TSTP Solution File: NUM376+1.010 by Leo-III---1.7.7

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.7
% Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n001.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 11:40:23 EDT 2023

% Result   : Unsatisfiable 8.76s 5.73s
% Output   : Refutation 9.18s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   15
% Syntax   : Number of formulae    :   17 (   1 unt;  14 typ;   0 def)
%            Number of atoms       :  443 ( 442 equ;   0 cnn)
%            Maximal formula atoms :  221 ( 147 avg)
%            Number of connectives : 1120 ( 112   ~;  40   |; 400   &; 568   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :  204 ( 136 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    4 (   4   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   16 (  14 usr;  12 con; 0-2 aty)
%            Number of variables   :    4 (   0   ^;   0   !;   4   ?;   4   :)

% Comments : 
%------------------------------------------------------------------------------
thf(succ_type,type,
    succ: $i > $i ).

thf(n0_type,type,
    n0: $i ).

thf(n1_type,type,
    n1: $i ).

thf(n2_type,type,
    n2: $i ).

thf(n3_type,type,
    n3: $i ).

thf(n4_type,type,
    n4: $i ).

thf(n5_type,type,
    n5: $i ).

thf(n6_type,type,
    n6: $i ).

thf(n7_type,type,
    n7: $i ).

thf(n8_type,type,
    n8: $i ).

thf(n9_type,type,
    n9: $i ).

thf(n10_type,type,
    n10: $i ).

thf(pred_type,type,
    pred: $i > $i ).

thf(sum_type,type,
    sum: $i > $i > $i ).

