TSTP Solution File: SYO634-1 by Leo-III---1.7.12

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Leo-III---1.7.12
% Problem  : SYO634-1 : TPTP v8.2.0. Released v7.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_Leo-III %s %d

% Computer : n020.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 08:57:46 EDT 2024

% Result   : Unsatisfiable 5.12s 2.10s
% Output   : Refutation 5.29s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   29
% Syntax   : Number of formulae    :   53 (   9 unt;   6 typ;   0 def)
%            Number of atoms       :  283 (   0 equ;   0 cnn)
%            Maximal formula atoms :   11 (   6 avg)
%            Number of connectives : 3432 ( 238   ~; 236   |;   0   &;2958   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   38 (  24 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    8 (   8   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :    7 (   6 usr;   2 con; 0-2 aty)
%            Number of variables   :  278 (   0   ^ 278   !;   0   ?; 278   :)

% Comments : 
%------------------------------------------------------------------------------
thf('\'E\'_type',type,
    '\'E\'': $i > $i > $o ).

thf(f_type,type,
    f: $i > $i ).

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

thf('\'0\'_type',type,
    '\'0\'': $i ).

thf('\'LEQ\'_type',type,
    '\'LEQ\'': $i > $i > $o ).

thf('\'AP\'_type',type,
    '\'AP\'': $i > $i > $i ).

thf(21,axiom,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) @ F ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_22_21) ).

thf(61,plain,
    ! [F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) @ F ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(23,axiom,
    ! [B: $i,A: $i] : ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) @ A ) @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_19_23) ).

thf(65,plain,
    ! [B: $i,A: $i] : ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) @ A ) @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(17,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ '\'0\'' ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ J ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ K ) @ '\'0\'' ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3_17) ).

thf(53,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ '\'0\'' ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ J ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ K ) @ '\'0\'' ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(15,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ H ) ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_18_15) ).

thf(49,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ H ) ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(9,axiom,
    ! [A: $i] : ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_17_09) ).

thf(39,plain,
    ! [A: $i] : ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(7,axiom,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) @ H ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ H ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_5_07) ).

thf(35,plain,
    ! [H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) @ H ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ H ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(22,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ '\'0\'' ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ J ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ K ) ) @ '\'0\'' ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_10_22) ).

thf(63,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ '\'0\'' ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ J ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ K ) ) @ '\'0\'' ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(5,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) @ C ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_7_05) ).

thf(31,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) @ C ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(16,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) @ E ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2_16) ).

thf(51,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) @ E ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(14,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_12_14) ).

thf(47,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(11,axiom,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ J ) ) @ ( s @ '\'0\'' ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_8_11) ).

thf(42,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ J ) ) @ ( s @ '\'0\'' ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(1,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_21_01) ).

thf(24,plain,
    ! [B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(8,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) @ G ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ G ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_20_08) ).

thf(37,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) @ G ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ G ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(13,axiom,
    ! [B: $i,A: $i] : ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) @ A ) @ B ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_6_13) ).

thf(46,plain,
    ! [B: $i,A: $i] : ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) @ A ) @ B ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(19,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ I ) ) @ ( s @ ( s @ '\'0\'' ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_0_19) ).

thf(57,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ I ) ) @ ( s @ ( s @ '\'0\'' ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(4,axiom,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ '\'0\'' ) ) @ I ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ I ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_4_04) ).

thf(29,plain,
    ! [I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ '\'0\'' ) ) @ I ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ I ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(3,axiom,
    ! [A: $i] : ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_11_03) ).

thf(28,plain,
    ! [A: $i] : ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(6,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1_06) ).

thf(33,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(12,axiom,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ G ) ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_9_12) ).

thf(44,plain,
    ! [G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ G ) ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(20,axiom,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_15_20) ).

thf(59,plain,
    ! [E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(10,axiom,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ '\'0\'' ) @ J ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ J ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_16_10) ).

thf(40,plain,
    ! [J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ '\'0\'' ) @ J ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ J ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(2,axiom,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ '\'0\'' ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ J ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ '\'0\'' @ K ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ K ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_14_02) ).

thf(26,plain,
    ! [K: $i,J: $i,I: $i,H: $i,G: $i,F: $i,E: $i,D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ '\'0\'' ) )
      | ~ ( '\'E\'' @ ( f @ D ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ E ) @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ F ) @ ( s @ ( s @ '\'0\'' ) ) )
      | ~ ( '\'E\'' @ ( f @ G ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ H ) @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) )
      | ~ ( '\'E\'' @ ( f @ I ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ J ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ '\'0\'' @ K ) @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) ) @ K ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(18,axiom,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) @ D ) @ B ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_13_18) ).

thf(55,plain,
    ! [D: $i,C: $i,B: $i,A: $i] :
      ( ~ ( '\'E\'' @ ( f @ A ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ B ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) ) ) )
      | ~ ( '\'E\'' @ ( f @ C ) @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) ) )
      | ( '\'LEQ\'' @ ( '\'AP\'' @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ ( s @ '\'0\'' ) ) ) ) ) ) ) @ D ) @ B ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(66,plain,
    $false,
    inference(e,[status(thm)],[61,65,53,49,39,35,63,31,51,47,42,24,37,46,57,29,28,33,44,59,40,26,55]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : SYO634-1 : TPTP v8.2.0. Released v7.1.0.
% 0.11/0.15  % Command  : run_Leo-III %s %d
% 0.15/0.36  % Computer : n020.cluster.edu
% 0.15/0.36  % Model    : x86_64 x86_64
% 0.15/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36  % Memory   : 8042.1875MB
% 0.15/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36  % CPULimit : 300
% 0.15/0.36  % WCLimit  : 300
% 0.15/0.36  % DateTime : Mon May 20 10:04:09 EDT 2024
% 0.15/0.36  % CPUTime  : 
% 0.98/0.86  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 1.42/1.03  % [INFO] 	 Parsing done (168ms). 
% 1.42/1.04  % [INFO] 	 Running in sequential loop mode. 
% 1.93/1.27  % [INFO] 	 eprover registered as external prover. 
% 1.93/1.27  % [INFO] 	 cvc4 registered as external prover. 
% 1.93/1.27  % [INFO] 	 Scanning for conjecture ... 
% 2.19/1.32  % [INFO] 	 23 axioms and no conjecture found. 
% 2.42/1.42  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 2.42/1.42  % [INFO] 	 Type checking passed. 
% 2.42/1.43  % [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 ... 
% 5.12/2.09  % External prover 'e' found a proof!
% 5.12/2.09  % [INFO] 	 Killing All external provers ... 
% 5.12/2.09  % Time passed: 1571ms (effective reasoning time: 1049ms)
% 5.12/2.10  % Axioms used in derivation (23): clause_2_16, clause_7_05, clause_1_06, clause_3_17, clause_15_20, clause_6_13, clause_9_12, clause_22_21, clause_17_09, clause_18_15, clause_16_10, clause_20_08, clause_5_07, clause_0_19, clause_10_22, clause_4_04, clause_21_01, clause_14_02, clause_19_23, clause_13_18, clause_8_11, clause_11_03, clause_12_14
% 5.12/2.10  % No. of inferences in proof: 47
% 5.12/2.10  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 1571 ms resp. 1049 ms w/o parsing
% 5.29/2.21  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 5.29/2.21  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------