ) ) ) ).

thf(individuals_type,type,
    individuals: $tType ).

thf(mvalid_type,type,
    mvalid: ( $i > $o ) > $o ).

thf(mvalid_def,definition,
    ( mvalid
    = ( '!' @ $i ) ) ).

thf(rel_type,type,
    rel: $i > $i > $o ).

thf(icl_atom_type,type,
    icl_atom: ( $i > $o ) > $i > $o ).

thf(icl_atom_def,definition,
    ( icl_atom
    = ( mbox @ rel ) ) ).

thf(icl_princ_type,type,
    icl_princ: ( $i > $o ) > $i > $o ).

thf(icl_princ_def,definition,
    ( icl_princ
    = ( ^ [A: $i > $o] : A ) ) ).

thf(icl_impl_type,type,
    icl_impl: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(icl_impl_def,definition,
    ( icl_impl
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mimpl @ A @ B ) ) ) ) ).

thf(icl_says_type,type,
    icl_says: ( $i > $o ) > ( $i > $o ) > $i > $o ).

thf(icl_says_def,definition,
    ( icl_says
    = ( ^ [A: $i > $o,B: $i > $o] : ( mbox @ rel @ ( mor @ A @ B ) ) ) ) ).

thf(iclval_type,type,
    iclval: ( $i > $o ) > $o ).

thf(iclval_def,definition,
    iclval = mvalid ).

thf(s_type,type,
    s: $i > $o ).

thf(a_type,type,
    a: $i > $o ).

thf(sk1_type,type,
    sk1: $i ).

thf(sk2_type,type,
    sk2: $i ).

thf(sk3_type,type,
    sk3: $i ).

thf(sk4_type,type,
    sk4: $i ).

thf(sk5_type,type,
    sk5: $i > ( $i > $o ) > $i ).

thf(sk6_type,type,
    sk6: $i > ( $i > $o ) > $i ).

thf(1,conjecture,
    iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',idem) ).

thf(2,negated_conjecture,
    ~ ( iclval @ ( icl_impl @ ( icl_says @ ( icl_princ @ a ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) @ ( icl_says @ ( icl_princ @ a ) @ ( icl_atom @ s ) ) ) ),
    inference(neg_conjecture,[status(cth)],[1]) ).

thf(5,plain,
    ~ ! [A: $i,B: $i] :
        ( ( rel @ A @ B )
       => ( ~ ! [C: $i] :
                ( ( rel @ B @ C )
               => ( ( a @ C )
                  | ! [D: $i] :
                      ( ( rel @ C @ D )
                     => ( ( a @ D )
                        | ! [E: $i] :
                            ( ( rel @ D @ E )
                           => ( s @ E ) ) ) ) ) )
          | ! [C: $i] :
              ( ( rel @ B @ C )
             => ( ( a @ C )
                | ! [D: $i] :
                    ( ( rel @ C @ D )
                   => ( s @ D ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(11,plain,
    rel @ sk1 @ sk2,
    inference(cnf,[status(esa)],[5]) ).

thf(10,plain,
    rel @ sk2 @ sk3,
    inference(cnf,[status(esa)],[5]) ).

thf(4,axiom,
    ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ A ) @ ( mbox @ rel @ ( mbox @ rel @ A ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',trans_axiom) ).

thf(15,plain,
    ! [A: $i > $o,B: $i] :
      ( ~ ! [C: $i] :
            ( ( rel @ B @ C )
           => ( A @ C ) )
      | ! [C: $i] :
          ( ( rel @ B @ C )
         => ! [D: $i] :
              ( ( rel @ C @ D )
             => ( A @ D ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(17,plain,
    ! [D: $i,C: $i,B: $i,A: $i > $o] :
      ( ~ ( A @ ( sk6 @ B @ A ) )
      | ~ ( rel @ B @ C )
      | ~ ( rel @ C @ D )
      | ( A @ D ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(21,plain,
    ! [D: $i,C: $i,B: $i,A: $i > $o] :
      ( ~ ( A @ ( sk6 @ B @ A ) )
      | ~ ( rel @ B @ C )
      | ( A @ D )
      | ( ( rel @ sk2 @ sk3 )
       != ( rel @ C @ D ) ) ),
    inference(paramod_ordered,[status(thm)],[10,17]) ).