thf(1,axiom,
    ? [A: $i,B: $i] :
      ( ( ( succ @ n0 )
        = n1 )
      & ( ( succ @ n1 )
        = n2 )
      & ( ( succ @ n2 )
        = n3 )
      & ( ( succ @ n3 )
        = n4 )
      & ( ( succ @ n4 )
        = n5 )
      & ( ( succ @ n5 )
        = n6 )
      & ( ( succ @ n6 )
        = n7 )
      & ( ( succ @ n7 )
        = n8 )
      & ( ( succ @ n8 )
        = n9 )
      & ( ( succ @ n9 )
        = n10 )
      & ( ( succ @ n10 )
        = n0 )
      & ( ( pred @ n0 )
        = n10 )
      & ( ( pred @ n1 )
        = n0 )
      & ( ( pred @ n2 )
        = n1 )
      & ( ( pred @ n3 )
        = n2 )
      & ( ( pred @ n4 )
        = n3 )
      & ( ( pred @ n5 )
        = n4 )
      & ( ( pred @ n6 )
        = n5 )
      & ( ( pred @ n7 )
        = n6 )
      & ( ( pred @ n8 )
        = n7 )
      & ( ( pred @ n9 )
        = n8 )
      & ( ( pred @ n10 )
        = n9 )
      & ( ( sum @ n0 @ n0 )
        = n0 )
      & ( ( sum @ n0 @ n1 )
        = n1 )
      & ( ( sum @ n0 @ n2 )
        = n2 )
      & ( ( sum @ n0 @ n3 )
        = n3 )
      & ( ( sum @ n0 @ n4 )
        = n4 )
      & ( ( sum @ n0 @ n5 )
        = n5 )
      & ( ( sum @ n0 @ n6 )
        = n6 )
      & ( ( sum @ n0 @ n7 )
        = n7 )
      & ( ( sum @ n0 @ n8 )
        = n8 )
      & ( ( sum @ n0 @ n9 )
        = n9 )
      & ( ( sum @ n0 @ n10 )
        = n10 )
      & ( ( sum @ n1 @ n0 )
        = n1 )
      & ( ( sum @ n1 @ n1 )
        = n2 )
      & ( ( sum @ n1 @ n2 )
        = n3 )
      & ( ( sum @ n1 @ n3 )
        = n4 )
      & ( ( sum @ n1 @ n4 )
        = n5 )
      & ( ( sum @ n1 @ n5 )
        = n6 )
      & ( ( sum @ n1 @ n6 )
        = n7 )
      & ( ( sum @ n1 @ n7 )
        = n8 )
      & ( ( sum @ n1 @ n8 )
        = n9 )
      & ( ( sum @ n1 @ n9 )
        = n10 )
      & ( ( sum @ n1 @ n10 )
        = n0 )
      & ( ( sum @ n2 @ n0 )
        = n2 )
      & ( ( sum @ n2 @ n1 )
        = n3 )
      & ( ( sum @ n2 @ n2 )
        = n4 )
      & ( ( sum @ n2 @ n3 )
        = n5 )
      & ( ( sum @ n2 @ n4 )
        = n6 )
      & ( ( sum @ n2 @ n5 )
        = n7 )
      & ( ( sum @ n2 @ n6 )
        = n8 )
      & ( ( sum @ n2 @ n7 )
        = n9 )
      & ( ( sum @ n2 @ n8 )
        = n10 )
      & ( ( sum @ n2 @ n9 )
        = n0 )
      & ( ( sum @ n2 @ n10 )
        = n1 )
      & ( ( sum @ n3 @ n0 )
        = n3 )
      & ( ( sum @ n3 @ n1 )
        = n4 )
      & ( ( sum @ n3 @ n2 )
        = n5 )
      & ( ( sum @ n3 @ n3 )
        = n6 )
      & ( ( sum @ n3 @ n4 )
        = n7 )
      & ( ( sum @ n3 @ n5 )
        = n8 )
      & ( ( sum @ n3 @ n6 )
        = n9 )
      & ( ( sum @ n3 @ n7 )
        = n10 )
