↑ Up

Leo-III---1.8.0.UNS-Ref.s

View TPTP
Problem
Process solution in
SystemOnTSTP
Download .tgz
%------------------------------------------------------------------------------
% File     : Leo-III---1.8.0
% Problem  : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39

% Computer : n018.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Sun Sep 27 07:32:15 AM UTC 2026

% Result   : Unsatisfiable 9.85s 4.50s
% Output   : Refutation 10.52s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    2
%            Number of leaves      :   94
% Syntax   : Number of formulae    :  189 (  17 unt;   0 typ;   0 def)
%            Number of atoms       :  751 ( 100 equ;   0 cnn)
%            Maximal formula atoms :    7 (   3 avg)
%            Number of connectives : 2438 ( 318   ~; 562   |;   0   &;1558   @)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   14 (   9 avg)
%            Number of types       :    2 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of symbols     :   26 (  24 usr;   6 con; 0-3 aty)
%            Number of variables   :  278 (   0   ^; 278   !;   0   ?; 278   :)

% Comments : 
%------------------------------------------------------------------------------
thf(p_Rd_decl,type,
    p_Rd: $i > $o ).

thf(x_140_decl,type,
    x_140: $i ).

thf(p_Reset_decl,type,
    p_Reset: $i > $o ).

thf(p_Data_out_decl,type,
    p_Data_out: $i > $i > $o ).

thf(x_139_decl,type,
    x_139: $i ).

thf(plus_decl,type,
    plus: $i > $i > $i ).

thf(n1_decl,type,
    n1: $i ).

thf(int_level_decl,type,
    int_level: $i > $i ).

thf(n0_decl,type,
    n0: $i ).

thf(p_Empty_decl,type,
    p_Empty: $i > $o ).

thf(level_decl,type,
    level: $i > $i ).

thf(fifo_length_decl,type,
    fifo_length: $i ).

thf(p_Full_decl,type,
    p_Full: $i > $o ).

thf(gt_decl,type,
    gt: $i > $i > $o ).

thf(def_10_decl,type,
    def_10: $i > $i > $o ).

thf(p_Wr_decl,type,
    p_Wr: $i > $o ).

thf(p_Mem_decl,type,
    p_Mem: $i > $i > $i > $o ).

thf(wr_level_decl,type,
    wr_level: $i > $i ).

thf(p_Data_in_decl,type,
    p_Data_in: $i > $i > $o ).

thf(p_Wr_error_decl,type,
    p_Wr_error: $i > $o ).

thf(p_Rd_error_decl,type,
    p_Rd_error: $i > $o ).

thf(minus_decl,type,
    minus: $i > $i > $i ).

thf(y_27_decl,type,
    y_27: $i > $i ).

thf(rd_level_decl,type,
    rd_level: $i > $i ).

thf(44,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( B @ def_10 ) )
      | ( ( B @ ( C @ plus ) )
       != A )
      | ( ( B @ ( A @ minus ) )
        = C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_5) ).

thf(202,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( B @ def_10 ) )
      | ( ( B @ ( C @ plus ) )
       != A )
      | ( ( B @ ( A @ minus ) )
        = C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[44]) ).

thf(15,axiom,
    ! [B: $i,A: $i] :
      ( ( B != A )
      | ~ ( B @ ( A @ def_10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_7) ).

thf(129,plain,
    ! [B: $i,A: $i] :
      ( ( B != A )
      | ~ ( B @ ( A @ def_10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[15]) ).

thf(67,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_46) ).

thf(259,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[67]) ).

thf(94,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_61) ).

thf(326,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[94]) ).

thf(74,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_78) ).

thf(277,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[74]) ).

thf(84,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_77) ).

thf(301,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[84]) ).

thf(91,axiom,
    ! [A: $i] : ( n0 @ ( n1 @ ( A @ plus ) @ gt ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_2) ).

thf(320,plain,
    ! [A: $i] : ( n0 @ ( n1 @ ( A @ plus ) @ gt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[91]) ).

thf(13,axiom,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_17) ).

thf(125,plain,
    ! [A: $i] :
      ~ ( A @ ( A @ gt ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[13]) ).