thf(22,plain,
    ! [B: $i,A: $i > $o] :
      ( ~ ( A @ ( sk6 @ B @ A ) )
      | ~ ( rel @ B @ sk2 )
      | ( A @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[21:[bind(A,$thf( A )),bind(B,$thf( B )),bind(C,$thf( sk2 )),bind(D,$thf( sk3 ))]]) ).

thf(122,plain,
    ! [B: $i,A: $i > $o] :
      ( ~ ( A @ ( sk6 @ B @ A ) )
      | ( A @ sk3 )
      | ( ( rel @ sk1 @ sk2 )
       != ( rel @ B @ sk2 ) ) ),
    inference(paramod_ordered,[status(thm)],[11,22]) ).

thf(123,plain,
    ! [A: $i > $o] :
      ( ~ ( A @ ( sk6 @ sk1 @ A ) )
      | ( A @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[122:[bind(A,$thf( A )),bind(B,$thf( sk1 ))]]) ).

thf(185,plain,
    ( ~ ( prop_c @ ( sk6 @ sk1 @ prop_c ) )
    | ( prop_c @ sk3 ) ),
    inference(prim_subst,[status(thm)],[123:[bind(A,$thf( prop_c ))]]) ).

thf(3,axiom,
    ! [A: $i > $o] : ( mvalid @ ( mimpl @ ( mbox @ rel @ A ) @ A ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',refl_axiom) ).

thf(12,plain,
    ! [A: $i > $o,B: $i] :
      ( ~ ! [C: $i] :
            ( ( rel @ B @ C )
           => ( A @ C ) )
      | ( A @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(14,plain,
    ! [B: $i,A: $i > $o] :
      ( ~ ( A @ ( sk5 @ B @ A ) )
      | ( A @ B ) ),
    inference(cnf,[status(esa)],[12]) ).

thf(193,plain,
    ! [A: $i > $o] :
      ( ~ ~ ( A
            @ ( sk6 @ sk1
              @ ^ [B: $i] :
                  ~ ( A @ B ) ) )
      | ~ ( A @ sk3 ) ),
    inference(prim_subst,[status(thm)],[123:[bind(A,$thf( ^ [C: $i] : ~ ( B @ C ) ))]]) ).

thf(205,plain,
    ! [A: $i > $o] :
      ( ~ ( A @ sk3 )
      | ( A
        @ ( sk6 @ sk1
          @ ^ [B: $i] :
              ~ ( A @ B ) ) ) ),
    inference(cnf,[status(esa)],[193]) ).

thf(206,plain,
    ! [A: $i > $o] :
      ( ~ ( A @ sk3 )
      | ( A
        @ ( sk6 @ sk1
          @ ^ [B: $i] :
              ~ ( A @ B ) ) ) ),
    inference(simp,[status(thm)],[205]) ).

thf(6,plain,
    rel @ sk3 @ sk4,
    inference(cnf,[status(esa)],[5]) ).

thf(791,plain,
    ! [A: $i > $o] :
      ( ( A
        @ ( sk6 @ sk1
          @ ^ [B: $i] :
              ~ ( A @ B ) ) )
      | ( ( rel @ sk3 @ sk4 )
       != ( A @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[6,206]) ).

thf(862,plain,
    ( rel
    @ ( sk6 @ sk1
      @ ^ [A: $i] :
          ~ ( rel @ A @ sk4 ) )
    @ sk4 ),
    inference(pre_uni,[status(thm)],[791:[bind(A,$thf( ^ [B: $i] : ( rel @ B @ sk4 ) ))]]) ).

thf(197,plain,
    ( ~ ( s @ ( sk6 @ sk1 @ s ) )
    | ( s @ sk3 ) ),
    inference(prim_subst,[status(thm)],[123:[bind(A,$thf( s ))]]) ).

thf(7,plain,
    ~ ( a @ sk3 ),
    inference(cnf,[status(esa)],[5]) ).

thf(32,plain,
    ! [D: $i,C: $i,B: $i,A: $i > $o] :
      ( ~ ( A @ ( sk6 @ B @ A ) )
      | ~ ( rel @ B @ C )
      | ~ ( rel @ C @ D )
      | ( ( A @ D )
       != ( a @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[17,7]) ).