      & ( ( sum @ n3 @ n8 )
        = n0 )
      & ( ( sum @ n3 @ n9 )
        = n1 )
      & ( ( sum @ n3 @ n10 )
        = n2 )
      & ( ( sum @ n4 @ n0 )
        = n4 )
      & ( ( sum @ n4 @ n1 )
        = n5 )
      & ( ( sum @ n4 @ n2 )
        = n6 )
      & ( ( sum @ n4 @ n3 )
        = n7 )
      & ( ( sum @ n4 @ n4 )
        = n8 )
      & ( ( sum @ n4 @ n5 )
        = n9 )
      & ( ( sum @ n4 @ n6 )
        = n10 )
      & ( ( sum @ n4 @ n7 )
        = n0 )
      & ( ( sum @ n4 @ n8 )
        = n1 )
      & ( ( sum @ n4 @ n9 )
        = n2 )
      & ( ( sum @ n4 @ n10 )
        = n3 )
      & ( ( sum @ n5 @ n0 )
        = n5 )
      & ( ( sum @ n5 @ n1 )
        = n6 )
      & ( ( sum @ n5 @ n2 )
        = n7 )
      & ( ( sum @ n5 @ n3 )
        = n8 )
      & ( ( sum @ n5 @ n4 )
        = n9 )
      & ( ( sum @ n5 @ n5 )
        = n10 )
      & ( ( sum @ n5 @ n6 )
        = n0 )
      & ( ( sum @ n5 @ n7 )
        = n1 )
      & ( ( sum @ n5 @ n8 )
        = n2 )
      & ( ( sum @ n5 @ n9 )
        = n3 )
      & ( ( sum @ n5 @ n10 )
        = n4 )
      & ( ( sum @ n6 @ n0 )
        = n6 )
      & ( ( sum @ n6 @ n1 )
        = n7 )
      & ( ( sum @ n6 @ n2 )
        = n8 )
      & ( ( sum @ n6 @ n3 )
        = n9 )
      & ( ( sum @ n6 @ n4 )
        = n10 )
      & ( ( sum @ n6 @ n5 )
        = n0 )
      & ( ( sum @ n6 @ n6 )
        = n1 )
      & ( ( sum @ n6 @ n7 )
        = n2 )
      & ( ( sum @ n6 @ n8 )
        = n3 )
      & ( ( sum @ n6 @ n9 )
        = n4 )
      & ( ( sum @ n6 @ n10 )
        = n5 )
      & ( ( sum @ n7 @ n0 )
        = n7 )
      & ( ( sum @ n7 @ n1 )
        = n8 )
      & ( ( sum @ n7 @ n2 )
        = n9 )
      & ( ( sum @ n7 @ n3 )
        = n10 )
      & ( ( sum @ n7 @ n4 )
        = n0 )
      & ( ( sum @ n7 @ n5 )
        = n1 )
      & ( ( sum @ n7 @ n6 )
        = n2 )
      & ( ( sum @ n7 @ n7 )
        = n3 )
      & ( ( sum @ n7 @ n8 )
        = n4 )
      & ( ( sum @ n7 @ n9 )
        = n5 )
      & ( ( sum @ n7 @ n10 )
        = n6 )
      & ( ( sum @ n8 @ n0 )
        = n8 )
      & ( ( sum @ n8 @ n1 )
        = n9 )
      & ( ( sum @ n8 @ n2 )
        = n10 )
      & ( ( sum @ n8 @ n3 )
        = n0 )
      & ( ( sum @ n8 @ n4 )
        = n1 )
      & ( ( sum @ n8 @ n5 )
        = n2 )
      & ( ( sum @ n8 @ n6 )
        = n3 )
      & ( ( sum @ n8 @ n7 )
        = n4 )
      & ( ( sum @ n8 @ n8 )
        = n5 )
      & ( ( sum @ n8 @ n9 )
        = n6 )
      & ( ( sum @ n8 @ n10 )
        = n7 )
      & ( ( sum @ n9 @ n0 )
        = n9 )
      & ( ( sum @ n9 @ n1 )
        = n10 )
      & ( ( sum @ n9 @ n2 )
        = n0 )
      & ( ( sum @ n9 @ n3 )
        = n1 )
      & ( ( sum @ n9 @ n4 )