thf(42,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( n1 @ ( A @ int_level @ plus ) ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_59) ).

thf(196,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( n1 @ ( A @ int_level @ plus ) ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[42]) ).

thf(26,axiom,
    ( n1
    = ( n1 @ ( n0 @ plus ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_20) ).

thf(157,plain,
    ( n1
    = ( n1 @ ( n0 @ plus ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[26]) ).

thf(77,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = n0 )
      | ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_68) ).

thf(284,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = n0 )
      | ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[77]) ).

thf(24,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ minus ) @ ( A @ gt ) )
      | ~ ( n0 @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_3) ).

thf(152,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ minus ) @ ( A @ gt ) )
      | ~ ( n0 @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[24]) ).

thf(79,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( n1 @ ( A @ wr_level @ plus ) ) )
      | ~ ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_40) ).

thf(289,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( n1 @ ( A @ wr_level @ plus ) ) )
      | ~ ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[79]) ).

thf(68,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_81) ).

thf(261,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[68]) ).

thf(29,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_82) ).

thf(164,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[29]) ).

thf(35,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_in ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_63) ).

thf(179,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_in ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[35]) ).

thf(92,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( A @ wr_level ) )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_69) ).

thf(321,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( A @ wr_level ) )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[92]) ).

thf(47,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_84) ).

thf(211,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[47]) ).

thf(6,axiom,
    ! [A: $i] :
      ( ( A @ level )
      = ( A @ int_level ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_21) ).

thf(106,plain,
    ! [A: $i] :
      ( ( A @ level )
      = ( A @ int_level ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[6]) ).

thf(58,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( n1 @ ( B @ plus ) @ ( n1 @ ( A @ plus ) @ gt ) )
      | ( B @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_9) ).

thf(238,plain,
    ! [B: $i,A: $i] :
      ( ~ ( n1 @ ( B @ plus ) @ ( n1 @ ( A @ plus ) @ gt ) )
      | ( B @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[58]) ).

thf(75,axiom,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_52) ).

thf(280,plain,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[75]) ).

thf(51,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_80) ).

thf(221,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[51]) ).

thf(16,axiom,
    ! [A: $i] :
      ( ( A @ ( n0 @ plus ) )
      = A ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_19) ).

thf(133,plain,
    ! [A: $i] :
      ( ( A @ ( n0 @ plus ) )
      = A ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[16]) ).

thf(60,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_73) ).

thf(243,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[60]) ).

thf(88,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_88) ).

thf(312,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[88]) ).

thf(45,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_58) ).

thf(206,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[45]) ).

thf(80,axiom,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( B @ ( A @ gt ) )
      | ~ ( B @ ( n1 @ ( A @ plus ) @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_11) ).

thf(292,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( B @ ( A @ gt ) )
      | ~ ( B @ ( n1 @ ( A @ plus ) @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[80]) ).

thf(62,axiom,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_30) ).

thf(248,plain,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[62]) ).

thf(10,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ gt ) )
      | ( C @ ( A @ gt ) )
      | ~ ( B @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_13) ).

thf(117,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( C @ ( B @ gt ) )
      | ( C @ ( A @ gt ) )
      | ~ ( B @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[10]) ).

thf(71,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_62) ).

thf(270,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[71]) ).

thf(82,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_42) ).

thf(297,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[82]) ).

thf(73,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_in ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_36) ).

thf(275,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_in ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[73]) ).

thf(18,axiom,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_51) ).

thf(137,plain,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[18]) ).

thf(64,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_47) ).

thf(252,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[64]) ).

thf(3,negated_conjecture,
    ( ~ ( n1 @ ( x_140 @ plus ) @ ( x_139 @ p_Data_out ) )
    | ~ ( x_140 @ ( x_139 @ p_Data_out ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_3) ).

thf(97,plain,
    ( ~ ( n1 @ ( x_140 @ plus ) @ ( x_139 @ p_Data_out ) )
    | ~ ( x_140 @ ( x_139 @ p_Data_out ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[3]) ).

thf(93,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_in ) )
      | ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_37) ).