thf(65,plain,
    ! [B: $i,A: $i] :
      ( ~ ( a @ ( sk6 @ A @ a ) )
      | ~ ( rel @ A @ B )
      | ~ ( rel @ B @ sk3 ) ),
    inference(pre_uni,[status(thm)],[32:[bind(A,$thf( a )),bind(B,$thf( B )),bind(C,$thf( C )),bind(D,$thf( sk3 ))]]) ).

thf(73,plain,
    ! [B: $i,A: $i] :
      ( ~ ( a @ ( sk6 @ A @ a ) )
      | ~ ( rel @ A @ B )
      | ~ ( rel @ B @ sk3 ) ),
    inference(simp,[status(thm)],[65]) ).

thf(16,plain,
    ! [D: $i,C: $i,B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk6 @ B @ A ) )
      | ~ ( rel @ B @ C )
      | ~ ( rel @ C @ D )
      | ( A @ D ) ),
    inference(cnf,[status(esa)],[15]) ).

thf(13,plain,
    ! [B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk5 @ B @ A ) )
      | ( A @ B ) ),
    inference(cnf,[status(esa)],[12]) ).

thf(9,plain,
    ~ ( s @ sk4 ),
    inference(cnf,[status(esa)],[5]) ).

thf(351,plain,
    ! [B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk5 @ B @ A ) )
      | ( ( A @ B )
       != ( s @ sk4 ) ) ),
    inference(paramod_ordered,[status(thm)],[13,9]) ).

thf(384,plain,
    rel @ sk4 @ ( sk5 @ sk4 @ s ),
    inference(pre_uni,[status(thm)],[351:[bind(A,$thf( s )),bind(B,$thf( sk4 ))]]) ).

thf(291,plain,
    ! [B: $i,A: $i] :
      ( ~ ( a @ ( sk6 @ A @ a ) )
      | ~ ( rel @ B @ sk3 )
      | ( ( rel @ sk2 @ sk3 )
       != ( rel @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[10,73]) ).

thf(292,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ~ ( rel @ sk3 @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[291:[bind(A,$thf( sk2 )),bind(B,$thf( sk3 ))]]) ).

thf(188,plain,
    ( ~ ( prop_b @ ( sk6 @ sk1 @ prop_b ) )
    | ( prop_b @ sk3 ) ),
    inference(prim_subst,[status(thm)],[123:[bind(A,$thf( prop_b ))]]) ).

thf(352,plain,
    ! [B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk5 @ B @ A ) )
      | ( prop_b @ sk3 )
      | ( ( A @ B )
       != ( prop_b @ ( sk6 @ sk1 @ prop_b ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,188]) ).

thf(388,plain,
    ( ( rel @ sk1
      @ ( sk5 @ sk1
        @ ^ [A: $i] : ( prop_b @ ( sk6 @ A @ prop_b ) ) ) )
    | ( prop_b @ sk3 ) ),
    inference(pre_uni,[status(thm)],[352:[bind(A,$thf( ^ [C: $i] : ( prop_b @ ( sk6 @ C @ prop_b ) ) )),bind(B,$thf( sk1 ))]]) ).

thf(186,plain,
    ( ~ ( a @ ( sk6 @ sk1 @ a ) )
    | ( a @ sk3 ) ),
    inference(prim_subst,[status(thm)],[123:[bind(A,$thf( a ))]]) ).

thf(267,plain,
    ( ~ ( a @ ( sk6 @ sk1 @ a ) )
    | $false ),
    inference(rewrite,[status(thm)],[186,7]) ).

thf(268,plain,
    ~ ( a @ ( sk6 @ sk1 @ a ) ),
    inference(simp,[status(thm)],[267]) ).

thf(353,plain,
    ! [B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk5 @ B @ A ) )
      | ( ( A @ B )
       != ( a @ ( sk6 @ sk1 @ a ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,268]) ).

thf(393,plain,
    ( rel @ sk1
    @ ( sk5 @ sk1
      @ ^ [A: $i] : ( a @ ( sk6 @ A @ a ) ) ) ),
    inference(pre_uni,[status(thm)],[353:[bind(A,$thf( ^ [C: $i] : ( a @ ( sk6 @ C @ a ) ) )),bind(B,$thf( sk1 ))]]) ).