        = n2 )
      & ( ( sum @ n9 @ n5 )
        = n3 )
      & ( ( sum @ n9 @ n6 )
        = n4 )
      & ( ( sum @ n9 @ n7 )
        = n5 )
      & ( ( sum @ n9 @ n8 )
        = n6 )
      & ( ( sum @ n9 @ n9 )
        = n7 )
      & ( ( sum @ n9 @ n10 )
        = n8 )
      & ( ( sum @ n10 @ n0 )
        = n10 )
      & ( ( sum @ n10 @ n1 )
        = n0 )
      & ( ( sum @ n10 @ n2 )
        = n1 )
      & ( ( sum @ n10 @ n3 )
        = n2 )
      & ( ( sum @ n10 @ n4 )
        = n3 )
      & ( ( sum @ n10 @ n5 )
        = n4 )
      & ( ( sum @ n10 @ n6 )
        = n5 )
      & ( ( sum @ n10 @ n7 )
        = n6 )
      & ( ( sum @ n10 @ n8 )
        = n7 )
      & ( ( sum @ n10 @ n9 )
        = n8 )
      & ( ( sum @ n10 @ n10 )
        = n9 )
      & ( ( A = n0 )
        | ( A = n1 )
        | ( A = n2 )
        | ( A = n3 )
        | ( A = n4 )
        | ( A = n5 )
        | ( A = n6 )
        | ( A = n7 )
        | ( A = n8 )
        | ( A = n9 )
        | ( A = n10 ) )
      & ( ( B = n0 )
        | ( B = n1 )
        | ( B = n2 )
        | ( B = n3 )
        | ( B = n4 )
        | ( B = n5 )
        | ( B = n6 )
        | ( B = n7 )
        | ( B = n8 )
        | ( B = n9 )
        | ( B = n10 ) )
      & ( ( sum @ ( sum @ ( pred @ A ) @ ( succ @ B ) ) @ ( sum @ ( pred @ B ) @ ( succ @ A ) ) )
       != ( sum @ ( sum @ ( pred @ A ) @ ( succ @ A ) ) @ ( sum @ ( pred @ B ) @ ( succ @ B ) ) ) )
      & ( n0 != n1 )
      & ( n0 != n2 )
      & ( n0 != n3 )
      & ( n0 != n4 )
      & ( n0 != n5 )
      & ( n0 != n6 )
      & ( n0 != n7 )
      & ( n0 != n8 )
      & ( n0 != n9 )
      & ( n0 != n10 )
      & ( n1 != n2 )
      & ( n1 != n3 )
      & ( n1 != n4 )
      & ( n1 != n5 )
      & ( n1 != n6 )
      & ( n1 != n7 )
      & ( n1 != n8 )
      & ( n1 != n9 )
      & ( n1 != n10 )
      & ( n2 != n3 )
      & ( n2 != n4 )
      & ( n2 != n5 )
      & ( n2 != n6 )
      & ( n2 != n7 )
      & ( n2 != n8 )
      & ( n2 != n9 )
      & ( n2 != n10 )
      & ( n3 != n4 )
      & ( n3 != n5 )
      & ( n3 != n6 )
      & ( n3 != n7 )
      & ( n3 != n8 )
      & ( n3 != n9 )
      & ( n3 != n10 )
      & ( n4 != n5 )
      & ( n4 != n6 )
      & ( n4 != n7 )
      & ( n4 != n8 )
      & ( n4 != n9 )
      & ( n4 != n10 )
      & ( n5 != n6 )
      & ( n5 != n7 )
      & ( n5 != n8 )
      & ( n5 != n9 )
      & ( n5 != n10 )
      & ( n6 != n7 )
      & ( n6 != n8 )
      & ( n6 != n9 )
      & ( n6 != n10 )
      & ( n7 != n8 )
      & ( n7 != n9 )
      & ( n7 != n10 )
      & ( n8 != n9 )
      & ( n8 != n10 )
      & ( n9 != n10 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',try_satisfy_this) ).