thf(324,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_in ) )
      | ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[93]) ).

thf(90,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = n0 )
      | ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_75) ).

thf(317,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = n0 )
      | ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[90]) ).

thf(39,axiom,
    ! [A: $i] :
      ( ~ ( A @ p_Rd_error )
      | ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_86) ).

thf(188,plain,
    ! [A: $i] :
      ( ~ ( A @ p_Rd_error )
      | ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[39]) ).

thf(31,axiom,
    ! [B: $i,A: $i] :
      ( ( n1 @ ( B @ plus ) @ ( A @ gt ) )
      | ( ( n1 @ ( B @ plus ) )
        = A )
      | ~ ( B @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_14) ).

thf(169,plain,
    ! [B: $i,A: $i] :
      ( ( n1 @ ( B @ plus ) @ ( A @ gt ) )
      | ( ( n1 @ ( B @ plus ) )
        = A )
      | ~ ( B @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[31]) ).

thf(20,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = n0 )
      | ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_41) ).

thf(141,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = n0 )
      | ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[20]) ).

thf(66,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = n0 )
      | ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_57) ).

thf(256,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = n0 )
      | ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[66]) ).

thf(53,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_76) ).

thf(225,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[53]) ).

thf(2,negated_conjecture,
    ~ ( x_140 @ p_Reset ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_2) ).

thf(96,plain,
    ~ ( x_140 @ p_Reset ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[2]) ).

thf(69,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = n0 )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_28) ).

thf(264,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = n0 )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[69]) ).

thf(23,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( A @ wr_level ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_43) ).

thf(149,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( A @ wr_level ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[23]) ).

thf(21,axiom,
    ! [A: $i] :
      ( ( A @ p_Rd_error )
      | ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_49) ).

thf(144,plain,
    ! [A: $i] :
      ( ( A @ p_Rd_error )
      | ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[21]) ).

thf(36,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_31) ).

thf(181,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[36]) ).

thf(27,axiom,
    ! [A: $i] :
      ( ( A
        = ( n1 @ ( A @ y_27 @ plus ) ) )
      | ( A = n0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_16) ).

thf(159,plain,
    ! [A: $i] :
      ( ( A
        = ( n1 @ ( A @ y_27 @ plus ) ) )
      | ( A = n0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[27]) ).

thf(32,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_66) ).

thf(172,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[32]) ).

thf(55,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_79) ).

thf(230,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[55]) ).

thf(61,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( n1 @ ( A @ int_level @ plus ) ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_35) ).

thf(245,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( n1 @ ( A @ int_level @ plus ) ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[61]) ).

thf(4,negated_conjecture,
    ( ( n1 @ ( x_140 @ plus ) @ ( x_139 @ p_Data_out ) )
    | ( x_140 @ ( x_139 @ p_Data_out ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_4) ).

thf(98,plain,
    ( ( n1 @ ( x_140 @ plus ) @ ( x_139 @ p_Data_out ) )
    | ( x_140 @ ( x_139 @ p_Data_out ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[4]) ).

thf(46,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_33) ).

thf(208,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[46]) ).

thf(5,axiom,
    ! [A: $i] :
      ( ( A @ p_Empty )
      | ( ( A @ int_level )
       != n0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_24) ).

thf(103,plain,
    ! [A: $i] :
      ( ( A @ p_Empty )
      | ( ( A @ int_level )
       != n0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[5]) ).

thf(48,axiom,
    ! [A: $i] :
      ( ~ ( A @ p_Wr_error )
      | ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_90) ).

thf(213,plain,
    ! [A: $i] :
      ( ~ ( A @ p_Wr_error )
      | ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[48]) ).

thf(59,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_60) ).

thf(240,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( A @ rd_level ) )
      | ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[59]) ).

thf(7,axiom,
    ! [A: $i] :
      ( ~ ( A @ p_Full )
      | ( ( A @ int_level )
        = fifo_length ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_23) ).

thf(108,plain,
    ! [A: $i] :
      ( ~ ( A @ p_Full )
      | ( ( A @ int_level )
        = fifo_length ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[7]) ).

thf(52,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_83) ).