thf(295,plain,
    ! [B: $i,A: $i] :
      ( ~ ( a @ ( sk6 @ A @ a ) )
      | ~ ( rel @ B @ sk3 )
      | ( ( rel @ sk3 @ sk4 )
       != ( rel @ A @ B ) ) ),
    inference(paramod_ordered,[status(thm)],[6,73]) ).

thf(296,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ~ ( rel @ sk4 @ sk3 ) ),
    inference(pattern_uni,[status(thm)],[295:[bind(A,$thf( sk3 )),bind(B,$thf( sk4 ))]]) ).

thf(320,plain,
    ! [B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk5 @ B @ A ) )
      | ( prop_c @ sk3 )
      | ( ( A @ B )
       != ( prop_c @ ( sk6 @ sk1 @ prop_c ) ) ) ),
    inference(paramod_ordered,[status(thm)],[13,185]) ).

thf(375,plain,
    ( ( rel @ sk1
      @ ( sk5 @ sk1
        @ ^ [A: $i] : ( prop_c @ ( sk6 @ A @ prop_c ) ) ) )
    | ( prop_c @ sk3 ) ),
    inference(pre_uni,[status(thm)],[320:[bind(A,$thf( ^ [C: $i] : ( prop_c @ ( sk6 @ C @ prop_c ) ) )),bind(B,$thf( sk1 ))]]) ).

thf(1333,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ( ( rel @ sk4 @ sk3 )
     != ( rel @ sk2 @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[10,296]) ).

thf(1359,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ( sk4 != sk2 )
    | ( sk3 != sk3 ) ),
    inference(simp,[status(thm)],[1333]) ).

thf(1388,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ( sk4 != sk2 ) ),
    inference(simp,[status(thm)],[1359]) ).

thf(680,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ( ( rel @ sk3 @ sk4 )
     != ( rel @ sk3 @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[6,292]) ).

thf(708,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ( sk3 != sk3 )
    | ( sk4 != sk3 ) ),
    inference(simp,[status(thm)],[680]) ).

thf(711,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ( sk4 != sk3 ) ),
    inference(simp,[status(thm)],[708]) ).

thf(391,plain,
    rel @ ( sk6 @ sk1 @ a ) @ ( sk5 @ ( sk6 @ sk1 @ a ) @ a ),
    inference(pre_uni,[status(thm)],[353:[bind(A,$thf( a )),bind(B,$thf( sk6 @ sk1 @ a ))]]) ).

thf(678,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ( ( rel @ sk3 @ sk3 )
     != ( rel @ sk2 @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[10,292]) ).

thf(686,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ( sk3 != sk2 )
    | ( sk3 != sk3 ) ),
    inference(simp,[status(thm)],[678]) ).

thf(712,plain,
    ( ~ ( a @ ( sk6 @ sk2 @ a ) )
    | ( sk3 != sk2 ) ),
    inference(simp,[status(thm)],[686]) ).

thf(787,plain,
    ! [A: $i > $o] :
      ( ( A
        @ ( sk6 @ sk1
          @ ^ [B: $i] :
              ~ ( A @ B ) ) )
      | ( ( rel @ sk2 @ sk3 )
       != ( A @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[10,206]) ).

thf(855,plain,
    ( rel @ sk2
    @ ( sk6 @ sk1
      @ ^ [A: $i] :
          ~ ( rel @ sk2 @ A ) ) ),
    inference(pre_uni,[status(thm)],[787:[bind(A,$thf( rel @ sk2 ))]]) ).

thf(1335,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ( ( rel @ sk4 @ sk3 )
     != ( rel @ sk3 @ sk4 ) ) ),
    inference(paramod_ordered,[status(thm)],[6,296]) ).

thf(1379,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ( sk4 != sk3 )
    | ( sk4 != sk3 ) ),
    inference(simp,[status(thm)],[1335]) ).

thf(1400,plain,
    ( ~ ( a @ ( sk6 @ sk3 @ a ) )
    | ( sk4 != sk3 ) ),
    inference(simp,[status(thm)],[1379]) ).

thf(339,plain,
    ! [B: $i,A: $i > $o] :
      ( ( rel @ B @ ( sk5 @ B @ A ) )
      | ( ( A @ B )
       != ( a @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[13,7]) ).

thf(378,plain,
    rel @ sk3 @ ( sk5 @ sk3 @ a ),
    inference(pre_uni,[status(thm)],[339:[bind(A,$thf( a )),bind(B,$thf( sk3 ))]]) ).