thf(2,plain,
    ? [A: $i,B: $i] :
      ( ( ( succ @ n0 )
        = n1 )
      & ( ( succ @ n1 )
        = n2 )
      & ( ( succ @ n2 )
        = n3 )
      & ( ( succ @ n3 )
        = n4 )
      & ( ( succ @ n4 )
        = n5 )
      & ( ( succ @ n5 )
        = n6 )
      & ( ( succ @ n6 )
        = n7 )
      & ( ( succ @ n7 )
        = n8 )
      & ( ( succ @ n8 )
        = n9 )
      & ( ( succ @ n9 )
        = n10 )
      & ( ( succ @ n10 )
        = n0 )
      & ( ( pred @ n0 )
        = n10 )
      & ( ( pred @ n1 )
        = n0 )
      & ( ( pred @ n2 )
        = n1 )
      & ( ( pred @ n3 )
        = n2 )
      & ( ( pred @ n4 )
        = n3 )
      & ( ( pred @ n5 )
        = n4 )
      & ( ( pred @ n6 )
        = n5 )
      & ( ( pred @ n7 )
        = n6 )
      & ( ( pred @ n8 )
        = n7 )
      & ( ( pred @ n9 )
        = n8 )
      & ( ( pred @ n10 )
        = n9 )
      & ( ( sum @ n0 @ n0 )
        = n0 )
      & ( ( sum @ n0 @ n1 )
        = n1 )
      & ( ( sum @ n0 @ n2 )
        = n2 )
      & ( ( sum @ n0 @ n3 )
        = n3 )
      & ( ( sum @ n0 @ n4 )
        = n4 )
      & ( ( sum @ n0 @ n5 )
        = n5 )
      & ( ( sum @ n0 @ n6 )
        = n6 )
      & ( ( sum @ n0 @ n7 )
        = n7 )
      & ( ( sum @ n0 @ n8 )
        = n8 )
      & ( ( sum @ n0 @ n9 )
        = n9 )
      & ( ( sum @ n0 @ n10 )
        = n10 )
      & ( ( sum @ n1 @ n0 )
        = n1 )
      & ( ( sum @ n1 @ n1 )
        = n2 )
      & ( ( sum @ n1 @ n2 )
        = n3 )
      & ( ( sum @ n1 @ n3 )
        = n4 )
      & ( ( sum @ n1 @ n4 )
        = n5 )
      & ( ( sum @ n1 @ n5 )
        = n6 )
      & ( ( sum @ n1 @ n6 )
        = n7 )
      & ( ( sum @ n1 @ n7 )
        = n8 )
      & ( ( sum @ n1 @ n8 )
        = n9 )
      & ( ( sum @ n1 @ n9 )
        = n10 )
      & ( ( sum @ n1 @ n10 )
        = n0 )
      & ( ( sum @ n2 @ n0 )
        = n2 )
      & ( ( sum @ n2 @ n1 )
        = n3 )
      & ( ( sum @ n2 @ n2 )
        = n4 )
      & ( ( sum @ n2 @ n3 )
        = n5 )
      & ( ( sum @ n2 @ n4 )
        = n6 )
      & ( ( sum @ n2 @ n5 )
        = n7 )
      & ( ( sum @ n2 @ n6 )
        = n8 )
      & ( ( sum @ n2 @ n7 )
        = n9 )
      & ( ( sum @ n2 @ n8 )
        = n10 )
      & ( ( sum @ n2 @ n9 )
        = n0 )
      & ( ( sum @ n2 @ n10 )
        = n1 )
      & ( ( sum @ n3 @ n0 )
        = n3 )
      & ( ( sum @ n3 @ n1 )
        = n4 )
      & ( ( sum @ n3 @ n2 )
        = n5 )
      & ( ( sum @ n3 @ n3 )
        = n6 )
      & ( ( sum @ n3 @ n4 )
        = n7 )
      & ( ( sum @ n3 @ n5 )
        = n8 )
      & ( ( sum @ n3 @ n6 )
        = n9 )
      & ( ( sum @ n3 @ n7 )
        = n10 )
      & ( ( sum @ n3 @ n8 )
        = n0 )
      & ( ( sum @ n3 @ n9 )
        = n1 )
      & ( ( sum @ n3 @ n10 )
        = n2 )
      & ( ( sum @ n4 @ n0 )
        = n4 )
      & ( ( sum @ n4 @ n1 )
        = n5 )
      & ( ( sum @ n4 @ n2 )
        = n6 )
      & ( ( sum @ n4 @ n3 )
        = n7 )
      & ( ( sum @ n4 @ n4 )
        = n8 )
      & ( ( sum @ n4 @ n5 )
        = n9 )
      & ( ( sum @ n4 @ n6 )
        = n10 )
      & ( ( sum @ n4 @ n7 )
        = n0 )
      & ( ( sum @ n4 @ n8 )
        = n1 )
      & ( ( sum @ n4 @ n9 )
        = n2 )