thf(223,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ p_Data_out ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[52]) ).

thf(86,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_38) ).

thf(306,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[86]) ).

thf(17,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_in ) )
      | ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_64) ).

thf(135,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_in ) )
      | ( n1 @ ( A @ plus ) @ ( B @ ( A @ wr_level @ p_Mem ) ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[17]) ).

thf(83,axiom,
    ! [B: $i,A: $i] :
      ( ( n1 @ ( B @ plus ) @ ( n1 @ ( A @ plus ) @ gt ) )
      | ~ ( B @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_8) ).

thf(299,plain,
    ! [B: $i,A: $i] :
      ( ( n1 @ ( B @ plus ) @ ( n1 @ ( A @ plus ) @ gt ) )
      | ~ ( B @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[83]) ).

thf(70,axiom,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) )
     != n0 ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_1) ).

thf(267,plain,
    ! [A: $i] :
      ( ( n1 @ ( A @ plus ) )
     != n0 ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[70]) ).

thf(30,axiom,
    ! [A: $i] :
      ( ( A @ p_Rd_error )
      | ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_85) ).

thf(167,plain,
    ! [A: $i] :
      ( ( A @ p_Rd_error )
      | ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[30]) ).

thf(28,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_54) ).

thf(162,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[28]) ).

thf(41,axiom,
    ! [A: $i] :
      ( ( A @ p_Wr_error )
      | ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_89) ).

thf(194,plain,
    ! [A: $i] :
      ( ( A @ p_Wr_error )
      | ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[41]) ).

thf(81,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_72) ).

thf(295,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[81]) ).

thf(76,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_45) ).

thf(282,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[76]) ).

thf(1,negated_conjecture,
    ~ ( x_140 @ p_Rd ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',quest_1) ).

thf(95,plain,
    ~ ( x_140 @ p_Rd ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[1]) ).

thf(43,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_39) ).

thf(199,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ~ ( A @ ( C @ ( B @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[43]) ).

thf(34,axiom,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_34) ).

thf(177,plain,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ~ ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[34]) ).

thf(14,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ gt ) )
      | ~ ( B @ ( A @ def_10 ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_6) ).

thf(127,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ gt ) )
      | ~ ( B @ ( A @ def_10 ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[14]) ).

thf(25,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = n0 )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_27) ).

thf(154,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = n0 )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[25]) ).

thf(33,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_55) ).

thf(175,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ ( A @ rd_level @ p_Mem ) ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[33]) ).

thf(89,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = n0 )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_26) ).

thf(314,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = n0 )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[89]) ).

thf(63,axiom,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_70) ).

thf(250,plain,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[63]) ).

thf(50,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_44) ).

thf(218,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ( A @ int_level @ ( fifo_length @ gt ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[50]) ).

thf(85,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_87) ).

thf(304,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[85]) ).

thf(38,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_32) ).

thf(186,plain,
    ! [B: $i,A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[38]) ).

thf(9,axiom,
    ! [A: $i] :
      ( ( A @ p_Full )
      | ( ( A @ int_level )
       != fifo_length ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_22) ).

thf(114,plain,
    ! [A: $i] :
      ( ( A @ p_Full )
      | ( ( A @ int_level )
       != fifo_length ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[9]) ).

thf(19,axiom,
    ! [A: $i] :
      ( ~ ( A @ p_Rd_error )
      | ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_50) ).

thf(139,plain,
    ! [A: $i] :
      ( ~ ( A @ p_Rd_error )
      | ( n1 @ ( A @ plus ) @ p_Rd_error )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[19]) ).

thf(11,axiom,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ gt ) )
      | ( B = A )
      | ( B @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_12) ).

thf(119,plain,
    ! [B: $i,A: $i] :
      ( ( A @ ( B @ gt ) )
      | ( B = A )
      | ( B @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[11]) ).

thf(57,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( n1 @ ( A @ rd_level @ plus ) ) )
      | ~ ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_74) ).

thf(235,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( n1 @ ( A @ rd_level @ plus ) ) )
      | ~ ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[57]) ).

thf(72,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( n1 @ ( A @ int_level @ minus ) ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_71) ).