thf(808,plain,
    ! [A: $i > $o] :
      ( ( A
        @ ( sk6 @ sk1
          @ ^ [B: $i] :
              ~ ( A @ B ) ) )
      | ( ( rel @ sk3 @ ( sk5 @ sk3 @ a ) )
       != ( A @ sk3 ) ) ),
    inference(paramod_ordered,[status(thm)],[378,206]) ).

thf(864,plain,
    ( rel @ sk3
    @ ( sk5
      @ ( sk6 @ sk1
        @ ^ [A: $i] :
            ~ ( rel @ sk3 @ ( sk5 @ A @ a ) ) )
      @ a ) ),
    inference(pre_uni,[status(thm)],[808:[bind(A,$thf( ^ [B: $i] : ( rel @ sk3 @ ( sk5 @ B @ a ) ) ))]]) ).

thf(8,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( rel @ sk2 @ A )
      | ( a @ A )
      | ~ ( rel @ A @ B )
      | ( a @ B )
      | ~ ( rel @ B @ C )
      | ( s @ C ) ),
    inference(cnf,[status(esa)],[5]) ).

thf(195,plain,
    ( ~ ( prop_a @ ( sk6 @ sk1 @ prop_a ) )
    | ( prop_a @ sk3 ) ),
    inference(prim_subst,[status(thm)],[123:[bind(A,$thf( prop_a ))]]) ).

thf(359,plain,
    ! [A: $i] :
      ( ( rel @ A
        @ ( sk5 @ A
          @ ^ [B: $i] : $false ) )
      | $false ),
    inference(prim_subst,[status(thm)],[13:[bind(A,$thf( ^ [C: $i] : $false ))]]) ).

thf(442,plain,
    ! [A: $i] :
      ( rel @ A
      @ ( sk5 @ A
        @ ^ [B: $i] : $false ) ),
    inference(simp,[status(thm)],[359]) ).

thf(1627,plain,
    $false,
    inference(e,[status(thm)],[5,185,14,206,862,197,73,7,123,16,10,384,292,6,9,188,388,393,13,296,17,375,22,1388,711,391,12,712,855,1400,864,11,8,378,268,195,15,442]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem  : SWV427^2 : TPTP v8.2.0. Released v3.6.0.
% 0.10/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.36  % Computer : n008.cluster.edu
% 0.16/0.36  % Model    : x86_64 x86_64
% 0.16/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36  % Memory   : 8042.1875MB
% 0.16/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36  % CPULimit : 300
% 0.16/0.36  % WCLimit  : 300
% 0.16/0.36  % DateTime : Sun May 19 07:55:24 EDT 2024
% 0.16/0.36  % CPUTime  : 
% 1.04/0.93  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.49/1.09  % [INFO] 	 Parsing done (156ms). 
% 1.49/1.10  % [INFO] 	 Running in sequential loop mode. 
% 1.86/1.31  % [INFO] 	 eprover registered as external prover. 
% 1.86/1.31  % [INFO] 	 cvc4 registered as external prover. 
% 1.86/1.31  % [INFO] 	 Scanning for conjecture ... 
% 2.08/1.39  % [INFO] 	 Found a conjecture (or negated_conjecture) and 2 axioms. Running axiom selection ... 
% 2.23/1.41  % [INFO] 	 Axiom selection finished. Selected 2 axioms (removed 0 axioms). 
% 2.23/1.41  % [INFO] 	 Problem is higher-order (TPTP THF). 
% 2.23/1.41  % [INFO] 	 Type checking passed. 
% 2.23/1.42  % [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 ... 
% 12.98/3.32  % External prover 'e' found a proof!
% 12.98/3.32  % [INFO] 	 Killing All external provers ... 
% 12.98/3.33  % Time passed: 2805ms (effective reasoning time: 2221ms)
% 12.98/3.33  % 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)>
% 12.98/3.33  % Axioms used in derivation (2): trans_axiom, refl_axiom
% 12.98/3.33  % No. of inferences in proof: 70
% 12.98/3.33  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p : 2805 ms resp. 2221 ms w/o parsing
% 12.98/3.37  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 12.98/3.37  % [INFO] 	 Killing All external provers ... 
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