      & ( ( sum @ n4 @ n10 )
        = n3 )
      & ( ( sum @ n5 @ n0 )
        = n5 )
      & ( ( sum @ n5 @ n1 )
        = n6 )
      & ( ( sum @ n5 @ n2 )
        = n7 )
      & ( ( sum @ n5 @ n3 )
        = n8 )
      & ( ( sum @ n5 @ n4 )
        = n9 )
      & ( ( sum @ n5 @ n5 )
        = n10 )
      & ( ( sum @ n5 @ n6 )
        = n0 )
      & ( ( sum @ n5 @ n7 )
        = n1 )
      & ( ( sum @ n5 @ n8 )
        = n2 )
      & ( ( sum @ n5 @ n9 )
        = n3 )
      & ( ( sum @ n5 @ n10 )
        = n4 )
      & ( ( sum @ n6 @ n0 )
        = n6 )
      & ( ( sum @ n6 @ n1 )
        = n7 )
      & ( ( sum @ n6 @ n2 )
        = n8 )
      & ( ( sum @ n6 @ n3 )
        = n9 )
      & ( ( sum @ n6 @ n4 )
        = n10 )
      & ( ( sum @ n6 @ n5 )
        = n0 )
      & ( ( sum @ n6 @ n6 )
        = n1 )
      & ( ( sum @ n6 @ n7 )
        = n2 )
      & ( ( sum @ n6 @ n8 )
        = n3 )
      & ( ( sum @ n6 @ n9 )
        = n4 )
      & ( ( sum @ n6 @ n10 )
        = n5 )
      & ( ( sum @ n7 @ n0 )
        = n7 )
      & ( ( sum @ n7 @ n1 )
        = n8 )
      & ( ( sum @ n7 @ n2 )
        = n9 )
      & ( ( sum @ n7 @ n3 )
        = n10 )
      & ( ( sum @ n7 @ n4 )
        = n0 )
      & ( ( sum @ n7 @ n5 )
        = n1 )
      & ( ( sum @ n7 @ n6 )
        = n2 )
      & ( ( sum @ n7 @ n7 )
        = n3 )
      & ( ( sum @ n7 @ n8 )
        = n4 )
      & ( ( sum @ n7 @ n9 )
        = n5 )
      & ( ( sum @ n7 @ n10 )
        = n6 )
      & ( ( sum @ n8 @ n0 )
        = n8 )
      & ( ( sum @ n8 @ n1 )
        = n9 )
      & ( ( sum @ n8 @ n2 )
        = n10 )
      & ( ( sum @ n8 @ n3 )
        = n0 )
      & ( ( sum @ n8 @ n4 )
        = n1 )
      & ( ( sum @ n8 @ n5 )
        = n2 )
      & ( ( sum @ n8 @ n6 )
        = n3 )
      & ( ( sum @ n8 @ n7 )
        = n4 )
      & ( ( sum @ n8 @ n8 )
        = n5 )
      & ( ( sum @ n8 @ n9 )
        = n6 )
      & ( ( sum @ n8 @ n10 )
        = n7 )
      & ( ( sum @ n9 @ n0 )
        = n9 )
      & ( ( sum @ n9 @ n1 )
        = n10 )
      & ( ( sum @ n9 @ n2 )
        = n0 )
      & ( ( sum @ n9 @ n3 )
        = n1 )
      & ( ( sum @ n9 @ n4 )
        = n2 )
      & ( ( sum @ n9 @ n5 )
        = n3 )
      & ( ( sum @ n9 @ n6 )
        = n4 )
      & ( ( sum @ n9 @ n7 )
        = n5 )
      & ( ( sum @ n9 @ n8 )
        = n6 )
      & ( ( sum @ n9 @ n9 )
        = n7 )
      & ( ( sum @ n9 @ n10 )
        = n8 )
      & ( ( sum @ n10 @ n0 )
        = n10 )
      & ( ( sum @ n10 @ n1 )
        = n0 )
      & ( ( sum @ n10 @ n2 )
        = n1 )
      & ( ( sum @ n10 @ n3 )
        = n2 )
      & ( ( sum @ n10 @ n4 )
        = n3 )
      & ( ( sum @ n10 @ n5 )
        = n4 )
      & ( ( sum @ n10 @ n6 )
        = n5 )
      & ( ( sum @ n10 @ n7 )
        = n6 )
      & ( ( sum @ n10 @ n8 )
        = n7 )
      & ( ( sum @ n10 @ n9 )
        = n8 )
      & ( ( sum @ n10 @ n10 )
        = n9 )
      & ( ( A = n0 )
        | ( A = n1 )
        | ( A = n2 )
        | ( A = n3 )
        | ( A = n4 )
        | ( A = n5 )
        | ( A = n6 )
        | ( A = n7 )
        | ( A = n8 )
        | ( A = n9 )
        | ( A = n10 ) )
      & ( ( B = n0 )
        | ( B = n1 )
        | ( B = n2 )
        | ( B = n3 )
        | ( B = n4 )