thf(272,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( n1 @ ( A @ int_level @ minus ) ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[72]) ).

thf(78,axiom,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ~ ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_29) ).

thf(287,plain,
    ! [A: $i] :
      ( ~ ( n1 @ ( A @ plus ) @ p_Wr_error )
      | ~ ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[78]) ).

thf(22,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_65) ).

thf(146,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( C @ ( B @ p_Mem ) ) )
      | ~ ( n1 @ ( A @ plus ) @ ( C @ ( B @ p_Mem ) ) )
      | ( B
        = ( A @ wr_level ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[22]) ).

thf(40,axiom,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( B @ def_10 ) )
      | ( ( B @ ( C @ plus ) )
        = A )
      | ( ( B @ ( A @ minus ) )
       != C ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_4) ).

thf(190,plain,
    ! [C: $i,B: $i,A: $i] :
      ( ( A @ ( B @ def_10 ) )
      | ( ( B @ ( C @ plus ) )
        = A )
      | ( ( B @ ( A @ minus ) )
       != C ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[40]) ).

thf(37,axiom,
    ! [B: $i,A: $i] :
      ( ( B = A )
      | ~ ( B @ ( n1 @ ( A @ plus ) @ gt ) )
      | ( B @ ( A @ gt ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_10) ).

thf(183,plain,
    ! [B: $i,A: $i] :
      ( ( B = A )
      | ~ ( B @ ( n1 @ ( A @ plus ) @ gt ) )
      | ( B @ ( A @ gt ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[37]) ).

thf(8,axiom,
    ! [A: $i] :
      ( ~ ( A @ p_Empty )
      | ( ( A @ int_level )
        = n0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_25) ).

thf(111,plain,
    ! [A: $i] :
      ( ~ ( A @ p_Empty )
      | ( ( A @ int_level )
        = n0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[8]) ).

thf(12,axiom,
    ! [A: $i] :
      ( ( n0 @ ( A @ gt ) )
      | ( A = n0 ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_15) ).

thf(122,plain,
    ! [A: $i] :
      ( ( n0 @ ( A @ gt ) )
      | ( A = n0 ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[12]) ).

thf(87,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( n1 @ ( A @ wr_level @ plus ) ) )
      | ~ ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_67) ).

thf(309,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ wr_level )
        = ( n1 @ ( A @ wr_level @ plus ) ) )
      | ~ ( A @ wr_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[87]) ).

thf(49,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_53) ).

thf(215,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ int_level )
        = ( A @ int_level ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[49]) ).

thf(56,axiom,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( n1 @ ( A @ rd_level @ plus ) ) )
      | ~ ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_56) ).

thf(232,plain,
    ! [A: $i] :
      ( ( ( n1 @ ( A @ plus ) @ rd_level )
        = ( n1 @ ( A @ rd_level @ plus ) ) )
      | ~ ( A @ rd_level @ ( n1 @ ( fifo_length @ minus ) @ gt ) )
      | ~ ( n0 @ ( A @ int_level @ gt ) )
      | ~ ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[56]) ).

thf(65,axiom,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_48) ).

thf(254,plain,
    ! [B: $i,A: $i] :
      ( ~ ( A @ ( B @ p_Data_out ) )
      | ( n1 @ ( A @ plus ) @ ( B @ p_Data_out ) )
      | ( A @ p_Rd )
      | ~ ( A @ p_Wr )
      | ( A @ p_Reset ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[65]) ).

thf(54,axiom,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( ( n1 @ ( A @ plus ) )
       != ( n1 @ ( B @ plus ) ) ) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',axiom_18) ).

thf(227,plain,
    ! [B: $i,A: $i] :
      ( ( A = B )
      | ( ( n1 @ ( A @ plus ) )
       != ( n1 @ ( B @ plus ) ) ) ),
    inference(defexp_and_simp_and_etaexpand,[status(thm)],[54]) ).

thf(330,plain,
    $false,
    inference(e,[status(thm)],[202,129,259,326,277,301,320,125,196,157,284,152,289,261,164,179,321,211,106,238,280,221,133,243,312,206,292,248,117,270,297,275,137,252,97,324,317,188,169,141,256,225,96,264,149,144,181,159,172,230,245,98,208,103,213,240,108,223,306,135,299,267,167,162,194,295,282,95,199,177,127,154,175,314,250,218,304,186,114,139,119,235,272,287,146,190,183,111,122,309,215,232,254,227]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05  % Problem  : HWV024-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.13  % Command  : java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 0.25/0.49  % Computer : n018.cluster.edu
% 0.25/0.49  % Model    : x86_64 x86_64
% 0.25/0.49  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.25/0.49  % Memory   : 8046.5625MB
% 0.25/0.49  % OS       : Linux 6.8.0-71-generic
% 0.25/0.49  % CPULimit : 300
% 0.25/0.49  % WCLimit  : 300
% 0.25/0.49  % DateTime : Fri Sep 25 16:04:06 UTC 2026
% 0.25/0.49  % CPUTime  : 
% 0.25/0.49  Running java -Xss128m -Xmx2g -Xms1g -jar /export/starexec/sandbox2/solver/bin/leo3.jar /export/starexec/sandbox2/benchmark/theBenchmark.p -t 300 -p  --atp eprover=/export/starexec/sandbox2/solver/bin/externals/eprover --instantiate 39
% 1.41/1.34  % [INFO] 	 Parsing problem /export/starexec/sandbox2/benchmark/theBenchmark.p ... 
% 2.33/1.72  % [INFO] 	 Parsing done (373ms). 
% 2.33/1.74  % [INFO] 	 Running in sequential loop mode. 
% 3.67/2.35  % [INFO] 	 eprover registered as external prover. 
% 3.67/2.37  % [INFO] 	 Scanning for conjecture ... 
% 4.04/2.55  % [INFO] 	 Found a conjecture (or negated_conjecture) and 90 axioms. Running axiom selection ... 
% 4.22/2.69  % [INFO] 	 Axiom selection finished. Selected 90 axioms (removed 0 axioms). 
% 4.82/2.84  % [INFO] 	 Problem is propositional (TPTP CNF). 
% 4.82/2.85  % [INFO] 	 Type checking passed. 
% 4.82/2.86  % [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 ... 
% 9.43/4.49  % External prover 'e' found a proof!
% 9.43/4.49  % [INFO] 	 Killing All external provers ... 
% 9.43/4.50  % Time passed: 3786ms (effective reasoning time: 2742ms)
% 9.85/4.50  % Axioms used in derivation (90): axiom_64, axiom_53, axiom_75, axiom_7, axiom_26, axiom_55, axiom_88, axiom_33, axiom_10, axiom_40, axiom_22, axiom_59, axiom_77, axiom_44, axiom_49, axiom_15, axiom_73, axiom_67, axiom_69, axiom_51, axiom_21, axiom_19, axiom_84, axiom_63, axiom_38, axiom_2, axiom_79, axiom_89, axiom_43, axiom_27, axiom_32, axiom_6, axiom_60, axiom_78, axiom_54, axiom_16, axiom_81, axiom_50, axiom_74, axiom_3, axiom_68, axiom_46, axiom_20, axiom_85, axiom_70, axiom_42, axiom_31, axiom_24, axiom_90, axiom_1, axiom_57, axiom_61, axiom_35, axiom_28, axiom_65, axiom_36, axiom_39, axiom_80, axiom_71, axiom_8, axiom_17, axiom_86, axiom_5, axiom_47, axiom_13, axiom_82, axiom_41, axiom_25, axiom_76, axiom_52, axiom_34, axiom_58, axiom_62, axiom_45, axiom_29, axiom_11, axiom_56, axiom_30, axiom_23, axiom_18, axiom_87, axiom_12, axiom_9, axiom_48, axiom_83, axiom_14, axiom_72, axiom_4, axiom_66, axiom_37
% 9.85/4.50  % No. of inferences in proof: 189
% 9.85/4.50  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p : 3786 ms resp. 2742 ms w/o parsing
% 10.52/4.70  % SZS output start Refutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.52/4.71  % [INFO] 	 Killing All external provers ... 
%------------------------------------------------------------------------------