        | ( B = n5 )
        | ( B = n6 )
        | ( B = n7 )
        | ( B = n8 )
        | ( B = n9 )
        | ( B = n10 ) )
      & ( ( sum @ ( sum @ ( pred @ A ) @ ( succ @ B ) ) @ ( sum @ ( pred @ B ) @ ( succ @ A ) ) )
       != ( sum @ ( sum @ ( pred @ A ) @ ( succ @ A ) ) @ ( sum @ ( pred @ B ) @ ( succ @ B ) ) ) )
      & ( n0 != n1 )
      & ( n0 != n2 )
      & ( n0 != n3 )
      & ( n0 != n4 )
      & ( n0 != n5 )
      & ( n0 != n6 )
      & ( n0 != n7 )
      & ( n0 != n8 )
      & ( n0 != n9 )
      & ( n0 != n10 )
      & ( n1 != n2 )
      & ( n1 != n3 )
      & ( n1 != n4 )
      & ( n1 != n5 )
      & ( n1 != n6 )
      & ( n1 != n7 )
      & ( n1 != n8 )
      & ( n1 != n9 )
      & ( n1 != n10 )
      & ( n2 != n3 )
      & ( n2 != n4 )
      & ( n2 != n5 )
      & ( n2 != n6 )
      & ( n2 != n7 )
      & ( n2 != n8 )
      & ( n2 != n9 )
      & ( n2 != n10 )
      & ( n3 != n4 )
      & ( n3 != n5 )
      & ( n3 != n6 )
      & ( n3 != n7 )
      & ( n3 != n8 )
      & ( n3 != n9 )
      & ( n3 != n10 )
      & ( n4 != n5 )
      & ( n4 != n6 )
      & ( n4 != n7 )
      & ( n4 != n8 )
      & ( n4 != n9 )
      & ( n4 != n10 )
      & ( n5 != n6 )
      & ( n5 != n7 )
      & ( n5 != n8 )
      & ( n5 != n9 )
      & ( n5 != n10 )
      & ( n6 != n7 )
      & ( n6 != n8 )
      & ( n6 != n9 )
      & ( n6 != n10 )
      & ( n7 != n8 )
      & ( n7 != n9 )
      & ( n7 != n10 )
      & ( n8 != n9 )
      & ( n8 != n10 )
      & ( n9 != n10 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(406,plain,
    $false,
    inference(e,[status(thm)],[2]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : NUM376+1.010 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.15  % Command  : run_Leo-III %s %d
% 0.16/0.35  % Computer : n001.cluster.edu
% 0.16/0.35  % Model    : x86_64 x86_64
% 0.16/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.35  % Memory   : 8042.1875MB
% 0.16/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.16/0.35  % CPULimit : 300
% 0.16/0.35  % WCLimit  : 300
% 0.16/0.35  % DateTime : Thu May 18 17:35:21 EDT 2023
% 0.16/0.36  % CPUTime  : 
% 0.95/0.84  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.19/0.98  % [INFO] 	 Parsing done (142ms). 
% 1.19/0.99  % [INFO] 	 Running in sequential loop mode. 
% 1.76/1.20  % [INFO] 	 eprover registered as external prover. 
% 1.76/1.20  % [INFO] 	 cvc4 registered as external prover. 
% 1.76/1.20  % [INFO] 	 Scanning for conjecture ... 
% 1.95/1.25  % [INFO] 	 1 axioms and no conjecture found. 
% 2.47/1.46  % [INFO] 	 Problem is first-order (TPTP FOF). 
% 2.47/1.47  % [INFO] 	 Type checking passed. 
% 2.47/1.47  % [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 ... 
% 8.76/5.73  % External prover 'e' found a proof!
% 8.76/5.73  % [INFO] 	 Killing All external provers ... 
% 8.76/5.73  % Time passed: 5213ms (effective reasoning time: 4737ms)
% 8.76/5.73  % Axioms used in derivation (1): try_satisfy_this
% 8.76/5.73  % No. of inferences in proof: 3
% 8.76/5.73  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 5213 ms resp. 4737 ms w/o parsing
% 9.18/5.78  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 9.18/5.78  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------